%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP242-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:13:25 AM UTC 2026
% Result : Unsatisfiable 2.67s 1.39s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 55
% Syntax : Number of formulae : 352 ( 21 unt; 25 def)
% Number of atoms : 1089 ( 375 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1395 ( 658 ~; 712 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/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/sandbox2/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(f13,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c11 = inverse(sk_c1)
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f19]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f55,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c11
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f55]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c11 = inverse(sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/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(f67,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c6 = inverse(sk_c3)
| sk_c9 = inverse(sk_c10) ),
inference(reorient_equations,[],[f67]) ).
fof(f75,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c6 = inverse(sk_c3)
| sk_c11 = inverse(sk_c8) ),
inference(reorient_equations,[],[f75]) ).
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/sandbox2/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_c11 != inverse(X7)
| sk_c9 != multiply(X7,sk_c11) )
| ~ 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(inverse(X2),sk_c10)
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4))
| sk_c11 != multiply(X2,inverse(X2)) )
| ~ 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(f213,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f76,f210,f154]) ).
fof(f217,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f68,f210,f136]) ).
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(f223,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f64,f220,f154]) ).
fof(f227,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f56,f220,f136]) ).
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(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(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(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(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(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(f317,plain,
( ! [X0,X1] :
( sk_c11 != multiply(X0,multiply(X1,sk_c10))
| sk_c10 != inverse(multiply(X0,X1)) )
| ~ spl0_2 ),
inference(superposition,[],[f134,f4]) ).
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(f326,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f290]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c8,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f326,f1]) ).
fof(f336,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f322,f262]) ).
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(f373,plain,
( identity = sk_c9
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f371,f165]) ).
fof(f377,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f1,f373]) ).
fof(f385,definition,
( spl0_26
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f386,plain,
( sk_c10 = sk_c9
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f389,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f377,f289]) ).
fof(f396,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f373,f389]) ).
fof(f402,plain,
( spl0_26
| ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f396,f260,f250,f163,f136,f385]) ).
fof(f417,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f327,f165]) ).
fof(f461,definition,
( spl0_27
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f462,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( sk_c10 != inverse(sk_c10)
| spl0_27 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f467,plain,
( sk_c9 != inverse(sk_c11)
| spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f138,f285]) ).
fof(f469,plain,
( sk_c11 = multiply(sk_c7,sk_c11)
| ~ spl0_12
| ~ spl0_23 ),
inference(superposition,[],[f175,f285]) ).
fof(f471,plain,
( sk_c9 = multiply(sk_c2,sk_c11)
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f242,f285]) ).
fof(f480,plain,
( ! [X0,X1] :
( sk_c11 != multiply(X0,multiply(X1,sk_c11))
| sk_c10 != inverse(multiply(X0,X1)) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f317,f285]) ).
fof(f481,plain,
( ! [X0,X1] :
( sk_c11 != multiply(X0,multiply(X1,sk_c11))
| sk_c11 != inverse(multiply(X0,X1)) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f480,f285]) ).
fof(f496,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(multiply(sk_c10,sk_c9))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f481,f310]) ).
fof(f511,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f496,f141]) ).
fof(f520,definition,
( spl0_28
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f524,definition,
( spl0_29
<=> sk_c11 = inverse(sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f540,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_2
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f511,f284,f140,f133,f524,f520]) ).
fof(f569,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f318,f336]) ).
fof(f570,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f318,f417]) ).
fof(f574,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c11)
| ~ spl0_4 ),
inference(superposition,[],[f318,f141]) ).
fof(f581,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_19 ),
inference(superposition,[],[f318,f242]) ).
fof(f583,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c11)
| ~ spl0_17 ),
inference(superposition,[],[f318,f222]) ).
fof(f605,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f583,f212]) ).
fof(f607,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f581,f232]) ).
fof(f614,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f574,f285]) ).
fof(f617,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f570,f3]) ).
fof(f618,plain,
( identity = sk_c10
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f569,f3]) ).
fof(f624,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f607,f141]) ).
fof(f626,plain,
( identity = sk_c9
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f614,f3]) ).
fof(f642,plain,
( spl0_23
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f624,f240,f230,f140,f284]) ).
fof(f698,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f318,f605]) ).
fof(f700,plain,
( identity = sk_c11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f698,f3]) ).
fof(f710,plain,
( spl0_24
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f700,f220,f210,f298]) ).
fof(f712,plain,
( sk_c11 = sk_c10
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f618,f299]) ).
