%------------------------------------------------------------------------------
% 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 : Unsatisfiable 21.38s 4.10s
% Output : Refutation 21.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 14
% Syntax : Number of formulae : 270 ( 267 unt; 0 def)
% Number of atoms : 273 ( 272 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 383 ( 383 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(sk1,converse(sk1)) != converse(sk1)
| join(converse(sk1),sk1) != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f20,plain,
( converse(sk1) != join(sk1,converse(sk1))
| sk1 != join(converse(sk1),sk1) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f50,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f55,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f56,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1))))),complement(X0)),
inference(superposition,[],[f4,f4]) ).
fof(f61,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f63,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f64,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f61,f50]) ).
fof(f67,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),complement(complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f68,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f55,f1]) ).
fof(f121,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f129,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f121,f8]) ).
fof(f139,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f129,f10]) ).
fof(f148,plain,
one = converse(one),
inference(superposition,[],[f8,f139]) ).
fof(f149,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f139,f148]) ).
fof(f172,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f14,f139]) ).
fof(f181,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f191,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f181,f149]) ).
fof(f202,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,[],[f64,f191]) ).
fof(f203,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(superposition,[],[f64,f191]) ).
fof(f204,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(X0)))),complement(complement(X0))) = X0,
inference(superposition,[],[f4,f191]) ).
fof(f206,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f204,f1]) ).
fof(f207,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,zero)),
inference(forward_demodulation,[],[f203,f21]) ).
fof(f208,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f202,f63]) ).
fof(f211,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f206,f21]) ).
fof(f212,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f207,f50]) ).
fof(f215,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f211,f1]) ).
fof(f222,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[],[f64,f15]) ).
fof(f223,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f224,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f22,f15]) ).
fof(f229,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f222,f1]) ).
fof(f232,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f229,f223]) ).
fof(f268,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(join(complement(join(complement(X1),complement(X0))),join(complement(X0),X1))),complement(X0)),
inference(superposition,[],[f68,f68]) ).
fof(f275,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f64,f68]) ).
fof(f281,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f275,f1]) ).
fof(f286,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X1),complement(X0))),join(complement(X0),X1)))),
inference(forward_demodulation,[],[f268,f1]) ).
fof(f298,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(forward_demodulation,[],[f286,f1]) ).
fof(f303,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f298,f2]) ).
fof(f308,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f303,f208]) ).
fof(f484,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X1),complement(join(X0,complement(X1)))),
inference(superposition,[],[f308,f1]) ).
fof(f486,plain,
! [X2,X0,X1] : join(complement(join(X2,X0)),complement(X1)) = join(complement(X1),complement(join(X0,join(complement(X1),X2)))),
inference(superposition,[],[f308,f50]) ).
fof(f487,plain,
! [X0] : join(complement(complement(complement(X0))),complement(X0)) = join(complement(X0),complement(top)),
inference(superposition,[],[f308,f15]) ).
fof(f512,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f487,f1]) ).
fof(f538,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f549,plain,
! [X2,X3,X0,X1] : join(composition(X0,X2),join(composition(X1,X2),X3)) = join(composition(join(X0,X1),X2),X3),
inference(superposition,[],[f2,f9]) ).
fof(f573,plain,
zero = complement(top),
inference(superposition,[],[f21,f15]) ).
fof(f575,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),zero),
inference(superposition,[],[f68,f21]) ).
fof(f580,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(complement(complement(X0))))))),
inference(superposition,[],[f64,f21]) ).
fof(f610,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(top))))),
inference(forward_demodulation,[],[f580,f512]) ).
fof(f615,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f575,f1]) ).
fof(f628,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),zero)))),
inference(forward_demodulation,[],[f610,f573]) ).
fof(f632,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f615,f1]) ).
fof(f640,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(zero,complement(X0))))),
inference(forward_demodulation,[],[f628,f1]) ).
fof(f738,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f223,f191]) ).
fof(f746,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f223,f15]) ).
fof(f751,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(superposition,[],[f64,f223]) ).
fof(f769,plain,
! [X0,X1] : join(X0,complement(complement(join(complement(X0),X1)))) = join(top,complement(complement(X1))),
inference(forward_demodulation,[],[f751,f232]) ).
fof(f774,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f738,f15]) ).
fof(f783,plain,
! [X0,X1] : join(X1,top) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f769,f746]) ).
