TSTP Solution File: BOO014-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : BOO014-3 : TPTP v8.1.2. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 30 18:11:52 EDT 2023
% Result : Unsatisfiable 31.24s 4.88s
% Output : Refutation 31.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 39
% Syntax : Number of formulae : 228 ( 130 unt; 0 def)
% Number of atoms : 403 ( 51 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 358 ( 183 ~; 161 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 535 (; 535 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199328,plain,
$false,
inference(subsumption_resolution,[],[f199327,f61]) ).
fof(f61,plain,
x_inverse_times_y_inverse != sF16,
inference(definition_folding,[],[f27,f60]) ).
fof(f60,plain,
inverse(x_plus_y) = sF16,
introduced(function_definition,[]) ).
fof(f27,axiom,
x_inverse_times_y_inverse != inverse(x_plus_y),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',prove_equation) ).
fof(f199327,plain,
x_inverse_times_y_inverse = sF16,
inference(forward_demodulation,[],[f199316,f73094]) ).
fof(f73094,plain,
x_inverse_times_y_inverse = multiply(inverse(y),add(y,x_inverse_times_y_inverse)),
inference(resolution,[],[f73048,f139]) ).
fof(f139,plain,
! [X6,X4,X5] :
( ~ product(X4,X5,X6)
| multiply(X4,X5) = X6 ),
inference(resolution,[],[f22,f2]) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',closure_of_multiplication) ).
fof(f22,axiom,
! [X0,X1,X8,X7] :
( ~ product(X0,X1,X7)
| ~ product(X0,X1,X8)
| X7 = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',multiplication_is_well_defined) ).
fof(f73048,plain,
product(inverse(y),add(y,x_inverse_times_y_inverse),x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f73001,f55693]) ).
fof(f55693,plain,
add(y,inverse(x)) = add(y,x_inverse_times_y_inverse),
inference(resolution,[],[f55097,f102]) ).
fof(f102,plain,
! [X6,X4,X5] :
( ~ sum(X4,X5,X6)
| add(X4,X5) = X6 ),
inference(resolution,[],[f21,f1]) ).
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',closure_of_addition) ).
fof(f21,axiom,
! [X0,X1,X8,X7] :
( ~ sum(X0,X1,X7)
| ~ sum(X0,X1,X8)
| X7 = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',addition_is_well_defined) ).
fof(f55097,plain,
sum(y,x_inverse_times_y_inverse,add(y,inverse(x))),
inference(resolution,[],[f4656,f7821]) ).
fof(f7821,plain,
! [X38] : sP10(add(X38,inverse(x)),X38,x_inverse_times_y_inverse,inverse(y)),
inference(superposition,[],[f4577,f250]) ).
fof(f250,plain,
x_inverse_times_y_inverse = multiply(inverse(y),inverse(x)),
inference(resolution,[],[f144,f92]) ).
fof(f92,plain,
! [X2,X3] : product(X2,X3,multiply(X3,X2)),
inference(resolution,[],[f4,f2]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',commutativity_of_multiplication) ).
fof(f144,plain,
! [X15] :
( ~ product(inverse(x),inverse(y),X15)
| x_inverse_times_y_inverse = X15 ),
inference(resolution,[],[f22,f26]) ).
fof(f26,axiom,
product(inverse(x),inverse(y),x_inverse_times_y_inverse),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',x_inverse_times_y_inverse) ).
fof(f4577,plain,
! [X6,X4,X5] : sP10(add(X4,X5),X4,multiply(X6,X5),X6),
inference(resolution,[],[f893,f1]) ).
fof(f893,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP10(X8,X6,multiply(X9,X7),X9) ),
inference(resolution,[],[f48,f2]) ).
fof(f48,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| sP10(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4) )
<=> ~ sP10(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f4656,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2,inverse(X1))
| sum(X1,X2,X0) ),
inference(resolution,[],[f4652,f51]) ).
fof(f51,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP11(X4,X0,X6,X1)
| ~ sP10(X4,X0,X5,X1)
| sum(X0,X5,X6) ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f50,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X3,X4,X6)
| ~ sum(X0,X1,X3)
| sP11(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X3,X4,X6)
| ~ sum(X0,X1,X3) )
<=> ~ sP11(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f49,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X3)
| ~ product(X3,X4,X6)
| sum(X0,X5,X6)
| ~ sP10(X4,X0,X5,X1) ),
inference(general_splitting,[],[f14,f48_D]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X3)
| ~ product(X3,X4,X6)
| ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity6) ).
