%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL048+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 : n012.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 12:34:40 PM UTC 2026
% Result : Theorem 7.61s 1.65s
% Output : Refutation 7.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 11
% Syntax : Number of formulae : 147 ( 128 unt; 2 def)
% Number of atoms : 170 ( 143 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 16 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 120 !; 3 ?)
% 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(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(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,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X0,X2) = X2
& join(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X0,X2) = X2
& join(X1,X2) = X2 ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( join(X0,X2) != X2
| join(X1,X2) != X2 )
& join(join(X0,X1),X2) = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f29,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
( sK2 != join(sK1,sK2)
| sK2 != join(sK0,sK2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
sK2 = join(join(sK0,sK1),sK2),
inference(cnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f29,f20]) ).
fof(f34,definition,
( spl3_1
<=> sK2 = join(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f35,plain,
( sK2 = join(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( sK2 != join(sK0,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl3_2
<=> sK2 = join(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f40,plain,
( sK2 != join(sK1,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f30,f38,f34]) ).
fof(f44,plain,
( sK2 != join(sK2,sK0)
| spl3_1 ),
inference(superposition,[],[f36,f17]) ).
fof(f48,plain,
zero = complement(top),
inference(forward_demodulation,[],[f32,f28]) ).
fof(f49,plain,
top = join(top,zero),
inference(superposition,[],[f28,f48]) ).
fof(f50,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f25,f24]) ).
fof(f51,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f25,f24]) ).
fof(f52,plain,
! [X0,X1] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[],[f25,f17]) ).
fof(f58,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f18,f28]) ).
fof(f59,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f18,f17]) ).
fof(f61,plain,
! [X0] : join(sK2,X0) = join(join(sK0,sK1),join(sK2,X0)),
inference(superposition,[],[f18,f31]) ).
fof(f66,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f18,f28]) ).
fof(f67,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f18,f17]) ).
fof(f111,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f19,f48]) ).
fof(f112,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f19,f19]) ).
fof(f113,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f19,f28]) ).
fof(f114,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f19,f17]) ).
fof(f116,plain,
! [X0] : top = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f19,f48]) ).
fof(f118,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f19,f28]) ).
fof(f119,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f19,f17]) ).
fof(f126,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(forward_demodulation,[],[f118,f48]) ).
fof(f127,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f113,f48]) ).
fof(f128,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f112,f17]) ).
fof(f129,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f111,f17]) ).
fof(f130,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f128,f18]) ).
fof(f131,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f129,f17]) ).
fof(f171,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f50,f28]) ).
fof(f218,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f52,f25]) ).
fof(f223,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(converse(converse(X1)),X0),
inference(superposition,[],[f51,f52]) ).
fof(f227,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f223,f24]) ).
fof(f315,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f58,f28]) ).
fof(f438,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f59,f28]) ).
fof(f456,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(zero,X1)),
inference(superposition,[],[f59,f127]) ).
fof(f467,plain,
! [X0] : join(sK2,X0) = join(sK1,join(sK0,join(sK2,X0))),
inference(superposition,[],[f59,f61]) ).
fof(f478,plain,
sK2 = join(sK1,join(sK0,sK2)),
inference(superposition,[],[f31,f59]) ).
fof(f490,plain,
sK2 = join(sK1,join(sK2,sK0)),
inference(forward_demodulation,[],[f478,f17]) ).
fof(f522,plain,
! [X0] : join(join(sK0,sK1),join(sK2,X0)) = join(X0,sK2),
inference(superposition,[],[f67,f31]) ).
fof(f772,plain,
top = join(complement(join(zero,complement(complement(zero)))),complement(top)),
inference(superposition,[],[f116,f28]) ).
fof(f796,plain,
top = join(complement(join(zero,complement(complement(zero)))),zero),
inference(forward_demodulation,[],[f772,f48]) ).
fof(f830,plain,
! [X0] : join(top,zero) = join(join(complement(X0),complement(complement(complement(X0)))),X0),
inference(superposition,[],[f58,f126]) ).
