%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL025+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:51 PM UTC 2026
% Result : Theorem 27.09s 5.10s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 15
% Syntax : Number of formulae : 307 ( 292 unt; 2 def)
% Number of atoms : 330 ( 312 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 15 ~; 11 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 439 ( 0 sgn 438 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] :
( ( join(X0,one) = one
=> join(converse(X0),X0) = X0 )
& ( join(X0,one) = one
=> join(X0,converse(X0)) = converse(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( ( join(X0,one) = one
=> join(converse(X0),X0) = X0 )
& ( join(X0,one) = one
=> join(X0,converse(X0)) = converse(X0) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( ( join(converse(X0),X0) != X0
& join(X0,one) = one )
| ( converse(X0) != join(X0,converse(X0))
& join(X0,one) = one ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( sK0 != join(converse(sK0),sK0)
& one = join(sK0,one) )
| ( converse(sK0) != join(sK0,converse(sK0))
& one = join(sK0,one) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
( one = join(sK0,one)
| one = join(sK0,one) ),
inference(cnf_transformation,[],[f17]) ).
fof(f21,plain,
( sK0 != join(converse(sK0),sK0)
| converse(sK0) != join(sK0,converse(sK0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f22,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f26]) ).
fof(f36,plain,
one = join(sK0,one),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f37,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f27,f29]) ).
fof(f38,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f23,f29]) ).
fof(f39,plain,
( sK0 != join(sK0,converse(sK0))
| converse(sK0) != join(sK0,converse(sK0)) ),
inference(forward_demodulation,[],[f21,f29]) ).
fof(f41,definition,
( spl1_1
<=> converse(sK0) = join(sK0,converse(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f42,plain,
( converse(sK0) != join(sK0,converse(sK0))
| spl1_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl1_2
<=> sK0 = join(sK0,converse(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f45,plain,
( sK0 != join(sK0,converse(sK0))
| spl1_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f39,f44,f41]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f24,f32]) ).
fof(f48,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f24,f32]) ).
fof(f75,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f29,f28]) ).
fof(f101,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f31,f32]) ).
fof(f103,plain,
! [X2,X0,X1] : converse(composition(X2,join(X0,converse(X1)))) = composition(join(converse(X0),X1),converse(X2)),
inference(superposition,[],[f31,f48]) ).
fof(f104,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f31,f32]) ).
fof(f108,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f28,f22]) ).
fof(f110,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f47,f22]) ).
fof(f123,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f104,f30]) ).
fof(f135,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f123,f32]) ).
fof(f146,plain,
one = converse(one),
inference(superposition,[],[f30,f135]) ).
fof(f149,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f135,f146]) ).
fof(f164,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(superposition,[],[f38,f149]) ).
fof(f165,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f164,f135]) ).
fof(f193,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f37,f29]) ).
fof(f197,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f37,f37]) ).
fof(f200,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f37,f29]) ).
fof(f201,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f28,f37]) ).
fof(f203,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f197,f29]) ).
fof(f207,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f203,f29]) ).
fof(f210,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f207,f28]) ).
fof(f214,plain,
zero = complement(top),
inference(superposition,[],[f35,f22]) ).
fof(f277,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,join(X1,X2))) = join(X1,join(join(X2,X0),X3)),
inference(superposition,[],[f75,f75]) ).
fof(f306,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,join(X1,X2))) = join(X1,join(X2,join(X0,X3))),
inference(forward_demodulation,[],[f277,f28]) ).
fof(f322,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f25,f149]) ).
fof(f323,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f25,f31]) ).
fof(f342,plain,
! [X2,X0,X1] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = converse(composition(X0,join(X1,converse(X2)))),
inference(forward_demodulation,[],[f323,f103]) ).
fof(f358,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,converse(converse(X1))))) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f342,f31]) ).
fof(f370,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,converse(converse(X1))))) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f358,f24]) ).
fof(f383,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f370,f32]) ).
fof(f523,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f108,f165]) ).
fof(f525,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,complement(join(complement(X1),complement(X0)))),
inference(superposition,[],[f108,f200]) ).
fof(f527,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f108,f29]) ).
fof(f549,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f525,f29]) ).
fof(f551,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f523,f22]) ).
fof(f557,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f549,f108]) ).
fof(f561,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f557,f551]) ).
fof(f579,plain,
top = converse(top),
inference(superposition,[],[f110,f561]) ).
fof(f634,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))),
inference(superposition,[],[f210,f108]) ).
fof(f651,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f634,f551]) ).
fof(f665,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),zero),
inference(forward_demodulation,[],[f651,f214]) ).
fof(f674,plain,
! [X0] : join(complement(X0),complement(X0)) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f665,f29]) ).
fof(f682,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f674,f165]) ).
fof(f721,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),complement(complement(X0))))),
inference(superposition,[],[f193,f35]) ).
fof(f734,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(superposition,[],[f193,f35]) ).
fof(f750,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f734,f29]) ).
fof(f761,plain,
! [X0] : complement(X0) = complement(join(complement(complement(X0)),complement(complement(X0)))),
inference(forward_demodulation,[],[f721,f682]) ).
fof(f771,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(forward_demodulation,[],[f750,f682]) ).
fof(f781,plain,
! [X0] : complement(X0) = complement(complement(complement(X0))),
inference(forward_demodulation,[],[f761,f165]) ).
fof(f789,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f771,f165]) ).
fof(f807,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f37,f789]) ).
fof(f809,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(superposition,[],[f38,f789]) ).
fof(f811,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f165,f789]) ).
fof(f815,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f200,f789]) ).
fof(f819,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f682,f789]) ).
fof(f920,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f29,f819]) ).
