%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP248-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:17 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 41
% Syntax : Number of formulae : 255 ( 17 unt; 21 def)
% Number of atoms : 752 ( 261 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 972 ( 475 ~; 476 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f7]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f21]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f61,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f75,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f77]) ).
fof(f89,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| multiply(X1,sk_c9) != sk_c8
| inverse(X1) != sk_c9
| inverse(X2) != sk_c10
| multiply(X2,sk_c8) != sk_c10
| inverse(X3) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,X6) != sk_c9
| inverse(X5) != X6
| multiply(X6,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c8)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c8)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ),
inference(equality_resolution,[],[f90]) ).
fof(f93,definition,
( spl0_1
<=> ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f94,plain,
( ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f97,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c9 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_3
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f100,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_4
<=> ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f103,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c8)
| sk_c10 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,definition,
( spl0_5
<=> ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f106,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,definition,
( spl0_6
<=> ! [X0] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f109,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f91,f108,f105,f102,f99,f96,f93]) ).
fof(f116,definition,
( spl0_8
<=> sk_c10 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f118,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f121,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f123,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f126,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f128,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f131,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f133,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f136,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f138,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f141,definition,
( spl0_13
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f143,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f78,f116,f141]) ).
fof(f146,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f148,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f76,f116,f146]) ).
fof(f151,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f153,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f159,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f64,f151,f141]) ).
fof(f160,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f62,f151,f146]) ).
fof(f162,definition,
( spl0_16
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f168,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f162,f131]) ).
fof(f169,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f162,f136]) ).
fof(f173,definition,
( spl0_17
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f175,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f179,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f40,f173,f131]) ).
fof(f180,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f38,f173,f136]) ).
fof(f184,definition,
( spl0_18
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f186,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f30,f184,f121]) ).
fof(f189,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f28,f184,f126]) ).
fof(f192,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f22,f184,f141]) ).
fof(f193,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f20,f184,f146]) ).
fof(f195,definition,
( spl0_19
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f197,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f16,f195,f121]) ).
fof(f200,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f14,f195,f126]) ).
fof(f203,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f8,f195,f141]) ).
fof(f204,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f6,f195,f146]) ).
fof(f224,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f186]) ).
fof(f225,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f148]) ).
fof(f226,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f3,f138]) ).
fof(f228,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_16 ),
inference(superposition,[],[f3,f164]) ).
fof(f229,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_15 ),
inference(superposition,[],[f3,f153]) ).
fof(f236,definition,
( spl0_23
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f237,plain,
( identity = sk_c9
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( identity != sk_c9
| spl0_23 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f242,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_19 ),
inference(superposition,[],[f4,f197]) ).
fof(f244,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_18 ),
inference(superposition,[],[f4,f224]) ).
fof(f245,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f143]) ).
fof(f250,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c8))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_2 ),
inference(superposition,[],[f97,f4]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_18 ),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f252,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f242,f1]) ).
fof(f255,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f225]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f255,f1]) ).
fof(f265,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f251,f197]) ).
fof(f276,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f243,f265]) ).
fof(f278,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f276,f197]) ).
fof(f292,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f256,f143]) ).
fof(f368,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_18 ),
inference(superposition,[],[f252,f224]) ).
fof(f372,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl0_15 ),
inference(superposition,[],[f252,f229]) ).
fof(f374,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f252,f278]) ).
fof(f380,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f252,f128]) ).
fof(f389,plain,
( ! [X0] :
( sk_c9 != sk_c8
| sk_c9 != inverse(multiply(inverse(X0),X0)) )
| ~ spl0_2 ),
inference(superposition,[],[f250,f252]) ).
fof(f392,plain,
( sk_c9 != inverse(identity)
| sk_c9 != sk_c8
| ~ spl0_2 ),
inference(forward_demodulation,[],[f389,f3]) ).
fof(f398,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f380,f123]) ).
fof(f402,plain,
( identity = sk_c9
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f374,f3]) ).
fof(f415,plain,
( spl0_23
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f402,f195,f184,f236]) ).
fof(f416,plain,
( sk_c10 = multiply(sk_c4,identity)
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f143,f237]) ).
fof(f419,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_12
| ~ spl0_23 ),
inference(superposition,[],[f226,f237]) ).
fof(f420,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f228,f237]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(identity,X0))
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f245,f237]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,X0)
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f421,f1]) ).
fof(f430,plain,
( identity = sk_c2
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f420,f1]) ).
fof(f431,plain,
( identity = sk_c5
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f419,f1]) ).
fof(f434,plain,
( sk_c8 = multiply(identity,sk_c9)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f175,f430]) ).
fof(f435,plain,
( sk_c9 = inverse(identity)
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f164,f430]) ).
