%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL041+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:34:05 PM UTC 2026
% Result : Theorem 23.62s 4.19s
% Output : Refutation 24.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 14
% Syntax : Number of formulae : 169 ( 165 unt; 0 def)
% Number of atoms : 173 ( 172 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 267 ( 265 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law) ).
fof(f17,conjecture,
! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( ? [X1] : zero != meet(composition(X0,X1),composition(X0,complement(X1)))
& join(composition(converse(X0),X0),one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( zero != meet(composition(sK0,sK1),composition(sK0,complement(sK1)))
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).
fof(f21,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
zero != meet(composition(sK0,sK1),composition(sK0,complement(sK1))),
inference(cnf_transformation,[],[f20]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
fof(f26,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f38,plain,
zero != complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,complement(sK1))))),
inference(definition_unfolding,[],[f22,f32]) ).
fof(f41,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f25,f32,f32,f32,f32,f32]) ).
fof(f42,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f36,f32]) ).
fof(f43,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f33,f35]) ).
fof(f44,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f26,f35]) ).
fof(f47,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f21,f35]) ).
fof(f48,plain,
zero = complement(join(zero,complement(zero))),
inference(superposition,[],[f42,f42]) ).
fof(f53,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f43,f43]) ).
fof(f56,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f53,f35]) ).
fof(f61,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f43,f35]) ).
fof(f62,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f43,f35]) ).
fof(f91,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f28,f29]) ).
fof(f183,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f44,f29]) ).
fof(f220,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f27,f29]) ).
fof(f223,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f30,f27]) ).
fof(f224,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(superposition,[],[f44,f27]) ).
fof(f225,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f224,f29]) ).
fof(f230,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f220,f37]) ).
fof(f241,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f230,f29]) ).
fof(f252,plain,
one = converse(one),
inference(superposition,[],[f37,f241]) ).
fof(f254,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f30,f241]) ).
fof(f262,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f34,f43]) ).
fof(f273,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f35,f34]) ).
fof(f289,plain,
! [X2,X0,X1] : join(join(complement(X0),complement(complement(X0))),X1) = join(complement(join(zero,X2)),join(complement(join(zero,complement(X2))),X1)),
inference(superposition,[],[f262,f42]) ).
fof(f290,plain,
! [X0,X1] : join(join(zero,complement(zero)),X0) = join(complement(join(zero,X1)),join(complement(join(zero,complement(X1))),X0)),
inference(superposition,[],[f262,f48]) ).
fof(f302,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f262,f62]) ).
fof(f317,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f302,f35]) ).
fof(f327,plain,
! [X0,X1] : join(complement(join(zero,X1)),join(complement(join(zero,complement(X1))),X0)) = join(zero,join(complement(zero),X0)),
inference(forward_demodulation,[],[f290,f34]) ).
fof(f328,plain,
! [X2,X0,X1] : join(complement(join(zero,X2)),join(complement(join(zero,complement(X2))),X1)) = join(complement(X0),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f289,f34]) ).
fof(f342,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),X1)) = join(zero,join(complement(zero),X1)),
inference(forward_demodulation,[],[f328,f327]) ).
fof(f448,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f241,f252]) ).
fof(f478,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f183,f448]) ).
fof(f491,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f478,f241]) ).
fof(f508,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f262,f491]) ).
fof(f509,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f62,f491]) ).
fof(f513,plain,
! [X0] : join(X0,complement(join(complement(complement(complement(X0))),complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f509,f317]) ).
fof(f514,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f508,f43]) ).
fof(f524,plain,
! [X0] : join(X0,complement(join(complement(complement(X0)),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f513,f35]) ).
fof(f533,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f524,f42]) ).
fof(f544,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f35,f533]) ).
fof(f551,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(superposition,[],[f91,f533]) ).
fof(f552,plain,
! [X0] : join(X0,converse(zero)) = X0,
inference(forward_demodulation,[],[f551,f29]) ).
fof(f561,plain,
zero = complement(complement(zero)),
inference(superposition,[],[f48,f544]) ).
fof(f581,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f514,f56]) ).
fof(f598,plain,
! [X0,X1] : join(complement(join(complement(X0),join(complement(complement(X0)),complement(X1)))),complement(complement(X0))) = X0,
inference(superposition,[],[f43,f514]) ).
fof(f605,plain,
! [X0] : zero = complement(join(complement(zero),complement(X0))),
inference(superposition,[],[f544,f514]) ).