fof(f714,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_24 ),
inference(superposition,[],[f1,f299]) ).
fof(f743,plain,
( spl0_23
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f712,f298,f260,f250,f284]) ).
fof(f829,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f318,f471]) ).
fof(f831,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f829,f232]) ).
fof(f832,plain,
( $false
| spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f831,f142]) ).
fof(f833,plain,
( spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f834,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f141,f285]) ).
fof(f895,plain,
( identity = sk_c1
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f288,f714]) ).
fof(f901,plain,
( sk_c1 = sk_c10
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f895,f618]) ).
fof(f905,plain,
( sk_c1 = sk_c11
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f901,f285]) ).
fof(f913,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f252,f905]) ).
fof(f914,plain,
( spl0_29
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f913,f298,f284,f260,f250,f524]) ).
fof(f929,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f137,f285]) ).
fof(f930,plain,
( sk_c11 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f617,f299]) ).
fof(f931,plain,
( sk_c11 = inverse(sk_c7)
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_demodulation,[],[f170,f285]) ).
fof(f973,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f3,f156]) ).
fof(f974,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f973,f714]) ).
fof(f976,plain,
( sk_c11 = sk_c8
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f974,f299]) ).
fof(f977,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f156,f976]) ).
fof(f982,plain,
( spl0_29
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f977,f298,f154,f524]) ).
fof(f991,plain,
( identity = multiply(sk_c9,sk_c11)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f3,f929]) ).
fof(f992,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f991,f626]) ).
fof(f998,plain,
( sk_c11 != sk_c11
| sk_c9 != multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f131,f156]) ).
fof(f999,plain,
( sk_c11 != sk_c10
| sk_c9 != multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_18 ),
inference(superposition,[],[f131,f232]) ).
fof(f1002,plain,
( sk_c9 != multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f998]) ).
fof(f1004,plain,
( sk_c9 != multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f999,f285]) ).
fof(f1005,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1002,f165]) ).
fof(f1006,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1008,plain,
( $false
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1004,f471]) ).
fof(f1009,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1010,plain,
( ! [X1] :
( sk_c9 != multiply(X1,sk_c11)
| sk_c10 != inverse(X1) )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f148,f285]) ).
fof(f1011,plain,
( ! [X1] :
( sk_c11 != inverse(X1)
| sk_c9 != multiply(X1,sk_c11) )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1010,f285]) ).
fof(f1012,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1011,f284,f147,f130]) ).
fof(f1013,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c11) )
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f151,f285]) ).
fof(f1015,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c7,sk_c11)
| ~ spl0_7
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f1013,f931]) ).
fof(f1017,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f1013,f232]) ).
fof(f1021,plain,
( sk_c11 != multiply(sk_c7,sk_c11)
| ~ spl0_7
| ~ spl0_11
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1015]) ).
fof(f1022,plain,
( sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_7
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1017,f285]) ).
fof(f1024,plain,
( $false
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1021,f469]) ).
fof(f1025,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1027,plain,
( ! [X2,X4] :
( sk_c11 != multiply(inverse(X2),sk_c11)
| sk_c11 != multiply(X2,inverse(X2))
| inverse(X4) != multiply(X4,inverse(X2))
| inverse(X2) != inverse(inverse(X4)) )
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f145,f285]) ).
fof(f1031,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c8,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_23 ),
inference(superposition,[],[f1027,f156]) ).
fof(f1032,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c2,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f1027,f232]) ).
fof(f1037,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c2,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1032,f285]) ).
fof(f1038,plain,
( ! [X0] :
( sk_c11 != sk_c9
| sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1031,f165]) ).
fof(f1049,plain,
( ! [X0] :
( sk_c11 != sk_c9
| sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1037,f242]) ).
fof(f1051,definition,
( spl0_39
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1052,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1065,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f318,f992]) ).
fof(f1067,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1065,f3]) ).
fof(f1075,definition,
( spl0_41
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1076,plain,
( sk_c11 = sk_c9
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1078,plain,
( spl0_39
| ~ spl0_28
| ~ spl0_41
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1038,f284,f163,f154,f144,f1075,f520,f1051]) ).
fof(f1079,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c9
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1049,f285]) ).
fof(f1080,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1067,f284,f140,f136,f298]) ).
fof(f1085,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c9
| sk_c11 != multiply(sk_c11,sk_c11) )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1079,f285]) ).
