%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL007+1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:14 PM UTC 2026
% Result : Theorem 59.12s 8.89s
% Output : Refutation 59.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 21
% Syntax : Number of formulae : 335 ( 331 unt; 10 def)
% Number of atoms : 339 ( 338 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 455 ( 453 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',composition_associativity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f11,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) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( meet(X0,converse(X1)) = zero
=> meet(converse(X0),X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( meet(X0,converse(X1)) = zero
=> meet(converse(X0),X1) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( zero != meet(converse(X0),X1)
& meet(X0,converse(X1)) = zero ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( zero != meet(converse(sK0),sK1)
& zero = meet(sK0,converse(sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
zero = meet(sK0,converse(sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
zero != meet(converse(sK0),sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
zero != complement(join(complement(converse(sK0)),complement(sK1))),
inference(definition_unfolding,[],[f32,f21]) ).
fof(f35,plain,
zero = complement(join(complement(sK0),complement(converse(sK1)))),
inference(definition_unfolding,[],[f31,f21]) ).
fof(f36,definition,
sF2 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
converse(sK0) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
complement(sK1) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
zero != sF6,
inference(definition_folding,[],[f34,f45,f43,f41,f39,f37]) ).
fof(f47,definition,
sF7 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
complement(sK0) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = converse(sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
converse(sK1) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF10 = join(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f54,plain,
join(sF7,sF9) = sF10,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f56,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
zero = sF11,
inference(definition_folding,[],[f35,f56,f54,f52,f50,f48]) ).
fof(f58,plain,
zero = complement(sF10),
inference(forward_demodulation,[],[f56,f57]) ).
fof(f60,plain,
sK1 = converse(sF8),
inference(superposition,[],[f25,f50]) ).
fof(f65,plain,
top = join(sF2,sF3),
inference(superposition,[],[f29,f39]) ).
fof(f68,plain,
top = join(sF10,zero),
inference(superposition,[],[f29,f58]) ).
fof(f69,plain,
top = join(zero,sF10),
inference(forward_demodulation,[],[f68,f18]) ).
fof(f77,plain,
zero = complement(top),
inference(superposition,[],[f33,f29]) ).
fof(f92,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f93,plain,
! [X0] : converse(join(sK0,X0)) = join(sF2,converse(X0)),
inference(superposition,[],[f26,f37]) ).
fof(f97,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f120,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f122,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f19,f18]) ).
fof(f124,plain,
! [X2,X0,X1] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[],[f19,f26]) ).
fof(f125,plain,
! [X0] : join(zero,join(sF10,X0)) = join(top,X0),
inference(superposition,[],[f19,f69]) ).
fof(f128,plain,
! [X0] : join(sF3,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f19,f43]) ).
fof(f133,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f29,f19]) ).
fof(f135,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f140,plain,
! [X0] : join(top,X0) = join(zero,join(X0,sF10)),
inference(superposition,[],[f125,f18]) ).
fof(f207,plain,
! [X2,X0,X1] : complement(X2) = join(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,X2)))),complement(X2)),
inference(superposition,[],[f28,f22]) ).
fof(f230,plain,
! [X2,X0,X1] : complement(X2) = join(complement(X2),composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,X2))))),
inference(forward_demodulation,[],[f207,f18]) ).
fof(f254,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),sF10))) = X0,
inference(superposition,[],[f20,f58]) ).
fof(f259,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f20,f33]) ).
fof(f261,plain,
! [X0] : top = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f20,f77]) ).
fof(f262,plain,
! [X0] : sK0 = join(complement(join(sF7,complement(X0))),complement(join(sF7,X0))),
inference(superposition,[],[f20,f48]) ).
fof(f267,plain,
! [X0] : sF10 = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f20,f58]) ).
fof(f268,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1))))),complement(X0)),
inference(superposition,[],[f20,f20]) ).
fof(f271,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f272,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f20,f33]) ).
fof(f275,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f277,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f18,f20]) ).
fof(f278,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f275,f135]) ).
fof(f279,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f272,f18]) ).
fof(f280,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f271,f18]) ).
fof(f283,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f268,f18]) ).
fof(f284,plain,
! [X0] : sF10 = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f267,f18]) ).
fof(f289,plain,
! [X0] : sK0 = join(complement(join(sF7,X0)),complement(join(sF7,complement(X0)))),
inference(forward_demodulation,[],[f262,f18]) ).
fof(f290,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f261,f18]) ).
fof(f296,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(sF10,complement(X0)))) = X0,
inference(forward_demodulation,[],[f254,f18]) ).
fof(f305,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(complement(join(complement(X0),X1))),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f283,f18]) ).
fof(f306,plain,
top = sF10,
inference(forward_demodulation,[],[f290,f284]) ).
fof(f309,plain,
! [X0] : join(complement(join(sF10,complement(X0))),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f296,f18]) ).
fof(f318,plain,
! [X0] : join(complement(join(sF10,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f309,f18]) ).
fof(f326,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(sF10,complement(X0)))) = X0,
inference(forward_demodulation,[],[f318,f18]) ).
fof(f350,plain,
! [X0] : sF10 = join(complement(join(X0,zero)),complement(join(zero,complement(X0)))),
inference(superposition,[],[f284,f18]) ).
fof(f360,plain,
! [X0] : join(zero,X0) = join(complement(sF10),complement(join(complement(join(zero,X0)),join(zero,complement(X0))))),
inference(superposition,[],[f20,f284]) ).
fof(f364,plain,
! [X0] : join(zero,X0) = join(complement(sF10),complement(join(complement(X0),join(complement(join(zero,X0)),zero)))),
inference(forward_demodulation,[],[f360,f135]) ).
fof(f375,plain,
! [X0] : join(zero,X0) = join(complement(sF10),complement(join(zero,join(complement(X0),complement(join(zero,X0)))))),
inference(forward_demodulation,[],[f364,f135]) ).
fof(f381,plain,
! [X0] : join(zero,X0) = join(zero,complement(join(zero,join(complement(X0),complement(join(zero,X0)))))),
inference(forward_demodulation,[],[f375,f58]) ).
fof(f408,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(zero,complement(X0))),join(complement(join(sF10,complement(X0))),X1)),
inference(superposition,[],[f19,f326]) ).
fof(f444,plain,
! [X0] : join(top,X0) = join(sF2,join(sF3,X0)),
inference(superposition,[],[f19,f65]) ).
fof(f445,plain,
! [X0] : join(sF10,X0) = join(sF2,join(sF3,X0)),
inference(forward_demodulation,[],[f444,f306]) ).
fof(f446,plain,
join(sF10,sF4) = join(sF2,sF5),
inference(superposition,[],[f445,f43]) ).
fof(f455,plain,
join(sF4,sF10) = join(sF2,sF5),
inference(forward_demodulation,[],[f446,f18]) ).
fof(f754,plain,
! [X0] : join(sF5,X0) = join(sF3,join(X0,sF4)),
inference(superposition,[],[f128,f18]) ).
fof(f839,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f92,f29]) ).
fof(f859,plain,
! [X0] : converse(sF10) = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f839,f306]) ).
fof(f1318,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f120,f20]) ).
fof(f1319,plain,
! [X0] : join(top,complement(join(zero,complement(X0)))) = join(join(zero,X0),sF10),
inference(superposition,[],[f120,f284]) ).
fof(f1320,plain,
! [X0] : join(top,complement(join(sF10,complement(X0)))) = join(join(zero,complement(X0)),X0),
inference(superposition,[],[f120,f326]) ).
fof(f1322,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f120,f18]) ).
