TSTP Solution File: RNG008-5 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG008-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:15:18 EDT 2022
% Result : Unsatisfiable 23.48s 3.33s
% Output : Refutation 23.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 228
% Syntax : Number of formulae : 982 ( 62 unt; 0 def)
% Number of atoms : 2129 ( 163 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 2094 ( 947 ~; 945 |; 0 &)
% ( 202 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 206 ( 204 usr; 203 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 591 ( 591 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16887,plain,
$false,
inference(avatar_smt_refutation,[],[f31,f36,f41,f120,f125,f140,f145,f182,f187,f210,f223,f231,f238,f320,f347,f359,f380,f416,f449,f456,f541,f590,f616,f632,f637,f659,f665,f672,f678,f709,f715,f754,f760,f953,f989,f996,f1013,f1019,f1214,f1220,f1289,f1294,f1402,f1408,f1417,f1423,f1440,f1482,f3376,f3382,f3402,f3407,f3412,f3417,f3439,f3541,f3547,f3572,f3577,f3583,f3596,f4769,f4777,f4837,f4843,f4877,f4891,f4915,f4920,f4929,f4952,f4957,f5019,f5276,f5282,f5306,f5311,f5950,f8544,f8572,f8577,f8583,f8588,f8593,f8599,f8722,f8728,f8734,f8739,f9285,f9345,f9350,f12687,f14244,f14254,f14262,f14269,f14274,f14279,f14285,f14290,f14296,f14305,f14348,f14353,f14359,f14364,f14366,f14367,f14373,f14377,f14380,f14385,f14444,f14450,f14455,f14461,f14468,f14473,f14480,f14485,f14490,f14582,f14613,f14624,f14631,f14636,f14790,f14798,f14804,f14815,f14827,f14832,f14842,f14847,f14856,f14863,f14919,f14926,f14931,f14938,f14943,f14957,f14967,f14972,f14977,f14983,f14986,f14991,f14997,f15002,f15007,f15009,f15080,f15100,f15106,f15118,f15165,f15170,f15176,f15181,f15186,f15191,f15196,f15202,f15207,f15214,f15219,f15220,f15227,f15232,f15237,f15405,f15413,f15420,f15430,f15455,f15460,f15467,f15474,f15627,f15635,f15645,f15655,f15666,f15672,f15677,f16014,f16022,f16031,f16039,f16045,f16284,f16291,f16300,f16305,f16314,f16354,f16359,f16360,f16365,f16370,f16373,f16378,f16383,f16385,f16390,f16404,f16409,f16468,f16474,f16495,f16564,f16581,f16587,f16593,f16871]) ).
fof(f16871,plain,
( spl0_3
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f16850,f16590,f38]) ).
fof(f38,plain,
( spl0_3
<=> product(b,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f16590,plain,
( spl0_202
<=> c = multiply(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f16850,plain,
( product(b,a,c)
| ~ spl0_202 ),
inference(superposition,[],[f3,f16592]) ).
fof(f16592,plain,
( c = multiply(b,a)
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f16590]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f16593,plain,
( spl0_202
| ~ spl0_170
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f16588,f16578,f15464,f16590]) ).
fof(f15464,plain,
( spl0_170
<=> multiply(b,a) = multiply(b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f16578,plain,
( spl0_200
<=> c = multiply(b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f16588,plain,
( c = multiply(b,a)
| ~ spl0_170
| ~ spl0_200 ),
inference(backward_demodulation,[],[f15466,f16580]) ).
fof(f16580,plain,
( c = multiply(b,c)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f16578]) ).
fof(f15466,plain,
( multiply(b,a) = multiply(b,c)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f15464]) ).
fof(f16587,plain,
( spl0_201
| ~ spl0_170
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f16582,f16465,f15464,f16584]) ).
fof(f16584,plain,
( spl0_201
<=> product(b,multiply(b,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f16465,plain,
( spl0_198
<=> product(b,c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f16582,plain,
( product(b,multiply(b,a),c)
| ~ spl0_170
| ~ spl0_198 ),
inference(forward_demodulation,[],[f16526,f15466]) ).
fof(f16526,plain,
( product(b,multiply(b,c),c)
| ~ spl0_198 ),
inference(resolution,[],[f16467,f1181]) ).
fof(f1181,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,multiply(X0,X1),X2) ),
inference(resolution,[],[f71,f24]) ).
fof(f24,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f71,plain,
! [X8,X6,X9,X7,X5] :
( ~ product(X5,X6,X9)
| ~ product(X9,X7,X8)
| product(X5,multiply(X6,X7),X8) ),
inference(resolution,[],[f3,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| product(X0,X4,X5)
| ~ product(X2,X3,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication1) ).
fof(f16467,plain,
( product(b,c,c)
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f16465]) ).
fof(f16581,plain,
( spl0_200
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f16523,f16465,f16578]) ).
fof(f16523,plain,
( c = multiply(b,c)
| ~ spl0_198 ),
inference(resolution,[],[f16467,f267]) ).
fof(f267,plain,
! [X2,X3,X4] :
( ~ product(X2,X3,X4)
| multiply(X2,X3) = X4 ),
inference(resolution,[],[f17,f3]) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| ~ product(X0,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f16564,plain,
( spl0_199
| ~ spl0_170
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f16559,f16465,f15464,f16561]) ).
fof(f16561,plain,
( spl0_199
<=> sum(additive_identity,c,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f16559,plain,
( sum(additive_identity,c,multiply(b,a))
| ~ spl0_170
| ~ spl0_198 ),
inference(forward_demodulation,[],[f16535,f15466]) ).
fof(f16535,plain,
( sum(additive_identity,c,multiply(b,c))
| ~ spl0_198 ),
inference(resolution,[],[f16467,f5314]) ).
fof(f5314,plain,
! [X2,X3,X4] :
( ~ product(X3,X4,X2)
| sum(additive_identity,X2,multiply(X3,X4)) ),
inference(resolution,[],[f1245,f3]) ).
fof(f1245,plain,
! [X10,X8,X9,X7] :
( ~ product(X7,X10,X9)
| sum(additive_identity,X8,X9)
| ~ product(X7,X10,X8) ),
inference(forward_demodulation,[],[f1242,f432]) ).
fof(f432,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f268,f3]) ).
fof(f268,plain,
! [X6,X5] :
( ~ product(X5,additive_identity,X6)
| additive_identity = X6 ),
inference(resolution,[],[f17,f20]) ).
fof(f20,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_id1) ).
fof(f1242,plain,
! [X10,X8,X9,X7] :
( ~ product(X7,X10,X8)
| ~ product(X7,X10,X9)
| sum(multiply(X7,additive_identity),X8,X9) ),
inference(resolution,[],[f50,f3]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,additive_identity,X1)
| sum(X1,X3,X4)
| ~ product(X0,X2,X3)
| ~ product(X0,X2,X4) ),
inference(resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f12,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ sum(X1,X3,X8)
| ~ product(X0,X1,X6)
| ~ product(X0,X3,X7)
| ~ product(X0,X8,X9)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f16495,plain,
( spl0_198
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f16494,f16406,f16465]) ).
fof(f16406,plain,
( spl0_197
<=> product(add(b,c),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f16494,plain,
( product(b,c,c)
| ~ spl0_197 ),
inference(forward_demodulation,[],[f16423,f7105]) ).
fof(f7105,plain,
! [X86,X87] : add(X86,add(X87,X86)) = X87,
inference(forward_demodulation,[],[f6529,f6155]) ).
fof(f6155,plain,
! [X67] : additive_inverse(X67) = X67,
inference(forward_demodulation,[],[f6145,f394]) ).
fof(f394,plain,
! [X2] : add(additive_identity,X2) = X2,
inference(resolution,[],[f257,f4]) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f257,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f1]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| ~ sum(X0,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f6145,plain,
! [X67] : add(additive_identity,X67) = additive_inverse(X67),
inference(superposition,[],[f1706,f6002]) ).
fof(f6002,plain,
! [X67] : additive_identity = add(X67,X67),
inference(resolution,[],[f5957,f263]) ).
fof(f263,plain,
! [X14,X12,X13] :
( ~ sum(X12,X13,X14)
| add(X12,X13) = X14 ),
inference(resolution,[],[f16,f4]) ).
fof(f5957,plain,
! [X0] : sum(X0,X0,additive_identity),
inference(resolution,[],[f5703,f24]) ).
fof(f5703,plain,
! [X16,X15] :
( ~ product(X15,X15,X16)
| sum(X16,X15,additive_identity) ),
inference(forward_demodulation,[],[f5702,f391]) ).
fof(f391,plain,
! [X1] : additive_inverse(additive_inverse(X1)) = X1,
inference(resolution,[],[f257,f90]) ).
fof(f90,plain,
! [X0] : sum(additive_identity,additive_inverse(additive_inverse(X0)),X0),
inference(resolution,[],[f19,f9]) ).
fof(f9,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f19,axiom,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f5702,plain,
! [X16,X15] :
( sum(X16,additive_inverse(additive_inverse(X15)),additive_identity)
| ~ product(X15,X15,X16) ),
inference(forward_demodulation,[],[f5696,f391]) ).
fof(f5696,plain,
! [X16,X15] :
( ~ product(X15,additive_inverse(additive_inverse(X15)),X16)
| sum(X16,additive_inverse(additive_inverse(X15)),additive_identity) ),
inference(resolution,[],[f1450,f307]) ).
fof(f307,plain,
! [X0] : product(X0,additive_inverse(X0),additive_inverse(X0)),
inference(superposition,[],[f23,f289]) ).
fof(f289,plain,
! [X1] : multiply(X1,X1) = X1,
inference(resolution,[],[f266,f3]) ).
fof(f266,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f17,f24]) ).
fof(f23,axiom,
! [X0,X1] : product(X0,additive_inverse(X1),additive_inverse(multiply(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_inverse) ).
fof(f1450,plain,
! [X2,X3,X0,X1] :
( ~ product(additive_inverse(X2),X3,X1)
| ~ product(X2,X3,X0)
| sum(X0,X1,additive_identity) ),
inference(resolution,[],[f67,f21]) ).
fof(f21,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_id2) ).
fof(f67,plain,
! [X10,X8,X6,X9,X7] :
( ~ product(additive_identity,X10,X8)
| sum(X6,X7,X8)
| ~ product(X9,X10,X6)
| ~ product(additive_inverse(X9),X10,X7) ),
inference(resolution,[],[f6,f14]) ).
fof(f14,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ sum(X1,X3,X8)
| sum(X6,X7,X9)
| ~ product(X3,X0,X7)
| ~ product(X8,X0,X9)
| ~ product(X1,X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f1706,plain,
! [X78,X77] : add(add(additive_inverse(X77),X78),X77) = X78,
inference(resolution,[],[f1553,f264]) ).
fof(f264,plain,
! [X16,X17,X15] :
( ~ sum(X15,X16,X17)
| add(X16,X15) = X17 ),
inference(resolution,[],[f16,f85]) ).
fof(f85,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f4,f9]) ).
fof(f1553,plain,
! [X2,X1] : sum(X1,add(additive_inverse(X1),X2),X2),
inference(superposition,[],[f1502,f391]) ).
fof(f1502,plain,
! [X4,X5] : sum(additive_inverse(X4),add(X4,X5),X5),
inference(resolution,[],[f761,f4]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X0),X2,X1) ),
inference(resolution,[],[f101,f5]) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X3,additive_identity)
| ~ sum(X3,X2,X1)
| sum(X0,X1,X2) ),
inference(resolution,[],[f7,f1]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f6529,plain,
! [X86,X87] : add(X86,additive_inverse(add(X87,X86))) = X87,
inference(backward_demodulation,[],[f2156,f6155]) ).
fof(f2156,plain,
! [X86,X87] : additive_inverse(X87) = add(X86,additive_inverse(add(X87,X86))),
inference(resolution,[],[f1509,f263]) ).
fof(f1509,plain,
! [X10,X11] : sum(X10,additive_inverse(add(X11,X10)),additive_inverse(X11)),
inference(forward_demodulation,[],[f1505,f391]) ).
fof(f1505,plain,
! [X10,X11] : sum(additive_inverse(additive_inverse(X10)),additive_inverse(add(X11,X10)),additive_inverse(X11)),
inference(resolution,[],[f761,f241]) ).
fof(f241,plain,
! [X10,X11] : sum(additive_inverse(X10),additive_inverse(X11),additive_inverse(add(X11,X10))),
inference(resolution,[],[f22,f9]) ).
fof(f22,axiom,
! [X0,X1] : sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute_additive_inverse) ).
fof(f16423,plain,
( product(add(c,add(b,c)),c,c)
| ~ spl0_197 ),
inference(resolution,[],[f16408,f8391]) ).
fof(f8391,plain,
! [X0,X1] :
( ~ product(X1,X0,additive_identity)
| product(add(X0,X1),X0,X0) ),
inference(resolution,[],[f7258,f2]) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f7258,plain,
! [X10,X11,X12,X13] :
( ~ sum(X11,X12,X13)
| product(add(X11,X10),X11,X13)
| ~ product(X10,X11,X12) ),
inference(forward_demodulation,[],[f7257,f6155]) ).
fof(f7257,plain,
! [X10,X11,X12,X13] :
( ~ product(additive_inverse(X10),X11,X12)
| ~ sum(X11,X12,X13)
| product(add(X11,X10),X11,X13) ),
inference(forward_demodulation,[],[f7256,f6155]) ).
fof(f7256,plain,
! [X10,X11,X12,X13] :
( product(add(X11,X10),X11,X13)
| ~ product(additive_inverse(X10),additive_inverse(X11),X12)
| ~ sum(X11,X12,X13) ),
inference(forward_demodulation,[],[f7255,f6155]) ).
fof(f7255,plain,
! [X10,X11,X12,X13] :
( ~ sum(additive_inverse(X11),X12,X13)
| ~ product(additive_inverse(X10),additive_inverse(X11),X12)
| product(add(X11,X10),X11,X13) ),
inference(forward_demodulation,[],[f6403,f6155]) ).
fof(f6403,plain,
! [X10,X11,X12,X13] :
( product(additive_inverse(add(X11,X10)),X11,X13)
| ~ product(additive_inverse(X10),additive_inverse(X11),X12)
| ~ sum(additive_inverse(X11),X12,X13) ),
inference(backward_demodulation,[],[f1760,f6155]) ).
fof(f1760,plain,
! [X10,X11,X12,X13] :
( ~ product(additive_inverse(X10),additive_inverse(X11),X12)
| product(additive_inverse(add(X11,X10)),additive_inverse(X11),X13)
| ~ sum(additive_inverse(X11),X12,X13) ),
inference(resolution,[],[f245,f24]) ).
fof(f245,plain,
! [X31,X34,X35,X32,X30,X33] :
( ~ product(additive_inverse(X30),X32,X34)
| ~ product(additive_inverse(X31),X32,X35)
| product(additive_inverse(add(X30,X31)),X32,X33)
| ~ sum(X34,X35,X33) ),
inference(resolution,[],[f22,f15]) ).
fof(f15,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ sum(X1,X3,X8)
| product(X8,X0,X9)
| ~ product(X1,X0,X6)
| ~ product(X3,X0,X7)
| ~ sum(X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
fof(f16408,plain,
( product(add(b,c),c,additive_identity)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f16406]) ).
fof(f16474,plain,
( spl0_198
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f16473,f16406,f16465]) ).
fof(f16473,plain,
( product(b,c,c)
| ~ spl0_197 ),
inference(forward_demodulation,[],[f16472,f7105]) ).
fof(f16472,plain,
( product(add(c,add(b,c)),c,c)
| ~ spl0_197 ),
inference(forward_demodulation,[],[f16460,f395]) ).
fof(f395,plain,
! [X3] : add(X3,additive_identity) = X3,
inference(resolution,[],[f257,f85]) ).
fof(f16460,plain,
( product(add(c,add(b,c)),c,add(c,additive_identity))
| ~ spl0_197 ),
inference(resolution,[],[f16408,f8399]) ).
fof(f8399,plain,
! [X21,X22,X23] :
( ~ product(X22,X21,X23)
| product(add(X21,X22),X21,add(X21,X23)) ),
inference(resolution,[],[f7258,f4]) ).
fof(f16468,plain,
( spl0_198
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f16463,f16406,f16465]) ).
fof(f16463,plain,
( product(b,c,c)
| ~ spl0_197 ),
inference(forward_demodulation,[],[f16462,f7105]) ).
fof(f16462,plain,
( product(add(c,add(b,c)),c,c)
| ~ spl0_197 ),
inference(forward_demodulation,[],[f16461,f394]) ).
fof(f16461,plain,
( product(add(c,add(b,c)),c,add(additive_identity,c))
| ~ spl0_197 ),
inference(resolution,[],[f16408,f8400]) ).
fof(f8400,plain,
! [X26,X24,X25] :
( ~ product(X25,X24,X26)
| product(add(X24,X25),X24,add(X26,X24)) ),
inference(resolution,[],[f7258,f85]) ).
fof(f16409,plain,
( spl0_197
| ~ spl0_181
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f16394,f16375,f16028,f16406]) ).
fof(f16028,plain,
( spl0_181
<=> product(add(b,c),c,add(c,multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f16375,plain,
( spl0_193
<=> additive_identity = add(c,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f16394,plain,
( product(add(b,c),c,additive_identity)
| ~ spl0_181
| ~ spl0_193 ),
inference(backward_demodulation,[],[f16030,f16377]) ).
fof(f16377,plain,
( additive_identity = add(c,multiply(b,a))
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f16375]) ).
fof(f16030,plain,
( product(add(b,c),c,add(c,multiply(b,a)))
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f16028]) ).
fof(f16404,plain,
( spl0_196
| ~ spl0_180
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f16393,f16375,f16019,f16401]) ).
fof(f16401,plain,
( spl0_196
<=> product(add(a,multiply(b,a)),multiply(b,a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f16019,plain,
( spl0_180
<=> product(add(a,multiply(b,a)),multiply(b,a),add(c,multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f16393,plain,
( product(add(a,multiply(b,a)),multiply(b,a),additive_identity)
| ~ spl0_180
| ~ spl0_193 ),
inference(backward_demodulation,[],[f16021,f16377]) ).
fof(f16021,plain,
( product(add(a,multiply(b,a)),multiply(b,a),add(c,multiply(b,a)))
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f16019]) ).
fof(f16390,plain,
( spl0_195
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16319,f16311,f16387]) ).
fof(f16387,plain,
( spl0_195
<=> sum(multiply(b,a),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f16311,plain,
( spl0_188
<=> sum(c,multiply(b,a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f16319,plain,
( sum(multiply(b,a),c,additive_identity)
| ~ spl0_188 ),
inference(resolution,[],[f16313,f9]) ).
fof(f16313,plain,
( sum(c,multiply(b,a),additive_identity)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f16311]) ).
fof(f16385,plain,
( spl0_190
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16384,f16311,f16356]) ).
fof(f16356,plain,
( spl0_190
<=> sum(additive_identity,additive_identity,add(c,multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f16384,plain,
( sum(additive_identity,additive_identity,add(c,multiply(b,a)))
| ~ spl0_188 ),
inference(forward_demodulation,[],[f16340,f518]) ).
fof(f518,plain,
! [X6,X7] : add(X7,X6) = add(X6,X7),
inference(resolution,[],[f263,f85]) ).
fof(f16340,plain,
( sum(additive_identity,additive_identity,add(multiply(b,a),c))
| ~ spl0_188 ),
inference(resolution,[],[f16313,f5866]) ).
fof(f5866,plain,
! [X3,X4,X5] :
( ~ sum(X3,X4,X5)
| sum(additive_identity,X5,add(X4,X3)) ),
inference(resolution,[],[f107,f1]) ).
fof(f107,plain,
! [X28,X29,X26,X27,X25] :
( ~ sum(X25,X29,X28)
| ~ sum(X29,X27,X26)
| sum(X25,X26,add(X27,X28)) ),
inference(resolution,[],[f7,f85]) ).
fof(f16383,plain,
( spl0_194
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16341,f16311,f16380]) ).
fof(f16380,plain,
( spl0_194
<=> sum(c,additive_identity,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f16341,plain,
( sum(c,additive_identity,multiply(b,a))
| ~ spl0_188 ),
inference(resolution,[],[f16313,f5982]) ).
fof(f5982,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,X2,X1) ),
inference(resolution,[],[f5957,f101]) ).
fof(f16378,plain,
( spl0_193
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16334,f16311,f16375]) ).
fof(f16334,plain,
( additive_identity = add(c,multiply(b,a))
| ~ spl0_188 ),
inference(resolution,[],[f16313,f263]) ).
fof(f16373,plain,
( spl0_192
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16315,f16311,f16367]) ).