fof(f840,plain,
! [X0] : top = join(join(complement(X0),complement(complement(complement(X0)))),X0),
inference(forward_demodulation,[],[f830,f49]) ).
fof(f1016,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(superposition,[],[f131,f17]) ).
fof(f1251,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f114,f28]) ).
fof(f1263,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f114,f17]) ).
fof(f1292,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f1251,f17]) ).
fof(f1302,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f1292,f48]) ).
fof(f1349,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f119,f28]) ).
fof(f1387,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f1349,f48]) ).
fof(f1648,plain,
! [X0] : join(sK2,X0) = join(sK1,join(sK2,join(X0,sK0))),
inference(forward_demodulation,[],[f467,f67]) ).
fof(f1780,plain,
top = join(complement(join(join(sK0,sK1),sK2)),sK2),
inference(superposition,[],[f66,f522]) ).
fof(f1794,plain,
top = join(complement(sK2),sK2),
inference(forward_demodulation,[],[f1780,f31]) ).
fof(f1877,plain,
top = join(complement(sK2),join(sK2,complement(top))),
inference(superposition,[],[f66,f1794]) ).
fof(f1880,plain,
top = join(complement(sK2),join(sK2,zero)),
inference(forward_demodulation,[],[f1877,f48]) ).
fof(f2060,plain,
top = join(zero,join(complement(sK2),sK2)),
inference(superposition,[],[f67,f1880]) ).
fof(f2070,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f2060,f1794]) ).
fof(f2092,plain,
join(complement(zero),complement(zero)) = join(complement(zero),complement(join(complement(zero),zero))),
inference(superposition,[],[f130,f127]) ).
fof(f2124,plain,
join(complement(zero),complement(zero)) = join(complement(zero),complement(join(zero,complement(zero)))),
inference(forward_demodulation,[],[f2092,f17]) ).
fof(f2135,plain,
join(complement(zero),complement(zero)) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f2124,f28]) ).
fof(f2145,plain,
join(complement(zero),complement(zero)) = join(complement(top),complement(zero)),
inference(forward_demodulation,[],[f2135,f17]) ).
fof(f2149,plain,
join(zero,complement(zero)) = join(complement(zero),complement(zero)),
inference(forward_demodulation,[],[f2145,f48]) ).
fof(f2150,plain,
top = join(complement(zero),complement(zero)),
inference(forward_demodulation,[],[f2149,f28]) ).
fof(f2157,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f59,f2070]) ).
fof(f3339,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f2157,f28]) ).
fof(f3447,plain,
zero = join(complement(join(zero,complement(zero))),complement(join(top,top))),
inference(superposition,[],[f131,f3339]) ).
fof(f3461,plain,
zero = join(complement(top),complement(join(top,top))),
inference(forward_demodulation,[],[f3447,f28]) ).
fof(f3463,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f3461,f48]) ).
fof(f3491,plain,
join(zero,top) = join(top,complement(zero)),
inference(superposition,[],[f58,f2150]) ).
fof(f3511,plain,
join(zero,top) = join(top,top),
inference(forward_demodulation,[],[f3491,f3339]) ).
fof(f3528,plain,
top = join(top,top),
inference(forward_demodulation,[],[f3511,f2070]) ).
fof(f3559,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f18,f3528]) ).
fof(f3779,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f3559,f171]) ).
fof(f3825,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f51,f3779]) ).
fof(f3834,plain,
top = join(converse(top),top),
inference(forward_demodulation,[],[f3825,f24]) ).
fof(f4058,plain,
converse(top) = converse(join(top,converse(top))),
inference(superposition,[],[f218,f3834]) ).
fof(f4061,plain,
converse(top) = converse(converse(top)),
inference(forward_demodulation,[],[f4058,f3779]) ).
fof(f4066,plain,
top = converse(top),
inference(forward_demodulation,[],[f4061,f24]) ).
fof(f5762,plain,
join(top,complement(zero)) = join(complement(complement(zero)),top),
inference(superposition,[],[f438,f2150]) ).
fof(f5939,plain,
join(top,top) = join(complement(complement(zero)),top),
inference(forward_demodulation,[],[f5762,f3339]) ).
