TSTP Solution File: GRP291-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP291-1 : 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 : n017.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 16:21:11 EDT 2022
% Result : Unsatisfiable 1.61s 0.57s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 52
% Syntax : Number of formulae : 261 ( 6 unt; 0 def)
% Number of atoms : 1115 ( 292 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1697 ( 843 ~; 831 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f892,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f62,f63,f72,f77,f82,f83,f84,f85,f86,f87,f88,f89,f97,f98,f106,f107,f108,f109,f117,f121,f122,f123,f124,f125,f126,f127,f128,f341,f357,f370,f383,f512,f603,f628,f654,f657,f675,f727,f758,f778,f792,f891]) ).
fof(f891,plain,
( ~ spl3_2
| ~ spl3_8
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f890,f119,f69,f41]) ).
fof(f41,plain,
( spl3_2
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f69,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f119,plain,
( spl3_17
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f890,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl3_8
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f889]) ).
fof(f889,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl3_8
| ~ spl3_17 ),
inference(superposition,[],[f120,f71]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f120,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f792,plain,
( ~ spl3_1
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f791,plain,
( $false
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f790]) ).
fof(f790,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(superposition,[],[f788,f682]) ).
fof(f682,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f658,f676]) ).
fof(f676,plain,
( identity = sk_c1
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f665,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f665,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_19 ),
inference(backward_demodulation,[],[f610,f569]) ).
fof(f569,plain,
( identity = sk_c7
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl3_19
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f610,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_1 ),
inference(superposition,[],[f138,f386]) ).
fof(f386,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_1
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f138,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f133,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f658,plain,
( identity = inverse(sk_c1)
| ~ spl3_1
| ~ spl3_19 ),
inference(backward_demodulation,[],[f39,f569]) ).
fof(f788,plain,
( identity != inverse(identity)
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f782]) ).
fof(f782,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(superposition,[],[f781,f1]) ).
fof(f781,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f780,f569]) ).
fof(f780,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl3_17
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f779,f569]) ).
fof(f779,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f120,f606]) ).
fof(f606,plain,
( identity = sk_c6
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f605,plain,
( spl3_23
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f778,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f776]) ).
fof(f776,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(superposition,[],[f774,f682]) ).
fof(f774,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f768]) ).
fof(f768,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(superposition,[],[f730,f1]) ).
fof(f730,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f729,f606]) ).
fof(f729,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f728,f606]) ).
fof(f728,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f105,f662]) ).
fof(f662,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_19 ),
inference(backward_demodulation,[],[f398,f569]) ).
fof(f398,plain,
( sk_c7 = sk_c5
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9 ),
inference(backward_demodulation,[],[f76,f397]) ).
fof(f397,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_1
| ~ spl3_5 ),
inference(forward_demodulation,[],[f394,f39]) ).
fof(f394,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_5 ),
inference(superposition,[],[f138,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_5
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_9
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f105,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl3_14
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f758,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f756]) ).
fof(f756,plain,
( identity != identity
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(superposition,[],[f740,f682]) ).
fof(f740,plain,
( identity != inverse(identity)
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(backward_demodulation,[],[f659,f731]) ).
fof(f731,plain,
( identity = sk_c3
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(superposition,[],[f684,f2]) ).
fof(f684,plain,
( ! [X1] : multiply(inverse(sk_c3),X1) = X1
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f669,f1]) ).
fof(f669,plain,
( ! [X1] : multiply(inverse(sk_c3),multiply(identity,X1)) = multiply(identity,X1)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(backward_demodulation,[],[f626,f569]) ).
fof(f626,plain,
( ! [X1] : multiply(inverse(sk_c3),multiply(sk_c7,X1)) = multiply(sk_c7,X1)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f172,f624]) ).
fof(f624,plain,
( ! [X2] : multiply(sk_c7,X2) = multiply(sk_c6,X2)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f395,f622]) ).
fof(f622,plain,
( ! [X2] : multiply(sk_c7,X2) = multiply(sk_c1,multiply(sk_c7,X2))
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f419,f618]) ).
fof(f618,plain,
( sk_c1 = sk_c2
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(forward_demodulation,[],[f616,f610]) ).
fof(f616,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(superposition,[],[f138,f409]) ).
fof(f409,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(backward_demodulation,[],[f390,f398]) ).
