TSTP Solution File: GRP232-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP232-1 : 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 : n021.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 16:20:58 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 168 ( 13 unt; 0 def)
% Number of atoms : 688 ( 212 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1054 ( 534 ~; 508 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f666,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f50,f55,f60,f70,f84,f85,f86,f92,f96,f97,f99,f103,f104,f106,f121,f284,f288,f337,f358,f378,f589,f609,f629,f645,f664]) ).
fof(f664,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f663,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f658,f238]) ).
fof(f238,plain,
identity = inverse(identity),
inference(superposition,[],[f160,f233]) ).
fof(f233,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f137,f160]) ).
fof(f137,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f128,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f128,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f160,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f137,f2]) ).
fof(f658,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f653,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f648,f1]) ).
fof(f648,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f647,f481]) ).
fof(f481,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f54,f460]) ).
fof(f460,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f2,f446]) ).
fof(f446,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f263,f83]) ).
fof(f83,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_10
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f263,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(superposition,[],[f160,f243]) ).
fof(f243,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f161,f160]) ).
fof(f161,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f137,f137]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f647,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f646,f481]) ).
fof(f646,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f494]) ).
fof(f494,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f482,f238]) ).
fof(f482,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f40,f481]) ).
fof(f40,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_1
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f114,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_13
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f645,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f637,f1]) ).
fof(f637,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f635,f238]) ).
fof(f635,plain,
( ! [X4] : identity != multiply(inverse(X4),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f634,f481]) ).
fof(f634,plain,
( ! [X4] : sk_c8 != multiply(inverse(X4),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f633,f494]) ).
fof(f633,plain,
( ! [X4] : sk_c8 != multiply(inverse(X4),sk_c7)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f632,f481]) ).
fof(f632,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| identity != sk_c8 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f111,f249]) ).
fof(f249,plain,
! [X2] : identity = multiply(X2,inverse(X2)),
inference(superposition,[],[f2,f161]) ).
fof(f111,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_12
<=> ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f629,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f622,f263]) ).
fof(f622,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f619]) ).
fof(f619,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f613,f249]) ).
fof(f613,plain,
( ! [X8] :
( identity != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f612,f494]) ).
fof(f612,plain,
( ! [X8] :
( sk_c7 != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f611,f243]) ).
fof(f611,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(identity,multiply(X8,identity)) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f610,f481]) ).
fof(f610,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| identity != inverse(X8) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f120,f481]) ).
fof(f120,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_15
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f609,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f602,f238]) ).
fof(f602,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f597]) ).
fof(f597,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f500,f1]) ).
fof(f500,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f492,f494]) ).
fof(f492,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f486,f481]) ).
fof(f486,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f117,f481]) ).
fof(f117,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_14
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f589,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f588,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f586,f238]) ).
fof(f586,plain,
( identity != inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f483,f572]) ).
fof(f572,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f502,f243]) ).
fof(f502,plain,
( ! [X11] : multiply(sk_c4,X11) = X11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f501,f1]) ).
fof(f501,plain,
( ! [X11] : multiply(sk_c4,multiply(identity,X11)) = X11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f493,f494]) ).
fof(f493,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c7,X11)) = X11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f488,f1]) ).
fof(f488,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c4,multiply(sk_c7,X11))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f132,f481]) ).
fof(f132,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c7,X11)) = multiply(sk_c8,X11)
| ~ spl0_3 ),
inference(superposition,[],[f3,f49]) ).
fof(f49,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f483,plain,
( identity != inverse(sk_c4)
| spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f43,f481]) ).
fof(f43,plain,
( sk_c8 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f378,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f371,f204]) ).
fof(f204,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f175,f191]) ).
fof(f191,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f189,f2]) ).
fof(f189,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f167,f172]) ).
fof(f172,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f164,f2]) ).
fof(f164,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f137,f149]) ).
fof(f149,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f138,f144]) ).
fof(f144,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f74,f142]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f135,f59]) ).