fof(f4652,plain,
! [X2,X3] : sP11(X2,X3,X2,inverse(X3)),
inference(forward_demodulation,[],[f4643,f153]) ).
fof(f153,plain,
! [X1] : multiply(multiplicative_identity,X1) = X1,
inference(resolution,[],[f137,f2]) ).
fof(f137,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',multiplicative_identity1) ).
fof(f4643,plain,
! [X2,X3] : sP11(X2,X3,multiply(multiplicative_identity,X2),inverse(X3)),
inference(resolution,[],[f916,f18]) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',additive_inverse2) ).
fof(f916,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP11(X9,X6,multiply(X8,X9),X7) ),
inference(resolution,[],[f50,f2]) ).
fof(f73001,plain,
product(inverse(y),add(y,inverse(x)),x_inverse_times_y_inverse),
inference(resolution,[],[f1203,f579]) ).
fof(f579,plain,
! [X15] : sP0(x_inverse_times_y_inverse,inverse(y),add(X15,inverse(x)),X15),
inference(superposition,[],[f392,f250]) ).
fof(f392,plain,
! [X6,X4,X5] : sP0(multiply(X4,X5),X4,add(X6,X5),X6),
inference(resolution,[],[f214,f1]) ).
fof(f214,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP0(multiply(X9,X7),X9,X8,X6) ),
inference(resolution,[],[f28,f2]) ).
fof(f28,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5)
| sP0(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP0(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1203,plain,
! [X46,X47,X45] :
( ~ sP0(X45,inverse(X46),X47,X46)
| product(inverse(X46),X47,X45) ),
inference(resolution,[],[f31,f351]) ).
fof(f351,plain,
! [X0,X1] : sP1(X0,inverse(X1),X0,X1),
inference(resolution,[],[f342,f5]) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',additive_identity1) ).
fof(f342,plain,
! [X16,X14,X15] :
( ~ sum(additive_identity,X14,X15)
| sP1(X14,inverse(X16),X15,X16) ),
inference(resolution,[],[f30,f19]) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',multiplicative_inverse1) ).
fof(f30,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6)
| sP1(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6) )
<=> ~ sP1(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP1(X4,X0,X6,X1)
| ~ sP0(X4,X0,X5,X1)
| product(X0,X5,X6) ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f29,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6)
| product(X0,X5,X6)
| ~ sP0(X4,X0,X5,X1) ),
inference(general_splitting,[],[f10,f28_D]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6)
| ~ sum(X1,X2,X5)
| ~ product(X0,X2,X4)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity2) ).
fof(f199316,plain,
sF16 = multiply(inverse(y),add(y,x_inverse_times_y_inverse)),
inference(resolution,[],[f199298,f139]) ).
fof(f199298,plain,
product(inverse(y),add(y,x_inverse_times_y_inverse),sF16),
inference(forward_demodulation,[],[f199297,f90708]) ).
fof(f90708,plain,
sF16 = multiply(inverse(y),sF16),
inference(resolution,[],[f90454,f140]) ).
fof(f140,plain,
! [X8,X9,X7] :
( ~ product(X7,X8,X9)
| multiply(X8,X7) = X9 ),
inference(resolution,[],[f22,f92]) ).
fof(f90454,plain,
product(sF16,inverse(y),sF16),
inference(superposition,[],[f2,f90274]) ).
fof(f90274,plain,
sF16 = multiply(sF16,inverse(y)),
inference(resolution,[],[f72429,f137]) ).
fof(f72429,plain,
product(multiplicative_identity,sF16,multiply(sF16,inverse(y))),
inference(forward_literal_rewriting,[],[f72201,f4]) ).
fof(f72201,plain,
product(sF16,multiplicative_identity,multiply(sF16,inverse(y))),
inference(superposition,[],[f1979,f72151]) ).
fof(f72151,plain,
multiplicative_identity = add(x_plus_y,inverse(y)),
inference(resolution,[],[f68764,f137]) ).
fof(f68764,plain,
product(multiplicative_identity,add(x_plus_y,inverse(y)),multiplicative_identity),
inference(forward_demodulation,[],[f68748,f261]) ).
fof(f261,plain,
! [X4,X5] : add(X4,X5) = add(X5,X4),
inference(resolution,[],[f102,f82]) ).
fof(f82,plain,
! [X2,X3] : sum(X2,X3,add(X3,X2)),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',commutativity_of_addition) ).
fof(f68748,plain,
product(multiplicative_identity,add(inverse(y),x_plus_y),multiplicative_identity),
inference(resolution,[],[f60452,f17736]) ).
