%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:34:42 PM UTC 2026
% Result : Unsatisfiable 18.96s 4.91s
% Output : Refutation 18.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 20
% Syntax : Number of formulae : 185 ( 180 unt; 5 def)
% Number of atoms : 190 ( 189 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 182 ( 182 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f21,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-1.ax',modular_law_2_16) ).
fof(f22,plain,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top)
| join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
( composition(complement(composition(sk1,top)),top) != join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top))
| complement(composition(sk1,top)) != join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f28,plain,
! [X2,X0,X1] : complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))),
inference(definition_unfolding,[],[f22,f6,f6,f6,f6,f6]) ).
fof(f29,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f30,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f32,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF2 = composition(sF1,top),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f34,plain,
composition(sF1,top) = sF2,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = join(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
join(sF2,sF1) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
( sF2 != sF3
| sF1 != sF4 ),
inference(definition_folding,[],[f24,f38,f32,f30,f34,f32,f30,f32,f30,f36,f34,f32,f30,f32,f30,f34,f32,f30]) ).
fof(f40,plain,
join(sF1,sF2) = sF4,
inference(forward_demodulation,[],[f38,f1]) ).
fof(f41,plain,
sF3 = sF4,
inference(forward_demodulation,[],[f40,f36]) ).
fof(f46,plain,
zero = complement(top),
inference(superposition,[],[f25,f15]) ).
fof(f47,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f15,f25]) ).
fof(f48,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f51,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f48,f15]) ).
fof(f52,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f56,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f57,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f61,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f1,f11]) ).
fof(f62,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f12,f10]) ).
fof(f63,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f67,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f56,f15]) ).
fof(f81,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f86,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f2,f52]) ).
fof(f92,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f15,f2]) ).
fof(f94,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f103,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f106,plain,
! [X0] : composition(sk1,composition(top,X0)) = composition(sF0,X0),
inference(superposition,[],[f7,f30]) ).
fof(f116,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f128,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(superposition,[],[f1,f9]) ).
fof(f151,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f14,f12]) ).
fof(f156,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(superposition,[],[f14,f46]) ).
fof(f163,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f168,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f151,f1]) ).
fof(f177,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f168,f10]) ).
fof(f186,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f187,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f25]) ).
fof(f194,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f195,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f4,f25]) ).
fof(f200,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f202,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f195,f1]) ).
fof(f203,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f194,f1]) ).
fof(f210,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f186,f1]) ).
fof(f541,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f11,f61]) ).
fof(f610,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f63,f8]) ).
fof(f640,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f610,f10]) ).
fof(f656,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f14,f640]) ).
fof(f662,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f640]) ).
fof(f668,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f103,f640]) ).
fof(f669,plain,
one = converse(one),
inference(superposition,[],[f8,f640]) ).
fof(f676,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f668,f640]) ).
fof(f682,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f662,f669]) ).
fof(f685,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f656,f1]) ).
fof(f697,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f685,f676]) ).
fof(f712,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f81,f4]) ).
fof(f719,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f81,f15]) ).
fof(f733,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f712,f2]) ).
fof(f739,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f733,f94]) ).
fof(f741,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f739,f81]) ).
fof(f753,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f56,f669]) ).
fof(f790,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),join(complement(join(complement(composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),X2)),complement(X1))),complement(complement(join(complement(composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),X2)),complement(X1)))))),
inference(superposition,[],[f92,f28]) ).
fof(f848,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),top),
inference(forward_demodulation,[],[f790,f15]) ).
fof(f861,plain,
! [X2,X0,X1] : top = join(top,complement(join(complement(composition(X0,X2)),complement(X1)))),
inference(forward_demodulation,[],[f848,f1]) ).
fof(f868,plain,
! [X1] : top = join(top,complement(complement(X1))),
inference(forward_demodulation,[],[f861,f741]) ).
fof(f904,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(X0)))),
inference(superposition,[],[f86,f187]) ).
fof(f909,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(forward_demodulation,[],[f904,f741]) ).