fof(f5982,plain,
top = join(complement(complement(zero)),top),
inference(forward_demodulation,[],[f5939,f3528]) ).
fof(f5992,plain,
top = join(top,complement(complement(zero))),
inference(superposition,[],[f5982,f17]) ).
fof(f6815,plain,
complement(zero) = join(complement(join(zero,complement(complement(zero)))),complement(top)),
inference(superposition,[],[f131,f5992]) ).
fof(f6841,plain,
complement(zero) = join(complement(join(zero,complement(complement(zero)))),zero),
inference(forward_demodulation,[],[f6815,f48]) ).
fof(f6845,plain,
top = complement(zero),
inference(forward_demodulation,[],[f6841,f796]) ).
fof(f9702,plain,
! [X0] : converse(top) = converse(join(X0,join(complement(X0),complement(complement(complement(X0)))))),
inference(superposition,[],[f218,f840]) ).
fof(f9754,plain,
! [X0] : converse(top) = converse(join(top,complement(complement(complement(X0))))),
inference(forward_demodulation,[],[f9702,f58]) ).
fof(f9775,plain,
! [X0] : converse(top) = converse(join(complement(X0),top)),
inference(forward_demodulation,[],[f9754,f315]) ).
fof(f9784,plain,
! [X0] : converse(top) = converse(join(top,complement(X0))),
inference(forward_demodulation,[],[f9775,f17]) ).
fof(f9788,plain,
! [X0] : top = converse(join(top,complement(X0))),
inference(forward_demodulation,[],[f9784,f4066]) ).
fof(f9794,plain,
! [X0] : top = converse(join(X0,top)),
inference(superposition,[],[f9788,f315]) ).
fof(f10186,plain,
! [X0] : join(top,X0) = converse(top),
inference(superposition,[],[f227,f9794]) ).
fof(f10235,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f10186,f4066]) ).
fof(f14237,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1016,f10235]) ).
fof(f14238,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f14237,f48]) ).
fof(f21768,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = join(X0,complement(join(top,top))),
inference(superposition,[],[f456,f3463]) ).
fof(f21959,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = join(X0,complement(top)),
inference(forward_demodulation,[],[f21768,f3528]) ).
fof(f21990,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = join(X0,zero),
inference(forward_demodulation,[],[f21959,f48]) ).
fof(f22006,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f21990,f1387]) ).
fof(f26967,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f22006,f17]) ).
fof(f27228,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(superposition,[],[f14238,f26967]) ).
fof(f27424,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f27228,f26967]) ).
fof(f39833,plain,
! [X0] : join(X0,complement(complement(X0))) = join(complement(join(complement(zero),complement(join(X0,complement(complement(X0)))))),complement(complement(X0))),
inference(superposition,[],[f1263,f1302]) ).
fof(f39980,plain,
! [X0] : join(X0,X0) = join(complement(join(complement(zero),complement(join(X0,X0)))),X0),
inference(forward_demodulation,[],[f39833,f27424]) ).
fof(f40071,plain,
! [X0] : join(X0,X0) = join(complement(join(top,complement(join(X0,X0)))),X0),
inference(forward_demodulation,[],[f39980,f6845]) ).
fof(f40135,plain,
! [X0] : join(complement(top),X0) = join(X0,X0),
inference(forward_demodulation,[],[f40071,f10235]) ).
fof(f40175,plain,
! [X0] : join(zero,X0) = join(X0,X0),
inference(forward_demodulation,[],[f40135,f48]) ).
fof(f40200,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f40175,f26967]) ).
fof(f40324,plain,
join(sK2,sK0) = join(sK1,join(sK2,sK0)),
inference(superposition,[],[f1648,f40200]) ).
fof(f40466,plain,
sK2 = join(sK2,sK0),
inference(forward_demodulation,[],[f40324,f490]) ).
fof(f40538,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f40466,f44]) ).
fof(f40539,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f40538]) ).
fof(f40588,plain,
( sK2 = join(sK2,sK0)
| ~ spl3_1 ),
inference(superposition,[],[f35,f17]) ).
