TSTP Solution File: GRP299-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP299-1 : 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_uns --cores 0 -t %d %s
% Computer : n006.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 16:15:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 261 ( 29 unt; 0 def)
% Number of atoms : 824 ( 308 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1079 ( 516 ~; 550 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f911,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f87,f92,f93,f94,f104,f109,f110,f111,f116,f117,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f235,f285,f313,f513,f621,f635,f743,f760,f909]) ).
fof(f909,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f908,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f903,f839]) ).
fof(f839,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f838,f825]) ).
fof(f825,plain,
( identity = sk_c6
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f824,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f824,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f324,f823]) ).
fof(f823,plain,
( sk_c7 = sk_c5
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f323,f822]) ).
fof(f822,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl10_5
| ~ spl10_8 ),
inference(forward_demodulation,[],[f316,f86]) ).
fof(f86,plain,
( sk_c7 = sF4
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl10_5
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f316,plain,
( sk_c7 = multiply(sF4,sk_c6)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f175,f103]) ).
fof(f103,plain,
( sk_c6 = sF8
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl10_8
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f175,plain,
sk_c7 = multiply(sF4,sF8),
inference(superposition,[],[f166,f48]) ).
fof(f48,plain,
multiply(sk_c1,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f166,plain,
! [X0] : multiply(sF4,multiply(sk_c1,X0)) = X0,
inference(forward_demodulation,[],[f165,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f165,plain,
! [X0] : multiply(identity,X0) = multiply(sF4,multiply(sk_c1,X0)),
inference(superposition,[],[f3,f147]) ).
fof(f147,plain,
identity = multiply(sF4,sk_c1),
inference(superposition,[],[f2,f36]) ).
fof(f36,plain,
inverse(sk_c1) = sF4,
introduced(function_definition,[]) ).
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(f323,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl10_10 ),
inference(backward_demodulation,[],[f30,f115]) ).
fof(f115,plain,
( sk_c5 = sF0
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl10_10
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f30,plain,
multiply(sk_c7,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f324,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl10_10 ),
inference(backward_demodulation,[],[f188,f115]) ).
fof(f188,plain,
sk_c6 = multiply(inverse(sk_c7),sF0),
inference(superposition,[],[f160,f30]) ).
fof(f160,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f150,f1]) ).
fof(f150,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f838,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f321,f823]) ).
fof(f321,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f38,f68]) ).
fof(f68,plain,
( sk_c6 = sF5
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl10_1
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f38,plain,
multiply(sk_c5,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f903,plain,
( identity != multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(duplicate_literal_removal,[],[f899]) ).
fof(f899,plain,
( identity != multiply(sk_c7,sk_c7)
| identity != multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(superposition,[],[f865,f867]) ).
fof(f867,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f768,f855]) ).
fof(f855,plain,
( sk_c7 = sk_c1
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f771,f842]) ).
fof(f842,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f841,f823]) ).
fof(f841,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f320,f825]) ).
fof(f320,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f191,f68]) ).
fof(f191,plain,
sk_c7 = multiply(inverse(sk_c5),sF5),
inference(superposition,[],[f160,f38]) ).
fof(f771,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f199,f86]) ).
fof(f199,plain,
sk_c1 = multiply(inverse(sF4),identity),
inference(superposition,[],[f160,f147]) ).
fof(f768,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f36,f86]) ).
fof(f865,plain,
( ! [X5] :
( identity != multiply(inverse(X5),sk_c7)
| identity != multiply(X5,inverse(X5)) )
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f864,f825]) ).
fof(f864,plain,
( ! [X5] :
( sk_c6 != multiply(X5,inverse(X5))
| identity != multiply(inverse(X5),sk_c7) )
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f120,f825]) ).
fof(f120,plain,
( ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl10_11
<=> ! [X5] :
( sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f760,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f758,f712]) ).
fof(f712,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f698,f707]) ).
fof(f707,plain,
( sk_c7 = sk_c4
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(forward_demodulation,[],[f706,f703]) ).
fof(f703,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f683,f698]) ).
fof(f683,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f669,f680]) ).
fof(f680,plain,
( sk_c7 = sk_c5
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7 ),
inference(forward_demodulation,[],[f674,f1]) ).
fof(f674,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f641,f655]) ).
fof(f655,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_6 ),
inference(forward_demodulation,[],[f653,f2]) ).
fof(f653,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl10_2
| ~ spl10_6 ),
inference(backward_demodulation,[],[f645,f72]) ).