fof(f17736,plain,
! [X44,X45] :
( ~ sP8(X44,inverse(X44),X45,X44)
| product(multiplicative_identity,X45,multiplicative_identity) ),
inference(forward_demodulation,[],[f17719,f23]) ).
fof(f23,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',inverse_is_self_cancelling) ).
fof(f17719,plain,
! [X44,X45] :
( ~ sP8(X44,inverse(X44),X45,inverse(inverse(X44)))
| product(multiplicative_identity,X45,multiplicative_identity) ),
inference(resolution,[],[f2011,f17]) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',additive_inverse1) ).
fof(f2011,plain,
! [X6,X7,X4,X5] :
( ~ sum(X5,X4,X7)
| ~ sP8(X4,X5,X6,inverse(X5))
| product(multiplicative_identity,X6,X7) ),
inference(resolution,[],[f47,f853]) ).
fof(f853,plain,
! [X3,X4,X5] :
( sP9(X3,X5,X4,inverse(X5))
| product(multiplicative_identity,X3,X4) ),
inference(resolution,[],[f46,f18]) ).
fof(f46,plain,
! [X3,X0,X1,X6,X4] :
( ~ sum(X0,X1,X3)
| product(X3,X4,X6)
| sP9(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ sum(X0,X1,X3)
| product(X3,X4,X6) )
<=> ~ sP9(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f47,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP9(X4,X0,X6,X1)
| ~ sP8(X5,X0,X4,X1)
| ~ sum(X0,X5,X6) ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X5,X6)
| product(X3,X4,X6)
| ~ sP8(X5,X0,X4,X1) ),
inference(general_splitting,[],[f13,f44_D]) ).
fof(f44,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| sP8(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4) )
<=> ~ sP8(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X5,X6)
| ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| product(X3,X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity5) ).
fof(f60452,plain,
! [X112] : sP8(y,X112,add(X112,x_plus_y),y),
inference(superposition,[],[f4458,f57566]) ).
fof(f57566,plain,
y = multiply(y,x_plus_y),
inference(resolution,[],[f57544,f139]) ).
fof(f57544,plain,
product(y,x_plus_y,y),
inference(forward_literal_rewriting,[],[f57543,f4]) ).
fof(f57543,plain,
product(x_plus_y,y,y),
inference(resolution,[],[f56963,f15329]) ).
fof(f15329,plain,
! [X20] :
( ~ sP14(additive_identity,y,X20,x)
| product(x_plus_y,X20,y) ),
inference(resolution,[],[f2450,f5]) ).
fof(f2450,plain,
! [X6,X4,X5] :
( ~ sum(X4,y,X6)
| ~ sP14(X4,y,X5,x)
| product(x_plus_y,X5,X6) ),
inference(resolution,[],[f59,f1172]) ).
fof(f1172,plain,
! [X21,X20] :
( sP15(X20,y,X21,x)
| product(x_plus_y,X20,X21) ),
inference(resolution,[],[f58,f25]) ).
fof(f25,axiom,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',x_plus_y) ).
fof(f58,plain,
! [X3,X0,X1,X6,X4] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6)
| sP15(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f58_D]) ).
fof(f58_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6) )
<=> ~ sP15(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).
fof(f59,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP15(X4,X0,X6,X1)
| ~ sP14(X5,X0,X4,X1)
| ~ sum(X5,X0,X6) ),
inference(general_splitting,[],[f57,f58_D]) ).
fof(f57,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X1,X0,X3)
| ~ sum(X5,X0,X6)
| product(X3,X4,X6)
| ~ sP14(X5,X0,X4,X1) ),
inference(general_splitting,[],[f15,f56_D]) ).
fof(f56,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| sP14(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4) )
<=> ~ sP14(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X1,X0,X3)
| ~ sum(X5,X0,X6)
| ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| product(X3,X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity7) ).
fof(f56963,plain,
! [X21,X20] : sP14(additive_identity,X21,X21,X20),
inference(backward_demodulation,[],[f4807,f56939]) ).
fof(f56939,plain,
! [X46] : additive_identity = multiply(X46,additive_identity),
inference(backward_demodulation,[],[f3498,f56674]) ).
fof(f56674,plain,
! [X46] : additive_identity = multiply(add(multiplicative_identity,X46),additive_identity),
inference(backward_demodulation,[],[f3413,f56655]) ).
fof(f56655,plain,
! [X45] : additive_identity = multiply(additive_identity,X45),
inference(forward_demodulation,[],[f56355,f154]) ).
