%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP338-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:31 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 54
% Syntax : Number of formulae : 436 ( 20 unt; 21 def)
% Number of atoms : 1761 ( 468 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2631 (1306 ~;1304 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c11 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f44,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f54]) ).
fof(f66,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f74]) ).
fof(f84,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f94]) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| multiply(X0,sk_c10) != sk_c11
| multiply(X1,sk_c10) != sk_c11
| inverse(X1) != 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_51) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c11 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| 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,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c11 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| 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,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c11 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| 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,[],[f106]) ).
fof(f109,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(f110,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,[],[f109]) ).
fof(f112,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f113,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f116,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl0_4
<=> ! [X1] :
( sk_c11 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X1] :
( sk_c11 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,definition,
( spl0_6
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f125,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f107,f124,f121,f118,f115,f112,f109]) ).
fof(f133,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f135,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f153,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f95,f133,f153]) ).
fof(f158,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f160,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f93,f133,f158]) ).
fof(f163,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f165,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f91,f133,f163]) ).
fof(f168,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f170,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f89,f133,f168]) ).
fof(f173,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f175,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f87,f133,f173]) ).
fof(f178,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f179,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| spl0_17 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f85,f133,f178]) ).
fof(f183,definition,
( spl0_18
<=> sk_c11 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f185,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f190,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f75,f183,f153]) ).
fof(f191,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f73,f183,f158]) ).
fof(f192,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f71,f183,f163]) ).
fof(f193,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f69,f183,f168]) ).
fof(f194,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f67,f183,f173]) ).
fof(f197,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f199,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f204,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f55,f197,f153]) ).
fof(f205,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f53,f197,f158]) ).
fof(f206,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f51,f197,f163]) ).
fof(f207,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f49,f197,f168]) ).
fof(f208,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f47,f197,f173]) ).
fof(f209,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f45,f197,f178]) ).
fof(f211,definition,
( spl0_20
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f213,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f218,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f35,f211,f153]) ).
fof(f219,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f33,f211,f158]) ).
fof(f220,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f31,f211,f163]) ).
fof(f221,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f29,f211,f168]) ).
fof(f222,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f27,f211,f173]) ).
fof(f223,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f25,f211,f178]) ).
fof(f228,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f124,f153]) ).
fof(f229,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f124,f158]) ).
fof(f230,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f124,f163]) ).
fof(f231,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f124,f168]) ).
fof(f232,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f124,f173]) ).
fof(f233,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f124,f178]) ).
fof(f234,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f175]) ).
fof(f241,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f247,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f241,f1]) ).
fof(f250,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f234]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f264,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f251,f180]) ).
fof(f315,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f247,f264]) ).
fof(f319,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f247,f170]) ).
fof(f321,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f247,f160]) ).
fof(f338,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f321,f155]) ).
fof(f340,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f319,f165]) ).
fof(f344,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f315,f3]) ).
fof(f380,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f247,f338]) ).
fof(f382,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f380,f3]) ).
fof(f385,plain,
( sk_c9 != multiply(sk_c10,identity)
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f126,f382]) ).
fof(f387,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f234,f382]) ).
fof(f396,plain,
( identity = sk_c3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f387,f1]) ).
fof(f398,plain,
( sk_c9 != multiply(identity,identity)
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f385,f344]) ).
fof(f400,plain,
( identity != sk_c9
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f398,f1]) ).
fof(f402,plain,
( identity = multiply(identity,sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f340,f344]) ).
fof(f403,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f402,f1]) ).
fof(f423,plain,
( $false
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f400,f403]) ).
fof(f424,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f426,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f403]) ).
fof(f486,plain,
( sk_c10 != multiply(sk_c3,identity)
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(forward_demodulation,[],[f179,f382]) ).
fof(f488,plain,
( identity = multiply(sk_c1,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f199,f382]) ).
fof(f489,plain,
( identity = inverse(sk_c1)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f213,f382]) ).