fof(f72,plain,
( sk_c4 = sF1
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl10_2
<=> sk_c4 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f645,plain,
( sk_c6 = multiply(inverse(sF1),sk_c4)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f473,f91]) ).
fof(f91,plain,
( sk_c6 = sF6
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl10_6
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f473,plain,
multiply(inverse(sF1),sk_c4) = sF6,
inference(superposition,[],[f160,f420]) ).
fof(f420,plain,
sk_c4 = multiply(sF1,sF6),
inference(forward_demodulation,[],[f418,f31]) ).
fof(f31,plain,
inverse(sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f418,plain,
sk_c4 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f160,f40]) ).
fof(f40,plain,
multiply(sk_c3,sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f641,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f50,f98]) ).
fof(f98,plain,
( sk_c5 = sF9
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl10_7
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f50,plain,
multiply(sk_c6,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f669,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_6 ),
inference(backward_demodulation,[],[f320,f655]) ).
fof(f706,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl10_2
| ~ spl10_6 ),
inference(forward_demodulation,[],[f652,f655]) ).
fof(f652,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl10_2
| ~ spl10_6 ),
inference(backward_demodulation,[],[f644,f72]) ).
fof(f644,plain,
( sk_c4 = multiply(sF1,sk_c6)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f420,f91]) ).
fof(f698,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f648,f696]) ).
fof(f696,plain,
( sk_c7 = sk_c3
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f651,f662]) ).
fof(f662,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f195,f655]) ).
fof(f195,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl10_3 ),
inference(superposition,[],[f160,f144]) ).
fof(f144,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl10_3 ),
inference(backward_demodulation,[],[f42,f77]) ).
fof(f77,plain,
( sk_c6 = sF7
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl10_3
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f42,plain,
multiply(sk_c4,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f651,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f466,f72]) ).
fof(f466,plain,
sk_c3 = multiply(inverse(sF1),identity),
inference(superposition,[],[f160,f414]) ).
fof(f414,plain,
identity = multiply(sF1,sk_c3),
inference(superposition,[],[f2,f31]) ).
fof(f648,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f31,f72]) ).
fof(f758,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_13 ),
inference(forward_demodulation,[],[f754,f712]) ).
fof(f754,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl10_2
| ~ spl10_6
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f750]) ).
fof(f750,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != identity
| ~ spl10_2
| ~ spl10_6
| ~ spl10_13 ),
inference(superposition,[],[f744,f2]) ).
fof(f744,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl10_2
| ~ spl10_6
| ~ spl10_13 ),
inference(forward_demodulation,[],[f126,f655]) ).
fof(f126,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl10_13
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f743,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f741,f712]) ).
fof(f741,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f740]) ).
fof(f740,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f659,f688]) ).
fof(f688,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f672,f680]) ).
fof(f672,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_10 ),
inference(backward_demodulation,[],[f323,f655]) ).
fof(f659,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl10_2
| ~ spl10_6
| ~ spl10_12 ),
inference(backward_demodulation,[],[f123,f655]) ).
fof(f123,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl10_12
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f635,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f628,f522]) ).
fof(f522,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f325,f519]) ).
fof(f519,plain,
( sk_c7 = sk_c1
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f328,f497]) ).
fof(f497,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f353,f495]) ).
fof(f495,plain,
( sk_c7 = sk_c5
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f356,f401]) ).
fof(f401,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl10_5
| ~ spl10_8 ),
inference(forward_demodulation,[],[f332,f333]) ).
fof(f333,plain,
( identity = sk_c6
| ~ spl10_5
| ~ spl10_8 ),
inference(forward_demodulation,[],[f330,f2]) ).
fof(f330,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_5
| ~ spl10_8 ),
inference(backward_demodulation,[],[f314,f86]) ).
fof(f314,plain,
( sk_c6 = multiply(inverse(sF4),sk_c7)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f201,f103]) ).
fof(f201,plain,
sF8 = multiply(inverse(sF4),sk_c7),
inference(superposition,[],[f160,f175]) ).
fof(f332,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl10_5
| ~ spl10_8 ),
inference(backward_demodulation,[],[f316,f86]) ).
fof(f356,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f323,f333]) ).
fof(f353,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8 ),
inference(backward_demodulation,[],[f320,f333]) ).
fof(f328,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f199,f86]) ).
fof(f325,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f36,f86]) ).
fof(f628,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f626]) ).
fof(f626,plain,
( identity != identity
| sk_c7 != inverse(sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(superposition,[],[f622,f496]) ).
fof(f496,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f354,f495]) ).
fof(f354,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8 ),
inference(backward_demodulation,[],[f321,f333]) ).
