%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP242-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:17:16 AM UTC 2026
% Result : Unsatisfiable 0.37s 0.47s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 52
% Syntax : Number of formulae : 401 ( 19 unt; 22 def)
% Number of atoms : 1599 ( 444 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2363 (1165 ~;1176 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c9 = multiply(sk_c8,sk_c11) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c11 = inverse(sk_c1)
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c1)
| sk_c9 = multiply(sk_c8,sk_c11) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c8,sk_c11) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c8,sk_c11) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c6 = inverse(sk_c3)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f65]) ).
fof(f125,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(X2,X3) != sk_c11
| inverse(X2) != X3
| multiply(X3,sk_c10) != sk_c11
| inverse(X4) != X5
| inverse(X5) != X3
| multiply(X4,X3) != X5
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(sk_c10) != sk_c9
| multiply(X6,sk_c10) != sk_c11
| inverse(X6) != sk_c10
| multiply(X7,sk_c11) != sk_c9
| inverse(X7) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f126,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c11 != multiply(X3,sk_c10)
| inverse(X4) != X5
| inverse(X5) != X3
| multiply(X4,X3) != X5
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) ),
inference(reorient_equations,[],[f125]) ).
fof(f127,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X2,inverse(X2))
| sk_c11 != multiply(inverse(X2),sk_c10)
| inverse(X4) != X5
| inverse(X2) != inverse(X5)
| multiply(X4,inverse(X2)) != X5
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) ),
inference(equality_resolution,[],[f126]) ).
fof(f128,plain,
! [X2,X0,X1,X6,X7,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X2,inverse(X2))
| sk_c11 != multiply(inverse(X2),sk_c10)
| inverse(X2) != inverse(inverse(X4))
| inverse(X4) != multiply(X4,inverse(X2))
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) ),
inference(equality_resolution,[],[f127]) ).
fof(f130,definition,
( spl0_1
<=> ! [X7] :
( sk_c9 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f131,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,definition,
( spl0_2
<=> ! [X6] :
( sk_c11 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f134,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,definition,
( spl0_3
<=> sk_c9 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f137,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( sk_c9 != inverse(sk_c10)
| spl0_3 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f140,definition,
( spl0_4
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f141,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| spl0_4 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl0_5
<=> ! [X2,X4] :
( sk_c11 != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4))
| sk_c11 != multiply(inverse(X2),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f145,plain,
( ! [X2,X4] :
( sk_c11 != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4))
| sk_c11 != multiply(inverse(X2),sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,definition,
( spl0_6
<=> ! [X1] :
( sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f148,plain,
( ! [X1] :
( sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,definition,
( spl0_7
<=> ! [X0] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f151,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f128,f150,f147,f144,f140,f136,f133,f130]) ).
fof(f154,definition,
( spl0_8
<=> sk_c11 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f156,plain,
( sk_c11 = inverse(sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f163,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c8,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f165,plain,
( sk_c9 = multiply(sk_c8,sk_c11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f168,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f170,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f173,definition,
( spl0_12
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f175,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f210,definition,
( spl0_16
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f212,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f218,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f66,f210,f140]) ).
fof(f220,definition,
( spl0_17
<=> sk_c11 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f222,plain,
( sk_c11 = multiply(sk_c3,sk_c6)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f228,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f54,f220,f140]) ).
fof(f230,definition,
( spl0_18
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f232,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f52,f230,f154]) ).
fof(f234,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f50,f230,f163]) ).
fof(f235,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f48,f230,f168]) ).
fof(f236,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f46,f230,f173]) ).
fof(f237,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f44,f230,f136]) ).
fof(f238,plain,
( spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f42,f230,f140]) ).
fof(f240,definition,
( spl0_19
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f242,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,plain,
( spl0_8
| spl0_19 ),
inference(avatar_split_clause,[],[f40,f240,f154]) ).
fof(f244,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f38,f240,f163]) ).
fof(f245,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f36,f240,f168]) ).
fof(f246,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f34,f240,f173]) ).
fof(f247,plain,
( spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f32,f240,f136]) ).
fof(f248,plain,
( spl0_4
| spl0_19 ),
inference(avatar_split_clause,[],[f30,f240,f140]) ).
fof(f250,definition,
( spl0_20
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f252,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f28,f250,f154]) ).
fof(f254,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f26,f250,f163]) ).
fof(f255,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f24,f250,f168]) ).