fof(f1087,plain,
( ~ spl0_28
| ~ spl0_41
| spl0_39
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1085,f284,f240,f230,f144,f1051,f1075,f520]) ).
fof(f1106,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_23
| ~ spl0_41 ),
inference(superposition,[],[f834,f1076]) ).
fof(f1107,plain,
( spl0_28
| ~ spl0_4
| ~ spl0_23
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1106,f1075,f284,f140,f520]) ).
fof(f1111,plain,
( sk_c11 = sk_c9
| ~ spl0_4
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f626,f299]) ).
fof(f1113,plain,
( sk_c11 != inverse(sk_c9)
| sk_c9 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39 ),
inference(superposition,[],[f1052,f929]) ).
fof(f1132,plain,
( sk_c11 != inverse(sk_c11)
| sk_c9 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1113,f1076]) ).
fof(f1136,plain,
( sk_c11 != sk_c9
| sk_c9 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1132,f929]) ).
fof(f1141,plain,
( sk_c9 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1136,f1076]) ).
fof(f1145,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1141,f1076]) ).
fof(f1147,plain,
( ~ spl0_28
| ~ spl0_3
| ~ spl0_23
| ~ spl0_39
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1145,f1075,f1051,f284,f136,f520]) ).
fof(f1162,plain,
( sk_c11 != sk_c9
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1022,f471]) ).
fof(f1195,plain,
( sk_c11 = sk_c10
| ~ spl0_26
| ~ spl0_41 ),
inference(forward_demodulation,[],[f386,f1076]) ).
fof(f1203,plain,
( $false
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1162,f1076]) ).
fof(f1204,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1221,plain,
( sk_c11 != inverse(sk_c11)
| spl0_3
| ~ spl0_23
| ~ spl0_41 ),
inference(forward_demodulation,[],[f467,f1076]) ).
fof(f1230,plain,
( ~ spl0_29
| spl0_3
| ~ spl0_23
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1221,f1075,f284,f136,f524]) ).
fof(f1234,plain,
( spl0_41
| ~ spl0_4
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1111,f298,f284,f140,f1075]) ).
fof(f1239,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_3 ),
inference(superposition,[],[f3,f137]) ).
fof(f1269,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f141,f386]) ).
fof(f1378,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_27 ),
inference(superposition,[],[f3,f462]) ).
fof(f1380,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1378,f1269]) ).
fof(f1382,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1380,f461,f385,f140,f298]) ).
fof(f1401,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| spl0_27 ),
inference(forward_demodulation,[],[f463,f137]) ).
fof(f1402,plain,
( ~ spl0_26
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f1401,f461,f136,f385]) ).
fof(f1445,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1239,f617]) ).
fof(f1461,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f318,f1445]) ).
fof(f1463,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1461,f3]) ).
fof(f1465,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f617,f1463]) ).
fof(f1488,plain,
( spl0_26
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1465,f163,f154,f136,f385]) ).
fof(f1490,plain,
( $false
| spl0_23
| ~ spl0_26
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1195,f286]) ).
fof(f1491,plain,
( spl0_23
| ~ spl0_26
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1495,plain,
( spl0_41
| ~ spl0_8
| ~ spl0_10
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f930,f298,f163,f154,f1075]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f152]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f213]) ).
cnf(s30,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f217]) ).
cnf(s31,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f218]) ).
cnf(s32,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f223]) ).
cnf(s36,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f227]) ).
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(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(s60,plain,
( spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f267]) ).
cnf(s61,plain,
( spl0_4
| spl0_21 ),
inference(sat_conversion,[],[f268]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_20
| ~ spl0_21
| spl0_26 ),
inference(sat_conversion,[],[f402]) ).
cnf(s81,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_23
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f540]) ).
cnf(s89,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19
| spl0_23 ),
inference(sat_conversion,[],[f642]) ).
cnf(s94,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_24 ),
inference(sat_conversion,[],[f710]) ).
cnf(s102,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f743]) ).
cnf(s123,plain,
( spl0_4
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f833]) ).
cnf(s127,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_24
| spl0_29 ),
inference(sat_conversion,[],[f914]) ).
cnf(s137,plain,
( ~ spl0_8
| ~ spl0_24
| spl0_29 ),
inference(sat_conversion,[],[f982]) ).
cnf(s139,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s140,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s141,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_23 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s142,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_23 ),
inference(sat_conversion,[],[f1025]) ).
