%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP384-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:13:48 AM UTC 2026
% Result : Unsatisfiable 2.72s 1.36s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 55
% Syntax : Number of formulae : 416 ( 24 unt; 20 def)
% Number of atoms : 1712 ( 468 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 2545 (1249 ~;1276 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f12,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f43,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f63,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f71,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f91,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f103,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f106,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f105]) ).
fof(f111,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f112,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f114,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f113]) ).
fof(f123,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X0,X1) != sk_c10
| inverse(X0) != X1
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f124,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| multiply(X0,X1) != sk_c10
| inverse(X0) != X1
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X0,inverse(X0))
| sk_c10 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(equality_resolution,[],[f124]) ).
fof(f126,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X0,inverse(X0))
| sk_c10 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f125]) ).
fof(f127,plain,
! [X2,X3,X0,X6,X4] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X0,inverse(X0))
| sk_c10 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f126]) ).
fof(f129,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f130,plain,
( ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f133,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f136,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,definition,
( spl0_4
<=> ! [X0] :
( sk_c10 != multiply(X0,inverse(X0))
| sk_c10 != multiply(inverse(X0),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f139,plain,
( ! [X0] :
( sk_c10 != multiply(X0,inverse(X0))
| sk_c10 != multiply(inverse(X0),sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl0_5
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f142,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f145,definition,
( spl0_6
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f147,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| spl0_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl0_7
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f150,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f151,plain,
( inverse(sk_c11) != sk_c10
| spl0_7 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f127,f149,f145,f141,f138,f135,f132,f129]) ).
fof(f158,definition,
( spl0_9
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f160,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f163,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f165,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f168,definition,
( spl0_11
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f170,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f173,definition,
( spl0_12
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f175,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f178,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f180,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f114,f158,f178]) ).
fof(f183,definition,
( spl0_14
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f185,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f112,f158,f183]) ).
fof(f188,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f190,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f193,definition,
( spl0_16
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f195,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f198,definition,
( spl0_17
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f199,plain,
( sk_c11 != inverse(sk_c3)
| spl0_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,plain,
( spl0_17
| spl0_9 ),
inference(avatar_split_clause,[],[f106,f158,f198]) ).
fof(f203,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f205,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( spl0_18
| spl0_9 ),
inference(avatar_split_clause,[],[f104,f158,f203]) ).
fof(f208,definition,
( spl0_19
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f210,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f215,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f94,f208,f178]) ).
fof(f216,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f92,f208,f183]) ).
fof(f219,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f86,f208,f198]) ).
fof(f220,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f84,f208,f203]) ).
fof(f222,definition,
( spl0_20
<=> sk_c10 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f224,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f229,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f74,f222,f178]) ).
fof(f230,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f72,f222,f183]) ).
fof(f233,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f66,f222,f198]) ).
fof(f234,plain,
( spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f64,f222,f203]) ).
fof(f239,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f141,f178]) ).
fof(f240,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f141,f183]) ).
fof(f241,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f141,f188]) ).
fof(f242,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f141,f193]) ).
fof(f243,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f141,f198]) ).
fof(f244,plain,
( spl0_18
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f141,f203]) ).
fof(f249,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f145,f178]) ).
fof(f250,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f145,f183]) ).
fof(f251,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f145,f188]) ).
fof(f252,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f145,f193]) ).
fof(f253,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f145,f198]) ).
fof(f254,plain,
( spl0_18
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f145,f203]) ).
fof(f256,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f20,f149,f163]) ).
fof(f257,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f149,f168]) ).
fof(f258,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f17,f149,f173]) ).
fof(f259,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f149,f178]) ).
fof(f260,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f13,f149,f183]) ).
fof(f263,plain,
( spl0_17
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f149,f198]) ).
fof(f264,plain,
( spl0_18
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f149,f203]) ).
fof(f265,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_17 ),
inference(superposition,[],[f3,f200]) ).
fof(f268,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f3,f170]) ).
fof(f269,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f3,f165]) ).
fof(f272,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f273,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_18 ),
inference(superposition,[],[f4,f205]) ).
fof(f278,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f272,f1]) ).
fof(f281,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f265]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f281,f1]) ).
fof(f295,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f282,f205]) ).
fof(f304,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f273,f295]) ).
