%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP390-1 : 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 : n016.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 10:17:40 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 41
% Syntax : Number of formulae : 261 ( 21 unt; 18 def)
% Number of atoms : 748 ( 259 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 918 ( 431 ~; 469 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 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,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c8) = sk_c7
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f65,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f71]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c9
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| inverse(X3) != sk_c9
| multiply(X4,sk_c8) != sk_c7
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9
| multiply(X5,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(X1,inverse(X1))
| sk_c8 != multiply(inverse(X1),sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_3
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,definition,
( spl0_4
<=> ! [X1] :
( sk_c8 != multiply(X1,inverse(X1))
| sk_c8 != multiply(inverse(X1),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( ! [X1] :
( sk_c8 != multiply(X1,inverse(X1))
| sk_c8 != multiply(inverse(X1),sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,definition,
( spl0_5
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( inverse(sk_c8) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f79,f93,f81,f90,f87,f84,f81]) ).
fof(f98,definition,
( spl0_6
<=> sk_c9 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f100,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f107,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f109,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f112,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f114,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f72,f102,f112]) ).
fof(f117,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f119,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f70,f102,f117]) ).
fof(f122,definition,
( spl0_11
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f124,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f68,f102,f122]) ).
fof(f127,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f129,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f102,f127]) ).
fof(f132,definition,
( spl0_13
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f60,f132,f112]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f58,f132,f117]) ).
fof(f142,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f147,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f142,f112]) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f142,f117]) ).
fof(f152,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f153,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f154,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f152,f98]) ).
fof(f156,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f152,f107]) ).
fof(f159,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f152,f122]) ).
fof(f162,definition,
( spl0_16
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f162,f98]) ).
fof(f166,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f162,f107]) ).
fof(f169,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f162,f122]) ).
fof(f170,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f162,f127]) ).
fof(f173,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f93,f112]) ).
fof(f174,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f93,f117]) ).
fof(f175,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f93,f122]) ).
fof(f176,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f93,f127]) ).
fof(f177,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f3,f109]) ).
fof(f178,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f114]) ).
fof(f179,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f124]) ).
fof(f181,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f185,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f129]) ).
fof(f187,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f181,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f177]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f191,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f178]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f193,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f179]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f193,f1]) ).
fof(f200,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f190,f100]) ).
fof(f216,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f192,f119]) ).
fof(f225,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f187,f3]) ).
fof(f232,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f187,f187]) ).
fof(f235,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl0_11 ),
inference(superposition,[],[f187,f179]) ).
fof(f236,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f187,f129]) ).
fof(f237,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f187,f200]) ).
fof(f238,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f187,f178]) ).
fof(f242,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f236,f124]) ).
fof(f248,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f225,f232]) ).
fof(f249,plain,
( multiply(sk_c4,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f185,f242]) ).
fof(f250,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f187,f242]) ).
fof(f252,plain,
( identity = sk_c8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f250,f3]) ).
fof(f253,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f249,f129]) ).
fof(f262,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f238,f252]) ).
fof(f267,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f262,f3]) ).
fof(f268,plain,
( sk_c8 = sk_c5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f267,f252]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_11 ),
inference(superposition,[],[f187,f194]) ).
fof(f303,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f119,f268]) ).
fof(f304,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f114,f268]) ).
fof(f305,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f303,f253]) ).
fof(f367,plain,
( sk_c8 != sk_c7
| spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f95,f304]) ).
fof(f372,plain,
( $false
| spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f367,f305]) ).
fof(f373,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f377,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f88,f129]) ).
fof(f380,plain,
( identity != sk_c8
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_3 ),
inference(superposition,[],[f88,f3]) ).
fof(f383,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f388,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f383,f124]) ).
fof(f389,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f398,definition,
( spl0_17
<=> sk_c9 = inverse(inverse(sk_c9)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f400,plain,
( sk_c9 != inverse(inverse(sk_c9))
| spl0_17 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f402,definition,
( spl0_18
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f403,plain,
( identity = sk_c8
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f380,f87,f402,f398]) ).
fof(f417,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f238,f94]) ).
fof(f419,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f3,f94]) ).
fof(f420,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f417,f248]) ).
fof(f430,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f3,f134]) ).
fof(f433,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f178,f420]) ).
fof(f439,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f433,f216]) ).
fof(f440,plain,
( spl0_18
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f439,f117,f112,f93,f402]) ).
fof(f442,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f164]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f104]) ).
fof(f451,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f187,f419]) ).
fof(f454,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f451,f248]) ).
fof(f456,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f3,f454]) ).
fof(f457,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_13 ),
inference(superposition,[],[f187,f430]) ).
fof(f460,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f457,f248]) ).
fof(f462,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f3,f460]) ).
fof(f463,plain,
( identity = sk_c8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f462,f144]) ).
fof(f464,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f463,f142,f132,f402]) ).
fof(f465,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_18 ),
inference(superposition,[],[f1,f403]) ).
fof(f466,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f235,f403]) ).
fof(f469,plain,
( sk_c4 = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f466,f237]) ).
fof(f486,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_16 ),
inference(superposition,[],[f187,f442]) ).
fof(f491,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f444,f419]) ).
fof(f496,plain,
( sk_c3 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f491,f248]) ).
fof(f499,plain,
( sk_c8 = sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f496,f465]) ).