fof(f1200,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f815,f29]) ).
fof(f1562,plain,
! [X0,X1] : join(complement(join(top,X0)),complement(join(complement(X1),complement(join(X0,complement(complement(X1))))))) = X1,
inference(superposition,[],[f37,f527]) ).
fof(f1568,plain,
! [X0,X1] : join(complement(join(top,X0)),complement(join(complement(X1),complement(join(X0,X1))))) = X1,
inference(forward_demodulation,[],[f1562,f789]) ).
fof(f1599,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X1),complement(join(X0,X1))))) = X1,
inference(forward_demodulation,[],[f1568,f561]) ).
fof(f1618,plain,
! [X0,X1] : join(zero,complement(join(complement(X1),complement(join(X0,X1))))) = X1,
inference(forward_demodulation,[],[f1599,f214]) ).
fof(f1635,plain,
! [X0,X1] : complement(join(complement(X1),complement(join(X0,X1)))) = X1,
inference(forward_demodulation,[],[f1618,f682]) ).
fof(f1994,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f201,f37]) ).
fof(f2005,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f201,f811]) ).
fof(f2051,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f2005,f37]) ).
fof(f2062,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),complement(complement(X1))))),
inference(forward_demodulation,[],[f1994,f29]) ).
fof(f2120,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f2062,f2051]) ).
fof(f2257,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f2120,f789]) ).
fof(f2269,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f2120,f815]) ).
fof(f2273,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f2120,f29]) ).
fof(f2347,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f2269,f28]) ).
fof(f2379,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f2347,f789]) ).
fof(f2409,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f2257,f29]) ).
fof(f2442,plain,
complement(sK0) = join(complement(sK0),complement(one)),
inference(superposition,[],[f2257,f36]) ).
fof(f2859,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(join(X1,X0),X2)),
inference(superposition,[],[f75,f2379]) ).
fof(f2871,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(join(X1,complement(X0)),X0)),complement(join(complement(X0),X1))),
inference(superposition,[],[f815,f2379]) ).
fof(f2881,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(join(X1,complement(X0)),X0))),
inference(forward_demodulation,[],[f2871,f29]) ).
fof(f2887,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X0,join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f2859,f28]) ).
fof(f2920,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(X0,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f2881,f29]) ).
fof(f2947,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(top,X1))),
inference(forward_demodulation,[],[f2920,f527]) ).
fof(f2964,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(top,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f2947,f29]) ).
fof(f2971,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(top),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f2964,f561]) ).
fof(f2977,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(zero,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f2971,f214]) ).
fof(f2983,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f2977,f682]) ).
fof(f2995,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(superposition,[],[f2983,f789]) ).
fof(f2997,plain,
! [X2,X0,X1] : complement(join(complement(X2),join(X0,X1))) = complement(join(X0,join(X1,complement(X2)))),
inference(superposition,[],[f2983,f28]) ).
fof(f4173,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(join(X0,X1),complement(join(X0,complement(X1))))),complement(complement(X0))),
inference(superposition,[],[f1200,f807]) ).
fof(f4175,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(join(X0,X1),complement(join(complement(X1),X0)))),complement(complement(X0))),
inference(superposition,[],[f1200,f815]) ).
fof(f4266,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f4175,f29]) ).
fof(f4268,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f4173,f29]) ).
fof(f4353,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f4266,f28]) ).
fof(f4355,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f4268,f28]) ).
fof(f4413,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(X0,X1))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f4353,f2120]) ).
fof(f4415,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f4355,f2273]) ).
fof(f4455,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f4413,f789]) ).
fof(f4457,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f4415,f789]) ).
fof(f4478,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f4455,f789]) ).
fof(f4480,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f4457,f789]) ).
fof(f4524,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = join(X0,complement(converse(top))),
inference(superposition,[],[f4478,f110]) ).
fof(f4670,plain,
! [X0] : join(X0,complement(top)) = join(complement(converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[],[f4524,f579]) ).
fof(f4725,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4670,f29]) ).
fof(f4765,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4725,f214]) ).
fof(f4797,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f4765,f920]) ).
fof(f4873,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f1200,f4797]) ).
fof(f4876,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f47,f4797]) ).
fof(f4885,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f4876,f32]) ).
fof(f4888,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f4873,f29]) ).
fof(f4912,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f4888,f789]) ).
fof(f4925,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f4912,f4478]) ).
fof(f4931,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f4925,f29]) ).
fof(f4936,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f4931,f789]) ).
fof(f4940,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f4936,f4885]) ).
fof(f5761,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f4940,f789]) ).
fof(f5772,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f32,f4940]) ).
fof(f5821,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f32,f5761]) ).
fof(f5944,plain,
! [X0,X1] : converse(join(X1,X0)) = complement(converse(complement(join(X0,X1)))),
inference(superposition,[],[f5772,f2995]) ).
fof(f6029,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(forward_demodulation,[],[f5944,f5772]) ).
fof(f7919,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f383]) ).
fof(f7952,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f7919,f32]) ).
fof(f8002,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f7952,f30]) ).
fof(f8007,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f7952,f30]) ).
fof(f8058,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(X0,composition(X0,X1)),
inference(forward_demodulation,[],[f8007,f29]) ).
fof(f8089,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f8002,f22]) ).
fof(f8240,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f8058,f36]) ).
fof(f8336,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f8240,f30]) ).
fof(f8415,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f47,f8336]) ).
fof(f8417,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f8415,f104]) ).
fof(f8445,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f8417,f32]) ).
fof(f8470,plain,
one = join(one,converse(sK0)),
inference(superposition,[],[f8445,f30]) ).