fof(f154,plain,
! [X2] : multiply(X2,multiplicative_identity) = X2,
inference(resolution,[],[f137,f92]) ).
fof(f56355,plain,
! [X45] : multiply(additive_identity,multiplicative_identity) = multiply(additive_identity,X45),
inference(backward_demodulation,[],[f3451,f56221]) ).
fof(f56221,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(resolution,[],[f55090,f101]) ).
fof(f101,plain,
! [X2,X3] :
( ~ sum(X2,inverse(X2),X3)
| multiplicative_identity = X3 ),
inference(resolution,[],[f21,f18]) ).
fof(f55090,plain,
! [X22] : sum(X22,inverse(X22),add(X22,multiplicative_identity)),
inference(resolution,[],[f4656,f7799]) ).
fof(f7799,plain,
! [X8,X9] : sP10(add(X9,multiplicative_identity),X9,X8,X8),
inference(superposition,[],[f4577,f154]) ).
fof(f3451,plain,
! [X45] : multiply(additive_identity,X45) = multiply(additive_identity,add(X45,multiplicative_identity)),
inference(resolution,[],[f3282,f139]) ).
fof(f3282,plain,
! [X2] : product(additive_identity,add(X2,multiplicative_identity),multiply(additive_identity,X2)),
inference(resolution,[],[f1197,f393]) ).
fof(f393,plain,
! [X8,X9,X7] : sP0(multiply(X7,X8),X7,add(X8,X9),X9),
inference(resolution,[],[f214,f82]) ).
fof(f1197,plain,
! [X29,X30] :
( ~ sP0(X29,additive_identity,X30,multiplicative_identity)
| product(additive_identity,X30,X29) ),
inference(resolution,[],[f31,f360]) ).
fof(f360,plain,
! [X1] : sP1(X1,additive_identity,X1,multiplicative_identity),
inference(superposition,[],[f351,f123]) ).
fof(f123,plain,
additive_identity = inverse(multiplicative_identity),
inference(superposition,[],[f23,f122]) ).
fof(f122,plain,
multiplicative_identity = inverse(additive_identity),
inference(resolution,[],[f100,f17]) ).
fof(f100,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',additive_identity2) ).
fof(f3413,plain,
! [X46] : multiply(add(multiplicative_identity,X46),additive_identity) = multiply(additive_identity,X46),
inference(resolution,[],[f3281,f140]) ).
fof(f3281,plain,
! [X1] : product(additive_identity,add(multiplicative_identity,X1),multiply(additive_identity,X1)),
inference(resolution,[],[f1197,f392]) ).
fof(f3498,plain,
! [X46] : multiply(add(multiplicative_identity,X46),additive_identity) = multiply(X46,additive_identity),
inference(resolution,[],[f3286,f140]) ).
fof(f3286,plain,
! [X3] : product(additive_identity,add(multiplicative_identity,X3),multiply(X3,additive_identity)),
inference(resolution,[],[f1197,f574]) ).
fof(f574,plain,
! [X6,X4,X5] : sP0(multiply(X5,X4),X4,add(X6,X5),X6),
inference(superposition,[],[f392,f293]) ).
fof(f293,plain,
! [X4,X5] : multiply(X4,X5) = multiply(X5,X4),
inference(resolution,[],[f139,f92]) ).
fof(f4807,plain,
! [X21,X20] : sP14(multiply(X20,additive_identity),X21,X21,X20),
inference(resolution,[],[f1085,f5]) ).
fof(f1085,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP14(multiply(X9,X6),X7,X8,X9) ),
inference(resolution,[],[f56,f2]) ).
fof(f4458,plain,
! [X6,X4,X5] : sP8(multiply(X4,X5),X6,add(X6,X5),X4),
inference(resolution,[],[f821,f1]) ).
fof(f821,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP8(multiply(X9,X7),X6,X8,X9) ),
inference(resolution,[],[f44,f2]) ).
fof(f1979,plain,
! [X1] : product(sF16,add(x_plus_y,X1),multiply(sF16,X1)),
inference(resolution,[],[f1212,f392]) ).
fof(f1212,plain,
! [X66,X67] :
( ~ sP0(X66,sF16,X67,x_plus_y)
| product(sF16,X67,X66) ),
inference(resolution,[],[f31,f362]) ).
fof(f362,plain,
! [X4] : sP1(X4,sF16,X4,x_plus_y),
inference(superposition,[],[f351,f60]) ).
