%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP265-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:29 AM UTC 2026
% Result : Unsatisfiable 0.59s 0.84s
% Output : Refutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 46
% Syntax : Number of formulae : 259 ( 20 unt; 18 def)
% Number of atoms : 707 ( 246 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 832 ( 384 ~; 430 |; 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 : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( 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_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c7) = 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_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c7 = 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_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c7) = 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_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = 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_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c7) = 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_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = 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_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c7) = 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_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = 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_c7,X4) != sk_c8
| multiply(X5,sk_c7) != X4
| inverse(X5) != sk_c7 ),
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_c8 != multiply(sk_c7,X4)
| multiply(X5,sk_c7) != X4
| sk_c7 != 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_c8 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) ),
inference(equality_resolution,[],[f62]) ).
fof(f65,definition,
( spl0_1
<=> ! [X5] :
( sk_c8 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f66,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != 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_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ 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_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f80,plain,
( sk_c7 = 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_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ 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_c8 = multiply(sk_c7,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f94,plain,
( sk_c8 = multiply(sk_c7,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(f151,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f149]) ).
fof(f155,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f151,f102,f68,f97]) ).
fof(f162,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f163,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f130]) ).
fof(f169,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f84]) ).
fof(f170,plain,
( identity != sk_c8
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2 ),
inference(superposition,[],[f69,f3]) ).
fof(f172,definition,
( spl0_18
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f174,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl0_18 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl0_19
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f177,plain,
( identity = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f170,f68,f176,f172]) ).
fof(f182,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f141]) ).
fof(f190,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f182,f1]) ).
fof(f193,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f166]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f193,f1]) ).
fof(f206,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f194,f141]) ).
fof(f218,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f183,f206]) ).
fof(f220,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f218,f141]) ).
fof(f301,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f190,f220]) ).
fof(f310,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f190,f89]) ).
fof(f312,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f190,f119]) ).
fof(f319,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f312,f84]) ).
fof(f321,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f310,f80]) ).
fof(f325,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f301,f3]) ).
fof(f330,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f321,f94]) ).
fof(f337,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f330,f92,f87,f78,f162]) ).
fof(f339,plain,
( spl0_19
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f325,f139,f128,f176]) ).
fof(f346,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_19 ),
inference(superposition,[],[f1,f177]) ).
fof(f350,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f190,f319]) ).
fof(f353,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f350,f3]) ).
fof(f355,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f353,f177]) ).
fof(f356,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f355,f176,f117,f82,f162]) ).
fof(f358,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f89,f163]) ).
fof(f360,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f104,f163]) ).
fof(f361,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_17
| spl0_18 ),
inference(superposition,[],[f174,f163]) ).
fof(f372,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f169,f346]) ).
fof(f380,plain,
( sk_c8 = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f372,f177]) ).
fof(f390,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f84,f380]) ).
fof(f412,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f66,f163]) ).
fof(f414,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f412,f346]) ).
fof(f416,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c8) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f414,f163]) ).
fof(f420,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f416,f84]) ).
fof(f421,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f420]) ).
fof(f423,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f421,f119]) ).
fof(f440,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f423,f163]) ).
fof(f441,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f442,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f361,f390]) ).
fof(f443,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f442,f390]) ).
fof(f444,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f447,plain,
( sk_c9 != sk_c9
| multiply(sk_c1,sk_c9) != sk_c8
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f72,f130]) ).
fof(f449,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f72,f109]) ).
fof(f451,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f452,plain,
( multiply(sk_c1,sk_c9) != sk_c8
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f447]) ).
fof(f454,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f451,f114]) ).
fof(f455,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f458,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f452,f141]) ).
fof(f459,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f463,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f75,f163]) ).
fof(f466,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f463,f390]) ).
fof(f468,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f463,f84]) ).
fof(f469,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f470,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f466]) ).
fof(f471,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f469,f119]) ).
fof(f473,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f470,f220]) ).
fof(f474,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f476,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f471,f163]) ).
fof(f477,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f481,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f80,f163]) ).
fof(f483,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f94,f163]) ).
fof(f485,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f99,f163]) ).
fof(f534,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f412,f163]) ).
fof(f562,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f534,f481]) ).
fof(f563,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f562]) ).
fof(f566,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f563,f358]) ).
fof(f569,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f566,f483]) ).
fof(f570,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f591,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f463,f485]) ).
fof(f596,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f600,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f596,f360]) ).
fof(f601,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f600]) ).
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(s32,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f155]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f179]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f337]) ).
cnf(s41,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f339]) ).
cnf(s44,plain,
( ~ spl0_6
| ~ spl0_13
| spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f356]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f441]) ).
cnf(s52,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f444]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f455]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f459]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f474]) ).
cnf(s60,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f477]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f570]) ).
cnf(s80,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f601]) ).
cnf(s84,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s44,s58,s41,s3,s10,s17,s24]) ).
cnf(s85,plain,
( spl0_15
| spl0_17
| ~ spl0_5 ),
inference(rat,[],[s39,s25,s26]) ).
cnf(s86,plain,
( ~ spl0_13
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s39,s18,s19,s41,s85,s44,s60,s84]) ).
cnf(s87,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s39,s80,s11,s12,s13,s14,s84]) ).
cnf(s88,plain,
~ spl0_4,
inference(rat,[],[s39,s80,s4,s5,s6,s7,s86,s87,s84]) ).