fof(f622,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl10_5
| ~ spl10_8
| ~ spl10_13 ),
inference(forward_demodulation,[],[f126,f333]) ).
fof(f621,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f619,f522]) ).
fof(f619,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl10_5
| ~ spl10_8
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f616]) ).
fof(f616,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl10_5
| ~ spl10_8
| ~ spl10_12 ),
inference(superposition,[],[f518,f401]) ).
fof(f518,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl10_5
| ~ spl10_8
| ~ spl10_12 ),
inference(forward_demodulation,[],[f123,f333]) ).
fof(f513,plain,
( ~ spl10_5
| spl10_7
| ~ spl10_8
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl10_5
| spl10_7
| ~ spl10_8
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f461,f499]) ).
fof(f499,plain,
( sk_c7 != sF9
| ~ spl10_5
| spl10_7
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f97,f495]) ).
fof(f97,plain,
( sk_c5 != sF9
| spl10_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f461,plain,
( sk_c7 = sF9
| ~ spl10_5
| ~ spl10_8 ),
inference(forward_demodulation,[],[f460,f1]) ).
fof(f460,plain,
( multiply(identity,sk_c7) = sF9
| ~ spl10_5
| ~ spl10_8 ),
inference(forward_demodulation,[],[f50,f333]) ).
fof(f313,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f311,f219]) ).
fof(f219,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f171,f203]) ).
fof(f203,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_6 ),
inference(forward_demodulation,[],[f196,f2]) ).
fof(f196,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl10_2
| ~ spl10_6 ),
inference(superposition,[],[f160,f167]) ).
fof(f167,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl10_2
| ~ spl10_6 ),
inference(superposition,[],[f162,f140]) ).
fof(f140,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f40,f91]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl10_2 ),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f161,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl10_2 ),
inference(superposition,[],[f3,f145]) ).
fof(f145,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl10_2 ),
inference(superposition,[],[f2,f141]) ).
fof(f141,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f31,f72]) ).
fof(f171,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl10_4
| ~ spl10_9 ),
inference(superposition,[],[f164,f143]) ).
fof(f143,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f35,f82]) ).
fof(f82,plain,
( sk_c7 = sF3
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl10_4
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f35,plain,
multiply(sk_c2,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl10_9 ),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f163,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl10_9 ),
inference(superposition,[],[f3,f146]) ).
fof(f146,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl10_9 ),
inference(superposition,[],[f2,f142]) ).
fof(f142,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f33,f108]) ).
fof(f108,plain,
( sk_c7 = sF2
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl10_9
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f33,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f311,plain,
( identity != multiply(sk_c7,sk_c7)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f298,f259]) ).
fof(f259,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f249,f252]) ).
fof(f252,plain,
( sk_c7 = sk_c4
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f217,f251]) ).
fof(f251,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f221,f249]) ).
fof(f221,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f187,f203]) ).
fof(f187,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl10_4
| ~ spl10_9 ),
inference(superposition,[],[f160,f171]) ).
fof(f217,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl10_2
| ~ spl10_6 ),
inference(backward_demodulation,[],[f167,f203]) ).
fof(f249,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f141,f244]) ).
fof(f244,plain,
( sk_c7 = sk_c3
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f197,f222]) ).
fof(f222,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f195,f203]) ).
fof(f197,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl10_2 ),
inference(superposition,[],[f160,f145]) ).
fof(f298,plain,
( identity != multiply(sk_c7,inverse(sk_c7))
| ~ spl10_2
| ~ spl10_6
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( identity != identity
| identity != multiply(sk_c7,inverse(sk_c7))
| ~ spl10_2
| ~ spl10_6
| ~ spl10_11 ),
inference(superposition,[],[f288,f2]) ).
fof(f288,plain,
( ! [X5] :
( identity != multiply(inverse(X5),sk_c7)
| identity != multiply(X5,inverse(X5)) )
| ~ spl10_2
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f287,f203]) ).
fof(f287,plain,
( ! [X5] :
( identity != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c7) )
| ~ spl10_2
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f120,f203]) ).
fof(f285,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_9
| spl10_10 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_9
| spl10_10 ),
inference(subsumption_resolution,[],[f283,f224]) ).
fof(f224,plain,
( sk_c7 = sk_c5
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7 ),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f208,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f139,f203]) ).
fof(f139,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f50,f98]) ).
fof(f283,plain,
( sk_c7 != sk_c5
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_10 ),
inference(forward_demodulation,[],[f114,f261]) ).
fof(f261,plain,
( sk_c7 = sF0
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f204,f260]) ).