fof(f256,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f22,f250,f173]) ).
fof(f257,plain,
( spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f20,f250,f136]) ).
fof(f258,plain,
( spl0_4
| spl0_20 ),
inference(avatar_split_clause,[],[f18,f250,f140]) ).
fof(f260,definition,
( spl0_21
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f262,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f16,f260,f154]) ).
fof(f264,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f14,f260,f163]) ).
fof(f265,plain,
( spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f12,f260,f168]) ).
fof(f266,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f10,f260,f173]) ).
fof(f267,plain,
( spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f8,f260,f136]) ).
fof(f268,plain,
( spl0_4
| spl0_21 ),
inference(avatar_split_clause,[],[f6,f260,f140]) ).
fof(f269,plain,
( sk_c11 != sk_c11
| sk_c10 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f134,f175]) ).
fof(f270,plain,
( sk_c10 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f269]) ).
fof(f273,plain,
( ~ spl0_11
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f270,f173,f133,f168]) ).
fof(f276,plain,
( sk_c11 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_19 ),
inference(superposition,[],[f134,f242]) ).
fof(f277,plain,
( sk_c11 != sk_c9
| ~ spl0_2
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f276,f232]) ).
fof(f280,definition,
( spl0_22
<=> sk_c10 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f281,plain,
( sk_c10 = inverse(identity)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( sk_c10 != inverse(identity)
| spl0_22 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_23
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f285,plain,
( sk_c11 = sk_c10
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
( sk_c11 != sk_c10
| spl0_23 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f252]) ).
fof(f289,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_3 ),
inference(superposition,[],[f3,f137]) ).
fof(f290,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f3,f156]) ).
fof(f291,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_18 ),
inference(superposition,[],[f3,f232]) ).
fof(f295,plain,
( identity != sk_c11
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_2 ),
inference(superposition,[],[f134,f3]) ).
fof(f298,definition,
( spl0_24
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f299,plain,
( identity = sk_c11
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f300,plain,
( identity != sk_c11
| spl0_24 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f308,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f310,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f141]) ).
fof(f312,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c11,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f165]) ).
fof(f318,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f308,f1]) ).
fof(f321,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f288]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_20 ),
inference(forward_demodulation,[],[f321,f1]) ).
fof(f336,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f322,f262]) ).
fof(f351,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c10,identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f310,f289]) ).
fof(f354,plain,
( sk_c11 = multiply(sk_c10,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f351,f336]) ).
fof(f367,plain,
( multiply(sk_c8,sk_c11) = multiply(sk_c9,sk_c10)
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f312,f336]) ).
fof(f371,plain,
( identity = multiply(sk_c8,sk_c11)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f367,f289]) ).
fof(f383,plain,
( identity = sk_c9
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f371,f165]) ).
fof(f397,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f289,f383]) ).
fof(f400,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f437,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f354,f400]) ).
fof(f438,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f437,f1]) ).
fof(f448,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f438,f300]) ).
fof(f449,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f519,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f318,f336]) ).
fof(f528,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f318,f165]) ).
fof(f530,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_19 ),
inference(superposition,[],[f318,f242]) ).
fof(f532,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c11)
| ~ spl0_17 ),
inference(superposition,[],[f318,f222]) ).
fof(f550,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f532,f212]) ).
fof(f552,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f530,f232]) ).
fof(f554,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f528,f156]) ).
fof(f557,plain,
( identity = sk_c10
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f519,f3]) ).
fof(f561,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f552,f141]) ).
fof(f562,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f561,f286]) ).
fof(f563,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f565,plain,
( sk_c9 != inverse(identity)
| spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f138,f557]) ).
fof(f570,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f291,f557]) ).
fof(f581,plain,
( identity = sk_c2
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f570,f1]) ).
fof(f582,plain,
( sk_c11 != multiply(identity,sk_c9)
| spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f142,f557]) ).
fof(f583,plain,
( sk_c11 != sk_c9
| spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f582,f1]) ).
fof(f594,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f242,f581]) ).
fof(f595,plain,
( sk_c10 = inverse(identity)
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f232,f581]) ).
fof(f596,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f595,f282]) ).
fof(f597,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f598,plain,
( sk_c10 = sk_c9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f594,f1]) ).
fof(f601,plain,
( identity = sk_c9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f598,f557]) ).
fof(f604,plain,
( identity = inverse(identity)
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f281,f557]) ).
