TSTP Solution File: GRP367-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP367-1 : 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 : n012.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 16:21:26 EDT 2022
% Result : Unsatisfiable 1.85s 0.73s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 42
% Syntax : Number of formulae : 234 ( 15 unt; 0 def)
% Number of atoms : 800 ( 246 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1104 ( 538 ~; 547 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f712,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f53,f62,f71,f88,f90,f91,f92,f93,f94,f95,f96,f97,f98,f100,f104,f106,f119,f120,f121,f136,f196,f217,f229,f275,f328,f409,f411,f471,f544,f596,f599,f613,f629,f648,f658,f691,f711]) ).
fof(f711,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f702,f362]) ).
fof(f362,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f348,f347]) ).
fof(f347,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f333,f181]) ).
fof(f181,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f165,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f165,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f157,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f157,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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f333,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f182,f181]) ).
fof(f182,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f165,f165]) ).
fof(f348,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f333,f300]) ).
fof(f300,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f165,f181]) ).
fof(f702,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f699]) ).
fof(f699,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f694,f1]) ).
fof(f694,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f693,f148]) ).
fof(f148,plain,
( identity = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl0_20
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f693,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f692,f148]) ).
fof(f692,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f112,f644]) ).
fof(f644,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f577,f637]) ).
fof(f637,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f636,f148]) ).
fof(f636,plain,
( sk_c6 = sk_c8
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f143,f577]) ).
fof(f143,plain,
( sk_c8 = sk_c7
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_19
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f577,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f547,f333]) ).
fof(f547,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f57,f148]) ).
fof(f57,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_5
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f112,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_13
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f691,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f685,f362]) ).
fof(f685,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f679]) ).
fof(f679,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f665,f1]) ).
fof(f665,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f664,f644]) ).
fof(f664,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| sk_c7 != inverse(X7) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f663,f644]) ).
fof(f663,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| sk_c7 != inverse(X7) )
| ~ spl0_5
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f118,f637]) ).
fof(f118,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_15
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f658,plain,
( ~ spl0_5
| spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f657,plain,
( $false
| ~ spl0_5
| spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f554,f637]) ).
fof(f554,plain,
( identity != sk_c6
| spl0_17
| ~ spl0_20 ),
inference(backward_demodulation,[],[f135,f148]) ).
fof(f135,plain,
( sk_c6 != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_17
<=> sk_c6 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f648,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f646,f1]) ).
fof(f646,plain,
( identity != multiply(identity,identity)
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f610,f637]) ).
fof(f610,plain,
( identity != multiply(identity,sk_c6)
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f603,f577]) ).
fof(f603,plain,
( identity != multiply(identity,sk_c7)
| spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f602,f148]) ).
fof(f602,plain,
( sk_c8 != multiply(identity,sk_c7)
| spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f51,f565]) ).
fof(f565,plain,
( identity = sk_c4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f561,f2]) ).
fof(f561,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f183,f148]) ).
fof(f183,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_8 ),
inference(superposition,[],[f165,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f51,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f629,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| spl0_16
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f627,f542]) ).
fof(f542,plain,
( identity != sk_c6
| spl0_16 ),
inference(forward_demodulation,[],[f131,f362]) ).
fof(f131,plain,
( sk_c6 != inverse(identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_16
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f627,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f626,f1]) ).
fof(f626,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_20 ),
inference(backward_demodulation,[],[f608,f625]) ).
fof(f625,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_20 ),
inference(backward_demodulation,[],[f551,f624]) ).
fof(f624,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f619,f1]) ).
fof(f619,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f336,f549]) ).
fof(f549,plain,
( identity = inverse(sk_c1)
| ~ spl0_7
| ~ spl0_20 ),
inference(backward_demodulation,[],[f66,f148]) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f336,plain,
! [X6,X5] : multiply(X5,multiply(inverse(X5),X6)) = X6,
inference(superposition,[],[f182,f165]) ).