fof(f491,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f125,f382]) ).
fof(f493,plain,
( sk_c10 != multiply(identity,identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f486,f396]) ).
fof(f495,plain,
( identity != sk_c10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f493,f1]) ).
fof(f499,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f3,f489]) ).
fof(f500,plain,
( identity = sk_c1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f499,f1]) ).
fof(f510,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f488,f500]) ).
fof(f511,plain,
( identity = sk_c10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f510,f1]) ).
fof(f512,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f511,f495]) ).
fof(f513,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f515,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f213]) ).
fof(f520,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_18 ),
inference(superposition,[],[f247,f185]) ).
fof(f522,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f520,f135]) ).
fof(f532,plain,
( sk_c10 != sk_c11
| sk_c11 != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f116,f1]) ).
fof(f537,definition,
( spl0_23
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f538,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f539,plain,
( sk_c11 != inverse(sk_c10)
| spl0_23 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,definition,
( spl0_24
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f542,plain,
( sk_c10 = sk_c9
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f543,plain,
( sk_c10 != sk_c9
| spl0_24 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f550,definition,
( spl0_26
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f551,plain,
( identity = sk_c10
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f555,definition,
( spl0_27
<=> sk_c11 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f556,plain,
( sk_c11 = inverse(identity)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( sk_c11 != inverse(identity)
| spl0_27 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl0_28
<=> sk_c10 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f560,plain,
( sk_c10 = sk_c11
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( sk_c10 != sk_c11
| spl0_28 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f532,f115,f559,f555]) ).
fof(f599,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f125,f522]) ).
fof(f604,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f247,f522]) ).
fof(f607,plain,
( identity = sk_c11
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f604,f3]) ).
fof(f619,plain,
( sk_c9 = multiply(identity,sk_c11)
| ~ spl0_6
| ~ spl0_26 ),
inference(superposition,[],[f125,f551]) ).
fof(f632,plain,
( sk_c11 != inverse(identity)
| spl0_23
| ~ spl0_26 ),
inference(superposition,[],[f539,f551]) ).
fof(f633,plain,
( ~ spl0_27
| spl0_23
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f632,f550,f537,f555]) ).
fof(f643,plain,
( sk_c11 = sk_c9
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[],[f619,f1]) ).
fof(f661,plain,
( identity = sk_c11
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f560,f551]) ).
fof(f666,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_16
| ~ spl0_26
| ~ spl0_28 ),
inference(superposition,[],[f234,f661]) ).
fof(f668,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_20
| ~ spl0_26
| ~ spl0_28 ),
inference(superposition,[],[f515,f661]) ).
fof(f673,plain,
( identity = sk_c1
| ~ spl0_20
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f668,f1]) ).
fof(f675,plain,
( identity = sk_c3
| ~ spl0_16
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f666,f1]) ).
fof(f691,plain,
( identity != inverse(identity)
| ~ spl0_26
| spl0_27
| ~ spl0_28 ),
inference(forward_demodulation,[],[f557,f661]) ).
fof(f694,plain,
( sk_c11 = inverse(identity)
| ~ spl0_20
| ~ spl0_26
| ~ spl0_28 ),
inference(superposition,[],[f213,f673]) ).
fof(f695,plain,
( identity = inverse(identity)
| ~ spl0_20
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f694,f661]) ).
fof(f698,plain,
( $false
| ~ spl0_20
| ~ spl0_26
| spl0_27
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f695,f691]) ).
fof(f699,plain,
( ~ spl0_20
| ~ spl0_26
| spl0_27
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f701,plain,
( spl0_24
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f599,f183,f133,f124,f541]) ).
fof(f713,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_18
| ~ spl0_28 ),
inference(superposition,[],[f607,f560]) ).
fof(f719,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f515,f607]) ).
fof(f726,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f719,f1]) ).
fof(f732,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f113,f542]) ).