fof(f199297,plain,
product(inverse(y),add(y,x_inverse_times_y_inverse),multiply(inverse(y),sF16)),
inference(resolution,[],[f194516,f1214]) ).
fof(f1214,plain,
! [X72,X73,X71] :
( ~ sP0(additive_identity,X71,X72,X73)
| product(X71,X72,multiply(X71,X73)) ),
inference(resolution,[],[f31,f927]) ).
fof(f927,plain,
! [X0,X1] : sP1(additive_identity,X0,multiply(X0,X1),X1),
inference(resolution,[],[f340,f6]) ).
fof(f340,plain,
! [X8,X6,X9,X7] :
( ~ sum(multiply(X6,X7),X8,X9)
| sP1(X8,X6,X9,X7) ),
inference(resolution,[],[f30,f2]) ).
fof(f194516,plain,
sP0(additive_identity,inverse(y),add(y,x_inverse_times_y_inverse),sF16),
inference(superposition,[],[f680,f193600]) ).
fof(f193600,plain,
add(y,sF16) = add(y,x_inverse_times_y_inverse),
inference(backward_demodulation,[],[f134317,f193450]) ).
fof(f193450,plain,
add(y,x_inverse_times_y_inverse) = add(sF16,add(y,x_inverse_times_y_inverse)),
inference(superposition,[],[f69643,f192906]) ).
fof(f192906,plain,
sF16 = multiply(sF16,add(y,x_inverse_times_y_inverse)),
inference(resolution,[],[f192883,f139]) ).
fof(f192883,plain,
product(sF16,add(y,x_inverse_times_y_inverse),sF16),
inference(superposition,[],[f192842,f55693]) ).
fof(f192842,plain,
! [X0] : product(sF16,add(X0,inverse(x)),sF16),
inference(forward_literal_rewriting,[],[f192841,f4]) ).
fof(f192841,plain,
! [X0] : product(add(X0,inverse(x)),sF16,sF16),
inference(forward_demodulation,[],[f192822,f69642]) ).
fof(f69642,plain,
! [X14,X13] : add(X13,multiply(X14,X13)) = X13,
inference(resolution,[],[f69578,f102]) ).
fof(f69578,plain,
! [X2,X1] : sum(X1,multiply(X2,X1),X1),
inference(superposition,[],[f69450,f293]) ).
fof(f69450,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),X0),
inference(resolution,[],[f59699,f16109]) ).
fof(f16109,plain,
! [X2,X3] :
( ~ sP2(multiplicative_identity,X2,X3,multiplicative_identity)
| sum(X2,X3,X2) ),
inference(resolution,[],[f1486,f8]) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',multiplicative_identity2) ).
fof(f1486,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X0,X3)
| ~ sP2(X0,X1,X2,multiplicative_identity)
| sum(X1,X2,X3) ),
inference(resolution,[],[f35,f403]) ).
fof(f403,plain,
! [X3,X4,X5] :
( sP3(X4,X3,X5,multiplicative_identity)
| sum(X3,X4,X5) ),
inference(resolution,[],[f34,f8]) ).
fof(f34,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X0,X1,X3)
| sum(X3,X4,X6)
| sP3(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X0,X1,X3)
| sum(X3,X4,X6) )
<=> ~ sP3(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f35,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP3(X4,X0,X6,X1)
| ~ sP2(X5,X0,X4,X1)
| ~ product(X0,X5,X6) ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f33,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ product(X0,X5,X6)
| sum(X3,X4,X6)
| ~ sP2(X5,X0,X4,X1) ),
inference(general_splitting,[],[f9,f32_D]) ).
fof(f32,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5)
| sP2(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP2(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ product(X0,X5,X6)
| ~ sum(X1,X2,X5)
| ~ product(X0,X2,X4)
| sum(X3,X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity1) ).
fof(f59699,plain,
! [X26,X27] : sP2(multiplicative_identity,X26,multiply(X26,X27),multiplicative_identity),
inference(resolution,[],[f57583,f371]) ).
fof(f371,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP2(X8,X9,multiply(X9,X7),X6) ),
inference(resolution,[],[f32,f2]) ).
fof(f57583,plain,
! [X13] : sum(multiplicative_identity,X13,multiplicative_identity),
inference(resolution,[],[f57575,f3]) ).
fof(f57575,plain,
! [X1] : sum(X1,multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f56374,f16150]) ).
fof(f16150,plain,
! [X2,X0,X1] :
( ~ sP2(X0,multiplicative_identity,X1,X2)
| sum(X2,X1,X0) ),
inference(resolution,[],[f1488,f7]) ).
