%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP211-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:13:20 AM UTC 2026
% Result : Unsatisfiable 1.76s 1.78s
% Output : Refutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 45
% Syntax : Number of formulae : 245 ( 21 unt; 19 def)
% Number of atoms : 666 ( 237 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 777 ( 356 ~; 402 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f56]) ).
fof(f58,plain,
! [X2,X3,X0,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f57]) ).
fof(f60,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(f61,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f64,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl0_3
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f67,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( spl0_1
| spl0_2
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f58,f66,f63,f63,f60]) ).
fof(f70,definition,
( spl0_4
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_5
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f76,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f79,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f84,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f86,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f89,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f91,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f74,f89]) ).
fof(f94,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f74,f94]) ).
fof(f99,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f44,f99,f70]) ).
fof(f103,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f42,f99,f79]) ).
fof(f104,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f40,f99,f84]) ).
fof(f105,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f38,f99,f89]) ).
fof(f106,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f36,f99,f94]) ).
fof(f108,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f110,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f34,f108,f70]) ).
fof(f112,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f32,f108,f79]) ).
fof(f113,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f108,f84]) ).
fof(f114,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f28,f108,f89]) ).
fof(f115,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f26,f108,f94]) ).
fof(f117,definition,
( spl0_12
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f119,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f24,f117,f70]) ).
fof(f121,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f22,f117,f79]) ).
fof(f122,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f20,f117,f84]) ).
fof(f123,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f18,f117,f89]) ).
fof(f124,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f16,f117,f94]) ).
fof(f126,definition,
( spl0_13
<=> multiply(sk_c1,sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f128,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f14,f126,f70]) ).
fof(f130,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f12,f126,f79]) ).
fof(f131,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f10,f126,f84]) ).
fof(f132,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f8,f126,f89]) ).
fof(f133,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f6,f126,f94]) ).
fof(f134,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f64,f91]) ).
fof(f135,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f134]) ).
fof(f136,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f135,f96]) ).
fof(f137,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f138,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f64,f76]) ).
fof(f139,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f138]) ).
fof(f140,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f139,f101]) ).
fof(f141,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f61,f81]) ).
fof(f146,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f142,f72]) ).
fof(f147,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f146,f79,f70,f60,f84]) ).
fof(f148,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f1]) ).
fof(f150,definition,
( spl0_14
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f152,plain,
( sk_c8 != inverse(identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f157,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f148,f60,f154,f150]) ).
fof(f158,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f119]) ).
fof(f161,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f174,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f175,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f128]) ).
fof(f179,plain,
( ! [X0,X1] :
( sk_c7 != multiply(sk_c8,multiply(X0,multiply(X1,sk_c8)))
| sk_c8 != inverse(multiply(X0,X1)) )
| ~ spl0_1 ),
inference(superposition,[],[f61,f4]) ).
fof(f180,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f174,f1]) ).
fof(f183,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f158]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f183,f1]) ).
fof(f196,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f184,f128]) ).
fof(f205,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f175,f196]) ).
fof(f217,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f205,f128]) ).
fof(f233,definition,
( spl0_20
<=> sk_c8 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f237,definition,
( spl0_21
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f238,plain,
( sk_c8 = sk_c7
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( sk_c8 != sk_c7
| spl0_21 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f250,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| sk_c8 != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f179,f175]) ).
fof(f259,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f250,f217]) ).
fof(f269,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f259,f217]) ).
fof(f272,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f269,f128]) ).
fof(f275,plain,
( ~ spl0_21
| ~ spl0_20
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f272,f126,f117,f60,f233,f237]) ).
fof(f292,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f180,f196]) ).
fof(f299,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f180,f81]) ).
fof(f301,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f180,f76]) ).
fof(f308,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f301,f101]) ).
fof(f310,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f299,f72]) ).
fof(f313,plain,
( identity = sk_c8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f292,f3]) ).
fof(f317,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f308,f217]) ).
fof(f318,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f317,f126,f117,f99,f74,f237]) ).
fof(f320,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(superposition,[],[f152,f313]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1,f313]) ).
fof(f349,plain,
( identity = sk_c3
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f161,f321]) ).
fof(f357,plain,
( sk_c8 = sk_c3
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f349,f313]) ).
fof(f373,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f101,f357]) ).
fof(f379,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f67,f238]) ).