fof(f8478,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(converse(sK0),X0),X1)),
inference(superposition,[],[f28,f8445]) ).
fof(f8503,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f8002,f8445]) ).
fof(f8508,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f8503,f30]) ).
fof(f8533,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f8508,f30]) ).
fof(f8598,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f47,f8533]) ).
fof(f8603,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f8598,f104]) ).
fof(f8633,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f8603,f32]) ).
fof(f8648,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f8633,f32]) ).
fof(f8670,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f28,f8648]) ).
fof(f8689,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(X0,composition(sK0,complement(X0)))),complement(complement(X0))),
inference(superposition,[],[f1200,f8648]) ).
fof(f8703,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f8689,f29]) ).
fof(f8720,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f8703,f789]) ).
fof(f8728,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),X0),
inference(forward_demodulation,[],[f8720,f4478]) ).
fof(f8732,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f8728,f29]) ).
fof(f8740,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f8670,f7952]) ).
fof(f8934,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f8740,f22]) ).
fof(f8935,plain,
! [X0,X1] : join(X0,composition(sK0,X0)) = join(X0,composition(sK0,complement(join(complement(X0),X1)))),
inference(superposition,[],[f8740,f2120]) ).
fof(f8959,plain,
! [X0,X1] : join(complement(X0),composition(sK0,complement(X0))) = join(complement(X0),composition(sK0,complement(join(X0,X1)))),
inference(superposition,[],[f8740,f2257]) ).
fof(f8960,plain,
! [X0,X1] : join(complement(X0),composition(sK0,complement(X0))) = join(complement(X0),composition(sK0,complement(join(X1,X0)))),
inference(superposition,[],[f8740,f2409]) ).
fof(f9067,plain,
! [X0,X1] : join(complement(X0),composition(sK0,complement(join(X1,X0)))) = composition(join(one,sK0),complement(X0)),
inference(forward_demodulation,[],[f8960,f322]) ).
fof(f9068,plain,
! [X0,X1] : join(complement(X0),composition(sK0,complement(join(X0,X1)))) = composition(join(one,sK0),complement(X0)),
inference(forward_demodulation,[],[f8959,f322]) ).
fof(f9087,plain,
! [X0,X1] : join(X0,composition(sK0,complement(join(complement(X0),X1)))) = X0,
inference(forward_demodulation,[],[f8935,f8648]) ).
fof(f9109,plain,
! [X0,X1] : join(complement(X0),composition(sK0,complement(join(X1,X0)))) = composition(join(sK0,one),complement(X0)),
inference(forward_demodulation,[],[f9067,f29]) ).
fof(f9110,plain,
! [X0,X1] : join(complement(X0),composition(sK0,complement(join(X0,X1)))) = composition(join(sK0,one),complement(X0)),
inference(forward_demodulation,[],[f9068,f29]) ).
fof(f9125,plain,
! [X0,X1] : composition(one,complement(X0)) = join(complement(X0),composition(sK0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f9109,f36]) ).
fof(f9126,plain,
! [X0,X1] : composition(one,complement(X0)) = join(complement(X0),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f9110,f36]) ).
fof(f9136,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(sK0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f9125,f149]) ).
fof(f9137,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f9126,f149]) ).
fof(f9175,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f4480,f8934]) ).
fof(f9215,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f9175,f4478]) ).
fof(f9250,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f9215,f8732]) ).
fof(f9427,plain,
! [X0,X1] : join(complement(composition(sK0,top)),join(X0,X1)) = join(complement(composition(sK0,complement(X0))),X1),
inference(superposition,[],[f28,f9250]) ).
fof(f9429,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,top))),
inference(superposition,[],[f29,f9250]) ).
fof(f9455,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,join(complement(composition(sK0,top)),X0)),
inference(superposition,[],[f75,f9250]) ).
fof(f9516,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f9455,f9250]) ).
fof(f9534,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(X0))),X1),
inference(forward_demodulation,[],[f9427,f9250]) ).
fof(f9820,plain,
! [X0,X1] : join(X0,join(complement(composition(sK0,top)),X1)) = join(complement(composition(sK0,complement(X0))),X1),
inference(superposition,[],[f28,f9429]) ).
fof(f9908,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),X1) = join(X0,complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f9820,f9250]) ).
fof(f11633,plain,
! [X0,X1] : join(X0,composition(converse(sK0),X1)) = join(X0,composition(converse(sK0),join(X0,X1))),
inference(superposition,[],[f8478,f7952]) ).
fof(f12849,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),X1) = join(complement(X0),complement(composition(sK0,complement(X1)))),
inference(superposition,[],[f9908,f789]) ).
fof(f12953,plain,
! [X0,X1] : join(X1,complement(composition(sK0,complement(X0)))) = join(X1,join(X0,complement(composition(sK0,complement(X1))))),
inference(superposition,[],[f2379,f9908]) ).
fof(f12956,plain,
! [X0,X1] : complement(join(X1,complement(composition(sK0,complement(X0))))) = complement(join(X0,complement(composition(sK0,complement(X1))))),
inference(superposition,[],[f2995,f9908]) ).
fof(f15014,plain,
! [X0] : join(X0,complement(composition(X0,top))) = join(X0,complement(composition(X0,complement(one)))),
inference(superposition,[],[f4480,f8089]) ).
fof(f15147,plain,
join(complement(sK0),composition(sK0,complement(one))) = join(complement(sK0),composition(sK0,complement(sK0))),
inference(superposition,[],[f8740,f2442]) ).
fof(f15152,plain,
join(complement(sK0),composition(sK0,complement(one))) = composition(join(one,sK0),complement(sK0)),
inference(forward_demodulation,[],[f15147,f322]) ).