fof(f1488,plain,
! [X10,X11,X8,X9] :
( ~ product(multiplicative_identity,X8,X11)
| ~ sP2(X8,multiplicative_identity,X9,X10)
| sum(X10,X9,X11) ),
inference(resolution,[],[f35,f402]) ).
fof(f402,plain,
! [X2,X0,X1] :
( sP3(X1,multiplicative_identity,X2,X0)
| sum(X0,X1,X2) ),
inference(resolution,[],[f34,f7]) ).
fof(f56374,plain,
! [X8,X9] : sP2(multiplicative_identity,X8,X8,X9),
inference(backward_demodulation,[],[f6878,f56221]) ).
fof(f6878,plain,
! [X8,X9] : sP2(add(X9,multiplicative_identity),X8,X8,X9),
inference(superposition,[],[f3913,f154]) ).
fof(f3913,plain,
! [X6,X4,X5] : sP2(add(X4,X5),X6,multiply(X6,X5),X4),
inference(resolution,[],[f371,f1]) ).
fof(f192822,plain,
! [X0] : product(add(X0,inverse(x)),sF16,add(sF16,multiply(X0,sF16))),
inference(resolution,[],[f89529,f7371]) ).
fof(f7371,plain,
! [X2,X3,X0,X1] :
( ~ sP7(multiply(X0,X2),X2,X3,X1)
| product(add(X0,X1),X2,X3) ),
inference(resolution,[],[f4256,f43]) ).
fof(f43,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP6(X4,X0,X5,X1)
| product(X5,X0,X6)
| ~ sP7(X4,X0,X6,X1) ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f42,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X1,X0,X3)
| ~ sum(X3,X4,X6)
| sP7(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X1,X0,X3)
| ~ sum(X3,X4,X6) )
<=> ~ sP7(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f41,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X0,X3)
| ~ sum(X3,X4,X6)
| product(X5,X0,X6)
| ~ sP6(X4,X0,X5,X1) ),
inference(general_splitting,[],[f12,f40_D]) ).
fof(f40,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,X5)
| sP6(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP6(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X0,X3)
| ~ sum(X3,X4,X6)
| ~ sum(X1,X2,X5)
| ~ product(X2,X0,X4)
| product(X5,X0,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity4) ).
fof(f4256,plain,
! [X8,X9,X7] : sP6(multiply(X7,X8),X8,add(X7,X9),X9),
inference(resolution,[],[f613,f82]) ).
fof(f613,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP6(multiply(X7,X9),X9,X8,X6) ),
inference(resolution,[],[f40,f2]) ).
fof(f89529,plain,
! [X190] : sP7(X190,sF16,add(sF16,X190),inverse(x)),
inference(superposition,[],[f7441,f89210]) ).
fof(f89210,plain,
sF16 = multiply(sF16,inverse(x)),
inference(resolution,[],[f71565,f137]) ).
fof(f71565,plain,
product(multiplicative_identity,sF16,multiply(sF16,inverse(x))),
inference(forward_literal_rewriting,[],[f71337,f4]) ).
fof(f71337,plain,
product(sF16,multiplicative_identity,multiply(sF16,inverse(x))),
inference(superposition,[],[f1979,f71286]) ).
fof(f71286,plain,
multiplicative_identity = add(x_plus_y,inverse(x)),
inference(resolution,[],[f66603,f137]) ).
fof(f66603,plain,
product(multiplicative_identity,add(x_plus_y,inverse(x)),multiplicative_identity),
inference(forward_demodulation,[],[f66589,f261]) ).
fof(f66589,plain,
product(multiplicative_identity,add(inverse(x),x_plus_y),multiplicative_identity),
inference(resolution,[],[f59948,f17736]) ).
fof(f59948,plain,
! [X112] : sP8(x,X112,add(X112,x_plus_y),x),
inference(superposition,[],[f4458,f57412]) ).
fof(f57412,plain,
x = multiply(x,x_plus_y),
inference(resolution,[],[f57395,f139]) ).
fof(f57395,plain,
product(x,x_plus_y,x),
inference(forward_literal_rewriting,[],[f57394,f4]) ).
fof(f57394,plain,
product(x_plus_y,x,x),
inference(resolution,[],[f56960,f15199]) ).
fof(f15199,plain,
! [X13] :
( ~ sP8(additive_identity,x,X13,y)
| product(x_plus_y,X13,x) ),
inference(resolution,[],[f2014,f6]) ).
