%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP264-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 46
% Syntax : Number of formulae : 266 ( 21 unt; 18 def)
% Number of atoms : 720 ( 245 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 842 ( 388 ~; 436 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 3 ( 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 : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c9 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c7
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X5] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f62]) ).
fof(f65,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f66,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_3
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f75,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f63,f71,f74,f71,f68,f65]) ).
fof(f78,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f80,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f84,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f82,f78]) ).
fof(f87,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f82,f87]) ).
fof(f92,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f94,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f82,f92]) ).
fof(f97,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f99,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f54,f82,f97]) ).
fof(f102,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f52,f82,f102]) ).
fof(f107,definition,
( spl0_11
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f109,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f112,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f114,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f117,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f119,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f117,f78]) ).
fof(f121,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f117,f87]) ).
fof(f122,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f117,f92]) ).
fof(f123,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f117,f97]) ).
fof(f124,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f117,f102]) ).
fof(f128,definition,
( spl0_14
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f130,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f128,f78]) ).
fof(f132,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f128,f87]) ).
fof(f133,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f128,f92]) ).
fof(f134,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f26,f128,f97]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f128,f102]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f128,f107]) ).
fof(f137,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f128,f112]) ).
fof(f139,definition,
( spl0_15
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f141,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f139,f78]) ).
fof(f143,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f16,f139,f87]) ).
fof(f144,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f14,f139,f92]) ).
fof(f145,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f139,f97]) ).
fof(f146,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f10,f139,f102]) ).
fof(f147,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f8,f139,f107]) ).
fof(f148,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f6,f139,f112]) ).
fof(f149,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f69,f104]) ).
fof(f150,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f149]) ).
fof(f151,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f150,f99]) ).
fof(f152,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f159,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f160,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f163,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f130]) ).
fof(f165,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f80]) ).
fof(f166,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f84]) ).
fof(f167,plain,
( identity != sk_c8
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2 ),
inference(superposition,[],[f69,f3]) ).
fof(f169,definition,
( spl0_18
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f171,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl0_18 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f173,definition,
( spl0_19
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f174,plain,
( identity = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( identity != sk_c8
| spl0_19 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f167,f68,f173,f169]) ).
fof(f179,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f141]) ).
fof(f181,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f163]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f189,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f179,f1]) ).
fof(f194,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f165]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f198,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f188,f141]) ).
fof(f208,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f180,f198]) ).
fof(f210,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f208,f141]) ).
fof(f235,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f195,f89]) ).
fof(f251,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f94,f235]) ).
fof(f255,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f251,f92,f87,f78,f159]) ).
fof(f311,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f189,f198]) ).
fof(f325,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f189,f119]) ).
fof(f332,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f325,f84]) ).
fof(f338,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f311,f3]) ).
fof(f349,plain,
( $false
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f338,f175]) ).
fof(f350,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f352,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_19 ),
inference(superposition,[],[f1,f174]) ).
fof(f357,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f189,f332]) ).
fof(f360,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f357,f3]) ).
fof(f363,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f360,f174]) ).
fof(f364,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f363,f173,f117,f82,f159]) ).
fof(f366,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f104,f160]) ).
fof(f367,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_17
| spl0_18 ),
inference(superposition,[],[f171,f160]) ).
fof(f382,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f166,f352]) ).
fof(f390,plain,
( sk_c8 = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f382,f174]) ).
fof(f404,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f84,f390]) ).
fof(f426,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f367,f404]) ).
fof(f434,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f426,f404]) ).
fof(f435,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f443,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f72,f141]) ).
fof(f445,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f72,f114]) ).
fof(f447,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f445]) ).
fof(f448,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f443]) ).
fof(f458,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f447,f109]) ).
fof(f459,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f462,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f448,f130]) ).
fof(f463,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f469,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f66,f352]) ).
fof(f470,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f469,f160]) ).
fof(f482,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f470,f3]) ).
fof(f486,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f470,f366]) ).
fof(f509,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f482,f174]) ).
fof(f515,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f509,f404]) ).
fof(f522,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f515,f404]) ).
fof(f523,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f524,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f75,f160]) ).
fof(f537,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f524,f210]) ).
fof(f539,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f524,f366]) ).
fof(f544,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f524,f119]) ).
fof(f548,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f537]) ).
fof(f550,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f544,f160]) ).
fof(f555,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f548,f404]) ).
fof(f556,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f560,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f550,f84]) ).
fof(f561,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f576,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f587,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f99,f160]) ).
fof(f598,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f587,f576]) ).
fof(f599,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f606,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f539]) ).
fof(f616,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f587,f606]) ).
fof(f617,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f623,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f66,f160]) ).
fof(f641,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f623,f89]) ).
fof(f646,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f641,f235]) ).
fof(f659,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f646,f80]) ).
fof(f660,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f659]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f76]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f85]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f95]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f100]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f105]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s12,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s17,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s18,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s19,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s20,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s21,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s22,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f142]) ).