fof(f40670,plain,
( join(sK2,sK2) = join(sK1,join(sK2,sK2))
| ~ spl3_1 ),
inference(superposition,[],[f1648,f40588]) ).
fof(f40726,plain,
( sK2 = join(sK1,sK2)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f40670,f40200]) ).
fof(f40733,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f40726,f40]) ).
fof(f40734,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f40733]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f41]) ).
cnf(s4,plain,
spl3_1,
inference(sat_conversion,[],[f40539]) ).
cnf(s6,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f40734]) ).
cnf(s7,plain,
spl3_2,
inference(rat,[],[s6,s4]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s4]) ).
fof(f40735,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL048+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n012.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 22:56:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 7.61/1.65 % (2851146)Will run a generic schedule for satisfiability detection.
% 7.61/1.65 % (2851152)% WARNING: option uhcvi not known.
% 7.61/1.65 % (2851152)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=307860965:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.61/1.65 % (2851151)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3456929384_2999 on theBenchmark for (2999ds/0Mi)
% 7.61/1.65 % (2851156)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1229395273:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.61/1.65 % (2851155)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=986757921:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.61/1.65 % (2851154)dis+10_1_sil=32000:sp=arity:random_seed=1094502861:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.61/1.65 % (2851157)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1682622448:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.61/1.65 % (2851153)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=115396799:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.61/1.65 % TRYING [1]
% 7.61/1.65 % TRYING [2]
% 7.61/1.65 % TRYING [3]
% 7.61/1.65 % TRYING [4]
% 7.61/1.65 % TRYING [5]
% 7.61/1.65 % (2851154)Instruction limit reached!
% 7.61/1.65 % (2851154)------------------------------
% 7.61/1.65 % (2851154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851154)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851154)Termination reason: Instruction limit
% 7.61/1.65 % (2851154)Termination phase: Saturation
% 7.61/1.65 % (2851154)Time elapsed: 0.056 s
% 7.61/1.65 % (2851154)Peak memory usage: 12 MB
% 7.61/1.65 % (2851154)Instructions burned: 104 (million)
% 7.61/1.65 % (2851155)Instruction limit reached!
% 7.61/1.65 % (2851155)------------------------------
% 7.61/1.65 % (2851155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851155)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851155)Termination reason: Instruction limit
% 7.61/1.65 % (2851155)Termination phase: Saturation
% 7.61/1.65 % (2851155)Time elapsed: 0.061 s
% 7.61/1.65 % (2851155)Peak memory usage: 12 MB
% 7.61/1.65 % (2851155)Instructions burned: 119 (million)
% 7.61/1.65 % (2851156)Instruction limit reached!
% 7.61/1.65 % (2851156)------------------------------
% 7.61/1.65 % (2851156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851156)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851156)Termination reason: Instruction limit
% 7.61/1.65 % (2851156)Termination phase: Saturation
% 7.61/1.65 % (2851156)Time elapsed: 0.064 s
% 7.61/1.65 % (2851156)Peak memory usage: 12 MB
% 7.61/1.65 % (2851156)Instructions burned: 132 (million)
% 7.61/1.65 % (2851165)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4110714387:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.61/1.65 % TRYING [1]
% 7.61/1.65 % TRYING [2]
% 7.61/1.65 % TRYING [3]
% 7.61/1.65 % (2851166)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4271082030:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.61/1.65 % (2851167)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=3105475337:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.61/1.65 % (2851157)Instruction limit reached!
% 7.61/1.65 % (2851157)------------------------------
% 7.61/1.65 % (2851157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851157)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851157)Termination reason: Instruction limit
% 7.61/1.65 % (2851157)Termination phase: Saturation
% 7.61/1.65 % (2851157)Time elapsed: 0.076 s
% 7.61/1.65 % (2851157)Peak memory usage: 12 MB
% 7.61/1.65 % (2851157)Instructions burned: 159 (million)
% 7.61/1.65 % TRYING [4]
% 7.61/1.65 % (2851171)ott-21_1_sil=16000:fs=off:random_seed=3428665975:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.61/1.65 % TRYING [5]
% 7.61/1.65 % (2851166)Instruction limit reached!