fof(f801,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),top) = join(X0,top),
inference(superposition,[],[f64,f774]) ).
fof(f808,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,top),
inference(forward_demodulation,[],[f801,f1]) ).
fof(f810,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f808,f774]) ).
fof(f818,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1,f810]) ).
fof(f857,plain,
top = converse(top),
inference(superposition,[],[f224,f818]) ).
fof(f988,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(X0)))),complement(complement(X0))) = join(X0,zero),
inference(superposition,[],[f64,f632]) ).
fof(f997,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = join(X0,zero),
inference(forward_demodulation,[],[f988,f1]) ).
fof(f1003,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = join(X0,zero),
inference(forward_demodulation,[],[f997,f484]) ).
fof(f1007,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(forward_demodulation,[],[f1003,f191]) ).
fof(f1149,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = join(X1,complement(join(complement(complement(join(complement(X1),X0))),X1))),
inference(superposition,[],[f281,f308]) ).
fof(f1267,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = join(X1,complement(join(X1,complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1149,f1]) ).
fof(f1335,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = join(X1,complement(join(X0,top))),
inference(forward_demodulation,[],[f1267,f783]) ).
fof(f1395,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = join(X1,complement(top)),
inference(forward_demodulation,[],[f1335,f810]) ).
fof(f1445,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = join(X1,zero),
inference(forward_demodulation,[],[f1395,f573]) ).
fof(f1483,plain,
! [X1] : join(X1,zero) = X1,
inference(forward_demodulation,[],[f1445,f68]) ).
fof(f1592,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f1483]) ).
fof(f1600,plain,
! [X0] : join(zero,complement(complement(X0))) = join(X0,complement(join(complement(zero),X0))),
inference(superposition,[],[f281,f1483]) ).
fof(f1604,plain,
! [X0] : join(X0,complement(join(complement(zero),X0))) = X0,
inference(forward_demodulation,[],[f1600,f215]) ).
fof(f1642,plain,
! [X0] : complement(X0) = complement(join(X0,complement(complement(X0)))),
inference(superposition,[],[f632,f1592]) ).
fof(f1643,plain,
top = complement(zero),
inference(superposition,[],[f15,f1592]) ).
fof(f1648,plain,
! [X0] : complement(join(complement(X0),zero)) = join(X0,complement(join(complement(zero),X0))),
inference(superposition,[],[f281,f1592]) ).
fof(f1654,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f1648,f1604]) ).
fof(f1659,plain,
! [X0] : complement(X0) = complement(join(X0,join(X0,zero))),
inference(forward_demodulation,[],[f1642,f1007]) ).
fof(f1670,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f1654,f1]) ).
fof(f1673,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(forward_demodulation,[],[f1659,f1483]) ).
fof(f1677,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1670,f1592]) ).
fof(f1708,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))) = join(X0,X0),
inference(superposition,[],[f68,f1673]) ).
fof(f1724,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1708,f68]) ).
fof(f1881,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),complement(join(complement(X1),complement(X0)))),
inference(superposition,[],[f281,f1677]) ).
fof(f1882,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f308,f1677]) ).
fof(f1888,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(complement(X1)),complement(X0)),
inference(forward_demodulation,[],[f1881,f484]) ).
fof(f1904,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(join(X1,zero),complement(X0)),
inference(forward_demodulation,[],[f1888,f1007]) ).
fof(f1907,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,join(zero,complement(X0))),
inference(forward_demodulation,[],[f1904,f2]) ).
fof(f1909,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(forward_demodulation,[],[f1907,f1592]) ).
fof(f1914,plain,
! [X2,X0,X1] : join(complement(join(X0,X1)),X2) = join(X2,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1882,f50]) ).
fof(f1915,plain,
! [X2,X0,X1] : join(complement(join(X2,X0)),X1) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1882,f50]) ).
fof(f1917,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X1) = join(X1,complement(join(top,X0))),
inference(superposition,[],[f1882,f223]) ).
fof(f1922,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = join(X0,complement(converse(top))),
inference(superposition,[],[f1882,f224]) ).
fof(f1978,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(X1,join(X2,complement(join(join(X1,X2),X0)))),
inference(superposition,[],[f2,f1882]) ).
fof(f1979,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(X1,join(X2,complement(join(X1,join(X2,X0))))),
inference(forward_demodulation,[],[f1978,f2]) ).