fof(f2014,plain,
! [X18,X16,X17] :
( ~ sum(x,X16,X18)
| ~ sP8(X16,x,X17,y)
| product(x_plus_y,X17,X18) ),
inference(resolution,[],[f47,f858]) ).
fof(f858,plain,
! [X21,X20] :
( sP9(X20,x,X21,y)
| product(x_plus_y,X20,X21) ),
inference(resolution,[],[f46,f25]) ).
fof(f56960,plain,
! [X0,X1] : sP8(additive_identity,X1,X1,X0),
inference(backward_demodulation,[],[f4456,f56939]) ).
fof(f4456,plain,
! [X0,X1] : sP8(multiply(X0,additive_identity),X1,X1,X0),
inference(resolution,[],[f821,f6]) ).
fof(f7441,plain,
! [X2,X0,X1] : sP7(X2,X1,add(multiply(X1,X0),X2),X0),
inference(superposition,[],[f4340,f293]) ).
fof(f4340,plain,
! [X14,X12,X13] : sP7(X12,X13,add(multiply(X14,X13),X12),X14),
inference(resolution,[],[f744,f1]) ).
fof(f744,plain,
! [X8,X6,X9,X7] :
( ~ sum(multiply(X6,X7),X8,X9)
| sP7(X8,X7,X9,X6) ),
inference(resolution,[],[f42,f2]) ).
fof(f69643,plain,
! [X16,X15] : add(multiply(X15,X16),X16) = X16,
inference(resolution,[],[f69578,f103]) ).
fof(f103,plain,
! [X8,X9,X7] :
( ~ sum(X7,X8,X9)
| add(X8,X7) = X9 ),
inference(resolution,[],[f21,f82]) ).
fof(f134317,plain,
add(y,sF16) = add(sF16,add(y,x_inverse_times_y_inverse)),
inference(resolution,[],[f55872,f102]) ).
fof(f55872,plain,
sum(y,sF16,add(sF16,add(y,x_inverse_times_y_inverse))),
inference(backward_demodulation,[],[f17518,f55693]) ).
fof(f17518,plain,
sum(y,sF16,add(sF16,add(y,inverse(x)))),
inference(forward_literal_rewriting,[],[f17517,f3]) ).
fof(f17517,plain,
sum(sF16,y,add(sF16,add(y,inverse(x)))),
inference(forward_demodulation,[],[f17428,f261]) ).
fof(f17428,plain,
sum(sF16,y,add(add(y,inverse(x)),sF16)),
inference(superposition,[],[f13659,f17337]) ).
fof(f17337,plain,
y = multiply(x_plus_y,add(y,inverse(x))),
inference(resolution,[],[f17320,f139]) ).
fof(f17320,plain,
product(x_plus_y,add(y,inverse(x)),y),
inference(forward_demodulation,[],[f17317,f261]) ).
fof(f17317,plain,
product(x_plus_y,add(inverse(x),y),y),
inference(resolution,[],[f15329,f8628]) ).
fof(f8628,plain,
! [X10,X11] : sP14(additive_identity,X11,add(inverse(X10),X11),X10),
inference(superposition,[],[f4803,f221]) ).
fof(f221,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f145,f2]) ).
fof(f145,plain,
! [X10,X11] :
( ~ product(X10,inverse(X10),X11)
| additive_identity = X11 ),
inference(forward_literal_rewriting,[],[f141,f4]) ).
fof(f141,plain,
! [X10,X11] :
( ~ product(inverse(X10),X10,X11)
| additive_identity = X11 ),
inference(resolution,[],[f22,f19]) ).
fof(f4803,plain,
! [X6,X4,X5] : sP14(multiply(X4,X5),X6,add(X5,X6),X4),
inference(resolution,[],[f1085,f1]) ).
fof(f13659,plain,
! [X3] : sum(sF16,multiply(x_plus_y,X3),add(X3,sF16)),
inference(forward_literal_rewriting,[],[f13640,f3]) ).
fof(f13640,plain,
! [X3] : sum(multiply(x_plus_y,X3),sF16,add(X3,sF16)),
inference(resolution,[],[f4782,f4699]) ).
fof(f4699,plain,
! [X6,X4,X5] : sP12(add(X4,X5),X5,multiply(X6,X4),X6),
inference(resolution,[],[f953,f1]) ).
fof(f953,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP12(X8,X7,multiply(X9,X6),X9) ),
inference(resolution,[],[f52,f2]) ).
fof(f52,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| sP12(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4) )
<=> ~ sP12(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f4782,plain,
! [X0,X1] :
( ~ sP12(X0,sF16,X1,x_plus_y)
| sum(X1,sF16,X0) ),
inference(resolution,[],[f4781,f55]) ).