fof(f912,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f909,f868]) ).
fof(f928,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f92,f912]) ).
fof(f929,plain,
top = converse(top),
inference(superposition,[],[f67,f912]) ).
fof(f930,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f57,f912]) ).
fof(f1049,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f62,f929]) ).
fof(f1299,plain,
! [X0] : join(complement(join(complement(X0),complement(top))),complement(top)) = X0,
inference(superposition,[],[f4,f928]) ).
fof(f1304,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(forward_demodulation,[],[f1299,f1]) ).
fof(f1316,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1304,f46]) ).
fof(f1318,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1316,f1]) ).
fof(f1635,plain,
top = join(zero,complement(join(zero,complement(complement(zero))))),
inference(superposition,[],[f202,f46]) ).
fof(f1646,plain,
top = complement(zero),
inference(forward_demodulation,[],[f1635,f1318]) ).
fof(f2431,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f200,f15]) ).
fof(f2450,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f2431,f1]) ).
fof(f2472,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f2450,f697]) ).
fof(f2486,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f2472,f46]) ).
fof(f2545,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(zero)))),
inference(superposition,[],[f203,f202]) ).
fof(f2547,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),complement(zero)))),
inference(superposition,[],[f203,f2486]) ).
fof(f2602,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(zero),complement(complement(X0))))),
inference(forward_demodulation,[],[f2547,f1]) ).
fof(f2604,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f2545,f1]) ).
fof(f2633,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2602,f1646]) ).
fof(f2635,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f2604,f1646]) ).
fof(f2653,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2633,f719]) ).
fof(f2655,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(complement(complement(X0))))))),
inference(forward_demodulation,[],[f2635,f741]) ).
fof(f2664,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f2653,f928]) ).
fof(f2666,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f2655,f719]) ).
fof(f2672,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f2664,f46]) ).
fof(f2674,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2666,f1]) ).
fof(f2677,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2672,f1]) ).
fof(f2679,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2674,f719]) ).
fof(f2683,plain,
! [X0] : join(complement(X0),complement(top)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2679,f928]) ).
fof(f2686,plain,
! [X0] : join(complement(X0),zero) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2683,f46]) ).
fof(f2687,plain,
! [X0] : join(zero,complement(X0)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2686,f1]) ).
fof(f2688,plain,
! [X0] : complement(X0) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2687,f2677]) ).
fof(f2726,plain,
! [X0] : join(zero,complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f210,f25]) ).
fof(f2786,plain,
! [X0] : complement(join(complement(complement(complement(X0))),complement(X0))) = X0,
inference(forward_demodulation,[],[f2726,f2677]) ).
fof(f2824,plain,
! [X0] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f2786,f1]) ).
fof(f2845,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2824,f2688]) ).
fof(f2886,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f2486,f2845]) ).
fof(f3188,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f2886]) ).
fof(f3202,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f57,f2886]) ).
fof(f3209,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f3202,f10]) ).
fof(f3241,plain,
! [X0] : composition(join(converse(top),X0),converse(sF1)) = join(converse(sF2),composition(X0,converse(sF1))),
inference(superposition,[],[f116,f34]) ).
fof(f3282,plain,
! [X0] : join(converse(sF2),composition(X0,converse(sF1))) = composition(converse(top),converse(sF1)),
inference(forward_demodulation,[],[f3241,f930]) ).
fof(f3303,plain,
! [X0] : converse(composition(sF1,top)) = join(converse(sF2),composition(X0,converse(sF1))),
inference(forward_demodulation,[],[f3282,f12]) ).
fof(f3319,plain,
! [X0] : join(converse(sF2),composition(X0,converse(sF1))) = composition(top,converse(sF1)),
inference(forward_demodulation,[],[f3303,f1049]) ).
fof(f3882,plain,
zero = converse(zero),
inference(superposition,[],[f3188,f3209]) ).
