%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.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 2.64s 1.30s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 45
% Syntax : Number of formulae : 245 ( 19 unt; 17 def)
% Number of atoms : 656 ( 237 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 757 ( 346 ~; 394 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 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_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_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_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(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(f153,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f150,f102,f68,f97]) ).
fof(f160,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f161,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f164,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f130]) ).
fof(f166,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f80]) ).
fof(f167,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f84]) ).
fof(f174,definition,
( spl0_19
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f175,plain,
( identity = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f180,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f141]) ).
fof(f182,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f164]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f182,f1]) ).
fof(f190,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f180,f1]) ).
fof(f195,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f166]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f199,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f189,f141]) ).
fof(f209,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f181,f199]) ).
fof(f211,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f209,f141]) ).
fof(f233,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f196,f89]) ).
fof(f248,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f94,f233]) ).
fof(f252,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f248,f92,f87,f78,f160]) ).
fof(f255,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_2
| ~ spl0_17 ),
inference(superposition,[],[f69,f161]) ).
fof(f347,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f190,f211]) ).
fof(f359,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f190,f119]) ).
fof(f378,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f347,f3]) ).
fof(f390,plain,
( spl0_19
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f378,f139,f128,f174]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_19 ),
inference(superposition,[],[f1,f175]) ).
fof(f426,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f167,f393]) ).
fof(f434,plain,
( sk_c8 = sk_c2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f426,f175]) ).
fof(f446,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f119,f434]) ).
fof(f452,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f446,f211]) ).
fof(f456,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f359,f84]) ).
fof(f463,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f452,f174,f139,f128,f117,f82,f160]) ).
fof(f465,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f456,f393]) ).
fof(f467,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f465,f174,f117,f82,f160]) ).
fof(f610,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f255,f84]) ).
fof(f611,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f610]) ).
fof(f613,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f611,f119]) ).
fof(f616,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f613,f161]) ).
fof(f617,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f629,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f66,f393]) ).
fof(f630,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c8) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f629,f161]) ).
fof(f633,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f630,f84]) ).
fof(f634,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f633]) ).
fof(f636,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f634,f119]) ).
fof(f639,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f636,f161]) ).
fof(f640,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f644,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f75,f161]) ).
fof(f647,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f644,f84]) ).
fof(f648,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f647]) ).
fof(f650,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f648,f119]) ).
fof(f653,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f650,f161]) ).
fof(f654,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f658,plain,
( sk_c9 != sk_c9
| multiply(sk_c1,sk_c9) != sk_c8
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f72,f130]) ).
fof(f661,plain,
( multiply(sk_c1,sk_c9) != sk_c8
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f658]) ).
fof(f664,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f661,f141]) ).
fof(f665,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f684,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f99,f161]) ).
fof(f685,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f104,f161]) ).
fof(f693,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f72,f109]) ).
fof(f696,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f693]) ).
fof(f698,plain,
( ~ spl0_12
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f696,f107,f71,f112]) ).
fof(f735,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f644,f684]) ).
fof(f738,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f735]) ).
fof(f740,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f738,f685]) ).
fof(f741,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f742,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f66,f161]) ).
fof(f746,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f742,f80]) ).
fof(f747,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f746]) ).
fof(f749,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f747,f196]) ).
fof(f750,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f749]) ).
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,[],[f153]) ).
cnf(s35,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f252]) ).
cnf(s41,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f390]) ).
cnf(s45,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f463]) ).
cnf(s46,plain,
( ~ spl0_6
| ~ spl0_13
| spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f467]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f617]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f640]) ).
cnf(s57,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f654]) ).
cnf(s60,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f665]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f698]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f741]) ).
cnf(s68,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_17 ),
inference(sat_conversion,[],[f750]) ).
cnf(s69,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s57,s45,s41,s3,s10,s17,s24]) ).
cnf(s70,plain,
( spl0_15
| spl0_17
| ~ spl0_5 ),
inference(rat,[],[s35,s25,s26]) ).
cnf(s71,plain,
( ~ spl0_13
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s35,s18,s19,s41,s70,s46,s57,s69]) ).
cnf(s72,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s35,s67,s11,s12,s13,s14,s69]) ).
cnf(s73,plain,
~ spl0_4,
inference(rat,[],[s35,s67,s4,s5,s6,s7,s71,s72,s69]) ).
cnf(s74,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s63,s22,s23]) ).
cnf(s75,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s63,s29,s30,s60]) ).
cnf(s76,plain,
~ spl0_3,
inference(rat,[],[s75,s74]) ).
cnf(s77,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s32,s27,s28]) ).
cnf(s78,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s32,s13,s14]) ).