fof(f610,plain,
( identity != sk_c11
| ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f277,f601]) ).
fof(f614,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f318,f550]) ).
fof(f616,plain,
( identity = sk_c11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f614,f3]) ).
fof(f621,plain,
( identity != inverse(inverse(identity))
| identity != sk_c11
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f295,f557]) ).
fof(f624,plain,
( ~ spl0_24
| ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f610,f260,f250,f240,f230,f133,f298]) ).
fof(f625,plain,
( spl0_24
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f616,f220,f210,f298]) ).
fof(f626,plain,
( identity != inverse(identity)
| identity != sk_c11
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f621,f604]) ).
fof(f631,plain,
( identity != sk_c11
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f626,f604]) ).
fof(f632,plain,
( ~ spl0_24
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f631,f280,f260,f250,f133,f298]) ).
fof(f633,plain,
( identity = sk_c11
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f285,f557]) ).
fof(f634,plain,
( identity != sk_c11
| spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f583,f601]) ).
fof(f635,plain,
( spl0_24
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f633,f284,f260,f250,f298]) ).
fof(f636,plain,
( ~ spl0_24
| spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f634,f260,f250,f240,f230,f140,f298]) ).
fof(f638,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f561,f557]) ).
fof(f640,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f638,f260,f250,f240,f230,f140,f298]) ).
fof(f642,plain,
( sk_c9 = multiply(sk_c8,identity)
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f165,f299]) ).
fof(f645,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f290,f299]) ).
fof(f656,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f645,f1]) ).
fof(f689,plain,
( identity != sk_c9
| spl0_3
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f565,f604]) ).
fof(f690,plain,
( $false
| spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f689,f601]) ).
fof(f691,plain,
( spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f703,plain,
( ! [X1] :
( sk_c9 != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_6
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f148,f557]) ).
fof(f708,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f703,f601]) ).
fof(f709,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f708,f557]) ).
fof(f712,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f709,f3]) ).
fof(f714,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f712]) ).
fof(f725,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f714,f604]) ).
fof(f728,plain,
( $false
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f725,f604]) ).
fof(f729,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( ! [X2,X4] :
( identity != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4))
| sk_c11 != multiply(inverse(X2),sk_c10) )
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f145,f299]) ).
fof(f731,plain,
( ! [X2,X4] :
( sk_c11 != multiply(inverse(X2),identity)
| identity != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4)) )
| ~ spl0_5
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f730,f557]) ).
fof(f732,plain,
( ! [X2,X4] :
( inverse(X4) != multiply(X4,inverse(X2))
| identity != multiply(X2,inverse(X2))
| identity != multiply(inverse(X2),identity)
| inverse(X2) != inverse(inverse(X4)) )
| ~ spl0_5
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f731,f299]) ).
fof(f736,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| identity != multiply(sk_c2,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f732,f232]) ).
fof(f759,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c2,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f736,f557]) ).
fof(f773,plain,
( ! [X0] :
( identity != sk_c9
| inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f759,f242]) ).
fof(f779,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f773,f601]) ).
fof(f783,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f779,f557]) ).
fof(f786,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f783,f1]) ).
fof(f789,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f786,f557]) ).
fof(f796,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f789,f3]) ).
fof(f807,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f796,f604]) ).
fof(f809,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f807,f604]) ).
fof(f811,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f809,f604]) ).
fof(f814,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f811,f604]) ).
fof(f815,plain,
( $false
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f814,f604]) ).
fof(f816,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f817,plain,
( ! [X0] :
( sk_c10 != multiply(X0,identity)
| inverse(X0) != sk_c11 )
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_demodulation,[],[f151,f299]) ).
fof(f818,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c11 )
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f817,f557]) ).
fof(f819,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f818,f299]) ).
fof(f823,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f819,f3]) ).
fof(f825,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f823]) ).
fof(f827,plain,
( identity != inverse(identity)
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f825,f604]) ).
fof(f830,plain,
( $false
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f827,f604]) ).
fof(f831,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f832,plain,
( ! [X7] :
( sk_c9 != multiply(X7,identity)
| sk_c11 != inverse(X7) )
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f131,f299]) ).
fof(f833,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| sk_c11 != inverse(X7) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f832,f601]) ).
fof(f834,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f833,f299]) ).
fof(f838,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f834,f3]) ).
fof(f840,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f838]) ).