fof(f390,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl3_3 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_3
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f419,plain,
( ! [X2] : multiply(sk_c7,X2) = multiply(sk_c2,multiply(sk_c7,X2))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f3,f401]) ).
fof(f401,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f67,f398]) ).
fof(f67,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_7
<=> sk_c7 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f395,plain,
( ! [X2] : multiply(sk_c1,multiply(sk_c7,X2)) = multiply(sk_c6,X2)
| ~ spl3_5 ),
inference(superposition,[],[f3,f57]) ).
fof(f172,plain,
( ! [X1] : multiply(inverse(sk_c3),multiply(sk_c7,X1)) = multiply(sk_c6,X1)
| ~ spl3_8 ),
inference(superposition,[],[f138,f135]) ).
fof(f135,plain,
( ! [X9] : multiply(sk_c3,multiply(sk_c6,X9)) = multiply(sk_c7,X9)
| ~ spl3_8 ),
inference(superposition,[],[f3,f71]) ).
fof(f659,plain,
( identity != inverse(sk_c3)
| spl3_2
| ~ spl3_19 ),
inference(backward_demodulation,[],[f42,f569]) ).
fof(f42,plain,
( sk_c7 != inverse(sk_c3)
| spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f727,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f725]) ).
fof(f725,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(superposition,[],[f724,f682]) ).
fof(f724,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f723,f682]) ).
fof(f723,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f715]) ).
fof(f715,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(superposition,[],[f690,f2]) ).
fof(f690,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f689,f569]) ).
fof(f689,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f688,f662]) ).
fof(f688,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f96,f662]) ).
fof(f96,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_12
<=> ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f675,plain,
( spl3_23
| ~ spl3_19
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f664,f594,f568,f605]) ).
fof(f594,plain,
( spl3_21
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f664,plain,
( identity = sk_c6
| ~ spl3_19
| ~ spl3_21 ),
inference(backward_demodulation,[],[f595,f569]) ).
fof(f595,plain,
( sk_c7 = sk_c6
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f657,plain,
( spl3_19
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f656,f74,f65,f55,f46,f37,f568]) ).
fof(f656,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f651,f2]) ).
fof(f651,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f138,f421]) ).
fof(f421,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f418,f399]) ).
fof(f399,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(backward_demodulation,[],[f48,f398]) ).
fof(f418,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f138,f401]) ).
fof(f654,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f649]) ).
fof(f649,plain,
( sk_c7 != sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_21 ),
inference(superposition,[],[f637,f421]) ).
fof(f637,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_5
| spl3_6
| ~ spl3_9
| ~ spl3_21 ),
inference(backward_demodulation,[],[f400,f595]) ).
fof(f400,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_5
| spl3_6
| ~ spl3_9 ),
inference(backward_demodulation,[],[f60,f398]) ).
fof(f60,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl3_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl3_6
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f628,plain,
( spl3_21
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f627,f74,f65,f55,f46,f37,f594]) ).
fof(f627,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f57,f621]) ).
fof(f621,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f401,f618]) ).
fof(f603,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f588,f115,f55,f37]) ).
fof(f115,plain,
( spl3_16
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f588,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl3_5
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f586]) ).
fof(f586,plain,
( sk_c7 != inverse(sk_c1)
| sk_c6 != sk_c6
| ~ spl3_5
| ~ spl3_16 ),
inference(superposition,[],[f116,f57]) ).
fof(f116,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f512,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f510]) ).
fof(f510,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(superposition,[],[f465,f1]) ).
fof(f465,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(backward_demodulation,[],[f434,f440]) ).
fof(f440,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(forward_demodulation,[],[f439,f2]) ).
fof(f439,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(backward_demodulation,[],[f406,f422]) ).
fof(f422,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f143,f421]) ).
fof(f143,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_8 ),
inference(superposition,[],[f140,f71]) ).
fof(f140,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl3_2 ),
inference(forward_demodulation,[],[f139,f1]) ).
fof(f139,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl3_2 ),
inference(superposition,[],[f3,f129]) ).
fof(f129,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl3_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f406,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_9
| ~ spl3_10 ),
inference(backward_demodulation,[],[f252,f398]) ).
fof(f252,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_4
| ~ spl3_10 ),
inference(superposition,[],[f138,f160]) ).