fof(f306,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f304,f205]) ).
fof(f340,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f278,f3]) ).
fof(f341,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f278,f278]) ).
fof(f342,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_17 ),
inference(superposition,[],[f278,f265]) ).
fof(f344,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f278,f295]) ).
fof(f347,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c10)
| ~ spl0_18 ),
inference(superposition,[],[f278,f205]) ).
fof(f349,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f278,f195]) ).
fof(f352,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_14 ),
inference(superposition,[],[f278,f185]) ).
fof(f358,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f278,f269]) ).
fof(f361,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f278,f268]) ).
fof(f364,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f361,f165]) ).
fof(f369,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f352,f180]) ).
fof(f372,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f349,f190]) ).
fof(f376,plain,
( identity = sk_c10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f344,f3]) ).
fof(f378,plain,
( multiply(sk_c8,sk_c10) = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f364,f376]) ).
fof(f379,plain,
( sk_c11 = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f378,f175]) ).
fof(f383,plain,
( inverse(sk_c11) = sk_c6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f170,f379]) ).
fof(f390,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f278,f369]) ).
fof(f392,plain,
( identity = sk_c11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f390,f3]) ).
fof(f395,plain,
( sk_c11 = sk_c10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f392,f376]) ).
fof(f403,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f369,f395]) ).
fof(f404,plain,
( sk_c11 = sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f403,f175]) ).
fof(f406,plain,
( sk_c10 = sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f404,f395]) ).
fof(f409,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f278,f372]) ).
fof(f411,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f409,f3]) ).
fof(f414,plain,
( sk_c10 = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f411,f376]) ).
fof(f418,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f342,f376]) ).
fof(f419,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f418,f395]) ).
fof(f420,plain,
( identity = sk_c3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f419,f3]) ).
fof(f421,plain,
( sk_c10 = sk_c3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f420,f376]) ).
fof(f482,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c10)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f358,f376]) ).
fof(f483,plain,
( sk_c6 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f482,f406]) ).
fof(f484,plain,
( identity = sk_c6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f483,f3]) ).
fof(f485,plain,
( sk_c10 = sk_c6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f484,f376]) ).
fof(f502,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f383,f485]) ).
fof(f503,plain,
( $false
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f502,f151]) ).
fof(f504,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f505,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f143,f414]) ).
fof(f506,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f150,f395]) ).
fof(f508,plain,
( sk_c11 != sk_c10
| spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f505,f295]) ).
fof(f509,plain,
( $false
| spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f508,f395]) ).
fof(f510,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f512,plain,
( sk_c11 != sk_c10
| spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f147,f372]) ).
fof(f514,plain,
( $false
| spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f512,f395]) ).
fof(f515,plain,
( spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f516,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f136,f395]) ).
fof(f518,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f516,f395]) ).
fof(f523,plain,
( sk_c11 != sk_c10
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f518,f200]) ).
fof(f534,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f523,f395]) ).
fof(f542,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f534,f421]) ).
fof(f548,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f542,f306]) ).
fof(f549,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f624,plain,
( ! [X6,X4] :
( sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f130,f395]) ).
fof(f625,plain,
( ! [X6,X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f624,f395]) ).
fof(f626,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f625,f506]) ).
fof(f633,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f626]) ).
fof(f640,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f633,f306]) ).
fof(f670,plain,
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c3,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f640,f200]) ).
fof(f679,plain,
( sk_c10 != inverse(sk_c10)
| sk_c11 != multiply(sk_c3,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f670,f395]) ).
fof(f685,plain,
( sk_c11 != multiply(sk_c3,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f679,f506]) ).
fof(f693,plain,
( sk_c11 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f685,f421]) ).
fof(f697,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f693,f306]) ).
fof(f703,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f697,f395]) ).
fof(f704,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f707,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f142,f395]) ).
fof(f710,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_19 ),
inference(superposition,[],[f3,f210]) ).
fof(f712,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c10)
| ~ spl0_9 ),
inference(superposition,[],[f278,f160]) ).
fof(f714,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_20 ),
inference(superposition,[],[f278,f224]) ).
fof(f716,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f714,f210]) ).
fof(f719,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f278,f707]) ).
fof(f721,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f719,f3]) ).