fof(f610,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),complement(X1))))) = X0,
inference(forward_demodulation,[],[f598,f35]) ).
fof(f623,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(zero,join(complement(zero),complement(X1))))) = X0,
inference(forward_demodulation,[],[f610,f342]) ).
fof(f631,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(zero),complement(X1)))) = X0,
inference(forward_demodulation,[],[f623,f544]) ).
fof(f638,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f631,f605]) ).
fof(f645,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f638,f35]) ).
fof(f650,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f645,f544]) ).
fof(f659,plain,
! [X0] : zero = complement(join(X0,complement(X0))),
inference(superposition,[],[f42,f650]) ).
fof(f660,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f43,f650]) ).
fof(f666,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f61,f650]) ).
fof(f696,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f581,f35]) ).
fof(f819,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f581,f660]) ).
fof(f825,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f62,f660]) ).
fof(f830,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f825,f35]) ).
fof(f836,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f819,f35]) ).
fof(f866,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f830,f650]) ).
fof(f872,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f836,f273]) ).
fof(f890,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f866,f34]) ).
fof(f896,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f872,f650]) ).
fof(f906,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f890,f696]) ).
fof(f916,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f906,f650]) ).
fof(f934,plain,
! [X0,X1] : join(X0,complement(complement(join(X0,X1)))) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f916,f916]) ).
fof(f955,plain,
! [X2,X0,X1] : join(X0,join(complement(join(X0,X1)),X2)) = join(X2,join(X0,complement(X1))),
inference(superposition,[],[f273,f916]) ).
fof(f1003,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f934,f916]) ).
fof(f1025,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1003,f650]) ).
fof(f1043,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1025,f650]) ).
fof(f1255,plain,
! [X0] : join(X0,complement(X0)) = complement(zero),
inference(superposition,[],[f650,f659]) ).
fof(f1309,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f1043,f35]) ).
fof(f1454,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f666,f35]) ).
fof(f1530,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(X0))) = join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))),
inference(superposition,[],[f916,f666]) ).
fof(f1535,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(X0))) = join(complement(join(X0,X1)),join(complement(X1),X0)),
inference(forward_demodulation,[],[f1530,f650]) ).
fof(f1592,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(X0))) = join(X0,join(complement(join(X0,X1)),complement(X1))),
inference(forward_demodulation,[],[f1535,f273]) ).
fof(f1641,plain,
! [X0,X1] : join(complement(X1),join(X0,complement(X1))) = join(complement(join(X0,X1)),complement(complement(X0))),
inference(forward_demodulation,[],[f1592,f955]) ).
fof(f1678,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(X0,X1))) = join(complement(X1),join(X0,complement(X1))),
inference(forward_demodulation,[],[f1641,f35]) ).
fof(f1707,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1678,f896]) ).
fof(f1727,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1707,f650]) ).
fof(f1771,plain,
! [X0] : join(X0,complement(X0)) = join(complement(zero),X0),
inference(superposition,[],[f1727,f533]) ).
fof(f1860,plain,
! [X0] : complement(zero) = join(complement(zero),X0),
inference(forward_demodulation,[],[f1771,f1255]) ).
fof(f2273,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(join(X0,X1),X2)),
inference(superposition,[],[f1309,f30]) ).
fof(f2322,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = composition(join(X1,join(X0,X1)),X2),
inference(forward_demodulation,[],[f2273,f30]) ).
fof(f2353,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = composition(join(X1,X0),X2),
inference(forward_demodulation,[],[f2322,f896]) ).
fof(f2400,plain,
zero = converse(zero),
inference(superposition,[],[f544,f552]) ).
fof(f2540,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(complement(zero)),
inference(superposition,[],[f91,f1255]) ).
fof(f7079,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f223,f27]) ).
fof(f7118,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f7079,f28]) ).
fof(f7134,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f7118,f28]) ).
fof(f7143,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f7134,f27]) ).
fof(f7162,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f29,f7143]) ).
fof(f7172,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f7162,f29]) ).
fof(f7201,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f7172,f37]) ).
fof(f7262,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),sK0))),
inference(superposition,[],[f7201,f47]) ).
fof(f7365,plain,
! [X0] : join(X0,composition(X0,composition(converse(sK0),sK0))) = X0,
inference(forward_demodulation,[],[f7262,f37]) ).