fof(f1325,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f120,f29]) ).
fof(f1372,plain,
! [X0] : join(X0,sF10) = join(sF10,complement(complement(X0))),
inference(forward_demodulation,[],[f1325,f306]) ).
fof(f1375,plain,
! [X0,X1] : join(sF10,X0) = join(X1,join(X0,complement(X1))),
inference(forward_demodulation,[],[f1322,f306]) ).
fof(f1377,plain,
! [X0] : join(top,complement(join(sF10,complement(X0)))) = join(X0,join(zero,complement(X0))),
inference(forward_demodulation,[],[f1320,f18]) ).
fof(f1378,plain,
! [X0] : join(sF10,join(zero,X0)) = join(top,complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f1319,f18]) ).
fof(f1379,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f1318,f18]) ).
fof(f1393,plain,
! [X0] : join(sF10,zero) = join(top,complement(join(sF10,complement(X0)))),
inference(forward_demodulation,[],[f1377,f1375]) ).
fof(f1394,plain,
! [X0] : join(sF10,join(zero,X0)) = join(sF10,complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f1378,f306]) ).
fof(f1395,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f1379,f120]) ).
fof(f1402,plain,
! [X0] : join(sF10,zero) = join(sF10,complement(join(sF10,complement(X0)))),
inference(forward_demodulation,[],[f1393,f306]) ).
fof(f1403,plain,
! [X0] : join(zero,join(X0,sF10)) = join(sF10,complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f1394,f135]) ).
fof(f1404,plain,
! [X0,X1] : join(sF10,complement(join(complement(X0),X1))) = join(sF10,complement(X1)),
inference(forward_demodulation,[],[f1395,f306]) ).
fof(f1407,plain,
! [X0] : join(zero,sF10) = join(sF10,complement(join(sF10,complement(X0)))),
inference(forward_demodulation,[],[f1402,f18]) ).
fof(f1408,plain,
! [X0] : join(top,X0) = join(sF10,complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f1403,f140]) ).
fof(f1409,plain,
! [X0] : top = join(sF10,complement(join(sF10,complement(X0)))),
inference(forward_demodulation,[],[f1407,f69]) ).
fof(f1410,plain,
! [X0] : join(sF10,X0) = join(sF10,complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f1408,f306]) ).
fof(f1411,plain,
! [X0] : sF10 = join(sF10,complement(join(sF10,complement(X0)))),
inference(forward_demodulation,[],[f1409,f306]) ).
fof(f1417,plain,
! [X0,X1] : top = join(X1,join(join(complement(X1),X0),complement(join(top,X0)))),
inference(superposition,[],[f133,f120]) ).
fof(f1481,plain,
! [X0,X1] : join(X0,top) = join(top,join(X1,complement(join(complement(X0),X1)))),
inference(superposition,[],[f120,f133]) ).
fof(f1519,plain,
! [X0,X1] : join(X0,sF10) = join(sF10,join(X1,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f1481,f306]) ).
fof(f1582,plain,
! [X0,X1] : top = join(X1,join(complement(join(top,X0)),join(complement(X1),X0))),
inference(forward_demodulation,[],[f1417,f18]) ).
fof(f1626,plain,
! [X0,X1] : top = join(X1,join(X0,join(complement(join(top,X0)),complement(X1)))),
inference(forward_demodulation,[],[f1582,f135]) ).
fof(f1648,plain,
! [X0,X1] : sF10 = join(X1,join(X0,join(complement(join(sF10,X0)),complement(X1)))),
inference(forward_demodulation,[],[f1626,f306]) ).
fof(f1665,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(sF10,complement(join(complement(X0),complement(X0)))))),
inference(superposition,[],[f326,f259]) ).
fof(f1672,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(sF10,complement(complement(X0))))),
inference(forward_demodulation,[],[f1665,f1404]) ).
fof(f1675,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X0,sF10))),
inference(forward_demodulation,[],[f1672,f1372]) ).
fof(f1691,plain,
! [X2,X3,X0,X1] : join(join(X0,join(X1,X2)),X3) = join(X2,join(join(X0,X1),X3)),
inference(superposition,[],[f122,f19]) ).
fof(f1817,plain,
! [X2,X3,X0,X1] : join(join(X0,join(X1,X2)),X3) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f1691,f19]) ).
fof(f1853,plain,
! [X2,X3,X0,X1] : join(X0,join(join(X1,X2),X3)) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f1817,f19]) ).
fof(f1866,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,join(X2,X3))) = join(X2,join(X0,join(X1,X3))),
inference(forward_demodulation,[],[f1853,f19]) ).
fof(f2037,plain,
! [X0,X1] : sF10 = join(complement(join(X0,join(zero,X1))),complement(join(zero,complement(join(X1,X0))))),
inference(superposition,[],[f284,f135]) ).
fof(f2778,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(sF10,complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(superposition,[],[f326,f279]) ).
fof(f2790,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(sF10,complement(complement(complement(complement(X0))))))),
inference(forward_demodulation,[],[f2778,f1404]) ).
fof(f2794,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(X0)),sF10))),
inference(forward_demodulation,[],[f2790,f1372]) ).
fof(f2795,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(sF10,complement(complement(X0))))),
inference(forward_demodulation,[],[f2794,f18]) ).
fof(f2796,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(X0,sF10))),
inference(forward_demodulation,[],[f2795,f1372]) ).
fof(f2797,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2796,f1675]) ).
fof(f3130,plain,
! [X0] : sF10 = join(sF10,complement(join(X0,sF10))),
inference(superposition,[],[f1411,f1372]) ).
fof(f3263,plain,
! [X0] : top = join(X0,sF10),
inference(superposition,[],[f133,f3130]) ).
fof(f3272,plain,
! [X0] : sF10 = join(X0,sF10),
inference(forward_demodulation,[],[f3263,f306]) ).
fof(f3299,plain,
sK0 = join(complement(join(sF7,sF8)),complement(join(sF7,sF9))),
inference(superposition,[],[f289,f52]) ).
fof(f3320,plain,
sK0 = join(complement(join(sF7,sF8)),complement(sF10)),
inference(forward_demodulation,[],[f3299,f54]) ).
fof(f3339,plain,
sK0 = join(complement(sF10),complement(join(sF7,sF8))),
inference(forward_demodulation,[],[f3320,f18]) ).
fof(f3350,plain,
sK0 = join(zero,complement(join(sF7,sF8))),
inference(forward_demodulation,[],[f3339,f58]) ).
fof(f3382,plain,
! [X0] : sF10 = join(sF10,X0),
inference(superposition,[],[f18,f3272]) ).
fof(f3384,plain,
! [X0,X1] : join(sF10,join(X0,X1)) = join(sF10,X1),
inference(superposition,[],[f122,f3272]) ).
fof(f3391,plain,
! [X0] : join(complement(join(complement(X0),complement(sF10))),complement(sF10)) = X0,
inference(superposition,[],[f20,f3272]) ).
fof(f3399,plain,
sF10 = join(sF2,sF5),
inference(superposition,[],[f455,f3272]) ).
fof(f3426,plain,
! [X0] : join(complement(sF10),complement(join(complement(X0),complement(sF10)))) = X0,
inference(forward_demodulation,[],[f3391,f18]) ).
fof(f3444,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f3426,f58]) ).
fof(f3450,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f3444,f18]) ).
fof(f3528,plain,
sF10 = converse(sF10),
inference(superposition,[],[f859,f3382]) ).
