TSTP Solution File: GRP236-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP236-1 : 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 16:20:59 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 43
% Syntax : Number of formulae : 170 ( 8 unt; 0 def)
% Number of atoms : 504 ( 205 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 647 ( 313 ~; 312 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f570,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f57,f67,f73,f78,f103,f106,f110,f111,f115,f121,f122,f124,f125,f126,f127,f128,f129,f130,f132,f133,f155,f166,f204,f226,f264,f267,f383,f547,f568,f569]) ).
fof(f569,plain,
( ~ spl3_19
| ~ spl3_1
| ~ spl3_5
| spl3_20 ),
inference(avatar_split_clause,[],[f531,f157,f59,f40,f150]) ).
fof(f150,plain,
( spl3_19
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f40,plain,
( spl3_1
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f59,plain,
( spl3_5
<=> sk_c7 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f157,plain,
( spl3_20
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f531,plain,
( sk_c8 != sk_c7
| ~ spl3_1
| ~ spl3_5
| spl3_20 ),
inference(superposition,[],[f159,f515]) ).
fof(f515,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_5 ),
inference(superposition,[],[f487,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f487,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl3_1
| ~ spl3_5 ),
inference(superposition,[],[f181,f448]) ).
fof(f448,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl3_1
| ~ spl3_5 ),
inference(superposition,[],[f412,f61]) ).
fof(f61,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl3_1 ),
inference(forward_demodulation,[],[f411,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f411,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl3_1 ),
inference(superposition,[],[f3,f138]) ).
fof(f138,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl3_1 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
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(f181,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f168,f1]) ).
fof(f168,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f159,plain,
( identity != sk_c8
| spl3_20 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f568,plain,
( spl3_19
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f562,f118,f89,f59,f40,f150]) ).
fof(f89,plain,
( spl3_11
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f118,plain,
( spl3_17
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f562,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f538,f520]) ).
fof(f520,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_1
| ~ spl3_5 ),
inference(backward_demodulation,[],[f1,f515]) ).
fof(f538,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_17 ),
inference(backward_demodulation,[],[f120,f537]) ).
fof(f537,plain,
( sk_c7 = sk_c3
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f536,f90]) ).
fof(f90,plain,
( inverse(sk_c8) = sk_c7
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f536,plain,
( inverse(sk_c8) = sk_c3
| ~ spl3_1
| ~ spl3_5
| ~ spl3_17 ),
inference(backward_demodulation,[],[f42,f533]) ).
fof(f533,plain,
( sk_c8 = sk_c2
| ~ spl3_1
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f530,f482]) ).
fof(f482,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_17 ),
inference(superposition,[],[f181,f120]) ).
fof(f530,plain,
( sk_c2 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_1
| ~ spl3_5 ),
inference(backward_demodulation,[],[f489,f515]) ).
fof(f489,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl3_1 ),
inference(superposition,[],[f181,f138]) ).
fof(f120,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f547,plain,
( spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f545,f51]) ).
fof(f51,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl3_3
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f545,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11 ),
inference(forward_demodulation,[],[f45,f429]) ).
fof(f429,plain,
( sk_c1 = sk_c4
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11 ),
inference(backward_demodulation,[],[f182,f424]) ).
fof(f424,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl3_6
| ~ spl3_11 ),
inference(superposition,[],[f178,f135]) ).
fof(f135,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_6 ),
inference(superposition,[],[f2,f66]) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_6
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f178,plain,
( ! [X9] : multiply(sk_c7,multiply(sk_c8,X9)) = X9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f171,f1]) ).
fof(f171,plain,
( ! [X9] : multiply(sk_c7,multiply(sk_c8,X9)) = multiply(identity,X9)
| ~ spl3_11 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl3_11 ),
inference(superposition,[],[f2,f90]) ).
fof(f182,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl3_4
| ~ spl3_11 ),
inference(superposition,[],[f178,f136]) ).
fof(f136,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl3_4 ),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl3_4
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f45,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl3_2
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f383,plain,
( ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f373,f316]) ).
fof(f316,plain,
( ! [X0] : inverse(inverse(X0)) = X0
| ~ spl3_20 ),
inference(superposition,[],[f308,f271]) ).
fof(f271,plain,
( ! [X1] : multiply(inverse(inverse(X1)),sk_c8) = X1
| ~ spl3_20 ),
inference(superposition,[],[f242,f228]) ).
fof(f228,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl3_20 ),
inference(backward_demodulation,[],[f2,f158]) ).
fof(f158,plain,
( identity = sk_c8
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f242,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f241,f227]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl3_20 ),
inference(backward_demodulation,[],[f1,f158]) ).