fof(f2019,plain,
! [X0] : join(X0,complement(top)) = join(complement(converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[],[f1922,f857]) ).
fof(f2024,plain,
! [X0,X1] : join(X1,complement(top)) = join(complement(join(complement(X1),X0)),X1),
inference(forward_demodulation,[],[f1917,f818]) ).
fof(f2026,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(X1,join(complement(join(X0,X1)),X2)),
inference(forward_demodulation,[],[f1979,f1915]) ).
fof(f2053,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f2019,f1]) ).
fof(f2058,plain,
! [X0,X1] : join(X1,complement(top)) = join(X1,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2024,f1]) ).
fof(f2077,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f2053,f573]) ).
fof(f2082,plain,
! [X0,X1] : join(X1,zero) = join(X1,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2058,f573]) ).
fof(f2098,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f2077,f1483]) ).
fof(f2103,plain,
! [X0,X1] : join(X1,complement(join(complement(X1),X0))) = X1,
inference(forward_demodulation,[],[f2082,f1483]) ).
fof(f2161,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f68,f2098]) ).
fof(f2170,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f22,f2098]) ).
fof(f2188,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f2170,f10]) ).
fof(f2194,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f2161,f1]) ).
fof(f2211,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2194,f1]) ).
fof(f2225,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(join(X0,zero),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2211,f1007]) ).
fof(f2237,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,join(zero,complement(join(X0,complement(converse(complement(converse(complement(X0))))))))),
inference(forward_demodulation,[],[f2225,f2]) ).
fof(f2248,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2237,f1592]) ).
fof(f2259,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f2248,f1882]) ).
fof(f2264,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f2259,f1]) ).
fof(f2265,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,join(converse(complement(converse(complement(X0)))),zero)),
inference(forward_demodulation,[],[f2264,f1007]) ).
fof(f2266,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,join(zero,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f2265,f1]) ).
fof(f2267,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f2266,f1592]) ).
fof(f2268,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f2267,f2188]) ).
fof(f2272,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f2103,f1677]) ).
fof(f2619,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f2268,f1677]) ).
fof(f2625,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f10,f2268]) ).
fof(f2825,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(complement(X0),X1))),
inference(superposition,[],[f2272,f1882]) ).
fof(f3621,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1909,f1]) ).
fof(f3628,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(X1)) = join(complement(join(complement(X0),X1)),complement(join(X0,complement(join(complement(X1),X0))))),
inference(superposition,[],[f1909,f281]) ).
fof(f3747,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(X1)) = join(complement(join(complement(X0),X1)),complement(join(X0,complement(complement(X1))))),
inference(forward_demodulation,[],[f3628,f1909]) ).
fof(f3794,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(X1)) = join(complement(join(complement(X0),X1)),complement(join(X0,join(X1,zero)))),
inference(forward_demodulation,[],[f3747,f1007]) ).
fof(f3830,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(X1)) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3794,f1483]) ).
fof(f3863,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(X1)) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3830,f1]) ).
fof(f3888,plain,
! [X0,X1] : join(complement(X1),complement(join(complement(X0),X1))) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3863,f1]) ).
fof(f3904,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3888,f2825]) ).
fof(f7763,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f538,f12]) ).
fof(f7786,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f7763,f11]) ).
fof(f7809,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f7786,f11]) ).
fof(f7819,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f7809,f12]) ).
fof(f7841,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f7819]) ).
fof(f7856,plain,
! [X2,X0,X1] : converse(complement(converse(composition(X0,join(X1,X2))))) = complement(join(composition(X0,X1),composition(X0,X2))),
inference(superposition,[],[f2619,f7819]) ).
fof(f7863,plain,
! [X2,X0,X1] : complement(join(composition(X0,X1),composition(X0,X2))) = complement(composition(X0,join(X1,X2))),
inference(forward_demodulation,[],[f7856,f2619]) ).
fof(f7876,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f7841,f10]) ).
fof(f7918,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f7876,f8]) ).
fof(f7923,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f7876,f8]) ).
fof(f7954,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(X0,composition(X0,X1)),
inference(forward_demodulation,[],[f7923,f1]) ).
fof(f7979,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f7918,f15]) ).
fof(f8140,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sk1)),
inference(superposition,[],[f7954,f18]) ).
fof(f8230,plain,
! [X0] : join(X0,composition(X0,sk1)) = X0,
inference(forward_demodulation,[],[f8140,f8]) ).