fof(f4341,plain,
! [X2,X0,X1] : join(converse(join(X1,X2)),join(complement(converse(X2)),X0)) = join(converse(X1),join(top,X0)),
inference(superposition,[],[f124,f120]) ).
fof(f4392,plain,
! [X2,X0,X1] : join(converse(join(X1,X2)),join(complement(converse(X2)),X0)) = join(top,join(X0,converse(X1))),
inference(forward_demodulation,[],[f4341,f135]) ).
fof(f4437,plain,
! [X2,X0,X1] : join(converse(join(X1,X2)),join(complement(converse(X2)),X0)) = join(sF10,join(X0,converse(X1))),
inference(forward_demodulation,[],[f4392,f306]) ).
fof(f4467,plain,
! [X2,X0,X1] : join(converse(join(X1,X2)),join(complement(converse(X2)),X0)) = join(sF10,converse(X1)),
inference(forward_demodulation,[],[f4437,f3384]) ).
fof(f4491,plain,
! [X2,X0,X1] : sF10 = join(converse(join(X1,X2)),join(complement(converse(X2)),X0)),
inference(forward_demodulation,[],[f4467,f3382]) ).
fof(f4506,plain,
! [X2,X0,X1] : sF10 = join(complement(converse(X2)),join(X0,converse(join(X1,X2)))),
inference(forward_demodulation,[],[f4491,f135]) ).
fof(f4681,plain,
join(sF7,sF8) = join(complement(sK0),complement(join(sF10,complement(join(sF7,sF8))))),
inference(superposition,[],[f326,f3350]) ).
fof(f4694,plain,
join(sF7,sF8) = join(complement(sK0),complement(sF10)),
inference(forward_demodulation,[],[f4681,f3382]) ).
fof(f4697,plain,
join(sF7,sF8) = join(complement(sK0),zero),
inference(forward_demodulation,[],[f4694,f58]) ).
fof(f4698,plain,
join(zero,complement(sK0)) = join(sF7,sF8),
inference(forward_demodulation,[],[f4697,f18]) ).
fof(f4699,plain,
join(zero,sF7) = join(sF7,sF8),
inference(forward_demodulation,[],[f4698,f48]) ).
fof(f4996,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f120,f280]) ).
fof(f5007,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f4996,f18]) ).
fof(f5071,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(sF10,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f5007,f306]) ).
fof(f5122,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(sF10,complement(complement(X1))),
inference(forward_demodulation,[],[f5071,f1404]) ).
fof(f5144,plain,
! [X0,X1] : join(X1,sF10) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f5122,f1372]) ).
fof(f5159,plain,
! [X0,X1] : sF10 = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f5144,f3272]) ).
fof(f5530,plain,
! [X0] : sF10 = join(complement(sF10),complement(join(zero,complement(join(X0,complement(zero)))))),
inference(superposition,[],[f284,f5159]) ).
fof(f5564,plain,
! [X0] : sF10 = join(zero,complement(join(zero,complement(join(X0,complement(zero)))))),
inference(forward_demodulation,[],[f5530,f58]) ).
fof(f5622,plain,
! [X0] : sF10 = join(X0,complement(zero)),
inference(forward_demodulation,[],[f5564,f3450]) ).
fof(f5882,plain,
sF10 = complement(zero),
inference(superposition,[],[f28,f5622]) ).
fof(f6830,plain,
! [X2,X0,X1] : join(X1,X2) = join(complement(join(top,X0)),join(X2,complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))))),
inference(superposition,[],[f278,f120]) ).
fof(f6888,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f278,f280]) ).
fof(f6904,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(superposition,[],[f120,f278]) ).
fof(f6915,plain,
! [X0,X1] : join(sF10,complement(join(complement(X0),complement(X1)))) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f6904,f306]) ).
fof(f6929,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f6888,f18]) ).
fof(f6972,plain,
! [X2,X0,X1] : join(X1,X2) = join(complement(join(sF10,X0)),join(X2,complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))))),
inference(forward_demodulation,[],[f6830,f306]) ).
fof(f6994,plain,
! [X0,X1] : join(sF10,complement(complement(X1))) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f6915,f1404]) ).
fof(f7040,plain,
! [X2,X0,X1] : join(X1,X2) = join(complement(sF10),join(X2,complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))))),
inference(forward_demodulation,[],[f6972,f3382]) ).
fof(f7050,plain,
! [X0,X1] : join(X1,sF10) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f6994,f1372]) ).
fof(f7084,plain,
! [X2,X0,X1] : join(X1,X2) = join(zero,join(X2,complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))))),
inference(forward_demodulation,[],[f7040,f58]) ).
fof(f7086,plain,
! [X0,X1] : sF10 = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f7050,f3272]) ).
fof(f7442,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(complement(complement(sF10)),complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))))),
inference(superposition,[],[f305,f284]) ).
fof(f7467,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(complement(join(top,X0))),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))))),
inference(superposition,[],[f305,f120]) ).
fof(f7468,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(complement(complement(top)),complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))))))),
inference(superposition,[],[f305,f133]) ).
fof(f7595,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))))))),
inference(forward_demodulation,[],[f7468,f77]) ).
fof(f7596,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(complement(join(sF10,X0))),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))))),
inference(forward_demodulation,[],[f7467,f306]) ).
fof(f7603,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(complement(zero),complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))))),
inference(forward_demodulation,[],[f7442,f58]) ).
fof(f7649,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(sF10,complement(join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))))))),
inference(forward_demodulation,[],[f7595,f5882]) ).
fof(f7650,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(complement(sF10)),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))))),
inference(forward_demodulation,[],[f7596,f3382]) ).
fof(f7652,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(sF10,complement(join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))))))),
inference(forward_demodulation,[],[f7603,f5882]) ).
fof(f7688,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(sF10,complement(complement(join(X1,complement(join(complement(X0),X1)))))))),
inference(forward_demodulation,[],[f7649,f1404]) ).
fof(f7689,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(complement(zero),complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))))),
inference(forward_demodulation,[],[f7650,f58]) ).
fof(f7691,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(sF10,complement(complement(complement(join(zero,complement(X0)))))))),
inference(forward_demodulation,[],[f7652,f1404]) ).
fof(f7710,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(join(X1,complement(join(complement(X0),X1))),sF10))),
inference(forward_demodulation,[],[f7688,f1372]) ).
fof(f7711,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(sF10,complement(join(complement(X1),complement(join(complement(complement(X1)),X0))))))),
inference(forward_demodulation,[],[f7689,f5882]) ).
fof(f7713,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(complement(join(zero,complement(X0))),sF10))),
inference(forward_demodulation,[],[f7691,f1372]) ).
fof(f7726,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(sF10,join(X1,complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f7710,f18]) ).
fof(f7727,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(sF10,complement(complement(join(complement(complement(X1)),X0)))))),
inference(forward_demodulation,[],[f7711,f1404]) ).
fof(f7729,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(sF10,complement(join(zero,complement(X0)))))),
inference(forward_demodulation,[],[f7713,f18]) ).
fof(f7739,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))) = join(complement(X0),complement(join(X0,sF10))),
inference(forward_demodulation,[],[f7726,f1519]) ).
fof(f7740,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(join(complement(complement(X1)),X0),sF10))),
inference(forward_demodulation,[],[f7727,f1372]) ).
fof(f7742,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(join(sF10,X0))),
inference(forward_demodulation,[],[f7729,f1410]) ).
fof(f7751,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X1,complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f7739,f1675]) ).
fof(f7752,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(sF10,join(complement(complement(X1)),X0)))),
inference(forward_demodulation,[],[f7740,f18]) ).
