%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP263-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:17:19 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 49
% Syntax : Number of formulae : 375 ( 24 unt; 19 def)
% Number of atoms : 1556 ( 461 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2332 (1151 ~;1162 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(sk_c9,sk_c10) != sk_c11
| 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/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(sk_c9,sk_c10)
| 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,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(sk_c9,sk_c10)
| 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,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(sk_c9,sk_c10)
| 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,[],[f105]) ).
fof(f108,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(f109,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f112,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f115,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl0_4
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f118,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f106,f114,f111,f117,f114,f111,f108]) ).
fof(f142,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f94,f117,f142]) ).
fof(f147,definition,
( spl0_10
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f149,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f92,f117,f147]) ).
fof(f152,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f154,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f90,f117,f152]) ).
fof(f157,definition,
( spl0_12
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f159,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f88,f117,f157]) ).
fof(f162,definition,
( spl0_13
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f164,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f86,f117,f162]) ).
fof(f167,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f168,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| spl0_14 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f84,f117,f167]) ).
fof(f172,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f174,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f179,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f74,f172,f142]) ).
fof(f180,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f72,f172,f147]) ).
fof(f181,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f70,f172,f152]) ).
fof(f182,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f68,f172,f157]) ).
fof(f183,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f66,f172,f162]) ).
fof(f186,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f188,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f193,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f186,f142]) ).
fof(f194,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f186,f147]) ).
fof(f195,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f50,f186,f152]) ).
fof(f196,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f48,f186,f157]) ).
fof(f197,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f46,f186,f162]) ).
fof(f200,definition,
( spl0_17
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f202,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f207,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f34,f200,f142]) ).
fof(f208,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f200,f147]) ).
fof(f210,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f200,f157]) ).
fof(f211,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f200,f162]) ).
fof(f212,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f200,f167]) ).
fof(f214,definition,
( spl0_18
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f216,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f221,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f15,f214,f142]) ).
fof(f222,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f13,f214,f147]) ).
fof(f224,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f9,f214,f157]) ).
fof(f225,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f214,f162]) ).
fof(f226,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f6,f214,f167]) ).
fof(f227,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f3,f164]) ).
fof(f234,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f169]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_12 ),
inference(superposition,[],[f4,f159]) ).
fof(f240,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f234,f1]) ).
fof(f243,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f227]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f243,f1]) ).
fof(f257,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f244,f169]) ).
fof(f266,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f235,f257]) ).
fof(f268,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f266,f169]) ).
fof(f283,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f236,f268]) ).
fof(f285,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f283,f159]) ).
fof(f307,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f240,f257]) ).
fof(f312,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f240,f159]) ).
fof(f315,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_10 ),
inference(superposition,[],[f240,f149]) ).
fof(f332,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f315,f144]) ).
fof(f335,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f312,f154]) ).
fof(f339,plain,
( identity = sk_c10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f307,f3]) ).
fof(f373,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f240,f332]) ).
fof(f375,plain,
( identity = sk_c11
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f373,f3]) ).
fof(f379,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f227,f375]) ).
fof(f388,plain,
( identity = sk_c3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f379,f1]) ).
fof(f392,plain,
( identity = multiply(identity,sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f335,f339]) ).
fof(f393,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f395,plain,
( sk_c11 != multiply(identity,sk_c10)
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f119,f393]) ).
fof(f396,plain,
( sk_c11 != sk_c10
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f395,f1]) ).
fof(f398,plain,
( identity != sk_c11
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f396,f339]) ).
fof(f399,plain,
( $false
| spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f398,f375]) ).
fof(f400,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f401,plain,
( ! [X2] :
( sk_c10 != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f115,f375]) ).
fof(f402,plain,
( sk_c11 = multiply(sk_c9,identity)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f339]) ).
fof(f403,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f401,f339]) ).
fof(f405,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f403,f375]) ).
fof(f407,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f405,f1]) ).
fof(f412,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f426,plain,
( sk_c11 = inverse(identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f164,f388]) ).
fof(f427,plain,
( identity = inverse(identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f426,f375]) ).
fof(f475,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f427,f412]) ).
fof(f476,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,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_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f109,f375]) ).
fof(f478,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_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f477,f339]) ).
fof(f479,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_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f478,f375]) ).
fof(f481,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| identity != multiply(sk_c4,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f479,f154]) ).
fof(f502,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c4,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f481,f339]) ).
fof(f513,plain,
( ! [X0] :
( identity != sk_c9
| inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f502,f159]) ).
fof(f516,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f513,f393]) ).