fof(f15182,plain,
join(complement(sK0),composition(sK0,complement(one))) = composition(join(sK0,one),complement(sK0)),
inference(forward_demodulation,[],[f15152,f29]) ).
fof(f15200,plain,
composition(one,complement(sK0)) = join(complement(sK0),composition(sK0,complement(one))),
inference(forward_demodulation,[],[f15182,f36]) ).
fof(f15212,plain,
complement(sK0) = join(complement(sK0),composition(sK0,complement(one))),
inference(forward_demodulation,[],[f15200,f149]) ).
fof(f15241,plain,
complement(composition(sK0,complement(one))) = join(complement(join(sK0,composition(sK0,complement(one)))),complement(complement(sK0))),
inference(superposition,[],[f1200,f15212]) ).
fof(f15254,plain,
composition(sK0,complement(one)) = complement(join(complement(composition(sK0,complement(one))),complement(complement(sK0)))),
inference(superposition,[],[f1635,f15212]) ).
fof(f15269,plain,
composition(sK0,complement(one)) = complement(join(complement(complement(sK0)),complement(composition(sK0,complement(one))))),
inference(forward_demodulation,[],[f15254,f2983]) ).
fof(f15277,plain,
complement(composition(sK0,complement(one))) = join(complement(complement(sK0)),complement(join(sK0,composition(sK0,complement(one))))),
inference(forward_demodulation,[],[f15241,f29]) ).
fof(f15289,plain,
composition(sK0,complement(one)) = complement(join(one,complement(composition(sK0,complement(complement(complement(sK0))))))),
inference(forward_demodulation,[],[f15269,f12956]) ).
fof(f15294,plain,
complement(composition(sK0,complement(one))) = join(complement(complement(sK0)),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f15277,f8089]) ).
fof(f15303,plain,
composition(sK0,complement(one)) = complement(join(one,complement(composition(sK0,complement(sK0))))),
inference(forward_demodulation,[],[f15289,f781]) ).
fof(f15308,plain,
complement(composition(sK0,complement(one))) = complement(composition(sK0,complement(complement(complement(sK0))))),
inference(forward_demodulation,[],[f15294,f9429]) ).
fof(f15315,plain,
composition(sK0,complement(one)) = complement(join(sK0,complement(composition(sK0,complement(one))))),
inference(forward_demodulation,[],[f15303,f12956]) ).
fof(f15318,plain,
complement(composition(sK0,complement(one))) = complement(composition(sK0,complement(sK0))),
inference(forward_demodulation,[],[f15308,f781]) ).
fof(f15323,plain,
composition(sK0,complement(one)) = complement(join(sK0,complement(composition(sK0,top)))),
inference(forward_demodulation,[],[f15315,f15014]) ).
fof(f15328,plain,
composition(sK0,complement(one)) = complement(complement(composition(sK0,complement(sK0)))),
inference(forward_demodulation,[],[f15323,f9429]) ).
fof(f15331,plain,
composition(sK0,complement(sK0)) = composition(sK0,complement(one)),
inference(forward_demodulation,[],[f15328,f789]) ).
fof(f15366,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(join(X1,complement(X0)),complement(composition(sK0,complement(join(complement(X0),X1))))),
inference(superposition,[],[f8732,f2983]) ).
fof(f15479,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(X1,join(complement(X0),complement(composition(sK0,complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f15366,f28]) ).
fof(f15520,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(X1,join(complement(composition(sK0,X0)),join(complement(X0),X1))),
inference(forward_demodulation,[],[f15479,f12849]) ).
fof(f15541,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(X1,join(complement(X0),join(X1,complement(composition(sK0,X0))))),
inference(forward_demodulation,[],[f15520,f306]) ).
fof(f15559,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,X0)),join(X1,complement(X0))),
inference(forward_demodulation,[],[f15541,f2887]) ).
fof(f15572,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(X0),join(complement(composition(sK0,X0)),X1)),
inference(forward_demodulation,[],[f15559,f75]) ).
fof(f15581,plain,
! [X0,X1] : join(X1,complement(composition(sK0,complement(complement(X0))))) = join(complement(X0),join(complement(composition(sK0,X0)),X1)),
inference(forward_demodulation,[],[f15572,f9516]) ).
fof(f15584,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),join(complement(composition(sK0,X0)),X1)),
inference(forward_demodulation,[],[f15581,f789]) ).
fof(f15630,plain,
! [X2,X0,X1] : converse(converse(composition(X0,join(X1,converse(X2))))) = converse(join(composition(X2,converse(X0)),converse(composition(X0,X1)))),
inference(superposition,[],[f6029,f342]) ).
fof(f15728,plain,
! [X2,X0,X1] : converse(converse(composition(X0,join(X1,converse(X2))))) = join(converse(composition(X2,converse(X0))),composition(X0,X1)),
inference(forward_demodulation,[],[f15630,f48]) ).
fof(f15768,plain,
! [X2,X0,X1] : converse(converse(composition(X0,join(X1,converse(X2))))) = join(composition(X0,converse(X2)),composition(X0,X1)),
inference(forward_demodulation,[],[f15728,f101]) ).
fof(f15790,plain,
! [X2,X0,X1] : composition(X0,join(converse(X2),X1)) = converse(converse(composition(X0,join(X1,converse(X2))))),
inference(forward_demodulation,[],[f15768,f7952]) ).
fof(f15801,plain,
! [X2,X0,X1] : composition(X0,join(converse(X2),X1)) = composition(X0,join(X1,converse(X2))),
inference(forward_demodulation,[],[f15790,f32]) ).
fof(f16679,plain,
! [X2,X0,X1] : composition(X1,join(X0,X2)) = composition(X1,join(X2,X0)),
inference(superposition,[],[f15801,f32]) ).