fof(f7754,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(join(zero,X0)),complement(sF10)),
inference(forward_demodulation,[],[f7742,f3382]) ).
fof(f7760,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(join(sF10,X0))),
inference(forward_demodulation,[],[f7752,f3384]) ).
fof(f7762,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(complement(sF10),complement(join(zero,X0))),
inference(forward_demodulation,[],[f7754,f18]) ).
fof(f7768,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),complement(sF10)),
inference(forward_demodulation,[],[f7760,f3382]) ).
fof(f7769,plain,
! [X0] : join(complement(join(zero,X0)),complement(complement(join(zero,complement(X0))))) = join(zero,complement(join(zero,X0))),
inference(forward_demodulation,[],[f7762,f58]) ).
fof(f7775,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(complement(X1)),X0))) = join(complement(X1),zero),
inference(forward_demodulation,[],[f7768,f58]) ).
fof(f7779,plain,
! [X0,X1] : join(zero,complement(X1)) = join(complement(X1),complement(join(complement(complement(X1)),X0))),
inference(forward_demodulation,[],[f7775,f18]) ).
fof(f10150,plain,
! [X0] : sF10 = join(X0,complement(complement(complement(X0)))),
inference(superposition,[],[f7086,f230]) ).
fof(f11846,plain,
! [X0] : complement(complement(X0)) = join(complement(sF10),complement(join(complement(complement(complement(X0))),complement(X0)))),
inference(superposition,[],[f280,f10150]) ).
fof(f11976,plain,
! [X0] : complement(complement(X0)) = join(complement(sF10),complement(join(complement(X0),complement(complement(complement(X0)))))),
inference(forward_demodulation,[],[f11846,f18]) ).
fof(f12025,plain,
! [X0] : complement(complement(X0)) = join(complement(sF10),complement(join(complement(X0),complement(X0)))),
inference(forward_demodulation,[],[f11976,f2797]) ).
fof(f12041,plain,
! [X0] : complement(complement(X0)) = join(zero,complement(join(complement(X0),complement(X0)))),
inference(forward_demodulation,[],[f12025,f58]) ).
fof(f12049,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f12041,f259]) ).
fof(f12234,plain,
sK0 = complement(sF7),
inference(superposition,[],[f12049,f48]) ).
fof(f12262,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(superposition,[],[f259,f12049]) ).
fof(f12282,plain,
! [X0] : complement(X0) = join(complement(join(zero,X0)),complement(join(sF10,X0))),
inference(superposition,[],[f326,f12049]) ).
fof(f12303,plain,
! [X0] : complement(X0) = join(complement(join(zero,X0)),complement(sF10)),
inference(forward_demodulation,[],[f12282,f3382]) ).
fof(f12325,plain,
! [X0] : complement(X0) = join(complement(sF10),complement(join(zero,X0))),
inference(forward_demodulation,[],[f12303,f18]) ).
fof(f12329,plain,
! [X0] : complement(X0) = join(zero,complement(join(zero,X0))),
inference(forward_demodulation,[],[f12325,f58]) ).
fof(f14696,plain,
! [X0] : join(zero,complement(X0)) = join(complement(sF10),complement(join(complement(join(zero,complement(X0))),complement(complement(join(X0,zero)))))),
inference(superposition,[],[f280,f350]) ).
fof(f14709,plain,
! [X0] : join(zero,complement(X0)) = join(complement(sF10),complement(join(complement(complement(join(X0,zero))),complement(join(zero,complement(X0)))))),
inference(forward_demodulation,[],[f14696,f18]) ).
fof(f14758,plain,
! [X0] : join(zero,complement(X0)) = join(complement(sF10),complement(join(join(X0,zero),complement(join(zero,complement(X0)))))),
inference(forward_demodulation,[],[f14709,f12049]) ).
fof(f14804,plain,
! [X0] : join(zero,complement(X0)) = join(complement(sF10),complement(join(X0,join(zero,complement(join(zero,complement(X0))))))),
inference(forward_demodulation,[],[f14758,f19]) ).
fof(f14837,plain,
! [X0] : join(zero,complement(X0)) = join(complement(sF10),complement(join(X0,X0))),
inference(forward_demodulation,[],[f14804,f3450]) ).
fof(f14863,plain,
! [X0] : join(zero,complement(X0)) = join(zero,complement(join(X0,X0))),
inference(forward_demodulation,[],[f14837,f58]) ).
fof(f14882,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f14863,f12262]) ).
fof(f14898,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f14882,f12049]) ).
fof(f14901,plain,
sF7 = join(zero,sF7),
inference(superposition,[],[f14882,f48]) ).
fof(f14951,plain,
! [X0,X1] : join(X0,zero) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f278,f14882]) ).
fof(f14962,plain,
! [X0,X1] : join(X1,complement(X0)) = join(zero,join(complement(X0),X1)),
inference(superposition,[],[f135,f14882]) ).
fof(f14972,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f14951,f277]) ).
fof(f19576,plain,
! [X0] : sF10 = join(complement(converse(sF8)),join(X0,converse(join(zero,sF7)))),
inference(superposition,[],[f4506,f4699]) ).
fof(f19747,plain,
! [X0] : sF10 = join(complement(converse(sF8)),join(X0,converse(sF7))),
inference(forward_demodulation,[],[f19576,f14901]) ).
fof(f19985,plain,
! [X0] : sF10 = join(converse(sF7),join(complement(converse(sF8)),X0)),
inference(forward_demodulation,[],[f19747,f135]) ).
fof(f20153,plain,
! [X0] : sF10 = join(converse(sF7),join(complement(sK1),X0)),
inference(forward_demodulation,[],[f19985,f60]) ).
fof(f20215,plain,
! [X0] : sF10 = join(complement(sK1),join(X0,converse(sF7))),
inference(forward_demodulation,[],[f20153,f135]) ).
fof(f20248,plain,
! [X0] : sF10 = join(sF4,join(X0,converse(sF7))),
inference(forward_demodulation,[],[f20215,f41]) ).
fof(f21705,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,join(complement(join(sF10,X1)),complement(complement(X0)))))) = join(complement(X0),complement(join(complement(complement(sF10)),complement(join(complement(X0),complement(join(X1,join(complement(join(sF10,X1)),complement(complement(X0)))))))))),
inference(superposition,[],[f305,f1648]) ).
fof(f21791,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,join(complement(join(sF10,X1)),X0)))) = join(complement(X0),complement(join(complement(complement(sF10)),complement(join(complement(X0),complement(join(X1,join(complement(join(sF10,X1)),X0)))))))),
inference(forward_demodulation,[],[f21705,f12049]) ).
fof(f21870,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,join(complement(sF10),X0)))) = join(complement(X0),complement(join(complement(complement(sF10)),complement(join(complement(X0),complement(join(X1,join(complement(sF10),X0)))))))),
inference(forward_demodulation,[],[f21791,f3382]) ).
fof(f21929,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,join(zero,X0)))) = join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(join(X1,join(zero,X0)))))))),
inference(forward_demodulation,[],[f21870,f58]) ).
fof(f21983,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(join(X1,X0))))))),
inference(forward_demodulation,[],[f21929,f14898]) ).
fof(f22029,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(X0),complement(join(sF10,complement(join(complement(X0),complement(join(X1,X0))))))),
inference(forward_demodulation,[],[f21983,f5882]) ).
fof(f22066,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(X0),complement(join(sF10,complement(complement(join(X1,X0)))))),
inference(forward_demodulation,[],[f22029,f1404]) ).
