TSTP Solution File: GRP370-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP370-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n010.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 16:21:27 EDT 2022
% Result : Unsatisfiable 2.44s 0.67s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 212 ( 9 unt; 0 def)
% Number of atoms : 764 ( 239 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1084 ( 532 ~; 536 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f623,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f52,f61,f66,f79,f89,f90,f95,f96,f98,f103,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f190,f250,f306,f326,f411,f454,f495,f530,f552,f556,f585,f622]) ).
fof(f622,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f620,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f619,f608]) ).
fof(f608,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f606,f560]) ).
fof(f560,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f155,f188]) ).
fof(f188,plain,
( identity = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_21
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f155,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f145,f146]) ).
fof(f146,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f141,f141]) ).
fof(f141,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f140,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f140,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f145,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f141,f2]) ).
fof(f606,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f141,f83]) ).
fof(f83,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f619,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f618]) ).
fof(f618,plain,
( sk_c7 != inverse(sk_c2)
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f612,f560]) ).
fof(f612,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f588,f83]) ).
fof(f588,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c7 != inverse(X8) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f587,f561]) ).
fof(f561,plain,
( sk_c7 = sk_c9
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f42,f560]) ).
fof(f42,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_2
<=> multiply(sk_c7,sk_c8) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f587,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c7,multiply(X8,sk_c7)) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f78,f561]) ).
fof(f78,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X8) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_11
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f585,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f584,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f583]) ).
fof(f583,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f582,f47]) ).
fof(f47,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f582,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f581]) ).
fof(f581,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f579,f83]) ).
fof(f579,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f75,f56]) ).
fof(f56,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_5
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f75,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_10
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f556,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f554]) ).
fof(f554,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f553,f517]) ).
fof(f517,plain,
( sk_c8 = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f501,f465]) ).
fof(f465,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15 ),
inference(backward_demodulation,[],[f102,f460]) ).
fof(f460,plain,
( sk_c7 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f413,f60]) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c9,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c9,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f413,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f404,f51]) ).
fof(f51,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_4
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f404,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f141,f38]) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f102,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_15
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f501,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_21 ),
inference(backward_demodulation,[],[f487,f496]) ).
fof(f496,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f188,f483]) ).
fof(f483,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f481,f2]) ).
fof(f481,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f141,f463]) ).
fof(f463,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f60,f460]) ).
fof(f487,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f2,f483]) ).
fof(f553,plain,
( sk_c8 != multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f548,f536]) ).
fof(f536,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f533,f500]) ).
fof(f500,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_21 ),
inference(backward_demodulation,[],[f485,f496]) ).
fof(f485,plain,
( ! [X4] : multiply(X4,sk_c6) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f155,f483]) ).
fof(f533,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f141,f517]) ).
fof(f548,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f547]) ).
fof(f547,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f75,f501]) ).
fof(f552,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f550]) ).
fof(f550,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f549,f517]) ).
fof(f549,plain,
( sk_c8 != multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f548,f543]) ).
fof(f543,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f525,f537]) ).
fof(f537,plain,
( sk_c3 = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f536,f525]) ).
fof(f525,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f523,f500]) ).
fof(f523,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_21 ),
inference(superposition,[],[f141,f516]) ).
fof(f516,plain,
( sk_c8 = multiply(sk_c7,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_21 ),
inference(superposition,[],[f501,f65]) ).
fof(f65,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_7
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f530,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f528]) ).
fof(f528,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f527,f65]) ).
fof(f527,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f185,f525]) ).
fof(f185,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl0_20 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl0_20
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f495,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f462,f492]) ).
fof(f492,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f490,f465]) ).
fof(f490,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f141,f464]) ).
fof(f464,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(backward_demodulation,[],[f94,f460]) ).
fof(f94,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_14
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f462,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f41,f460]) ).
fof(f41,plain,
( multiply(sk_c7,sk_c8) != sk_c9
| spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f454,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f450,f58,f49,f40,f36,f187]) ).
fof(f450,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f437,f445]) ).
fof(f445,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f423,f444]) ).
fof(f444,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f2,f437]) ).
fof(f423,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f147,f416]) ).
fof(f416,plain,
( sk_c7 = sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f415,f155]) ).
fof(f415,plain,
( sk_c9 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f414,f360]) ).
fof(f360,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f358,f2]) ).
fof(f358,plain,
( multiply(inverse(sk_c7),sk_c7) = multiply(sk_c8,sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f141,f357]) ).
fof(f357,plain,
( sk_c7 = multiply(sk_c7,multiply(sk_c8,sk_c6))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f60,f123]) ).
fof(f123,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f42]) ).
fof(f414,plain,
( sk_c9 = multiply(sk_c7,multiply(sk_c8,sk_c6))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f413,f123]) ).
fof(f147,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c9)
| ~ spl0_2 ),
inference(superposition,[],[f141,f42]) ).