cnf(s79,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s32,s6,s7]) ).
cnf(s80,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s45,s41,s77,s51,s79,s78]) ).
cnf(s81,plain,
~ spl0_2,
inference(rat,[],[s32,s20,s21,s80]) ).
cnf(s82,plain,
spl0_1,
inference(rat,[],[s2,s73,s76,s81]) ).
cnf(s83,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s68,s35,s82]) ).
cnf(s84,plain,
spl0_13,
inference(rat,[],[s83,s10,s11,s12]) ).
cnf(s85,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s45,s54,s41,s84,s82]) ).
cnf(s86,plain,
spl0_6,
inference(rat,[],[s83,s3,s4,s5]) ).
cnf(s87,plain,
spl0_14,
inference(rat,[],[s83,s17,s18,s19]) ).
cnf(s88,plain,
~ spl0_15,
inference(rat,[],[s85,s86,s87]) ).
cnf(s93,plain,
spl0_8,
inference(rat,[],[s26,s88]) ).
cnf(s94,plain,
spl0_7,
inference(rat,[],[s25,s88]) ).
cnf(s95,plain,
spl0_5,
inference(rat,[],[s24,s88]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s83,s95,s93,s94]) ).
fof(f752,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:43:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.64/1.30 % (2741342)Input is clausal, will run a generic CNF schedule.
% 2.64/1.30 % (2741349)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=907738029:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.30 % (2741350)lrs+10_1_sil=8000:sp=occurrence:random_seed=666146595:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.30 % (2741348)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=230362352:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.30 % (2741347)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=3966880278:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.30 % (2741353)dis-21_1_sil=8000:lcm=predicate:random_seed=3879988729: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)
% 2.64/1.30 % (2741351)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=970494117:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.30 % (2741352)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2337714656:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.30 % (2741353)Refutation not found, incomplete strategy
% 2.64/1.30 % (2741353)------------------------------
% 2.64/1.30 % (2741353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.30 % (2741353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.30 % (2741353)CaDiCaL version: 2.1.3
% 2.64/1.30 % (2741353)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.30 % (2741353)Time elapsed: 0.002 s
% 2.64/1.30 % (2741353)Peak memory usage: 88 MB
% 2.64/1.30 % (2741353)Instructions burned: 2 (million)
% 2.64/1.30 % (2741352)First to succeed.
% 2.64/1.30 % (2741352)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2741342"
% 2.64/1.30 % (2741350)Instruction limit reached!
% 2.64/1.30 % (2741350)------------------------------
% 2.64/1.30 % (2741350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.30 % (2741350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.30 % (2741350)CaDiCaL version: 2.1.3
% 2.64/1.30 % (2741350)Termination reason: Instruction limit
% 2.64/1.30 % (2741350)Termination phase: Saturation
% 2.64/1.30 % (2741350)Time elapsed: 0.056 s
% 2.64/1.30 % (2741350)Peak memory usage: 89 MB
% 2.64/1.30 % (2741350)Instructions burned: 108 (million)
% 2.64/1.30 % (2741351)Instruction limit reached!
% 2.64/1.30 % (2741351)------------------------------
% 2.64/1.30 % (2741351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.30 % (2741351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.30 % (2741351)CaDiCaL version: 2.1.3
% 2.64/1.30 % (2741351)Termination reason: Instruction limit
% 2.64/1.30 % (2741351)Termination phase: Saturation
% 2.64/1.30 % (2741351)Time elapsed: 0.065 s
% 2.64/1.30 % (2741351)Peak memory usage: 89 MB
% 2.64/1.30 % (2741351)Instructions burned: 114 (million)
% 2.64/1.30 % (2741361)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=758884665:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.64/1.30 % (2741362)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=260095074:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.64/1.30 % (2741353)------------------------------
% 2.64/1.30 % (2741353)------------------------------
% 2.64/1.30 % (2741352)Refutation found. Thanks to Tanya!
% 2.64/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.49 % (2741352)------------------------------
% 3.70/1.49 % (2741352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.49 % (2741352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.49 % (2741352)CaDiCaL version: 2.1.3
% 3.70/1.49 % (2741352)Termination reason: Refutation
% 3.70/1.49 % (2741352)Time elapsed: 0.018 s
% 3.70/1.49 % (2741352)Peak memory usage: 90 MB
% 3.70/1.49 % (2741352)Instructions burned: 26 (million)
% 3.70/1.49 % (2741352)------------------------------
% 3.70/1.49 % (2741352)------------------------------
% 3.70/1.49 % (2741342)Success in time 0.447 s
% 3.70/1.49 % Vampire exiting
%------------------------------------------------------------------------------