fof(f55,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP13(X4,X0,X6,X1)
| ~ sP12(X4,X0,X5,X1)
| sum(X5,X0,X6) ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f54,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X3,X4,X6)
| ~ sum(X1,X0,X3)
| sP13(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X3,X4,X6)
| ~ sum(X1,X0,X3) )
<=> ~ sP13(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f53,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X1,X0,X3)
| ~ product(X3,X4,X6)
| sum(X5,X0,X6)
| ~ sP12(X4,X0,X5,X1) ),
inference(general_splitting,[],[f16,f52_D]) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X1,X0,X3)
| ~ product(X3,X4,X6)
| ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| sum(X5,X0,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471',distributivity8) ).
fof(f4781,plain,
! [X25] : sP13(X25,sF16,X25,x_plus_y),
inference(forward_demodulation,[],[f4778,f153]) ).
fof(f4778,plain,
! [X25] : sP13(X25,sF16,multiply(multiplicative_identity,X25),x_plus_y),
inference(resolution,[],[f1005,f63]) ).
fof(f63,plain,
sum(x_plus_y,sF16,multiplicative_identity),
inference(forward_literal_rewriting,[],[f62,f3]) ).
fof(f62,plain,
sum(sF16,x_plus_y,multiplicative_identity),
inference(superposition,[],[f17,f60]) ).
fof(f1005,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP13(X9,X7,multiply(X8,X9),X6) ),
inference(resolution,[],[f54,f2]) ).
fof(f680,plain,
! [X2,X3] : sP0(additive_identity,inverse(X3),add(X3,X2),X2),
inference(superposition,[],[f577,f261]) ).
fof(f577,plain,
! [X12,X13] : sP0(additive_identity,inverse(X12),add(X13,X12),X13),
inference(superposition,[],[f392,f222]) ).
fof(f222,plain,
! [X1] : additive_identity = multiply(inverse(X1),X1),
inference(resolution,[],[f145,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO014-3 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:08:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.6h27D0LfPh/Vampire---4.8_20471
% 0.14/0.37 % (20627)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (20630)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.43 % (20632)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.43 % (20633)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.43 % (20628)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.43 % (20629)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.43 % (20634)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.43 % (20631)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.43 % (20631)Refutation not found, incomplete strategy% (20631)------------------------------
% 0.21/0.43 % (20631)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (20631)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (20631)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (20631)Memory used [KB]: 10106
% 0.21/0.43 % (20631)Time elapsed: 0.006 s
% 0.21/0.43 % (20631)------------------------------
% 0.21/0.43 % (20631)------------------------------
% 0.21/0.49 % (20630)Refutation not found, incomplete strategy% (20630)------------------------------
% 0.21/0.49 % (20630)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (20630)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (20630)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (20630)Memory used [KB]: 1151
% 0.21/0.49 % (20630)Time elapsed: 0.064 s
% 0.21/0.49 % (20630)------------------------------
% 0.21/0.49 % (20630)------------------------------
% 0.21/0.50 % (20635)ott+10_5_av=off:bsr=on:br=off:drc=off:fsd=off:fsr=off:fde=unused:gsp=on:lcm=predicate:lma=on:nwc=2.5:sos=all:sp=occurrence:tgt=full:urr=on_375 on Vampire---4 for (375ds/0Mi)
% 0.21/0.53 % (20636)lrs-1010_3_aac=none:anc=none:er=known:fsd=off:fde=unused:gs=on:lcm=predicate:sos=on:sp=weighted_frequency:tgt=ground:stl=62_365 on Vampire---4 for (365ds/0Mi)
% 31.24/4.88 % (20634)First to succeed.
% 31.24/4.88 % (20634)Refutation found. Thanks to Tanya!
% 31.24/4.88 % SZS status Unsatisfiable for Vampire---4
% 31.24/4.88 % SZS output start Proof for Vampire---4
% See solution above
% 31.24/4.88 % (20634)------------------------------
% 31.24/4.88 % (20634)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 31.24/4.88 % (20634)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 31.24/4.88 % (20634)Termination reason: Refutation
% 31.24/4.88
% 31.24/4.88 % (20634)Memory used [KB]: 81107
% 31.24/4.88 % (20634)Time elapsed: 4.450 s
% 31.24/4.88 % (20634)------------------------------
% 31.24/4.88 % (20634)------------------------------
% 31.24/4.88 % (20627)Success in time 4.498 s
% 31.24/4.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------