fof(f160,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_10 ),
inference(forward_demodulation,[],[f157,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_4
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f157,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_10 ),
inference(superposition,[],[f138,f81]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl3_10
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f434,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f400,f422]) ).
fof(f383,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(superposition,[],[f379,f311]) ).
fof(f311,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f298,f308]) ).
fof(f308,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f301,f2]) ).
fof(f301,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f152,f297]) ).
fof(f297,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f294,f2]) ).
fof(f294,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f266,f292]) ).
fof(f292,plain,
( sk_c7 = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f268,f286]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f285,f138]) ).
fof(f285,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f271,f283]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f275,f272]) ).
fof(f272,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f171,f254]) ).
fof(f254,plain,
( sk_c7 = sk_c6
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(forward_demodulation,[],[f252,f154]) ).
fof(f154,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_6 ),
inference(superposition,[],[f138,f61]) ).
fof(f61,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f171,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl3_2
| ~ spl3_8 ),
inference(superposition,[],[f140,f135]) ).
fof(f275,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f181,f254]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl3_4
| ~ spl3_10 ),
inference(forward_demodulation,[],[f179,f52]) ).
fof(f179,plain,
( ! [X0] : multiply(inverse(sk_c4),multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl3_10 ),
inference(superposition,[],[f138,f136]) ).
fof(f136,plain,
( ! [X10] : multiply(sk_c4,multiply(sk_c5,X10)) = multiply(sk_c6,X10)
| ~ spl3_10 ),
inference(superposition,[],[f3,f81]) ).
fof(f271,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f164,f254]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
| ~ spl3_6 ),
inference(superposition,[],[f138,f134]) ).
fof(f134,plain,
( ! [X8] : multiply(sk_c5,X8) = multiply(sk_c6,multiply(sk_c7,X8))
| ~ spl3_6 ),
inference(superposition,[],[f3,f61]) ).
fof(f268,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f160,f254]) ).
fof(f266,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10 ),
inference(backward_demodulation,[],[f154,f254]) ).
fof(f152,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_2 ),
inference(superposition,[],[f138,f129]) ).
fof(f298,plain,
( identity = inverse(sk_c3)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f43,f297]) ).
fof(f379,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f374,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(superposition,[],[f373,f1]) ).
fof(f373,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f372,f297]) ).
fof(f372,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f371,f303]) ).
fof(f303,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f254,f297]) ).
fof(f371,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f116,f297]) ).
fof(f370,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f368,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(superposition,[],[f367,f311]) ).
fof(f367,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f366,f311]) ).
fof(f366,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f364]) ).
fof(f364,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(superposition,[],[f360,f2]) ).
fof(f360,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f359,f303]) ).
fof(f359,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f358,f303]) ).
fof(f358,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f105,f306]) ).
fof(f306,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f292,f297]) ).
fof(f357,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f355]) ).
fof(f355,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f354,f311]) ).
fof(f354,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f353,f311]) ).
fof(f353,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f351]) ).
fof(f351,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f344,f2]) ).
fof(f344,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f343,f297]) ).
fof(f343,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f342,f306]) ).
fof(f342,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f96,f306]) ).
fof(f341,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| spl3_9
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| spl3_9
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f339,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| spl3_9
| ~ spl3_10 ),
inference(superposition,[],[f318,f297]) ).
fof(f318,plain,
( identity != sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| spl3_9
| ~ spl3_10 ),
inference(forward_demodulation,[],[f293,f306]) ).
fof(f293,plain,
( sk_c7 != sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| spl3_9
| ~ spl3_10 ),
inference(backward_demodulation,[],[f258,f286]) ).
fof(f258,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_6
| spl3_9
| ~ spl3_10 ),
inference(backward_demodulation,[],[f75,f254]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl3_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f128,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f14,f59,f37]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f127,plain,
( spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f16,f37,f69]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f126,plain,
( spl3_4
| spl3_7 ),
inference(avatar_split_clause,[],[f22,f65,f50]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f125,plain,
( spl3_5
| spl3_8 ),
inference(avatar_split_clause,[],[f11,f69,f55]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f124,plain,
( spl3_7
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f41,f65]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f123,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f5,f74,f41]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f122,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f6,f69,f74]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f121,plain,
( ~ spl3_15
| ~ spl3_9
| spl3_17
| ~ spl3_11
| ~ spl3_6
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f35,f100,f59,f91,f119,f74,f111]) ).