fof(f38198,plain,
! [X0] : zero = join(zero,composition(join(one,converse(X0)),complement(composition(join(one,X0),top)))),
inference(superposition,[],[f163,f753]) ).
fof(f38204,plain,
zero = join(zero,composition(top,complement(composition(top,top)))),
inference(superposition,[],[f163,f929]) ).
fof(f38246,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f38204,f2886]) ).
fof(f38251,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(composition(join(one,X0),top))),
inference(forward_demodulation,[],[f38198,f2886]) ).
fof(f38274,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))),
inference(forward_demodulation,[],[f38251,f682]) ).
fof(f38284,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(top)),
inference(forward_demodulation,[],[f38274,f912]) ).
fof(f38286,plain,
! [X0] : zero = composition(join(one,converse(X0)),zero),
inference(forward_demodulation,[],[f38284,f46]) ).
fof(f38288,plain,
! [X0] : zero = join(zero,composition(converse(X0),zero)),
inference(forward_demodulation,[],[f38286,f682]) ).
fof(f38290,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f38288,f2886]) ).
fof(f38309,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(superposition,[],[f63,f38290]) ).
fof(f38510,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f38309,f3882]) ).
fof(f46828,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f128,f38246]) ).
fof(f46944,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f46828,f2886]) ).
fof(f47018,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f46944,f928]) ).
fof(f47088,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47018,f38246]) ).
fof(f50912,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f640,f47088]) ).
fof(f52750,plain,
complement(zero) = composition(top,top),
inference(superposition,[],[f2845,f50912]) ).
fof(f52760,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f52750,f1646]) ).
fof(f54769,plain,
composition(sk1,top) = composition(sF0,top),
inference(superposition,[],[f106,f52760]) ).
fof(f54920,plain,
sF0 = composition(sF0,top),
inference(forward_demodulation,[],[f54769,f30]) ).
fof(f56352,plain,
zero = join(zero,composition(converse(sF0),complement(sF0))),
inference(superposition,[],[f163,f54920]) ).
fof(f56491,plain,
zero = composition(converse(sF0),complement(sF0)),
inference(forward_demodulation,[],[f56352,f2886]) ).
fof(f56553,plain,
zero = composition(converse(sF0),sF1),
inference(forward_demodulation,[],[f56491,f32]) ).
fof(f59432,plain,
complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,complement(converse(zero)))),
inference(superposition,[],[f177,f56553]) ).
fof(f59536,plain,
complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,complement(zero))),
inference(forward_demodulation,[],[f59432,f3882]) ).
fof(f59633,plain,
complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,top)),
inference(forward_demodulation,[],[f59536,f1646]) ).
fof(f59722,plain,
complement(converse(converse(sF0))) = join(composition(sF1,top),complement(converse(converse(sF0)))),
inference(forward_demodulation,[],[f59633,f1]) ).
fof(f59799,plain,
complement(sF0) = join(composition(sF1,top),complement(sF0)),
inference(forward_demodulation,[],[f59722,f10]) ).
fof(f59870,plain,
complement(sF0) = join(complement(sF0),composition(sF1,top)),
inference(forward_demodulation,[],[f59799,f1]) ).
fof(f59928,plain,
complement(sF0) = join(complement(sF0),sF2),
inference(forward_demodulation,[],[f59870,f34]) ).
fof(f59973,plain,
complement(sF0) = join(sF2,complement(sF0)),
inference(forward_demodulation,[],[f59928,f1]) ).
fof(f60012,plain,
sF1 = join(sF2,sF1),
inference(forward_demodulation,[],[f59973,f32]) ).
fof(f60050,plain,
sF1 = join(sF1,sF2),
inference(forward_demodulation,[],[f60012,f1]) ).
fof(f60408,plain,
sF1 = sF3,
inference(superposition,[],[f36,f60050]) ).
fof(f61848,plain,
( sF1 != sF2
| sF1 != sF4 ),
inference(superposition,[],[f39,f60408]) ).
fof(f61884,plain,
( sF1 != sF3
| sF1 != sF2 ),
inference(forward_demodulation,[],[f61848,f41]) ).