cnf(s149,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_28
| spl0_39
| ~ spl0_41 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s150,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s153,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23
| ~ spl0_28
| spl0_39
| ~ spl0_41 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s165,plain,
( ~ spl0_4
| ~ spl0_23
| spl0_28
| ~ spl0_41 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s172,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_28
| ~ spl0_39
| ~ spl0_41 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s203,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23
| ~ spl0_41 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s217,plain,
( spl0_3
| ~ spl0_23
| ~ spl0_29
| ~ spl0_41 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s225,plain,
( ~ spl0_4
| ~ spl0_23
| ~ spl0_24
| spl0_41 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s252,plain,
( ~ spl0_4
| spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s259,plain,
( ~ spl0_3
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s280,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| spl0_26 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s283,plain,
( spl0_23
| ~ spl0_26
| ~ spl0_41 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s285,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_24
| spl0_41 ),
inference(sat_conversion,[],[f1495]) ).
cnf(s290,plain,
spl0_3,
inference(rat,[],[s225,s217,s123,s127,s102,s94,s30,s36,s42,s48,s54,s60]) ).
cnf(s291,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s203,s225,s94,s89,s26,s32,s38,s44]) ).
cnf(s292,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_24
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s203,s225,s89]) ).
cnf(s293,plain,
( spl0_19
| ~ spl0_24
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s283,s280,s285,s142,s45,s46,s47,s290]) ).
cnf(s294,plain,
( ~ spl0_24
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s283,s280,s285,s142,s39,s40,s41,s292,s293,s291,s290]) ).
cnf(s295,plain,
( ~ spl0_26
| spl0_24
| ~ spl0_4 ),
inference(rat,[],[s252,s259,s290]) ).
cnf(s296,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s89,s39,s45,s280,s295,s150,s294,s291,s290]) ).
cnf(s297,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_24
| spl0_23 ),
inference(rat,[],[s283,s280,s285,s290]) ).
cnf(s298,plain,
( spl0_10
| ~ spl0_24
| spl0_23 ),
inference(rat,[],[s102,s51,s57]) ).
cnf(s299,plain,
( ~ spl0_10
| ~ spl0_24
| spl0_23 ),
inference(rat,[],[s102,s50,s56,s297]) ).
cnf(s300,plain,
( ~ spl0_24
| spl0_23 ),
inference(rat,[],[s299,s298]) ).
cnf(s301,plain,
( spl0_10
| spl0_23
| ~ spl0_4 ),
inference(rat,[],[s89,s39,s45]) ).
cnf(s302,plain,
( ~ spl0_10
| spl0_26 ),
inference(rat,[],[s68,s50,s56,s280,s290]) ).
cnf(s303,plain,
( spl0_23
| ~ spl0_4 ),
inference(rat,[],[s302,s301,s295,s300]) ).
cnf(s304,plain,
( spl0_10
| ~ spl0_28
| ~ spl0_5
| ~ spl0_41
| ~ spl0_23 ),
inference(rat,[],[s153,s39,s45,s172,s290]) ).
cnf(s305,plain,
( ~ spl0_10
| ~ spl0_41
| ~ spl0_5
| ~ spl0_23
| ~ spl0_28
| spl0_39 ),
inference(rat,[],[s153,s38,s44,s149]) ).
cnf(s306,plain,
( ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s305,s304,s172,s165,s1,s225,s141,s150,s303,s296,s290]) ).
cnf(s307,plain,
spl0_4,
inference(rat,[],[s94,s102,s123,s31,s37,s43,s49,s55,s61]) ).
cnf(s309,plain,
spl0_23,
inference(rat,[],[s303,s307]) ).
cnf(s310,plain,
spl0_24,
inference(rat,[],[s150,s307,s290,s309]) ).
cnf(s311,plain,
spl0_41,
inference(rat,[],[s225,s307,s310,s309]) ).
cnf(s312,plain,
spl0_28,
inference(rat,[],[s165,s309,s307,s311]) ).
cnf(s314,plain,
spl0_29,
inference(rat,[],[s127,s50,s56,s137,s309,s310]) ).
cnf(s317,plain,
~ spl0_2,
inference(rat,[],[s81,s309,s307,s312,s314]) ).
cnf(s321,plain,
spl0_1,
inference(rat,[],[s306,s307,s317]) ).
cnf(s324,plain,
spl0_10,
inference(rat,[],[s140,s39,s45,s309,s321]) ).
cnf(s326,plain,
~ spl0_8,
inference(rat,[],[s139,s321,s324]) ).
cnf(s329,plain,
spl0_19,
inference(rat,[],[s44,s326]) ).
cnf(s330,plain,
spl0_18,
inference(rat,[],[s38,s326]) ).
cnf(s337,plain,
$false,
inference(rat,[],[s140,s321,s309,s329,s330]) ).
fof(f1505,plain,
$false,
inference(avatar_sat_refutation,[],[s337]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:36:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/1.39 % (1162365)Input is clausal, will run a generic CNF schedule.