fof(f260,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f251,f252]) ).
fof(f204,plain,
( multiply(sk_c7,identity) = sF0
| ~ spl10_2
| ~ spl10_6 ),
inference(backward_demodulation,[],[f30,f203]) ).
fof(f114,plain,
( sk_c5 != sF0
| spl10_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f235,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| spl10_1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f233,f205]) ).
fof(f205,plain,
( identity != sF5
| spl10_1
| ~ spl10_2
| ~ spl10_6 ),
inference(backward_demodulation,[],[f67,f203]) ).
fof(f67,plain,
( sk_c6 != sF5
| spl10_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f233,plain,
( identity = sF5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f227,f219]) ).
fof(f227,plain,
( multiply(sk_c7,sk_c7) = sF5
| ~ spl10_2
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f38,f224]) ).
fof(f138,plain,
( spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f52,f101,f96]) ).
fof(f52,plain,
( sk_c6 = sF8
| sk_c5 = sF9 ),
inference(definition_folding,[],[f10,f48,f50]) ).
fof(f10,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f137,plain,
( spl10_9
| spl10_5 ),
inference(avatar_split_clause,[],[f46,f84,f106]) ).
fof(f46,plain,
( sk_c7 = sF4
| sk_c7 = sF2 ),
inference(definition_folding,[],[f17,f33,f36]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f136,plain,
( spl10_9
| spl10_8 ),
inference(avatar_split_clause,[],[f62,f101,f106]) ).
fof(f62,plain,
( sk_c6 = sF8
| sk_c7 = sF2 ),
inference(definition_folding,[],[f11,f33,f48]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f135,plain,
( spl10_8
| spl10_2 ),
inference(avatar_split_clause,[],[f53,f70,f101]) ).
fof(f53,plain,
( sk_c4 = sF1
| sk_c6 = sF8 ),
inference(definition_folding,[],[f14,f48,f31]) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f134,plain,
( spl10_10
| spl10_9 ),
inference(avatar_split_clause,[],[f34,f106,f113]) ).
fof(f34,plain,
( sk_c7 = sF2
| sk_c5 = sF0 ),
inference(definition_folding,[],[f5,f30,f33]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f133,plain,
( spl10_10
| spl10_3 ),
inference(avatar_split_clause,[],[f43,f75,f113]) ).
fof(f43,plain,
( sk_c6 = sF7
| sk_c5 = sF0 ),
inference(definition_folding,[],[f9,f42,f30]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f132,plain,
( spl10_4
| spl10_8 ),
inference(avatar_split_clause,[],[f64,f101,f80]) ).
fof(f64,plain,
( sk_c6 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f12,f35,f48]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f131,plain,
( spl10_1
| spl10_4 ),
inference(avatar_split_clause,[],[f60,f80,f66]) ).
fof(f60,plain,
( sk_c7 = sF3
| sk_c6 = sF5 ),
inference(definition_folding,[],[f24,f35,f38]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f130,plain,
( spl10_7
| spl10_10 ),
inference(avatar_split_clause,[],[f51,f113,f96]) ).
fof(f51,plain,
( sk_c5 = sF0
| sk_c5 = sF9 ),
inference(definition_folding,[],[f4,f50,f30]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f129,plain,
( spl10_2
| spl10_5 ),
inference(avatar_split_clause,[],[f56,f84,f70]) ).
fof(f56,plain,
( sk_c7 = sF4
| sk_c4 = sF1 ),
inference(definition_folding,[],[f20,f31,f36]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f128,plain,
( spl10_10
| spl10_4 ),
inference(avatar_split_clause,[],[f47,f80,f113]) ).
fof(f47,plain,
( sk_c7 = sF3
| sk_c5 = sF0 ),
inference(definition_folding,[],[f6,f30,f35]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f127,plain,
( spl10_11
| ~ spl10_7
| ~ spl10_10
| spl10_12
| spl10_13
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f55,f66,f125,f122,f113,f96,f119]) ).
fof(f55,plain,
! [X3,X4,X5] :
( sk_c6 != sF5
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c5 != sF0
| sk_c5 != sF9
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c7 != inverse(X4) ),
inference(definition_folding,[],[f29,f30,f38,f50]) ).
fof(f29,plain,
! [X3,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != inverse(X3)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != multiply(X6,sk_c7)
| inverse(X5) != X6
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,X6)
| sk_c7 != inverse(X3)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f117,plain,
( spl10_6
| spl10_10 ),
inference(avatar_split_clause,[],[f59,f113,f89]) ).