fof(f551,plain,
( sk_c2 = multiply(sk_c1,identity)
| ~ spl0_9
| ~ spl0_20 ),
inference(backward_demodulation,[],[f77,f148]) ).
fof(f77,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_9
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f608,plain,
( sk_c6 = multiply(identity,sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f545,f577]) ).
fof(f545,plain,
( sk_c7 = multiply(identity,sk_c2)
| ~ spl0_3
| ~ spl0_20 ),
inference(backward_demodulation,[],[f48,f148]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f613,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f611,f333]) ).
fof(f611,plain,
( sk_c6 != multiply(sk_c6,identity)
| ~ spl0_5
| spl0_6
| ~ spl0_20 ),
inference(backward_demodulation,[],[f604,f577]) ).
fof(f604,plain,
( sk_c6 != multiply(sk_c7,identity)
| spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f60,f148]) ).
fof(f60,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f599,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f597,f555]) ).
fof(f555,plain,
( identity != sk_c7
| spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f144,f148]) ).
fof(f144,plain,
( sk_c8 != sk_c7
| spl0_19 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f597,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f559,f1]) ).
fof(f559,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f173,f148]) ).
fof(f173,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f166,f52]) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f166,plain,
( ! [X8] : multiply(sk_c8,multiply(sk_c4,X8)) = X8
| ~ spl0_8 ),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f158,plain,
( ! [X8] : multiply(sk_c8,multiply(sk_c4,X8)) = multiply(identity,X8)
| ~ spl0_8 ),
inference(superposition,[],[f3,f124]) ).
fof(f596,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| spl0_16
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f594,f542]) ).
fof(f594,plain,
( identity = sk_c6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f548,f588]) ).
fof(f588,plain,
( ! [X9] : multiply(sk_c7,X9) = X9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f573,f585]) ).
fof(f585,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f584,f1]) ).
fof(f584,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,X0)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f583,f1]) ).
fof(f583,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(identity,multiply(identity,X0))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f560,f573]) ).
fof(f560,plain,
( ! [X0] : multiply(identity,multiply(identity,X0)) = multiply(sk_c7,X0)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(backward_demodulation,[],[f176,f148]) ).
fof(f176,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f3,f173]) ).
fof(f573,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(sk_c7,X9)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f556,f1]) ).
fof(f556,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(sk_c7,multiply(identity,X9))
| ~ spl0_6
| ~ spl0_20 ),
inference(backward_demodulation,[],[f159,f148]) ).
fof(f159,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(sk_c7,multiply(sk_c8,X9))
| ~ spl0_6 ),
inference(superposition,[],[f3,f61]) ).
fof(f61,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f548,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl0_6
| ~ spl0_20 ),
inference(backward_demodulation,[],[f61,f148]) ).
fof(f544,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f543,f85,f37,f147]) ).
fof(f37,plain,
( spl0_1
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f85,plain,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f543,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f39,f531]) ).
fof(f531,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_11 ),
inference(superposition,[],[f339,f87]) ).
fof(f87,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f339,plain,
! [X2] : identity = multiply(X2,inverse(X2)),
inference(superposition,[],[f2,f182]) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f471,plain,
( ~ spl0_5
| ~ spl0_16
| spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl0_5
| ~ spl0_16
| spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f469,f148]) ).
fof(f469,plain,
( identity != sk_c8
| ~ spl0_5
| ~ spl0_16
| spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f144,f440]) ).
fof(f440,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(backward_demodulation,[],[f415,f436]) ).
fof(f436,plain,
( identity = sk_c6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f130,f362]) ).
fof(f130,plain,
( sk_c6 = inverse(identity)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f415,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f414,f333]) ).
fof(f414,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f57,f148]) ).
fof(f411,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f401,f282]) ).
fof(f282,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f255,f260]) ).
fof(f260,plain,
( identity = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f259,f2]) ).
fof(f259,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f236,f243]) ).
fof(f243,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f240,f2]) ).
fof(f240,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f214,f134]) ).
fof(f134,plain,
( sk_c6 = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f214,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_6
| ~ spl0_19 ),
inference(backward_demodulation,[],[f187,f143]) ).