fof(f61888,plain,
sF1 != sF2,
inference(forward_subsumption_resolution,[],[f61884,f60408]) ).
fof(f73165,plain,
composition(top,converse(sF1)) = join(converse(sF2),converse(sF1)),
inference(superposition,[],[f3319,f640]) ).
fof(f73167,plain,
composition(top,converse(sF1)) = join(converse(sF2),zero),
inference(superposition,[],[f3319,f38510]) ).
fof(f73206,plain,
composition(top,converse(sF1)) = join(zero,converse(sF2)),
inference(forward_demodulation,[],[f73167,f1]) ).
fof(f73207,plain,
composition(top,converse(sF1)) = converse(join(sF2,sF1)),
inference(forward_demodulation,[],[f73165,f11]) ).
fof(f73221,plain,
converse(sF2) = composition(top,converse(sF1)),
inference(forward_demodulation,[],[f73206,f2886]) ).
fof(f73222,plain,
composition(top,converse(sF1)) = converse(join(sF1,sF2)),
inference(forward_demodulation,[],[f73207,f541]) ).
fof(f73234,plain,
converse(sF3) = composition(top,converse(sF1)),
inference(forward_demodulation,[],[f73222,f36]) ).
fof(f73244,plain,
converse(sF2) = converse(sF3),
inference(forward_demodulation,[],[f73234,f73221]) ).
fof(f73252,plain,
converse(sF1) = converse(sF2),
inference(forward_demodulation,[],[f73244,f60408]) ).
fof(f73267,plain,
sF2 = converse(converse(sF1)),
inference(superposition,[],[f10,f73252]) ).
fof(f73406,plain,
sF1 = sF2,
inference(forward_demodulation,[],[f73267,f10]) ).
fof(f73425,plain,
$false,
inference(forward_subsumption_resolution,[],[f73406,f61888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:57:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.40/2.62 % (274286)Will run a generic schedule for satisfiability detection.
% 15.40/2.62 % (274292)% WARNING: option uhcvi not known.
% 15.40/2.62 % (274295)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1405497393:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.40/2.62 % (274291)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4093176516_2999 on theBenchmark for (2999ds/0Mi)
% 15.40/2.62 % (274293)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2151885378:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.40/2.62 % (274292)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2158868922:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.40/2.62 % (274294)dis+10_1_sil=32000:sp=arity:random_seed=1912369106:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.40/2.62 % (274297)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1398822067:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.40/2.62 % (274296)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=490004686:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.40/2.62 % TRYING [1]
% 15.40/2.62 % TRYING [2]
% 15.40/2.62 % TRYING [3]
% 15.40/2.62 % TRYING [4]
% 15.40/2.62 % (274296)Instruction limit reached!
% 15.40/2.62 % (274296)------------------------------
% 15.40/2.62 % (274296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.62 % (274296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.62 % (274296)CaDiCaL version: 2.1.3
% 15.40/2.62 % (274296)Termination reason: Instruction limit
% 15.40/2.62 % (274296)Termination phase: Saturation
% 15.40/2.62 % (274296)Time elapsed: 0.042 s
% 15.40/2.62 % (274296)Peak memory usage: 13 MB
% 15.40/2.62 % (274296)Instructions burned: 135 (million)
% 15.40/2.62 % (274319)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3187754794:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.40/2.62 % (274294)Instruction limit reached!
% 15.40/2.62 % (274294)------------------------------
% 15.40/2.62 % (274294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.62 % (274294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.62 % (274294)CaDiCaL version: 2.1.3
% 15.40/2.62 % (274294)Termination reason: Instruction limit
% 15.40/2.62 % (274294)Termination phase: Saturation
% 15.40/2.62 % (274294)Time elapsed: 0.060 s
% 15.40/2.62 % (274294)Peak memory usage: 12 MB
% 15.40/2.62 % (274294)Instructions burned: 104 (million)
% 15.40/2.62 % TRYING [1]
% 15.40/2.62 % TRYING [2]
% 15.40/2.62 % TRYING [3]
% 15.40/2.62 % (274295)Instruction limit reached!