fof(f438,plain,
( sk_c9 = sk_c8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f434,f1]) ).
fof(f441,plain,
( identity = sk_c8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f438,f237]) ).
fof(f448,plain,
( identity != inverse(identity)
| sk_c9 != sk_c8
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f392,f237]) ).
fof(f449,plain,
( identity = inverse(identity)
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f435,f237]) ).
fof(f452,plain,
( identity != sk_c8
| identity != inverse(identity)
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f448,f237]) ).
fof(f454,definition,
( spl0_25
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f455,plain,
( identity = inverse(identity)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl0_26
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f459,plain,
( identity = sk_c8
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f463,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_2
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f452,f236,f96,f458,f454]) ).
fof(f469,plain,
( sk_c9 = inverse(identity)
| ~ spl0_12
| ~ spl0_23 ),
inference(superposition,[],[f138,f431]) ).
fof(f470,plain,
( identity = inverse(identity)
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f469,f237]) ).
fof(f474,plain,
( spl0_25
| ~ spl0_12
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f470,f236,f136,f454]) ).
fof(f483,plain,
( spl0_26
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f441,f236,f173,f162,f458]) ).
fof(f484,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f133,f431]) ).
fof(f486,plain,
( sk_c9 = sk_c8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f484,f1]) ).
fof(f488,plain,
( identity = sk_c8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f486,f237]) ).
fof(f489,plain,
( spl0_26
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f488,f236,f136,f131,f458]) ).
fof(f494,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f103,f118]) ).
fof(f522,plain,
( ! [X3] :
( sk_c10 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f100,f237]) ).
fof(f572,plain,
( spl0_25
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f449,f236,f162,f454]) ).
fof(f580,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f522,f416]) ).
fof(f583,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f615,plain,
( sk_c1 = sk_c3
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f372,f368]) ).
fof(f618,plain,
( sk_c10 = multiply(sk_c1,sk_c8)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f118,f615]) ).
fof(f620,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f618,f459]) ).
fof(f633,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f522,f620]) ).
fof(f636,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_23
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f633]) ).
fof(f639,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f636,f186]) ).
fof(f640,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f641,plain,
( ! [X0] :
( identity != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f109,f237]) ).
fof(f645,plain,
( identity != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f641,f197]) ).
fof(f649,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f645,f237]) ).
fof(f650,plain,
( $false
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f649,f186]) ).
fof(f651,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f652,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f494]) ).
fof(f653,plain,
( ! [X2] :
( sk_c10 != multiply(X2,identity)
| sk_c10 != inverse(X2) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f103,f459]) ).
fof(f655,plain,
( ~ spl0_15
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f652,f116,f102,f151]) ).
fof(f656,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f292,f237]) ).
fof(f674,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f653,f416]) ).
fof(f676,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_23
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f674]) ).
fof(f677,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f676,f148]) ).
fof(f678,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f679,plain,
( ! [X1] :
( sk_c8 != multiply(X1,identity)
| sk_c9 != inverse(X1) )
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f106,f237]) ).
fof(f680,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c9 != inverse(X1) )
| ~ spl0_5
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f679,f459]) ).
fof(f681,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_5
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f680,f237]) ).
fof(f692,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f681,f3]) ).
fof(f696,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_23
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f692]) ).
fof(f716,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_demodulation,[],[f696,f455]) ).
fof(f719,plain,
( $false
| ~ spl0_5
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f716,f455]) ).
fof(f720,plain,
( ~ spl0_5
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f725,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f583,f148]) ).
fof(f726,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f727,plain,
( ! [X5] :
( identity != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f94,f237]) ).
fof(f728,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f727,f459]) ).
fof(f729,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f728,f237]) ).
fof(f737,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f729,f3]) ).
fof(f739,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f737]) ).
fof(f746,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f739,f1]) ).
fof(f754,plain,
( $false
| ~ spl0_1
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f746,f455]) ).
fof(f755,plain,
( ~ spl0_1
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f1026,plain,
( identity != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(sk_c4)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f641,f429]) ).
fof(f1027,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1026,f656]) ).
fof(f1036,plain,
( $false
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1027,f148]) ).
fof(f1037,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1089,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f252,f398]) ).
fof(f1091,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1089,f3]) ).
fof(f1093,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1091,f238]) ).
fof(f1094,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f110]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f144]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s14,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s15,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s19,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s20,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s26,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f179]) ).
cnf(s27,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f180]) ).
cnf(s31,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f188]) ).
cnf(s32,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f189]) ).
cnf(s35,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s36,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s38,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f199]) ).
cnf(s39,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f200]) ).
cnf(s42,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f203]) ).
cnf(s43,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f204]) ).