fof(f842,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f840,f604]) ).
fof(f845,plain,
( $false
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f842,f604]) ).
fof(f846,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f852,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f642,f656]) ).
fof(f858,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f832,f299]) ).
fof(f861,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f852,f1]) ).
fof(f911,plain,
( identity = sk_c10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f285,f299]) ).
fof(f931,plain,
( sk_c9 = inverse(identity)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f137,f911]) ).
fof(f934,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f931,f861]) ).
fof(f952,plain,
( ! [X1] :
( sk_c9 != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_6
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f148,f911]) ).
fof(f953,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f952,f861]) ).
fof(f954,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f953,f911]) ).
fof(f957,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f954,f3]) ).
fof(f959,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f957]) ).
fof(f961,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f959,f934]) ).
fof(f964,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f961,f934]) ).
fof(f965,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f966,plain,
( identity != sk_c10
| spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f286,f299]) ).
fof(f967,plain,
( identity = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f137,f861]) ).
fof(f972,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f3,f967]) ).
fof(f973,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f972,f1]) ).
fof(f975,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_23
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f973,f966]) ).
fof(f976,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f978,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_3 ),
inference(superposition,[],[f3,f137]) ).
fof(f991,plain,
( sk_c11 != sk_c9
| sk_c10 != inverse(sk_c7)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f148,f175]) ).
fof(f1000,definition,
( spl0_38
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f1002,plain,
( sk_c11 != sk_c9
| spl0_38 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1004,plain,
( sk_c11 != sk_c9
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f991,f170]) ).
fof(f1007,plain,
( ~ spl0_38
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1004,f173,f168,f147,f1000]) ).
fof(f1009,definition,
( spl0_39
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1010,plain,
( identity = sk_c9
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1037,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f318,f554]) ).
fof(f1039,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1037,f3]) ).
fof(f1045,plain,
( spl0_39
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1039,f163,f154,f1009]) ).
fof(f1049,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_3
| ~ spl0_39 ),
inference(superposition,[],[f978,f1010]) ).
fof(f1053,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1049,f1]) ).
fof(f1055,plain,
( sk_c11 = multiply(identity,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_39 ),
inference(superposition,[],[f141,f1053]) ).
fof(f1075,plain,
( sk_c11 = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1055,f1]) ).
fof(f1079,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1075,f1002]) ).
fof(f1080,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_38
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1085,plain,
( ! [X2,X4] :
( sk_c11 != multiply(inverse(X2),identity)
| sk_c11 != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_39 ),
inference(forward_demodulation,[],[f145,f1053]) ).
fof(f1088,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f285,f1053]) ).
fof(f1100,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1075,f1010]) ).
fof(f1103,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1088,f1009,f284,f136,f298]) ).
fof(f1107,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_4
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1100,f1009,f140,f136,f298]) ).
fof(f1155,plain,
( ! [X2,X4] :
( identity != multiply(inverse(X2),identity)
| sk_c11 != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1085,f299]) ).
fof(f1156,plain,
( ! [X2,X4] :
( inverse(X4) != multiply(X4,inverse(X2))
| identity != multiply(inverse(X2),identity)
| identity != multiply(X2,inverse(X2))
| inverse(X2) != inverse(inverse(X4)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1155,f299]) ).
fof(f1158,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(superposition,[],[f1156,f934]) ).
fof(f1170,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(duplicate_literal_removal,[],[f1158]) ).
fof(f1179,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1170,f1]) ).
fof(f1213,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(superposition,[],[f1179,f3]) ).
fof(f1216,plain,
( identity != inverse(sk_c10)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1213,f281]) ).
fof(f1218,plain,
( identity != sk_c9
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1216,f137]) ).
fof(f1220,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1218,f1010]) ).
fof(f1222,plain,
( identity != inverse(inverse(sk_c10))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1220,f281]) ).
fof(f1225,plain,
( identity != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1222,f137]) ).
fof(f1226,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1225,f1010]) ).
fof(f1227,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1226,f934]) ).
fof(f1228,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1230,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c11 )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f817,f1053]) ).
fof(f1232,plain,
( identity != sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f282,f934]) ).
fof(f1238,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1230,f299]) ).
fof(f1239,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1232,f1053]) ).
fof(f1240,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1247,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_39 ),
inference(superposition,[],[f1238,f3]) ).
fof(f1249,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_24
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1247]) ).