% 15.40/2.62 % (274295)------------------------------
% 15.40/2.62 % (274295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.62 % (274295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.62 % (274295)CaDiCaL version: 2.1.3
% 15.40/2.62 % (274295)Termination reason: Instruction limit
% 15.40/2.62 % (274295)Termination phase: Saturation
% 15.40/2.62 % (274295)Time elapsed: 0.070 s
% 15.40/2.62 % (274295)Peak memory usage: 13 MB
% 15.40/2.62 % (274295)Instructions burned: 117 (million)
% 15.40/2.62 % (274324)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2218078416:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.40/2.62 % TRYING [4]
% 15.40/2.62 % (274327)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=159262617:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 15.40/2.62 % (274297)Instruction limit reached!
% 15.40/2.62 % (274297)------------------------------
% 15.40/2.62 % (274297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.62 % (274297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.40/2.62 % (274297)CaDiCaL version: 2.1.3
% 15.40/2.62 % (274297)Termination reason: Instruction limit
% 15.40/2.62 % (274297)Termination phase: Saturation
% 15.40/2.62 % (274297)Time elapsed: 0.098 s
% 15.40/2.62 % (274297)Peak memory usage: 13 MB
% 15.40/2.62 % (274297)Instructions burned: 159 (million)
% 15.40/2.62 % (274342)ott-21_1_sil=16000:fs=off:random_seed=2550405233:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.40/2.62 % (274324)Instruction limit reached!
% 15.40/2.62 % (274324)------------------------------
% 15.40/2.62 % (274324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.40/2.62 % (274324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274324)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274324)Termination reason: Instruction limit
% 18.96/4.91 % (274324)Termination phase: Saturation
% 18.96/4.91 % (274324)Time elapsed: 0.085 s
% 18.96/4.91 % (274324)Peak memory usage: 13 MB
% 18.96/4.91 % (274324)Instructions burned: 132 (million)
% 18.96/4.91 % TRYING [5]
% 18.96/4.91 % (274373)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2375835985:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.96/4.91 % (274342)Instruction limit reached!
% 18.96/4.91 % (274342)------------------------------
% 18.96/4.91 % (274342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274342)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274342)Termination reason: Instruction limit
% 18.96/4.91 % (274342)Termination phase: Saturation
% 18.96/4.91 % (274342)Time elapsed: 0.087 s
% 18.96/4.91 % (274342)Peak memory usage: 12 MB
% 18.96/4.91 % (274342)Instructions burned: 180 (million)
% 18.96/4.91 % TRYING [5]
% 18.96/4.91 % (274319)Instruction limit reached!
% 18.96/4.91 % (274319)------------------------------
% 18.96/4.91 % (274319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274319)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274319)Termination reason: Instruction limit
% 18.96/4.91 % (274319)Termination phase: Finite model building constraint generation
% 18.96/4.91 % (274319)Time elapsed: 0.162 s
% 18.96/4.91 % (274319)Peak memory usage: 28 MB
% 18.96/4.91 % (274319)Instructions burned: 718 (million)
% 18.96/4.91 % (274386)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2183082052:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.96/4.91 % (274391)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=480418188:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.96/4.91 % TRYING [1]
% 18.96/4.91 % TRYING [2]
% 18.96/4.91 % TRYING [3]
% 18.96/4.91 % TRYING [4]
% 18.96/4.91 % (274373)Instruction limit reached!
% 18.96/4.91 % (274373)------------------------------
% 18.96/4.91 % (274373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274373)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274373)Termination reason: Instruction limit
% 18.96/4.91 % (274373)Termination phase: Saturation
% 18.96/4.91 % (274373)Time elapsed: 0.258 s
% 18.96/4.91 % (274373)Peak memory usage: 16 MB
% 18.96/4.91 % (274373)Instructions burned: 478 (million)
% 18.96/4.91 % (274327)Instruction limit reached!