cnf(s89,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s53,s22,s23]) ).
cnf(s90,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s53,s29,s30,s54]) ).
cnf(s91,plain,
~ spl0_3,
inference(rat,[],[s90,s89]) ).
cnf(s92,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s32,s27,s28]) ).
cnf(s93,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s32,s13,s14]) ).
cnf(s94,plain,
( ~ spl0_6
| spl0_18
| ~ spl0_19
| ~ spl0_13 ),
inference(rat,[],[s44,s52]) ).
cnf(s95,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s32,s6,s7]) ).
cnf(s96,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s94,s34,s93,s95]) ).
cnf(s97,plain,
~ spl0_2,
inference(rat,[],[s32,s20,s21,s41,s96,s92]) ).
cnf(s98,plain,
spl0_1,
inference(rat,[],[s2,s88,s91,s97]) ).
cnf(s99,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s69,s39,s98]) ).
cnf(s100,plain,
spl0_13,
inference(rat,[],[s99,s10,s11,s12]) ).
cnf(s101,plain,
( ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s51,s44,s100,s98]) ).
cnf(s102,plain,
spl0_14,
inference(rat,[],[s99,s17,s18,s19]) ).
cnf(s103,plain,
spl0_15,
inference(rat,[],[s99,s24,s25,s26]) ).
cnf(s104,plain,
spl0_19,
inference(rat,[],[s41,s102,s103]) ).
cnf(s105,plain,
~ spl0_6,
inference(rat,[],[s101,s104]) ).
cnf(s110,plain,
spl0_8,
inference(rat,[],[s5,s105]) ).
cnf(s111,plain,
spl0_7,
inference(rat,[],[s4,s105]) ).
cnf(s112,plain,
spl0_5,
inference(rat,[],[s3,s105]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s99,s112,s110,s111]) ).
fof(f608,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP265-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:43:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.84 % (2122409)Input is clausal, will run a generic CNF schedule.
% 0.59/0.84 % (2122419)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3703278552:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.59/0.84 % (2122418)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1818392190:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.59/0.84 % (2122416)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1484028478:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.59/0.84 % (2122420)dis-21_1_sil=8000:lcm=predicate:random_seed=1994478977:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.59/0.84 % (2122417)lrs+10_1_sil=8000:sp=occurrence:random_seed=3579782099:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.59/0.84 % (2122414)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=437234610:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.59/0.84 % (2122415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3469515757:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.59/0.84 % (2122420)Refutation not found, incomplete strategy
% 0.59/0.84 % (2122420)------------------------------
% 0.59/0.84 % (2122420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.59/0.84 % (2122420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.84 % (2122420)CaDiCaL version: 2.1.3
% 0.59/0.84 % (2122420)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.84 % (2122420)Time elapsed: 0.001 s
% 0.59/0.84 % (2122420)Peak memory usage: 88 MB
% 0.59/0.84 % (2122420)Instructions burned: 2 (million)
% 0.59/0.84 % (2122419)First to succeed.
% 0.59/0.84 % (2122419)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2122409"
% 0.59/0.84 % (2122417)Instruction limit reached!
% 0.59/0.84 % (2122417)------------------------------
% 0.59/0.84 % (2122417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.59/0.84 % (2122417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.84 % (2122417)CaDiCaL version: 2.1.3
% 0.59/0.84 % (2122417)Termination reason: Instruction limit
% 0.59/0.84 % (2122417)Termination phase: Saturation
% 0.59/0.84 % (2122417)Time elapsed: 0.028 s
% 0.59/0.84 % (2122417)Peak memory usage: 89 MB
% 0.59/0.84 % (2122417)Instructions burned: 109 (million)
% 0.59/0.84 % (2122418)Instruction limit reached!
% 0.59/0.84 % (2122418)------------------------------
% 0.59/0.84 % (2122418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.59/0.84 % (2122418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.84 % (2122418)CaDiCaL version: 2.1.3
% 0.59/0.84 % (2122418)Termination reason: Instruction limit
% 0.59/0.84 % (2122418)Termination phase: Saturation
% 0.59/0.84 % (2122418)Time elapsed: 0.035 s
% 0.59/0.84 % (2122418)Peak memory usage: 89 MB
% 0.59/0.84 % (2122418)Instructions burned: 116 (million)
% 0.59/0.84 % (2122420)------------------------------
% 0.59/0.84 % (2122420)------------------------------
% 0.59/0.84 % (2122428)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2286721674:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.59/0.84 % (2122419)Refutation found. Thanks to Tanya!
% 0.59/0.84 % SZS status Unsatisfiable for theBenchmark
% 0.59/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.95 % (2122419)------------------------------
% 2.38/0.95 % (2122419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/0.95 % (2122419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.95 % (2122419)CaDiCaL version: 2.1.3
% 2.38/0.95 % (2122419)Termination reason: Refutation
% 2.38/0.95 % (2122419)Time elapsed: 0.008 s
% 2.38/0.95 % (2122419)Peak memory usage: 89 MB
% 2.38/0.95 % (2122419)Instructions burned: 22 (million)
% 2.38/0.95 % (2122419)------------------------------
% 2.38/0.95 % (2122419)------------------------------
% 2.38/0.95 % (2122409)Success in time 0.306 s
% 2.38/0.95 % Vampire exiting
%------------------------------------------------------------------------------