% 2.67/1.39 % (1162376)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=712363544:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.39 % (1162377)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1880864927:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.39 % (1162375)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3463563596:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.39 % (1162381)dis-21_1_sil=8000:lcm=predicate:random_seed=3743023239:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.67/1.39 % (1162380)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4136806136:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.39 % (1162378)lrs+10_1_sil=8000:sp=occurrence:random_seed=2649882357:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.39 % (1162379)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3593435014:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.39 % (1162381)Refutation not found, incomplete strategy
% 2.67/1.39 % (1162381)------------------------------
% 2.67/1.39 % (1162381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.39 % (1162381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.39 % (1162381)CaDiCaL version: 2.1.3
% 2.67/1.39 % (1162381)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.39 % (1162381)Time elapsed: 0.003 s
% 2.67/1.39 % (1162381)Peak memory usage: 88 MB
% 2.67/1.39 % (1162381)Instructions burned: 3 (million)
% 2.67/1.39 % (1162380)First to succeed.
% 2.67/1.39 % (1162380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1162365"
% 2.67/1.39 % (1162378)Instruction limit reached!
% 2.67/1.39 % (1162378)------------------------------
% 2.67/1.39 % (1162378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.39 % (1162378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.39 % (1162378)CaDiCaL version: 2.1.3
% 2.67/1.39 % (1162378)Termination reason: Instruction limit
% 2.67/1.39 % (1162378)Termination phase: Saturation
% 2.67/1.39 % (1162378)Time elapsed: 0.052 s
% 2.67/1.39 % (1162378)Peak memory usage: 89 MB
% 2.67/1.39 % (1162378)Instructions burned: 107 (million)
% 2.67/1.39 % (1162379)Instruction limit reached!
% 2.67/1.39 % (1162379)------------------------------
% 2.67/1.39 % (1162379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.39 % (1162379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.39 % (1162379)CaDiCaL version: 2.1.3
% 2.67/1.39 % (1162379)Termination reason: Instruction limit
% 2.67/1.39 % (1162379)Termination phase: Saturation
% 2.67/1.39 % (1162379)Time elapsed: 0.065 s
% 2.67/1.39 % (1162379)Peak memory usage: 89 MB
% 2.67/1.39 % (1162379)Instructions burned: 114 (million)
% 2.67/1.39 % (1162451)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2347528733:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.67/1.39 % (1162444)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=237802416:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.67/1.39 % (1162381)------------------------------
% 2.67/1.39 % (1162381)------------------------------
% 2.67/1.39 % (1162444)Instruction limit reached!
% 2.67/1.39 % (1162444)------------------------------
% 2.67/1.39 % (1162444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.39 % (1162444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.39 % (1162444)CaDiCaL version: 2.1.3
% 2.67/1.39 % (1162444)Termination reason: Instruction limit
% 2.67/1.39 % (1162444)Termination phase: Saturation
% 2.67/1.39 % (1162444)Time elapsed: 0.072 s
% 2.67/1.39 % (1162444)Peak memory usage: 90 MB
% 2.67/1.39 % (1162444)Instructions burned: 145 (million)
% 2.67/1.39 % (1162380)Refutation found. Thanks to Tanya!
% 2.67/1.39 % SZS status Unsatisfiable for theBenchmark
% 2.67/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.58 % (1162380)------------------------------
% 3.70/1.58 % (1162380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.58 % (1162380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.58 % (1162380)CaDiCaL version: 2.1.3
% 3.70/1.58 % (1162380)Termination reason: Refutation
% 3.70/1.58 % (1162380)Time elapsed: 0.033 s
% 3.70/1.58 % (1162380)Peak memory usage: 90 MB
% 3.70/1.58 % (1162380)Instructions burned: 51 (million)
% 3.70/1.58 % (1162380)------------------------------
% 3.70/1.58 % (1162380)------------------------------
% 3.70/1.58 % (1162365)Success in time 0.422 s
% 3.70/1.58 % Vampire exiting
%------------------------------------------------------------------------------