fof(f7431,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),composition(converse(sK0),sK0)))),
inference(superposition,[],[f91,f7365]) ).
fof(f7435,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(composition(converse(sK0),sK0)),X0)),
inference(forward_demodulation,[],[f7431,f220]) ).
fof(f7459,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(composition(converse(sK0),sK0),X0)),
inference(forward_demodulation,[],[f7435,f220]) ).
fof(f7473,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f7459,f31]) ).
fof(f7478,plain,
! [X0] : join(X0,composition(converse(sK0),composition(sK0,X0))) = X0,
inference(forward_demodulation,[],[f7473,f29]) ).
fof(f9084,plain,
! [X2,X0,X1] : composition(complement(join(complement(X1),complement(composition(X2,X0)))),complement(join(complement(converse(X0)),complement(composition(converse(X1),X2))))) = join(complement(join(complement(composition(X1,converse(X0))),complement(X2))),composition(complement(join(complement(X1),complement(composition(X2,X0)))),complement(join(complement(converse(X0)),complement(composition(converse(X1),X2)))))),
inference(superposition,[],[f41,f29]) ).
fof(f9455,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(composition(converse(sK0),composition(sK0,X0)))),
inference(superposition,[],[f916,f7478]) ).
fof(f9498,plain,
! [X0] : complement(zero) = join(X0,complement(composition(converse(sK0),composition(sK0,X0)))),
inference(forward_demodulation,[],[f9455,f1255]) ).
fof(f9741,plain,
! [X0] : composition(X0,complement(zero)) = join(X0,composition(X0,complement(composition(converse(sK0),composition(sK0,one))))),
inference(superposition,[],[f7201,f9498]) ).
fof(f9748,plain,
! [X0] : composition(X0,complement(zero)) = join(X0,composition(X0,complement(composition(converse(sK0),sK0)))),
inference(forward_demodulation,[],[f9741,f37]) ).
fof(f14469,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(complement(zero)))),
inference(superposition,[],[f916,f2540]) ).
fof(f14490,plain,
! [X0] : join(X0,complement(converse(complement(zero)))) = X0,
inference(superposition,[],[f581,f2540]) ).
fof(f14526,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f14469,f14490]) ).
fof(f22935,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f91,f14526]) ).
fof(f22946,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f22935,f29]) ).
fof(f23103,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(join(X0,converse(complement(converse(complement(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f1454,f22946]) ).
fof(f23121,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,converse(complement(converse(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f23103,f35]) ).
fof(f23156,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(join(X0,converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f23121,f650]) ).
fof(f23177,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f23156,f916]) ).
fof(f23184,plain,
! [X0] : complement(converse(complement(converse(X0)))) = X0,
inference(forward_demodulation,[],[f23177,f14526]) ).
fof(f23199,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f23184,f29]) ).
fof(f35325,plain,
complement(zero) = composition(complement(zero),complement(zero)),
inference(superposition,[],[f1860,f9748]) ).
fof(f37283,plain,
complement(converse(complement(zero))) = join(complement(converse(complement(zero))),composition(complement(zero),complement(converse(complement(zero))))),
inference(superposition,[],[f225,f35325]) ).
fof(f37314,plain,
complement(converse(complement(zero))) = composition(join(converse(one),complement(zero)),complement(converse(complement(zero)))),
inference(forward_demodulation,[],[f37283,f254]) ).
fof(f37336,plain,
complement(converse(complement(zero))) = composition(join(complement(zero),converse(one)),complement(converse(complement(zero)))),
inference(forward_demodulation,[],[f37314,f2353]) ).
fof(f37355,plain,
converse(zero) = composition(join(complement(zero),converse(one)),converse(zero)),
inference(forward_demodulation,[],[f37336,f23199]) ).
fof(f37369,plain,
zero = composition(join(complement(zero),converse(one)),zero),
inference(forward_demodulation,[],[f37355,f2400]) ).
fof(f37382,plain,
zero = composition(complement(zero),zero),
inference(forward_demodulation,[],[f37369,f1860]) ).
fof(f37430,plain,
! [X0] : join(zero,composition(X0,zero)) = composition(join(complement(zero),X0),zero),
inference(superposition,[],[f30,f37382]) ).
fof(f37472,plain,
! [X0] : composition(complement(zero),zero) = join(zero,composition(X0,zero)),
inference(forward_demodulation,[],[f37430,f1860]) ).