fof(f241,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(sk_c8,X1)
| ~ spl3_20 ),
inference(superposition,[],[f3,f228]) ).
fof(f308,plain,
( ! [X6] : multiply(X6,sk_c8) = X6
| ~ spl3_20 ),
inference(superposition,[],[f273,f271]) ).
fof(f273,plain,
( ! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6)
| ~ spl3_20 ),
inference(superposition,[],[f242,f242]) ).
fof(f373,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f370]) ).
fof(f370,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f367,f306]) ).
fof(f306,plain,
( ! [X1] : sk_c8 = multiply(X1,inverse(X1))
| ~ spl3_20 ),
inference(superposition,[],[f273,f228]) ).
fof(f367,plain,
( ! [X8] :
( sk_c8 != multiply(sk_c8,X8)
| sk_c8 != inverse(X8) )
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f268,f308]) ).
fof(f268,plain,
( ! [X8] :
( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f114,f151]) ).
fof(f151,plain,
( sk_c8 = sk_c7
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f114,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl3_16
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f267,plain,
( ~ spl3_11
| ~ spl3_14
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f265,f206]) ).
fof(f206,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl3_11
| ~ spl3_19 ),
inference(backward_demodulation,[],[f90,f151]) ).
fof(f265,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_14
| ~ spl3_19
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f253,f228]) ).
fof(f253,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c8)
| sk_c8 != inverse(sk_c8)
| ~ spl3_14
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f222,f227]) ).
fof(f222,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f221,f151]) ).
fof(f221,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f102,f151]) ).
fof(f102,plain,
( ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl3_14
<=> ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f264,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f255,f213]) ).
fof(f213,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_19 ),
inference(superposition,[],[f180,f205]) ).
fof(f205,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl3_2
| ~ spl3_19 ),
inference(backward_demodulation,[],[f46,f151]) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f180,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c4,X11)) = X11
| ~ spl3_4 ),
inference(forward_demodulation,[],[f173,f1]) ).
fof(f173,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c4,X11)) = multiply(identity,X11)
| ~ spl3_4 ),
inference(superposition,[],[f3,f136]) ).
fof(f255,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f250,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(superposition,[],[f222,f206]) ).
fof(f226,plain,
( spl3_20
| ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f224,f150,f89,f54,f44,f157]) ).
fof(f224,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_19 ),
inference(backward_demodulation,[],[f207,f213]) ).
fof(f207,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl3_11
| ~ spl3_19 ),
inference(backward_demodulation,[],[f134,f151]) ).
fof(f204,plain,
( spl3_19
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f201,f89,f80,f75,f69,f54,f150]) ).
fof(f69,plain,
( spl3_7
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f75,plain,
( spl3_8
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f80,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f201,plain,
( sk_c8 = sk_c7
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(backward_demodulation,[],[f71,f196]) ).
fof(f196,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(superposition,[],[f180,f192]) ).
fof(f192,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(backward_demodulation,[],[f82,f190]) ).
fof(f190,plain,
( sk_c4 = sk_c5
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11 ),
inference(forward_demodulation,[],[f184,f182]) ).
fof(f184,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl3_8
| ~ spl3_11 ),
inference(superposition,[],[f178,f137]) ).
fof(f137,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl3_8 ),
inference(superposition,[],[f2,f77]) ).
fof(f77,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f166,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f143,f56]) ).
fof(f143,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl3_2
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f139]) ).
fof(f139,plain,
( sk_c8 != inverse(sk_c4)
| sk_c8 != sk_c8
| ~ spl3_2
| ~ spl3_15 ),
inference(superposition,[],[f109,f46]) ).
fof(f109,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_15
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f155,plain,
( ~ spl3_3
| ~ spl3_6
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| ~ spl3_3
| ~ spl3_6
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f144,f66]) ).
fof(f144,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl3_3
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl3_3
| ~ spl3_15 ),
inference(superposition,[],[f109,f51]) ).
fof(f133,plain,
spl3_11,
inference(avatar_split_clause,[],[f4,f89]) ).
fof(f4,axiom,
inverse(sk_c8) = sk_c7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f132,plain,
( spl3_1
| spl3_9 ),
inference(avatar_split_clause,[],[f23,f80,f40]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f130,plain,
( spl3_17
| spl3_7 ),
inference(avatar_split_clause,[],[f27,f69,f118]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f129,plain,
( spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f20,f40,f54]) ).
fof(f20,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f128,plain,
( spl3_5
| spl3_7 ),
inference(avatar_split_clause,[],[f17,f69,f59]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f127,plain,
( spl3_4
| spl3_17 ),
inference(avatar_split_clause,[],[f25,f118,f54]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f126,plain,
( spl3_13
| spl3_15 ),
inference(avatar_split_clause,[],[f33,f108,f97]) ).