fof(f187,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f165,f61]) ).
fof(f236,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[],[f183,f134]) ).
fof(f255,plain,
( identity = inverse(sk_c4)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f232,f243]) ).
fof(f232,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[],[f70,f134]) ).
fof(f401,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f398]) ).
fof(f398,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f343,f333]) ).
fof(f343,plain,
( ! [X4] :
( identity != multiply(identity,X4)
| identity != inverse(X4) )
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f331,f333]) ).
fof(f331,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f330,f252]) ).
fof(f252,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f234,f243]) ).
fof(f234,plain,
( sk_c6 = sk_c7
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f143,f134]) ).
fof(f330,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(identity,multiply(X4,identity)) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f329,f148]) ).
fof(f329,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| identity != inverse(X4) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f115,f148]) ).
fof(f115,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_14
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f409,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f408,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f402,f347]) ).
fof(f402,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f343,f339]) ).
fof(f328,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f326,f282]) ).
fof(f326,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f316,f282]) ).
fof(f316,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f281,f2]) ).
fof(f281,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f280,f148]) ).
fof(f280,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f279,f148]) ).
fof(f279,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f112,f252]) ).
fof(f275,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f273,f1]) ).
fof(f273,plain,
( identity != multiply(identity,identity)
| spl0_5
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(backward_demodulation,[],[f272,f148]) ).
fof(f272,plain,
( identity != multiply(identity,sk_c8)
| spl0_5
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f271,f243]) ).
fof(f271,plain,
( identity != multiply(sk_c6,sk_c8)
| spl0_5
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f56,f252]) ).
fof(f56,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f229,plain,
( spl0_17
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f228,f142,f68,f59,f50,f133]) ).
fof(f228,plain,
( sk_c6 = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_19 ),
inference(backward_demodulation,[],[f210,f201]) ).
fof(f201,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_19 ),
inference(backward_demodulation,[],[f61,f143]) ).
fof(f210,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(backward_demodulation,[],[f173,f143]) ).
fof(f217,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f216,f142,f68,f50,f147]) ).
fof(f216,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f212,f2]) ).
fof(f212,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(backward_demodulation,[],[f185,f143]) ).
fof(f185,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f165,f173]) ).
fof(f196,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_10
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f195,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10
| spl0_19 ),
inference(subsumption_resolution,[],[f194,f144]) ).
fof(f194,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f188,f187]) ).
fof(f188,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f165,f169]) ).
fof(f169,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f164,f82]) ).
fof(f82,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f164,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = X10
| ~ spl0_2 ),
inference(forward_demodulation,[],[f160,f1]) ).
fof(f160,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = multiply(identity,X10)
| ~ spl0_2 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f136,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f125,f108,f133,f129]) ).
fof(f108,plain,
( spl0_12
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f125,plain,
( sk_c6 != sk_c8
| sk_c6 != inverse(identity)
| ~ spl0_12 ),
inference(superposition,[],[f109,f1]) ).
fof(f109,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f121,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f50,f37]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f120,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f25,f68,f37]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f119,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_5
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f117,f114,f111,f55,f108,f59]) ).
fof(f35,plain,
! [X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X6)
| multiply(sk_c6,sk_c8) != sk_c7
| sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c8) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(X4,sk_c8) != X3
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c8) != sk_c7
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f106,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f16,f75,f50]) ).
fof(f16,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f104,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f59,f37]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f100,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f85,f68]) ).
fof(f30,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f98,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f68,f75]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f97,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f50,f85]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f96,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f5,f55,f68]) ).
fof(f5,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f95,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f33,f85,f80]) ).