fof(f111,plain,
( spl3_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f91,plain,
( spl3_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f100,plain,
( spl3_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f35,plain,
! [X5] :
( ~ sP1
| sk_c5 != multiply(sk_c6,sk_c7)
| ~ sP2
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f34,plain,
! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5)
| sP2 ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,sk_c5) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f33,plain,
! [X4,X5] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f32,plain,
! [X6] :
( sk_c6 != inverse(X6)
| sP1
| sk_c6 != multiply(X6,sk_c5) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sP0
| sk_c7 != inverse(X3) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f117,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f30,f115,f111]) ).
fof(f109,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f25,f41,f46]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f108,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f19,f65,f59]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f107,plain,
( spl3_7
| spl3_10 ),
inference(avatar_split_clause,[],[f23,f79,f65]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f106,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f32,f104,f100]) ).
fof(f98,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f12,f50,f55]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f97,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f34,f95,f91]) ).
fof(f89,plain,
( spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f17,f37,f50]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f88,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f8,f79,f74]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f87,plain,
( spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f18,f37,f79]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f86,plain,
( spl3_3
| spl3_8 ),
inference(avatar_split_clause,[],[f26,f69,f46]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f85,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f10,f41,f55]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f84,plain,
( spl3_3
| spl3_10 ),
inference(avatar_split_clause,[],[f28,f79,f46]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f83,plain,
( spl3_6
| spl3_9 ),
inference(avatar_split_clause,[],[f4,f74,f59]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f82,plain,
( spl3_5
| spl3_10 ),
inference(avatar_split_clause,[],[f13,f79,f55]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f77,plain,
( spl3_4
| spl3_9 ),
inference(avatar_split_clause,[],[f7,f74,f50]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f72,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f21,f69,f65]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f63,plain,
( spl3_6
| spl3_3 ),
inference(avatar_split_clause,[],[f24,f46,f59]) ).
fof(f24,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f62,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f9,f59,f55]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f53,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f27,f50,f46]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f44,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f41,f37]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP291-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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 21:49:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (3593)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (3614)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (3589)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (3595)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (3609)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (3601)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (3587)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (3585)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (3590)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (3593)Instruction limit reached!
% 0.19/0.51 % (3593)------------------------------
% 0.19/0.51 % (3593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3593)Termination reason: Unknown
% 0.19/0.51 % (3593)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (3593)Memory used [KB]: 5373
% 0.19/0.51 % (3593)Time elapsed: 0.003 s
% 0.19/0.51 % (3593)Instructions burned: 2 (million)
% 0.19/0.51 % (3593)------------------------------
% 0.19/0.51 % (3593)------------------------------
% 0.19/0.51 % (3605)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (3588)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (3600)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (3597)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (3602)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (3591)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.53 % (3611)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (3586)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (3608)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (3594)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (3612)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (3606)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (3596)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (3613)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)
% 1.47/0.54 % (3607)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.54 % (3599)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.54 % (3615)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)
% 1.47/0.54 % (3604)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.54 % (3610)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.54 % (3603)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.54 TRYING [1]
% 1.47/0.54 TRYING [2]
% 1.47/0.55 TRYING [3]
% 1.47/0.55 TRYING [4]
% 1.47/0.55 % (3595)First to succeed.
% 1.61/0.56 % (3592)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.61/0.57 TRYING [5]
% 1.61/0.57 % (3592)Instruction limit reached!
% 1.61/0.57 % (3592)------------------------------
% 1.61/0.57 % (3592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (3589)Instruction limit reached!
% 1.61/0.57 % (3589)------------------------------
% 1.61/0.57 % (3589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (3595)Refutation found. Thanks to Tanya!
% 1.61/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.61/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57 % (3595)------------------------------
% 1.61/0.57 % (3595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (3595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (3595)Termination reason: Refutation
% 1.61/0.57
% 1.61/0.57 % (3595)Memory used [KB]: 5884
% 1.61/0.57 % (3595)Time elapsed: 0.129 s
% 1.61/0.57 % (3595)Instructions burned: 29 (million)
% 1.61/0.57 % (3595)------------------------------
% 1.61/0.57 % (3595)------------------------------
% 1.61/0.57 % (3581)Success in time 0.216 s
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