fof(f37491,plain,
! [X0] : composition(X0,zero) = composition(complement(zero),zero),
inference(forward_demodulation,[],[f37472,f544]) ).
fof(f37502,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f37491,f37382]) ).
fof(f42782,plain,
! [X0] : composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(converse(X0))),X0)))),complement(complement(zero))) = join(complement(join(complement(composition(sK0,converse(X0))),complement(composition(sK0,complement(converse(X0)))))),composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(converse(X0))),X0)))),complement(complement(zero)))),
inference(superposition,[],[f9084,f9498]) ).
fof(f42860,plain,
! [X0] : composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(converse(X0))),X0)))),zero) = join(complement(join(complement(composition(sK0,converse(X0))),complement(composition(sK0,complement(converse(X0)))))),composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(converse(X0))),X0)))),zero)),
inference(forward_demodulation,[],[f42782,f561]) ).
fof(f43024,plain,
! [X0] : zero = join(complement(join(complement(composition(sK0,converse(X0))),complement(composition(sK0,complement(converse(X0)))))),zero),
inference(forward_demodulation,[],[f42860,f37502]) ).
fof(f43148,plain,
! [X0] : zero = join(zero,complement(join(complement(composition(sK0,converse(X0))),complement(composition(sK0,complement(converse(X0))))))),
inference(forward_demodulation,[],[f43024,f35]) ).
fof(f43253,plain,
! [X0] : zero = complement(join(complement(composition(sK0,converse(X0))),complement(composition(sK0,complement(converse(X0)))))),
inference(forward_demodulation,[],[f43148,f544]) ).
fof(f43883,plain,
! [X0] : zero = complement(join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0))))),
inference(superposition,[],[f43253,f29]) ).
fof(f44511,plain,
zero != zero,
inference(superposition,[],[f38,f43883]) ).
fof(f44661,plain,
$false,
inference(trivial_inequality_removal,[],[f44511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL041+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:01:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.40/2.39 % (3087653)Detected formulas, will run a generic FOF schedule.
% 10.40/2.39 % (3087663)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=671750801:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.40/2.39 % (3087660)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=2705139362:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.40/2.39 % (3087661)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1695873901:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.40/2.39 % (3087658)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=380793342:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.40/2.39 % (3087659)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=1061478562:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.40/2.39 % (3087662)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3134215708:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.40/2.39 % (3087664)dis-21_1_sil=8000:lcm=predicate:random_seed=1821036183: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)
% 10.40/2.39 % (3087664)Refutation not found, incomplete strategy
% 10.40/2.39 % (3087664)------------------------------
% 10.40/2.39 % (3087664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.39 % (3087664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.39 % (3087664)CaDiCaL version: 2.1.3
% 10.40/2.39 % (3087664)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.39 % (3087664)Time elapsed: 0.002 s
% 10.40/2.39 % (3087664)Peak memory usage: 88 MB
% 10.40/2.39 % (3087664)Instructions burned: 1 (million)
% 10.40/2.39 % (3087663)Instruction limit reached!
% 10.40/2.39 % (3087663)------------------------------
% 10.40/2.39 % (3087663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.39 % (3087663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.39 % (3087663)CaDiCaL version: 2.1.3
% 10.40/2.39 % (3087663)Termination reason: Instruction limit
% 10.40/2.39 % (3087663)Termination phase: Saturation
% 10.40/2.39 % (3087663)Time elapsed: 0.045 s
% 10.40/2.39 % (3087663)Peak memory usage: 89 MB
% 10.40/2.39 % (3087663)Instructions burned: 141 (million)
% 10.40/2.39 % (3087662)Instruction limit reached!
% 10.40/2.39 % (3087662)------------------------------
% 10.40/2.39 % (3087662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.39 % (3087662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.39 % (3087662)CaDiCaL version: 2.1.3
% 10.40/2.39 % (3087662)Termination reason: Instruction limit
% 10.40/2.39 % (3087662)Termination phase: Saturation
% 10.40/2.39 % (3087662)Time elapsed: 0.043 s
% 10.40/2.39 % (3087662)Peak memory usage: 89 MB
% 10.40/2.39 % (3087662)Instructions burned: 122 (million)
% 10.40/2.39 % (3087661)Instruction limit reached!