fof(f724,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f721,f376]) ).
fof(f730,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c10) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f133,f724]) ).
fof(f734,plain,
( sk_c11 != sk_c10
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f730,f200]) ).
fof(f745,definition,
( spl0_22
<=> sk_c10 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f746,plain,
( sk_c10 = sk_c2
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f752,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f734,f395]) ).
fof(f758,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f752,f421]) ).
fof(f764,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f758,f306]) ).
fof(f765,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f768,plain,
( ! [X0] :
( sk_c10 != multiply(inverse(X0),sk_c10)
| sk_c10 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f139,f724]) ).
fof(f769,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f278,f716]) ).
fof(f771,plain,
( identity = sk_c10
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f769,f3]) ).
fof(f773,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| sk_c10 != multiply(sk_c3,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f768,f200]) ).
fof(f785,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f773,f205]) ).
fof(f793,plain,
( sk_c11 != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f785,f295]) ).
fof(f800,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f793,f395]) ).
fof(f801,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f815,plain,
( sk_c11 = sk_c10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f771,f392]) ).
fof(f818,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f150,f815]) ).
fof(f824,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f142,f815]) ).
fof(f846,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f278,f824]) ).
fof(f847,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f4,f824]) ).
fof(f848,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f846,f3]) ).
fof(f851,plain,
( sk_c11 = sk_c9
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f848,f392]) ).
fof(f853,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f851,f815]) ).
fof(f985,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f847,f853]) ).
fof(f1051,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c10),multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f278,f985]) ).
fof(f1054,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1051,f278]) ).
fof(f1082,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f347,f815]) ).
fof(f1116,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f712,f746]) ).
fof(f1117,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1116,f3]) ).
fof(f1131,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c3),multiply(sk_c10,X0))
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f4,f1082]) ).
fof(f1133,plain,
( ! [X0] : multiply(inverse(sk_c3),X0) = X0
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1131,f1054]) ).
fof(f1213,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f3,f1133]) ).
fof(f1220,plain,
( sk_c11 = sk_c3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1213,f392]) ).
fof(f1227,plain,
( sk_c10 = sk_c3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1220,f815]) ).
fof(f1232,plain,
( sk_c11 != inverse(sk_c10)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f199,f1227]) ).
fof(f1243,plain,
( sk_c11 != sk_c10
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1232,f818]) ).
fof(f1245,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1243,f815]) ).
fof(f1246,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1245]) ).
fof(f1322,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c11) = X0
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f340,f392]) ).
fof(f1323,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1322,f815]) ).
fof(f1354,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f341,f1323]) ).
fof(f1358,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f3,f341]) ).
fof(f1365,plain,
( ! [X0] : sk_c11 = multiply(X0,inverse(X0))
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1358,f392]) ).
fof(f1372,plain,
( ! [X0] : sk_c10 = multiply(X0,inverse(X0))
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1365,f815]) ).
fof(f2156,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f136,f815]) ).
fof(f2157,plain,
( ! [X2] :
( sk_c10 != X2
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2156,f1354]) ).
fof(f2158,plain,
( ! [X2] :
( sk_c10 != X2
| sk_c10 != inverse(X2) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2157,f815]) ).
fof(f2159,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(equality_resolution,[],[f2158]) ).
fof(f2160,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f2159,f818]) ).
fof(f2161,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2162,plain,
( ! [X3] :
( sk_c9 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f133,f1354]) ).
fof(f2163,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2162,f853]) ).
fof(f2164,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(equality_resolution,[],[f2163]) ).
fof(f2165,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f2164,f818]) ).
fof(f2166,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2167,plain,
( ! [X0] : sk_c10 != multiply(inverse(X0),sk_c9)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f139,f1372]) ).
fof(f2168,plain,
( ! [X0] : sk_c10 != multiply(inverse(X0),sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2167,f853]) ).
fof(f2169,plain,
( ! [X0] : inverse(X0) != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2168,f1354]) ).
fof(f2172,plain,
( sk_c10 != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f2169,f150]) ).
fof(f2180,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f2172]) ).
fof(f2181,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2191,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f710,f746]) ).
fof(f2197,plain,
( sk_c10 = sk_c9
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1117,f771]) ).
fof(f2205,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f340,f341]) ).
