TSTP Solution File: GRP292-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP292-1 : 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:11 EDT 2022
% Result : Unsatisfiable 1.91s 0.67s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 30
% Syntax : Number of formulae : 152 ( 9 unt; 0 def)
% Number of atoms : 552 ( 167 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 788 ( 388 ~; 388 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f39,f55,f56,f61,f66,f67,f68,f73,f74,f84,f86,f87,f89,f91,f183,f192,f227,f245,f255,f296,f335,f341]) ).
fof(f341,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f339,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f337,f338]) ).
fof(f338,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f300,f258]) ).
fof(f258,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f43,f257]) ).
fof(f257,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f256,f65]) ).
fof(f65,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_8
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f256,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f250,f54]) ).
fof(f54,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_6
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f250,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f120,f29]) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f120,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f119,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f119,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
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(f43,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_4
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f300,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f120,f259]) ).
fof(f259,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f48,f257]) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f337,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f59,f257]) ).
fof(f59,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_7 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f335,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f334,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f333]) ).
fof(f333,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f332,f314]) ).
fof(f314,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f275,f54]) ).
fof(f275,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f2,f272]) ).
fof(f272,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f267,f2]) ).
fof(f267,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f126,f257]) ).
fof(f126,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f120,f60]) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f332,plain,
( sk_c6 != multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f326,f331]) ).
fof(f331,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f329,f273]) ).
fof(f273,plain,
( ! [X4] : multiply(X4,sk_c6) = X4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f138,f272]) ).
fof(f138,plain,
! [X4] : multiply(X4,identity) = X4,
inference(backward_demodulation,[],[f124,f125]) ).
fof(f125,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f120,f120]) ).
fof(f124,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f120,f2]) ).
fof(f329,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f120,f314]) ).
fof(f326,plain,
( sk_c6 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f325]) ).
fof(f325,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f298,f275]) ).
fof(f298,plain,
( ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f80,f257]) ).
fof(f80,plain,
( ! [X5] :
( sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c5) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_11
<=> ! [X5] :
( sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f296,plain,
( spl0_12
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f295,f76,f63,f52,f27,f82]) ).
fof(f82,plain,
( spl0_12
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f76,plain,
( spl0_10
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f295,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f294,f257]) ).
fof(f294,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f77,f257]) ).
fof(f77,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f255,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f253]) ).
fof(f253,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f252,f54]) ).
fof(f252,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f249]) ).
fof(f249,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f83,f29]) ).
fof(f83,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f245,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f237,f200]) ).
fof(f200,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f147,f198]) ).
fof(f198,plain,
( sk_c7 = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f197,f147]) ).
fof(f197,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f195,f176]) ).
fof(f176,plain,
( ! [X4] : multiply(X4,sk_c6) = X4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f138,f175]) ).
fof(f175,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f171,f2]) ).
fof(f171,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f126,f167]) ).
fof(f167,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f165,f60]) ).
fof(f165,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(backward_demodulation,[],[f151,f162]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(backward_demodulation,[],[f153,f156]) ).
fof(f156,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f154,f95]) ).
fof(f95,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = multiply(sk_c6,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f38]) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_3
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f154,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f120,f147]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(backward_demodulation,[],[f107,f152]) ).
fof(f152,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c5,X9)) = multiply(sk_c5,X9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f149,f107]) ).
fof(f149,plain,
( ! [X9] : multiply(sk_c3,multiply(sk_c6,X9)) = multiply(sk_c5,X9)
| ~ spl0_2
| ~ spl0_9 ),
inference(backward_demodulation,[],[f132,f147]) ).
fof(f132,plain,
( ! [X9] : multiply(inverse(sk_c4),multiply(sk_c6,X9)) = multiply(sk_c5,X9)
| ~ spl0_9 ),
inference(superposition,[],[f120,f104]) ).
fof(f104,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl0_9 ),
inference(superposition,[],[f3,f72]) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f107,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f106,f3]) ).
fof(f106,plain,
( ! [X0] : multiply(multiply(sk_c6,sk_c5),X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f3,f103]) ).
fof(f103,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c6,sk_c5)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f95,f72]) ).
fof(f151,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(backward_demodulation,[],[f103,f150]) ).
fof(f150,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f148,f103]) ).
fof(f148,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(backward_demodulation,[],[f131,f147]) ).
fof(f131,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f120,f72]) ).
fof(f195,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f120,f170]) ).
fof(f170,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f72,f167]) ).
fof(f147,plain,
( sk_c3 = inverse(sk_c4)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f143,f138]) ).
fof(f143,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_2 ),
inference(superposition,[],[f120,f118]) ).
fof(f118,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f33]) ).
fof(f33,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_2
<=> sk_c4 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f237,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f236,plain,
( sk_c7 != inverse(sk_c4)
| sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f83,f170]) ).
fof(f227,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f225]) ).
fof(f225,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f224,f174]) ).
fof(f174,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f166,f167]) ).
fof(f166,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(backward_demodulation,[],[f38,f162]) ).
fof(f224,plain,
( sk_c6 != multiply(sk_c7,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f218,f199]) ).
fof(f199,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f33,f198]) ).
fof(f218,plain,
( sk_c6 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f217]) ).
fof(f217,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f194,f180]) ).
fof(f180,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f2,f175]) ).
fof(f194,plain,
( ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f80,f167]) ).