% 7.61/1.65 % (2851166)------------------------------
% 7.61/1.65 % (2851166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851166)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851166)Termination reason: Instruction limit
% 7.61/1.65 % (2851166)Termination phase: Saturation
% 7.61/1.65 % (2851166)Time elapsed: 0.045 s
% 7.61/1.65 % (2851166)Peak memory usage: 13 MB
% 7.61/1.65 % (2851166)Instructions burned: 134 (million)
% 7.61/1.65 % (2851173)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3522018954:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.61/1.65 % TRYING [6]
% 7.61/1.65 % (2851171)Instruction limit reached!
% 7.61/1.65 % (2851171)------------------------------
% 7.61/1.65 % (2851171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851171)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851171)Termination reason: Instruction limit
% 7.61/1.65 % (2851171)Termination phase: Saturation
% 7.61/1.65 % (2851171)Time elapsed: 0.064 s
% 7.61/1.65 % (2851171)Peak memory usage: 12 MB
% 7.61/1.65 % (2851171)Instructions burned: 180 (million)
% 7.61/1.65 % (2851175)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=981350224:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.61/1.65 % TRYING [1]
% 7.61/1.65 % TRYING [2]
% 7.61/1.65 % TRYING [3]
% 7.61/1.65 % TRYING [4]
% 7.61/1.65 % TRYING [5]
% 7.61/1.65 % TRYING [6]
% 7.61/1.65 % (2851165)Instruction limit reached!
% 7.61/1.65 % (2851165)------------------------------
% 7.61/1.65 % (2851165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851165)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851165)Termination reason: Instruction limit
% 7.61/1.65 % (2851165)Termination phase: Finite model building constraint generation
% 7.61/1.65 % (2851165)Time elapsed: 0.189 s
% 7.61/1.65 % (2851165)Peak memory usage: 25 MB
% 7.61/1.65 % (2851165)Instructions burned: 715 (million)
% 7.61/1.65 % (2851173)Instruction limit reached!
% 7.61/1.65 % (2851173)------------------------------
% 7.61/1.65 % (2851173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851173)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851173)Termination reason: Instruction limit
% 7.61/1.65 % (2851173)Termination phase: Saturation
% 7.61/1.65 % (2851173)Time elapsed: 0.138 s
% 7.61/1.65 % (2851173)Peak memory usage: 15 MB
% 7.61/1.65 % (2851173)Instructions burned: 478 (million)
% 7.61/1.65 % (2851167)Instruction limit reached!
% 7.61/1.65 % (2851167)------------------------------
% 7.61/1.65 % (2851167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851167)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851167)Termination reason: Instruction limit
% 7.61/1.65 % (2851167)Termination phase: Saturation
% 7.61/1.65 % (2851167)Time elapsed: 0.195 s
% 7.61/1.65 % (2851167)Peak memory usage: 18 MB
% 7.61/1.65 % (2851167)Instructions burned: 685 (million)
% 7.61/1.65 % (2851177)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3742442720:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.61/1.65 % (2851178)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3153416549:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 7.61/1.65 % (2851180)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=4090396046:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 7.61/1.65 % TRYING [6]
% 7.61/1.65 % TRYING [14]
% 7.61/1.65 % (2851175)Instruction limit reached!
% 7.61/1.65 % (2851175)------------------------------
% 7.61/1.65 % (2851175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851175)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851175)Termination reason: Instruction limit
% 7.61/1.65 % (2851175)Termination phase: Finite model building SAT solving
% 7.61/1.65 % (2851175)Time elapsed: 0.226 s
% 7.61/1.65 % (2851175)Peak memory usage: 22 MB
% 7.61/1.65 % (2851175)Instructions burned: 867 (million)
% 7.61/1.65 % (2851185)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3367116591:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 7.61/1.65 % (2851178)Instruction limit reached!