fof(f2229,plain,
( sk_c10 = multiply(sk_c10,sk_c1)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2191,f771]) ).
fof(f2231,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2205,f771]) ).
fof(f2245,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f142,f2197]) ).
fof(f2358,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f278,f2229]) ).
fof(f2360,plain,
( identity = sk_c1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2358,f3]) ).
fof(f2365,plain,
( sk_c10 = sk_c1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2360,f771]) ).
fof(f2495,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2245,f2231]) ).
fof(f2497,plain,
( ! [X6,X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f130,f2231]) ).
fof(f2504,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f150,f2495]) ).
fof(f2507,plain,
( ! [X6,X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2497,f2495]) ).
fof(f2508,plain,
( ! [X6,X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2507,f2495]) ).
fof(f2509,plain,
( ! [X0] :
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f2508,f150]) ).
fof(f2513,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2509]) ).
fof(f2532,plain,
( ! [X0] :
( sk_c11 != sk_c10
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2513,f2231]) ).
fof(f2534,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2532,f2495]) ).
fof(f2536,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2534,f2231]) ).
fof(f2591,plain,
( sk_c10 != inverse(sk_c2)
| sk_c1 != sk_c2
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f2536,f210]) ).
fof(f2593,plain,
( sk_c10 != inverse(sk_c10)
| sk_c1 != sk_c2
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2591,f746]) ).
fof(f2600,plain,
( sk_c1 != sk_c2
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2593,f2504]) ).
fof(f2603,plain,
( sk_c10 != sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2600,f746]) ).
fof(f2604,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2603,f2365]) ).
fof(f2605,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2604]) ).
fof(f2614,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_5 ),
inference(superposition,[],[f278,f142]) ).
fof(f2616,plain,
( inverse(sk_c11) = sk_c9
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2614,f2231]) ).
fof(f2618,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2616,f150]) ).
fof(f2629,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f160,f2618]) ).
fof(f2630,plain,
( sk_c10 = sk_c2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2629,f2231]) ).
fof(f2644,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f2630,f222,f208,f158,f149,f141,f745]) ).
fof(f2655,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f136,f2495]) ).
fof(f2656,plain,
( ! [X2] :
( sk_c10 != X2
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2655,f2231]) ).
fof(f2657,plain,
( ! [X2] :
( sk_c10 != X2
| sk_c10 != inverse(X2) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2656,f2495]) ).
fof(f2664,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(equality_resolution,[],[f2657]) ).
fof(f2675,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2664,f2504]) ).
fof(f2676,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2675]) ).
fof(f2677,plain,
( ! [X3] :
( sk_c9 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f133,f2231]) ).
fof(f2678,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2677,f2618]) ).
fof(f2679,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(equality_resolution,[],[f2678]) ).
fof(f2680,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2679,f2504]) ).
fof(f2681,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2682,plain,
( ! [X0] :
( sk_c10 != multiply(inverse(X0),sk_c10)
| sk_c10 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f139,f2618]) ).
fof(f2683,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2682,f2231]) ).
fof(f2693,plain,
( sk_c10 != sk_c2
| sk_c10 != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f2683,f210]) ).
fof(f2696,plain,
( sk_c10 != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2693,f746]) ).
fof(f2700,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2696,f224]) ).
fof(f2701,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2700]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f152]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f181]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f186]) ).
cnf(s10,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f201]) ).
cnf(s11,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f206]) ).
cnf(s16,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f215]) ).
cnf(s17,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f216]) ).
cnf(s20,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f219]) ).
cnf(s21,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f220]) ).
cnf(s26,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f229]) ).
cnf(s27,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f230]) ).
cnf(s30,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f233]) ).
cnf(s31,plain,
( spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f234]) ).
cnf(s36,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f239]) ).
cnf(s37,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f240]) ).
cnf(s38,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f241]) ).
cnf(s39,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f242]) ).
cnf(s40,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f243]) ).
cnf(s41,plain,
( spl0_5
| spl0_18 ),
inference(sat_conversion,[],[f244]) ).
cnf(s46,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f249]) ).
cnf(s47,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f250]) ).
cnf(s48,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f251]) ).
cnf(s49,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f252]) ).
cnf(s50,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f253]) ).