% 10.40/2.39 % (3087661)------------------------------
% 10.40/2.39 % (3087661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.39 % (3087661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.39 % (3087661)CaDiCaL version: 2.1.3
% 10.40/2.39 % (3087661)Termination reason: Instruction limit
% 10.40/2.39 % (3087661)Termination phase: Saturation
% 10.40/2.39 % (3087661)Time elapsed: 0.067 s
% 10.40/2.39 % (3087661)Peak memory usage: 89 MB
% 10.40/2.39 % (3087661)Instructions burned: 109 (million)
% 10.40/2.39 % (3087673)lrs+10_1_sil=32000:urr=on:br=off:random_seed=459818358:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 10.40/2.39 % (3087672)lrs+10_1_sil=8000:sp=occurrence:random_seed=3865264860:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.40/2.39 % (3087673)Instruction limit reached!
% 10.40/2.39 % (3087673)------------------------------
% 10.40/2.39 % (3087673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.39 % (3087673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.39 % (3087673)CaDiCaL version: 2.1.3
% 10.40/2.39 % (3087673)Termination reason: Instruction limit
% 10.40/2.39 % (3087673)Termination phase: Saturation
% 18.24/3.43 % (3087673)Time elapsed: 0.054 s
% 18.24/3.43 % (3087673)Peak memory usage: 90 MB
% 18.24/3.43 % (3087673)Instructions burned: 158 (million)
% 18.24/3.43 % (3087674)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3952924977:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.24/3.43 % (3087664)------------------------------
% 18.24/3.43 % (3087664)------------------------------
% 18.24/3.43 % (3087677)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=1667908439:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.24/3.43 % (3087672)Instruction limit reached!
% 18.24/3.43 % (3087672)------------------------------
% 18.24/3.43 % (3087672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.43 % (3087672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.43 % (3087672)CaDiCaL version: 2.1.3
% 18.24/3.43 % (3087672)Termination reason: Instruction limit
% 18.24/3.43 % (3087672)Termination phase: Saturation
% 18.24/3.43 % (3087672)Time elapsed: 0.177 s
% 18.24/3.43 % (3087672)Peak memory usage: 92 MB
% 18.24/3.43 % (3087672)Instructions burned: 287 (million)
% 18.24/3.43 % (3087677)Instruction limit reached!
% 18.24/3.43 % (3087677)------------------------------
% 18.24/3.43 % (3087677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.43 % (3087677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.43 % (3087677)CaDiCaL version: 2.1.3
% 18.24/3.43 % (3087677)Termination reason: Instruction limit
% 18.24/3.43 % (3087677)Termination phase: Saturation
% 18.24/3.43 % (3087677)Time elapsed: 0.086 s
% 18.24/3.43 % (3087677)Peak memory usage: 92 MB
% 18.24/3.43 % (3087677)Instructions burned: 251 (million)
% 18.24/3.43 % (3087674)Instruction limit reached!
% 18.24/3.43 % (3087674)------------------------------
% 18.24/3.43 % (3087674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.43 % (3087674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.43 % (3087674)CaDiCaL version: 2.1.3
% 18.24/3.43 % (3087674)Termination reason: Instruction limit
% 18.24/3.43 % (3087674)Termination phase: Saturation
% 18.24/3.43 % (3087674)Time elapsed: 0.197 s
% 18.24/3.43 % (3087674)Peak memory usage: 91 MB
% 18.24/3.43 % (3087674)Instructions burned: 325 (million)
% 18.24/3.43 % (3087679)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=207105255:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.24/3.43 % (3087681)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2216359069:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.24/3.43 % (3087682)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=496059682:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.24/3.43 % (3087682)Instruction limit reached!
% 18.24/3.43 % (3087682)------------------------------
% 18.24/3.43 % (3087682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.43 % (3087682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.43 % (3087682)CaDiCaL version: 2.1.3
% 18.24/3.43 % (3087682)Termination reason: Instruction limit
% 18.24/3.43 % (3087682)Termination phase: Saturation
% 18.24/3.43 % (3087682)Time elapsed: 0.035 s
% 18.24/3.43 % (3087682)Peak memory usage: 89 MB
% 18.24/3.43 % (3087682)Instructions burned: 115 (million)
% 18.24/3.43 % (3087684)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=19402224:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.24/3.43 % (3087684)Refutation not found, incomplete strategy
% 18.24/3.43 % (3087684)------------------------------
% 18.24/3.43 % (3087684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.43 % (3087684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.43 % (3087684)CaDiCaL version: 2.1.3
% 18.24/3.43 % (3087684)Termination reason: Refutation not found, incomplete strategy
% 18.24/3.43 % (3087684)Time elapsed: 0.001 s
% 18.24/3.43 % (3087684)Peak memory usage: 88 MB
% 18.24/3.43 % (3087684)Instructions burned: 1 (million)
% 18.24/3.43 % (3087679)Instruction limit reached!