fof(f22098,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(X0),complement(join(join(X1,X0),sF10))),
inference(forward_demodulation,[],[f22066,f1372]) ).
fof(f22112,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(X0),complement(join(sF10,join(X1,X0)))),
inference(forward_demodulation,[],[f22098,f18]) ).
fof(f22120,plain,
! [X0,X1] : join(complement(X0),complement(join(sF10,X0))) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f22112,f3384]) ).
fof(f22125,plain,
! [X0,X1] : join(complement(X0),complement(sF10)) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f22120,f3382]) ).
fof(f22130,plain,
! [X0,X1] : join(complement(X0),zero) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f22125,f58]) ).
fof(f22133,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f22130,f18]) ).
fof(f22135,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f22133,f14882]) ).
fof(f22429,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(complement(X0),sF10))),
inference(superposition,[],[f1675,f12049]) ).
fof(f22541,plain,
! [X0] : join(X0,complement(join(sF10,complement(X0)))) = join(X0,X0),
inference(forward_demodulation,[],[f22429,f6929]) ).
fof(f22593,plain,
! [X0] : join(X0,complement(sF10)) = join(X0,X0),
inference(forward_demodulation,[],[f22541,f3382]) ).
fof(f22641,plain,
! [X0] : join(X0,zero) = join(X0,X0),
inference(forward_demodulation,[],[f22593,f58]) ).
fof(f22681,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f22641,f14972]) ).
fof(f28820,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f135,f22681]) ).
fof(f28821,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f135,f22681]) ).
fof(f43878,plain,
! [X0,X1] : join(zero,X0) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f7779,f12049]) ).
fof(f44111,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f43878,f14898]) ).
fof(f61311,plain,
! [X0,X1] : join(X0,join(zero,X1)) = join(zero,complement(join(zero,join(complement(join(X1,X0)),complement(join(X0,join(zero,X1))))))),
inference(superposition,[],[f381,f135]) ).
fof(f61454,plain,
! [X0,X1] : join(X0,join(zero,X1)) = complement(join(complement(join(X1,X0)),complement(join(X0,join(zero,X1))))),
inference(forward_demodulation,[],[f61311,f12329]) ).
fof(f61564,plain,
! [X0,X1] : join(X0,X1) = complement(join(complement(join(X1,X0)),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f61454,f14898]) ).
fof(f67010,plain,
! [X0,X1] : join(complement(join(X0,join(zero,X1))),complement(complement(join(zero,complement(join(X1,X0)))))) = join(complement(join(X0,join(zero,X1))),complement(join(complement(complement(sF10)),complement(join(complement(join(X0,join(zero,X1))),complement(complement(join(zero,complement(join(X1,X0)))))))))),
inference(superposition,[],[f305,f2037]) ).
fof(f67075,plain,
! [X0,X1] : join(complement(join(X0,join(zero,X1))),join(zero,complement(join(X1,X0)))) = join(complement(join(X0,join(zero,X1))),complement(join(complement(complement(sF10)),complement(join(complement(join(X0,join(zero,X1))),join(zero,complement(join(X1,X0)))))))),
inference(forward_demodulation,[],[f67010,f12049]) ).
fof(f67587,plain,
! [X0,X1] : join(complement(join(X1,X0)),join(complement(join(X0,join(zero,X1))),zero)) = join(complement(join(X0,join(zero,X1))),complement(join(complement(complement(sF10)),complement(join(complement(join(X1,X0)),join(complement(join(X0,join(zero,X1))),zero)))))),
inference(forward_demodulation,[],[f67075,f135]) ).
fof(f68092,plain,
! [X0,X1] : join(zero,join(complement(join(X1,X0)),complement(join(X0,join(zero,X1))))) = join(complement(join(X0,join(zero,X1))),complement(join(complement(complement(sF10)),complement(join(zero,join(complement(join(X1,X0)),complement(join(X0,join(zero,X1))))))))),
inference(forward_demodulation,[],[f67587,f135]) ).
fof(f68594,plain,
! [X0,X1] : join(complement(join(X0,join(zero,X1))),complement(join(X1,X0))) = join(complement(join(X0,join(zero,X1))),complement(join(complement(complement(sF10)),complement(join(complement(join(X0,join(zero,X1))),complement(join(X1,X0))))))),
inference(forward_demodulation,[],[f68092,f14962]) ).
fof(f69046,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(join(X0,join(zero,X1)))) = join(complement(join(X0,join(zero,X1))),complement(join(complement(complement(sF10)),complement(join(complement(join(X1,X0)),complement(join(X0,join(zero,X1)))))))),
inference(forward_demodulation,[],[f68594,f18]) ).
fof(f69453,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(complement(complement(sF10)),complement(join(complement(join(X1,X0)),complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f69046,f14898]) ).
fof(f69811,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(complement(complement(sF10)),join(X0,X1)))),
inference(forward_demodulation,[],[f69453,f61564]) ).
fof(f70043,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X1,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f69811,f22135]) ).
fof(f74951,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(complement(join(zero,complement(X1))),join(X0,join(complement(join(sF10,complement(X1))),X2))),
inference(superposition,[],[f408,f135]) ).
fof(f75192,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(complement(join(zero,complement(X1))),join(X0,join(complement(sF10),X2))),
inference(forward_demodulation,[],[f74951,f3382]) ).
fof(f75387,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(complement(sF10),join(complement(join(zero,complement(X1))),join(X0,X2))),
inference(forward_demodulation,[],[f75192,f1866]) ).
fof(f75553,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(complement(sF10),join(complement(complement(X1)),join(X0,X2))),
inference(forward_demodulation,[],[f75387,f14882]) ).
fof(f75702,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(complement(sF10),join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f75553,f12049]) ).
fof(f75836,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(zero,join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f75702,f58]) ).
fof(f75943,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X1,join(X2,X0)),
inference(forward_demodulation,[],[f75836,f14898]) ).
fof(f84186,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(join(complement(X1),join(complement(X0),complement(X1)))),join(complement(X0),complement(X0))),
inference(superposition,[],[f278,f7751]) ).
fof(f84251,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(complement(join(complement(X1),join(complement(X0),complement(X1)))),complement(X0))),
inference(forward_demodulation,[],[f84186,f135]) ).
fof(f84451,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(complement(X0),complement(join(complement(X1),join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f84251,f135]) ).
fof(f84614,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(join(complement(X1),join(complement(X0),complement(X1)))),complement(X0)),
inference(forward_demodulation,[],[f84451,f28820]) ).
fof(f84734,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),complement(join(complement(X1),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f84614,f18]) ).
fof(f84830,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f84734,f28821]) ).
fof(f87716,plain,
! [X2,X0,X1] : join(zero,complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(complement(join(zero,complement(join(X1,complement(join(complement(X0),complement(join(complement(complement(X0)),X2)))))))))),
inference(superposition,[],[f7769,f7084]) ).
fof(f88067,plain,
! [X2,X0,X1] : join(zero,complement(join(X0,X1))) = join(complement(join(X0,X1)),join(zero,complement(join(X1,complement(join(complement(X0),complement(join(complement(complement(X0)),X2)))))))),
inference(forward_demodulation,[],[f87716,f12049]) ).
fof(f88226,plain,
! [X2,X0,X1] : join(zero,complement(join(X0,X1))) = join(zero,join(complement(join(X1,complement(join(complement(X0),complement(join(complement(complement(X0)),X2)))))),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f88067,f135]) ).
fof(f88382,plain,
! [X2,X0,X1] : join(zero,complement(join(X0,X1))) = join(zero,join(complement(join(X0,X1)),complement(join(X1,complement(join(complement(X0),complement(join(complement(complement(X0)),X2)))))))),
inference(forward_demodulation,[],[f88226,f75943]) ).