fof(f16367,plain,
( spl0_192
<=> sum(additive_identity,multiply(b,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f16315,plain,
( sum(additive_identity,multiply(b,a),c)
| ~ spl0_188 ),
inference(resolution,[],[f16313,f6538]) ).
fof(f6538,plain,
! [X2,X3,X4,X5] :
( ~ sum(X4,multiply(X2,X3),X5)
| sum(X5,multiply(X2,X3),X4) ),
inference(backward_demodulation,[],[f2335,f6155]) ).
fof(f2335,plain,
! [X2,X3,X4,X5] :
( sum(X5,multiply(X2,X3),X4)
| ~ sum(X4,multiply(X2,additive_inverse(X3)),X5) ),
inference(superposition,[],[f1139,f530]) ).
fof(f530,plain,
! [X4,X5] : multiply(X4,additive_inverse(X5)) = additive_inverse(multiply(X4,X5)),
inference(resolution,[],[f267,f23]) ).
fof(f1139,plain,
! [X8,X9,X7] :
( ~ sum(X9,additive_inverse(X8),X7)
| sum(X7,X8,X9) ),
inference(forward_demodulation,[],[f1137,f395]) ).
fof(f1137,plain,
! [X8,X9,X7] :
( sum(X7,X8,add(X9,additive_identity))
| ~ sum(X9,additive_inverse(X8),X7) ),
inference(resolution,[],[f130,f4]) ).
fof(f130,plain,
! [X18,X19,X16,X17] :
( ~ sum(X16,additive_identity,X19)
| sum(X18,X17,X19)
| ~ sum(X16,additive_inverse(X17),X18) ),
inference(resolution,[],[f8,f5]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f16370,plain,
( spl0_192
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16342,f16311,f16367]) ).
fof(f16342,plain,
( sum(additive_identity,multiply(b,a),c)
| ~ spl0_188 ),
inference(resolution,[],[f16313,f6219]) ).
fof(f6219,plain,
! [X10,X11,X12] :
( ~ sum(X12,X11,X10)
| sum(X10,X11,X12) ),
inference(backward_demodulation,[],[f1153,f6155]) ).
fof(f1153,plain,
! [X10,X11,X12] :
( ~ sum(X12,X11,X10)
| sum(X10,additive_inverse(X11),X12) ),
inference(forward_demodulation,[],[f1152,f394]) ).
fof(f1152,plain,
! [X10,X11,X12] :
( ~ sum(X12,X11,X10)
| sum(X10,additive_inverse(X11),add(additive_identity,X12)) ),
inference(resolution,[],[f131,f85]) ).
fof(f131,plain,
! [X21,X22,X23,X20] :
( ~ sum(X20,additive_identity,X23)
| sum(X22,additive_inverse(X21),X23)
| ~ sum(X20,X21,X22) ),
inference(resolution,[],[f8,f6]) ).
fof(f16365,plain,
( spl0_191
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16335,f16311,f16362]) ).
fof(f16362,plain,
( spl0_191
<=> additive_identity = add(multiply(b,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f16335,plain,
( additive_identity = add(multiply(b,a),c)
| ~ spl0_188 ),
inference(resolution,[],[f16313,f264]) ).
fof(f16360,plain,
( spl0_189
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16336,f16311,f16351]) ).
fof(f16351,plain,
( spl0_189
<=> sum(add(c,multiply(b,a)),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f16336,plain,
( sum(add(c,multiply(b,a)),additive_identity,additive_identity)
| ~ spl0_188 ),
inference(resolution,[],[f16313,f908]) ).
fof(f908,plain,
! [X10,X8,X9] :
( ~ sum(X8,X9,X10)
| sum(add(X8,X9),additive_identity,X10) ),
inference(resolution,[],[f128,f4]) ).
fof(f128,plain,
! [X10,X11,X8,X9] :
( ~ sum(X8,X9,X10)
| ~ sum(X8,X9,X11)
| sum(X10,additive_identity,X11) ),
inference(resolution,[],[f8,f2]) ).
fof(f16359,plain,
( spl0_190
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16345,f16311,f16356]) ).
fof(f16345,plain,
( sum(additive_identity,additive_identity,add(c,multiply(b,a)))
| ~ spl0_188 ),
inference(resolution,[],[f16313,f7533]) ).
fof(f7533,plain,
! [X16,X14,X15] :
( ~ sum(X15,X14,X16)
| sum(additive_identity,X16,add(X15,X14)) ),
inference(forward_demodulation,[],[f6738,f6155]) ).
fof(f6738,plain,
! [X16,X14,X15] :
( sum(additive_identity,X16,add(X15,X14))
| ~ sum(additive_inverse(X15),X14,X16) ),
inference(backward_demodulation,[],[f5757,f6155]) ).
fof(f5757,plain,
! [X16,X14,X15] :
( ~ sum(additive_inverse(X15),X14,X16)
| sum(additive_identity,X16,add(additive_inverse(X15),X14)) ),
inference(forward_demodulation,[],[f5741,f3606]) ).
fof(f3606,plain,
! [X10,X11] : additive_inverse(add(X11,additive_inverse(X10))) = add(additive_inverse(X11),X10),
inference(superposition,[],[f519,f391]) ).
fof(f519,plain,
! [X8,X9] : additive_inverse(add(X8,X9)) = add(additive_inverse(X8),additive_inverse(X9)),
inference(resolution,[],[f263,f22]) ).
fof(f5741,plain,
! [X16,X14,X15] :
( ~ sum(additive_inverse(X15),X14,X16)
| sum(additive_identity,X16,additive_inverse(add(X15,additive_inverse(X14)))) ),
inference(superposition,[],[f1492,f391]) ).
fof(f1492,plain,
! [X10,X8,X9] :
( ~ sum(additive_inverse(X9),additive_inverse(X10),X8)
| sum(additive_identity,X8,additive_inverse(add(X9,X10))) ),
inference(resolution,[],[f239,f1]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X4,additive_inverse(X2))
| sum(X0,X1,additive_inverse(add(X2,X3)))
| ~ sum(X4,additive_inverse(X3),X1) ),
inference(resolution,[],[f22,f7]) ).
fof(f16354,plain,
( spl0_189
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16349,f16311,f16351]) ).
fof(f16349,plain,
( sum(add(c,multiply(b,a)),additive_identity,additive_identity)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f16337,f518]) ).
fof(f16337,plain,
( sum(add(multiply(b,a),c),additive_identity,additive_identity)
| ~ spl0_188 ),
inference(resolution,[],[f16313,f909]) ).
fof(f909,plain,
! [X11,X12,X13] :
( ~ sum(X11,X12,X13)
| sum(add(X12,X11),additive_identity,X13) ),
inference(resolution,[],[f128,f85]) ).
fof(f16314,plain,
( spl0_188
| ~ spl0_167
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f16308,f16297,f15427,f16311]) ).
fof(f15427,plain,
( spl0_167
<=> sum(c,multiply(b,a),multiply(add(b,c),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f16297,plain,
( spl0_186
<=> additive_identity = multiply(add(b,c),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f16308,plain,
( sum(c,multiply(b,a),additive_identity)
| ~ spl0_167
| ~ spl0_186 ),
inference(backward_demodulation,[],[f15429,f16299]) ).
fof(f16299,plain,
( additive_identity = multiply(add(b,c),c)
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f16297]) ).
fof(f15429,plain,
( sum(c,multiply(b,a),multiply(add(b,c),c))
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f15427]) ).
fof(f16305,plain,
( spl0_187
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f16276,f14964,f16302]) ).
fof(f16302,plain,
( spl0_187
<=> product(multiply(c,multiply(add(b,c),c)),add(b,c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f14964,plain,
( spl0_139
<=> additive_identity = multiply(c,add(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f16276,plain,
( product(multiply(c,multiply(add(b,c),c)),add(b,c),additive_identity)
| ~ spl0_139 ),
inference(superposition,[],[f10409,f14966]) ).
fof(f14966,plain,
( additive_identity = multiply(c,add(b,c))
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f14964]) ).
fof(f10409,plain,
! [X2,X1] : product(multiply(X1,multiply(X2,X1)),X2,multiply(X1,X2)),
inference(backward_demodulation,[],[f643,f10274]) ).
fof(f10274,plain,
! [X59,X60,X61] : multiply(X59,multiply(X60,X61)) = multiply(multiply(X59,X60),X61),
inference(resolution,[],[f4625,f267]) ).
fof(f4625,plain,
! [X2,X3,X4] : product(multiply(X2,X3),X4,multiply(X2,multiply(X3,X4))),
inference(resolution,[],[f1157,f3]) ).
fof(f1157,plain,
! [X3,X6,X4,X5] :
( ~ product(X3,X4,X5)
| product(multiply(X6,X3),X4,multiply(X6,X5)) ),
inference(resolution,[],[f70,f3]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X2,X4,X0)
| ~ product(X4,X1,X3)
| product(X0,X1,multiply(X2,X3)) ),
inference(resolution,[],[f3,f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X4,X5)
| product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
fof(f643,plain,
! [X2,X1] : product(multiply(multiply(X1,X2),X1),X2,multiply(X1,X2)),
inference(resolution,[],[f82,f3]) ).
fof(f82,plain,
! [X6,X4,X5] :
( ~ product(X4,X5,X6)
| product(multiply(X6,X4),X5,X6) ),
inference(resolution,[],[f46,f3]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X3,X0)
| ~ product(X3,X1,X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f11,f24]) ).
fof(f16300,plain,
( spl0_186
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f16295,f14964,f16297]) ).
fof(f16295,plain,
( additive_identity = multiply(add(b,c),c)
| ~ spl0_139 ),
inference(forward_demodulation,[],[f16294,f438]) ).
fof(f438,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f270,f3]) ).
fof(f270,plain,
! [X10,X11] :
( ~ product(additive_identity,X10,X11)
| additive_identity = X11 ),
inference(resolution,[],[f17,f21]) ).
fof(f16294,plain,
( multiply(add(b,c),c) = multiply(additive_identity,c)
| ~ spl0_139 ),
inference(forward_demodulation,[],[f16277,f432]) ).
fof(f16277,plain,
( multiply(multiply(add(b,c),additive_identity),c) = multiply(add(b,c),c)
| ~ spl0_139 ),
inference(superposition,[],[f10417,f14966]) ).
fof(f10417,plain,
! [X31,X32] : multiply(multiply(X31,multiply(X32,X31)),X32) = multiply(X31,X32),
inference(backward_demodulation,[],[f3019,f10274]) ).
fof(f3019,plain,
! [X31,X32] : multiply(multiply(multiply(X31,X32),X31),X32) = multiply(X31,X32),
inference(resolution,[],[f643,f267]) ).
fof(f16291,plain,
( spl0_185
| ~ spl0_2
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f16259,f14964,f33,f16288]) ).
fof(f16288,plain,
( spl0_185
<=> product(c,multiply(add(b,c),multiply(b,add(b,c))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f33,plain,
( spl0_2
<=> product(a,b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f16259,plain,
( product(c,multiply(add(b,c),multiply(b,add(b,c))),additive_identity)
| ~ spl0_2
| ~ spl0_139 ),
inference(superposition,[],[f9530,f14966]) ).
fof(f9530,plain,
( ! [X135] : product(c,multiply(X135,multiply(b,X135)),multiply(c,X135))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f9497,f3455]) ).
fof(f3455,plain,
( ! [X25] : multiply(c,X25) = multiply(a,multiply(b,X25))
| ~ spl0_2 ),
inference(resolution,[],[f3126,f267]) ).
fof(f3126,plain,
( ! [X0] : product(c,X0,multiply(a,multiply(b,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f1166,f3]) ).
fof(f1166,plain,
( ! [X28,X27] :
( ~ product(b,X27,X28)
| product(c,X27,multiply(a,X28)) )
| ~ spl0_2 ),
inference(resolution,[],[f70,f35]) ).
fof(f35,plain,
( product(a,b,c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f9497,plain,
( ! [X135] : product(c,multiply(X135,multiply(b,X135)),multiply(a,multiply(b,X135)))
| ~ spl0_2 ),
inference(resolution,[],[f4785,f1166]) ).
fof(f4785,plain,
! [X4,X5] : product(X4,multiply(X5,multiply(X4,X5)),multiply(X4,X5)),
inference(resolution,[],[f1182,f24]) ).
fof(f1182,plain,
! [X3,X6,X4,X5] :
( ~ product(multiply(X3,X4),X5,X6)
| product(X3,multiply(X4,X5),X6) ),
inference(resolution,[],[f71,f3]) ).
fof(f16284,plain,
( spl0_184
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f16279,f14964,f16281]) ).
fof(f16281,plain,
( spl0_184
<=> product(additive_identity,c,multiply(add(b,c),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f16279,plain,
( product(additive_identity,c,multiply(add(b,c),c))
| ~ spl0_139 ),
inference(forward_demodulation,[],[f16275,f432]) ).
fof(f16275,plain,
( product(multiply(add(b,c),additive_identity),c,multiply(add(b,c),c))
| ~ spl0_139 ),
inference(superposition,[],[f10409,f14966]) ).
fof(f16045,plain,
( spl0_183
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f16040,f33,f16042]) ).
fof(f16042,plain,
( spl0_183
<=> product(add(a,b),b,add(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f16040,plain,
( product(add(a,b),b,add(b,c))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f15995,f518]) ).
fof(f15995,plain,
( product(add(b,a),b,add(b,c))
| ~ spl0_2 ),
inference(resolution,[],[f8399,f35]) ).
fof(f16039,plain,
( spl0_182
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f16034,f15173,f16036]) ).
fof(f16036,plain,
( spl0_182
<=> product(add(c,multiply(b,a)),multiply(b,a),add(c,multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f15173,plain,
( spl0_152
<=> product(c,multiply(b,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f16034,plain,
( product(add(c,multiply(b,a)),multiply(b,a),add(c,multiply(b,a)))
| ~ spl0_152 ),
inference(forward_demodulation,[],[f16004,f518]) ).
fof(f16004,plain,
( product(add(multiply(b,a),c),multiply(b,a),add(multiply(b,a),c))
| ~ spl0_152 ),
inference(resolution,[],[f8399,f15175]) ).
fof(f15175,plain,
( product(c,multiply(b,a),c)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f15173]) ).
fof(f16031,plain,
( spl0_181
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f16026,f15471,f16028]) ).
fof(f15471,plain,
( spl0_171
<=> product(b,c,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f16026,plain,
( product(add(b,c),c,add(c,multiply(b,a)))
| ~ spl0_171 ),
inference(forward_demodulation,[],[f16001,f518]) ).
fof(f16001,plain,
( product(add(c,b),c,add(c,multiply(b,a)))
| ~ spl0_171 ),
inference(resolution,[],[f8399,f15473]) ).
fof(f15473,plain,
( product(b,c,multiply(b,a))
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f15471]) ).
fof(f16022,plain,
( spl0_180
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f16017,f15178,f16019]) ).
fof(f15178,plain,
( spl0_153
<=> product(a,multiply(b,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f16017,plain,
( product(add(a,multiply(b,a)),multiply(b,a),add(c,multiply(b,a)))
| ~ spl0_153 ),
inference(forward_demodulation,[],[f16016,f518]) ).
fof(f16016,plain,
( product(add(multiply(b,a),a),multiply(b,a),add(c,multiply(b,a)))
| ~ spl0_153 ),
inference(forward_demodulation,[],[f15997,f518]) ).
fof(f15997,plain,
( product(add(multiply(b,a),a),multiply(b,a),add(multiply(b,a),c))
| ~ spl0_153 ),
inference(resolution,[],[f8399,f15180]) ).
fof(f15180,plain,
( product(a,multiply(b,a),c)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f15178]) ).
fof(f16014,plain,
( spl0_179
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f16009,f142,f16011]) ).
fof(f16011,plain,
( spl0_179
<=> product(add(b,c),b,add(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f142,plain,
( spl0_7
<=> product(c,b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f16009,plain,
( product(add(b,c),b,add(b,c))
| ~ spl0_7 ),
inference(resolution,[],[f8399,f144]) ).
fof(f144,plain,
( product(c,b,c)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f15677,plain,
( spl0_178
| ~ spl0_123
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15614,f15464,f14787,f15674]) ).
fof(f15674,plain,
( spl0_178
<=> product(c,add(c,multiply(b,a)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f14787,plain,
( spl0_123
<=> product(c,add(c,multiply(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f15614,plain,
( product(c,add(c,multiply(b,a)),additive_identity)
| ~ spl0_123
| ~ spl0_170 ),
inference(backward_demodulation,[],[f14789,f15466]) ).
fof(f14789,plain,
( product(c,add(c,multiply(b,c)),additive_identity)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f14787]) ).
fof(f15672,plain,
( spl0_177
| ~ spl0_96
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15609,f15464,f14266,f15669]) ).
fof(f15669,plain,
( spl0_177
<=> sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f14266,plain,
( spl0_96
<=> sum(multiply(b,c),c,multiply(add(a,multiply(b,c)),multiply(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f15609,plain,
( sum(multiply(b,a),c,multiply(add(a,multiply(b,a)),multiply(b,a)))
| ~ spl0_96
| ~ spl0_170 ),
inference(backward_demodulation,[],[f14268,f15466]) ).
fof(f14268,plain,
( sum(multiply(b,c),c,multiply(add(a,multiply(b,c)),multiply(b,c)))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f14266]) ).
fof(f15666,plain,
( spl0_176
| ~ spl0_128
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15616,f15464,f14829,f15663]) ).
fof(f15663,plain,
( spl0_176
<=> product(a,add(a,multiply(b,a)),add(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f14829,plain,
( spl0_128
<=> product(a,add(a,multiply(b,c)),add(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f15616,plain,
( product(a,add(a,multiply(b,a)),add(a,c))
| ~ spl0_128
| ~ spl0_170 ),
inference(backward_demodulation,[],[f14831,f15466]) ).
fof(f14831,plain,
( product(a,add(a,multiply(b,c)),add(a,c))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f14829]) ).
fof(f15655,plain,
( spl0_175
| ~ spl0_116
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15612,f15464,f14482,f15652]) ).
fof(f15652,plain,
( spl0_175
<=> product(multiply(add(a,c),a),multiply(b,a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f14482,plain,
( spl0_116
<=> product(multiply(add(a,c),a),multiply(b,c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f15612,plain,
( product(multiply(add(a,c),a),multiply(b,a),additive_identity)
| ~ spl0_116
| ~ spl0_170 ),
inference(backward_demodulation,[],[f14484,f15466]) ).
fof(f14484,plain,
( product(multiply(add(a,c),a),multiply(b,c),additive_identity)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f14482]) ).
fof(f15645,plain,
( spl0_174
| ~ spl0_59
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15509,f15464,f3574,f15642]) ).
fof(f15642,plain,
( spl0_174
<=> c = multiply(c,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f3574,plain,
( spl0_59
<=> c = multiply(c,multiply(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f15509,plain,
( c = multiply(c,multiply(b,a))
| ~ spl0_59
| ~ spl0_170 ),
inference(backward_demodulation,[],[f3576,f15466]) ).
fof(f3576,plain,
( c = multiply(c,multiply(b,c))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f3574]) ).
fof(f15635,plain,
( spl0_173
| ~ spl0_102
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15611,f15464,f14302,f15632]) ).
fof(f15632,plain,
( spl0_173
<=> sum(multiply(b,a),c,multiply(add(c,multiply(b,a)),multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f14302,plain,
( spl0_102
<=> sum(multiply(b,c),c,multiply(add(c,multiply(b,c)),multiply(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f15611,plain,
( sum(multiply(b,a),c,multiply(add(c,multiply(b,a)),multiply(b,a)))
| ~ spl0_102
| ~ spl0_170 ),
inference(backward_demodulation,[],[f14304,f15466]) ).
fof(f14304,plain,
( sum(multiply(b,c),c,multiply(add(c,multiply(b,c)),multiply(b,c)))
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f14302]) ).
fof(f15627,plain,
( spl0_172
| ~ spl0_54
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15501,f15464,f3414,f15624]) ).
fof(f15624,plain,
( spl0_172
<=> c = multiply(a,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3414,plain,
( spl0_54
<=> c = multiply(a,multiply(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f15501,plain,
( c = multiply(a,multiply(b,a))
| ~ spl0_54
| ~ spl0_170 ),
inference(backward_demodulation,[],[f3416,f15466]) ).
fof(f3416,plain,
( c = multiply(a,multiply(b,c))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f3414]) ).
fof(f15474,plain,
( spl0_171
| ~ spl0_81
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15285,f15167,f8580,f15471]) ).
fof(f8580,plain,
( spl0_81
<=> product(b,multiply(c,a),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f15167,plain,
( spl0_151
<=> c = multiply(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f15285,plain,
( product(b,c,multiply(b,a))
| ~ spl0_81
| ~ spl0_151 ),
inference(backward_demodulation,[],[f8582,f15169]) ).