fof(f16909,plain,
! [X2,X0,X1] : composition(X2,join(X1,complement(composition(sK0,complement(X0))))) = composition(X2,join(X0,complement(composition(sK0,complement(X1))))),
inference(superposition,[],[f16679,f9908]) ).
fof(f19536,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,complement(join(complement(X0),X1)))),complement(X0)),
inference(superposition,[],[f2409,f9087]) ).
fof(f19594,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(X0),complement(composition(sK0,complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f19536,f29]) ).
fof(f19675,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(composition(sK0,X0)),join(complement(X0),X1)),
inference(forward_demodulation,[],[f19594,f12849]) ).
fof(f19710,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(complement(X0),join(X1,complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f19675,f75]) ).
fof(f19731,plain,
! [X0,X1] : join(X1,complement(composition(sK0,complement(complement(X0))))) = join(complement(X0),join(X1,complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f19710,f9516]) ).
fof(f19740,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),join(X1,complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f19731,f789]) ).
fof(f19894,plain,
! [X0,X1] : composition(sK0,complement(join(X0,X1))) = complement(join(complement(composition(sK0,complement(join(X0,X1)))),complement(complement(X0)))),
inference(superposition,[],[f1635,f9137]) ).
fof(f19909,plain,
! [X0,X1] : composition(sK0,complement(join(X0,X1))) = complement(join(complement(complement(X0)),complement(composition(sK0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f19894,f2983]) ).
fof(f19975,plain,
! [X0,X1] : composition(sK0,complement(join(X0,X1))) = complement(join(complement(composition(sK0,complement(X0))),join(X0,X1))),
inference(forward_demodulation,[],[f19909,f12849]) ).
fof(f20014,plain,
! [X0,X1] : composition(sK0,complement(join(X0,X1))) = complement(join(X0,join(X1,complement(composition(sK0,complement(X0)))))),
inference(forward_demodulation,[],[f19975,f2997]) ).
fof(f20037,plain,
! [X0,X1] : composition(sK0,complement(join(X0,X1))) = complement(join(X0,complement(composition(sK0,complement(X1))))),
inference(forward_demodulation,[],[f20014,f12953]) ).
fof(f21532,plain,
! [X0,X1] : complement(composition(sK0,X0)) = join(complement(composition(sK0,complement(complement(X0)))),complement(join(X1,X0))),
inference(superposition,[],[f9534,f1635]) ).
fof(f21656,plain,
! [X0,X1] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,complement(complement(join(X1,X0)))))),
inference(forward_demodulation,[],[f21532,f9908]) ).
fof(f21806,plain,
! [X0,X1] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f21656,f12849]) ).
fof(f22951,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X1,complement(X0))))) = join(complement(composition(sK0,complement(join(X1,complement(X0))))),complement(X0)),
inference(superposition,[],[f21806,f2273]) ).
fof(f23008,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sK0,complement(join(complement(X0),complement(X1))))),complement(X0)),
inference(superposition,[],[f21806,f193]) ).
fof(f23192,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(X0),complement(composition(sK0,complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f23008,f29]) ).
fof(f23241,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X1,complement(X0))))) = join(complement(X0),complement(composition(sK0,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[],[f22951,f29]) ).
fof(f23298,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(composition(sK0,X0)),join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f23192,f12849]) ).
fof(f23331,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X1,complement(X0))))) = join(complement(composition(sK0,X0)),join(X1,complement(X0))),
inference(forward_demodulation,[],[f23241,f12849]) ).
fof(f23371,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(X0),join(complement(X1),complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f23298,f75]) ).
fof(f23395,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X1,complement(X0))))) = join(complement(X0),join(complement(composition(sK0,X0)),X1)),
inference(forward_demodulation,[],[f23331,f75]) ).
fof(f23426,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),complement(X1))))) = join(complement(X1),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f23371,f19740]) ).
fof(f23446,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = complement(composition(sK0,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f23395,f15584]) ).
fof(f23469,plain,
! [X0,X1] : join(complement(X1),complement(composition(sK0,complement(complement(X0))))) = join(complement(X1),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f23426,f9516]) ).
fof(f23484,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f23446,f9516]) ).
fof(f23501,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),complement(X0)) = join(complement(X1),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f23469,f12849]) ).
fof(f23552,plain,
! [X0,X1] : join(converse(X0),complement(composition(sK0,complement(X1)))) = join(X1,complement(composition(sK0,converse(complement(X0))))),
inference(superposition,[],[f23484,f5772]) ).
fof(f23628,plain,
! [X0,X1] : complement(join(complement(composition(sK0,complement(X0))),complement(X1))) = complement(join(X0,complement(composition(sK0,X1)))),
inference(superposition,[],[f2995,f23484]) ).
fof(f23676,plain,
! [X0,X1] : complement(join(X0,complement(composition(sK0,complement(complement(X1)))))) = complement(join(X0,complement(composition(sK0,X1)))),
inference(forward_demodulation,[],[f23628,f9908]) ).
fof(f23755,plain,
! [X0,X1] : composition(sK0,complement(join(X0,complement(X1)))) = complement(join(X0,complement(composition(sK0,X1)))),
inference(forward_demodulation,[],[f23676,f20037]) ).
fof(f23988,plain,
! [X0,X1] : complement(join(complement(X0),complement(composition(sK0,X1)))) = complement(join(complement(X1),complement(composition(sK0,X0)))),
inference(superposition,[],[f2995,f23501]) ).
fof(f27322,plain,
complement(converse(sK0)) = join(complement(converse(sK0)),composition(sK0,complement(one))),
inference(superposition,[],[f9136,f8470]) ).