fof(f97,plain,
( spl3_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f33,plain,
! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sP0
| sk_c8 != inverse(X3) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f125,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f18,f59,f80]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f124,plain,
( spl3_1
| spl3_7 ),
inference(avatar_split_clause,[],[f22,f69,f40]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f122,plain,
( spl3_9
| spl3_17 ),
inference(avatar_split_clause,[],[f28,f118,f80]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f121,plain,
( spl3_8
| spl3_17 ),
inference(avatar_split_clause,[],[f29,f118,f75]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f115,plain,
( spl3_12
| spl3_16 ),
inference(avatar_split_clause,[],[f35,f113,f93]) ).
fof(f93,plain,
( spl3_12
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f35,plain,
! [X8] :
( sk_c8 != inverse(X8)
| sP1
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f111,plain,
( spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f24,f40,f75]) ).
fof(f24,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f110,plain,
( spl3_10
| spl3_15 ),
inference(avatar_split_clause,[],[f37,f108,f85]) ).
fof(f85,plain,
( spl3_10
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f37,plain,
! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sP2
| sk_c8 != inverse(X6) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f106,plain,
( spl3_2
| spl3_6 ),
inference(avatar_split_clause,[],[f6,f64,f44]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f103,plain,
( ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f38,f101,f97,f93,f89,f85]) ).
fof(f38,plain,
! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| ~ sP0
| sk_c7 != multiply(inverse(X4),sk_c8)
| ~ sP1
| inverse(sk_c8) != sk_c7
| ~ sP2 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f36,plain,
! [X6,X4] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(inverse(X4),sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X4,inverse(X4))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f34,plain,
! [X8,X6,X4] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != multiply(inverse(X4),sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X4,inverse(X4))
| ~ sP0 ),
inference(general_splitting,[],[f32,f33_D]) ).
fof(f32,plain,
! [X3,X8,X6,X4] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(inverse(X4),sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f30]) ).
fof(f30,axiom,
! [X3,X8,X6,X7,X4,X5] :
( multiply(X8,sk_c8) != X7
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f78,plain,
( spl3_5
| spl3_8 ),
inference(avatar_split_clause,[],[f19,f75,f59]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f73,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f15,f54,f59]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f67,plain,
( spl3_6
| spl3_4 ),
inference(avatar_split_clause,[],[f5,f54,f64]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f57,plain,
( spl3_4
| spl3_3 ),
inference(avatar_split_clause,[],[f10,f49,f54]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f52,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f11,f49,f44]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP236-1 : 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 22:21:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12556)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (12568)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (12550)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (12557)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (12559)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (12560)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (12564)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (12552)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (12555)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (12544)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (12546)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (12572)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (12558)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (12567)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (12565)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (12574)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)
% 0.19/0.53 % (12548)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (12545)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (12547)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (12552)Instruction limit reached!
% 0.19/0.53 % (12552)------------------------------
% 0.19/0.53 % (12552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12552)Termination reason: Unknown
% 0.19/0.53 % (12552)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (12552)Memory used [KB]: 5500
% 0.19/0.53 % (12552)Time elapsed: 0.080 s
% 0.19/0.53 % (12552)Instructions burned: 7 (million)
% 0.19/0.53 % (12552)------------------------------
% 0.19/0.53 % (12552)------------------------------
% 0.19/0.53 % (12550)First to succeed.
% 0.19/0.53 % (12553)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (12553)Instruction limit reached!
% 0.19/0.53 % (12553)------------------------------
% 0.19/0.53 % (12553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12553)Termination reason: Unknown
% 0.19/0.53 % (12553)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (12553)Memory used [KB]: 5373
% 0.19/0.53 % (12553)Time elapsed: 0.003 s
% 0.19/0.53 % (12553)Instructions burned: 2 (million)
% 0.19/0.53 % (12553)------------------------------
% 0.19/0.53 % (12553)------------------------------
% 0.19/0.53 % (12570)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (12569)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (12566)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (12561)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (12571)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (12562)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (12551)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (12563)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 TRYING [3]
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (12550)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (12550)------------------------------
% 0.19/0.55 % (12550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (12550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (12550)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (12550)Memory used [KB]: 5756
% 0.19/0.55 % (12550)Time elapsed: 0.132 s
% 0.19/0.55 % (12550)Instructions burned: 21 (million)
% 0.19/0.55 % (12550)------------------------------
% 0.19/0.55 % (12550)------------------------------
% 0.19/0.55 % (12542)Success in time 0.196 s
%------------------------------------------------------------------------------