fof(f33,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f94,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f59,f85]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f93,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f64,f50]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f92,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f68,f46]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f91,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f55,f50]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f90,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f80,f37]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f88,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f41,f85]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f71,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f20,f68,f64]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f62,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f59,f55]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f50,f46]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f27,f41,f37]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP367-1 : 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 : n012.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 22:25:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ipcrm: permission denied for id (737968128)
% 0.13/0.36 ipcrm: permission denied for id (738066435)
% 0.13/0.36 ipcrm: permission denied for id (738099205)
% 0.13/0.36 ipcrm: permission denied for id (738164743)
% 0.13/0.36 ipcrm: permission denied for id (738230282)
% 0.13/0.37 ipcrm: permission denied for id (738328590)
% 0.19/0.38 ipcrm: permission denied for id (738394131)
% 0.19/0.38 ipcrm: permission denied for id (738459669)
% 0.19/0.38 ipcrm: permission denied for id (738525208)
% 0.19/0.38 ipcrm: permission denied for id (738557978)
% 0.19/0.39 ipcrm: permission denied for id (738590748)
% 0.19/0.39 ipcrm: permission denied for id (738656288)
% 0.19/0.40 ipcrm: permission denied for id (738885673)
% 0.19/0.40 ipcrm: permission denied for id (738918442)
% 0.19/0.40 ipcrm: permission denied for id (738951211)
% 0.19/0.41 ipcrm: permission denied for id (738983982)
% 0.19/0.41 ipcrm: permission denied for id (739016752)
% 0.19/0.41 ipcrm: permission denied for id (739147829)
% 0.19/0.42 ipcrm: permission denied for id (739213368)
% 0.19/0.42 ipcrm: permission denied for id (739278906)
% 0.19/0.42 ipcrm: permission denied for id (739311676)
% 0.19/0.42 ipcrm: permission denied for id (739344445)
% 0.19/0.43 ipcrm: permission denied for id (739409983)
% 0.19/0.43 ipcrm: permission denied for id (739442752)
% 0.19/0.44 ipcrm: permission denied for id (739606599)
% 0.19/0.44 ipcrm: permission denied for id (739672138)
% 0.19/0.44 ipcrm: permission denied for id (739704908)
% 0.19/0.45 ipcrm: permission denied for id (739803217)
% 0.19/0.45 ipcrm: permission denied for id (739835988)
% 0.19/0.45 ipcrm: permission denied for id (739868757)
% 0.19/0.46 ipcrm: permission denied for id (739934296)
% 0.19/0.46 ipcrm: permission denied for id (739967065)
% 0.19/0.46 ipcrm: permission denied for id (740032604)
% 0.19/0.46 ipcrm: permission denied for id (740065373)
% 0.19/0.46 ipcrm: permission denied for id (740098142)
% 0.19/0.47 ipcrm: permission denied for id (740163680)
% 0.19/0.47 ipcrm: permission denied for id (740196450)
% 0.19/0.47 ipcrm: permission denied for id (740229222)
% 0.19/0.48 ipcrm: permission denied for id (740327532)
% 0.19/0.48 ipcrm: permission denied for id (740360303)
% 0.19/0.48 ipcrm: permission denied for id (740393072)
% 0.19/0.49 ipcrm: permission denied for id (740458610)
% 0.19/0.49 ipcrm: permission denied for id (740491379)
% 0.19/0.49 ipcrm: permission denied for id (740556918)
% 0.19/0.49 ipcrm: permission denied for id (740589688)
% 0.19/0.50 ipcrm: permission denied for id (740622458)
% 0.19/0.50 ipcrm: permission denied for id (740687997)
% 1.24/0.65 % (27830)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.24/0.66 % (27826)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.24/0.66 % (27829)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.24/0.67 % (27850)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.24/0.67 % (27847)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.24/0.67 % (27834)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.24/0.67 % (27834)Instruction limit reached!
