TSTP Solution File: GRP226-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP226-1 : 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 : n011.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 16:20:57 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 44
% Syntax : Number of formulae : 179 ( 14 unt; 0 def)
% Number of atoms : 576 ( 205 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 773 ( 376 ~; 377 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f685,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f48,f57,f58,f67,f76,f77,f82,f83,f84,f85,f86,f87,f88,f89,f97,f98,f99,f100,f105,f109,f110,f111,f112,f128,f133,f167,f205,f283,f339,f507,f591,f645,f684]) ).
fof(f684,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_16
| spl3_17 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_16
| spl3_17 ),
inference(trivial_inequality_removal,[],[f682]) ).
fof(f682,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_16
| spl3_17 ),
inference(superposition,[],[f652,f278]) ).
fof(f278,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f260,f271]) ).
fof(f271,plain,
! [X6] : inverse(inverse(X6)) = X6,
inference(forward_demodulation,[],[f269,f244]) ).
fof(f244,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f178,f177]) ).
fof(f177,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f141,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f141,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f136,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f136,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f178,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f141,f141]) ).
fof(f269,plain,
! [X6] : multiply(X6,identity) = inverse(inverse(X6)),
inference(superposition,[],[f178,f244]) ).
fof(f260,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f244,f234]) ).
fof(f234,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f141,f177]) ).
fof(f652,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_16
| spl3_17 ),
inference(forward_demodulation,[],[f651,f278]) ).
fof(f651,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_16
| spl3_17 ),
inference(forward_demodulation,[],[f127,f606]) ).
fof(f606,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_16 ),
inference(backward_demodulation,[],[f565,f122]) ).
fof(f122,plain,
( identity = sk_c7
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl3_16
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f565,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f558,f56]) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f558,plain,
( inverse(sk_c4) = sk_c6
| ~ spl3_1
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f35,f557]) ).
fof(f557,plain,
( sk_c4 = sk_c5
| ~ spl3_1
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f556,f549]) ).
fof(f549,plain,
( sk_c4 = multiply(sk_c7,sk_c5)
| ~ spl3_1
| ~ spl3_8 ),
inference(forward_demodulation,[],[f541,f244]) ).
fof(f541,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c4,identity)
| ~ spl3_1
| ~ spl3_8 ),
inference(superposition,[],[f495,f354]) ).
fof(f354,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl3_1 ),
inference(superposition,[],[f2,f35]) ).
fof(f495,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl3_8 ),
inference(superposition,[],[f3,f66]) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f556,plain,
( sk_c5 = multiply(sk_c7,sk_c5)
| ~ spl3_1
| ~ spl3_9 ),
inference(forward_demodulation,[],[f550,f244]) ).
fof(f550,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c5,identity)
| ~ spl3_1
| ~ spl3_9 ),
inference(superposition,[],[f498,f354]) ).
fof(f498,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl3_9 ),
inference(superposition,[],[f3,f71]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_9
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f35,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_1
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f127,plain,
( sk_c6 != inverse(inverse(sk_c6))
| spl3_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl3_17
<=> sk_c6 = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f645,plain,
( ~ spl3_16
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_15
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f644,f121,f107,f69,f64,f54,f33,f121]) ).
fof(f107,plain,
( spl3_15
<=> ! [X5] :
( sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f644,plain,
( identity != sk_c7
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f517,f606]) ).
fof(f517,plain,
( sk_c7 != sk_c6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f516,f244]) ).
fof(f516,plain,
( sk_c6 != multiply(sk_c7,identity)
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f515]) ).
fof(f515,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c7,identity)
| ~ spl3_15 ),
inference(forward_demodulation,[],[f513,f271]) ).
fof(f513,plain,
( sk_c7 != inverse(inverse(sk_c7))
| sk_c6 != multiply(sk_c7,identity)
| ~ spl3_15 ),
inference(superposition,[],[f108,f2]) ).
fof(f108,plain,
( ! [X5] :
( sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f591,plain,
( spl3_16
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f590,f69,f64,f54,f33,f121]) ).
fof(f590,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f582,f278]) ).
fof(f582,plain,
( sk_c7 = inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f56,f581]) ).
fof(f581,plain,
( identity = sk_c4
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f564,f461]) ).
fof(f461,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl3_6 ),
inference(superposition,[],[f2,f56]) ).
fof(f564,plain,
( sk_c4 = multiply(sk_c7,sk_c4)
| ~ spl3_1
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f549,f557]) ).