cnf(s25,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s26,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s27,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s28,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s29,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s31,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f176]) ).
cnf(s34,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f255]) ).
cnf(s40,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f350]) ).
cnf(s41,plain,
( ~ spl0_6
| ~ spl0_13
| spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f364]) ).
cnf(s43,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f435]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f459]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f463]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f523]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f556]) ).
cnf(s60,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f561]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f599]) ).
cnf(s72,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f617]) ).
cnf(s78,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(sat_conversion,[],[f660]) ).
cnf(s81,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s41,s58,s40,s3,s10,s17,s24]) ).
cnf(s82,plain,
( spl0_15
| spl0_17
| ~ spl0_5 ),
inference(rat,[],[s34,s25,s26]) ).
cnf(s83,plain,
( ~ spl0_13
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s34,s18,s19,s40,s82,s41,s60,s81]) ).
cnf(s84,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s34,s72,s11,s12,s13,s14,s81]) ).
cnf(s85,plain,
~ spl0_4,
inference(rat,[],[s34,s72,s4,s5,s6,s7,s83,s84,s81]) ).
cnf(s86,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s45,s22,s23]) ).
cnf(s87,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s45,s29,s30,s46]) ).
cnf(s88,plain,
~ spl0_3,
inference(rat,[],[s87,s86]) ).
cnf(s89,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s31,s27,s28]) ).
cnf(s90,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s31,s13,s14]) ).
cnf(s91,plain,
( ~ spl0_6
| spl0_18
| ~ spl0_19
| ~ spl0_13 ),
inference(rat,[],[s41,s43]) ).
cnf(s92,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s31,s6,s7]) ).
cnf(s93,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s91,s33,s90,s92]) ).
cnf(s94,plain,
~ spl0_2,
inference(rat,[],[s31,s20,s21,s40,s93,s89]) ).
cnf(s95,plain,
spl0_1,
inference(rat,[],[s2,s85,s88,s94]) ).
cnf(s96,plain,
spl0_13,
inference(rat,[],[s34,s78,s10,s11,s12,s95]) ).
cnf(s97,plain,
( ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s56,s41,s96,s95]) ).
cnf(s98,plain,
( spl0_14
| spl0_17 ),
inference(rat,[],[s34,s17,s18,s19]) ).
cnf(s99,plain,
( spl0_17
| spl0_19 ),
inference(rat,[],[s82,s24,s40,s98]) ).
cnf(s100,plain,
( spl0_14
| ~ spl0_17 ),
inference(rat,[],[s78,s17,s18,s95]) ).
cnf(s101,plain,
spl0_19,
inference(rat,[],[s78,s24,s25,s40,s100,s99,s95]) ).
cnf(s102,plain,
~ spl0_6,
inference(rat,[],[s97,s101]) ).
cnf(s105,plain,
spl0_10,
inference(rat,[],[s7,s102]) ).
cnf(s106,plain,
spl0_9,
inference(rat,[],[s6,s102]) ).
cnf(s107,plain,
spl0_8,
inference(rat,[],[s5,s102]) ).
cnf(s108,plain,
spl0_7,
inference(rat,[],[s4,s102]) ).
cnf(s109,plain,
spl0_5,
inference(rat,[],[s3,s102]) ).
cnf(s110,plain,
~ spl0_17,
inference(rat,[],[s69,s101,s95,s105,s106]) ).
cnf(s111,plain,
$false,
inference(rat,[],[s34,s110,s109,s107,s108]) ).
fof(f664,plain,
$false,
inference(avatar_sat_refutation,[],[s111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP264-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n010.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:44:32 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 Running first-order model finding
% 0.13/0.45 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % (706802)Will run a generic schedule for satisfiability detection.
% 0.19/0.52 % (706814)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2750744124:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.52 % (706809)% WARNING: option uhcvi not known.
% 0.19/0.52 % (706811)dis+10_1_sil=32000:sp=arity:random_seed=3500932265:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.52 % (706808)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2632270612_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.52 % (706813)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3703867254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.52 % (706809)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2538882202:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.52 % (706810)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2237799044:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.52 % (706812)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2623100535:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.52 % TRYING [1]
% 0.19/0.52 % TRYING [2]
% 0.19/0.52 % TRYING [3]
% 0.19/0.52 % TRYING [4]
% 0.19/0.52 % (706812) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-706802-706812"...
% 0.19/0.52 % (706812)...printing done.
% 0.19/0.52 % (706812)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (706812)------------------------------
% 0.19/0.52 % (706812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.52 % (706812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.52 % (706812)CaDiCaL version: 2.1.3
% 0.19/0.52 % (706812)Termination reason: Refutation
% 0.19/0.52 % (706812)Time elapsed: 0.024 s
% 0.19/0.52 % (706812)Peak memory usage: 12 MB
% 0.19/0.52 % (706812)Instructions burned: 22 (million)
% 0.19/0.52 % (706802)Success in time 0.064 s
% 0.19/0.52 % Vampire exiting
%------------------------------------------------------------------------------