cnf(s51,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f254]) ).
cnf(s53,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f256]) ).
cnf(s54,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f257]) ).
cnf(s55,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f258]) ).
cnf(s56,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f259]) ).
cnf(s57,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f260]) ).
cnf(s60,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f263]) ).
cnf(s61,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f264]) ).
cnf(s62,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f504]) ).
cnf(s63,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f510]) ).
cnf(s64,plain,
( spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f515]) ).
cnf(s69,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f549]) ).
cnf(s88,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f704]) ).
cnf(s94,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f765]) ).
cnf(s99,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f801]) ).
cnf(s142,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s146,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s147,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s149,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s189,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f2605]) ).
cnf(s192,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s199,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s200,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f2681]) ).
cnf(s202,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f2701]) ).
cnf(s204,plain,
spl0_5,
inference(rat,[],[s63,s36,s37,s38,s39,s40,s41]) ).
cnf(s205,plain,
spl0_6,
inference(rat,[],[s64,s46,s47,s48,s49,s50,s51]) ).
cnf(s206,plain,
spl0_7,
inference(rat,[],[s62,s53,s54,s55,s56,s57,s60,s61]) ).
cnf(s207,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s99,s6,s7,s10,s11,s204]) ).
cnf(s208,plain,
( spl0_18
| ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s149,s21,s31,s204,s206]) ).
cnf(s209,plain,
( ~ spl0_18
| ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s142,s20,s30,s99,s206,s204]) ).
cnf(s210,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s209,s208]) ).
cnf(s211,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s202,s192,s17,s27,s207,s204,s206]) ).
cnf(s212,plain,
~ spl0_4,
inference(rat,[],[s202,s192,s16,s26,s210,s211,s207,s204,s206]) ).
cnf(s213,plain,
( spl0_18
| ~ spl0_14
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s146,s21,s31,s206]) ).
cnf(s214,plain,
( ~ spl0_18
| ~ spl0_14
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s142,s20,s30,s69,s206,s204]) ).
cnf(s215,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s214,s213]) ).
cnf(s216,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s199,s192,s7,s17,s27,s204,s206]) ).
cnf(s217,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s199,s192,s6,s16,s26,s215,s206,s204]) ).
cnf(s218,plain,
~ spl0_3,
inference(rat,[],[s217,s216]) ).
cnf(s219,plain,
( spl0_20
| ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s94,s30,s31,s204]) ).
cnf(s220,plain,
( ~ spl0_20
| ~ spl0_14
| ~ spl0_2
| ~ spl0_13 ),
inference(rat,[],[s94,s20,s21,s147,s206,s204]) ).
cnf(s221,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s220,s219]) ).
cnf(s222,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s200,s192,s7,s17,s27,s204,s206]) ).
cnf(s223,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s200,s192,s6,s16,s26,s221,s206,s204]) ).
cnf(s224,plain,
~ spl0_2,
inference(rat,[],[s223,s222]) ).
cnf(s225,plain,
spl0_1,
inference(rat,[],[s1,s218,s206,s212,s205,s204,s224]) ).
cnf(s226,plain,
( ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(rat,[],[s192,s189,s225,s206,s204]) ).
cnf(s227,plain,
( spl0_9
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s88,s10,s11,s206,s225]) ).
cnf(s228,plain,
( spl0_19
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s88,s20,s21,s206,s225]) ).
cnf(s229,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s88,s30,s31,s226,s228,s227,s225,s206]) ).
cnf(s230,plain,
spl0_14,
inference(rat,[],[s226,s7,s17,s27]) ).
cnf(s231,plain,
~ spl0_13,
inference(rat,[],[s229,s230]) ).
cnf(s232,plain,
spl0_20,
inference(rat,[],[s26,s231]) ).
cnf(s233,plain,
spl0_19,
inference(rat,[],[s16,s231]) ).
cnf(s234,plain,
spl0_9,
inference(rat,[],[s6,s231]) ).
cnf(s235,plain,
$false,
inference(rat,[],[s226,s234,s232,s233]) ).
fof(f2704,plain,
$false,
inference(avatar_sat_refutation,[],[s235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP384-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n002.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:02:51 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.36 % (3306404)Input is clausal, will run a generic CNF schedule.
