%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:33:53 PM UTC 2026
% Result : Theorem 9.34s 2.19s
% Output : Refutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 27
% Syntax : Number of formulae : 137 ( 119 unt; 15 def)
% Number of atoms : 161 ( 138 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 16 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 115 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f14,conjecture,
! [X0] :
( join(X0,one) = one
=> ( join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one)
& join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( join(X0,one) = one
=> ( join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one)
& join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( ( meet(complement(X0),one) != join(meet(complement(composition(X0,top)),one),meet(complement(X0),one))
| meet(complement(composition(X0,top)),one) != join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) )
& join(X0,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one))
| meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one)) )
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
( meet(complement(sK0),one) != join(meet(complement(composition(sK0,top)),one),meet(complement(sK0),one))
| meet(complement(composition(sK0,top)),one) != join(meet(complement(sK0),one),meet(complement(composition(sK0,top)),one)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
( complement(join(complement(complement(sK0)),complement(one))) != join(complement(join(complement(complement(composition(sK0,top))),complement(one))),complement(join(complement(complement(sK0)),complement(one))))
| complement(join(complement(complement(composition(sK0,top))),complement(one))) != join(complement(join(complement(complement(sK0)),complement(one))),complement(join(complement(complement(composition(sK0,top))),complement(one)))) ),
inference(definition_unfolding,[],[f32,f21,f21,f21,f21,f21,f21]) ).
fof(f35,definition,
sF1 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
complement(sK0) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = complement(one),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
complement(one) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
composition(sK0,top) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = join(sF8,sF3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
join(sF8,sF3) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f54,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF11 = join(sF10,sF5),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f56,plain,
join(sF10,sF5) = sF11,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF12 = join(sF5,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f58,plain,
join(sF5,sF10) = sF12,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
( sF5 != sF11
| sF10 != sF12 ),
inference(definition_folding,[],[f34,f58,f54,f52,f40,f50,f48,f46,f44,f42,f40,f38,f36,f54,f52,f40,f50,f48,f46,f56,f44,f42,f40,f38,f36,f54,f52,f40,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f60,definition,
sF13 = join(sK0,one),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f61,plain,
join(sK0,one) = sF13,
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
one = sF13,
inference(definition_folding,[],[f31,f61]) ).
fof(f64,definition,
( spl14_1
<=> sF10 = sF12 ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f66,plain,
( sF10 != sF12
| spl14_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl14_2
<=> sF5 = sF11 ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f69,plain,
( sF5 = sF11
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f59,f68,f64]) ).
fof(f72,plain,
one = join(sK0,one),
inference(forward_demodulation,[],[f61,f62]) ).
fof(f120,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f121,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f127,plain,
sF11 = join(sF5,sF10),
inference(superposition,[],[f56,f18]) ).
fof(f128,plain,
sF11 = sF12,
inference(forward_demodulation,[],[f127,f58]) ).
fof(f136,plain,
( sF10 != sF11
| spl14_1 ),
inference(superposition,[],[f66,f128]) ).
fof(f158,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f171,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f193,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f195,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f265,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f195,f27]) ).
fof(f275,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f265,f26]) ).
fof(f278,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f275,f26]) ).
fof(f280,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f278,f27]) ).
fof(f402,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f280]) ).
fof(f413,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f402,f25]) ).
fof(f508,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f193,f23]) ).
fof(f522,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f508,f25]) ).
fof(f536,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f24,f522]) ).
fof(f544,plain,
one = converse(one),
inference(superposition,[],[f23,f522]) ).
fof(f556,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f536,f544]) ).
fof(f610,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f522,f544]) ).
fof(f627,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f610]) ).
fof(f644,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f627,f522]) ).
fof(f665,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f158,f644]) ).
fof(f667,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f665,f20]) ).
fof(f686,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f667,f667]) ).
fof(f734,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(superposition,[],[f121,f120]) ).
fof(f789,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f734,f19]) ).
fof(f797,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f789,f667]) ).
fof(f821,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X1),complement(join(X0,complement(X1)))),
inference(superposition,[],[f797,f18]) ).
fof(f1036,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f20,f686]) ).
fof(f1052,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1036,f821]) ).
fof(f1063,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1052,f644]) ).
fof(f1068,plain,
one = complement(sF3),
inference(superposition,[],[f1063,f40]) ).
fof(f1070,plain,
sK0 = complement(sF1),
inference(superposition,[],[f1063,f36]) ).
fof(f1073,plain,
sF6 = complement(sF7),
inference(superposition,[],[f1063,f48]) ).
fof(f1091,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f644,f1063]) ).
fof(f1092,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f667,f1063]) ).
fof(f1097,plain,
sF6 = sF8,
inference(forward_demodulation,[],[f1073,f50]) ).
fof(f1098,plain,
sK0 = sF2,
inference(forward_demodulation,[],[f1070,f38]) ).
fof(f1101,plain,
sF6 = composition(sF2,top),
inference(superposition,[],[f46,f1098]) ).