fof(f59,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f135,plain,
( ! [X10] : multiply(sk_c8,multiply(sk_c5,X10)) = X10
| ~ spl0_7 ),
inference(forward_demodulation,[],[f131,f1]) ).
fof(f131,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c8,multiply(sk_c5,X10))
| ~ spl0_7 ),
inference(superposition,[],[f3,f125]) ).
fof(f125,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f138,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f134,f49]) ).
fof(f134,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = X9
| ~ spl0_2 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = multiply(identity,X9)
| ~ spl0_2 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f167,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f137,f125]) ).
fof(f175,plain,
( identity = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f69,f172]) ).
fof(f371,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f367,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f362,f243]) ).
fof(f362,plain,
( ! [X8] :
( identity != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f361,f182]) ).
fof(f182,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f144,f172]) ).
fof(f361,plain,
( ! [X8] :
( sk_c7 != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f360,f243]) ).
fof(f360,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(identity,multiply(X8,identity)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f359,f172]) ).
fof(f359,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(identity,multiply(X8,identity)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f120,f172]) ).
fof(f358,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f351,f263]) ).
fof(f351,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f348]) ).
fof(f348,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f341,f2]) ).
fof(f341,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f340,f172]) ).
fof(f340,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f339,f182]) ).
fof(f339,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f117,f172]) ).
fof(f337,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f330,f204]) ).
fof(f330,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f291,f1]) ).
fof(f291,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f290,f172]) ).
fof(f290,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f289,f172]) ).
fof(f289,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f182]) ).
fof(f288,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f286,f204]) ).
fof(f286,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f285,f172]) ).
fof(f285,plain,
( identity != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f39,f182]) ).
fof(f39,plain,
( inverse(sk_c8) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f284,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f278,f1]) ).
fof(f278,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f190,f204]) ).
fof(f190,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f184,f172]) ).
fof(f184,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| identity != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f146,f172]) ).
fof(f146,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f111,f144]) ).
fof(f121,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f36,f38,f119,f116,f113,f110]) ).
fof(f36,plain,
! [X3,X8,X6,X4] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != inverse(X6) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X8,X6,X4,X5] :
( inverse(X4) != X5
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X4,X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( multiply(X8,sk_c8) != X7
| inverse(X4) != X5
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X4,X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f106,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f26,f72,f81]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f104,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f52,f72]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f103,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f52,f47]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f99,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f42,f81]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f97,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f67,f38]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f96,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f57,f81]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f92,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f57,f52]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f86,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f81,f67]) ).
fof(f28,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f85,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f38,f72]) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f84,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f47,f81]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f70,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f67,f52]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f60,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f7,f38,f57]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f55,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f52,f42]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f50,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f5,f38,f47]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f42,f38]) ).
fof(f4,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP232-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:18:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (23722)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.48 % (23714)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (23710)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)
% 0.18/0.49 % (23721)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)
% 0.18/0.50 % (23711)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)
% 0.18/0.50 % (23723)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (23730)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)
% 0.18/0.50 % (23735)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.50 % (23719)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)
% 0.18/0.50 % (23733)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)
% 0.18/0.50 % (23724)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)
% 0.18/0.51 % (23738)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (23709)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)
% 0.18/0.51 % (23725)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)
% 0.18/0.51 % (23731)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (23712)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)
% 0.18/0.51 % (23715)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)
% 0.18/0.51 % (23734)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (23710)First to succeed.
% 0.18/0.52 % (23726)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)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (23717)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (23739)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)
% 0.18/0.52 % (23727)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (23716)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)
% 0.18/0.52 % (23710)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (23710)------------------------------
% 0.18/0.52 % (23710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (23710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (23710)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (23710)Memory used [KB]: 5756
% 0.18/0.52 % (23710)Time elapsed: 0.115 s
% 0.18/0.52 % (23710)Instructions burned: 20 (million)
% 0.18/0.52 % (23710)------------------------------
% 0.18/0.52 % (23710)------------------------------
% 0.18/0.52 % (23708)Success in time 0.187 s
%------------------------------------------------------------------------------