% 2.72/1.36 % (3306504)dis-21_1_sil=8000:lcm=predicate:random_seed=3570544957: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)
% 2.72/1.36 % (3306504)Refutation not found, incomplete strategy
% 2.72/1.36 % (3306504)------------------------------
% 2.72/1.36 % (3306504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (3306504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (3306504)CaDiCaL version: 2.1.3
% 2.72/1.36 % (3306504)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.36 % (3306504)Time elapsed: 0.002 s
% 2.72/1.36 % (3306504)Peak memory usage: 88 MB
% 2.72/1.36 % (3306504)Instructions burned: 3 (million)
% 2.72/1.36 % (3306502)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3162088669:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.36 % (3306500)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=479575726:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.36 % (3306498)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=3102334414:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.36 % (3306499)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=694519462:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.36 % (3306501)lrs+10_1_sil=8000:sp=occurrence:random_seed=619938750:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.36 % (3306503)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1905446656:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.36 % (3306501)Refutation not found, incomplete strategy
% 2.72/1.36 % (3306501)------------------------------
% 2.72/1.36 % (3306501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (3306501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (3306501)CaDiCaL version: 2.1.3
% 2.72/1.36 % (3306501)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.36 % (3306501)Time elapsed: 0.004 s
% 2.72/1.36 % (3306501)Peak memory usage: 88 MB
% 2.72/1.36 % (3306501)Instructions burned: 6 (million)
% 2.72/1.36 % (3306503)First to succeed.
% 2.72/1.36 % (3306503)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3306404"
% 2.72/1.36 % (3306502)Instruction limit reached!
% 2.72/1.36 % (3306502)------------------------------
% 2.72/1.36 % (3306502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (3306502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (3306502)CaDiCaL version: 2.1.3
% 2.72/1.36 % (3306502)Termination reason: Instruction limit
% 2.72/1.36 % (3306502)Termination phase: Saturation
% 2.72/1.36 % (3306502)Time elapsed: 0.065 s
% 2.72/1.36 % (3306502)Peak memory usage: 89 MB
% 2.72/1.36 % (3306502)Instructions burned: 114 (million)
% 2.72/1.36 % (3306504)------------------------------
% 2.72/1.36 % (3306504)------------------------------
% 2.72/1.36 % (3306525)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=2658701141:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.72/1.36 % (3306525)Refutation not found, incomplete strategy
% 2.72/1.36 % (3306525)------------------------------
% 2.72/1.36 % (3306525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (3306525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (3306525)CaDiCaL version: 2.1.3
% 2.72/1.36 % (3306525)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.36 % (3306525)Time elapsed: 0.005 s
% 2.72/1.36 % (3306525)Peak memory usage: 88 MB
% 2.72/1.36 % (3306525)Instructions burned: 6 (million)
% 2.72/1.36 % (3306501)------------------------------
% 2.72/1.36 % (3306501)------------------------------
% 2.72/1.36 % (3306526)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=866870955: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)
% 2.72/1.36 % (3306526)Refutation not found, incomplete strategy
% 2.72/1.36 % (3306526)------------------------------
% 2.72/1.36 % (3306526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (3306526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (3306526)CaDiCaL version: 2.1.3
% 2.72/1.36 % (3306526)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.36 % (3306526)Time elapsed: 0.003 s
% 2.72/1.36 % (3306526)Peak memory usage: 88 MB
% 2.72/1.36 % (3306526)Instructions burned: 6 (million)
% 2.72/1.36 % (3306503)Refutation found. Thanks to Tanya!
% 2.72/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.56 % (3306503)------------------------------
% 3.96/1.56 % (3306503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.56 % (3306503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.56 % (3306503)CaDiCaL version: 2.1.3
% 3.96/1.56 % (3306503)Termination reason: Refutation
% 3.96/1.56 % (3306503)Time elapsed: 0.047 s
% 3.96/1.56 % (3306503)Peak memory usage: 90 MB
% 3.96/1.56 % (3306503)Instructions burned: 75 (million)
% 3.96/1.56 % (3306503)------------------------------
% 3.96/1.56 % (3306503)------------------------------
% 3.96/1.56 % (3306404)Success in time 0.478 s
% 3.96/1.56 % Vampire exiting
%------------------------------------------------------------------------------