fof(f27420,plain,
complement(converse(sK0)) = join(complement(converse(sK0)),composition(sK0,complement(sK0))),
inference(forward_demodulation,[],[f27322,f15331]) ).
fof(f27523,plain,
converse(complement(sK0)) = join(converse(complement(sK0)),composition(sK0,complement(sK0))),
inference(forward_demodulation,[],[f27420,f5821]) ).
fof(f33101,plain,
composition(sK0,complement(sK0)) = complement(join(complement(composition(sK0,complement(sK0))),complement(converse(complement(sK0))))),
inference(superposition,[],[f1635,f27523]) ).
fof(f33132,plain,
composition(sK0,complement(sK0)) = complement(join(complement(converse(complement(sK0))),complement(composition(sK0,complement(sK0))))),
inference(forward_demodulation,[],[f33101,f2983]) ).
fof(f33152,plain,
composition(sK0,complement(sK0)) = complement(join(complement(complement(sK0)),complement(composition(sK0,converse(complement(sK0)))))),
inference(forward_demodulation,[],[f33132,f23988]) ).
fof(f33168,plain,
composition(sK0,complement(sK0)) = complement(join(converse(sK0),complement(composition(sK0,complement(complement(complement(sK0))))))),
inference(forward_demodulation,[],[f33152,f23552]) ).
fof(f33181,plain,
composition(sK0,complement(sK0)) = composition(sK0,complement(join(converse(sK0),complement(complement(sK0))))),
inference(forward_demodulation,[],[f33168,f20037]) ).
fof(f33191,plain,
composition(sK0,complement(sK0)) = complement(join(converse(sK0),complement(composition(sK0,complement(sK0))))),
inference(forward_demodulation,[],[f33181,f23755]) ).
fof(f33197,plain,
composition(sK0,complement(sK0)) = complement(join(sK0,complement(composition(sK0,complement(converse(sK0)))))),
inference(forward_demodulation,[],[f33191,f12956]) ).
fof(f33200,plain,
composition(sK0,complement(sK0)) = composition(sK0,complement(join(sK0,converse(sK0)))),
inference(forward_demodulation,[],[f33197,f20037]) ).
fof(f33423,plain,
complement(complement(join(sK0,converse(sK0)))) = join(complement(complement(join(sK0,converse(sK0)))),composition(converse(sK0),complement(composition(sK0,complement(sK0))))),
inference(superposition,[],[f38,f33200]) ).
fof(f33438,plain,
join(sK0,converse(sK0)) = join(join(sK0,converse(sK0)),composition(converse(sK0),complement(composition(sK0,complement(sK0))))),
inference(forward_demodulation,[],[f33423,f789]) ).
fof(f33459,plain,
join(sK0,converse(sK0)) = join(sK0,join(converse(sK0),composition(converse(sK0),complement(composition(sK0,complement(sK0)))))),
inference(forward_demodulation,[],[f33438,f28]) ).
fof(f33473,plain,
join(sK0,converse(sK0)) = join(sK0,composition(converse(sK0),join(one,complement(composition(sK0,complement(sK0)))))),
inference(forward_demodulation,[],[f33459,f8002]) ).
fof(f33484,plain,
join(sK0,converse(sK0)) = join(sK0,composition(converse(sK0),join(sK0,complement(composition(sK0,complement(one)))))),
inference(forward_demodulation,[],[f33473,f16909]) ).
fof(f33492,plain,
join(sK0,converse(sK0)) = join(sK0,composition(converse(sK0),complement(composition(sK0,complement(one))))),
inference(forward_demodulation,[],[f33484,f11633]) ).
fof(f33498,plain,
join(sK0,converse(sK0)) = join(sK0,composition(converse(sK0),complement(composition(sK0,complement(sK0))))),
inference(forward_demodulation,[],[f33492,f15318]) ).
fof(f33501,plain,
sK0 = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f33498,f809]) ).
fof(f33506,plain,
converse(sK0) = join(converse(sK0),sK0),
inference(superposition,[],[f48,f33501]) ).
fof(f33552,plain,
converse(sK0) = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f33506,f29]) ).
fof(f33566,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f33552,f42]) ).
fof(f33567,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f33566]) ).
fof(f33584,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f45,f33501]) ).
fof(f33585,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f33584]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f33567]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f33585]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f33588,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL025+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 % Computer : n011.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sun Sep 27 22:52:15 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.54 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.49/4.81 % (2850125)Detected formulas, will run a generic FOF schedule.
% 24.49/4.81 % (2850130)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3322113604:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.49/4.81 % (2850131)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=884771390:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.49/4.81 % (2850132)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4046568934:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.49/4.81 % (2850133)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1008392484:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.49/4.81 % (2850134)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4113447605:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.49/4.81 % (2850136)dis-21_1_sil=8000:lcm=predicate:random_seed=211021080:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 24.49/4.81 % (2850135)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1985631352:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.49/4.81 % (2850136)Refutation not found, incomplete strategy
% 24.49/4.81 % (2850136)------------------------------
% 24.49/4.81 % (2850136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.49/4.81 % (2850136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/4.81 % (2850136)CaDiCaL version: 2.1.3
% 24.49/4.81 % (2850136)Termination reason: Refutation not found, incomplete strategy
% 24.49/4.81 % (2850136)Time elapsed: 0.003 s
% 24.49/4.81 % (2850136)Peak memory usage: 88 MB
% 24.49/4.81 % (2850136)Instructions burned: 1 (million)
% 24.49/4.81 % (2850133)Instruction limit reached!