fof(f1103,plain,
sF9 = join(sF6,sF3),
inference(superposition,[],[f52,f1097]) ).
fof(f1115,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1092,f18]) ).
fof(f1138,plain,
complement(sK0) = join(complement(sK0),complement(one)),
inference(superposition,[],[f1092,f72]) ).
fof(f1179,plain,
complement(sK0) = join(complement(sK0),sF3),
inference(forward_demodulation,[],[f1138,f40]) ).
fof(f1200,plain,
sF1 = join(sF1,sF3),
inference(forward_demodulation,[],[f1179,f36]) ).
fof(f1257,plain,
complement(sF3) = join(complement(sF3),complement(sF1)),
inference(superposition,[],[f1115,f1200]) ).
fof(f1300,plain,
complement(sF3) = join(complement(sF3),sF2),
inference(forward_demodulation,[],[f1257,f38]) ).
fof(f1322,plain,
one = join(one,sF2),
inference(forward_demodulation,[],[f1300,f1068]) ).
fof(f1639,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF2,X0)),
inference(superposition,[],[f556,f1322]) ).
fof(f1653,plain,
! [X0] : join(X0,composition(sF2,X0)) = X0,
inference(forward_demodulation,[],[f1639,f610]) ).
fof(f1717,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF2,X0),X1)),
inference(superposition,[],[f171,f1653]) ).
fof(f1761,plain,
sF9 = join(sF3,sF6),
inference(superposition,[],[f18,f1103]) ).
fof(f3627,plain,
! [X0,X1] : join(composition(sF2,X1),X0) = join(X0,composition(sF2,join(X0,X1))),
inference(superposition,[],[f1717,f413]) ).
fof(f3756,plain,
! [X0] : join(composition(sF2,complement(X0)),X0) = join(X0,composition(sF2,top)),
inference(superposition,[],[f3627,f29]) ).
fof(f3918,plain,
! [X0] : join(X0,sF6) = join(composition(sF2,complement(X0)),X0),
inference(forward_demodulation,[],[f3756,f1101]) ).
fof(f3947,plain,
join(sF3,sF6) = join(composition(sF2,one),sF3),
inference(superposition,[],[f3918,f1068]) ).
fof(f3996,plain,
join(sF2,sF3) = join(sF3,sF6),
inference(forward_demodulation,[],[f3947,f23]) ).
fof(f4013,plain,
join(sF2,sF3) = sF9,
inference(forward_demodulation,[],[f3996,f1761]) ).
fof(f4018,plain,
sF4 = sF9,
inference(forward_demodulation,[],[f4013,f42]) ).
fof(f4019,plain,
complement(sF4) = sF10,
inference(superposition,[],[f54,f4018]) ).
fof(f4020,plain,
sF5 = sF10,
inference(forward_demodulation,[],[f4019,f44]) ).
fof(f4021,plain,
sF11 = join(sF5,sF5),
inference(superposition,[],[f56,f4020]) ).
fof(f4033,plain,
sF5 = sF11,
inference(forward_demodulation,[],[f4021,f1091]) ).
fof(f4035,plain,
spl14_2,
inference(avatar_split_clause,[],[f4033,f68]) ).
fof(f4144,plain,
( sF5 != sF10
| spl14_1
| ~ spl14_2 ),
inference(superposition,[],[f136,f69]) ).
fof(f4154,plain,
( $false
| spl14_1
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f4144,f4020]) ).
fof(f4155,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f4154]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
spl14_2,
inference(sat_conversion,[],[f4035]) ).
cnf(s4,plain,
( spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f4155]) ).
cnf(s5,plain,
spl14_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f4157,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL027+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 22:53:54 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 9.34/2.19 % (1698574)Detected formulas, will run a generic FOF schedule.
% 9.34/2.19 % (1698579)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=3073138187:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.34/2.19 % (1698583)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2933664252:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.34/2.19 % (1698585)dis-21_1_sil=8000:lcm=predicate:random_seed=446342885:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.34/2.19 % (1698584)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1155321516:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.34/2.19 % (1698581)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3194818640:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.34/2.19 % (1698582)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3596894012:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.34/2.19 % (1698580)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2600983367:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.34/2.19 % (1698585)Refutation not found, incomplete strategy
% 9.34/2.19 % (1698585)------------------------------
% 9.34/2.19 % (1698585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698585)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698585)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.19 % (1698585)Time elapsed: 0.002 s
% 9.34/2.19 % (1698585)Peak memory usage: 88 MB
% 9.34/2.19 % (1698585)Instructions burned: 1 (million)
% 9.34/2.19 % (1698583)Instruction limit reached!