fof(f507,plain,
( ~ spl3_6
| ~ spl3_8
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f505,f95,f64,f54]) ).
fof(f95,plain,
( spl3_13
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f505,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl3_8
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f503]) ).
fof(f503,plain,
( sk_c7 != inverse(sk_c4)
| sk_c7 != sk_c7
| ~ spl3_8
| ~ spl3_13 ),
inference(superposition,[],[f96,f66]) ).
fof(f96,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f339,plain,
( ~ spl3_2
| ~ spl3_5
| spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f337,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f335,f278]) ).
fof(f335,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f306,f330]) ).
fof(f330,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_5
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f244,f211]) ).
fof(f211,plain,
( identity = multiply(sk_c1,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f157,f122]) ).
fof(f157,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f52,f155]) ).
fof(f155,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f75,f152]) ).
fof(f152,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl3_2
| ~ spl3_11 ),
inference(superposition,[],[f147,f39]) ).
fof(f39,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_2
<=> sk_c3 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f147,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl3_11 ),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f146,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl3_11 ),
inference(superposition,[],[f3,f114]) ).
fof(f114,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl3_11 ),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl3_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f75,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_10
<=> sk_c6 = multiply(sk_c7,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_5
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f306,plain,
( identity != inverse(sk_c1)
| spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f61,f122]) ).
fof(f61,plain,
( inverse(sk_c1) != sk_c7
| spl3_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_7
<=> inverse(sk_c1) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f283,plain,
( ~ spl3_2
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl3_2
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f280,plain,
( identity != identity
| identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f256,f221]) ).
fof(f221,plain,
( identity = inverse(identity)
| ~ spl3_7
| ~ spl3_16 ),
inference(backward_demodulation,[],[f207,f219]) ).
fof(f219,plain,
( identity = sk_c1
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f217,f2]) ).
fof(f217,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_7
| ~ spl3_16 ),
inference(backward_demodulation,[],[f182,f122]) ).
fof(f182,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_7 ),
inference(superposition,[],[f141,f113]) ).
fof(f113,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_7 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( inverse(sk_c1) = sk_c7
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f207,plain,
( identity = inverse(sk_c1)
| ~ spl3_7
| ~ spl3_16 ),
inference(backward_demodulation,[],[f62,f122]) ).
fof(f256,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f254,f1]) ).
fof(f254,plain,
( ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f218,f244]) ).
fof(f218,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f215,f122]) ).
fof(f215,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(sk_c7,multiply(X5,sk_c7)) )
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f168,f122]) ).
fof(f168,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,multiply(X5,sk_c7)) )
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f108,f155]) ).
fof(f205,plain,
( spl3_16
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f204,f79,f73,f60,f50,f37,f121]) ).
fof(f204,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f195,f203]) ).
fof(f203,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_11 ),
inference(forward_demodulation,[],[f184,f2]) ).
fof(f184,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_11 ),
inference(superposition,[],[f141,f152]) ).
fof(f195,plain,
( sk_c7 = sk_c3
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f193,f157]) ).
fof(f193,plain,
( sk_c3 = multiply(sk_c1,sk_c7)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f39,f189]) ).
fof(f189,plain,
( sk_c1 = sk_c2
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f185,f182]) ).
fof(f185,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_11 ),
inference(superposition,[],[f141,f114]) ).
fof(f167,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(trivial_inequality_removal,[],[f165]) ).
fof(f165,plain,
( sk_c7 != sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f119,f155]) ).
fof(f119,plain,
( sk_c7 != sk_c6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7 ),
inference(forward_demodulation,[],[f118,f62]) ).
fof(f118,plain,
( inverse(sk_c1) != sk_c6
| ~ spl3_3
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
( sk_c7 != sk_c7
| inverse(sk_c1) != sk_c6
| ~ spl3_3
| ~ spl3_5 ),
inference(superposition,[],[f43,f52]) ).
fof(f43,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_3
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f133,plain,
( ~ spl3_7
| ~ spl3_5
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f132,f95,f50,f60]) ).
fof(f132,plain,
( inverse(sk_c1) != sk_c7
| ~ spl3_5
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f131]) ).
fof(f131,plain,
( inverse(sk_c1) != sk_c7
| sk_c7 != sk_c7
| ~ spl3_5
| ~ spl3_13 ),
inference(superposition,[],[f96,f52]) ).
fof(f128,plain,
( ~ spl3_16
| ~ spl3_17
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f116,f42,f125,f121]) ).