% 24.49/4.81 % (2850133)------------------------------
% 24.49/4.81 % (2850133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.49/4.81 % (2850133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/4.81 % (2850133)CaDiCaL version: 2.1.3
% 24.49/4.81 % (2850133)Termination reason: Instruction limit
% 24.49/4.81 % (2850133)Termination phase: Saturation
% 24.49/4.81 % (2850133)Time elapsed: 0.098 s
% 24.49/4.81 % (2850133)Peak memory usage: 90 MB
% 24.49/4.81 % (2850133)Instructions burned: 109 (million)
% 24.49/4.81 % (2850134)Instruction limit reached!
% 24.49/4.81 % (2850134)------------------------------
% 24.49/4.81 % (2850134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.49/4.81 % (2850134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/4.81 % (2850134)CaDiCaL version: 2.1.3
% 24.49/4.81 % (2850134)Termination reason: Instruction limit
% 24.49/4.81 % (2850134)Termination phase: Saturation
% 24.49/4.81 % (2850134)Time elapsed: 0.110 s
% 24.49/4.81 % (2850134)Peak memory usage: 89 MB
% 24.49/4.81 % (2850134)Instructions burned: 119 (million)
% 24.49/4.81 % (2850135)Instruction limit reached!
% 24.49/4.81 % (2850135)------------------------------
% 24.49/4.81 % (2850135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.49/4.81 % (2850135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/4.81 % (2850135)CaDiCaL version: 2.1.3
% 24.49/4.81 % (2850135)Termination reason: Instruction limit
% 24.49/4.81 % (2850135)Termination phase: Saturation
% 24.49/4.81 % (2850135)Time elapsed: 0.141 s
% 24.49/4.81 % (2850135)Peak memory usage: 90 MB
% 24.49/4.81 % (2850135)Instructions burned: 139 (million)
% 24.49/4.81 % (2850144)lrs+10_1_sil=8000:sp=occurrence:random_seed=40989497:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 24.49/4.81 % (2850145)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2764109305:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 24.49/4.81 % (2850136)------------------------------
% 24.49/4.81 % (2850136)------------------------------
% 24.49/4.81 % (2850146)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2356232931:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 24.49/4.81 % (2850145)Instruction limit reached!
% 24.49/4.81 % (2850145)------------------------------
% 24.49/4.81 % (2850145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850145)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850145)Termination reason: Instruction limit
% 27.09/5.10 % (2850145)Termination phase: Saturation
% 27.09/5.10 % (2850145)Time elapsed: 0.150 s
% 27.09/5.10 % (2850145)Peak memory usage: 90 MB
% 27.09/5.10 % (2850145)Instructions burned: 157 (million)
% 27.09/5.10 % (2850144)Instruction limit reached!
% 27.09/5.10 % (2850144)------------------------------
% 27.09/5.10 % (2850144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850144)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850144)Termination reason: Instruction limit
% 27.09/5.10 % (2850144)Termination phase: Saturation
% 27.09/5.10 % (2850144)Time elapsed: 0.291 s
% 27.09/5.10 % (2850144)Peak memory usage: 92 MB
% 27.09/5.10 % (2850144)Instructions burned: 286 (million)
% 27.09/5.10 % (2850149)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2859276912:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 27.09/5.10 % (2850146)Instruction limit reached!
% 27.09/5.10 % (2850146)------------------------------
% 27.09/5.10 % (2850146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850146)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850146)Termination reason: Instruction limit
% 27.09/5.10 % (2850146)Termination phase: Saturation
% 27.09/5.10 % (2850146)Time elapsed: 0.328 s
% 27.09/5.10 % (2850146)Peak memory usage: 91 MB
% 27.09/5.10 % (2850146)Instructions burned: 325 (million)
% 27.09/5.10 % (2850151)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4053072769:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 27.09/5.10 % (2850152)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1657849818:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 27.09/5.10 % (2850149)Instruction limit reached!
% 27.09/5.10 % (2850149)------------------------------
% 27.09/5.10 % (2850149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850149)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850149)Termination reason: Instruction limit
% 27.09/5.10 % (2850149)Termination phase: Saturation
% 27.09/5.10 % (2850149)Time elapsed: 0.247 s
% 27.09/5.10 % (2850149)Peak memory usage: 92 MB
% 27.09/5.10 % (2850149)Instructions burned: 248 (million)
% 27.09/5.10 % (2850154)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1093783100:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 27.09/5.10 % (2850151)Instruction limit reached!
% 27.09/5.10 % (2850151)------------------------------
% 27.09/5.10 % (2850151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850151)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850151)Termination reason: Instruction limit
% 27.09/5.10 % (2850151)Termination phase: Saturation
% 27.09/5.10 % (2850151)Time elapsed: 0.295 s
% 27.09/5.10 % (2850151)Peak memory usage: 91 MB
% 27.09/5.10 % (2850151)Instructions burned: 294 (million)
% 27.09/5.10 % (2850154)Instruction limit reached!
% 27.09/5.10 % (2850154)------------------------------
% 27.09/5.10 % (2850154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850154)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850154)Termination reason: Instruction limit
% 27.09/5.10 % (2850154)Termination phase: Saturation
% 27.09/5.10 % (2850154)Time elapsed: 0.108 s
% 27.09/5.10 % (2850154)Peak memory usage: 90 MB
% 27.09/5.10 % (2850154)Instructions burned: 114 (million)
% 27.09/5.10 % (2850157)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=616216396:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 27.09/5.10 % (2850157)Refutation not found, incomplete strategy
% 27.09/5.10 % (2850157)------------------------------
% 27.09/5.10 % (2850157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850157)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850157)Termination reason: Refutation not found, incomplete strategy
% 27.09/5.10 % (2850157)Time elapsed: 0.002 s
% 27.09/5.10 % (2850157)Peak memory usage: 87 MB
% 27.09/5.10 % (2850159)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1346032927:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 27.09/5.10 % (2850160)lrs+10_1_sil=8000:sp=occurrence:random_seed=3471952188:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 27.09/5.10 % (2850159)Instruction limit reached!