fof(f88525,plain,
! [X2,X0,X1] : join(zero,complement(join(X0,X1))) = join(complement(join(X1,complement(join(complement(X0),complement(join(complement(complement(X0)),X2)))))),complement(join(X0,X1))),
inference(forward_demodulation,[],[f88382,f14962]) ).
fof(f88656,plain,
! [X2,X0,X1] : join(zero,complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(X1,complement(join(complement(X0),complement(join(complement(complement(X0)),X2))))))),
inference(forward_demodulation,[],[f88525,f18]) ).
fof(f88772,plain,
! [X0,X1] : join(zero,complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(X1,complement(complement(X0))))),
inference(forward_demodulation,[],[f88656,f44111]) ).
fof(f88853,plain,
! [X0,X1] : join(zero,complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f88772,f12049]) ).
fof(f88912,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f88853,f70043]) ).
fof(f88958,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f88912,f14882]) ).
fof(f100513,plain,
sF10 = join(sF4,converse(sF7)),
inference(superposition,[],[f20248,f14898]) ).
fof(f100770,plain,
converse(sF10) = join(converse(sF4),sF7),
inference(superposition,[],[f97,f100513]) ).
fof(f100819,plain,
converse(sF10) = join(sF7,converse(sF4)),
inference(forward_demodulation,[],[f100770,f18]) ).
fof(f100839,plain,
sF10 = join(sF7,converse(sF4)),
inference(forward_demodulation,[],[f100819,f3528]) ).
fof(f101709,plain,
sK0 = join(complement(sF10),complement(join(sF7,complement(converse(sF4))))),
inference(superposition,[],[f289,f100839]) ).
fof(f101768,plain,
sK0 = join(zero,complement(join(sF7,complement(converse(sF4))))),
inference(forward_demodulation,[],[f101709,f58]) ).
fof(f101792,plain,
sK0 = complement(join(sF7,complement(converse(sF4)))),
inference(forward_demodulation,[],[f101768,f14882]) ).
fof(f151883,plain,
complement(sK0) = join(sF7,complement(converse(sF4))),
inference(superposition,[],[f12049,f101792]) ).
fof(f151888,plain,
sF7 = join(sF7,complement(converse(sF4))),
inference(forward_demodulation,[],[f151883,f48]) ).
fof(f152531,plain,
converse(sF4) = join(complement(sF7),complement(join(complement(converse(sF4)),complement(sF7)))),
inference(superposition,[],[f280,f151888]) ).
fof(f152583,plain,
converse(sF4) = join(complement(sF7),complement(join(complement(sF7),complement(converse(sF4))))),
inference(forward_demodulation,[],[f152531,f88958]) ).
fof(f152604,plain,
converse(sF4) = join(converse(sF4),complement(sF7)),
inference(forward_demodulation,[],[f152583,f84830]) ).
fof(f152617,plain,
converse(sF4) = join(complement(sF7),converse(sF4)),
inference(forward_demodulation,[],[f152604,f18]) ).
fof(f152621,plain,
converse(sF4) = join(sK0,converse(sF4)),
inference(forward_demodulation,[],[f152617,f12234]) ).
fof(f153051,plain,
converse(converse(sF4)) = join(sF2,converse(converse(sF4))),
inference(superposition,[],[f93,f152621]) ).
fof(f153114,plain,
sF4 = join(sF2,sF4),
inference(forward_demodulation,[],[f153051,f25]) ).
fof(f153710,plain,
join(sF3,sF4) = join(sF5,sF2),
inference(superposition,[],[f754,f153114]) ).
fof(f153765,plain,
join(sF3,sF4) = join(sF2,sF5),
inference(forward_demodulation,[],[f153710,f18]) ).
fof(f153780,plain,
join(sF3,sF4) = sF10,
inference(forward_demodulation,[],[f153765,f3399]) ).
fof(f153789,plain,
sF5 = sF10,
inference(forward_demodulation,[],[f153780,f43]) ).
fof(f155596,plain,
zero = complement(sF5),
inference(superposition,[],[f58,f153789]) ).
fof(f156487,plain,
zero = sF6,
inference(superposition,[],[f45,f155596]) ).
fof(f156673,plain,
$false,
inference(forward_subsumption_resolution,[],[f156487,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL007+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.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 22:51:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 23.26/3.83 % (1693220)Will run a generic schedule for satisfiability detection.
% 23.26/3.83 % (1693229)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=84755348_2999 on theBenchmark for (2999ds/0Mi)
% 23.26/3.83 % TRYING [1]
% 23.26/3.83 % TRYING [2]
% 23.26/3.83 % TRYING [3]
% 23.26/3.83 % (1693230)% WARNING: option uhcvi not known.
% 23.26/3.83 % (1693230)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=225180016:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 23.26/3.83 % (1693231)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4273258171:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 23.26/3.83 % (1693233)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2382753770:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 23.26/3.83 % TRYING [4]
% 23.26/3.83 % (1693234)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3525134844:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 23.26/3.83 % (1693232)dis+10_1_sil=32000:sp=arity:random_seed=1983022937:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 23.26/3.83 % (1693235)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3174858778:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 23.26/3.83 % TRYING [5]
% 23.26/3.83 % (1693232)Instruction limit reached!
% 23.26/3.83 % (1693232)------------------------------
% 23.26/3.83 % (1693232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.26/3.83 % (1693232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.83 % (1693232)CaDiCaL version: 2.1.3
% 23.26/3.83 % (1693232)Termination reason: Instruction limit
% 23.26/3.83 % (1693232)Termination phase: Saturation
% 23.26/3.83 % (1693232)Time elapsed: 0.062 s
% 23.26/3.83 % (1693232)Peak memory usage: 12 MB
% 23.26/3.83 % (1693232)Instructions burned: 104 (million)
% 23.26/3.83 % (1693234)Instruction limit reached!
% 23.26/3.83 % (1693234)------------------------------
% 23.26/3.83 % (1693234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.26/3.83 % (1693234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.83 % (1693234)CaDiCaL version: 2.1.3
% 23.26/3.83 % (1693234)Termination reason: Instruction limit
% 23.26/3.83 % (1693234)Termination phase: Saturation
% 23.26/3.83 % (1693234)Time elapsed: 0.093 s
% 23.26/3.83 % (1693234)Peak memory usage: 13 MB
% 23.26/3.83 % (1693234)Instructions burned: 131 (million)
% 23.26/3.83 % (1693270)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=726122093:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 23.26/3.83 % (1693233)Instruction limit reached!
% 23.26/3.83 % (1693233)------------------------------
% 23.26/3.83 % (1693233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.26/3.83 % (1693233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.83 % (1693233)CaDiCaL version: 2.1.3
% 23.26/3.83 % (1693233)Termination reason: Instruction limit
% 23.26/3.83 % (1693233)Termination phase: Saturation
% 23.26/3.83 % (1693233)Time elapsed: 0.115 s
% 23.26/3.83 % (1693233)Peak memory usage: 12 MB
% 23.26/3.83 % (1693233)Instructions burned: 117 (million)
% 23.26/3.83 % TRYING [1]
% 23.26/3.83 % TRYING [2]
% 23.26/3.83 % TRYING [3]
% 23.26/3.83 % (1693235)Instruction limit reached!
