TSTP Solution File: GRP390-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP390-1 : 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 : n001.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 16:21:31 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 50
% Syntax : Number of formulae : 233 ( 10 unt; 0 def)
% Number of atoms : 903 ( 262 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1311 ( 641 ~; 654 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f819,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f59,f68,f74,f83,f84,f89,f90,f92,f97,f98,f99,f100,f101,f106,f107,f108,f109,f110,f111,f124,f125,f126,f128,f130,f131,f132,f133,f135,f136,f137,f270,f301,f311,f329,f336,f398,f582,f595,f810,f818]) ).
fof(f818,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f816]) ).
fof(f816,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f811,f481]) ).
fof(f481,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f67,f479]) ).
fof(f479,plain,
( sk_c9 = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(backward_demodulation,[],[f78,f466]) ).
fof(f466,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f165,f459]) ).
fof(f459,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f456,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f456,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f150,f447]) ).
fof(f447,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f445,f45]) ).
fof(f45,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_1
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f445,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f150,f54]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f150,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f149,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f149,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
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(f165,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f156,f157]) ).
fof(f157,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f150,f150]) ).
fof(f156,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f150,f2]) ).
fof(f78,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f67,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_6
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f811,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c9 != X8 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f466]) ).
fof(f114,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_13
<=> ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f810,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f809,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
( sk_c9 != sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f801,f481]) ).
fof(f801,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f800]) ).
fof(f800,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f117,f664]) ).
fof(f664,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f461,f481]) ).
fof(f461,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f2,f459]) ).
fof(f117,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_14
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f595,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f594,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f593]) ).
fof(f593,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f591]) ).
fof(f591,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f584,f564]) ).
fof(f564,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f88,f561]) ).
fof(f561,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f559,f88]) ).
fof(f559,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f556,f554]) ).
fof(f554,plain,
( sk_c8 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f512,f550]) ).
fof(f550,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f549,f469]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(backward_demodulation,[],[f444,f468]) ).
fof(f468,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f465,f88]) ).
fof(f465,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f154,f459]) ).
fof(f154,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f150,f1]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_10 ),
inference(superposition,[],[f150,f88]) ).
fof(f549,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f547,f468]) ).
fof(f547,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f96]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_11
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f512,plain,
( sk_c8 = multiply(sk_c3,sk_c2)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f461,f45]) ).
fof(f556,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f45,f555]) ).
fof(f555,plain,
( sk_c8 = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f54,f551]) ).
fof(f551,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f470,f550]) ).
fof(f470,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(backward_demodulation,[],[f446,f469]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f54]) ).
fof(f88,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_10
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f584,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != X7 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f583,f561]) ).
fof(f583,plain,
( ! [X7] :
( sk_c7 != X7
| sk_c8 != inverse(X7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f123,f466]) ).
fof(f123,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl0_16
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f582,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f580,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f577,f469]) ).
fof(f577,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f574,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f566,f564]) ).
fof(f566,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f565,f466]) ).
fof(f565,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(backward_demodulation,[],[f120,f561]) ).
fof(f120,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_15
<=> ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f398,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f392]) ).
fof(f392,plain,
( sk_c8 != sk_c8
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f373,f391]) ).
fof(f391,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f390,f88]) ).
fof(f390,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f63,f388]) ).
fof(f388,plain,
( sk_c8 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f362,f358]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_4
| ~ spl0_12 ),
inference(backward_demodulation,[],[f1,f357]) ).
fof(f357,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f355,f2]) ).
fof(f355,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f150,f166]) ).
fof(f166,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f158,f58]) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_4
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f158,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f150,f105]) ).
fof(f105,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_12
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f362,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f148,f357]) ).
fof(f148,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f373,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f71,f370]) ).
fof(f370,plain,
( ! [X2] : multiply(sk_c5,X2) = X2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[],[f153,f358]) ).
fof(f153,plain,
( ! [X2] : multiply(sk_c8,multiply(sk_c5,X2)) = X2
| ~ spl0_5 ),
inference(superposition,[],[f150,f63]) ).
fof(f71,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f336,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f334,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f332,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f331,f267]) ).
fof(f267,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f63,f266]) ).
fof(f266,plain,
( sk_c8 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f254,f252]) ).
fof(f252,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f196,f248]) ).
fof(f248,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f237,f105]) ).
fof(f237,plain,
( sk_c7 = multiply(sk_c4,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f203,f228]) ).
fof(f228,plain,
( sk_c4 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f227,f175]) ).
fof(f175,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f172,f165]) ).
fof(f172,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl0_2 ),
inference(superposition,[],[f150,f146]) ).
fof(f146,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_2
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f227,plain,
( sk_c4 = inverse(sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f223,f202]) ).
fof(f202,plain,
( ! [X4] : multiply(X4,sk_c7) = X4
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f165,f195]) ).
fof(f195,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f192,f2]) ).
fof(f192,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f150,f162]) ).
fof(f162,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f159,f63]) ).
fof(f159,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f150,f72]) ).
fof(f72,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f223,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f150,f199]) ).
fof(f199,plain,
( sk_c7 = multiply(sk_c9,sk_c4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f147,f195]) ).
fof(f147,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f58]) ).
fof(f203,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f189,f195]) ).
fof(f189,plain,
( identity = multiply(sk_c6,sk_c9)
| ~ spl0_2 ),
inference(superposition,[],[f2,f175]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f1,f195]) ).
fof(f254,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f200,f248]) ).
fof(f200,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f148,f195]) ).
fof(f331,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c8 != X7 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f330,f248]) ).
fof(f330,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != X7 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f123,f256]) ).
fof(f256,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f202,f248]) ).
fof(f329,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f327,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f320,f252]) ).