fof(f8305,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sk1))),
inference(superposition,[],[f22,f8230]) ).
fof(f8334,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sk1),X0)),
inference(forward_demodulation,[],[f8305,f121]) ).
fof(f8361,plain,
! [X0] : join(X0,composition(converse(sk1),X0)) = X0,
inference(forward_demodulation,[],[f8334,f10]) ).
fof(f8411,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sk1),one))),
inference(superposition,[],[f7918,f8361]) ).
fof(f8458,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sk1))),
inference(forward_demodulation,[],[f8411,f8]) ).
fof(f8477,plain,
! [X0] : join(X0,composition(X0,converse(sk1))) = X0,
inference(forward_demodulation,[],[f8458,f8]) ).
fof(f8536,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sk1)))),
inference(superposition,[],[f22,f8477]) ).
fof(f8565,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sk1)),X0)),
inference(forward_demodulation,[],[f8536,f121]) ).
fof(f8594,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sk1,X0)),
inference(forward_demodulation,[],[f8565,f10]) ).
fof(f8612,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f8594,f10]) ).
fof(f8649,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f8612]) ).
fof(f8671,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(join(X0,composition(sk1,complement(X0)))),complement(complement(X0))),
inference(superposition,[],[f3904,f8612]) ).
fof(f8675,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f8671,f1]) ).
fof(f8698,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(join(X0,zero),complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f8675,f1007]) ).
fof(f8713,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,join(zero,complement(join(X0,composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f8698,f2]) ).
fof(f8721,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f8713,f1592]) ).
fof(f8726,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,complement(X0))),X0),
inference(forward_demodulation,[],[f8721,f1882]) ).
fof(f8731,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f8726,f1]) ).
fof(f8769,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f8649,f7876]) ).
fof(f8968,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f8769,f15]) ).
fof(f9218,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(join(X0,composition(sk1,top)))),
inference(superposition,[],[f3621,f8968]) ).
fof(f9224,plain,
! [X0] : join(complement(X0),complement(composition(sk1,complement(complement(X0))))) = join(complement(X0),complement(join(complement(join(complement(X0),complement(composition(sk1,complement(complement(X0)))))),complement(complement(join(complement(X0),composition(sk1,top))))))),
inference(superposition,[],[f67,f8968]) ).
fof(f9248,plain,
! [X0] : join(complement(X0),complement(composition(sk1,complement(complement(X0))))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),composition(sk1,top)))),complement(join(complement(X0),complement(composition(sk1,complement(complement(X0))))))))),
inference(forward_demodulation,[],[f9224,f1]) ).
fof(f9254,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,top)),X0),
inference(forward_demodulation,[],[f9218,f1882]) ).
fof(f9281,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(join(complement(X0),composition(sk1,top)))),complement(complement(composition(sk1,complement(complement(X0)))))))),
inference(forward_demodulation,[],[f9248,f8731]) ).
fof(f9286,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,top)),X0),
inference(forward_demodulation,[],[f9254,f8731]) ).
fof(f9304,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sk1,complement(complement(X0))))),complement(complement(join(complement(X0),composition(sk1,top))))))),
inference(forward_demodulation,[],[f9281,f1]) ).
fof(f9319,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(composition(sk1,complement(complement(X0))))),join(join(complement(X0),composition(sk1,top)),zero)))),
inference(forward_demodulation,[],[f9304,f1007]) ).
fof(f9332,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(join(zero,join(complement(complement(composition(sk1,complement(complement(X0))))),join(complement(X0),composition(sk1,top)))))),
inference(forward_demodulation,[],[f9319,f50]) ).
fof(f9340,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(join(composition(sk1,complement(complement(X0))),join(complement(X0),composition(sk1,top))))),
inference(forward_demodulation,[],[f9332,f212]) ).
fof(f9347,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(join(composition(sk1,top),composition(sk1,complement(complement(X0))))),complement(X0)),
inference(forward_demodulation,[],[f9340,f486]) ).
fof(f9354,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(join(composition(sk1,top),composition(sk1,complement(complement(X0)))))),
inference(forward_demodulation,[],[f9347,f1]) ).
fof(f9361,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(composition(sk1,join(top,complement(complement(X0)))))),
inference(forward_demodulation,[],[f9354,f7863]) ).
fof(f9365,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(composition(sk1,join(X0,top)))),
inference(forward_demodulation,[],[f9361,f746]) ).