fof(f380,plain,
( ~ spl0_20
| ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f320,f150,f126,f117,f233]) ).
fof(f381,plain,
( spl0_20
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f373,f126,f117,f99,f233]) ).
fof(f402,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f86,f321]) ).
fof(f418,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f81,f402]) ).
fof(f419,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f180,f91]) ).
fof(f422,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f419,f96]) ).
fof(f423,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f422,f217]) ).
fof(f424,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f423,f126,f117,f94,f89,f237]) ).
fof(f430,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f67,f119]) ).
fof(f432,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f67,f72]) ).
fof(f435,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f432,f321]) ).
fof(f437,plain,
( multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f430,f110]) ).
fof(f438,plain,
( sk_c8 != sk_c7
| sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f435,f418]) ).
fof(f439,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f441,definition,
( spl0_23
<=> sk_c8 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f442,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f447,plain,
( ~ spl0_21
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f439,f126,f117,f84,f79,f70,f66,f237]) ).
fof(f454,definition,
( spl0_25
<=> sk_c8 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f472,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f422,f94,f89,f154]) ).
fof(f484,plain,
( ~ spl0_13
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f437,f117,f108,f66,f126]) ).
fof(f494,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f91,f238]) ).
fof(f499,plain,
( spl0_23
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f494,f237,f89,f441]) ).
fof(f503,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(superposition,[],[f379,f96]) ).
fof(f507,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f503,f237,f94,f66,f454,f441]) ).
fof(f508,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_23 ),
inference(superposition,[],[f180,f442]) ).
fof(f510,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f508,f96]) ).
fof(f511,plain,
( spl0_25
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f510,f441,f94,f454]) ).
fof(f540,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f310,f86]) ).
fof(f547,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f540,f239]) ).
fof(f548,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f547]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f68]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(rat,[],[s1]) ).
cnf(s6,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f92]) ).
cnf(s7,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f97]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f102]) ).
cnf(s9,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f103]) ).
cnf(s10,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f104]) ).
cnf(s11,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f105]) ).
cnf(s12,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f106]) ).
cnf(s13,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f111]) ).
cnf(s14,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s15,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f113]) ).
cnf(s16,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f114]) ).
cnf(s17,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f115]) ).
cnf(s18,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s19,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s20,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s21,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s22,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s23,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s24,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s25,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s26,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s27,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f137]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f141]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f147]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f275]) ).
cnf(s40,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f318]) ).
cnf(s45,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f380]) ).
cnf(s46,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f381]) ).
cnf(s60,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f424]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f447]) ).
cnf(s69,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f472]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f484]) ).
cnf(s75,plain,
( ~ spl0_8
| ~ spl0_21
| spl0_23 ),
inference(sat_conversion,[],[f499]) ).
cnf(s77,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f507]) ).
cnf(s78,plain,
( ~ spl0_9
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f511]) ).
cnf(s84,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_21 ),
inference(sat_conversion,[],[f548]) ).
cnf(s85,plain,
( spl0_4
| ~ spl0_3 ),
inference(rat,[],[s73,s13,s18,s23]) ).
cnf(s86,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s77,s78,s75,s84,s24,s25,s26,s27,s85]) ).
cnf(s87,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s77,s78,s75,s84,s19,s20,s21,s22,s85]) ).
cnf(s88,plain,
~ spl0_3,
inference(rat,[],[s64,s60,s14,s15,s16,s17,s73,s87,s86,s85]) ).
cnf(s90,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s29,s7,s12]) ).
cnf(s91,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s29,s6,s11,s28]) ).
cnf(s92,plain,
~ spl0_2,
inference(rat,[],[s91,s90]) ).
cnf(s93,plain,
spl0_1,
inference(rat,[],[s2,s88,s92]) ).
cnf(s94,plain,
spl0_9,
inference(rat,[],[s39,s40,s46,s7,s12,s22,s27,s93]) ).
cnf(s95,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s31,s9,s10,s93]) ).
cnf(s96,plain,
( ~ spl0_12
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(rat,[],[s46,s45]) ).
cnf(s97,plain,
( ~ spl0_4
| ~ spl0_13
| spl0_14 ),
inference(rat,[],[s31,s19,s20,s96,s95,s93]) ).
cnf(s98,plain,
( ~ spl0_13
| spl0_14 ),
inference(rat,[],[s46,s45,s8,s18,s97]) ).