fof(f1251,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1249,f934]) ).
fof(f1254,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1251,f934]) ).
fof(f1255,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1257,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl0_1
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f858,f1010]) ).
fof(f1276,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_24
| ~ spl0_39 ),
inference(superposition,[],[f1257,f3]) ).
fof(f1279,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_24
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1276]) ).
fof(f1282,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1279,f934]) ).
fof(f1285,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1282,f934]) ).
fof(f1286,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f152]) ).
cnf(s31,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f218]) ).
cnf(s37,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f228]) ).
cnf(s38,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f233]) ).
cnf(s39,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f234]) ).
cnf(s40,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f235]) ).
cnf(s41,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f236]) ).
cnf(s42,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f237]) ).
cnf(s43,plain,
( spl0_4
| spl0_18 ),
inference(sat_conversion,[],[f238]) ).
cnf(s44,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f243]) ).
cnf(s45,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f244]) ).
cnf(s46,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f245]) ).
cnf(s47,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f246]) ).
cnf(s48,plain,
( spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f247]) ).
cnf(s49,plain,
( spl0_4
| spl0_19 ),
inference(sat_conversion,[],[f248]) ).
cnf(s50,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s51,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f254]) ).
cnf(s52,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f255]) ).
cnf(s53,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f256]) ).
cnf(s54,plain,
( spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f257]) ).
cnf(s55,plain,
( spl0_4
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s56,plain,
( spl0_8
| spl0_21 ),
inference(sat_conversion,[],[f263]) ).
cnf(s57,plain,
( spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f264]) ).
cnf(s58,plain,
( spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f265]) ).
cnf(s59,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f266]) ).
cnf(s60,plain,
( spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f267]) ).
cnf(s61,plain,
( spl0_4
| spl0_21 ),
inference(sat_conversion,[],[f268]) ).
cnf(s63,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f273]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21
| spl0_24 ),
inference(sat_conversion,[],[f449]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| spl0_23 ),
inference(sat_conversion,[],[f563]) ).
cnf(s70,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f597]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(sat_conversion,[],[f624]) ).
cnf(s74,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_24 ),
inference(sat_conversion,[],[f625]) ).
cnf(s76,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f632]) ).
cnf(s77,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f635]) ).
cnf(s78,plain,
( spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(sat_conversion,[],[f636]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| spl0_24 ),
inference(sat_conversion,[],[f640]) ).
cnf(s81,plain,
( spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f691]) ).
cnf(s84,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f729]) ).
cnf(s90,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f816]) ).
cnf(s92,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f831]) ).
cnf(s94,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f846]) ).
cnf(s100,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f965]) ).
cnf(s101,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f976]) ).
cnf(s103,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_38 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s108,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_39 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s109,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s111,plain,
( ~ spl0_3
| ~ spl0_23
| spl0_24
| ~ spl0_39 ),
inference(sat_conversion,[],[f1103]) ).
cnf(s113,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_24
| ~ spl0_39 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s117,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(sat_conversion,[],[f1228]) ).
cnf(s118,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s120,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s125,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24
| ~ spl0_39 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s126,plain,
( spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(rat,[],[s70,s81]) ).
cnf(s127,plain,
spl0_3,
inference(rat,[],[s126,s42,s48,s54,s60]) ).
cnf(s128,plain,
( spl0_4
| ~ spl0_21
| ~ spl0_19
| ~ spl0_20
| ~ spl0_18 ),
inference(rat,[],[s74,s31,s37,s78]) ).
cnf(s129,plain,
( ~ spl0_21
| ~ spl0_20
| ~ spl0_19
| ~ spl0_18
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s92,s90,s79,s128,s84,s70,s127]) ).
cnf(s130,plain,
( spl0_21
| ~ spl0_19
| ~ spl0_18
| spl0_2
| spl0_1 ),
inference(rat,[],[s1,s117,s118,s120,s100,s111,s108,s69,s56,s57,s61,s127]) ).
cnf(s131,plain,
( ~ spl0_21
| ~ spl0_19
| spl0_1
| ~ spl0_18
| spl0_2 ),
inference(rat,[],[s1,s117,s118,s120,s100,s111,s108,s69,s50,s51,s55,s129,s127]) ).
cnf(s132,plain,
( ~ spl0_19
| ~ spl0_18
| spl0_1
| spl0_2 ),
inference(rat,[],[s131,s130]) ).