% 1.24/0.67 % (27834)------------------------------
% 1.24/0.67 % (27834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.67 % (27834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.67 % (27834)Termination reason: Unknown
% 1.24/0.67 % (27834)Termination phase: Property scanning
% 1.24/0.67
% 1.24/0.67 % (27834)Memory used [KB]: 895
% 1.24/0.67 % (27834)Time elapsed: 0.002 s
% 1.24/0.67 % (27834)Instructions burned: 2 (million)
% 1.24/0.67 % (27834)------------------------------
% 1.24/0.67 % (27834)------------------------------
% 1.24/0.67 % (27838)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.24/0.67 % (27837)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.45/0.68 % (27839)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.45/0.68 % (27827)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 (2998ds/37Mi)
% 1.45/0.68 % (27835)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 (2998ds/51Mi)
% 1.45/0.68 % (27855)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 (2998ds/355Mi)
% 1.45/0.68 % (27845)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 (2998ds/100Mi)
% 1.45/0.68 % (27853)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 (2998ds/177Mi)
% 1.45/0.68 % (27843)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.45/0.68 % (27836)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.45/0.68 % (27833)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.45/0.69 % (27833)Instruction limit reached!
% 1.45/0.69 % (27833)------------------------------
% 1.45/0.69 % (27833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.69 % (27833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.69 % (27833)Termination reason: Unknown
% 1.45/0.69 % (27833)Termination phase: Saturation
% 1.45/0.69
% 1.45/0.69 % (27833)Memory used [KB]: 5500
% 1.45/0.69 % (27833)Time elapsed: 0.122 s
% 1.45/0.69 % (27833)Instructions burned: 8 (million)
% 1.45/0.69 % (27833)------------------------------
% 1.45/0.69 % (27833)------------------------------
% 1.45/0.69 TRYING [1]
% 1.45/0.69 TRYING [2]
% 1.45/0.69 % (27840)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 (2998ds/68Mi)
% 1.45/0.69 % (27841)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 (2998ds/75Mi)
% 1.45/0.69 TRYING [3]
% 1.45/0.69 % (27844)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.45/0.69 % (27849)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 (2998ds/467Mi)
% 1.45/0.70 % (27848)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 (2998ds/498Mi)
% 1.45/0.70 % (27825)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 (2998ds/191324Mi)
% 1.45/0.70 % (27854)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.45/0.70 TRYING [1]
% 1.45/0.70 TRYING [2]
% 1.45/0.70 % (27851)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.45/0.70 % (27831)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 (2998ds/48Mi)
% 1.45/0.71 % (27826)First to succeed.
% 1.45/0.71 % (27832)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.45/0.71 % (27852)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 (2998ds/68Mi)
% 1.45/0.71 TRYING [1]
% 1.45/0.71 TRYING [4]
% 1.45/0.71 TRYING [2]
% 1.45/0.71 TRYING [3]
% 1.45/0.71 % (27829)Instruction limit reached!
% 1.45/0.71 % (27829)------------------------------
% 1.45/0.71 % (27829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.71 % (27829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.71 % (27829)Termination reason: Unknown
% 1.45/0.71 % (27829)Termination phase: Saturation
% 1.45/0.71
% 1.45/0.71 % (27829)Memory used [KB]: 6396
% 1.45/0.71 % (27829)Time elapsed: 0.153 s
% 1.45/0.71 % (27829)Instructions burned: 51 (million)
% 1.45/0.71 % (27829)------------------------------
% 1.45/0.71 % (27829)------------------------------
% 1.45/0.71 % (27842)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 (2998ds/99Mi)
% 1.45/0.72 TRYING [3]
% 1.85/0.72 % (27847)Also succeeded, but the first one will report.
% 1.85/0.73 % (27826)Refutation found. Thanks to Tanya!
% 1.85/0.73 % SZS status Unsatisfiable for theBenchmark
% 1.85/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.73 % (27826)------------------------------
% 1.85/0.73 % (27826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.73 % (27826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.73 % (27826)Termination reason: Refutation
% 1.85/0.73
% 1.85/0.73 % (27826)Memory used [KB]: 5756
% 1.85/0.73 % (27826)Time elapsed: 0.149 s
% 1.85/0.73 % (27826)Instructions burned: 23 (million)
% 1.85/0.73 % (27826)------------------------------
% 1.85/0.73 % (27826)------------------------------
% 1.85/0.73 % (27691)Success in time 0.376 s
%------------------------------------------------------------------------------