fof(f437,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f360,f429]) ).
fof(f429,plain,
( ! [X7] : multiply(sk_c8,X7) = X7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f424,f141]) ).
fof(f424,plain,
( ! [X7] : multiply(inverse(sk_c7),multiply(sk_c7,multiply(sk_c8,X7))) = X7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(backward_demodulation,[],[f148,f416]) ).
fof(f148,plain,
( ! [X7] : multiply(inverse(sk_c9),multiply(sk_c7,multiply(sk_c8,X7))) = X7
| ~ spl0_2 ),
inference(superposition,[],[f141,f123]) ).
fof(f411,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f408,f155]) ).
fof(f408,plain,
( sk_c7 != multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f407,f360]) ).
fof(f407,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c8,sk_c6))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f406]) ).
fof(f406,plain,
( sk_c9 != sk_c9
| sk_c7 != multiply(sk_c7,multiply(sk_c8,sk_c6))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f403,f51]) ).
fof(f403,plain,
( sk_c9 != inverse(sk_c5)
| sk_c7 != multiply(sk_c7,multiply(sk_c8,sk_c6))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f356,f38]) ).
fof(f356,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c7,multiply(sk_c8,multiply(X8,sk_c9)))
| sk_c9 != inverse(X8) )
| ~ spl0_2
| ~ spl0_11 ),
inference(backward_demodulation,[],[f78,f123]) ).
fof(f326,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f325,f187,f71,f40,f68]) ).
fof(f68,plain,
( spl0_8
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f71,plain,
( spl0_9
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f325,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f324,f320]) ).
fof(f320,plain,
( sk_c7 = sk_c9
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f42,f251]) ).
fof(f251,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_21 ),
inference(backward_demodulation,[],[f155,f188]) ).
fof(f324,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c9 != inverse(X5) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_21 ),
inference(backward_demodulation,[],[f72,f320]) ).
fof(f72,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f306,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( sk_c7 != sk_c7
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(backward_demodulation,[],[f197,f300]) ).
fof(f300,plain,
( sk_c7 = sk_c1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f296,f251]) ).
fof(f296,plain,
( multiply(sk_c7,sk_c8) = sk_c1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f246,f253]) ).
fof(f253,plain,
( sk_c8 = multiply(sk_c2,sk_c1)
| ~ spl0_5
| ~ spl0_21 ),
inference(backward_demodulation,[],[f139,f188]) ).
fof(f139,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_5 ),
inference(superposition,[],[f2,f56]) ).
fof(f246,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f229,f232]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f201,f227]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f225,f127]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f47]) ).
fof(f225,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f141,f196]) ).
fof(f196,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f192,f155]) ).
fof(f192,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_5 ),
inference(superposition,[],[f141,f139]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f135,f200]) ).
fof(f200,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c7,X9)) = multiply(sk_c7,X9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f199,f135]) ).
fof(f199,plain,
( ! [X9] : multiply(sk_c1,multiply(sk_c8,X9)) = multiply(sk_c7,X9)
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f152,f196]) ).
fof(f152,plain,
( ! [X9] : multiply(inverse(sk_c2),multiply(sk_c8,X9)) = multiply(sk_c7,X9)
| ~ spl0_12 ),
inference(superposition,[],[f141,f132]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_12 ),
inference(superposition,[],[f3,f83]) ).
fof(f135,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f127,f132]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f127,f227]) ).
fof(f197,plain,
( sk_c7 != sk_c1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f163,f196]) ).
fof(f163,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f162]) ).
fof(f162,plain,
( sk_c7 != inverse(sk_c2)
| sk_c8 != sk_c8
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f69,f83]) ).
fof(f69,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f250,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f249,f81,f54,f45,f187]) ).
fof(f249,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f248,f237]) ).
fof(f237,plain,
( sk_c8 = multiply(sk_c7,sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f47,f232]) ).
fof(f248,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f226,f232]) ).
fof(f226,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f2,f196]) ).
fof(f190,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f160,f68,f187,f183]) ).
fof(f160,plain,
( identity != sk_c8
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_8 ),
inference(superposition,[],[f69,f2]) ).
fof(f119,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f58,f81]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f118,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f45,f63]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f117,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f45,f58]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f116,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f40,f92]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f115,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f45,f92]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f114,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f25,f92,f81]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f113,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f100,f45]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f112,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f28,f63,f81]) ).
fof(f28,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f111,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f23,f36,f54]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f110,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f58,f40]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f109,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f54,f49]) ).
fof(f24,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f108,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f19,f100,f54]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f107,plain,
( spl0_15
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f40,f100]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f103,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f100,f81]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f98,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f30,f36,f81]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f96,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f49,f40]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f95,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f92,f54]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f90,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f31,f81,f49]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f89,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f45,f36]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f79,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f34,f40,f77,f74,f71,f68]) ).