fof(f15169,plain,
( c = multiply(c,a)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f15167]) ).
fof(f8582,plain,
( product(b,multiply(c,a),multiply(b,a))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f8580]) ).
fof(f15467,plain,
( spl0_170
| ~ spl0_86
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15312,f15167,f8725,f15464]) ).
fof(f8725,plain,
( spl0_86
<=> multiply(b,multiply(c,a)) = multiply(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f15312,plain,
( multiply(b,a) = multiply(b,c)
| ~ spl0_86
| ~ spl0_151 ),
inference(backward_demodulation,[],[f8727,f15169]) ).
fof(f8727,plain,
( multiply(b,multiply(c,a)) = multiply(b,a)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f8725]) ).
fof(f15460,plain,
( spl0_169
| ~ spl0_90
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15329,f15167,f9342,f15457]) ).
fof(f15457,plain,
( spl0_169
<=> product(multiply(b,a),c,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f9342,plain,
( spl0_90
<=> product(multiply(b,a),multiply(c,a),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f15329,plain,
( product(multiply(b,a),c,multiply(b,a))
| ~ spl0_90
| ~ spl0_151 ),
inference(backward_demodulation,[],[f9344,f15169]) ).
fof(f9344,plain,
( product(multiply(b,a),multiply(c,a),multiply(b,a))
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f9342]) ).
fof(f15455,plain,
( spl0_168
| ~ spl0_87
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15313,f15167,f8731,f15452]) ).
fof(f15452,plain,
( spl0_168
<=> product(multiply(b,c),c,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f8731,plain,
( spl0_87
<=> product(multiply(b,c),multiply(c,a),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f15313,plain,
( product(multiply(b,c),c,multiply(b,a))
| ~ spl0_87
| ~ spl0_151 ),
inference(backward_demodulation,[],[f8733,f15169]) ).
fof(f8733,plain,
( product(multiply(b,c),multiply(c,a),multiply(b,a))
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f8731]) ).
fof(f15430,plain,
( spl0_167
| ~ spl0_95
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15385,f15167,f14259,f15427]) ).
fof(f14259,plain,
( spl0_95
<=> sum(multiply(c,a),multiply(b,a),multiply(add(b,multiply(c,a)),multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f15385,plain,
( sum(c,multiply(b,a),multiply(add(b,c),c))
| ~ spl0_95
| ~ spl0_151 ),
inference(backward_demodulation,[],[f14261,f15169]) ).
fof(f14261,plain,
( sum(multiply(c,a),multiply(b,a),multiply(add(b,multiply(c,a)),multiply(c,a)))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f14259]) ).
fof(f15420,plain,
( spl0_166
| ~ spl0_92
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15378,f15167,f12684,f15417]) ).
fof(f15417,plain,
( spl0_166
<=> multiply(multiply(b,c),c) = multiply(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f12684,plain,
( spl0_92
<=> multiply(b,a) = multiply(multiply(b,c),multiply(c,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f15378,plain,
( multiply(multiply(b,c),c) = multiply(b,a)
| ~ spl0_92
| ~ spl0_151 ),
inference(backward_demodulation,[],[f12686,f15169]) ).
fof(f12686,plain,
( multiply(b,a) = multiply(multiply(b,c),multiply(c,a))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f12684]) ).
fof(f15413,plain,
( spl0_165
| ~ spl0_91
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15330,f15167,f9347,f15410]) ).
fof(f15410,plain,
( spl0_165
<=> multiply(multiply(b,a),c) = multiply(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f9347,plain,
( spl0_91
<=> multiply(b,a) = multiply(multiply(b,a),multiply(c,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f15330,plain,
( multiply(multiply(b,a),c) = multiply(b,a)
| ~ spl0_91
| ~ spl0_151 ),
inference(backward_demodulation,[],[f9349,f15169]) ).
fof(f9349,plain,
( multiply(b,a) = multiply(multiply(b,a),multiply(c,a))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f9347]) ).
fof(f15405,plain,
( spl0_164
| ~ spl0_124
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f15391,f15167,f14795,f15402]) ).
fof(f15402,plain,
( spl0_164
<=> product(b,add(b,c),add(b,multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f14795,plain,
( spl0_124
<=> product(b,add(b,multiply(c,a)),add(b,multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f15391,plain,
( product(b,add(b,c),add(b,multiply(b,a)))
| ~ spl0_124
| ~ spl0_151 ),
inference(backward_demodulation,[],[f14797,f15169]) ).
fof(f14797,plain,
( product(b,add(b,multiply(c,a)),add(b,multiply(b,a)))
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f14795]) ).
fof(f15237,plain,
( spl0_163
| ~ spl0_28
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15120,f15097,f669,f15234]) ).
fof(f15234,plain,
( spl0_163
<=> product(multiply(c,a),multiply(c,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f669,plain,
( spl0_28
<=> product(multiply(c,a),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f15097,plain,
( spl0_148
<=> product(c,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f15120,plain,
( product(multiply(c,a),multiply(c,a),c)
| ~ spl0_28
| ~ spl0_148 ),
inference(resolution,[],[f15099,f1186]) ).
fof(f1186,plain,
( ! [X16,X17] :
( ~ product(c,X16,X17)
| product(multiply(c,a),multiply(c,X16),X17) )
| ~ spl0_28 ),
inference(resolution,[],[f71,f671]) ).
fof(f671,plain,
( product(multiply(c,a),c,c)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f15099,plain,
( product(c,a,c)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f15097]) ).
fof(f15232,plain,
( spl0_162
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15152,f15097,f15229]) ).
fof(f15229,plain,
( spl0_162
<=> sum(multiply(c,a),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f15152,plain,
( sum(multiply(c,a),c,additive_identity)
| ~ spl0_148 ),
inference(resolution,[],[f15099,f6712]) ).
fof(f6712,plain,
! [X8,X9,X7] :
( ~ product(X7,X8,X9)
| sum(multiply(X7,X8),X9,additive_identity) ),
inference(backward_demodulation,[],[f5628,f6155]) ).
fof(f5628,plain,
! [X8,X9,X7] :
( ~ product(X7,X8,X9)
| sum(multiply(additive_inverse(X7),X8),X9,additive_identity) ),
inference(resolution,[],[f1343,f3]) ).
fof(f1343,plain,
! [X10,X8,X9,X7] :
( ~ product(additive_inverse(X10),X9,X7)
| ~ product(X10,X9,X8)
| sum(X7,X8,additive_identity) ),
inference(forward_demodulation,[],[f1340,f438]) ).
fof(f1340,plain,
! [X10,X8,X9,X7] :
( ~ product(additive_inverse(X10),X9,X7)
| sum(X7,X8,multiply(additive_identity,X9))
| ~ product(X10,X9,X8) ),
inference(resolution,[],[f59,f3]) ).
fof(f59,plain,
! [X8,X6,X9,X7,X5] :
( ~ product(additive_identity,X9,X7)
| sum(X5,X6,X7)
| ~ product(additive_inverse(X8),X9,X5)
| ~ product(X8,X9,X6) ),
inference(resolution,[],[f5,f14]) ).
fof(f15227,plain,
( spl0_161
| ~ spl0_5
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15122,f15097,f122,f15224]) ).
fof(f15224,plain,
( spl0_161
<=> product(a,multiply(c,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f122,plain,
( spl0_5
<=> product(a,c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f15122,plain,
( product(a,multiply(c,a),c)
| ~ spl0_5
| ~ spl0_148 ),
inference(resolution,[],[f15099,f1192]) ).
fof(f1192,plain,
( ! [X29,X30] :
( ~ product(c,X29,X30)
| product(a,multiply(c,X29),X30) )
| ~ spl0_5 ),
inference(resolution,[],[f71,f124]) ).
fof(f124,plain,
( product(a,c,c)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f15220,plain,
( spl0_159
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15157,f15097,f15211]) ).
fof(f15211,plain,
( spl0_159
<=> product(additive_identity,a,add(c,multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f15157,plain,
( product(additive_identity,a,add(c,multiply(c,a)))
| ~ spl0_148 ),
inference(resolution,[],[f15099,f8096]) ).
fof(f8096,plain,
! [X14,X15,X13] :
( ~ product(X13,X14,X15)
| product(additive_identity,X14,add(X15,multiply(X13,X14))) ),
inference(resolution,[],[f6233,f85]) ).
fof(f6233,plain,
! [X10,X11,X8,X9] :
( ~ sum(multiply(X10,X8),X11,X9)
| ~ product(X10,X8,X11)
| product(additive_identity,X8,X9) ),
inference(backward_demodulation,[],[f1330,f6155]) ).
fof(f1330,plain,
! [X10,X11,X8,X9] :
( product(additive_identity,X8,X9)
| ~ product(X10,X8,X11)
| ~ sum(multiply(additive_inverse(X10),X8),X11,X9) ),
inference(resolution,[],[f58,f3]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(additive_inverse(X2),X0,X3)
| product(additive_identity,X0,X1)
| ~ sum(X3,X4,X1)
| ~ product(X2,X0,X4) ),
inference(resolution,[],[f5,f15]) ).
fof(f15219,plain,
( spl0_160
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15158,f15097,f15216]) ).
fof(f15216,plain,
( spl0_160
<=> sum(a,c,multiply(add(a,c),a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f15158,plain,
( sum(a,c,multiply(add(a,c),a))
| ~ spl0_148 ),
inference(resolution,[],[f15099,f8214]) ).
fof(f8214,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X1,X2,multiply(add(X1,X0),X1)) ),
inference(resolution,[],[f7053,f3]) ).
fof(f7053,plain,
! [X10,X11,X12,X13] :
( ~ product(add(X10,X13),X10,X12)
| ~ product(X13,X10,X11)
| sum(X10,X11,X12) ),
inference(forward_demodulation,[],[f7052,f6155]) ).
fof(f7052,plain,
! [X10,X11,X12,X13] :
( sum(X10,X11,X12)
| ~ product(additive_inverse(add(X10,X13)),X10,X12)
| ~ product(X13,X10,X11) ),
inference(forward_demodulation,[],[f7051,f6155]) ).
fof(f7051,plain,
! [X10,X11,X12,X13] :
( ~ product(additive_inverse(X13),X10,X11)
| sum(X10,X11,X12)
| ~ product(additive_inverse(add(X10,X13)),X10,X12) ),
inference(forward_demodulation,[],[f7050,f6155]) ).
fof(f7050,plain,
! [X10,X11,X12,X13] :
( sum(additive_inverse(X10),X11,X12)
| ~ product(additive_inverse(add(X10,X13)),X10,X12)
| ~ product(additive_inverse(X13),X10,X11) ),
inference(forward_demodulation,[],[f6396,f6155]) ).
fof(f6396,plain,
! [X10,X11,X12,X13] :
( ~ product(additive_inverse(add(X10,X13)),additive_inverse(X10),X12)
| sum(additive_inverse(X10),X11,X12)
| ~ product(additive_inverse(X13),X10,X11) ),
inference(backward_demodulation,[],[f1746,f6155]) ).
fof(f1746,plain,
! [X10,X11,X12,X13] :
( ~ product(additive_inverse(add(X10,X13)),additive_inverse(X10),X12)
| ~ product(additive_inverse(X13),additive_inverse(X10),X11)
| sum(additive_inverse(X10),X11,X12) ),
inference(resolution,[],[f244,f24]) ).
fof(f244,plain,
! [X28,X29,X26,X27,X24,X25] :
( ~ product(additive_inverse(X29),X28,X24)
| sum(X24,X25,X26)
| ~ product(additive_inverse(X27),X28,X25)
| ~ product(additive_inverse(add(X29,X27)),X28,X26) ),
inference(resolution,[],[f22,f14]) ).
fof(f15214,plain,
( spl0_159
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15209,f15097,f15211]) ).
fof(f15209,plain,
( product(additive_identity,a,add(c,multiply(c,a)))
| ~ spl0_148 ),
inference(forward_demodulation,[],[f15156,f518]) ).
fof(f15156,plain,
( product(additive_identity,a,add(multiply(c,a),c))
| ~ spl0_148 ),
inference(resolution,[],[f15099,f8095]) ).
fof(f8095,plain,
! [X10,X11,X12] :
( ~ product(X10,X11,X12)
| product(additive_identity,X11,add(multiply(X10,X11),X12)) ),
inference(resolution,[],[f6233,f4]) ).
fof(f15207,plain,
( spl0_158
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15149,f15097,f15204]) ).
fof(f15204,plain,
( spl0_158
<=> sum(additive_identity,c,multiply(c,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f15149,plain,
( sum(additive_identity,c,multiply(c,a))
| ~ spl0_148 ),
inference(resolution,[],[f15099,f5314]) ).
fof(f15202,plain,
( spl0_157
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15153,f15097,f15199]) ).
fof(f15199,plain,
( spl0_157
<=> sum(c,multiply(c,a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f15153,plain,
( sum(c,multiply(c,a),additive_identity)
| ~ spl0_148 ),
inference(resolution,[],[f15099,f6730]) ).
fof(f6730,plain,
! [X6,X4,X5] :
( ~ product(X5,X6,X4)
| sum(X4,multiply(X5,X6),additive_identity) ),
inference(backward_demodulation,[],[f5706,f6155]) ).
fof(f5706,plain,
! [X6,X4,X5] :
( sum(X4,multiply(X5,additive_inverse(X6)),additive_identity)
| ~ product(X5,X6,X4) ),
inference(resolution,[],[f1489,f3]) ).
fof(f1489,plain,
! [X10,X8,X9,X7] :
( ~ product(X7,additive_inverse(X8),X9)
| sum(X10,X9,additive_identity)
| ~ product(X7,X8,X10) ),
inference(forward_demodulation,[],[f1486,f432]) ).
fof(f1486,plain,
! [X10,X8,X9,X7] :
( sum(X10,X9,multiply(X7,additive_identity))
| ~ product(X7,additive_inverse(X8),X9)
| ~ product(X7,X8,X10) ),
inference(resolution,[],[f69,f3]) ).
fof(f69,plain,
! [X18,X19,X16,X17,X20] :
( ~ product(X16,additive_identity,X20)
| ~ product(X16,additive_inverse(X17),X19)
| sum(X18,X19,X20)
| ~ product(X16,X17,X18) ),
inference(resolution,[],[f6,f12]) ).
fof(f15196,plain,
( spl0_156
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15150,f15097,f15193]) ).
fof(f15193,plain,
( spl0_156
<=> sum(c,additive_identity,multiply(c,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f15150,plain,
( sum(c,additive_identity,multiply(c,a))
| ~ spl0_148 ),
inference(resolution,[],[f15099,f5352]) ).
fof(f5352,plain,
! [X2,X3,X4] :
( ~ product(X2,X3,X4)
| sum(X4,additive_identity,multiply(X2,X3)) ),
inference(resolution,[],[f1246,f3]) ).
fof(f1246,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| sum(X2,additive_identity,X3) ),
inference(resolution,[],[f51,f20]) ).
fof(f51,plain,
! [X8,X6,X9,X7,X5] :
( ~ product(X5,additive_identity,X8)
| ~ product(X5,X6,X7)
| ~ product(X5,X6,X9)
| sum(X7,X8,X9) ),
inference(resolution,[],[f12,f2]) ).
fof(f15191,plain,
( spl0_155
| ~ spl0_29
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15119,f15097,f675,f15188]) ).
fof(f15188,plain,
( spl0_155
<=> product(multiply(c,a),multiply(b,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f675,plain,
( spl0_29
<=> product(multiply(c,a),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f15119,plain,
( product(multiply(c,a),multiply(b,a),c)
| ~ spl0_29
| ~ spl0_148 ),
inference(resolution,[],[f15099,f1187]) ).
fof(f1187,plain,
( ! [X18,X19] :
( ~ product(c,X18,X19)
| product(multiply(c,a),multiply(b,X18),X19) )
| ~ spl0_29 ),
inference(resolution,[],[f71,f677]) ).
fof(f677,plain,
( product(multiply(c,a),b,c)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f15186,plain,
( spl0_154
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15159,f15097,f15183]) ).
fof(f15183,plain,
( spl0_154
<=> product(c,additive_identity,add(c,multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f15159,plain,
( product(c,additive_identity,add(c,multiply(c,a)))
| ~ spl0_148 ),
inference(resolution,[],[f15099,f8245]) ).
fof(f8245,plain,
! [X2,X3,X4] :
( ~ product(X2,X4,X3)
| product(X2,additive_identity,add(X3,multiply(X2,X4))) ),
inference(resolution,[],[f7109,f3]) ).
fof(f7109,plain,
! [X21,X22,X23,X20] :
( ~ product(X20,X21,X22)
| product(X20,additive_identity,add(X23,X22))
| ~ product(X20,X21,X23) ),
inference(forward_demodulation,[],[f7108,f6155]) ).
fof(f7108,plain,
! [X21,X22,X23,X20] :
( product(X20,additive_identity,additive_inverse(add(X23,X22)))
| ~ product(X20,X21,X22)
| ~ product(X20,X21,X23) ),
inference(forward_demodulation,[],[f7107,f6155]) ).
fof(f7107,plain,
! [X21,X22,X23,X20] :
( ~ product(X20,X21,additive_inverse(X23))
| product(X20,additive_identity,additive_inverse(add(X23,X22)))
| ~ product(X20,X21,X22) ),
inference(forward_demodulation,[],[f6239,f6155]) ).
fof(f6239,plain,
! [X21,X22,X23,X20] :
( ~ product(X20,X21,additive_inverse(X22))
| product(X20,additive_identity,additive_inverse(add(X23,X22)))
| ~ product(X20,X21,additive_inverse(X23)) ),
inference(backward_demodulation,[],[f1361,f6155]) ).
fof(f1361,plain,
! [X21,X22,X23,X20] :
( ~ product(X20,X21,additive_inverse(X22))
| ~ product(X20,additive_inverse(X21),additive_inverse(X23))
| product(X20,additive_identity,additive_inverse(add(X23,X22))) ),
inference(resolution,[],[f60,f22]) ).
fof(f60,plain,
! [X10,X11,X14,X12,X13] :
( ~ sum(X13,X12,X14)
| ~ product(X10,X11,X12)
| product(X10,additive_identity,X14)
| ~ product(X10,additive_inverse(X11),X13) ),
inference(resolution,[],[f5,f13]) ).
fof(f13,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ sum(X1,X3,X8)
| ~ product(X0,X3,X7)
| ~ product(X0,X1,X6)
| product(X0,X8,X9)
| ~ sum(X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f15181,plain,
( spl0_153
| ~ spl0_2
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15123,f15097,f33,f15178]) ).
fof(f15123,plain,
( product(a,multiply(b,a),c)
| ~ spl0_2
| ~ spl0_148 ),
inference(resolution,[],[f15099,f1191]) ).
fof(f1191,plain,
( ! [X28,X27] :
( ~ product(c,X27,X28)
| product(a,multiply(b,X27),X28) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f35]) ).
fof(f15176,plain,
( spl0_152
| ~ spl0_7
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15121,f15097,f142,f15173]) ).
fof(f15121,plain,
( product(c,multiply(b,a),c)
| ~ spl0_7
| ~ spl0_148 ),
inference(resolution,[],[f15099,f1195]) ).
fof(f1195,plain,
( ! [X36,X35] :
( ~ product(c,X35,X36)
| product(c,multiply(b,X35),X36) )
| ~ spl0_7 ),
inference(resolution,[],[f71,f144]) ).
fof(f15170,plain,
( spl0_151
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15137,f15097,f15167]) ).
fof(f15137,plain,
( c = multiply(c,a)
| ~ spl0_148 ),
inference(resolution,[],[f15099,f267]) ).
fof(f15165,plain,
( spl0_150
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f15140,f15097,f15162]) ).
fof(f15162,plain,
( spl0_150
<=> product(c,multiply(c,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f15140,plain,
( product(c,multiply(c,a),c)
| ~ spl0_148 ),
inference(resolution,[],[f15099,f1181]) ).
fof(f15118,plain,
( spl0_148
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f15117,f14633,f15097]) ).
fof(f14633,plain,
( spl0_122
<=> product(c,add(a,c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f15117,plain,
( product(c,a,c)
| ~ spl0_122 ),
inference(forward_demodulation,[],[f15035,f7105]) ).
fof(f15035,plain,
( product(c,add(c,add(a,c)),c)
| ~ spl0_122 ),
inference(resolution,[],[f14635,f8270]) ).
fof(f8270,plain,
! [X0,X1] :
( ~ product(X0,X1,additive_identity)
| product(X0,add(X0,X1),X0) ),
inference(resolution,[],[f7146,f2]) ).