fof(f742,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_demodulation,[],[f170,f542]) ).
fof(f762,plain,
( sk_c10 = sk_c11
| ~ spl0_6
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f643,f542]) ).
fof(f763,plain,
( spl0_26
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f511,f211,f197,f158,f153,f550]) ).
fof(f764,plain,
( spl0_26
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f344,f178,f173,f550]) ).
fof(f765,plain,
( spl0_28
| ~ spl0_6
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f762,f550,f541,f124,f559]) ).
fof(f766,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f489,f213]) ).
fof(f775,plain,
( sk_c11 = inverse(identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f213,f500]) ).
fof(f776,plain,
( spl0_27
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f775,f211,f158,f153,f555]) ).
fof(f812,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_demodulation,[],[f491,f551]) ).
fof(f813,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_demodulation,[],[f812,f1]) ).
fof(f814,plain,
( identity != sk_c10
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f543,f813]) ).
fof(f815,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f814,f551]) ).
fof(f816,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f825,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f732,f551]) ).
fof(f827,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f742,f551]) ).
fof(f855,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f825,f551]) ).
fof(f883,plain,
( sk_c11 = inverse(identity)
| ~ spl0_16
| ~ spl0_26
| ~ spl0_28 ),
inference(superposition,[],[f175,f675]) ).
fof(f894,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f855,f3]) ).
fof(f896,plain,
( identity != identity
| identity != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f855,f827]) ).
fof(f898,plain,
( identity != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f896]) ).
fof(f900,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f894]) ).
fof(f902,plain,
( identity != sk_c10
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f898,f165]) ).
fof(f904,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f902,f551]) ).
fof(f905,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f908,plain,
( ! [X6,X4] :
( identity != 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_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f110,f766]) ).
fof(f909,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f908,f551]) ).
fof(f910,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f909,f766]) ).
fof(f916,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c1,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f910,f489]) ).
fof(f922,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c1,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f916,f1]) ).
fof(f940,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f922,f500]) ).
fof(f953,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f940,f1]) ).
fof(f968,plain,
( sk_c11 = inverse(identity)
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f538,f551]) ).
fof(f969,plain,
( identity = inverse(identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f968,f766]) ).
fof(f1046,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f953,f3]) ).
fof(f1053,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1046,f969]) ).
fof(f1058,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1053,f969]) ).
fof(f1063,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1058,f969]) ).
fof(f1069,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1063,f969]) ).
fof(f1075,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1069,f969]) ).
fof(f1076,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1103,plain,
( ! [X1] :
( sk_c11 != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f119,f551]) ).
fof(f1104,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1103,f766]) ).
fof(f1105,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1104,f551]) ).
fof(f1110,plain,
( identity != identity
| identity != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f1105,f827]) ).
fof(f1112,plain,
( identity != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1110]) ).
fof(f1116,plain,
( identity != sk_c10
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1112,f165]) ).
fof(f1121,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1116,f551]) ).
fof(f1122,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1128,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f894]) ).
fof(f1137,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f900,f969]) ).
fof(f1140,plain,
( identity = inverse(sk_c2)
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_demodulation,[],[f135,f551]) ).
fof(f1155,plain,
( sk_c11 = multiply(sk_c2,identity)
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f185,f551]) ).
fof(f1163,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1137,f969]) ).
fof(f1164,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1171,plain,
( ! [X0] :
( sk_c11 != multiply(X0,identity)
| inverse(X0) != sk_c11 )
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_demodulation,[],[f122,f551]) ).
fof(f1172,plain,
( identity = inverse(sk_c4)
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_demodulation,[],[f165,f551]) ).
fof(f1182,plain,
( identity = multiply(identity,sk_c11)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f426,f551]) ).
fof(f1198,plain,
( spl0_27
| ~ spl0_16
| ~ spl0_26
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f883,f559,f550,f173,f555]) ).
fof(f1220,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1182,f1]) ).