fof(f320,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f316]) ).
fof(f316,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f315,f267]) ).
fof(f315,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f314,f256]) ).
fof(f314,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f120,f248]) ).
fof(f311,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f309]) ).
fof(f309,plain,
( sk_c4 != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f308,f276]) ).
fof(f276,plain,
( sk_c4 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f58,f275]) ).
fof(f275,plain,
( sk_c4 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f230,f256]) ).
fof(f230,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f82,f228]) ).
fof(f82,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_9
<=> sk_c9 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f308,plain,
( sk_c4 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f307,f276]) ).
fof(f307,plain,
( sk_c4 != inverse(inverse(sk_c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f305]) ).
fof(f305,plain,
( sk_c8 != sk_c8
| sk_c4 != inverse(inverse(sk_c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f303,f253]) ).
fof(f253,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f197,f248]) ).
fof(f197,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f2,f195]) ).
fof(f303,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c4)
| sk_c4 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f302,f275]) ).
fof(f302,plain,
( ! [X6] :
( sk_c4 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f117,f275]) ).
fof(f301,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f299,plain,
( sk_c4 != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f297,plain,
( sk_c4 != sk_c4
| sk_c4 != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f282,f276]) ).
fof(f282,plain,
( ! [X8] :
( sk_c4 != inverse(X8)
| sk_c4 != X8 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f281,f275]) ).
fof(f281,plain,
( ! [X8] :
( sk_c9 != X8
| sk_c4 != inverse(X8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f280,f256]) ).
fof(f280,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c4 != inverse(X8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f114,f275]) ).
fof(f270,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f250,f267]) ).
fof(f250,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f87,f248]) ).
fof(f87,plain,
( inverse(sk_c8) != sk_c7
| spl0_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f137,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f22,f52,f103]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f136,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f4,f86,f103]) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f135,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f37,f94,f61]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f133,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f19,f76,f61]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f132,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f56,f65]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f131,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f65,f47]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f130,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f16,f103,f76]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f128,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f10,f103,f65]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f126,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f29,f43,f56]) ).
fof(f29,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f125,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f36,f94,f70]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f124,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_13
| spl0_16
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f41,f86,f122,f113,f119,f116,f113]) ).
fof(f41,plain,
! [X3,X8,X6,X7,X4] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X3,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X8,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X8) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X6)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(X4,X5)
| inverse(sk_c8) != sk_c7
| sk_c9 != inverse(X8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X5,sk_c7)
| sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| inverse(X4) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f111,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f28,f43,f103]) ).
fof(f28,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f110,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f76,f56]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f109,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f5,f56,f86]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f108,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f35,f56,f94]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f107,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f65,f80]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f106,plain,
( spl0_12
| spl0_11 ),
inference(avatar_split_clause,[],[f34,f94,f103]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f101,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f7,f86,f61]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f100,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f52,f61]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f99,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f47,f86]) ).
fof(f8,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f98,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f27,f52,f80]) ).
fof(f27,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f97,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f38,f94,f47]) ).
fof(f38,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f92,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f47,f76]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f90,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f33,f43,f80]) ).
fof(f33,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f89,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f6,f86,f70]) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f84,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f52,f47]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f83,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f21,f80,f76]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f74,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f61,f43]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f68,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f65,f61]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f59,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f56,f52]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f47,f43]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP390-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.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 22:48:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (20927)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)
% 0.19/0.49 % (20952)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)
% 0.19/0.50 % (20942)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (20944)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 % (20936)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)
% 0.19/0.50 % (20932)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 % (20935)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)
% 0.19/0.50 % (20925)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (20928)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (20921)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)
% 0.19/0.51 % (20928)Instruction limit reached!
% 0.19/0.51 % (20928)------------------------------
% 0.19/0.51 % (20928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20928)Termination reason: Unknown
% 0.19/0.51 % (20928)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (20928)Memory used [KB]: 5500
% 0.19/0.51 % (20928)Time elapsed: 0.073 s
% 0.19/0.51 % (20928)Instructions burned: 7 (million)
% 0.19/0.51 % (20928)------------------------------
% 0.19/0.51 % (20928)------------------------------
% 0.19/0.52 % (20939)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (20924)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)
% 0.19/0.52 % (20948)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)
% 0.19/0.52 % (20923)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 % (20947)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (20926)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)
% 0.19/0.53 % (20941)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)
% 0.19/0.53 % (20940)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)
% 0.19/0.53 % (20937)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)
% 0.19/0.53 % (20952)First to succeed.
% 0.19/0.53 % (20950)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (20938)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (20929)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 % (20933)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (20929)Instruction limit reached!
% 0.19/0.53 % (20929)------------------------------
% 0.19/0.53 % (20929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (20929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (20929)Termination reason: Unknown
% 0.19/0.53 % (20929)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (20929)Memory used [KB]: 5500
% 0.19/0.53 % (20929)Time elapsed: 0.148 s
% 0.19/0.53 % (20929)Instructions burned: 3 (million)
% 0.19/0.53 % (20929)------------------------------
% 0.19/0.53 % (20929)------------------------------
% 0.19/0.53 % (20931)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 TRYING [1]
% 0.19/0.54 % (20942)Also succeeded, but the first one will report.
% 0.19/0.54 % (20952)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (20952)------------------------------
% 0.19/0.54 % (20952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (20952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (20952)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (20952)Memory used [KB]: 5756
% 0.19/0.54 % (20952)Time elapsed: 0.138 s
% 0.19/0.54 % (20952)Instructions burned: 26 (million)
% 0.19/0.54 % (20952)------------------------------
% 0.19/0.54 % (20952)------------------------------
% 0.19/0.54 % (20915)Success in time 0.194 s
%------------------------------------------------------------------------------