cnf(s99,plain,
spl0_13,
inference(rat,[],[s31,s23,s24,s25,s93]) ).
cnf(s100,plain,
spl0_14,
inference(rat,[],[s98,s99]) ).
cnf(s101,plain,
~ spl0_15,
inference(rat,[],[s32,s93,s100]) ).
cnf(s102,plain,
~ spl0_8,
inference(rat,[],[s69,s94,s101]) ).
cnf(s103,plain,
spl0_12,
inference(rat,[],[s21,s102]) ).
cnf(s105,plain,
spl0_10,
inference(rat,[],[s11,s102]) ).
cnf(s106,plain,
spl0_5,
inference(rat,[],[s6,s102]) ).
cnf(s107,plain,
spl0_20,
inference(rat,[],[s46,s105,s99,s103]) ).
cnf(s108,plain,
spl0_21,
inference(rat,[],[s40,s105,s99,s103,s106]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s39,s103,s93,s99,s108,s107]) ).
fof(f549,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP211-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n003.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 09:39:25 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.78 % (254899)Input is clausal, will run a generic CNF schedule.
% 1.76/1.78 % (254924)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2380537882:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.76/1.78 % (254924)First to succeed.
% 1.76/1.78 % (254924)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-254899"
% 1.76/1.78 % (254922)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2211621248:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.76/1.78 % (254918)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1385110841:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.76/1.78 % (254920)lrs+10_1_sil=8000:sp=occurrence:random_seed=2438247476:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.76/1.78 % (254917)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2057850959:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.76/1.78 % (254915)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=3086819615:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.76/1.78 % (254925)dis-21_1_sil=8000:lcm=predicate:random_seed=3846314616: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)
% 1.76/1.78 % (254925)Refutation not found, incomplete strategy
% 1.76/1.78 % (254925)------------------------------
% 1.76/1.78 % (254925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.76/1.78 % (254925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/1.78 % (254925)CaDiCaL version: 2.1.3
% 1.76/1.78 % (254925)Termination reason: Refutation not found, incomplete strategy
% 1.76/1.78 % (254925)Time elapsed: 0.003 s
% 1.76/1.78 % (254925)Peak memory usage: 88 MB
% 1.76/1.78 % (254925)Instructions burned: 2 (million)
% 1.76/1.78 % (254920)Instruction limit reached!
% 1.76/1.78 % (254920)------------------------------
% 1.76/1.78 % (254920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.76/1.78 % (254920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/1.78 % (254920)CaDiCaL version: 2.1.3
% 1.76/1.78 % (254920)Termination reason: Instruction limit
% 1.76/1.78 % (254920)Termination phase: Saturation
% 1.76/1.78 % (254920)Time elapsed: 0.097 s
% 1.76/1.78 % (254920)Peak memory usage: 89 MB
% 1.76/1.78 % (254920)Instructions burned: 107 (million)
% 1.76/1.78 % (254922)Instruction limit reached!
% 1.76/1.78 % (254922)------------------------------
% 1.76/1.78 % (254922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.76/1.78 % (254922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/1.78 % (254922)CaDiCaL version: 2.1.3
% 1.76/1.78 % (254922)Termination reason: Instruction limit
% 1.76/1.78 % (254922)Termination phase: Saturation
% 1.76/1.78 % (254922)Time elapsed: 0.098 s
% 1.76/1.78 % (254922)Peak memory usage: 89 MB
% 1.76/1.78 % (254922)Instructions burned: 115 (million)
% 1.76/1.78 % (254924)Refutation found. Thanks to Tanya!
% 1.76/1.78 % SZS status Unsatisfiable for theBenchmark
% 1.76/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 4.53/2.12 % (254924)------------------------------
% 4.53/2.12 % (254924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/2.12 % (254924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/2.12 % (254924)CaDiCaL version: 2.1.3
% 4.53/2.12 % (254924)Termination reason: Refutation
% 4.53/2.12 % (254924)Time elapsed: 0.013 s
% 4.53/2.12 % (254924)Peak memory usage: 89 MB
% 4.53/2.12 % (254924)Instructions burned: 21 (million)
% 4.53/2.12 % (254924)------------------------------
% 4.53/2.12 % (254924)------------------------------
% 4.53/2.12 % (254899)Success in time 0.495 s
% 4.53/2.12 % Vampire exiting
%------------------------------------------------------------------------------