fof(f34,plain,
! [X3,X8,X6,X5] :
( multiply(sk_c7,sk_c8) != sk_c9
| sk_c9 != inverse(X8)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X3,X8,X6,X7,X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c7 != multiply(sk_c9,X7)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X8)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c9) != X7
| multiply(sk_c7,sk_c8) != sk_c9 ),
inference(equality_resolution,[],[f32]) ).
fof(f32,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c9,X7)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X8)
| inverse(X3) != X4
| sk_c8 != multiply(X3,X4)
| sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c9) != X7
| multiply(sk_c7,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f66,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f54,f63]) ).
fof(f21,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f61,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f58,f54]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f52,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f49,f45]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f43,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f40,f36]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP370-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.13 % 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 : n010.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 : Mon Aug 29 22:19:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % (5461)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (5484)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (5476)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)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (5481)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)
% 0.20/0.55 % (5473)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (5468)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.56 % (5466)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)
% 1.52/0.56 % (5468)Instruction limit reached!
% 1.52/0.56 % (5468)------------------------------
% 1.52/0.56 % (5468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57 % (5468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (5468)Termination reason: Unknown
% 1.52/0.57 % (5468)Termination phase: Saturation
% 1.52/0.57
% 1.52/0.57 % (5468)Memory used [KB]: 5500
% 1.52/0.57 % (5468)Time elapsed: 0.091 s
% 1.52/0.57 % (5468)Instructions burned: 7 (million)
% 1.52/0.57 % (5468)------------------------------
% 1.52/0.57 % (5468)------------------------------
% 1.52/0.57 % (5463)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)
% 1.76/0.58 % (5464)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)
% 1.76/0.59 % (5465)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.59 % (5467)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)
% 1.76/0.59 TRYING [1]
% 1.76/0.59 TRYING [2]
% 1.76/0.59 % (5487)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)
% 1.76/0.59 % (5483)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)
% 1.76/0.60 % (5469)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.76/0.60 % (5469)Instruction limit reached!
% 1.76/0.60 % (5469)------------------------------
% 1.76/0.60 % (5469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (5480)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)
% 1.76/0.60 % (5471)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.76/0.60 % (5479)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.60 % (5475)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)
% 1.76/0.60 % (5472)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)
% 1.76/0.60 TRYING [5]
% 1.76/0.60 % (5470)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)
% 1.76/0.61 % (5486)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.76/0.61 % (5489)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.76/0.61 % (5490)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)
% 1.76/0.61 % (5462)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)
% 1.76/0.61 % (5488)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)
% 1.76/0.61 % (5469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (5469)Termination reason: Unknown
% 1.76/0.61 % (5469)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (5469)Memory used [KB]: 895
% 1.76/0.61 % (5469)Time elapsed: 0.003 s
% 1.76/0.61 % (5469)Instructions burned: 2 (million)
% 1.76/0.61 % (5469)------------------------------
% 1.76/0.61 % (5469)------------------------------
% 1.76/0.62 % (5474)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.76/0.62 % (5477)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)
% 1.76/0.62 TRYING [3]
% 1.76/0.62 % (5478)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.76/0.62 % (5482)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.76/0.62 TRYING [1]
% 1.76/0.62 TRYING [2]
% 1.76/0.63 TRYING [3]
% 1.76/0.63 % (5485)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.26/0.65 TRYING [4]
% 2.26/0.66 % (5463)Instruction limit reached!
% 2.26/0.66 % (5463)------------------------------
% 2.26/0.66 % (5463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66 % (5463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66 % (5463)Termination reason: Unknown
% 2.26/0.66 % (5463)Termination phase: Saturation
% 2.26/0.66
% 2.26/0.66 % (5463)Memory used [KB]: 1279
% 2.26/0.66 % (5463)Time elapsed: 0.233 s
% 2.26/0.66 % (5463)Instructions burned: 37 (million)
% 2.26/0.66 % (5463)------------------------------
% 2.26/0.66 % (5463)------------------------------
% 2.26/0.66 % (5490)First to succeed.
% 2.44/0.67 % (5471)Also succeeded, but the first one will report.
% 2.44/0.67 TRYING [4]
% 2.44/0.67 % (5490)Refutation found. Thanks to Tanya!
% 2.44/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.44/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.44/0.67 % (5490)------------------------------
% 2.44/0.67 % (5490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.67 % (5490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.67 % (5490)Termination reason: Refutation
% 2.44/0.67
% 2.44/0.67 % (5490)Memory used [KB]: 5756
% 2.44/0.67 % (5490)Time elapsed: 0.236 s
% 2.44/0.67 % (5490)Instructions burned: 20 (million)
% 2.44/0.67 % (5490)------------------------------
% 2.44/0.67 % (5490)------------------------------
% 2.44/0.67 % (5460)Success in time 0.321 s
%------------------------------------------------------------------------------