fof(f9367,plain,
! [X0] : complement(composition(sk1,complement(complement(X0)))) = join(complement(X0),complement(composition(sk1,top))),
inference(forward_demodulation,[],[f9365,f810]) ).
fof(f9368,plain,
! [X0] : complement(composition(sk1,join(X0,zero))) = join(complement(X0),complement(composition(sk1,top))),
inference(forward_demodulation,[],[f9367,f1007]) ).
fof(f9369,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(X0),complement(composition(sk1,top))),
inference(forward_demodulation,[],[f9368,f1483]) ).
fof(f9715,plain,
zero = complement(complement(composition(sk1,complement(complement(complement(composition(sk1,top))))))),
inference(superposition,[],[f21,f9286]) ).
fof(f9774,plain,
zero = join(composition(sk1,complement(complement(complement(composition(sk1,top))))),zero),
inference(forward_demodulation,[],[f9715,f1007]) ).
fof(f9875,plain,
zero = join(zero,composition(sk1,complement(complement(complement(composition(sk1,top)))))),
inference(forward_demodulation,[],[f9774,f1]) ).
fof(f9964,plain,
zero = composition(sk1,complement(complement(complement(composition(sk1,top))))),
inference(forward_demodulation,[],[f9875,f1592]) ).
fof(f10050,plain,
zero = composition(sk1,join(complement(composition(sk1,top)),zero)),
inference(forward_demodulation,[],[f9964,f1007]) ).
fof(f10125,plain,
zero = composition(sk1,complement(composition(sk1,complement(zero)))),
inference(forward_demodulation,[],[f10050,f9286]) ).
fof(f10184,plain,
zero = composition(sk1,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f10125,f1643]) ).
fof(f11515,plain,
! [X0,X1] : join(zero,complement(join(X0,X1))) = join(zero,complement(join(X1,complement(join(zero,complement(X0)))))),
inference(superposition,[],[f3621,f640]) ).
fof(f11520,plain,
! [X0,X1] : join(zero,complement(join(X0,X1))) = complement(join(X1,complement(join(zero,complement(X0))))),
inference(forward_demodulation,[],[f11515,f1592]) ).
fof(f11578,plain,
! [X0,X1] : complement(join(X1,complement(complement(X0)))) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f11520,f1592]) ).
fof(f11630,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f11578,f1592]) ).
fof(f11664,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,join(X0,zero))),
inference(forward_demodulation,[],[f11630,f1007]) ).
fof(f11687,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f11664,f1483]) ).
fof(f11868,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(join(X0,X1)),X2))) = join(join(X1,X0),complement(join(complement(X2),join(X1,X0)))),
inference(superposition,[],[f281,f11687]) ).
fof(f11886,plain,
! [X0,X1] : complement(composition(sk1,join(X1,X0))) = join(complement(join(X0,X1)),complement(composition(sk1,top))),
inference(superposition,[],[f9369,f11687]) ).
fof(f11889,plain,
! [X0,X1] : complement(composition(sk1,join(X0,X1))) = complement(composition(sk1,join(X1,X0))),
inference(forward_demodulation,[],[f11886,f9369]) ).
fof(f11904,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(join(X0,X1)),X2))) = join(X1,join(X0,complement(join(complement(X2),join(X1,X0))))),
inference(forward_demodulation,[],[f11868,f2]) ).
fof(f11975,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(join(X0,X1)),X2))) = join(X1,join(complement(join(complement(X2),X1)),X0)),
inference(forward_demodulation,[],[f11904,f1914]) ).
fof(f12006,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(join(X0,X1)),X2))) = join(complement(complement(X2)),join(X1,X0)),
inference(forward_demodulation,[],[f11975,f2026]) ).
fof(f12027,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(join(X0,X1)),X2))) = join(join(X2,zero),join(X1,X0)),
inference(forward_demodulation,[],[f12006,f1007]) ).
fof(f12042,plain,
! [X2,X0,X1] : join(X2,complement(join(complement(join(X0,X1)),X2))) = join(X2,join(zero,join(X1,X0))),
inference(forward_demodulation,[],[f12027,f2]) ).
fof(f12055,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X2,complement(join(complement(join(X0,X1)),X2))),
inference(forward_demodulation,[],[f12042,f1592]) ).
fof(f12066,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X2,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f12055,f1909]) ).