fof(f7146,plain,
! [X6,X7,X4,X5] :
( ~ sum(X4,X7,X6)
| ~ product(X4,X5,X7)
| product(X4,add(X4,X5),X6) ),
inference(forward_demodulation,[],[f7145,f6155]) ).
fof(f7145,plain,
! [X6,X7,X4,X5] :
( product(X4,add(X4,X5),X6)
| ~ product(additive_inverse(X4),X5,X7)
| ~ sum(X4,X7,X6) ),
inference(forward_demodulation,[],[f7144,f6155]) ).
fof(f7144,plain,
! [X6,X7,X4,X5] :
( ~ product(additive_inverse(X4),additive_inverse(X5),X7)
| ~ sum(X4,X7,X6)
| product(X4,add(X4,X5),X6) ),
inference(forward_demodulation,[],[f7143,f6155]) ).
fof(f7143,plain,
! [X6,X7,X4,X5] :
( ~ sum(X4,X7,X6)
| product(X4,additive_inverse(add(X4,X5)),X6)
| ~ product(additive_inverse(X4),additive_inverse(X5),X7) ),
inference(forward_demodulation,[],[f6385,f6155]) ).
fof(f6385,plain,
! [X6,X7,X4,X5] :
( ~ sum(additive_inverse(X4),X7,X6)
| ~ product(additive_inverse(X4),additive_inverse(X5),X7)
| product(X4,additive_inverse(add(X4,X5)),X6) ),
inference(backward_demodulation,[],[f1729,f6155]) ).
fof(f1729,plain,
! [X6,X7,X4,X5] :
( product(additive_inverse(X4),additive_inverse(add(X4,X5)),X6)
| ~ sum(additive_inverse(X4),X7,X6)
| ~ product(additive_inverse(X4),additive_inverse(X5),X7) ),
inference(resolution,[],[f243,f24]) ).
fof(f243,plain,
! [X21,X18,X19,X22,X23,X20] :
( ~ product(X18,additive_inverse(X21),X22)
| product(X18,additive_inverse(add(X21,X19)),X23)
| ~ sum(X22,X20,X23)
| ~ product(X18,additive_inverse(X19),X20) ),
inference(resolution,[],[f22,f13]) ).
fof(f14635,plain,
( product(c,add(a,c),additive_identity)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f14633]) ).
fof(f15106,plain,
( spl0_149
| ~ spl0_29
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f15019,f14633,f675,f15103]) ).
fof(f15103,plain,
( spl0_149
<=> product(multiply(c,a),multiply(b,add(a,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f15019,plain,
( product(multiply(c,a),multiply(b,add(a,c)),additive_identity)
| ~ spl0_29
| ~ spl0_122 ),
inference(resolution,[],[f14635,f1187]) ).
fof(f15100,plain,
( spl0_148
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f15095,f14633,f15097]) ).
fof(f15095,plain,
( product(c,a,c)
| ~ spl0_122 ),
inference(forward_demodulation,[],[f15094,f7105]) ).
fof(f15094,plain,
( product(c,add(c,add(a,c)),c)
| ~ spl0_122 ),
inference(forward_demodulation,[],[f15069,f395]) ).
fof(f15069,plain,
( product(c,add(c,add(a,c)),add(c,additive_identity))
| ~ spl0_122 ),
inference(resolution,[],[f14635,f8278]) ).
fof(f8278,plain,
! [X21,X22,X23] :
( ~ product(X21,X22,X23)
| product(X21,add(X21,X22),add(X21,X23)) ),
inference(resolution,[],[f7146,f4]) ).
fof(f15080,plain,
( spl0_147
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f15075,f14633,f15077]) ).
fof(f15077,plain,
( spl0_147
<=> sum(add(a,c),additive_identity,multiply(a,add(a,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f15075,plain,
( sum(add(a,c),additive_identity,multiply(a,add(a,c)))
| ~ spl0_122 ),
inference(forward_demodulation,[],[f15074,f7105]) ).
fof(f15074,plain,
( sum(add(a,c),additive_identity,multiply(add(c,add(a,c)),add(a,c)))
| ~ spl0_122 ),
inference(forward_demodulation,[],[f15067,f518]) ).
fof(f15067,plain,
( sum(add(a,c),additive_identity,multiply(add(add(a,c),c),add(a,c)))
| ~ spl0_122 ),
inference(resolution,[],[f14635,f8214]) ).
fof(f15009,plain,
( spl0_145
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14904,f14853,f14999]) ).
fof(f14999,plain,
( spl0_145
<=> sum(additive_identity,additive_identity,multiply(c,add(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f14853,plain,
( spl0_131
<=> product(c,add(b,c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f14904,plain,
( sum(additive_identity,additive_identity,multiply(c,add(b,c)))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f5352]) ).
fof(f14855,plain,
( product(c,add(b,c),additive_identity)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f14853]) ).
fof(f15007,plain,
( spl0_146
| ~ spl0_28
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14865,f14853,f669,f15004]) ).
fof(f15004,plain,
( spl0_146
<=> product(multiply(c,a),multiply(c,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f14865,plain,
( product(multiply(c,a),multiply(c,add(b,c)),additive_identity)
| ~ spl0_28
| ~ spl0_131 ),
inference(resolution,[],[f14855,f1186]) ).
fof(f15002,plain,
( spl0_145
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14903,f14853,f14999]) ).
fof(f14903,plain,
( sum(additive_identity,additive_identity,multiply(c,add(b,c)))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f5314]) ).
fof(f14997,plain,
( spl0_144
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14992,f14853,f14994]) ).
fof(f14994,plain,
( spl0_144
<=> product(c,additive_identity,multiply(c,add(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f14992,plain,
( product(c,additive_identity,multiply(c,add(b,c)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14913,f394]) ).
fof(f14913,plain,
( product(c,additive_identity,add(additive_identity,multiply(c,add(b,c))))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f8245]) ).
fof(f14991,plain,
( spl0_143
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14894,f14853,f14988]) ).
fof(f14988,plain,
( spl0_143
<=> product(c,multiply(c,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f14894,plain,
( product(c,multiply(c,add(b,c)),additive_identity)
| ~ spl0_131 ),
inference(resolution,[],[f14855,f1181]) ).
fof(f14986,plain,
( spl0_142
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14985,f14853,f14980]) ).
fof(f14980,plain,
( spl0_142
<=> product(additive_identity,add(b,c),multiply(c,add(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f14985,plain,
( product(additive_identity,add(b,c),multiply(c,add(b,c)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14910,f395]) ).
fof(f14910,plain,
( product(additive_identity,add(b,c),add(multiply(c,add(b,c)),additive_identity))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f8095]) ).
fof(f14983,plain,
( spl0_142
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14978,f14853,f14980]) ).
fof(f14978,plain,
( product(additive_identity,add(b,c),multiply(c,add(b,c)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14911,f394]) ).
fof(f14911,plain,
( product(additive_identity,add(b,c),add(additive_identity,multiply(c,add(b,c))))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f8096]) ).
fof(f14977,plain,
( spl0_141
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14907,f14853,f14974]) ).
fof(f14974,plain,
( spl0_141
<=> sum(additive_identity,multiply(c,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f14907,plain,
( sum(additive_identity,multiply(c,add(b,c)),additive_identity)
| ~ spl0_131 ),
inference(resolution,[],[f14855,f6730]) ).
fof(f14972,plain,
( spl0_140
| ~ spl0_2
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14868,f14853,f33,f14969]) ).
fof(f14969,plain,
( spl0_140
<=> product(a,multiply(b,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f14868,plain,
( product(a,multiply(b,add(b,c)),additive_identity)
| ~ spl0_2
| ~ spl0_131 ),
inference(resolution,[],[f14855,f1191]) ).
fof(f14967,plain,
( spl0_139
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14891,f14853,f14964]) ).
fof(f14891,plain,
( additive_identity = multiply(c,add(b,c))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f267]) ).
fof(f14957,plain,
( spl0_138
| ~ spl0_7
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14866,f14853,f142,f14954]) ).
fof(f14954,plain,
( spl0_138
<=> product(c,multiply(b,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f14866,plain,
( product(c,multiply(b,add(b,c)),additive_identity)
| ~ spl0_7
| ~ spl0_131 ),
inference(resolution,[],[f14855,f1195]) ).
fof(f14943,plain,
( spl0_137
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14906,f14853,f14940]) ).
fof(f14940,plain,
( spl0_137
<=> sum(multiply(c,add(b,c)),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f14906,plain,
( sum(multiply(c,add(b,c)),additive_identity,additive_identity)
| ~ spl0_131 ),
inference(resolution,[],[f14855,f6712]) ).
fof(f14938,plain,
( spl0_136
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14933,f14853,f14935]) ).
fof(f14935,plain,
( spl0_136
<=> product(b,add(b,c),add(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f14933,plain,
( product(b,add(b,c),add(b,c))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14932,f7105]) ).
fof(f14932,plain,
( product(add(c,add(b,c)),add(b,c),add(b,c))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14881,f518]) ).
fof(f14881,plain,
( product(add(add(b,c),c),add(b,c),add(b,c))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f8391]) ).
fof(f14931,plain,
( spl0_135
| ~ spl0_29
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14864,f14853,f675,f14928]) ).
fof(f14928,plain,
( spl0_135
<=> product(multiply(c,a),multiply(b,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f14864,plain,
( product(multiply(c,a),multiply(b,add(b,c)),additive_identity)
| ~ spl0_29
| ~ spl0_131 ),
inference(resolution,[],[f14855,f1187]) ).
fof(f14926,plain,
( spl0_134
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14921,f14853,f14923]) ).
fof(f14923,plain,
( spl0_134
<=> sum(add(b,c),additive_identity,multiply(b,add(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f14921,plain,
( sum(add(b,c),additive_identity,multiply(b,add(b,c)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14920,f7105]) ).
fof(f14920,plain,
( sum(add(b,c),additive_identity,multiply(add(c,add(b,c)),add(b,c)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f14912,f518]) ).
fof(f14912,plain,
( sum(add(b,c),additive_identity,multiply(add(add(b,c),c),add(b,c)))
| ~ spl0_131 ),
inference(resolution,[],[f14855,f8214]) ).
fof(f14919,plain,
( spl0_133
| ~ spl0_5
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14867,f14853,f122,f14916]) ).
fof(f14916,plain,
( spl0_133
<=> product(a,multiply(c,add(b,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f14867,plain,
( product(a,multiply(c,add(b,c)),additive_identity)
| ~ spl0_5
| ~ spl0_131 ),
inference(resolution,[],[f14855,f1192]) ).
fof(f14863,plain,
( spl0_132
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f14858,f675,f14860]) ).
fof(f14860,plain,
( spl0_132
<=> product(multiply(c,a),add(b,multiply(c,a)),add(c,multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f14858,plain,
( product(multiply(c,a),add(b,multiply(c,a)),add(c,multiply(c,a)))
| ~ spl0_29 ),
inference(forward_demodulation,[],[f14857,f518]) ).
fof(f14857,plain,
( product(multiply(c,a),add(multiply(c,a),b),add(c,multiply(c,a)))
| ~ spl0_29 ),
inference(forward_demodulation,[],[f14758,f518]) ).
fof(f14758,plain,
( product(multiply(c,a),add(multiply(c,a),b),add(multiply(c,a),c))
| ~ spl0_29 ),
inference(resolution,[],[f8278,f677]) ).
fof(f14856,plain,
( spl0_131
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f14851,f142,f14853]) ).
fof(f14851,plain,
( product(c,add(b,c),additive_identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f14850,f518]) ).
fof(f14850,plain,
( product(c,add(c,b),additive_identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f14784,f6002]) ).
fof(f14784,plain,
( product(c,add(c,b),add(c,c))
| ~ spl0_7 ),
inference(resolution,[],[f8278,f144]) ).
fof(f14847,plain,
( spl0_130
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f14774,f122,f14844]) ).
fof(f14844,plain,
( spl0_130
<=> product(a,add(a,c),add(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f14774,plain,
( product(a,add(a,c),add(a,c))
| ~ spl0_5 ),
inference(resolution,[],[f8278,f124]) ).
fof(f14842,plain,
( spl0_129
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f14837,f8541,f14839]) ).
fof(f14839,plain,
( spl0_129
<=> product(multiply(b,c),add(a,multiply(b,c)),add(multiply(b,a),multiply(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f8541,plain,
( spl0_78
<=> product(multiply(b,c),a,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f14837,plain,
( product(multiply(b,c),add(a,multiply(b,c)),add(multiply(b,a),multiply(b,c)))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f14836,f518]) ).
fof(f14836,plain,
( product(multiply(b,c),add(multiply(b,c),a),add(multiply(b,a),multiply(b,c)))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f14771,f518]) ).
fof(f14771,plain,
( product(multiply(b,c),add(multiply(b,c),a),add(multiply(b,c),multiply(b,a)))
| ~ spl0_78 ),
inference(resolution,[],[f8278,f8543]) ).
fof(f8543,plain,
( product(multiply(b,c),a,multiply(b,a))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f8541]) ).
fof(f14832,plain,
( spl0_128
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f14775,f3379,f14829]) ).
fof(f3379,plain,
( spl0_50
<=> product(a,multiply(b,c),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f14775,plain,
( product(a,add(a,multiply(b,c)),add(a,c))
| ~ spl0_50 ),
inference(resolution,[],[f8278,f3381]) ).
fof(f3381,plain,
( product(a,multiply(b,c),c)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f3379]) ).
fof(f14827,plain,
( spl0_127
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f14822,f3399,f14824]) ).
fof(f14824,plain,
( spl0_127
<=> product(multiply(c,a),add(multiply(b,c),multiply(c,a)),add(c,multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f3399,plain,
( spl0_51
<=> product(multiply(c,a),multiply(b,c),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f14822,plain,
( product(multiply(c,a),add(multiply(b,c),multiply(c,a)),add(c,multiply(c,a)))
| ~ spl0_51 ),
inference(forward_demodulation,[],[f14821,f518]) ).
fof(f14821,plain,
( product(multiply(c,a),add(multiply(c,a),multiply(b,c)),add(c,multiply(c,a)))
| ~ spl0_51 ),
inference(forward_demodulation,[],[f14759,f518]) ).
fof(f14759,plain,
( product(multiply(c,a),add(multiply(c,a),multiply(b,c)),add(multiply(c,a),c))
| ~ spl0_51 ),
inference(resolution,[],[f8278,f3401]) ).
fof(f3401,plain,
( product(multiply(c,a),multiply(b,c),c)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f14815,plain,
( spl0_126
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f14810,f669,f14812]) ).
fof(f14812,plain,
( spl0_126
<=> product(multiply(c,a),add(c,multiply(c,a)),add(c,multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f14810,plain,
( product(multiply(c,a),add(c,multiply(c,a)),add(c,multiply(c,a)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f14757,f518]) ).
fof(f14757,plain,
( product(multiply(c,a),add(multiply(c,a),c),add(multiply(c,a),c))
| ~ spl0_28 ),
inference(resolution,[],[f8278,f671]) ).
fof(f14804,plain,
( spl0_125
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f14773,f33,f14801]) ).
fof(f14801,plain,
( spl0_125
<=> product(a,add(a,b),add(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f14773,plain,
( product(a,add(a,b),add(a,c))
| ~ spl0_2 ),
inference(resolution,[],[f8278,f35]) ).
fof(f14798,plain,
( spl0_124
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f14779,f8580,f14795]) ).
fof(f14779,plain,
( product(b,add(b,multiply(c,a)),add(b,multiply(b,a)))
| ~ spl0_81 ),
inference(resolution,[],[f8278,f8582]) ).
fof(f14790,plain,
( spl0_123
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f14785,f3538,f14787]) ).
fof(f3538,plain,
( spl0_56
<=> product(c,multiply(b,c),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f14785,plain,
( product(c,add(c,multiply(b,c)),additive_identity)
| ~ spl0_56 ),
inference(forward_demodulation,[],[f14780,f6002]) ).
fof(f14780,plain,
( product(c,add(c,multiply(b,c)),add(c,c))
| ~ spl0_56 ),
inference(resolution,[],[f8278,f3540]) ).
fof(f3540,plain,
( product(c,multiply(b,c),c)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f14636,plain,
( spl0_122
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f14591,f14477,f14633]) ).
fof(f14477,plain,
( spl0_115
<=> additive_identity = multiply(c,add(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f14591,plain,
( product(c,add(a,c),additive_identity)
| ~ spl0_115 ),
inference(superposition,[],[f3,f14479]) ).
fof(f14479,plain,
( additive_identity = multiply(c,add(a,c))
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f14477]) ).
fof(f14631,plain,
( spl0_121
| ~ spl0_2
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f14590,f14477,f33,f14628]) ).
fof(f14628,plain,
( spl0_121
<=> product(c,multiply(add(a,c),multiply(b,add(a,c))),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f14590,plain,
( product(c,multiply(add(a,c),multiply(b,add(a,c))),additive_identity)
| ~ spl0_2
| ~ spl0_115 ),
inference(superposition,[],[f9530,f14479]) ).
fof(f14624,plain,
( spl0_120
| ~ spl0_7
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f14586,f14477,f142,f14621]) ).
fof(f14621,plain,
( spl0_120
<=> product(c,multiply(b,add(a,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f14586,plain,
( product(c,multiply(b,add(a,c)),additive_identity)
| ~ spl0_7
| ~ spl0_115 ),
inference(superposition,[],[f3532,f14479]) ).
fof(f3532,plain,
( ! [X0] : product(c,multiply(b,X0),multiply(c,X0))
| ~ spl0_7 ),
inference(resolution,[],[f1195,f3]) ).
fof(f14613,plain,
( spl0_119
| ~ spl0_2
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f14584,f14477,f33,f14610]) ).
fof(f14610,plain,
( spl0_119
<=> product(a,multiply(b,add(a,c)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f14584,plain,
( product(a,multiply(b,add(a,c)),additive_identity)
| ~ spl0_2
| ~ spl0_115 ),
inference(superposition,[],[f3369,f14479]) ).
fof(f3369,plain,
( ! [X0] : product(a,multiply(b,X0),multiply(c,X0))
| ~ spl0_2 ),
inference(resolution,[],[f1191,f3]) ).
fof(f14582,plain,
( spl0_118
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f14577,f14447,f14579]) ).
fof(f14579,plain,
( spl0_118
<=> product(add(a,c),a,add(a,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f14447,plain,
( spl0_110
<=> product(add(a,c),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f14577,plain,
( product(add(a,c),a,add(a,c))
| ~ spl0_110 ),
inference(forward_demodulation,[],[f14576,f7105]) ).
fof(f14576,plain,
( product(add(a,c),add(c,add(a,c)),add(a,c))
| ~ spl0_110 ),
inference(forward_demodulation,[],[f14519,f518]) ).
fof(f14519,plain,
( product(add(a,c),add(add(a,c),c),add(a,c))
| ~ spl0_110 ),
inference(resolution,[],[f14449,f8270]) ).
fof(f14449,plain,
( product(add(a,c),c,additive_identity)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f14447]) ).
fof(f14490,plain,
( spl0_117
| ~ spl0_2
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14416,f14361,f33,f14487]) ).
fof(f14487,plain,
( spl0_117
<=> product(multiply(add(a,c),a),b,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f14361,plain,
( spl0_106
<=> additive_identity = multiply(add(a,c),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f14416,plain,
( product(multiply(add(a,c),a),b,additive_identity)
| ~ spl0_2
| ~ spl0_106 ),
inference(superposition,[],[f4637,f14363]) ).
fof(f14363,plain,
( additive_identity = multiply(add(a,c),c)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f14361]) ).
fof(f4637,plain,
( ! [X24] : product(multiply(X24,a),b,multiply(X24,c))
| ~ spl0_2 ),
inference(resolution,[],[f1157,f35]) ).
fof(f14485,plain,
( spl0_116
| ~ spl0_50
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14418,f14361,f3379,f14482]) ).
fof(f14418,plain,
( product(multiply(add(a,c),a),multiply(b,c),additive_identity)
| ~ spl0_50
| ~ spl0_106 ),
inference(superposition,[],[f4639,f14363]) ).
fof(f4639,plain,
( ! [X26] : product(multiply(X26,a),multiply(b,c),multiply(X26,c))
| ~ spl0_50 ),
inference(resolution,[],[f1157,f3381]) ).
fof(f14480,plain,
( spl0_115
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14475,f14361,f14477]) ).
fof(f14475,plain,
( additive_identity = multiply(c,add(a,c))
| ~ spl0_106 ),
inference(forward_demodulation,[],[f14474,f438]) ).
fof(f14474,plain,
( multiply(additive_identity,add(a,c)) = multiply(c,add(a,c))
| ~ spl0_106 ),
inference(forward_demodulation,[],[f14439,f432]) ).