% 18.24/3.43 % (3087679)------------------------------
% 18.24/3.43 % (3087679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.24/3.43 % (3087679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/3.43 % (3087679)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087679)Termination reason: Instruction limit
% 23.62/4.19 % (3087679)Termination phase: Saturation
% 23.62/4.19 % (3087679)Time elapsed: 0.174 s
% 23.62/4.19 % (3087679)Peak memory usage: 90 MB
% 23.62/4.19 % (3087679)Instructions burned: 294 (million)
% 23.62/4.19 % (3087687)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3628238394:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 23.62/4.19 % (3087687)Instruction limit reached!
% 23.62/4.19 % (3087687)------------------------------
% 23.62/4.19 % (3087687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087687)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087687)Termination reason: Instruction limit
% 23.62/4.19 % (3087687)Termination phase: Saturation
% 23.62/4.19 % (3087687)Time elapsed: 0.036 s
% 23.62/4.19 % (3087687)Peak memory usage: 89 MB
% 23.62/4.19 % (3087687)Instructions burned: 117 (million)
% 23.62/4.19 % (3087689)lrs+10_1_sil=8000:sp=occurrence:random_seed=4219926272:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 23.62/4.19 % (3087691)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1820440342:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 23.62/4.19 % (3087684)------------------------------
% 23.62/4.19 % (3087684)------------------------------
% 23.62/4.19 % (3087691)Instruction limit reached!
% 23.62/4.19 % (3087691)------------------------------
% 23.62/4.19 % (3087691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087691)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087691)Termination reason: Instruction limit
% 23.62/4.19 % (3087691)Termination phase: Saturation
% 23.62/4.19 % (3087691)Time elapsed: 0.120 s
% 23.62/4.19 % (3087691)Peak memory usage: 90 MB
% 23.62/4.19 % (3087691)Instructions burned: 438 (million)
% 23.62/4.19 % (3087694)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=192520869:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 23.62/4.19 % (3087695)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4184317274:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 23.62/4.19 % (3087695)Refutation not found, incomplete strategy
% 23.62/4.19 % (3087695)------------------------------
% 23.62/4.19 % (3087695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087695)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087695)Termination reason: Refutation not found, incomplete strategy
% 23.62/4.19 % (3087695)Time elapsed: 0.001 s
% 23.62/4.19 % (3087695)Peak memory usage: 89 MB
% 23.62/4.19 % (3087695)Instructions burned: 2 (million)
% 23.62/4.19 % (3087695)------------------------------
% 23.62/4.19 % (3087695)------------------------------
% 23.62/4.19 % (3087698)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1837685024:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 23.62/4.19 % (3087689)Instruction limit reached!
% 23.62/4.19 % (3087689)------------------------------
% 23.62/4.19 % (3087689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087689)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087689)Termination reason: Instruction limit
% 23.62/4.19 % (3087689)Termination phase: Saturation
% 23.62/4.19 % (3087689)Time elapsed: 0.539 s
% 23.62/4.19 % (3087689)Peak memory usage: 98 MB
% 23.62/4.19 % (3087689)Instructions burned: 908 (million)
% 23.62/4.19 % (3087698)Instruction limit reached!
% 23.62/4.19 % (3087698)------------------------------
% 23.62/4.19 % (3087698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087698)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087698)Termination reason: Instruction limit
% 23.62/4.19 % (3087698)Termination phase: Saturation
% 23.62/4.19 % (3087698)Time elapsed: 0.182 s
% 23.62/4.19 % (3087698)Peak memory usage: 94 MB
% 23.62/4.19 % (3087698)Instructions burned: 592 (million)
% 23.62/4.19 % (3087700)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4054444524:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 23.62/4.19 % (3087701)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1947706153:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 23.62/4.19 % (3087701)Instruction limit reached!