fof(f506,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f466,f296]) ).
fof(f507,plain,
( sk_c4 = sk_c1
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f486,f235]) ).
fof(f512,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f104,f499]) ).
fof(f513,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f512,f465]) ).
fof(f707,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f85,f513]) ).
fof(f717,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f707,f3]) ).
fof(f724,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f717,f403]) ).
fof(f730,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f724,f94]) ).
fof(f737,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f730,f454]) ).
fof(f738,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f744,plain,
( ! [X1] :
( sk_c8 != multiply(inverse(X1),sk_c8)
| sk_c8 != multiply(X1,inverse(X1)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f91,f513]) ).
fof(f755,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f744,f94]) ).
fof(f792,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f755,f419]) ).
fof(f810,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f792,f403]) ).
fof(f829,plain,
( identity != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f810,f456]) ).
fof(f838,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f829,f403]) ).
fof(f839,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f854,plain,
( sk_c4 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f82,f506]) ).
fof(f856,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f82,f154]) ).
fof(f863,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f856]) ).
fof(f867,plain,
( $false
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f863,f164]) ).
fof(f868,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f944,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f85,f119]) ).
fof(f952,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f944]) ).
fof(f960,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f952,f114]) ).
fof(f961,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f978,plain,
( ! [X1] :
( sk_c8 != multiply(inverse(X1),sk_c8)
| sk_c8 != multiply(X1,inverse(X1)) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f91,f305]) ).
fof(f983,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f978,f114]) ).
fof(f1009,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f983,f465]) ).
fof(f1025,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1009,f119]) ).
fof(f1038,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1025,f305]) ).
fof(f1039,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1049,plain,
( sk_c4 != sk_c9
| ~ spl0_1
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f854,f124]) ).
fof(f1053,plain,
( sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_11
| spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f153,f507]) ).
fof(f1057,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1049,f469]) ).
fof(f1058,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1068,plain,
( sk_c4 != sk_c9
| ~ spl0_11
| spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1053,f506]) ).
fof(f1071,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1068,f469]) ).
fof(f1072,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1080,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f486,f248]) ).
fof(f1167,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_16
| spl0_17 ),
inference(superposition,[],[f400,f1080]) ).
fof(f1173,plain,
( $false
| ~ spl0_16
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1167,f164]) ).
fof(f1174,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f96]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s11,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s12,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s17,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s21,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s22,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s25,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s27,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s28,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s31,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s32,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s35,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f173]) ).
cnf(s36,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f174]) ).
cnf(s37,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f175]) ).
cnf(s38,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f176]) ).
cnf(s39,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f373]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f389]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f405]) ).
cnf(s45,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f440]) ).
cnf(s46,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f464]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f738]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f839]) ).
cnf(s70,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f868]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f961]) ).
cnf(s81,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s85,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s87,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s89,plain,
( ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s90,plain,
spl0_5,
inference(rat,[],[s39,s35,s36,s37,s38]) ).
cnf(s91,plain,
( spl0_7
| ~ spl0_4 ),
inference(rat,[],[s81,s45,s5,s6,s7,s8,s90]) ).
cnf(s92,plain,
( spl0_10
| spl0_18 ),
inference(rat,[],[s46,s12,s18]) ).
cnf(s93,plain,
( ~ spl0_10
| spl0_18 ),
inference(rat,[],[s46,s11,s17,s45,s90]) ).
cnf(s94,plain,
spl0_18,
inference(rat,[],[s93,s92]) ).
cnf(s96,plain,
~ spl0_4,
inference(rat,[],[s67,s91,s90,s94]) ).
cnf(s97,plain,
~ spl0_3,
inference(rat,[],[s41,s31,s32,s89,s43,s94]) ).
cnf(s98,plain,
~ spl0_2,
inference(rat,[],[s73,s5,s6,s54,s90,s94]) ).
cnf(s99,plain,
spl0_1,
inference(rat,[],[s2,s96,s90,s97,s98]) ).
cnf(s101,plain,
~ spl0_16,
inference(rat,[],[s87,s21,s22,s25,s70,s94,s99]) ).
cnf(s103,plain,
spl0_11,
inference(rat,[],[s31,s101]) ).
cnf(s105,plain,
spl0_8,
inference(rat,[],[s28,s101]) ).
cnf(s106,plain,
spl0_6,
inference(rat,[],[s27,s101]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s85,s94,s106,s99,s103,s105]) ).
fof(f1176,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP390-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:05:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (2387914)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2387923)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1557842890:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (2387920)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2387919)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4214624123_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (2387921)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3191257535:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (2387922)dis+10_1_sil=32000:sp=arity:random_seed=2191206831:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (2387924)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3977844519:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (2387925)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=871004705:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (2387920)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2205525374:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (2387923) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2387914-2387923"...
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (2387923)...printing done.
% 0.11/0.45 % (2387923)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2387923)------------------------------
% 0.11/0.46 % (2387923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2387923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2387923)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2387923)Termination reason: Refutation
% 0.11/0.46 % (2387923)Time elapsed: 0.012 s
% 0.11/0.46 % (2387923)Peak memory usage: 12 MB
% 0.11/0.46 % (2387923)Instructions burned: 34 (million)
% 0.11/0.46 % (2387914)Success in time 0.04 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------