% 9.34/2.19 % (1698583)------------------------------
% 9.34/2.19 % (1698583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698583)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698583)Termination reason: Instruction limit
% 9.34/2.19 % (1698583)Termination phase: Saturation
% 9.34/2.19 % (1698583)Time elapsed: 0.103 s
% 9.34/2.19 % (1698583)Peak memory usage: 89 MB
% 9.34/2.19 % (1698583)Instructions burned: 119 (million)
% 9.34/2.19 % (1698582)Instruction limit reached!
% 9.34/2.19 % (1698582)------------------------------
% 9.34/2.19 % (1698582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698582)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698582)Termination reason: Instruction limit
% 9.34/2.19 % (1698582)Termination phase: Saturation
% 9.34/2.19 % (1698582)Time elapsed: 0.107 s
% 9.34/2.19 % (1698582)Peak memory usage: 89 MB
% 9.34/2.19 % (1698582)Instructions burned: 109 (million)
% 9.34/2.19 % (1698584)Instruction limit reached!
% 9.34/2.19 % (1698584)------------------------------
% 9.34/2.19 % (1698584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698584)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698584)Termination reason: Instruction limit
% 9.34/2.19 % (1698584)Termination phase: Saturation
% 9.34/2.19 % (1698584)Time elapsed: 0.133 s
% 9.34/2.19 % (1698584)Peak memory usage: 90 MB
% 9.34/2.19 % (1698584)Instructions burned: 139 (million)
% 9.34/2.19 % (1698593)lrs+10_1_sil=8000:sp=occurrence:random_seed=2078861393:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.34/2.19 % (1698594)lrs+10_1_sil=32000:urr=on:br=off:random_seed=626805209:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.34/2.19 % (1698585)------------------------------
% 9.34/2.19 % (1698585)------------------------------
% 9.34/2.19 % (1698595)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4060268129:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.34/2.19 % (1698594)Instruction limit reached!
% 9.34/2.19 % (1698594)------------------------------
% 9.34/2.19 % (1698594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698594)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698594)Termination reason: Instruction limit
% 9.34/2.19 % (1698594)Termination phase: Saturation
% 9.34/2.19 % (1698594)Time elapsed: 0.158 s
% 9.34/2.19 % (1698594)Peak memory usage: 90 MB
% 9.34/2.19 % (1698594)Instructions burned: 157 (million)
% 9.34/2.19 % (1698593)Instruction limit reached!
% 9.34/2.19 % (1698593)------------------------------
% 9.34/2.19 % (1698593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698593)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698593)Termination reason: Instruction limit
% 9.34/2.19 % (1698593)Termination phase: Saturation
% 9.34/2.19 % (1698593)Time elapsed: 0.203 s
% 9.34/2.19 % (1698593)Peak memory usage: 92 MB
% 9.34/2.19 % (1698593)Instructions burned: 286 (million)
% 9.34/2.19 % (1698598)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3800550018:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.34/2.19 % (1698595)Instruction limit reached!
% 9.34/2.19 % (1698595)------------------------------
% 9.34/2.19 % (1698595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698595)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698595)Termination reason: Instruction limit
% 9.34/2.19 % (1698595)Termination phase: Saturation
% 9.34/2.19 % (1698595)Time elapsed: 0.315 s
% 9.34/2.19 % (1698595)Peak memory usage: 92 MB
% 9.34/2.19 % (1698595)Instructions burned: 325 (million)
% 9.34/2.19 % (1698600)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4025054080:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 9.34/2.19 % (1698579)First to succeed.
% 9.34/2.19 % (1698579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1698574"
% 9.34/2.19 % (1698601)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1165947550:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.34/2.19 % (1698598)Instruction limit reached!
% 9.34/2.19 % (1698598)------------------------------
% 9.34/2.19 % (1698598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.19 % (1698598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.19 % (1698598)CaDiCaL version: 2.1.3
% 9.34/2.19 % (1698598)Termination reason: Instruction limit
% 9.34/2.19 % (1698598)Termination phase: Saturation
% 9.34/2.19 % (1698598)Time elapsed: 0.252 s
% 9.34/2.19 % (1698598)Peak memory usage: 92 MB
% 9.34/2.19 % (1698598)Instructions burned: 249 (million)
% 9.34/2.19 % (1698579)Refutation found. Thanks to Tanya!
% 9.34/2.19 % SZS status Theorem for theBenchmark
% 9.34/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 10.00/2.43 % (1698579)------------------------------
% 10.00/2.43 % (1698579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.00/2.43 % (1698579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/2.43 % (1698579)CaDiCaL version: 2.1.3
% 10.00/2.43 % (1698579)Termination reason: Refutation
% 10.00/2.43 % (1698579)Time elapsed: 0.879 s
% 10.00/2.43 % (1698579)Peak memory usage: 136 MB
% 10.00/2.43 % (1698579)Instructions burned: 1559 (million)
% 10.00/2.43 % (1698579)------------------------------
% 10.00/2.43 % (1698579)------------------------------
% 10.00/2.43 % (1698574)Success in time 1.322 s
% 10.00/2.43 % Vampire exiting
%------------------------------------------------------------------------------