cnf(s133,plain,
( spl0_19
| spl0_2
| spl0_1 ),
inference(rat,[],[s117,s1,s118,s120,s103,s101,s109,s113,s108,s44,s45,s46,s47,s49,s127]) ).
cnf(s134,plain,
( ~ spl0_19
| spl0_2
| spl0_1 ),
inference(rat,[],[s117,s1,s118,s120,s103,s101,s109,s113,s108,s38,s39,s40,s41,s43,s132,s127]) ).
cnf(s135,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s134,s133]) ).
cnf(s136,plain,
( spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(rat,[],[s128,s55,s61]) ).
cnf(s137,plain,
( spl0_20
| ~ spl0_2 ),
inference(rat,[],[s63,s52,s53]) ).
cnf(s138,plain,
( spl0_21
| ~ spl0_2 ),
inference(rat,[],[s63,s58,s59]) ).
cnf(s139,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s73,s79,s136,s137,s138]) ).
cnf(s140,plain,
( spl0_18
| ~ spl0_2 ),
inference(rat,[],[s63,s40,s41]) ).
cnf(s141,plain,
~ spl0_2,
inference(rat,[],[s67,s45,s49,s76,s139,s70,s140,s138,s137,s127]) ).
cnf(s142,plain,
spl0_1,
inference(rat,[],[s135,s141]) ).
cnf(s143,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s94,s70,s77,s69,s136,s142]) ).
cnf(s144,plain,
( spl0_20
| ~ spl0_23
| ~ spl0_4 ),
inference(rat,[],[s113,s125,s108,s50,s51,s127,s142]) ).
cnf(s145,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s113,s125,s108,s56,s57,s143,s144,s69,s142,s127]) ).
cnf(s146,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s145,s136]) ).
cnf(s147,plain,
spl0_19,
inference(rat,[],[s125,s101,s113,s108,s44,s45,s49,s142,s127]) ).
cnf(s148,plain,
~ spl0_18,
inference(rat,[],[s146,s147]) ).
cnf(s149,plain,
spl0_4,
inference(rat,[],[s43,s148]) ).
cnf(s152,plain,
spl0_10,
inference(rat,[],[s39,s148]) ).
cnf(s153,plain,
spl0_8,
inference(rat,[],[s38,s148]) ).
cnf(s154,plain,
spl0_39,
inference(rat,[],[s108,s152,s153]) ).
cnf(s155,plain,
spl0_24,
inference(rat,[],[s113,s149,s127,s154]) ).
cnf(s157,plain,
spl0_23,
inference(rat,[],[s101,s152,s153,s127,s155]) ).
cnf(s159,plain,
$false,
inference(rat,[],[s125,s154,s152,s153,s127,s142,s157,s155]) ).
fof(f1287,plain,
$false,
inference(avatar_sat_refutation,[],[s159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP242-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:38:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.47 % (4160607)Will run a generic schedule for satisfiability detection.
% 0.37/0.47 % (4160613)% WARNING: option uhcvi not known.
% 0.37/0.47 % (4160613)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=781430846:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.47 % (4160616)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=97626672:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.47 % (4160612)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1654050995_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.47 % (4160614)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2966865977:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.47 % (4160615)dis+10_1_sil=32000:sp=arity:random_seed=3919211525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.47 % (4160617)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=464697085:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.47 % (4160618)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=488584528:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.47 % TRYING [1]
% 0.37/0.47 % TRYING [2]
% 0.37/0.47 % TRYING [3]
% 0.37/0.47 % TRYING [4]
% 0.37/0.47 % (4160615) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4160607-4160615"...
% 0.37/0.47 % TRYING [5]
% 0.37/0.47 % (4160615)...printing done.
% 0.37/0.47 % (4160615)Refutation found. Thanks to Tanya!
% 0.37/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.47 % (4160615)------------------------------
% 0.37/0.47 % (4160615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.47 % (4160615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.47 % (4160615)CaDiCaL version: 2.1.3
% 0.37/0.47 % (4160615)Termination reason: Refutation
% 0.37/0.47 % (4160615)Time elapsed: 0.027 s
% 0.37/0.47 % (4160615)Peak memory usage: 12 MB
% 0.37/0.47 % (4160615)Instructions burned: 44 (million)
% 0.37/0.47 % (4160607)Success in time 0.062 s
% 0.37/0.47 % Vampire exiting
%------------------------------------------------------------------------------