fof(f519,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f516,f339]) ).
fof(f521,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f519,f1]) ).
fof(f523,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f521,f339]) ).
fof(f533,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f523,f3]) ).
fof(f544,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f533,f427]) ).
fof(f546,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f544,f427]) ).
fof(f548,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f546,f427]) ).
fof(f551,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f548,f427]) ).
fof(f552,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f551,f427]) ).
fof(f553,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f554,plain,
( ! [X3] :
( sk_c9 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f112,f339]) ).
fof(f555,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f554,f393]) ).
fof(f556,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f555,f339]) ).
fof(f559,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f556,f3]) ).
fof(f561,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f559]) ).
fof(f563,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f561,f427]) ).
fof(f566,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f563,f427]) ).
fof(f567,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f570,plain,
( sk_c10 != multiply(sk_c3,identity)
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(forward_demodulation,[],[f168,f375]) ).
fof(f571,plain,
( identity = inverse(sk_c1)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f202,f375]) ).
fof(f572,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f216,f375]) ).
fof(f576,plain,
( sk_c10 != multiply(identity,identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f570,f388]) ).
fof(f578,plain,
( identity != sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f576,f1]) ).
fof(f580,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_15 ),
inference(superposition,[],[f3,f174]) ).
fof(f582,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f3,f571]) ).
fof(f583,plain,
( identity = sk_c1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f582,f1]) ).
fof(f585,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f240,f188]) ).
fof(f587,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f585,f174]) ).
fof(f589,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f572,f583]) ).
fof(f590,plain,
( identity = sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f589,f1]) ).
fof(f591,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f590,f578]) ).
fof(f592,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f597,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_18 ),
inference(superposition,[],[f240,f216]) ).
fof(f599,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f597,f202]) ).
fof(f603,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f115,f216]) ).
fof(f604,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f605,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f604,f202]) ).
fof(f606,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f612,definition,
( spl0_29
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f613,plain,
( identity = sk_c10
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f614,plain,
( identity != sk_c10
| spl0_29 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f621,definition,
( spl0_31
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f622,plain,
( sk_c11 = sk_c10
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,plain,
( sk_c11 = sk_c9
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f285,f118]) ).
fof(f626,plain,
( spl0_29
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f339,f167,f162,f612]) ).
fof(f638,plain,
( identity = multiply(sk_c3,sk_c11)
| ~ spl0_14
| ~ spl0_29 ),
inference(forward_demodulation,[],[f169,f613]) ).
fof(f639,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f402,f625]) ).
fof(f647,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f580,f613]) ).
fof(f648,plain,
( identity = sk_c2
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f647,f1]) ).
fof(f652,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f188,f648]) ).
fof(f653,plain,
( sk_c10 = inverse(identity)
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f174,f648]) ).
fof(f654,plain,
( identity = inverse(identity)
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f653,f613]) ).
fof(f655,plain,
( sk_c10 = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f652,f1]) ).
fof(f656,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f655,f625]) ).
fof(f657,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f656,f613]) ).
fof(f698,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_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f109,f657]) ).
fof(f699,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_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f698,f613]) ).
fof(f700,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_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f699,f657]) ).
fof(f703,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| identity != multiply(sk_c3,sk_c11)
| identity != multiply(sk_c11,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f700,f164]) ).
fof(f714,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| identity != multiply(sk_c11,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f703,f638]) ).
fof(f719,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c11,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f714,f657]) ).
fof(f724,plain,
( ! [X0] :
( identity != sk_c11
| inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f719,f639]) ).
fof(f727,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f724,f657]) ).
fof(f730,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f727,f657]) ).
fof(f763,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f730,f3]) ).
fof(f768,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f763,f654]) ).
fof(f771,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f768,f654]) ).
fof(f774,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f771,f654]) ).
fof(f778,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f774,f654]) ).
fof(f781,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f778,f654]) ).
fof(f782,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f784,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f655,f613]) ).
fof(f785,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_29 ),
inference(forward_demodulation,[],[f109,f613]) ).
fof(f794,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f402,f784]) ).
fof(f795,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f794,f1]) ).
fof(f813,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_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f785,f795]) ).
fof(f814,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_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f813,f795]) ).
fof(f817,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| identity != multiply(sk_c11,identity)
| identity != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f814,f164]) ).
fof(f828,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| identity != multiply(sk_c11,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f817,f638]) ).
fof(f833,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c11,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f828,f795]) ).
fof(f838,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f833,f795]) ).
fof(f841,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f838,f1]) ).
fof(f844,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f841,f795]) ).