% 23.62/4.19 % (3087701)------------------------------
% 23.62/4.19 % (3087701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087701)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087701)Termination reason: Instruction limit
% 23.62/4.19 % (3087701)Termination phase: Saturation
% 23.62/4.19 % (3087701)Time elapsed: 0.045 s
% 23.62/4.19 % (3087701)Peak memory usage: 91 MB
% 23.62/4.19 % (3087701)Instructions burned: 128 (million)
% 23.62/4.19 % (3087704)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3188162804:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 23.62/4.19 % (3087704)Instruction limit reached!
% 23.62/4.19 % (3087704)------------------------------
% 23.62/4.19 % (3087704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087704)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087704)Termination reason: Instruction limit
% 23.62/4.19 % (3087704)Termination phase: Saturation
% 23.62/4.19 % (3087704)Time elapsed: 0.044 s
% 23.62/4.19 % (3087704)Peak memory usage: 90 MB
% 23.62/4.19 % (3087704)Instructions burned: 136 (million)
% 23.62/4.19 % (3087706)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2069792421:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 23.62/4.19 % (3087706)Refutation not found, incomplete strategy
% 23.62/4.19 % (3087706)------------------------------
% 23.62/4.19 % (3087706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087706)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087706)Termination reason: Refutation not found, incomplete strategy
% 23.62/4.19 % (3087706)Time elapsed: 0.001 s
% 23.62/4.19 % (3087706)Peak memory usage: 88 MB
% 23.62/4.19 % (3087706)Instructions burned: 1 (million)
% 23.62/4.19 % (3087706)------------------------------
% 23.62/4.19 % (3087706)------------------------------
% 23.62/4.19 % (3087681)Instruction limit reached!
% 23.62/4.19 % (3087681)------------------------------
% 23.62/4.19 % (3087681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087681)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087681)Termination reason: Instruction limit
% 23.62/4.19 % (3087681)Termination phase: Saturation
% 23.62/4.19 % (3087681)Time elapsed: 1.475 s
% 23.62/4.19 % (3087681)Peak memory usage: 141 MB
% 23.62/4.19 % (3087681)Instructions burned: 2352 (million)
% 23.62/4.19 % (3087708)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4131811293:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 23.62/4.19 % (3087708)Refutation not found, incomplete strategy
% 23.62/4.19 % (3087708)------------------------------
% 23.62/4.19 % (3087708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087708)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087708)Termination reason: Refutation not found, incomplete strategy
% 23.62/4.19 % (3087708)Time elapsed: 0.001 s
% 23.62/4.19 % (3087708)Peak memory usage: 88 MB
% 23.62/4.19 % (3087708)Instructions burned: 1 (million)
% 23.62/4.19 % (3087709)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3082131759:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 23.62/4.19 % (3087708)------------------------------
% 23.62/4.19 % (3087708)------------------------------
% 23.62/4.19 % (3087712)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1843353709:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 23.62/4.19 % (3087712)Instruction limit reached!
% 23.62/4.19 % (3087712)------------------------------
% 23.62/4.19 % (3087712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.19 % (3087712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.19 % (3087712)CaDiCaL version: 2.1.3
% 23.62/4.19 % (3087712)Termination reason: Instruction limit
% 23.62/4.19 % (3087712)Termination phase: Saturation
% 23.62/4.19 % (3087712)Time elapsed: 0.090 s
% 23.62/4.19 % (3087712)Peak memory usage: 90 MB
% 23.62/4.19 % (3087712)Instructions burned: 150 (million)
% 23.62/4.19 % (3087714)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2353381904:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 23.62/4.19 % (3087700)First to succeed.
% 23.62/4.19 % (3087700)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3087653"
% 23.62/4.19 % (3087700)Refutation found. Thanks to Tanya!
% 23.62/4.19 % SZS status Theorem for theBenchmark
% 23.62/4.19 % SZS output start Proof for theBenchmark
% See solution above
% 24.13/4.34 % (3087700)------------------------------
% 24.13/4.34 % (3087700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.13/4.34 % (3087700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.13/4.34 % (3087700)CaDiCaL version: 2.1.3
% 24.13/4.34 % (3087700)Termination reason: Refutation
% 24.13/4.34 % (3087700)Time elapsed: 1.622 s
% 24.13/4.34 % (3087700)Peak memory usage: 155 MB
% 24.13/4.34 % (3087700)Instructions burned: 4035 (million)
% 24.13/4.34 % (3087700)------------------------------
% 24.13/4.34 % (3087700)------------------------------
% 24.13/4.34 % (3087653)Success in time 3.336 s
% 24.13/4.34 % Vampire exiting
%------------------------------------------------------------------------------