% 18.96/4.91 % (274327)------------------------------
% 18.96/4.91 % (274327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274327)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274327)Termination reason: Instruction limit
% 18.96/4.91 % (274327)Termination phase: Saturation
% 18.96/4.91 % (274327)Time elapsed: 0.364 s
% 18.96/4.91 % (274327)Peak memory usage: 19 MB
% 18.96/4.91 % (274327)Instructions burned: 684 (million)
% 18.96/4.91 % (274420)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2667879657:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.96/4.91 % (274421)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3553170677:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 18.96/4.91 % (274386)Instruction limit reached!
% 18.96/4.91 % (274386)------------------------------
% 18.96/4.91 % (274386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274386)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274386)Termination reason: Instruction limit
% 18.96/4.91 % (274386)Termination phase: Finite model building SAT solving
% 18.96/4.91 % (274386)Time elapsed: 0.299 s
% 18.96/4.91 % (274386)Peak memory usage: 23 MB
% 18.96/4.91 % (274386)Instructions burned: 867 (million)
% 18.96/4.91 % (274424)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3538845510:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.96/4.91 % (274391)Instruction limit reached!
% 18.96/4.91 % (274391)------------------------------
% 18.96/4.91 % (274391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274391)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274391)Termination reason: Instruction limit
% 18.96/4.91 % (274391)Termination phase: Saturation
% 18.96/4.91 % (274391)Time elapsed: 0.372 s
% 18.96/4.91 % (274391)Peak memory usage: 22 MB
% 18.96/4.91 % (274391)Instructions burned: 1181 (million)
% 18.96/4.91 % (274431)fmb+10_1_sil=64000:random_seed=2560152120:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 18.96/4.91 % TRYING [1]
% 18.96/4.91 % TRYING [2]
% 18.96/4.91 % TRYING [3]
% 18.96/4.91 % TRYING [4]
% 18.96/4.91 % TRYING [5]
% 18.96/4.91 % (274421)Instruction limit reached!
% 18.96/4.91 % (274421)------------------------------
% 18.96/4.91 % (274421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274421)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274421)Termination reason: Instruction limit
% 18.96/4.91 % (274421)Termination phase: Saturation
% 18.96/4.91 % (274421)Time elapsed: 0.399 s
% 18.96/4.91 % (274421)Peak memory usage: 17 MB
% 18.96/4.91 % (274421)Instructions burned: 692 (million)
% 18.96/4.91 % (274441)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1765295116:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 18.96/4.91 % TRYING [20]
% 18.96/4.91 % (274420)Instruction limit reached!
% 18.96/4.91 % (274420)------------------------------
% 18.96/4.91 % (274420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274420)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274420)Termination reason: Instruction limit
% 18.96/4.91 % (274420)Termination phase: Finite model building constraint generation
% 18.96/4.91 % (274420)Time elapsed: 0.436 s
% 18.96/4.91 % (274420)Peak memory usage: 104 MB
% 18.96/4.91 % (274420)Instructions burned: 892 (million)
% 18.96/4.91 % (274443)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1804021861:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 18.96/4.91 % TRYING [8]
% 18.96/4.91 % TRYING [6]
% 18.96/4.91 % (274424)Instruction limit reached!
% 18.96/4.91 % (274424)------------------------------
% 18.96/4.91 % (274424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274424)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274424)Termination reason: Instruction limit
% 18.96/4.91 % (274424)Termination phase: Saturation
% 18.96/4.91 % (274424)Time elapsed: 0.467 s
% 18.96/4.91 % (274424)Peak memory usage: 18 MB
% 18.96/4.91 % (274424)Instructions burned: 881 (million)
% 18.96/4.91 % (274445)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2156508830:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 18.96/4.91 % (274443)Instruction limit reached!