fof(f14439,plain,
( multiply(multiply(c,additive_identity),add(a,c)) = multiply(c,add(a,c))
| ~ spl0_106 ),
inference(superposition,[],[f10417,f14363]) ).
fof(f14473,plain,
( spl0_114
| ~ spl0_29
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14415,f14361,f675,f14470]) ).
fof(f14470,plain,
( spl0_114
<=> product(multiply(add(a,c),multiply(c,a)),b,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f14415,plain,
( product(multiply(add(a,c),multiply(c,a)),b,additive_identity)
| ~ spl0_29
| ~ spl0_106 ),
inference(superposition,[],[f4631,f14363]) ).
fof(f4631,plain,
( ! [X15] : product(multiply(X15,multiply(c,a)),b,multiply(X15,c))
| ~ spl0_29 ),
inference(resolution,[],[f1157,f677]) ).
fof(f14468,plain,
( spl0_113
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14463,f14361,f14465]) ).
fof(f14465,plain,
( spl0_113
<=> product(additive_identity,add(a,c),multiply(c,add(a,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f14463,plain,
( product(additive_identity,add(a,c),multiply(c,add(a,c)))
| ~ spl0_106 ),
inference(forward_demodulation,[],[f14437,f432]) ).
fof(f14437,plain,
( product(multiply(c,additive_identity),add(a,c),multiply(c,add(a,c)))
| ~ spl0_106 ),
inference(superposition,[],[f10409,f14363]) ).
fof(f14461,plain,
( spl0_112
| ~ spl0_28
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14414,f14361,f669,f14458]) ).
fof(f14458,plain,
( spl0_112
<=> product(multiply(add(a,c),multiply(c,a)),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f14414,plain,
( product(multiply(add(a,c),multiply(c,a)),c,additive_identity)
| ~ spl0_28
| ~ spl0_106 ),
inference(superposition,[],[f4630,f14363]) ).
fof(f4630,plain,
( ! [X14] : product(multiply(X14,multiply(c,a)),c,multiply(X14,c))
| ~ spl0_28 ),
inference(resolution,[],[f1157,f671]) ).
fof(f14455,plain,
( spl0_111
| ~ spl0_5
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14417,f14361,f122,f14452]) ).
fof(f14452,plain,
( spl0_111
<=> product(multiply(add(a,c),a),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f14417,plain,
( product(multiply(add(a,c),a),c,additive_identity)
| ~ spl0_5
| ~ spl0_106 ),
inference(superposition,[],[f4638,f14363]) ).
fof(f4638,plain,
( ! [X25] : product(multiply(X25,a),c,multiply(X25,c))
| ~ spl0_5 ),
inference(resolution,[],[f1157,f124]) ).
fof(f14450,plain,
( spl0_110
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14422,f14361,f14447]) ).
fof(f14422,plain,
( product(add(a,c),c,additive_identity)
| ~ spl0_106 ),
inference(superposition,[],[f3,f14363]) ).
fof(f14444,plain,
( spl0_109
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f14438,f14361,f14441]) ).
fof(f14441,plain,
( spl0_109
<=> product(multiply(add(a,c),multiply(c,add(a,c))),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f14438,plain,
( product(multiply(add(a,c),multiply(c,add(a,c))),c,additive_identity)
| ~ spl0_106 ),
inference(superposition,[],[f10409,f14363]) ).
fof(f14385,plain,
( spl0_108
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14309,f14241,f14382]) ).
fof(f14382,plain,
( spl0_108
<=> product(additive_identity,c,multiply(add(a,c),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f14241,plain,
( spl0_93
<=> sum(c,c,multiply(add(a,c),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f14309,plain,
( product(additive_identity,c,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(resolution,[],[f14243,f7175]) ).
fof(f7175,plain,
! [X2,X3] :
( ~ sum(X2,X2,X3)
| product(additive_identity,X2,X3) ),
inference(forward_demodulation,[],[f6784,f6155]) ).
fof(f6784,plain,
! [X2,X3] :
( ~ sum(X2,X2,X3)
| product(additive_identity,additive_inverse(X2),X3) ),
inference(backward_demodulation,[],[f6064,f6155]) ).
fof(f6064,plain,
! [X2,X3] :
( product(additive_identity,additive_inverse(X2),X3)
| ~ sum(additive_inverse(X2),additive_inverse(X2),X3) ),
inference(forward_demodulation,[],[f6057,f531]) ).
fof(f531,plain,
! [X6] : multiply(X6,additive_inverse(X6)) = additive_inverse(X6),
inference(resolution,[],[f267,f307]) ).
fof(f6057,plain,
! [X2,X3] :
( product(additive_identity,additive_inverse(X2),X3)
| ~ sum(additive_inverse(X2),multiply(X2,additive_inverse(X2)),X3) ),
inference(resolution,[],[f1329,f3]) ).
fof(f1329,plain,
! [X6,X7,X5] :
( ~ product(X5,additive_inverse(X5),X7)
| ~ sum(additive_inverse(X5),X7,X6)
| product(additive_identity,additive_inverse(X5),X6) ),
inference(resolution,[],[f58,f24]) ).
fof(f14243,plain,
( sum(c,c,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f14241]) ).
fof(f14380,plain,
( spl0_106
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14379,f14241,f14361]) ).
fof(f14379,plain,
( additive_identity = multiply(add(a,c),c)
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14330,f6002]) ).
fof(f14330,plain,
( add(c,c) = multiply(add(a,c),c)
| ~ spl0_93 ),
inference(resolution,[],[f14243,f264]) ).
fof(f14377,plain,
( spl0_103
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14376,f14241,f14345]) ).
fof(f14345,plain,
( spl0_103
<=> sum(additive_identity,additive_identity,multiply(add(a,c),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f14376,plain,
( sum(additive_identity,additive_identity,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14331,f6002]) ).
fof(f14331,plain,
( sum(add(c,c),additive_identity,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(resolution,[],[f14243,f908]) ).
fof(f14373,plain,
( spl0_107
| ~ spl0_2
| ~ spl0_14
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14307,f14241,f317,f33,f14370]) ).
fof(f14370,plain,
( spl0_107
<=> product(additive_identity,b,multiply(add(a,c),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f317,plain,
( spl0_14
<=> c = multiply(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f14307,plain,
( product(additive_identity,b,multiply(add(a,c),c))
| ~ spl0_2
| ~ spl0_14
| ~ spl0_93 ),
inference(resolution,[],[f14243,f14107]) ).
fof(f14107,plain,
( ! [X0] :
( ~ sum(c,c,X0)
| product(additive_identity,b,X0) )
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f8103,f35]) ).
fof(f8103,plain,
( ! [X16,X15] :
( ~ product(a,b,X15)
| product(additive_identity,b,X16)
| ~ sum(c,X15,X16) )
| ~ spl0_14 ),
inference(superposition,[],[f6233,f319]) ).
fof(f319,plain,
( c = multiply(a,b)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f14367,plain,
( spl0_103
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14308,f14241,f14345]) ).
fof(f14308,plain,
( sum(additive_identity,additive_identity,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(resolution,[],[f14243,f5999]) ).
fof(f5999,plain,
! [X59,X60] :
( ~ sum(X59,X59,X60)
| sum(additive_identity,additive_identity,X60) ),
inference(resolution,[],[f5957,f128]) ).
fof(f14366,plain,
( spl0_106
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14365,f14241,f14361]) ).
fof(f14365,plain,
( additive_identity = multiply(add(a,c),c)
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14329,f6002]) ).
fof(f14329,plain,
( add(c,c) = multiply(add(a,c),c)
| ~ spl0_93 ),
inference(resolution,[],[f14243,f263]) ).
fof(f14364,plain,
( spl0_106
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14310,f14241,f14361]) ).
fof(f14310,plain,
( additive_identity = multiply(add(a,c),c)
| ~ spl0_93 ),
inference(resolution,[],[f14243,f5990]) ).
fof(f5990,plain,
! [X32,X33] :
( ~ sum(X32,X32,X33)
| additive_identity = X33 ),
inference(resolution,[],[f5957,f16]) ).
fof(f14359,plain,
( spl0_105
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14337,f14241,f14356]) ).
fof(f14356,plain,
( spl0_105
<=> sum(multiply(add(a,c),c),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f14337,plain,
( sum(multiply(add(a,c),c),c,c)
| ~ spl0_93 ),
inference(resolution,[],[f14243,f6219]) ).
fof(f14353,plain,
( spl0_104
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14311,f14241,f14350]) ).
fof(f14350,plain,
( spl0_104
<=> sum(additive_identity,multiply(add(a,c),c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f14311,plain,
( sum(additive_identity,multiply(add(a,c),c),additive_identity)
| ~ spl0_93 ),
inference(resolution,[],[f14243,f6214]) ).
fof(f6214,plain,
! [X6,X7] :
( ~ sum(X6,X6,X7)
| sum(additive_identity,X7,additive_identity) ),
inference(backward_demodulation,[],[f1063,f6155]) ).
fof(f1063,plain,
! [X6,X7] :
( ~ sum(additive_inverse(X6),X6,X7)
| sum(additive_identity,X7,additive_identity) ),
inference(resolution,[],[f104,f1]) ).
fof(f104,plain,
! [X14,X15,X12,X13] :
( ~ sum(X12,X14,additive_inverse(X15))
| ~ sum(X14,X15,X13)
| sum(X12,X13,additive_identity) ),
inference(resolution,[],[f7,f5]) ).
fof(f14348,plain,
( spl0_103
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14343,f14241,f14345]) ).
fof(f14343,plain,
( sum(additive_identity,additive_identity,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14332,f6002]) ).
fof(f14332,plain,
( sum(add(c,c),additive_identity,multiply(add(a,c),c))
| ~ spl0_93 ),
inference(resolution,[],[f14243,f909]) ).
fof(f14305,plain,
( spl0_102
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f14300,f3538,f14302]) ).
fof(f14300,plain,
( sum(multiply(b,c),c,multiply(add(c,multiply(b,c)),multiply(b,c)))
| ~ spl0_56 ),
inference(forward_demodulation,[],[f14233,f518]) ).
fof(f14233,plain,
( sum(multiply(b,c),c,multiply(add(multiply(b,c),c),multiply(b,c)))
| ~ spl0_56 ),
inference(resolution,[],[f8214,f3540]) ).
fof(f14296,plain,
( spl0_101
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f14213,f3399,f14293]) ).
fof(f14293,plain,
( spl0_101
<=> sum(multiply(b,c),c,multiply(add(multiply(b,c),multiply(c,a)),multiply(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f14213,plain,
( sum(multiply(b,c),c,multiply(add(multiply(b,c),multiply(c,a)),multiply(b,c)))
| ~ spl0_51 ),
inference(resolution,[],[f8214,f3401]) ).
fof(f14290,plain,
( spl0_100
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f14211,f669,f14287]) ).
fof(f14287,plain,
( spl0_100
<=> sum(c,c,multiply(add(c,multiply(c,a)),c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f14211,plain,
( sum(c,c,multiply(add(c,multiply(c,a)),c))
| ~ spl0_28 ),
inference(resolution,[],[f8214,f671]) ).
fof(f14285,plain,
( spl0_99
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f14212,f675,f14282]) ).
fof(f14282,plain,
( spl0_99
<=> sum(b,c,multiply(add(b,multiply(c,a)),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f14212,plain,
( sum(b,c,multiply(add(b,multiply(c,a)),b))
| ~ spl0_29 ),
inference(resolution,[],[f8214,f677]) ).
fof(f14279,plain,
( spl0_98
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f14225,f8541,f14276]) ).
fof(f14276,plain,
( spl0_98
<=> sum(a,multiply(b,a),multiply(add(a,multiply(b,c)),a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f14225,plain,
( sum(a,multiply(b,a),multiply(add(a,multiply(b,c)),a))
| ~ spl0_78 ),
inference(resolution,[],[f8214,f8543]) ).
fof(f14274,plain,
( spl0_97
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f14237,f142,f14271]) ).
fof(f14271,plain,
( spl0_97
<=> sum(b,c,multiply(add(b,c),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f14237,plain,
( sum(b,c,multiply(add(b,c),b))
| ~ spl0_7 ),
inference(resolution,[],[f8214,f144]) ).
fof(f14269,plain,
( spl0_96
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f14264,f3379,f14266]) ).
fof(f14264,plain,
( sum(multiply(b,c),c,multiply(add(a,multiply(b,c)),multiply(b,c)))
| ~ spl0_50 ),
inference(forward_demodulation,[],[f14228,f518]) ).
fof(f14228,plain,
( sum(multiply(b,c),c,multiply(add(multiply(b,c),a),multiply(b,c)))
| ~ spl0_50 ),
inference(resolution,[],[f8214,f3381]) ).
fof(f14262,plain,
( spl0_95
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f14257,f8580,f14259]) ).
fof(f14257,plain,
( sum(multiply(c,a),multiply(b,a),multiply(add(b,multiply(c,a)),multiply(c,a)))
| ~ spl0_81 ),
inference(forward_demodulation,[],[f14232,f518]) ).
fof(f14232,plain,
( sum(multiply(c,a),multiply(b,a),multiply(add(multiply(c,a),b),multiply(c,a)))
| ~ spl0_81 ),
inference(resolution,[],[f8214,f8582]) ).
fof(f14254,plain,
( spl0_94
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f14249,f33,f14251]) ).
fof(f14251,plain,
( spl0_94
<=> sum(b,c,multiply(add(a,b),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f14249,plain,
( sum(b,c,multiply(add(a,b),b))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14226,f518]) ).
fof(f14226,plain,
( sum(b,c,multiply(add(b,a),b))
| ~ spl0_2 ),
inference(resolution,[],[f8214,f35]) ).
fof(f14244,plain,
( spl0_93
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f14239,f122,f14241]) ).
fof(f14239,plain,
( sum(c,c,multiply(add(a,c),c))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f14227,f518]) ).
fof(f14227,plain,
( sum(c,c,multiply(add(c,a),c))
| ~ spl0_5 ),
inference(resolution,[],[f8214,f124]) ).
fof(f12687,plain,
( spl0_92
| ~ spl0_33
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f12682,f8725,f757,f12684]) ).
fof(f757,plain,
( spl0_33
<=> c = multiply(multiply(c,a),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f12682,plain,
( multiply(b,a) = multiply(multiply(b,c),multiply(c,a))
| ~ spl0_33
| ~ spl0_86 ),
inference(forward_demodulation,[],[f12610,f8727]) ).
fof(f12610,plain,
( multiply(b,multiply(c,a)) = multiply(multiply(b,c),multiply(c,a))
| ~ spl0_33 ),
inference(superposition,[],[f10417,f759]) ).
fof(f759,plain,
( c = multiply(multiply(c,a),b)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f9350,plain,
( spl0_91
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f9333,f8725,f9347]) ).
fof(f9333,plain,
( multiply(b,a) = multiply(multiply(b,a),multiply(c,a))
| ~ spl0_86 ),
inference(superposition,[],[f819,f8727]) ).
fof(f819,plain,
! [X24,X25] : multiply(multiply(X24,X25),X25) = multiply(X24,X25),
inference(resolution,[],[f576,f267]) ).
fof(f576,plain,
! [X2,X1] : product(X1,X2,multiply(multiply(X1,X2),X2)),
inference(resolution,[],[f74,f3]) ).
fof(f74,plain,
! [X6,X4,X5] :
( ~ product(X4,X5,X6)
| product(X4,X5,multiply(X6,X5)) ),
inference(resolution,[],[f42,f3]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X3)
| product(X0,X1,X2) ),
inference(resolution,[],[f10,f24]) ).
fof(f9345,plain,
( spl0_90
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f9337,f8725,f9342]) ).
fof(f9337,plain,
( product(multiply(b,a),multiply(c,a),multiply(b,a))
| ~ spl0_86 ),
inference(superposition,[],[f4624,f8727]) ).
fof(f4624,plain,
! [X0,X1] : product(multiply(X0,X1),X1,multiply(X0,X1)),
inference(resolution,[],[f1157,f24]) ).
fof(f9285,plain,
( spl0_89
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f9271,f8574,f9282]) ).
fof(f9282,plain,
( spl0_89
<=> multiply(b,a) = multiply(multiply(b,c),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f8574,plain,
( spl0_80
<=> multiply(b,a) = multiply(multiply(b,c),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f9271,plain,
( multiply(b,a) = multiply(multiply(b,c),multiply(b,a))
| ~ spl0_80 ),
inference(superposition,[],[f3157,f8576]) ).
fof(f8576,plain,
( multiply(b,a) = multiply(multiply(b,c),a)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f8574]) ).
fof(f3157,plain,
! [X32,X33] : multiply(X32,X33) = multiply(X32,multiply(X32,X33)),
inference(resolution,[],[f3099,f267]) ).
fof(f3099,plain,
! [X2,X1] : product(X1,X2,multiply(X1,multiply(X1,X2))),
inference(resolution,[],[f1156,f3]) ).
fof(f1156,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,X1,multiply(X0,X2)) ),
inference(resolution,[],[f70,f24]) ).
fof(f8739,plain,
( spl0_88
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8702,f8580,f8736]) ).
fof(f8736,plain,
( spl0_88
<=> product(b,multiply(c,a),multiply(multiply(b,a),multiply(c,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f8702,plain,
( product(b,multiply(c,a),multiply(multiply(b,a),multiply(c,a)))
| ~ spl0_81 ),
inference(resolution,[],[f8582,f74]) ).
fof(f8734,plain,
( spl0_87
| ~ spl0_2
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8729,f8580,f33,f8731]) ).
fof(f8729,plain,
( product(multiply(b,c),multiply(c,a),multiply(b,a))
| ~ spl0_2
| ~ spl0_81 ),
inference(forward_demodulation,[],[f8703,f921]) ).
fof(f921,plain,
( ! [X17] : multiply(multiply(X17,a),b) = multiply(X17,c)
| ~ spl0_2 ),
inference(resolution,[],[f618,f267]) ).
fof(f618,plain,
( ! [X0] : product(X0,c,multiply(multiply(X0,a),b))
| ~ spl0_2 ),
inference(resolution,[],[f78,f3]) ).
fof(f78,plain,
( ! [X2,X1] :
( ~ product(multiply(X1,a),b,X2)
| product(X1,c,X2) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f3]) ).
fof(f44,plain,
( ! [X10,X8,X9] :
( ~ product(X8,a,X10)
| ~ product(X10,b,X9)
| product(X8,c,X9) )
| ~ spl0_2 ),
inference(resolution,[],[f10,f35]) ).
fof(f8703,plain,
( product(multiply(multiply(b,a),b),multiply(c,a),multiply(b,a))
| ~ spl0_81 ),
inference(resolution,[],[f8582,f82]) ).
fof(f8728,plain,
( spl0_86
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8704,f8580,f8725]) ).
fof(f8704,plain,
( multiply(b,multiply(c,a)) = multiply(b,a)
| ~ spl0_81 ),
inference(resolution,[],[f8582,f267]) ).
fof(f8722,plain,
( spl0_85
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8707,f8580,f8719]) ).
fof(f8719,plain,
( spl0_85
<=> product(b,multiply(b,multiply(c,a)),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f8707,plain,
( product(b,multiply(b,multiply(c,a)),multiply(b,a))
| ~ spl0_81 ),
inference(resolution,[],[f8582,f1181]) ).
fof(f8599,plain,
( spl0_84
| ~ spl0_80
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f8594,f8585,f8574,f8596]) ).
fof(f8596,plain,
( spl0_84
<=> product(multiply(b,c),multiply(b,a),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f8585,plain,
( spl0_82
<=> product(multiply(b,c),multiply(multiply(b,c),a),multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f8594,plain,
( product(multiply(b,c),multiply(b,a),multiply(b,a))
| ~ spl0_80
| ~ spl0_82 ),
inference(backward_demodulation,[],[f8587,f8576]) ).
fof(f8587,plain,
( product(multiply(b,c),multiply(multiply(b,c),a),multiply(b,a))
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f8585]) ).
fof(f8593,plain,
( spl0_83
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f8560,f8541,f8590]) ).
fof(f8590,plain,
( spl0_83
<=> product(multiply(b,c),a,multiply(multiply(b,c),multiply(b,a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f8560,plain,
( product(multiply(b,c),a,multiply(multiply(b,c),multiply(b,a)))
| ~ spl0_78 ),
inference(resolution,[],[f8543,f1156]) ).
fof(f8588,plain,
( spl0_82
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f8562,f8541,f8585]) ).
fof(f8562,plain,
( product(multiply(b,c),multiply(multiply(b,c),a),multiply(b,a))
| ~ spl0_78 ),
inference(resolution,[],[f8543,f1181]) ).
fof(f8583,plain,
( spl0_81
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f8547,f8541,f8580]) ).