% 27.09/5.10 % (2850159)------------------------------
% 27.09/5.10 % (2850159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850159)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850159)Termination reason: Instruction limit
% 27.09/5.10 % (2850159)Termination phase: Saturation
% 27.09/5.10 % (2850159)Time elapsed: 0.110 s
% 27.09/5.10 % (2850159)Peak memory usage: 89 MB
% 27.09/5.10 % (2850159)Instructions burned: 114 (million)
% 27.09/5.10 % (2850157)------------------------------
% 27.09/5.10 % (2850157)------------------------------
% 27.09/5.10 % (2850164)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1359475263:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 27.09/5.10 % (2850165)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3499879923:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 27.09/5.10 % (2850164)Instruction limit reached!
% 27.09/5.10 % (2850164)------------------------------
% 27.09/5.10 % (2850164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850164)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850164)Termination reason: Instruction limit
% 27.09/5.10 % (2850164)Termination phase: Saturation
% 27.09/5.10 % (2850164)Time elapsed: 0.378 s
% 27.09/5.10 % (2850164)Peak memory usage: 90 MB
% 27.09/5.10 % (2850164)Instructions burned: 437 (million)
% 27.09/5.10 % (2850160)Instruction limit reached!
% 27.09/5.10 % (2850160)------------------------------
% 27.09/5.10 % (2850160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850160)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850160)Termination reason: Instruction limit
% 27.09/5.10 % (2850160)Termination phase: Saturation
% 27.09/5.10 % (2850160)Time elapsed: 0.882 s
% 27.09/5.10 % (2850160)Peak memory usage: 96 MB
% 27.09/5.10 % (2850160)Instructions burned: 907 (million)
% 27.09/5.10 % (2850168)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2721822447:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 27.09/5.10 % (2850168)Refutation not found, incomplete strategy
% 27.09/5.10 % (2850168)------------------------------
% 27.09/5.10 % (2850168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850168)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850168)Termination reason: Refutation not found, incomplete strategy
% 27.09/5.10 % (2850168)Time elapsed: 0.003 s
% 27.09/5.10 % (2850168)Peak memory usage: 89 MB
% 27.09/5.10 % (2850168)Instructions burned: 1 (million)
% 27.09/5.10 % (2850169)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1669643960:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 27.09/5.10 % (2850168)------------------------------
% 27.09/5.10 % (2850168)------------------------------
% 27.09/5.10 % (2850172)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2343005994:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 27.09/5.10 % (2850169)Instruction limit reached!
% 27.09/5.10 % (2850169)------------------------------
% 27.09/5.10 % (2850169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850169)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850169)Termination reason: Instruction limit
% 27.09/5.10 % (2850169)Termination phase: Saturation
% 27.09/5.10 % (2850169)Time elapsed: 0.504 s
% 27.09/5.10 % (2850169)Peak memory usage: 96 MB
% 27.09/5.10 % (2850169)Instructions burned: 593 (million)
% 27.09/5.10 % (2850131)First to succeed.
% 27.09/5.10 % (2850131)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2850125"
% 27.09/5.10 % (2850152)Instruction limit reached!
% 27.09/5.10 % (2850152)------------------------------
% 27.09/5.10 % (2850152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850152)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850152)Termination reason: Instruction limit
% 27.09/5.10 % (2850152)Termination phase: Saturation
% 27.09/5.10 % (2850152)Time elapsed: 2.340 s
% 27.09/5.10 % (2850152)Peak memory usage: 142 MB
% 27.09/5.10 % (2850152)Instructions burned: 2351 (million)
% 27.09/5.10 % (2850188)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4187343191:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 27.09/5.10 % (2850188)Instruction limit reached!
% 27.09/5.10 % (2850188)------------------------------
% 27.09/5.10 % (2850188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.09/5.10 % (2850188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/5.10 % (2850188)CaDiCaL version: 2.1.3
% 27.09/5.10 % (2850188)Termination reason: Instruction limit
% 27.09/5.10 % (2850188)Termination phase: Saturation
% 27.09/5.10 % (2850188)Time elapsed: 0.087 s
% 27.09/5.10 % (2850188)Peak memory usage: 91 MB
% 27.09/5.10 % (2850188)Instructions burned: 126 (million)
% 27.09/5.10 % (2850230)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2515315883:i=134:gtgl=5:slsql=off:gtg=exists_sym_2964 on theBenchmark for (2964ds/134Mi)
% 27.09/5.10 % (2850131)Refutation found. Thanks to Tanya!
% 27.09/5.10 % SZS status Theorem for theBenchmark
% 27.09/5.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/5.31 % (2850131)------------------------------
% 0.30/5.31 % (2850131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/5.31 % (2850131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/5.31 % (2850131)CaDiCaL version: 2.1.3
% 0.30/5.31 % (2850131)Termination reason: Refutation
% 0.30/5.31 % (2850131)Time elapsed: 3.234 s
% 0.30/5.31 % (2850131)Peak memory usage: 149 MB
% 0.30/5.31 % (2850131)Instructions burned: 3196 (million)
% 0.30/5.31 % (2850131)------------------------------
% 0.30/5.31 % (2850131)------------------------------
% 0.30/5.31 % (2850125)Success in time 3.793 s
% 0.30/5.31 % Vampire exiting
%------------------------------------------------------------------------------