% 18.96/4.91 % (274443)------------------------------
% 18.96/4.91 % (274443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274443)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274443)Termination reason: Instruction limit
% 18.96/4.91 % (274443)Termination phase: Finite model building constraint generation
% 18.96/4.91 % (274443)Time elapsed: 0.384 s
% 18.96/4.91 % (274443)Peak memory usage: 75 MB
% 18.96/4.91 % (274443)Instructions burned: 921 (million)
% 18.96/4.91 % (274456)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1134884371:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 18.96/4.91 % TRYING [6]
% 18.96/4.91 % (274456)Instruction limit reached!
% 18.96/4.91 % (274456)------------------------------
% 18.96/4.91 % (274456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274456)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274456)Termination reason: Instruction limit
% 18.96/4.91 % (274456)Termination phase: Saturation
% 18.96/4.91 % (274456)Time elapsed: 0.772 s
% 18.96/4.91 % (274456)Peak memory usage: 27 MB
% 18.96/4.91 % (274456)Instructions burned: 1474 (million)
% 18.96/4.91 % (274471)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=592527588:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 18.96/4.91 % (274471)Cannot represent all propositional literals internally
% 18.96/4.91 % (274471)Refutation not found, incomplete strategy
% 18.96/4.91 % (274471)------------------------------
% 18.96/4.91 % (274471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274471)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274471)Termination reason: Refutation not found, incomplete strategy
% 18.96/4.91 % (274471)Time elapsed: 0.006 s
% 18.96/4.91 % (274471)Peak memory usage: 10 MB
% 18.96/4.91 % (274471)Instructions burned: 13 (million)
% 18.96/4.91 % (274471)------------------------------
% 18.96/4.91 % (274471)------------------------------
% 18.96/4.91 % (274473)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3562476337:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 18.96/4.91 % TRYING [16]
% 18.96/4.91 % (274473)Instruction limit reached!
% 18.96/4.91 % (274473)------------------------------
% 18.96/4.91 % (274473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274473)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274473)Termination reason: Instruction limit
% 18.96/4.91 % (274473)Termination phase: Finite model building constraint generation
% 18.96/4.91 % (274473)Time elapsed: 0.766 s
% 18.96/4.91 % (274473)Peak memory usage: 132 MB
% 18.96/4.91 % (274473)Instructions burned: 2177 (million)
% 18.96/4.91 % (274480)ott-2_1_sil=16000:newcnf=on:random_seed=242173232:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 18.96/4.91 % (274480)Instruction limit reached!
% 18.96/4.91 % (274480)------------------------------
% 18.96/4.91 % (274480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.91 % (274480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.91 % (274480)CaDiCaL version: 2.1.3
% 18.96/4.91 % (274480)Termination reason: Instruction limit
% 18.96/4.91 % (274480)Termination phase: Saturation
% 18.96/4.91 % (274480)Time elapsed: 0.280 s
% 18.96/4.91 % (274480)Peak memory usage: 20 MB
% 18.96/4.91 % (274480)Instructions burned: 870 (million)
% 18.96/4.91 % (274483)ott+10_1_sil=32000:tgt=ground:random_seed=86003894:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 18.96/4.91 % (274483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-274286-274483"...
% 18.96/4.91 % (274483)...printing done.
% 18.96/4.91 % (274483)Refutation found. Thanks to Tanya!
% 18.96/4.91 % SZS status Unsatisfiable for theBenchmark
% 18.96/4.91 % SZS output start Proof for theBenchmark
% See solution above
% 18.96/4.92 % (274483)------------------------------
% 18.96/4.92 % (274483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/4.92 % (274483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/4.92 % (274483)CaDiCaL version: 2.1.3
% 18.96/4.92 % (274483)Termination reason: Refutation
% 18.96/4.92 % (274483)Time elapsed: 1.090 s
% 18.96/4.92 % (274483)Peak memory usage: 43 MB
% 18.96/4.92 % (274483)Instructions burned: 3404 (million)
% 18.96/4.92 % (274286)Success in time 4.491 s
% 18.96/4.92 % Vampire exiting
%------------------------------------------------------------------------------