fof(f8547,plain,
( product(b,multiply(c,a),multiply(b,a))
| ~ spl0_78 ),
inference(resolution,[],[f8543,f1182]) ).
fof(f8577,plain,
( spl0_80
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f8559,f8541,f8574]) ).
fof(f8559,plain,
( multiply(b,a) = multiply(multiply(b,c),a)
| ~ spl0_78 ),
inference(resolution,[],[f8543,f267]) ).
fof(f8572,plain,
( spl0_79
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f8558,f8541,f8569]) ).
fof(f8569,plain,
( spl0_79
<=> product(multiply(multiply(b,a),multiply(b,c)),a,multiply(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f8558,plain,
( product(multiply(multiply(b,a),multiply(b,c)),a,multiply(b,a))
| ~ spl0_78 ),
inference(resolution,[],[f8543,f82]) ).
fof(f8544,plain,
( spl0_78
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8530,f33,f8541]) ).
fof(f8530,plain,
( product(multiply(b,c),a,multiply(b,a))
| ~ spl0_2 ),
inference(superposition,[],[f643,f921]) ).
fof(f5950,plain,
( spl0_77
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f5938,f3544,f5947]) ).
fof(f5947,plain,
( spl0_77
<=> product(c,multiply(b,additive_inverse(c)),multiply(additive_inverse(c),multiply(b,additive_inverse(c)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f3544,plain,
( spl0_57
<=> product(c,multiply(b,additive_inverse(c)),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f5938,plain,
( product(c,multiply(b,additive_inverse(c)),multiply(additive_inverse(c),multiply(b,additive_inverse(c))))
| ~ spl0_57 ),
inference(resolution,[],[f3546,f74]) ).
fof(f3546,plain,
( product(c,multiply(b,additive_inverse(c)),additive_inverse(c))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f3544]) ).
fof(f5311,plain,
( spl0_76
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f5297,f3399,f5308]) ).
fof(f5308,plain,
( spl0_76
<=> product(multiply(c,a),multiply(multiply(c,a),multiply(b,c)),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f5297,plain,
( product(multiply(c,a),multiply(multiply(c,a),multiply(b,c)),c)
| ~ spl0_51 ),
inference(resolution,[],[f3401,f1181]) ).
fof(f5306,plain,
( spl0_75
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f5294,f3399,f5303]) ).
fof(f5303,plain,
( spl0_75
<=> c = multiply(multiply(c,a),multiply(b,c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f5294,plain,
( c = multiply(multiply(c,a),multiply(b,c))
| ~ spl0_51 ),
inference(resolution,[],[f3401,f267]) ).
fof(f5282,plain,
( spl0_74
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f5265,f3373,f5279]) ).
fof(f5279,plain,
( spl0_74
<=> product(a,multiply(b,additive_inverse(c)),multiply(additive_inverse(c),multiply(b,additive_inverse(c)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f3373,plain,
( spl0_49
<=> product(a,multiply(b,additive_inverse(c)),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f5265,plain,
( product(a,multiply(b,additive_inverse(c)),multiply(additive_inverse(c),multiply(b,additive_inverse(c))))
| ~ spl0_49 ),
inference(resolution,[],[f3375,f74]) ).
fof(f3375,plain,
( product(a,multiply(b,additive_inverse(c)),additive_inverse(c))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f3373]) ).
fof(f5276,plain,
( spl0_73
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f5266,f3373,f5273]) ).
fof(f5273,plain,
( spl0_73
<=> product(multiply(additive_inverse(c),a),multiply(b,additive_inverse(c)),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f5266,plain,
( product(multiply(additive_inverse(c),a),multiply(b,additive_inverse(c)),additive_inverse(c))
| ~ spl0_49 ),
inference(resolution,[],[f3375,f82]) ).
fof(f5019,plain,
( spl0_72
| ~ spl0_5
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f5007,f1016,f122,f5016]) ).
fof(f5016,plain,
( spl0_72
<=> product(multiply(multiply(c,additive_inverse(a)),a),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1016,plain,
( spl0_38
<=> c = multiply(multiply(c,additive_inverse(a)),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f5007,plain,
( product(multiply(multiply(c,additive_inverse(a)),a),c,c)
| ~ spl0_5
| ~ spl0_38 ),
inference(superposition,[],[f4638,f1018]) ).
fof(f1018,plain,
( c = multiply(multiply(c,additive_inverse(a)),c)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f4957,plain,
( spl0_71
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4943,f4926,f4954]) ).
fof(f4954,plain,
( spl0_71
<=> c = multiply(multiply(additive_inverse(c),a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f4926,plain,
( spl0_69
<=> product(multiply(additive_inverse(c),a),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f4943,plain,
( c = multiply(multiply(additive_inverse(c),a),c)
| ~ spl0_69 ),
inference(resolution,[],[f4928,f267]) ).
fof(f4928,plain,
( product(multiply(additive_inverse(c),a),c,c)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f4926]) ).
fof(f4952,plain,
( spl0_70
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4942,f4926,f4949]) ).
fof(f4949,plain,
( spl0_70
<=> product(multiply(c,multiply(additive_inverse(c),a)),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f4942,plain,
( product(multiply(c,multiply(additive_inverse(c),a)),c,c)
| ~ spl0_69 ),
inference(resolution,[],[f4928,f82]) ).
fof(f4929,plain,
( spl0_69
| ~ spl0_2
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4924,f4888,f33,f4926]) ).
fof(f4888,plain,
( spl0_66
<=> product(multiply(additive_inverse(c),a),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f4924,plain,
( product(multiply(additive_inverse(c),a),c,c)
| ~ spl0_2
| ~ spl0_66 ),
inference(forward_demodulation,[],[f4923,f550]) ).
fof(f550,plain,
! [X0] : multiply(additive_inverse(X0),X0) = X0,
inference(resolution,[],[f482,f267]) ).
fof(f482,plain,
! [X12] : product(additive_inverse(X12),X12,X12),
inference(superposition,[],[f307,f391]) ).
fof(f4923,plain,
( product(multiply(additive_inverse(c),a),multiply(additive_inverse(c),c),c)
| ~ spl0_2
| ~ spl0_66 ),
inference(forward_demodulation,[],[f4909,f921]) ).
fof(f4909,plain,
( product(multiply(additive_inverse(c),a),multiply(multiply(additive_inverse(c),a),b),c)
| ~ spl0_66 ),
inference(resolution,[],[f4890,f1181]) ).
fof(f4890,plain,
( product(multiply(additive_inverse(c),a),b,c)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f4888]) ).
fof(f4920,plain,
( spl0_68
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4905,f4888,f4917]) ).
fof(f4917,plain,
( spl0_68
<=> product(multiply(c,multiply(additive_inverse(c),a)),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f4905,plain,
( product(multiply(c,multiply(additive_inverse(c),a)),b,c)
| ~ spl0_66 ),
inference(resolution,[],[f4890,f82]) ).
fof(f4915,plain,
( spl0_67
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f4906,f4888,f4912]) ).
fof(f4912,plain,
( spl0_67
<=> c = multiply(multiply(additive_inverse(c),a),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f4906,plain,
( c = multiply(multiply(additive_inverse(c),a),b)
| ~ spl0_66 ),
inference(resolution,[],[f4890,f267]) ).
fof(f4891,plain,
( spl0_66
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4871,f33,f4888]) ).
fof(f4871,plain,
( product(multiply(additive_inverse(c),a),b,c)
| ~ spl0_2 ),
inference(superposition,[],[f4637,f550]) ).
fof(f4877,plain,
( spl0_65
| ~ spl0_2
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f4869,f1016,f33,f4874]) ).
fof(f4874,plain,
( spl0_65
<=> product(multiply(multiply(c,additive_inverse(a)),a),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f4869,plain,
( product(multiply(multiply(c,additive_inverse(a)),a),b,c)
| ~ spl0_2
| ~ spl0_38 ),
inference(superposition,[],[f4637,f1018]) ).
fof(f4843,plain,
( spl0_64
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f4831,f4766,f4840]) ).
fof(f4840,plain,
( spl0_64
<=> product(additive_inverse(c),multiply(additive_inverse(c),additive_inverse(b)),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f4766,plain,
( spl0_62
<=> product(additive_inverse(c),additive_inverse(b),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f4831,plain,
( product(additive_inverse(c),multiply(additive_inverse(c),additive_inverse(b)),additive_inverse(c))
| ~ spl0_62 ),
inference(resolution,[],[f4768,f1181]) ).
fof(f4768,plain,
( product(additive_inverse(c),additive_inverse(b),additive_inverse(c))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f4766]) ).
fof(f4837,plain,
( spl0_63
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f4828,f4766,f4834]) ).
fof(f4834,plain,
( spl0_63
<=> additive_inverse(c) = multiply(additive_inverse(c),additive_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f4828,plain,
( additive_inverse(c) = multiply(additive_inverse(c),additive_inverse(b))
| ~ spl0_62 ),
inference(resolution,[],[f4768,f267]) ).
fof(f4777,plain,
( spl0_62
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f4746,f538,f4766]) ).
fof(f538,plain,
( spl0_21
<=> additive_inverse(c) = multiply(a,additive_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f4746,plain,
( product(additive_inverse(c),additive_inverse(b),additive_inverse(c))
| ~ spl0_21 ),
inference(superposition,[],[f4624,f540]) ).
fof(f540,plain,
( additive_inverse(c) = multiply(a,additive_inverse(b))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f4769,plain,
( spl0_62
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f4751,f629,f4766]) ).
fof(f629,plain,
( spl0_24
<=> additive_inverse(c) = multiply(c,additive_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f4751,plain,
( product(additive_inverse(c),additive_inverse(b),additive_inverse(c))
| ~ spl0_24 ),
inference(superposition,[],[f4624,f631]) ).
fof(f631,plain,
( additive_inverse(c) = multiply(c,additive_inverse(b))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f3596,plain,
( spl0_61
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f3591,f3574,f3593]) ).
fof(f3593,plain,
( spl0_61
<=> additive_inverse(c) = multiply(c,multiply(b,additive_inverse(c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f3591,plain,
( additive_inverse(c) = multiply(c,multiply(b,additive_inverse(c)))
| ~ spl0_59 ),
inference(forward_demodulation,[],[f3588,f530]) ).
fof(f3588,plain,
( additive_inverse(c) = multiply(c,additive_inverse(multiply(b,c)))
| ~ spl0_59 ),
inference(superposition,[],[f530,f3576]) ).
fof(f3583,plain,
( spl0_60
| ~ spl0_5
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f3549,f3538,f122,f3580]) ).
fof(f3580,plain,
( spl0_60
<=> product(a,multiply(c,multiply(b,c)),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f3549,plain,
( product(a,multiply(c,multiply(b,c)),c)
| ~ spl0_5
| ~ spl0_56 ),
inference(resolution,[],[f3540,f1192]) ).
fof(f3577,plain,
( spl0_59
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f3562,f3538,f3574]) ).
fof(f3562,plain,
( c = multiply(c,multiply(b,c))
| ~ spl0_56 ),
inference(resolution,[],[f3540,f267]) ).
fof(f3572,plain,
( spl0_58
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f3564,f3538,f3569]) ).
fof(f3569,plain,
( spl0_58
<=> product(c,multiply(c,multiply(b,c)),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f3564,plain,
( product(c,multiply(c,multiply(b,c)),c)
| ~ spl0_56 ),
inference(resolution,[],[f3540,f1181]) ).
fof(f3547,plain,
( spl0_57
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3534,f142,f3544]) ).
fof(f3534,plain,
( product(c,multiply(b,additive_inverse(c)),additive_inverse(c))
| ~ spl0_7 ),
inference(resolution,[],[f1195,f307]) ).
fof(f3541,plain,
( spl0_56
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3531,f142,f3538]) ).
fof(f3531,plain,
( product(c,multiply(b,c),c)
| ~ spl0_7 ),
inference(resolution,[],[f1195,f24]) ).
fof(f3439,plain,
( spl0_55
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f3434,f3414,f3436]) ).
fof(f3436,plain,
( spl0_55
<=> additive_inverse(c) = multiply(a,multiply(b,additive_inverse(c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f3434,plain,
( additive_inverse(c) = multiply(a,multiply(b,additive_inverse(c)))
| ~ spl0_54 ),
inference(forward_demodulation,[],[f3432,f530]) ).
fof(f3432,plain,
( additive_inverse(c) = multiply(a,additive_inverse(multiply(b,c)))
| ~ spl0_54 ),
inference(superposition,[],[f530,f3416]) ).
fof(f3417,plain,
( spl0_54
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f3395,f3379,f3414]) ).
fof(f3395,plain,
( c = multiply(a,multiply(b,c))
| ~ spl0_50 ),
inference(resolution,[],[f3381,f267]) ).
fof(f3412,plain,
( spl0_53
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f3393,f3379,f3409]) ).
fof(f3409,plain,
( spl0_53
<=> product(a,multiply(b,c),multiply(c,multiply(b,c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f3393,plain,
( product(a,multiply(b,c),multiply(c,multiply(b,c)))
| ~ spl0_50 ),
inference(resolution,[],[f3381,f74]) ).
fof(f3407,plain,
( spl0_52
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f3397,f3379,f3404]) ).
fof(f3404,plain,
( spl0_52
<=> product(a,multiply(a,multiply(b,c)),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f3397,plain,
( product(a,multiply(a,multiply(b,c)),c)
| ~ spl0_50 ),
inference(resolution,[],[f3381,f1181]) ).
fof(f3402,plain,
( spl0_51
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f3394,f3379,f3399]) ).
fof(f3394,plain,
( product(multiply(c,a),multiply(b,c),c)
| ~ spl0_50 ),
inference(resolution,[],[f3381,f82]) ).
fof(f3382,plain,
( spl0_50
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3368,f33,f3379]) ).
fof(f3368,plain,
( product(a,multiply(b,c),c)
| ~ spl0_2 ),
inference(resolution,[],[f1191,f24]) ).
fof(f3376,plain,
( spl0_49
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3371,f33,f3373]) ).
fof(f3371,plain,
( product(a,multiply(b,additive_inverse(c)),additive_inverse(c))
| ~ spl0_2 ),
inference(resolution,[],[f1191,f307]) ).
fof(f1482,plain,
( spl0_48
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1476,f1437,f1479]) ).
fof(f1479,plain,
( spl0_48
<=> product(multiply(additive_inverse(c),additive_inverse(a)),additive_inverse(c),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1437,plain,
( spl0_47
<=> product(additive_inverse(a),additive_inverse(c),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1476,plain,
( product(multiply(additive_inverse(c),additive_inverse(a)),additive_inverse(c),additive_inverse(c))
| ~ spl0_47 ),
inference(resolution,[],[f1439,f82]) ).
fof(f1439,plain,
( product(additive_inverse(a),additive_inverse(c),additive_inverse(c))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1440,plain,
( spl0_47
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1435,f1405,f1437]) ).
fof(f1405,plain,
( spl0_44
<=> additive_inverse(c) = multiply(additive_inverse(a),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1435,plain,
( product(additive_inverse(a),additive_inverse(c),additive_inverse(c))
| ~ spl0_44 ),
inference(superposition,[],[f3,f1407]) ).
fof(f1407,plain,
( additive_inverse(c) = multiply(additive_inverse(a),additive_inverse(c))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1423,plain,
( spl0_46
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1369,f1016,f1420]) ).
fof(f1420,plain,
( spl0_46
<=> additive_inverse(c) = multiply(multiply(c,additive_inverse(a)),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1369,plain,
( additive_inverse(c) = multiply(multiply(c,additive_inverse(a)),additive_inverse(c))
| ~ spl0_38 ),
inference(superposition,[],[f530,f1018]) ).
fof(f1417,plain,
( spl0_45
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1368,f757,f1414]) ).
fof(f1414,plain,
( spl0_45
<=> additive_inverse(c) = multiply(multiply(c,a),additive_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1368,plain,
( additive_inverse(c) = multiply(multiply(c,a),additive_inverse(b))
| ~ spl0_33 ),
inference(superposition,[],[f530,f759]) ).
fof(f1408,plain,
( spl0_44
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1371,f986,f1405]) ).
fof(f986,plain,
( spl0_35
<=> c = multiply(additive_inverse(a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1371,plain,
( additive_inverse(c) = multiply(additive_inverse(a),additive_inverse(c))
| ~ spl0_35 ),
inference(superposition,[],[f530,f988]) ).
fof(f988,plain,
( c = multiply(additive_inverse(a),c)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f1402,plain,
( spl0_43
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1367,f706,f1399]) ).
fof(f1399,plain,
( spl0_43
<=> additive_inverse(c) = multiply(multiply(c,a),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f706,plain,
( spl0_30
<=> c = multiply(multiply(c,a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1367,plain,
( additive_inverse(c) = multiply(multiply(c,a),additive_inverse(c))
| ~ spl0_30 ),
inference(superposition,[],[f530,f708]) ).
fof(f708,plain,
( c = multiply(multiply(c,a),c)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f1294,plain,
( spl0_42
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1283,f751,f1291]) ).
fof(f1291,plain,
( spl0_42
<=> product(multiply(c,multiply(c,multiply(c,a))),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f751,plain,
( spl0_32
<=> product(multiply(c,multiply(c,a)),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1283,plain,
( product(multiply(c,multiply(c,multiply(c,a))),b,c)
| ~ spl0_32 ),
inference(resolution,[],[f753,f82]) ).
fof(f753,plain,
( product(multiply(c,multiply(c,a)),b,c)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1289,plain,
( spl0_41
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1284,f751,f1286]) ).
fof(f1286,plain,
( spl0_41
<=> c = multiply(multiply(c,multiply(c,a)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1284,plain,
( c = multiply(multiply(c,multiply(c,a)),b)
| ~ spl0_32 ),
inference(resolution,[],[f753,f267]) ).
fof(f1220,plain,
( spl0_40
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1208,f712,f1217]) ).
fof(f1217,plain,
( spl0_40
<=> product(multiply(c,multiply(c,multiply(c,a))),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f712,plain,
( spl0_31
<=> product(multiply(c,multiply(c,a)),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1208,plain,
( product(multiply(c,multiply(c,multiply(c,a))),c,c)
| ~ spl0_31 ),
inference(resolution,[],[f714,f82]) ).
fof(f714,plain,
( product(multiply(c,multiply(c,a)),c,c)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1214,plain,
( spl0_39
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1209,f712,f1211]) ).
fof(f1211,plain,
( spl0_39
<=> c = multiply(multiply(c,multiply(c,a)),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1209,plain,
( c = multiply(multiply(c,multiply(c,a)),c)
| ~ spl0_31 ),
inference(resolution,[],[f714,f267]) ).
fof(f1019,plain,
( spl0_38
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1007,f993,f1016]) ).
fof(f993,plain,
( spl0_36
<=> product(multiply(c,additive_inverse(a)),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1007,plain,
( c = multiply(multiply(c,additive_inverse(a)),c)
| ~ spl0_36 ),
inference(resolution,[],[f995,f267]) ).
fof(f995,plain,
( product(multiply(c,additive_inverse(a)),c,c)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f1013,plain,
( spl0_37
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1006,f993,f1010]) ).
fof(f1010,plain,
( spl0_37
<=> product(multiply(c,multiply(c,additive_inverse(a))),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1006,plain,
( product(multiply(c,multiply(c,additive_inverse(a))),c,c)
| ~ spl0_36 ),
inference(resolution,[],[f995,f82]) ).
fof(f996,plain,
( spl0_36
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f983,f950,f993]) ).
fof(f950,plain,
( spl0_34
<=> product(additive_inverse(a),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f983,plain,
( product(multiply(c,additive_inverse(a)),c,c)
| ~ spl0_34 ),
inference(resolution,[],[f952,f82]) ).
fof(f952,plain,
( product(additive_inverse(a),c,c)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f989,plain,
( spl0_35
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f984,f950,f986]) ).
fof(f984,plain,
( c = multiply(additive_inverse(a),c)
| ~ spl0_34 ),
inference(resolution,[],[f952,f267]) ).
fof(f953,plain,
( spl0_34
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f948,f317,f33,f950]) ).
fof(f948,plain,
( product(additive_inverse(a),c,c)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f930,f319]) ).
fof(f930,plain,
( product(additive_inverse(a),c,multiply(a,b))
| ~ spl0_2 ),
inference(superposition,[],[f618,f550]) ).
fof(f760,plain,
( spl0_33
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f749,f675,f757]) ).
fof(f749,plain,
( c = multiply(multiply(c,a),b)
| ~ spl0_29 ),
inference(resolution,[],[f677,f267]) ).
fof(f754,plain,
( spl0_32
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f748,f675,f751]) ).
fof(f748,plain,
( product(multiply(c,multiply(c,a)),b,c)
| ~ spl0_29 ),
inference(resolution,[],[f677,f82]) ).