fof(f59,plain,
( sk_c5 = sF0
| sk_c6 = sF6 ),
inference(definition_folding,[],[f7,f40,f30]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f116,plain,
( spl10_2
| spl10_10 ),
inference(avatar_split_clause,[],[f32,f113,f70]) ).
fof(f32,plain,
( sk_c5 = sF0
| sk_c4 = sF1 ),
inference(definition_folding,[],[f8,f31,f30]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f111,plain,
( spl10_5
| spl10_7 ),
inference(avatar_split_clause,[],[f58,f96,f84]) ).
fof(f58,plain,
( sk_c5 = sF9
| sk_c7 = sF4 ),
inference(definition_folding,[],[f16,f36,f50]) ).
fof(f16,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f110,plain,
( spl10_3
| spl10_8 ),
inference(avatar_split_clause,[],[f61,f101,f75]) ).
fof(f61,plain,
( sk_c6 = sF8
| sk_c6 = sF7 ),
inference(definition_folding,[],[f15,f42,f48]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f109,plain,
( spl10_1
| spl10_9 ),
inference(avatar_split_clause,[],[f44,f106,f66]) ).
fof(f44,plain,
( sk_c7 = sF2
| sk_c6 = sF5 ),
inference(definition_folding,[],[f23,f33,f38]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f104,plain,
( spl10_8
| spl10_6 ),
inference(avatar_split_clause,[],[f49,f89,f101]) ).
fof(f49,plain,
( sk_c6 = sF6
| sk_c6 = sF8 ),
inference(definition_folding,[],[f13,f40,f48]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f94,plain,
( spl10_6
| spl10_1 ),
inference(avatar_split_clause,[],[f41,f66,f89]) ).
fof(f41,plain,
( sk_c6 = sF5
| sk_c6 = sF6 ),
inference(definition_folding,[],[f25,f40,f38]) ).
fof(f25,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f93,plain,
( spl10_5
| spl10_3 ),
inference(avatar_split_clause,[],[f57,f75,f84]) ).
fof(f57,plain,
( sk_c6 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f21,f36,f42]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f92,plain,
( spl10_6
| spl10_5 ),
inference(avatar_split_clause,[],[f63,f84,f89]) ).
fof(f63,plain,
( sk_c7 = sF4
| sk_c6 = sF6 ),
inference(definition_folding,[],[f19,f40,f36]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f87,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f37,f84,f80]) ).
fof(f37,plain,
( sk_c7 = sF4
| sk_c7 = sF3 ),
inference(definition_folding,[],[f18,f36,f35]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f73,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f39,f70,f66]) ).
fof(f39,plain,
( sk_c4 = sF1
| sk_c6 = sF5 ),
inference(definition_folding,[],[f26,f38,f31]) ).
fof(f26,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP299-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 22:25:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (28150)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49 % (28168)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (28168)Instruction limit reached!
% 0.19/0.50 % (28168)------------------------------
% 0.19/0.50 % (28168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28159)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (28173)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50 % (28156)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (28162)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51 % (28158)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (28162)Instruction limit reached!
% 0.19/0.51 % (28162)------------------------------
% 0.19/0.51 % (28162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28168)Termination reason: Unknown
% 0.19/0.51 % (28168)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (28168)Memory used [KB]: 6012
% 0.19/0.51 % (28168)Time elapsed: 0.104 s
% 0.19/0.51 % (28168)Instructions burned: 9 (million)
% 0.19/0.51 % (28168)------------------------------
% 0.19/0.51 % (28168)------------------------------
% 0.19/0.51 % (28153)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52 % (28150)First to succeed.
% 0.19/0.52 % (28179)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52 % (28162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28162)Termination reason: Unknown
% 0.19/0.52 % (28162)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28162)Memory used [KB]: 5884
% 0.19/0.52 % (28162)Time elapsed: 0.117 s
% 0.19/0.52 % (28162)Instructions burned: 5 (million)
% 0.19/0.52 % (28162)------------------------------
% 0.19/0.52 % (28162)------------------------------
% 0.19/0.52 % (28164)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (28151)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (28166)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (28155)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (28161)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53 % (28150)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (28150)------------------------------
% 0.19/0.53 % (28150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28150)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (28150)Memory used [KB]: 6268
% 0.19/0.53 % (28150)Time elapsed: 0.133 s
% 0.19/0.53 % (28150)Instructions burned: 32 (million)
% 0.19/0.53 % (28150)------------------------------
% 0.19/0.53 % (28150)------------------------------
% 0.19/0.53 % (28146)Success in time 0.178 s
%------------------------------------------------------------------------------