fof(f192,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f191,f76,f70,f58,f36,f31,f82]) ).
fof(f191,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f190,f167]) ).
fof(f190,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c7 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f77,f167]) ).
fof(f183,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f181]) ).
fof(f181,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f169,f176]) ).
fof(f169,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f64,f167]) ).
fof(f64,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f91,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f15,f70,f52]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f89,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f52,f58]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f87,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f58,f46]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f86,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f4,f63,f58]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f84,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f25,f82,f79,f76,f63,f58]) ).
fof(f25,plain,
! [X3,X4,X5] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(inverse(X5),sk_c5)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != multiply(sk_c5,sk_c6) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| inverse(X5) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f74,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f7,f63,f70]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f73,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f11,f70,f27]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f68,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f31,f63]) ).
fof(f6,axiom,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f67,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f58,f27]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f66,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f36,f63]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f61,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f41,f58]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f56,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f31,f52]) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f55,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f13,f36,f52]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f39,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f9,f27,f36]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f31,f27]) ).
fof(f10,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP292-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % 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 : n028.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 22:35:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (3635)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)
% 0.20/0.56 % (3643)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)
% 0.20/0.56 % (3622)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)
% 0.20/0.57 % (3627)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.57/0.58 % (3625)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)
% 1.57/0.58 % (3627)Instruction limit reached!
% 1.57/0.58 % (3627)------------------------------
% 1.57/0.58 % (3627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (3627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (3627)Termination reason: Unknown
% 1.57/0.58 % (3627)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (3627)Memory used [KB]: 5500
% 1.57/0.58 % (3627)Time elapsed: 0.094 s
% 1.57/0.58 % (3627)Instructions burned: 8 (million)
% 1.57/0.58 % (3627)------------------------------
% 1.57/0.58 % (3627)------------------------------
% 1.57/0.59 % (3638)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.57/0.59 % (3626)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)
% 1.57/0.59 % (3623)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)
% 1.57/0.59 TRYING [1]
% 1.57/0.59 TRYING [2]
% 1.57/0.60 % (3624)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.60 % (3630)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.61 % (3620)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)
% 1.91/0.61 % (3621)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)
% 1.91/0.61 TRYING [1]
% 1.91/0.61 TRYING [2]
% 1.91/0.61 % (3649)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.91/0.61 TRYING [3]
% 1.91/0.61 % (3648)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.61 % (3642)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)
% 1.91/0.62 % (3639)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)
% 1.91/0.62 TRYING [3]
% 1.91/0.62 % (3641)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.62 % (3637)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.91/0.62 % (3636)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)
% 1.91/0.62 % (3647)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.91/0.62 % (3634)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)
% 1.91/0.62 % (3628)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.91/0.63 % (3628)Instruction limit reached!
% 1.91/0.63 % (3628)------------------------------
% 1.91/0.63 % (3628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63 % (3628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63 % (3628)Termination reason: Unknown
% 1.91/0.63 % (3628)Termination phase: Saturation
% 1.91/0.63
% 1.91/0.63 % (3628)Memory used [KB]: 5373
% 1.91/0.63 % (3628)Time elapsed: 0.205 s
% 1.91/0.63 % (3628)Instructions burned: 2 (million)
% 1.91/0.63 % (3628)------------------------------
% 1.91/0.63 % (3628)------------------------------
% 1.91/0.63 % (3640)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)
% 1.91/0.63 % (3629)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)
% 1.91/0.63 % (3646)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)
% 1.91/0.63 % (3645)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.91/0.63 % (3631)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)
% 1.91/0.63 % (3644)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.91/0.63 % (3632)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.91/0.63 % (3633)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.64 TRYING [4]
% 1.91/0.64 TRYING [1]
% 1.91/0.64 TRYING [2]
% 1.91/0.64 % (3649)First to succeed.
% 1.91/0.64 % (3622)Instruction limit reached!
% 1.91/0.64 % (3622)------------------------------
% 1.91/0.64 % (3622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.64 TRYING [3]
% 1.91/0.64 TRYING [4]
% 1.91/0.66 % (3622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.66 % (3622)Termination reason: Unknown
% 1.91/0.66 % (3622)Termination phase: Saturation
% 1.91/0.66
% 1.91/0.66 % (3622)Memory used [KB]: 1279
% 1.91/0.66 % (3622)Time elapsed: 0.210 s
% 1.91/0.66 % (3622)Instructions burned: 37 (million)
% 1.91/0.66 % (3622)------------------------------
% 1.91/0.66 % (3622)------------------------------
% 1.91/0.67 % (3649)Refutation found. Thanks to Tanya!
% 1.91/0.67 % SZS status Unsatisfiable for theBenchmark
% 1.91/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.67 % (3649)------------------------------
% 1.91/0.67 % (3649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.67 % (3649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.67 % (3649)Termination reason: Refutation
% 1.91/0.67
% 1.91/0.67 % (3649)Memory used [KB]: 5628
% 1.91/0.67 % (3649)Time elapsed: 0.206 s
% 1.91/0.67 % (3649)Instructions burned: 11 (million)
% 1.91/0.67 % (3649)------------------------------
% 1.91/0.67 % (3649)------------------------------
% 1.91/0.67 % (3619)Success in time 0.313 s
%------------------------------------------------------------------------------