fof(f715,plain,
( spl0_31
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f702,f669,f712]) ).
fof(f702,plain,
( product(multiply(c,multiply(c,a)),c,c)
| ~ spl0_28 ),
inference(resolution,[],[f671,f82]) ).
fof(f709,plain,
( spl0_30
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f703,f669,f706]) ).
fof(f703,plain,
( c = multiply(multiply(c,a),c)
| ~ spl0_28 ),
inference(resolution,[],[f671,f267]) ).
fof(f678,plain,
( spl0_29
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f648,f33,f675]) ).
fof(f648,plain,
( product(multiply(c,a),b,c)
| ~ spl0_2 ),
inference(resolution,[],[f82,f35]) ).
fof(f672,plain,
( spl0_28
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f649,f122,f669]) ).
fof(f649,plain,
( product(multiply(c,a),c,c)
| ~ spl0_5 ),
inference(resolution,[],[f82,f124]) ).
fof(f665,plain,
( spl0_27
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f651,f446,f662]) ).
fof(f662,plain,
( spl0_27
<=> product(multiply(additive_inverse(c),a),additive_inverse(c),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f446,plain,
( spl0_19
<=> product(a,additive_inverse(c),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f651,plain,
( product(multiply(additive_inverse(c),a),additive_inverse(c),additive_inverse(c))
| ~ spl0_19 ),
inference(resolution,[],[f82,f448]) ).
fof(f448,plain,
( product(a,additive_inverse(c),additive_inverse(c))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f659,plain,
( spl0_26
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f650,f344,f656]) ).
fof(f656,plain,
( spl0_26
<=> product(multiply(additive_inverse(c),a),additive_inverse(b),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f344,plain,
( spl0_15
<=> product(a,additive_inverse(b),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f650,plain,
( product(multiply(additive_inverse(c),a),additive_inverse(b),additive_inverse(c))
| ~ spl0_15 ),
inference(resolution,[],[f82,f346]) ).
fof(f346,plain,
( product(a,additive_inverse(b),additive_inverse(c))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f637,plain,
( spl0_25
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f626,f453,f634]) ).
fof(f634,plain,
( spl0_25
<=> product(c,additive_inverse(b),multiply(additive_inverse(c),additive_inverse(b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f453,plain,
( spl0_20
<=> product(c,additive_inverse(b),additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f626,plain,
( product(c,additive_inverse(b),multiply(additive_inverse(c),additive_inverse(b)))
| ~ spl0_20 ),
inference(resolution,[],[f455,f74]) ).
fof(f455,plain,
( product(c,additive_inverse(b),additive_inverse(c))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f632,plain,
( spl0_24
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f627,f453,f629]) ).
fof(f627,plain,
( additive_inverse(c) = multiply(c,additive_inverse(b))
| ~ spl0_20 ),
inference(resolution,[],[f455,f267]) ).
fof(f616,plain,
( spl0_23
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f611,f446,f613]) ).
fof(f613,plain,
( spl0_23
<=> additive_inverse(c) = multiply(a,additive_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f611,plain,
( additive_inverse(c) = multiply(a,additive_inverse(c))
| ~ spl0_19 ),
inference(resolution,[],[f448,f267]) ).
fof(f590,plain,
( spl0_22
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f583,f344,f587]) ).
fof(f587,plain,
( spl0_22
<=> product(a,additive_inverse(b),multiply(additive_inverse(c),additive_inverse(b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f583,plain,
( product(a,additive_inverse(b),multiply(additive_inverse(c),additive_inverse(b)))
| ~ spl0_15 ),
inference(resolution,[],[f74,f346]) ).
fof(f541,plain,
( spl0_21
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f535,f344,f538]) ).
fof(f535,plain,
( additive_inverse(c) = multiply(a,additive_inverse(b))
| ~ spl0_15 ),
inference(resolution,[],[f267,f346]) ).
fof(f456,plain,
( spl0_20
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f450,f377,f453]) ).
fof(f377,plain,
( spl0_17
<=> c = multiply(c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f450,plain,
( product(c,additive_inverse(b),additive_inverse(c))
| ~ spl0_17 ),
inference(superposition,[],[f23,f379]) ).
fof(f379,plain,
( c = multiply(c,b)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f449,plain,
( spl0_19
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f443,f356,f446]) ).
fof(f356,plain,
( spl0_16
<=> c = multiply(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f443,plain,
( product(a,additive_inverse(c),additive_inverse(c))
| ~ spl0_16 ),
inference(superposition,[],[f23,f358]) ).
fof(f358,plain,
( c = multiply(a,c)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f416,plain,
spl0_18,
inference(avatar_split_clause,[],[f393,f413]) ).
fof(f413,plain,
( spl0_18
<=> additive_identity = additive_inverse(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f393,plain,
additive_identity = additive_inverse(additive_identity),
inference(resolution,[],[f257,f6]) ).
fof(f380,plain,
( spl0_17
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f375,f142,f377]) ).
fof(f375,plain,
( c = multiply(c,b)
| ~ spl0_7 ),
inference(resolution,[],[f280,f3]) ).
fof(f280,plain,
( ! [X21] :
( ~ product(c,b,X21)
| c = X21 )
| ~ spl0_7 ),
inference(resolution,[],[f17,f144]) ).
fof(f359,plain,
( spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f354,f122,f356]) ).
fof(f354,plain,
( c = multiply(a,c)
| ~ spl0_5 ),
inference(resolution,[],[f278,f3]) ).
fof(f278,plain,
( ! [X19] :
( ~ product(a,c,X19)
| c = X19 )
| ~ spl0_5 ),
inference(resolution,[],[f17,f124]) ).
fof(f347,plain,
( spl0_15
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f341,f317,f344]) ).
fof(f341,plain,
( product(a,additive_inverse(b),additive_inverse(c))
| ~ spl0_14 ),
inference(superposition,[],[f23,f319]) ).
fof(f320,plain,
( spl0_14
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f315,f33,f317]) ).
fof(f315,plain,
( c = multiply(a,b)
| ~ spl0_2 ),
inference(resolution,[],[f277,f3]) ).
fof(f277,plain,
( ! [X18] :
( ~ product(a,b,X18)
| c = X18 )
| ~ spl0_2 ),
inference(resolution,[],[f17,f35]) ).
fof(f238,plain,
( spl0_13
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f233,f142,f235]) ).
fof(f235,plain,
( spl0_13
<=> product(multiply(c,b),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f233,plain,
( product(multiply(c,b),b,c)
| ~ spl0_7 ),
inference(resolution,[],[f174,f3]) ).
fof(f174,plain,
( ! [X0] :
( ~ product(c,b,X0)
| product(X0,b,c) )
| ~ spl0_7 ),
inference(resolution,[],[f152,f24]) ).
fof(f152,plain,
( ! [X2,X3,X4] :
( ~ product(X4,X3,b)
| ~ product(c,X4,X2)
| product(X2,X3,c) )
| ~ spl0_7 ),
inference(resolution,[],[f144,f11]) ).
fof(f231,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f226,f142,f122,f228]) ).
fof(f228,plain,
( spl0_12
<=> product(multiply(a,c),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f226,plain,
( product(multiply(a,c),b,c)
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f170,f3]) ).
fof(f170,plain,
( ! [X4] :
( ~ product(a,c,X4)
| product(X4,b,c) )
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f148,f144]) ).
fof(f148,plain,
( ! [X2,X3,X4] :
( ~ product(X4,X3,c)
| product(X2,X3,c)
| ~ product(a,X4,X2) )
| ~ spl0_5 ),
inference(resolution,[],[f124,f11]) ).
fof(f223,plain,
( spl0_11
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f218,f122,f220]) ).
fof(f220,plain,
( spl0_11
<=> product(multiply(a,a),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f218,plain,
( product(multiply(a,a),c,c)
| ~ spl0_5 ),
inference(resolution,[],[f169,f3]) ).
fof(f169,plain,
( ! [X3] :
( ~ product(a,a,X3)
| product(X3,c,c) )
| ~ spl0_5 ),
inference(resolution,[],[f148,f124]) ).
fof(f210,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f205,f122,f33,f207]) ).
fof(f207,plain,
( spl0_10
<=> product(multiply(a,a),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f205,plain,
( product(multiply(a,a),b,c)
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f168,f3]) ).
fof(f168,plain,
( ! [X2] :
( ~ product(a,a,X2)
| product(X2,b,c) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f148,f35]) ).
fof(f187,plain,
( spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f177,f122,f184]) ).
fof(f184,plain,
( spl0_9
<=> product(multiply(a,c),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f177,plain,
( product(multiply(a,c),c,c)
| ~ spl0_5 ),
inference(resolution,[],[f166,f3]) ).
fof(f166,plain,
( ! [X0] :
( ~ product(a,c,X0)
| product(X0,c,c) )
| ~ spl0_5 ),
inference(resolution,[],[f148,f24]) ).
fof(f182,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f176,f122,f117,f179]) ).
fof(f179,plain,
( spl0_8
<=> product(multiply(a,b),c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f117,plain,
( spl0_4
<=> product(a,c,multiply(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f176,plain,
( product(multiply(a,b),c,c)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f166,f119]) ).
fof(f119,plain,
( product(a,c,multiply(a,b))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f145,plain,
( spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f134,f33,f142]) ).
fof(f134,plain,
( product(c,b,c)
| ~ spl0_2 ),
inference(resolution,[],[f100,f35]) ).
fof(f100,plain,
( ! [X0] :
( ~ product(a,b,X0)
| product(X0,b,c) )
| ~ spl0_2 ),
inference(resolution,[],[f48,f24]) ).
fof(f48,plain,
( ! [X10,X8,X9] :
( ~ product(X10,X9,b)
| product(X8,X9,c)
| ~ product(a,X10,X8) )
| ~ spl0_2 ),
inference(resolution,[],[f11,f35]) ).
fof(f140,plain,
( spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f135,f33,f137]) ).
fof(f137,plain,
( spl0_6
<=> product(multiply(a,b),b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f135,plain,
( product(multiply(a,b),b,c)
| ~ spl0_2 ),
inference(resolution,[],[f100,f3]) ).
fof(f125,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f114,f33,f122]) ).
fof(f114,plain,
( product(a,c,c)
| ~ spl0_2 ),
inference(resolution,[],[f77,f35]) ).
fof(f77,plain,
( ! [X0] :
( ~ product(a,b,X0)
| product(a,c,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f24]) ).
fof(f120,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f115,f33,f117]) ).
fof(f115,plain,
( product(a,c,multiply(a,b))
| ~ spl0_2 ),
inference(resolution,[],[f77,f3]) ).
fof(f41,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f26,f38]) ).
fof(f26,axiom,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
fof(f36,plain,
spl0_2,
inference(avatar_split_clause,[],[f25,f33]) ).
fof(f25,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f31,plain,
spl0_1,
inference(avatar_split_clause,[],[f18,f28]) ).
fof(f28,plain,
( spl0_1
<=> sum(additive_inverse(additive_identity),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f18,axiom,
sum(additive_inverse(additive_identity),additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG008-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 11:46:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (9015)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (9015)Refutation not found, incomplete strategy% (9015)------------------------------
% 0.19/0.49 % (9015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9023)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (9015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9015)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (9015)Memory used [KB]: 5500
% 0.19/0.51 % (9015)Time elapsed: 0.095 s
% 0.19/0.51 % (9015)Instructions burned: 9 (million)
% 0.19/0.51 % (9015)------------------------------
% 0.19/0.51 % (9015)------------------------------
% 0.19/0.51 % (9026)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (9027)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (9021)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (9042)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (9024)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (9025)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (9016)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (9020)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9040)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (9041)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (9029)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (9018)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (9017)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (9014)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (9038)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (9032)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (9019)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (9028)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (9037)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (9043)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (9031)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (9022)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (9033)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (9022)Instruction limit reached!
% 0.19/0.54 % (9022)------------------------------
% 0.19/0.54 % (9022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (9022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9022)Termination reason: Unknown
% 0.19/0.54 % (9022)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (9022)Memory used [KB]: 5373
% 0.19/0.54 % (9022)Time elapsed: 0.140 s
% 0.19/0.54 % (9022)Instructions burned: 2 (million)
% 0.19/0.54 % (9022)------------------------------
% 0.19/0.54 % (9022)------------------------------
% 0.19/0.54 % (9030)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (9035)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (9036)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.55 TRYING [1]
% 1.49/0.55 TRYING [2]
% 1.49/0.55 % (9021)Instruction limit reached!
% 1.49/0.55 % (9021)------------------------------
% 1.49/0.55 % (9021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (9021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (9021)Termination reason: Unknown
% 1.49/0.55 % (9021)Termination phase: Saturation
% 1.49/0.55
% 1.49/0.55 % (9021)Memory used [KB]: 5500
% 1.49/0.55 % (9021)Time elapsed: 0.113 s
% 1.49/0.55 % (9021)Instructions burned: 7 (million)
% 1.49/0.55 % (9021)------------------------------
% 1.49/0.55 % (9021)------------------------------
% 1.49/0.55 TRYING [3]
% 1.49/0.55 % (9044)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.49/0.56 % (9039)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.64/0.57 TRYING [4]
% 1.64/0.57 % (9020)Instruction limit reached!
% 1.64/0.57 % (9020)------------------------------
% 1.64/0.57 % (9020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (9020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (9020)Termination reason: Unknown
% 1.64/0.57 % (9020)Termination phase: Finite model building constraint generation
% 1.64/0.57
% 1.64/0.57 % (9020)Memory used [KB]: 8187
% 1.64/0.57 % (9020)Time elapsed: 0.164 s
% 1.64/0.57 % (9020)Instructions burned: 53 (million)
% 1.64/0.57 % (9020)------------------------------
% 1.64/0.57 % (9020)------------------------------
% 1.64/0.58 TRYING [4]
% 1.64/0.58 % (9023)Instruction limit reached!
% 1.64/0.58 % (9023)------------------------------
% 1.64/0.58 % (9023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (9016)Instruction limit reached!
% 1.64/0.59 % (9016)------------------------------
% 1.64/0.59 % (9016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (9016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (9016)Termination reason: Unknown
% 1.64/0.59 % (9016)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (9016)Memory used [KB]: 1279
% 1.64/0.59 % (9016)Time elapsed: 0.175 s
% 1.64/0.59 % (9016)Instructions burned: 37 (million)
% 1.64/0.59 % (9016)------------------------------
% 1.64/0.59 % (9016)------------------------------
% 1.64/0.59 TRYING [4]
% 1.64/0.60 % (9023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (9023)Termination reason: Unknown
% 1.64/0.60 % (9023)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (9023)Memory used [KB]: 1407
% 1.64/0.60 % (9023)Time elapsed: 0.173 s
% 1.64/0.60 % (9023)Instructions burned: 53 (million)
% 1.64/0.60 % (9023)------------------------------
% 1.64/0.60 % (9023)------------------------------
% 1.64/0.60 % (9017)Instruction limit reached!
% 1.64/0.60 % (9017)------------------------------
% 1.64/0.60 % (9017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (9017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (9017)Termination reason: Unknown
% 1.64/0.60 % (9017)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (9017)Memory used [KB]: 6140
% 1.64/0.60 % (9017)Time elapsed: 0.199 s
% 1.64/0.60 % (9017)Instructions burned: 52 (million)
% 1.64/0.60 % (9017)------------------------------
% 1.64/0.60 % (9017)------------------------------
% 1.64/0.61 % (9024)Instruction limit reached!
% 1.64/0.61 % (9024)------------------------------
% 1.64/0.61 % (9024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (9024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (9024)Termination reason: Unknown
% 1.64/0.61 % (9024)Termination phase: Saturation
% 1.64/0.61
% 1.64/0.61 % (9024)Memory used [KB]: 6140
% 1.64/0.61 % (9024)Time elapsed: 0.202 s
% 1.64/0.61 % (9024)Instructions burned: 50 (million)
% 1.64/0.61 % (9024)------------------------------
% 1.64/0.61 % (9024)------------------------------
% 1.64/0.61 % (9018)Instruction limit reached!
% 1.64/0.61 % (9018)------------------------------
% 1.64/0.61 % (9018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (9018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (9018)Termination reason: Unknown
% 1.64/0.61 % (9018)Termination phase: Saturation
% 1.64/0.61
% 1.64/0.61 % (9018)Memory used [KB]: 5884
% 1.64/0.61 % (9018)Time elapsed: 0.192 s
% 1.64/0.61 % (9018)Instructions burned: 51 (million)
% 1.64/0.61 % (9018)------------------------------
% 1.64/0.61 % (9018)------------------------------
% 1.64/0.62 % (9019)Instruction limit reached!
% 1.64/0.62 % (9019)------------------------------
% 1.64/0.62 % (9019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (9019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (9019)Termination reason: Unknown
% 1.64/0.62 % (9019)Termination phase: Saturation
% 1.64/0.62
% 1.64/0.62 % (9019)Memory used [KB]: 6012
% 1.64/0.62 % (9019)Time elapsed: 0.197 s
% 1.64/0.62 % (9019)Instructions burned: 48 (million)
% 1.64/0.62 % (9019)------------------------------
% 1.64/0.62 % (9019)------------------------------
% 1.64/0.62 % (9031)Instruction limit reached!
% 1.64/0.62 % (9031)------------------------------
% 1.64/0.62 % (9031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (9031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (9031)Termination reason: Unknown
% 1.64/0.62 % (9031)Termination phase: Finite model building constraint generation
% 1.64/0.62
% 1.64/0.62 % (9031)Memory used [KB]: 8955
% 1.64/0.62 % (9031)Time elapsed: 0.191 s
% 1.64/0.62 % (9031)Instructions burned: 59 (million)
% 1.64/0.62 % (9031)------------------------------
% 1.64/0.62 % (9031)------------------------------
% 2.12/0.63 % (9041)Instruction limit reached!
% 2.12/0.63 % (9041)------------------------------
% 2.12/0.63 % (9041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (9029)Instruction limit reached!
% 2.12/0.64 % (9029)------------------------------
% 2.12/0.64 % (9029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (9028)Instruction limit reached!
% 2.12/0.65 % (9028)------------------------------
% 2.12/0.65 % (9028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (9041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (9041)Termination reason: Unknown
% 2.12/0.65 % (9041)Termination phase: Saturation
% 2.12/0.65
% 2.12/0.65 % (9041)Memory used [KB]: 6140
% 2.12/0.65 % (9041)Time elapsed: 0.040 s
% 2.12/0.65 % (9041)Instructions burned: 68 (million)
% 2.12/0.65 % (9041)------------------------------
% 2.12/0.65 % (9041)------------------------------
% 2.12/0.65 % (9087)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.12/0.65 % (9028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (9028)Termination reason: Unknown
% 2.12/0.65 % (9028)Termination phase: Saturation
% 2.12/0.65
% 2.12/0.65 % (9028)Memory used [KB]: 6140
% 2.12/0.65 % (9028)Time elapsed: 0.040 s
% 2.12/0.65 % (9028)Instructions burned: 68 (million)
% 2.12/0.65 % (9028)------------------------------
% 2.12/0.65 % (9028)------------------------------
% 2.12/0.66 % (9029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (9029)Termination reason: Unknown
% 2.12/0.66 % (9029)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (9029)Memory used [KB]: 1535
% 2.12/0.66 % (9029)Time elapsed: 0.198 s
% 2.12/0.66 % (9029)Instructions burned: 76 (million)
% 2.12/0.66 % (9029)------------------------------
% 2.12/0.66 % (9029)------------------------------
% 2.32/0.66 % (9026)Instruction limit reached!
% 2.32/0.66 % (9026)------------------------------
% 2.32/0.66 % (9026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66 % (9026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66 % (9026)Termination reason: Unknown
% 2.32/0.66 % (9026)Termination phase: Saturation
% 2.32/0.66
% 2.32/0.66 % (9026)Memory used [KB]: 6652
% 2.32/0.66 % (9026)Time elapsed: 0.239 s
% 2.32/0.66 % (9026)Instructions burned: 101 (million)
% 2.32/0.66 % (9026)------------------------------
% 2.32/0.66 % (9026)------------------------------
% 2.32/0.67 % (9025)Instruction limit reached!
% 2.32/0.67 % (9025)------------------------------
% 2.32/0.67 % (9025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (9025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (9025)Termination reason: Unknown
% 2.32/0.67 % (9025)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (9025)Memory used [KB]: 6780
% 2.32/0.67 % (9025)Time elapsed: 0.251 s
% 2.32/0.67 % (9025)Instructions burned: 100 (million)
% 2.32/0.67 % (9025)------------------------------
% 2.32/0.67 % (9025)------------------------------
% 2.32/0.68 % (9033)Instruction limit reached!