fof(f1237,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_8
| ~ spl0_26 ),
inference(superposition,[],[f3,f1140]) ).
fof(f1238,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1237,f1]) ).
fof(f1254,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c11 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1171,f1220]) ).
fof(f1255,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1254,f1220]) ).
fof(f1260,plain,
( identity != identity
| identity != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f1255,f827]) ).
fof(f1262,plain,
( identity != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1260]) ).
fof(f1266,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1262,f1172]) ).
fof(f1267,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1270,plain,
( ! [X6,X4] :
( identity != 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_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f110,f1220]) ).
fof(f1271,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1270,f551]) ).
fof(f1272,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1271,f1220]) ).
fof(f1274,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c4,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(superposition,[],[f1272,f1172]) ).
fof(f1286,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1274,f827]) ).
fof(f1292,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1286,f1]) ).
fof(f1309,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f556,f1220]) ).
fof(f1385,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f1292,f3]) ).
fof(f1392,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1385,f1309]) ).
fof(f1397,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1392,f1309]) ).
fof(f1404,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1397,f1309]) ).
fof(f1408,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1404,f1309]) ).
fof(f1410,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1408,f1309]) ).
fof(f1411,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1415,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1103,f1220]) ).
fof(f1417,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1415,f551]) ).
fof(f1423,plain,
( identity != identity
| identity != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f1417,f827]) ).
fof(f1425,plain,
( identity != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1423]) ).
fof(f1429,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1425,f1172]) ).
fof(f1430,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1438,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),identity)
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_26 ),
inference(forward_demodulation,[],[f110,f551]) ).
fof(f1449,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1155,f1238]) ).
fof(f1461,plain,
( identity = sk_c11
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1449,f1]) ).
fof(f1491,plain,
( ! [X6,X4] :
( identity != multiply(inverse(X4),identity)
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1438,f1461]) ).
fof(f1492,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1491,f1461]) ).
fof(f1498,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != multiply(sk_c2,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(superposition,[],[f1492,f1140]) ).
fof(f1502,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c2,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1498,f1]) ).
fof(f1507,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1502,f1238]) ).
fof(f1512,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1507,f1]) ).
fof(f1526,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f556,f1461]) ).
fof(f1582,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1128,f1526]) ).
fof(f1593,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1582,f1526]) ).
fof(f1594,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1593]) ).
fof(f1598,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c10 != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1103,f1461]) ).
fof(f1601,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1598,f551]) ).
fof(f1611,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(superposition,[],[f1601,f3]) ).
fof(f1619,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1611]) ).
fof(f1623,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1619,f1526]) ).
fof(f1626,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1623,f1526]) ).
fof(f1627,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1629,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c11 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1171,f1461]) ).
fof(f1631,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1629,f1461]) ).
fof(f1635,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(superposition,[],[f1631,f3]) ).
fof(f1643,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1635]) ).
fof(f1647,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1643,f1526]) ).
fof(f1650,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1647,f1526]) ).
fof(f1651,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1706,plain,
( identity = inverse(sk_c1)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f213,f607]) ).
fof(f1707,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1706,f726]) ).
fof(f1735,plain,
( sk_c11 = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f199,f726]) ).
fof(f1736,plain,
( sk_c10 = sk_c11
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1735,f1]) ).
fof(f1737,plain,
( $false
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1736,f561]) ).
fof(f1738,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
fof(f1778,plain,
( spl0_26
| ~ spl0_8
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f713,f559,f183,f133,f550]) ).
fof(f1780,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1736,f607]) ).
fof(f1791,plain,
( spl0_26
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1780,f211,f197,f183,f133,f550]) ).
fof(f1886,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26 ),
inference(superposition,[],[f1512,f3]) ).
fof(f1890,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1886,f1707]) ).
fof(f1892,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1890,f1707]) ).
fof(f1894,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1892,f1707]) ).
fof(f1897,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1894,f1707]) ).