fof(f116,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != sk_c7
| ~ spl3_3 ),
inference(superposition,[],[f43,f2]) ).
fof(f112,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f6,f60,f69]) ).
fof(f6,axiom,
( inverse(sk_c1) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f111,plain,
( spl3_9
| spl3_11 ),
inference(avatar_split_clause,[],[f22,f79,f69]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f110,plain,
( spl3_5
| spl3_9 ),
inference(avatar_split_clause,[],[f10,f69,f50]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f109,plain,
( ~ spl3_4
| ~ spl3_14
| ~ spl3_12
| spl3_15 ),
inference(avatar_split_clause,[],[f31,f107,f91,f102,f45]) ).
fof(f45,plain,
( spl3_4
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f102,plain,
( spl3_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f91,plain,
( spl3_12
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f31,plain,
! [X5] :
( sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| ~ sP1
| ~ sP0
| ~ sP2
| sk_c7 != inverse(X5) ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X7] :
( sP2
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f29,plain,
! [X7,X5] :
( sk_c6 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f27,f28_D]) ).
fof(f28,plain,
! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6)
| sP1 ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f27,plain,
! [X6,X7,X5] :
( sk_c6 != inverse(X7)
| sk_c7 != multiply(X6,sk_c6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f25,f26_D]) ).
fof(f26,plain,
! [X3] :
( sk_c7 != inverse(X3)
| sP0
| sk_c7 != multiply(X3,sk_c6) ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f25,plain,
! [X3,X6,X7,X5] :
( sk_c6 != inverse(X7)
| sk_c7 != multiply(X6,sk_c6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != inverse(X7)
| sk_c7 != multiply(X6,sk_c6)
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != multiply(sk_c7,X4)
| multiply(X5,sk_c7) != X4
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f105,plain,
( spl3_14
| spl3_13 ),
inference(avatar_split_clause,[],[f26,f95,f102]) ).
fof(f100,plain,
( spl3_11
| spl3_1 ),
inference(avatar_split_clause,[],[f23,f33,f79]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f99,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f12,f54,f73]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f98,plain,
( spl3_9
| spl3_2 ),
inference(avatar_split_clause,[],[f18,f37,f69]) ).
fof(f18,axiom,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f97,plain,
( spl3_12
| spl3_13 ),
inference(avatar_split_clause,[],[f28,f95,f91]) ).
fof(f89,plain,
( spl3_1
| spl3_10 ),
inference(avatar_split_clause,[],[f15,f73,f33]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f88,plain,
( spl3_6
| spl3_11 ),
inference(avatar_split_clause,[],[f20,f79,f54]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f87,plain,
( spl3_5
| spl3_8 ),
inference(avatar_split_clause,[],[f9,f64,f50]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f86,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f17,f64,f37]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f85,plain,
( spl3_7
| spl3_6 ),
inference(avatar_split_clause,[],[f4,f54,f60]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f84,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f16,f37,f54]) ).
fof(f16,axiom,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f83,plain,
( spl3_1
| spl3_7 ),
inference(avatar_split_clause,[],[f7,f60,f33]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c7
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f82,plain,
( spl3_8
| spl3_11 ),
inference(avatar_split_clause,[],[f21,f79,f64]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f77,plain,
( spl3_10
| spl3_8 ),
inference(avatar_split_clause,[],[f13,f64,f73]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f76,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f14,f73,f69]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f67,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f5,f64,f60]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f58,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f11,f33,f50]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f57,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f8,f54,f50]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f48,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f30,f45,f42]) ).
fof(f40,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f19,f37,f33]) ).
fof(f19,axiom,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP226-1 : 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
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:18:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 % (10973)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)
% 0.20/0.48 % (10989)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48 % (10981)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (10976)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)
% 0.20/0.51 % (10994)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (10986)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (10974)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)
% 0.20/0.52 % (10981)First to succeed.
% 0.20/0.52 % (10971)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (10978)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (10984)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (10972)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)
% 0.20/0.52 % (10992)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (10981)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (10981)------------------------------
% 0.20/0.52 % (10981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10981)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (10981)Memory used [KB]: 5756
% 0.20/0.52 % (10981)Time elapsed: 0.130 s
% 0.20/0.52 % (10981)Instructions burned: 19 (million)
% 0.20/0.52 % (10981)------------------------------
% 0.20/0.52 % (10981)------------------------------
% 0.20/0.52 % (10969)Success in time 0.168 s
%------------------------------------------------------------------------------