% 2.32/0.68 % (9033)------------------------------
% 2.32/0.68 % (9033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (9033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (9033)Termination reason: Unknown
% 2.32/0.68 % (9033)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (9033)Memory used [KB]: 1279
% 2.32/0.68 % (9033)Time elapsed: 0.259 s
% 2.32/0.68 % (9033)Instructions burned: 100 (million)
% 2.32/0.68 % (9033)------------------------------
% 2.32/0.68 % (9033)------------------------------
% 2.32/0.68 % (9097)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.32/0.69 % (9101)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.32/0.69 % (9027)Instruction limit reached!
% 2.32/0.69 % (9027)------------------------------
% 2.32/0.69 % (9027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (9027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (9027)Termination reason: Unknown
% 2.32/0.69 % (9027)Termination phase: Saturation
% 2.32/0.69
% 2.32/0.69 % (9027)Memory used [KB]: 6140
% 2.32/0.69 % (9027)Time elapsed: 0.256 s
% 2.32/0.69 % (9027)Instructions burned: 99 (million)
% 2.32/0.69 % (9027)------------------------------
% 2.32/0.69 % (9027)------------------------------
% 2.32/0.70 % (9127)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.32/0.71 % (9115)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.32/0.71 % (9030)Instruction limit reached!
% 2.32/0.71 % (9030)------------------------------
% 2.32/0.71 % (9030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.72 % (9030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.72 % (9030)Termination reason: Unknown
% 2.32/0.72 % (9030)Termination phase: Saturation
% 2.32/0.72
% 2.32/0.72 % (9030)Memory used [KB]: 6524
% 2.32/0.72 % (9030)Time elapsed: 0.282 s
% 2.32/0.72 % (9030)Instructions burned: 99 (million)
% 2.32/0.72 % (9030)------------------------------
% 2.32/0.72 % (9030)------------------------------
% 2.32/0.72 % (9132)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.32/0.72 % (9032)Instruction limit reached!
% 2.32/0.72 % (9032)------------------------------
% 2.32/0.72 % (9032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.72 % (9032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.72 % (9032)Termination reason: Unknown
% 2.32/0.72 % (9032)Termination phase: Saturation
% 2.32/0.72
% 2.32/0.72 % (9032)Memory used [KB]: 6140
% 2.32/0.72 % (9032)Time elapsed: 0.322 s
% 2.32/0.72 % (9032)Instructions burned: 102 (million)
% 2.32/0.72 % (9032)------------------------------
% 2.32/0.72 % (9032)------------------------------
% 2.32/0.72 % (9131)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.66/0.74 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.66/0.74 % (9137)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.66/0.74 % (9140)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.66/0.74 % (9139)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.66/0.74 % (9134)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.66/0.76 TRYING [5]
% 2.79/0.77 % (9143)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.79/0.79 % (9141)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.79/0.79 % (9042)Instruction limit reached!
% 2.79/0.79 % (9042)------------------------------
% 2.79/0.79 % (9042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.80 % (9142)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.79/0.80 % (9145)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.79/0.81 % (9036)Instruction limit reached!
% 2.79/0.81 % (9036)------------------------------
% 2.79/0.81 % (9036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.81 % (9144)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.79/0.81 % (9036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.81 % (9036)Termination reason: Unknown
% 2.79/0.81 % (9036)Termination phase: Saturation
% 2.79/0.81
% 2.79/0.81 % (9036)Memory used [KB]: 7036
% 2.79/0.81 % (9036)Time elapsed: 0.390 s
% 2.79/0.81 % (9036)Instructions burned: 138 (million)
% 2.79/0.81 % (9036)------------------------------
% 2.79/0.81 % (9036)------------------------------
% 2.79/0.81 % (9042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.81 % (9042)Termination reason: Unknown
% 2.79/0.81 % (9042)Termination phase: Saturation
% 2.79/0.81
% 2.79/0.81 % (9042)Memory used [KB]: 2174
% 2.79/0.81 % (9042)Time elapsed: 0.377 s
% 2.79/0.81 % (9042)Instructions burned: 178 (million)
% 2.79/0.81 % (9042)------------------------------
% 2.79/0.81 % (9042)------------------------------
% 2.79/0.82 % (9035)Instruction limit reached!
% 2.79/0.82 % (9035)------------------------------
% 2.79/0.82 % (9035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.83 % (9101)Instruction limit reached!
% 2.79/0.83 % (9101)------------------------------
% 2.79/0.83 % (9101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.83 % (9147)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.79/0.83 % (9146)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.79/0.83 % (9101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.83 % (9101)Termination reason: Unknown
% 2.79/0.83 % (9101)Termination phase: Saturation
% 2.79/0.83
% 2.79/0.83 % (9101)Memory used [KB]: 6396
% 2.79/0.83 % (9101)Time elapsed: 0.227 s
% 2.79/0.83 % (9101)Instructions burned: 91 (million)
% 2.79/0.83 % (9101)------------------------------
% 2.79/0.83 % (9101)------------------------------
% 3.07/0.83 % (9148)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.07/0.84 % (9134)Instruction limit reached!
% 3.07/0.84 % (9134)------------------------------
% 3.07/0.84 % (9134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.84 % (9134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.84 % (9134)Termination reason: Unknown
% 3.07/0.84 % (9134)Termination phase: Saturation
% 3.07/0.84
% 3.07/0.84 % (9134)Memory used [KB]: 6140
% 3.07/0.84 % (9134)Time elapsed: 0.034 s
% 3.07/0.84 % (9134)Instructions burned: 69 (million)
% 3.07/0.84 % (9134)------------------------------
% 3.07/0.84 % (9134)------------------------------
% 3.07/0.85 % (9035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.85 % (9035)Termination reason: Unknown
% 3.07/0.85 % (9035)Termination phase: Saturation
% 3.07/0.85
% 3.07/0.85 % (9035)Memory used [KB]: 7164
% 3.07/0.85 % (9035)Time elapsed: 0.400 s
% 3.07/0.85 % (9035)Instructions burned: 177 (million)
% 3.07/0.85 % (9035)------------------------------
% 3.07/0.85 % (9035)------------------------------
% 3.07/0.86 % (9149)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.15/0.90 % (9140)Instruction limit reached!
% 3.15/0.90 % (9140)------------------------------
% 3.15/0.90 % (9140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.90 % (9140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.90 % (9140)Termination reason: Unknown
% 3.15/0.90 % (9140)Termination phase: Saturation
% 3.15/0.90
% 3.15/0.90 % (9140)Memory used [KB]: 6396
% 3.15/0.90 % (9140)Time elapsed: 0.230 s
% 3.15/0.90 % (9140)Instructions burned: 90 (million)
% 3.15/0.90 % (9140)------------------------------
% 3.15/0.90 % (9140)------------------------------
% 3.38/0.93 % (9147)Instruction limit reached!
% 3.38/0.93 % (9147)------------------------------
% 3.38/0.93 % (9147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.38/0.93 % (9147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.38/0.93 % (9147)Termination reason: Unknown
% 3.38/0.93 % (9147)Termination phase: Saturation
% 3.38/0.93
% 3.38/0.93 % (9147)Memory used [KB]: 6140
% 3.38/0.93 % (9147)Time elapsed: 0.034 s
% 3.38/0.93 % (9147)Instructions burned: 69 (million)
% 3.38/0.93 % (9147)------------------------------
% 3.38/0.93 % (9147)------------------------------
% 3.38/0.93 % (9151)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.38/0.95 % (9153)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.38/0.95 % (9150)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.52/0.98 % (9154)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/8004Mi)
% 3.52/0.98 % (9152)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.52/0.98 % (9097)Instruction limit reached!
% 3.52/0.98 % (9097)------------------------------
% 3.52/0.98 % (9097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.98 % (9097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.98 % (9097)Termination reason: Unknown
% 3.52/0.98 % (9097)Termination phase: Saturation
% 3.52/0.98
% 3.52/0.98 % (9097)Memory used [KB]: 2046
% 3.52/0.98 % (9097)Time elapsed: 0.366 s
% 3.52/0.98 % (9097)Instructions burned: 212 (million)
% 3.52/0.98 % (9097)------------------------------
% 3.52/0.98 % (9097)------------------------------
% 3.52/1.00 % (9155)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.78/1.04 % (9156)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 5.76/1.10 % (9152)Instruction limit reached!
% 5.76/1.10 % (9152)------------------------------
% 5.76/1.10 % (9152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.76/1.11 % (9157)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 5.76/1.11 % (9152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.76/1.11 % (9152)Termination reason: Unknown
% 5.76/1.11 % (9152)Termination phase: Saturation
% 5.76/1.11
% 5.76/1.11 % (9152)Memory used [KB]: 6524
% 5.76/1.11 % (9152)Time elapsed: 0.250 s
% 5.76/1.11 % (9152)Instructions burned: 90 (million)
% 5.76/1.11 % (9152)------------------------------
% 5.76/1.11 % (9152)------------------------------
% 5.76/1.12 % (9044)Instruction limit reached!
% 5.76/1.12 % (9044)------------------------------
% 5.76/1.12 % (9044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.76/1.12 % (9044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.76/1.12 % (9044)Termination reason: Unknown
% 5.76/1.12 % (9044)Termination phase: Saturation
% 5.76/1.12
% 5.76/1.12 % (9044)Memory used [KB]: 7931
% 5.76/1.12 % (9044)Time elapsed: 0.706 s
% 5.76/1.12 % (9044)Instructions burned: 355 (million)
% 5.76/1.12 % (9044)------------------------------
% 5.76/1.12 % (9044)------------------------------
% 6.46/1.17 % (9037)Instruction limit reached!
% 6.46/1.17 % (9037)------------------------------
% 6.46/1.17 % (9037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.46/1.19 % (9037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.46/1.19 % (9037)Termination reason: Unknown
% 6.46/1.19 % (9037)Termination phase: Saturation
% 6.46/1.19
% 6.46/1.19 % (9037)Memory used [KB]: 6652
% 6.46/1.19 % (9037)Time elapsed: 0.771 s
% 6.46/1.19 % (9037)Instructions burned: 498 (million)
% 6.46/1.19 % (9037)------------------------------
% 6.46/1.19 % (9037)------------------------------
% 6.46/1.20 % (9043)Instruction limit reached!
% 6.46/1.20 % (9043)------------------------------
% 6.46/1.20 % (9043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.46/1.20 % (9038)Instruction limit reached!
% 6.46/1.20 % (9038)------------------------------
% 6.46/1.20 % (9038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.46/1.20 % (9038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.46/1.20 % (9038)Termination reason: Unknown
% 6.46/1.20 % (9038)Termination phase: Saturation
% 6.46/1.20
% 6.46/1.20 % (9038)Memory used [KB]: 7291
% 6.46/1.20 % (9038)Time elapsed: 0.756 s
% 6.46/1.20 % (9038)Instructions burned: 469 (million)
% 6.46/1.20 % (9038)------------------------------
% 6.46/1.20 % (9038)------------------------------
% 6.46/1.21 % (9043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.46/1.21 % (9043)Termination reason: Unknown
% 6.46/1.21 % (9043)Termination phase: Saturation
% 6.46/1.21
% 6.46/1.21 % (9043)Memory used [KB]: 8699
% 6.46/1.21 % (9043)Time elapsed: 0.787 s
% 6.46/1.21 % (9043)Instructions burned: 439 (million)
% 6.46/1.21 % (9043)------------------------------
% 6.46/1.21 % (9043)------------------------------
% 6.46/1.21 % (9158)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.84/1.23 % (9159)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 7.03/1.26 TRYING [6]
% 7.03/1.29 % (9040)Instruction limit reached!
% 7.03/1.29 % (9040)------------------------------
% 7.03/1.29 % (9040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.29 % (9040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.29 % (9040)Termination reason: Unknown
% 7.03/1.29 % (9040)Termination phase: Saturation
% 7.03/1.29
% 7.03/1.29 % (9040)Memory used [KB]: 7675
% 7.03/1.29 % (9040)Time elapsed: 0.889 s
% 7.03/1.29 % (9040)Instructions burned: 500 (million)
% 7.03/1.29 % (9040)------------------------------
% 7.03/1.29 % (9040)------------------------------
% 7.03/1.29 % (9039)Instruction limit reached!
% 7.03/1.29 % (9039)------------------------------
% 7.03/1.29 % (9039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.29 % (9039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.29 % (9039)Termination reason: Unknown
% 7.03/1.29 % (9039)Termination phase: Saturation
% 7.03/1.29
% 7.03/1.29 % (9039)Memory used [KB]: 7291
% 7.03/1.29 % (9039)Time elapsed: 0.896 s
% 7.03/1.29 % (9039)Instructions burned: 482 (million)
% 7.03/1.29 % (9039)------------------------------
% 7.03/1.29 % (9039)------------------------------
% 7.53/1.33 % (9160)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.53/1.33 % (9087)Instruction limit reached!
% 7.53/1.33 % (9087)------------------------------
% 7.53/1.33 % (9087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.53/1.33 % (9087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.53/1.33 % (9087)Termination reason: Unknown
% 7.53/1.33 % (9087)Termination phase: Saturation
% 7.53/1.33
% 7.53/1.33 % (9087)Memory used [KB]: 8955
% 7.53/1.33 % (9087)Time elapsed: 0.755 s
% 7.53/1.33 % (9087)Instructions burned: 388 (million)
% 7.53/1.33 % (9087)------------------------------
% 7.53/1.33 % (9087)------------------------------
% 7.53/1.33 % (9162)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.53/1.35 % (9161)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.84/1.40 % (9163)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 7.84/1.42 % (9164)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 8.41/1.48 % (9165)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/32293Mi)
% 8.41/1.49 % (9161)Instruction limit reached!
% 8.41/1.49 % (9161)------------------------------
% 8.41/1.49 % (9161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.41/1.49 % (9161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.41/1.49 % (9161)Termination reason: Unknown
% 8.41/1.49 % (9161)Termination phase: Saturation
% 8.41/1.49
% 8.41/1.49 % (9161)Memory used [KB]: 6268
% 8.41/1.49 % (9161)Time elapsed: 0.258 s
% 8.41/1.49 % (9161)Instructions burned: 90 (million)
% 8.41/1.49 % (9161)------------------------------
% 8.41/1.49 % (9161)------------------------------
% 8.96/1.57 % (9132)Instruction limit reached!
% 8.96/1.57 % (9132)------------------------------
% 8.96/1.57 % (9132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.96/1.58 % (9132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.96/1.58 % (9132)Termination reason: Unknown
% 8.96/1.58 % (9132)Termination phase: Saturation
% 8.96/1.58
% 8.96/1.58 % (9132)Memory used [KB]: 7547
% 8.96/1.58 % (9132)Time elapsed: 0.940 s
% 8.96/1.58 % (9132)Instructions burned: 656 (million)
% 8.96/1.58 % (9132)------------------------------
% 8.96/1.58 % (9132)------------------------------
% 8.96/1.62 % (9166)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/37001Mi)
% 10.53/1.73 % (9167)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/10187Mi)
% 11.77/1.85 % (9131)Instruction limit reached!
% 11.77/1.85 % (9131)------------------------------
% 11.77/1.85 % (9131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.77/1.85 % (9131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.77/1.85 % (9131)Termination reason: Unknown
% 11.77/1.85 % (9131)Termination phase: Saturation
% 11.77/1.85
% 11.77/1.85 % (9131)Memory used [KB]: 9466
% 11.77/1.85 % (9131)Time elapsed: 1.188 s
% 11.77/1.85 % (9131)Instructions burned: 749 (million)
% 11.77/1.85 % (9131)------------------------------
% 11.77/1.85 % (9131)------------------------------
% 12.43/1.98 % (9168)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/29337Mi)
% 12.86/2.01 % (9115)Instruction limit reached!
% 12.86/2.01 % (9115)------------------------------
% 12.86/2.01 % (9115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.86/2.01 % (9115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.86/2.01 % (9115)Termination reason: Unknown
% 12.86/2.01 % (9115)Termination phase: Saturation
% 12.86/2.01
% 12.86/2.01 % (9115)Memory used [KB]: 9850
% 12.86/2.01 % (9115)Time elapsed: 1.354 s
% 12.86/2.01 % (9115)Instructions burned: 922 (million)
% 12.86/2.01 % (9115)------------------------------
% 12.86/2.01 % (9115)------------------------------
% 13.55/2.11 % (9127)Instruction limit reached!
% 13.55/2.11 % (9127)------------------------------
% 13.55/2.11 % (9127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.55/2.11 % (9127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.55/2.11 % (9127)Termination reason: Unknown
% 13.55/2.11 % (9127)Termination phase: Saturation
% 13.55/2.11
% 13.55/2.11 % (9127)Memory used [KB]: 10490
% 13.55/2.11 % (9127)Time elapsed: 1.451 s
% 13.55/2.11 % (9127)Instructions burned: 934 (million)
% 13.55/2.11 % (9127)------------------------------
% 13.55/2.11 % (9127)------------------------------
% 13.55/2.11 % (9169)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/10147Mi)
% 14.91/2.24 % (9170)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/38056Mi)
% 14.91/2.25 TRYING [1]
% 14.91/2.25 TRYING [2]
% 14.91/2.25 TRYING [3]
% 14.91/2.26 % (9139)Instruction limit reached!
% 14.91/2.26 % (9139)------------------------------
% 14.91/2.26 % (9139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.91/2.26 % (9139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.91/2.26 % (9139)Termination reason: Unknown
% 14.91/2.26 % (9139)Termination phase: Saturation
% 14.91/2.26
% 14.91/2.26 % (9139)Memory used [KB]: 10106
% 14.91/2.26 % (9139)Time elapsed: 1.585 s
% 14.91/2.26 % (9139)Instructions burned: 982 (million)
% 14.91/2.26 % (9139)------------------------------
% 14.91/2.26 % (9139)------------------------------
% 15.34/2.29 TRYING [4]
% 15.34/2.32 % (9137)Instruction limit reached!
% 15.34/2.32 % (9137)------------------------------
% 15.34/2.32 % (9137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.34/2.33 % (9137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.34/2.34 % (9137)Termination reason: Unknown
% 15.34/2.34 % (9137)Termination phase: Saturation
% 15.34/2.34
% 15.34/2.34 % (9137)Memory used [KB]: 12537
% 15.34/2.34 % (9137)Time elapsed: 1.646 s
% 15.34/2.34 % (9137)Instructions burned: 940 (million)
% 15.34/2.34 % (9137)------------------------------
% 15.34/2.34 % (9137)------------------------------
% 15.93/2.40 % (9171)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/33239Mi)
% 16.24/2.41 TRYING [1]
% 16.24/2.41 TRYING [2]
% 16.24/2.41 TRYING [3]
% 16.24/2.44 TRYING [5]
% 16.50/2.45 TRYING [4]
% 16.50/2.50 % (9172)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/20987Mi)
% 16.50/2.51 TRYING [1]
% 16.50/2.51 TRYING [2]
% 16.50/2.52 TRYING [3]
% 17.16/2.57 TRYING [4]
% 17.58/2.62 TRYING [5]
% 18.97/2.81 TRYING [5]
% 18.97/2.81 TRYING [7]
% 20.06/2.94 TRYING [6]
% 22.12/3.16 TRYING [6]
% 22.48/3.19 % (9141)Instruction limit reached!
% 22.48/3.19 % (9141)------------------------------
% 22.48/3.19 % (9141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.48/3.21 % (9141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.48/3.21 % (9141)Termination reason: Unknown
% 22.48/3.21 % (9141)Termination phase: Saturation
% 22.48/3.21
% 22.48/3.21 % (9141)Memory used [KB]: 21108
% 22.48/3.21 % (9141)Time elapsed: 2.515 s
% 22.48/3.21 % (9141)Instructions burned: 2016 (million)
% 22.48/3.21 % (9141)------------------------------
% 22.48/3.21 % (9141)------------------------------
% 23.06/3.30 % (9163)First to succeed.
% 23.48/3.32 % (9173)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/49917Mi)
% 23.48/3.32 TRYING [1]
% 23.48/3.32 TRYING [2]
% 23.48/3.33 % (9163)Refutation found. Thanks to Tanya!
% 23.48/3.33 % SZS status Unsatisfiable for theBenchmark
% 23.48/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 23.48/3.33 % (9163)------------------------------
% 23.48/3.33 % (9163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.48/3.33 % (9163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.48/3.33 % (9163)Termination reason: Refutation
% 23.48/3.33
% 23.48/3.33 % (9163)Memory used [KB]: 7803
% 23.48/3.33 % (9163)Time elapsed: 1.932 s
% 23.48/3.33 % (9163)Instructions burned: 1263 (million)
% 23.48/3.33 % (9163)------------------------------
% 23.48/3.33 % (9163)------------------------------
% 23.48/3.33 % (9009)Success in time 2.974 s
%------------------------------------------------------------------------------