% 23.26/3.83 % (1693235)------------------------------
% 23.26/3.83 % (1693235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.26/3.83 % (1693235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.26/3.83 % (1693235)CaDiCaL version: 2.1.3
% 23.26/3.83 % (1693235)Termination reason: Instruction limit
% 23.26/3.83 % (1693235)Termination phase: Saturation
% 23.26/3.83 % (1693235)Time elapsed: 0.129 s
% 23.26/3.83 % (1693235)Peak memory usage: 12 MB
% 23.26/3.83 % (1693235)Instructions burned: 159 (million)
% 23.26/3.83 % TRYING [4]
% 23.26/3.83 % (1693271)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=554249498:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 23.26/3.83 % (1693273)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=2430684396:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 23.26/3.83 % TRYING [6]
% 23.26/3.83 % (1693274)ott-21_1_sil=16000:fs=off:random_seed=1742666098:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 23.26/3.83 % TRYING [5]
% 23.26/3.83 % (1693271)Instruction limit reached!
% 23.26/3.83 % (1693271)------------------------------
% 23.26/3.83 % (1693271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.37/8.52 % (1693271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.37/8.52 % (1693271)CaDiCaL version: 2.1.3
% 55.37/8.52 % (1693271)Termination reason: Instruction limit
% 55.37/8.52 % (1693271)Termination phase: Saturation
% 55.37/8.52 % (1693271)Time elapsed: 0.155 s
% 55.37/8.52 % (1693271)Peak memory usage: 12 MB
% 55.37/8.52 % (1693271)Instructions burned: 131 (million)
% 55.37/8.52 % (1693274)Instruction limit reached!
% 55.37/8.52 % (1693274)------------------------------
% 55.37/8.52 % (1693274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.37/8.52 % (1693274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.37/8.52 % (1693274)CaDiCaL version: 2.1.3
% 55.37/8.52 % (1693274)Termination reason: Instruction limit
% 55.37/8.52 % (1693274)Termination phase: Saturation
% 55.37/8.52 % (1693274)Time elapsed: 0.160 s
% 55.37/8.52 % (1693274)Peak memory usage: 12 MB
% 55.37/8.52 % (1693274)Instructions burned: 181 (million)
% 55.37/8.52 % (1693278)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=777674539:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 55.37/8.52 % (1693279)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1124784760:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 55.37/8.52 % TRYING [1]
% 55.37/8.52 % TRYING [2]
% 55.37/8.52 % TRYING [3]
% 55.37/8.52 % TRYING [4]
% 55.37/8.52 % TRYING [6]
% 55.37/8.52 % TRYING [5]
% 55.37/8.52 % (1693270)Instruction limit reached!
% 55.37/8.52 % (1693270)------------------------------
% 55.37/8.52 % (1693270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.37/8.52 % (1693270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.37/8.52 % (1693270)CaDiCaL version: 2.1.3
% 55.37/8.52 % (1693270)Termination reason: Instruction limit
% 55.37/8.52 % (1693270)Termination phase: Finite model building SAT solving
% 55.37/8.52 % (1693270)Time elapsed: 0.598 s
% 55.37/8.52 % (1693270)Peak memory usage: 26 MB
% 55.37/8.52 % (1693270)Instructions burned: 714 (million)
% 55.37/8.52 % (1693282)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1908039710:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 55.37/8.52 % (1693273)Instruction limit reached!
% 55.37/8.52 % (1693273)------------------------------
% 55.37/8.52 % (1693273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.37/8.52 % (1693273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.37/8.52 % (1693273)CaDiCaL version: 2.1.3
% 55.37/8.52 % (1693273)Termination reason: Instruction limit
% 55.37/8.52 % (1693273)Termination phase: Saturation
% 55.37/8.52 % (1693273)Time elapsed: 0.634 s
% 55.37/8.52 % (1693273)Peak memory usage: 17 MB
% 55.37/8.52 % (1693273)Instructions burned: 685 (million)
% 55.37/8.52 % (1693278)Instruction limit reached!
% 55.37/8.52 % (1693278)------------------------------
% 55.37/8.52 % (1693278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.37/8.52 % (1693278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.37/8.52 % (1693278)CaDiCaL version: 2.1.3
% 55.37/8.52 % (1693278)Termination reason: Instruction limit
% 55.37/8.52 % (1693278)Termination phase: Saturation
% 55.37/8.52 % (1693278)Time elapsed: 0.464 s
% 55.37/8.52 % (1693278)Peak memory usage: 15 MB
% 55.37/8.52 % (1693278)Instructions burned: 478 (million)
% 55.37/8.52 % TRYING [6]
% 55.37/8.52 % (1693284)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1832007219:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 55.37/8.52 % TRYING [7]
% 55.37/8.52 % (1693285)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=62021369:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 55.37/8.52 % (1693279)Instruction limit reached!
% 55.37/8.52 % (1693279)------------------------------
% 55.37/8.52 % (1693279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.37/8.52 % (1693279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.37/8.52 % (1693279)CaDiCaL version: 2.1.3
% 55.37/8.52 % (1693279)Termination reason: Instruction limit
% 55.37/8.52 % (1693279)Termination phase: Finite model building SAT solving
% 55.37/8.52 % (1693279)Time elapsed: 0.625 s
% 55.37/8.52 % (1693279)Peak memory usage: 22 MB
% 55.37/8.52 % (1693279)Instructions burned: 866 (million)
% 55.37/8.52 % TRYING [14]
% 55.37/8.52 % (1693288)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2494871551:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 55.37/8.52 % (1693284)Instruction limit reached!
% 59.12/8.89 % (1693284)------------------------------
% 59.12/8.89 % (1693284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693284)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693284)Termination reason: Instruction limit
% 59.12/8.89 % (1693284)Termination phase: Finite model building constraint generation
% 59.12/8.89 % (1693284)Time elapsed: 0.693 s
% 59.12/8.89 % (1693284)Peak memory usage: 82 MB
% 59.12/8.89 % (1693284)Instructions burned: 891 (million)
% 59.12/8.89 % (1693285)Instruction limit reached!
% 59.12/8.89 % (1693285)------------------------------
% 59.12/8.89 % (1693285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693285)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693285)Termination reason: Instruction limit
% 59.12/8.89 % (1693285)Termination phase: Saturation
% 59.12/8.89 % (1693285)Time elapsed: 0.688 s
% 59.12/8.89 % (1693285)Peak memory usage: 17 MB
% 59.12/8.89 % (1693285)Instructions burned: 693 (million)
% 59.12/8.89 % (1693299)fmb+10_1_sil=64000:random_seed=3739394706:i=22061:nm=2:gsp=on_2984 on theBenchmark for (2984ds/22061Mi)
% 59.12/8.89 % (1693300)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3919427292:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 59.12/8.89 % TRYING [1]
% 59.12/8.89 % TRYING [2]
% 59.12/8.89 % TRYING [20]
% 59.12/8.89 % TRYING [3]
% 59.12/8.89 % TRYING [4]
% 59.12/8.89 % TRYING [5]
% 59.12/8.89 % (1693282)Instruction limit reached!
% 59.12/8.89 % (1693282)------------------------------
% 59.12/8.89 % (1693282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693282)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693282)Termination reason: Instruction limit
% 59.12/8.89 % (1693282)Termination phase: Saturation
% 59.12/8.89 % (1693282)Time elapsed: 1.113 s
% 59.12/8.89 % (1693282)Peak memory usage: 20 MB
% 59.12/8.89 % (1693282)Instructions burned: 1179 (million)
% 59.12/8.89 % (1693288)Instruction limit reached!