% 7.61/1.65 % (2851178)------------------------------
% 7.61/1.65 % (2851178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851178)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851178)Termination reason: Instruction limit
% 7.61/1.65 % (2851178)Termination phase: Finite model building constraint generation
% 7.61/1.65 % (2851178)Time elapsed: 0.190 s
% 7.61/1.65 % (2851178)Peak memory usage: 82 MB
% 7.61/1.65 % (2851178)Instructions burned: 893 (million)
% 7.61/1.65 % (2851212)fmb+10_1_sil=64000:random_seed=2581467722:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 7.61/1.65 % TRYING [1]
% 7.61/1.65 % TRYING [2]
% 7.61/1.65 % TRYING [3]
% 7.61/1.65 % TRYING [4]
% 7.61/1.65 % (2851180)Instruction limit reached!
% 7.61/1.65 % (2851180)------------------------------
% 7.61/1.65 % (2851180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851180)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851180)Termination reason: Instruction limit
% 7.61/1.65 % (2851180)Termination phase: Saturation
% 7.61/1.65 % (2851180)Time elapsed: 0.241 s
% 7.61/1.65 % (2851180)Peak memory usage: 16 MB
% 7.61/1.65 % (2851180)Instructions burned: 693 (million)
% 7.61/1.65 % TRYING [5]
% 7.61/1.65 % (2851232)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1849385186:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 7.61/1.65 % TRYING [20]
% 7.61/1.65 % TRYING [7]
% 7.61/1.65 % TRYING [6]
% 7.61/1.65 % (2851177)Instruction limit reached!
% 7.61/1.65 % (2851177)------------------------------
% 7.61/1.65 % (2851177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851177)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851177)Termination reason: Instruction limit
% 7.61/1.65 % (2851177)Termination phase: Saturation
% 7.61/1.65 % (2851177)Time elapsed: 0.369 s
% 7.61/1.65 % (2851177)Peak memory usage: 21 MB
% 7.61/1.65 % (2851177)Instructions burned: 1181 (million)
% 7.61/1.65 % (2851276)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1367718943:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 7.61/1.65 % (2851185)Instruction limit reached!
% 7.61/1.65 % (2851185)------------------------------
% 7.61/1.65 % (2851185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851185)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851185)Termination reason: Instruction limit
% 7.61/1.65 % (2851185)Termination phase: Saturation
% 7.61/1.65 % (2851185)Time elapsed: 0.250 s
% 7.61/1.65 % (2851185)Peak memory usage: 18 MB
% 7.61/1.65 % (2851185)Instructions burned: 880 (million)
% 7.61/1.65 % TRYING [8]
% 7.61/1.65 % (2851284)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1201333787:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 7.61/1.65 % (2851276)Instruction limit reached!
% 7.61/1.65 % (2851276)------------------------------
% 7.61/1.65 % (2851276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851276)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851276)Termination reason: Instruction limit
% 7.61/1.65 % (2851276)Termination phase: Finite model building SAT solving
% 7.61/1.65 % (2851276)Time elapsed: 0.211 s
% 7.61/1.65 % (2851276)Peak memory usage: 65 MB
% 7.61/1.65 % (2851276)Instructions burned: 920 (million)
% 7.61/1.65 % (2851347)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1802828293:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 7.61/1.65 % TRYING [7]
% 7.61/1.65 % (2851284) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2851146-2851284"...
% 7.61/1.65 % (2851284)...printing done.
% 7.61/1.65 % (2851284)Refutation found. Thanks to Tanya!
% 7.61/1.65 % SZS status Theorem for theBenchmark
% 7.61/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 7.61/1.65 % (2851284)------------------------------
% 7.61/1.65 % (2851284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.61/1.65 % (2851284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.65 % (2851284)CaDiCaL version: 2.1.3
% 7.61/1.65 % (2851284)Termination reason: Refutation
% 7.61/1.65 % (2851284)Time elapsed: 0.497 s
% 7.61/1.65 % (2851284)Peak memory usage: 28 MB
% 7.61/1.65 % (2851284)Instructions burned: 1682 (million)
% 7.61/1.65 % (2851146)Success in time 1.238 s
% 7.61/1.65 % Vampire exiting
%------------------------------------------------------------------------------