fof(f1898,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1897,f1707]) ).
fof(f1899,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1898]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f156]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f161]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f166]) ).
cnf(s9,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f171]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f181]) ).
cnf(s16,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f190]) ).
cnf(s17,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s18,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s19,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s26,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f204]) ).
cnf(s27,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f205]) ).
cnf(s28,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
cnf(s29,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f207]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f208]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f209]) ).
cnf(s36,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f218]) ).
cnf(s37,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f219]) ).
cnf(s38,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f220]) ).
cnf(s39,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f221]) ).
cnf(s40,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f222]) ).
cnf(s41,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f223]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f228]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f229]) ).
cnf(s48,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f230]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f231]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f232]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f233]) ).
cnf(s52,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f424]) ).
cnf(s55,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f513]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f562]) ).
cnf(s63,plain,
( spl0_23
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f633]) ).
cnf(s65,plain,
( ~ spl0_20
| ~ spl0_26
| spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f699]) ).
cnf(s66,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| spl0_24 ),
inference(sat_conversion,[],[f701]) ).
cnf(s73,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_20
| spl0_26 ),
inference(sat_conversion,[],[f763]) ).
cnf(s74,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_26 ),
inference(sat_conversion,[],[f764]) ).
cnf(s75,plain,
( ~ spl0_6
| ~ spl0_24
| ~ spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f765]) ).
cnf(s76,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| spl0_27 ),
inference(sat_conversion,[],[f776]) ).
cnf(s79,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f816]) ).
cnf(s80,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f905]) ).
cnf(s92,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s99,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s105,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s106,plain,
( ~ spl0_16
| ~ spl0_26
| spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s108,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s123,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1411]) ).
cnf(s125,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s142,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_24
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s146,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s149,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s158,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_28 ),
inference(sat_conversion,[],[f1738]) ).
cnf(s162,plain,
( ~ spl0_8
| ~ spl0_18
| spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s167,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_26 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s172,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s173,plain,
spl0_6,
inference(rat,[],[s52,s46,s47,s48,s49,s50,s51]) ).
cnf(s174,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s79,s108,s74,s6,s7,s8,s9,s10,s11,s173]) ).
cnf(s175,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s79,s108,s74,s173]) ).
cnf(s176,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_5
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s55,s31,s41,s175]) ).
cnf(s177,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s149,s73,s76,s20,s30,s40,s174]) ).
cnf(s178,plain,
( spl0_15
| ~ spl0_13
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s149,s73,s76,s19,s29,s39,s174]) ).
cnf(s179,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s149,s73,s76,s18,s28,s38,s176,s178,s177,s174]) ).
cnf(s180,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s65,s149,s158,s167,s17,s27,s37,s174]) ).
cnf(s181,plain,
~ spl0_5,
inference(rat,[],[s65,s149,s158,s167,s16,s26,s36,s179,s180,s174]) ).
cnf(s182,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_4
| ~ spl0_24
| ~ spl0_13
| ~ spl0_26
| ~ spl0_12 ),
inference(rat,[],[s125,s40,s41,s99,s173]) ).
cnf(s183,plain,
( spl0_15
| ~ spl0_26
| ~ spl0_13
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s146,s76,s9,s19,s39]) ).
cnf(s184,plain,
( ~ spl0_15
| ~ spl0_24
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(rat,[],[s146,s76,s8,s18,s38,s182]) ).
cnf(s185,plain,
( ~ spl0_26
| ~ spl0_13
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s184,s183,s79,s173]) ).
cnf(s186,plain,
( spl0_20
| spl0_26 ),
inference(rat,[],[s74,s40,s41]) ).
cnf(s187,plain,
( ~ spl0_20
| ~ spl0_13
| ~ spl0_12
| spl0_26 ),
inference(rat,[],[s74,s30,s31,s73]) ).
cnf(s188,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s187,s186,s185]) ).