% 59.12/8.89 % (1693288)------------------------------
% 59.12/8.89 % (1693288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693288)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693288)Termination reason: Instruction limit
% 59.12/8.89 % (1693288)Termination phase: Saturation
% 59.12/8.89 % (1693288)Time elapsed: 0.832 s
% 59.12/8.89 % (1693288)Peak memory usage: 19 MB
% 59.12/8.89 % (1693288)Instructions burned: 880 (million)
% 59.12/8.89 % (1693303)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=942943292:fmbsr=1.7:i=920_2980 on theBenchmark for (2980ds/920Mi)
% 59.12/8.89 % TRYING [8]
% 59.12/8.89 % (1693304)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=959155455:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 59.12/8.89 % TRYING [6]
% 59.12/8.89 % (1693303)Instruction limit reached!
% 59.12/8.89 % (1693303)------------------------------
% 59.12/8.89 % (1693303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693303)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693303)Termination reason: Instruction limit
% 59.12/8.89 % (1693303)Termination phase: Finite model building SAT solving
% 59.12/8.89 % (1693303)Time elapsed: 0.713 s
% 59.12/8.89 % (1693303)Peak memory usage: 65 MB
% 59.12/8.89 % (1693303)Instructions burned: 923 (million)
% 59.12/8.89 % (1693315)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3447359655:i=1472:ins=7:fdi=8:gsp=on_2973 on theBenchmark for (2973ds/1472Mi)
% 59.12/8.89 % TRYING [7]
% 59.12/8.89 % (1693315)Instruction limit reached!
% 59.12/8.89 % (1693315)------------------------------
% 59.12/8.89 % (1693315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693315)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693315)Termination reason: Instruction limit
% 59.12/8.89 % (1693315)Termination phase: Saturation
% 59.12/8.89 % (1693315)Time elapsed: 0.681 s
% 59.12/8.89 % (1693315)Peak memory usage: 24 MB
% 59.12/8.89 % (1693315)Instructions burned: 1474 (million)
% 59.12/8.89 % (1693320)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2589139791:i=6324_2965 on theBenchmark for (2965ds/6324Mi)
% 59.12/8.89 % TRYING [77]
% 59.12/8.89 % TRYING [8]
% 59.12/8.89 % TRYING [8]
% 59.12/8.89 % (1693304)Instruction limit reached!
% 59.12/8.89 % (1693304)------------------------------
% 59.12/8.89 % (1693304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693304)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693304)Termination reason: Instruction limit
% 59.12/8.89 % (1693304)Termination phase: Saturation
% 59.12/8.89 % (1693304)Time elapsed: 3.290 s
% 59.12/8.89 % (1693304)Peak memory usage: 48 MB
% 59.12/8.89 % (1693304)Instructions burned: 5131 (million)
% 59.12/8.89 % (1693460)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3259412524:fmbsr=2.30978:i=2174_2946 on theBenchmark for (2946ds/2174Mi)
% 59.12/8.89 % TRYING [16]
% 59.12/8.89 % (1693300)Instruction limit reached!
% 59.12/8.89 % (1693300)------------------------------
% 59.12/8.89 % (1693300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693300)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693300)Termination reason: Instruction limit
% 59.12/8.89 % (1693300)Termination phase: Finite model building constraint generation
% 59.12/8.89 % (1693300)Time elapsed: 3.975 s
% 59.12/8.89 % (1693300)Peak memory usage: 670 MB
% 59.12/8.89 % (1693300)Instructions burned: 9516 (million)
% 59.12/8.89 % (1693479)ott-2_1_sil=16000:newcnf=on:random_seed=2233642110:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2943 on theBenchmark for (2943ds/869Mi)
% 59.12/8.89 % (1693320)Instruction limit reached!
% 59.12/8.89 % (1693320)------------------------------
% 59.12/8.89 % (1693320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693320)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693320)Termination reason: Instruction limit
% 59.12/8.89 % (1693320)Termination phase: Finite model building constraint generation
% 59.12/8.89 % (1693320)Time elapsed: 2.341 s
% 59.12/8.89 % (1693320)Peak memory usage: 515 MB
% 59.12/8.89 % (1693320)Instructions burned: 6326 (million)
% 59.12/8.89 % (1693481)ott+10_1_sil=32000:tgt=ground:random_seed=2995617446:i=5114:av=off_2941 on theBenchmark for (2941ds/5114Mi)
% 59.12/8.89 % (1693460)Instruction limit reached!
% 59.12/8.89 % (1693460)------------------------------
% 59.12/8.89 % (1693460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693460)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693460)Termination reason: Instruction limit
% 59.12/8.89 % (1693460)Termination phase: Finite model building constraint generation
% 59.12/8.89 % (1693460)Time elapsed: 0.736 s
% 59.12/8.89 % (1693460)Peak memory usage: 135 MB
% 59.12/8.89 % (1693460)Instructions burned: 2174 (million)
% 59.12/8.89 % (1693483)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3384028025:i=54282_2939 on theBenchmark for (2939ds/54282Mi)
% 59.12/8.89 % TRYING [1]
% 59.12/8.89 % TRYING [2]
% 59.12/8.89 % TRYING [3]
% 59.12/8.89 % TRYING [4]
% 59.12/8.89 % TRYING [5]
% 59.12/8.89 % (1693479)Instruction limit reached!
% 59.12/8.89 % (1693479)------------------------------
% 59.12/8.89 % (1693479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693479)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693479)Termination reason: Instruction limit
% 59.12/8.89 % (1693479)Termination phase: Saturation
% 59.12/8.89 % (1693479)Time elapsed: 0.496 s
% 59.12/8.89 % (1693479)Peak memory usage: 18 MB
% 59.12/8.89 % (1693479)Instructions burned: 869 (million)
% 59.12/8.89 % (1693485)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4243156586:i=3512:aac=none_2937 on theBenchmark for (2937ds/3512Mi)
% 59.12/8.89 % TRYING [6]
% 59.12/8.89 % TRYING [7]
% 59.12/8.89 % (1693485)Instruction limit reached!
% 59.12/8.89 % (1693485)------------------------------
% 59.12/8.89 % (1693485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693485)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693485)Termination reason: Instruction limit
% 59.12/8.89 % (1693485)Termination phase: Saturation
% 59.12/8.89 % (1693485)Time elapsed: 1.851 s
% 59.12/8.89 % (1693485)Peak memory usage: 40 MB
% 59.12/8.89 % (1693485)Instructions burned: 3512 (million)
% 59.12/8.89 % (1693487)dis+21_1_sil=32000:sas=cadical:random_seed=1383045964:i=3773:amm=off_2919 on theBenchmark for (2919ds/3773Mi)
% 59.12/8.89 % (1693481) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1693220-1693481"...
% 59.12/8.89 % (1693481)...printing done.
% 59.12/8.89 % (1693481)Refutation found. Thanks to Tanya!
% 59.12/8.89 % SZS status Theorem for theBenchmark
% 59.12/8.89 % SZS output start Proof for theBenchmark
% See solution above
% 59.12/8.89 % (1693481)------------------------------
% 59.12/8.89 % (1693481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.12/8.89 % (1693481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.12/8.89 % (1693481)CaDiCaL version: 2.1.3
% 59.12/8.89 % (1693481)Termination reason: Refutation
% 59.12/8.89 % (1693481)Time elapsed: 2.610 s
% 59.12/8.89 % (1693481)Peak memory usage: 47 MB
% 59.12/8.89 % (1693481)Instructions burned: 4617 (million)
% 59.12/8.89 % (1693220)Success in time 8.475 s
% 59.12/8.89 % Vampire exiting
%------------------------------------------------------------------------------