cnf(s53,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_23 ),
inference(sat_conversion,[],[f415]) ).
cnf(s58,plain,
( ~ spl0_2
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f463]) ).
cnf(s61,plain,
( ~ spl0_12
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f474]) ).
cnf(s63,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| spl0_26 ),
inference(sat_conversion,[],[f483]) ).
cnf(s65,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_23
| spl0_26 ),
inference(sat_conversion,[],[f489]) ).
cnf(s72,plain,
( ~ spl0_16
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f572]) ).
cnf(s75,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f640]) ).
cnf(s76,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f651]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_15 ),
inference(sat_conversion,[],[f655]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f678]) ).
cnf(s83,plain,
( ~ spl0_5
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f720]) ).
cnf(s85,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(sat_conversion,[],[f726]) ).
cnf(s88,plain,
( ~ spl0_1
| ~ spl0_23
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f755]) ).
cnf(s106,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s118,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_23 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s120,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_6 ),
inference(rat,[],[s76,s53]) ).
cnf(s121,plain,
( spl0_19
| ~ spl0_6 ),
inference(rat,[],[s118,s106,s38,s39,s42,s43]) ).
cnf(s122,plain,
( ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s118,s106,s31,s32,s35,s36,s120]) ).
cnf(s123,plain,
~ spl0_6,
inference(rat,[],[s122,s121]) ).
cnf(s125,plain,
( spl0_26
| ~ spl0_16
| ~ spl0_23 ),
inference(rat,[],[s65,s26,s27,s63]) ).
cnf(s126,plain,
( ~ spl0_16
| ~ spl0_23
| ~ spl0_5 ),
inference(rat,[],[s125,s83,s72]) ).
cnf(s127,plain,
( ~ spl0_23
| ~ spl0_5 ),
inference(rat,[],[s83,s65,s61,s19,s20,s126]) ).
cnf(s128,plain,
( spl0_19
| spl0_23 ),
inference(rat,[],[s118,s38,s39]) ).
cnf(s129,plain,
( ~ spl0_19
| spl0_23 ),
inference(rat,[],[s118,s31,s32,s53]) ).
cnf(s130,plain,
spl0_23,
inference(rat,[],[s129,s128]) ).
cnf(s131,plain,
~ spl0_5,
inference(rat,[],[s127,s130]) ).
cnf(s133,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s77,s8,s15]) ).
cnf(s134,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s77,s7,s14]) ).
cnf(s135,plain,
spl0_26,
inference(rat,[],[s65,s19,s20,s125,s130]) ).
cnf(s137,plain,
~ spl0_4,
inference(rat,[],[s79,s134,s133,s130,s135]) ).
cnf(s138,plain,
( spl0_14
| ~ spl0_18
| ~ spl0_3 ),
inference(rat,[],[s75,s8,s15,s130,s135]) ).
cnf(s139,plain,
( ~ spl0_18
| ~ spl0_3 ),
inference(rat,[],[s75,s7,s14,s85,s138,s135,s130]) ).
cnf(s140,plain,
~ spl0_3,
inference(rat,[],[s85,s35,s36,s139,s130]) ).
cnf(s141,plain,
spl0_25,
inference(rat,[],[s20,s61,s72,s130]) ).
cnf(s142,plain,
~ spl0_1,
inference(rat,[],[s88,s141,s130,s135]) ).
cnf(s143,plain,
spl0_2,
inference(rat,[],[s1,s123,s137,s131,s142,s140]) ).
cnf(s145,plain,
$false,
inference(rat,[],[s58,s135,s130,s141,s143]) ).
fof(f1095,plain,
$false,
inference(avatar_sat_refutation,[],[s145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP248-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:42:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46 % (4161860)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (4161868)dis+10_1_sil=32000:sp=arity:random_seed=404508844:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (4161866)% WARNING: option uhcvi not known.
% 0.10/0.46 % (4161866)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2248011553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (4161865)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4163140365_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (4161867)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1443866370:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (4161869)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1068434710:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (4161871)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3383592176:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (4161870)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2201264849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (4161868) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4161860-4161868"...
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % (4161868)...printing done.
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (4161868)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.46 % (4161868)------------------------------
% 0.38/0.46 % (4161868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.46 % (4161868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.46 % (4161868)CaDiCaL version: 2.1.3
% 0.38/0.46 % (4161868)Termination reason: Refutation
% 0.38/0.46 % (4161868)Time elapsed: 0.013 s
% 0.38/0.46 % (4161868)Peak memory usage: 12 MB
% 0.38/0.46 % (4161868)Instructions burned: 37 (million)
% 0.38/0.46 % (4161860)Success in time 0.045 s
% 0.38/0.46 % Vampire exiting
%------------------------------------------------------------------------------