cnf(s189,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s146,s65,s162,s158,s7,s17,s27,s37]) ).
cnf(s190,plain,
( ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s146,s65,s162,s158,s6,s16,s26,s36,s188]) ).
cnf(s191,plain,
~ spl0_4,
inference(rat,[],[s190,s189]) ).
cnf(s192,plain,
( ~ spl0_26
| ~ spl0_13
| ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s40,s76,s106,s58,s75,s79,s173]) ).
cnf(s193,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s187,s186,s192]) ).
cnf(s194,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s58,s162,s158,s7,s17,s27,s37]) ).
cnf(s195,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s58,s162,s158,s6,s16,s26,s36,s193]) ).
cnf(s196,plain,
~ spl0_3,
inference(rat,[],[s195,s194]) ).
cnf(s197,plain,
( spl0_20
| ~ spl0_24
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s80,s38,s39]) ).
cnf(s198,plain,
( ~ spl0_26
| ~ spl0_13
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s63,s105,s76,s197,s79,s173]) ).
cnf(s199,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s187,s186,s198]) ).
cnf(s200,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s142,s65,s162,s66,s158,s7,s17,s27,s37,s173]) ).
cnf(s201,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s142,s65,s162,s66,s158,s6,s16,s26,s36,s199,s173]) ).
cnf(s202,plain,
~ spl0_2,
inference(rat,[],[s201,s200]) ).
cnf(s203,plain,
spl0_1,
inference(rat,[],[s1,s173,s191,s181,s196,s202]) ).
cnf(s204,plain,
( spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(rat,[],[s123,s106,s38,s39,s40,s41,s75,s203,s173]) ).
cnf(s205,plain,
( ~ spl0_26
| ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s63,s92,s76,s204,s79,s173,s203]) ).
cnf(s206,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s187,s186,s205]) ).
cnf(s207,plain,
( ~ spl0_18
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(rat,[],[s162,s172,s158,s203]) ).
cnf(s208,plain,
spl0_13,
inference(rat,[],[s207,s7,s17,s27,s37]) ).
cnf(s209,plain,
~ spl0_12,
inference(rat,[],[s206,s208]) ).
cnf(s210,plain,
spl0_20,
inference(rat,[],[s36,s209]) ).
cnf(s211,plain,
spl0_19,
inference(rat,[],[s26,s209]) ).
cnf(s212,plain,
spl0_18,
inference(rat,[],[s16,s209]) ).
cnf(s213,plain,
spl0_8,
inference(rat,[],[s6,s209]) ).
cnf(s214,plain,
$false,
inference(rat,[],[s207,s210,s211,s213,s212]) ).
fof(f1900,plain,
$false,
inference(avatar_sat_refutation,[],[s214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP338-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.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
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 09:55:04 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.48 % (3146725)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (3146733)dis+10_1_sil=32000:sp=arity:random_seed=1277386420:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (3146731)% WARNING: option uhcvi not known.
% 0.15/0.48 % (3146730)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=403498495_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (3146732)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2316787381:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (3146731)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=300877722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (3146734)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1258957224:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (3146736)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1216002516:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % (3146735)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2987074343:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % (3146733) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3146725-3146733"...
% 0.15/0.48 % TRYING [4]
% 0.15/0.48 % (3146733)...printing done.
% 0.15/0.48 % (3146733)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (3146733)------------------------------
% 0.15/0.49 % (3146733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.49 % (3146733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.49 % (3146733)CaDiCaL version: 2.1.3
% 0.15/0.49 % (3146733)Termination reason: Refutation
% 0.15/0.49 % (3146733)Time elapsed: 0.020 s
% 0.15/0.49 % (3146733)Peak memory usage: 13 MB
% 0.15/0.49 % (3146733)Instructions burned: 64 (million)
% 0.15/0.49 % (3146725)Success in time 0.055 s
% 0.15/0.49 % Vampire exiting
%------------------------------------------------------------------------------