fof(f871,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f844,f3]) ).
fof(f874,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f871,f654]) ).
fof(f876,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f874,f654]) ).
fof(f878,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f876,f654]) ).
fof(f881,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f878,f654]) ).
fof(f882,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f881,f654]) ).
fof(f883,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f929,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f112,f188]) ).
fof(f930,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f929]) ).
fof(f931,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f930,f174]) ).
fof(f932,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f938,definition,
( spl0_33
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f939,plain,
( sk_c11 = sk_c9
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f940,plain,
( sk_c11 != sk_c9
| spl0_33 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f952,definition,
( spl0_36
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f953,plain,
( identity = sk_c9
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1003,definition,
( spl0_44
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f1004,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1005,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| spl0_44 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1021,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f240,f587]) ).
fof(f1023,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1021,f3]) ).
fof(f1026,plain,
( spl0_36
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1023,f186,f172,f952]) ).
fof(f1028,plain,
( identity != sk_c11
| spl0_33
| ~ spl0_36 ),
inference(superposition,[],[f940,f953]) ).
fof(f1029,plain,
( sk_c11 = multiply(identity,sk_c10)
| ~ spl0_4
| ~ spl0_36 ),
inference(superposition,[],[f118,f953]) ).
fof(f1030,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1029,f1]) ).
fof(f1033,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1030,f952,f117,f621]) ).
fof(f1041,plain,
( identity != sk_c11
| spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f614,f622]) ).
fof(f1047,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_31
| spl0_44 ),
inference(forward_demodulation,[],[f1005,f622]) ).
fof(f1050,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_17
| ~ spl0_18
| ~ spl0_31 ),
inference(forward_demodulation,[],[f599,f622]) ).
fof(f1051,plain,
( $false
| ~ spl0_17
| ~ spl0_18
| ~ spl0_31
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f1050,f1047]) ).
fof(f1052,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_31
| spl0_44 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1053,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_31
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1004,f622]) ).
fof(f1054,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_31
| ~ spl0_44 ),
inference(superposition,[],[f240,f1053]) ).
fof(f1056,plain,
( identity = sk_c11
| ~ spl0_31
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1054,f3]) ).
fof(f1057,plain,
( $false
| ~ spl0_31
| spl0_33
| ~ spl0_36
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1056,f1028]) ).
fof(f1058,plain,
( ~ spl0_31
| spl0_33
| ~ spl0_36
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1059,plain,
( identity = sk_c11
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f939,f953]) ).
fof(f1081,plain,
( $false
| spl0_29
| ~ spl0_31
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1041,f1059]) ).
fof(f1082,plain,
( spl0_29
| ~ spl0_31
| ~ spl0_33
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1089,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_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f785,f1059]) ).
fof(f1091,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_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1089,f1059]) ).
fof(f1129,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| identity != multiply(sk_c11,identity)
| identity != multiply(sk_c1,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(superposition,[],[f1091,f202]) ).
fof(f1138,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c11,identity)
| identity != multiply(sk_c1,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1129,f1059]) ).
fof(f1140,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c1,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1138,f1059]) ).
fof(f1142,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c1,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1140,f1]) ).
fof(f1144,plain,
( ! [X0] :
( identity != sk_c10
| inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1142,f216]) ).
fof(f1146,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1144,f613]) ).
fof(f1148,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1146,f1059]) ).
fof(f1184,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(superposition,[],[f1148,f3]) ).
fof(f1189,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1184,f654]) ).
fof(f1191,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1189,f654]) ).
fof(f1193,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1191,f654]) ).
fof(f1196,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1193,f654]) ).
fof(f1197,plain,
( $false
| ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1196,f654]) ).
fof(f1198,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
cnf(s1,plain,
( spl0_2
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f120]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f145]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f155]) ).
cnf(s10,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f160]) ).
cnf(s11,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f165]) ).
cnf(s12,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f170]) ).
cnf(s17,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f179]) ).
cnf(s18,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f180]) ).
cnf(s19,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f181]) ).
cnf(s20,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f182]) ).
cnf(s21,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f183]) ).
cnf(s27,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s28,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s29,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s30,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s31,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s37,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s38,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s40,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s41,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f211]) ).
cnf(s42,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f212]) ).
cnf(s47,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f221]) ).
cnf(s48,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f222]) ).
cnf(s50,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f224]) ).
cnf(s51,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f225]) ).
cnf(s52,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f226]) ).
cnf(s53,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f400]) ).
cnf(s55,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f476]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f553]) ).
cnf(s63,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f567]) ).
cnf(s64,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f592]) ).
cnf(s65,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f606]) ).
cnf(s68,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_29 ),
inference(sat_conversion,[],[f626]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f782]) ).
cnf(s78,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f883]) ).
cnf(s83,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f932]) ).
cnf(s92,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_36 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s94,plain,
( ~ spl0_4
| spl0_31
| ~ spl0_36 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s95,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_31
| spl0_44 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s96,plain,
( ~ spl0_31
| spl0_33
| ~ spl0_36
| ~ spl0_44 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s99,plain,
( spl0_29
| ~ spl0_31
| ~ spl0_33
| ~ spl0_36 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s102,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_36 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s103,plain,
spl0_4,
inference(rat,[],[s53,s7,s8,s9,s10,s11,s12]) ).
cnf(s104,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_3
| ~ spl0_9 ),
inference(rat,[],[s64,s42,s52,s55]) ).
cnf(s105,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s41,s51]) ).
cnf(s106,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s65,s38,s48]) ).
cnf(s107,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s37,s47,s104]) ).
cnf(s108,plain,
~ spl0_3,
inference(rat,[],[s107,s106,s105]) ).
cnf(s109,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s83,s20,s30]) ).
cnf(s110,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s83,s19,s29]) ).
cnf(s111,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(rat,[],[s64,s42,s52,s63]) ).
cnf(s112,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s83,s21,s31]) ).
cnf(s113,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s83,s18,s28]) ).
cnf(s114,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_2
| ~ spl0_13
| ~ spl0_11 ),
inference(rat,[],[s83,s17,s27,s111]) ).
cnf(s115,plain,
~ spl0_2,
inference(rat,[],[s114,s113,s112,s110,s109]) ).
cnf(s116,plain,
spl0_1,
inference(rat,[],[s2,s103,s108,s115]) ).
cnf(s117,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s78,s68,s64,s20,s30,s40,s50,s116,s103]) ).
cnf(s118,plain,
( spl0_14
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s64,s42,s52]) ).
cnf(s119,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s75,s19,s29,s61,s68,s118,s117,s103,s116]) ).
cnf(s120,plain,
spl0_13,
inference(rat,[],[s99,s102,s96,s95,s94,s92,s21,s31,s41,s51,s116,s103]) ).
cnf(s121,plain,
spl0_10,
inference(rat,[],[s99,s102,s96,s95,s94,s92,s18,s28,s38,s48,s116,s103]) ).
cnf(s122,plain,
~ spl0_9,
inference(rat,[],[s119,s120,s121]) ).
cnf(s123,plain,
spl0_18,
inference(rat,[],[s47,s122]) ).
cnf(s124,plain,
spl0_17,
inference(rat,[],[s37,s122]) ).
cnf(s125,plain,
spl0_16,
inference(rat,[],[s27,s122]) ).
cnf(s126,plain,
spl0_15,
inference(rat,[],[s17,s122]) ).
cnf(s127,plain,
spl0_36,
inference(rat,[],[s92,s125,s126]) ).
cnf(s128,plain,
spl0_31,
inference(rat,[],[s94,s103,s127]) ).
cnf(s129,plain,
spl0_44,
inference(rat,[],[s95,s124,s123,s128]) ).
cnf(s132,plain,
spl0_33,
inference(rat,[],[s96,s128,s127,s129]) ).
cnf(s134,plain,
~ spl0_29,
inference(rat,[],[s102,s127,s126,s124,s123,s116,s132]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s99,s127,s128,s132,s134]) ).
fof(f1199,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP263-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:43:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % (1782434)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1782446)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3049125035:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1782441)% WARNING: option uhcvi not known.
% 0.18/0.48 % (1782441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1653021260:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1782443)dis+10_1_sil=32000:sp=arity:random_seed=143971857:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1782440)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3518529007_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (1782442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=839451878:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1782445)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2060897773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1782447)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=357771409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (1782443) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1782434-1782443"...
% 0.18/0.48 % TRYING [5]
% 0.18/0.48 % (1782443)...printing done.
% 0.18/0.48 % (1782443)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (1782443)------------------------------
% 0.18/0.49 % (1782443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (1782443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (1782443)CaDiCaL version: 2.1.3
% 0.18/0.49 % (1782443)Termination reason: Refutation
% 0.18/0.49 % (1782443)Time elapsed: 0.025 s
% 0.18/0.49 % (1782443)Peak memory usage: 12 MB
% 0.18/0.49 % (1782443)Instructions burned: 42 (million)
% 0.18/0.49 % (1782434)Success in time 0.05 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------