fof(f12074,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X2,join(join(X0,X1),zero)),
inference(forward_demodulation,[],[f12066,f1007]) ).
fof(f12080,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X2,join(X0,join(X1,zero))),
inference(forward_demodulation,[],[f12074,f2]) ).
fof(f12084,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f12080,f1483]) ).
fof(f12229,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X2,X1),X0),
inference(superposition,[],[f1,f12084]) ).
fof(f12239,plain,
! [X2,X0,X1] : join(X0,complement(join(X0,join(X1,X2)))) = join(X0,complement(join(X2,X1))),
inference(superposition,[],[f3621,f12084]) ).
fof(f12278,plain,
! [X2,X0,X1] : join(complement(join(X1,X2)),X0) = join(X0,complement(join(X2,X1))),
inference(forward_demodulation,[],[f12239,f1882]) ).
fof(f17631,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(X0,top))),
inference(superposition,[],[f2272,f7979]) ).
fof(f17769,plain,
complement(sk1) = complement(composition(sk1,sk1)),
inference(superposition,[],[f9369,f17631]) ).
fof(f18019,plain,
composition(sk1,sk1) = converse(complement(converse(complement(sk1)))),
inference(superposition,[],[f2268,f17769]) ).
fof(f18042,plain,
sk1 = composition(sk1,sk1),
inference(forward_demodulation,[],[f18019,f2268]) ).
fof(f18128,plain,
! [X0] : join(sk1,composition(sk1,X0)) = composition(sk1,join(sk1,X0)),
inference(superposition,[],[f7876,f18042]) ).
fof(f18987,plain,
! [X2,X3,X0,X1] : join(composition(join(X0,X1),X2),X3) = join(X3,join(composition(X1,X2),composition(X0,X2))),
inference(superposition,[],[f12229,f9]) ).
fof(f19203,plain,
! [X2,X3,X0,X1] : join(composition(join(X0,X1),X2),X3) = join(X3,composition(join(X1,X0),X2)),
inference(forward_demodulation,[],[f18987,f9]) ).
fof(f25008,plain,
complement(complement(composition(sk1,top))) = join(composition(converse(sk1),complement(zero)),complement(complement(composition(sk1,top)))),
inference(superposition,[],[f14,f10184]) ).
fof(f25023,plain,
complement(complement(composition(sk1,top))) = join(complement(complement(composition(sk1,top))),composition(converse(sk1),complement(zero))),
inference(forward_demodulation,[],[f25008,f1]) ).
fof(f25038,plain,
complement(complement(composition(sk1,top))) = join(complement(complement(composition(sk1,top))),composition(converse(sk1),top)),
inference(forward_demodulation,[],[f25023,f1643]) ).
fof(f25049,plain,
complement(complement(composition(sk1,top))) = join(composition(converse(sk1),top),complement(complement(composition(sk1,top)))),
inference(forward_demodulation,[],[f25038,f1]) ).
fof(f25054,plain,
join(composition(sk1,top),zero) = join(composition(converse(sk1),top),join(composition(sk1,top),zero)),
inference(forward_demodulation,[],[f25049,f1007]) ).
fof(f25056,plain,
join(composition(sk1,top),zero) = join(composition(join(converse(sk1),sk1),top),zero),
inference(forward_demodulation,[],[f25054,f549]) ).
fof(f25058,plain,
join(composition(sk1,top),zero) = join(zero,composition(join(sk1,converse(sk1)),top)),
inference(forward_demodulation,[],[f25056,f19203]) ).
fof(f25060,plain,
join(composition(sk1,top),zero) = composition(join(sk1,converse(sk1)),top),
inference(forward_demodulation,[],[f25058,f1592]) ).
fof(f25062,plain,
join(zero,composition(sk1,top)) = composition(join(sk1,converse(sk1)),top),
inference(forward_demodulation,[],[f25060,f1]) ).
fof(f25064,plain,
composition(sk1,top) = composition(join(sk1,converse(sk1)),top),
inference(forward_demodulation,[],[f25062,f1592]) ).
fof(f25161,plain,
complement(join(sk1,converse(sk1))) = join(complement(join(sk1,converse(sk1))),complement(composition(sk1,top))),
inference(superposition,[],[f17631,f25064]) ).
fof(f25188,plain,
complement(join(sk1,converse(sk1))) = join(complement(composition(sk1,top)),complement(join(converse(sk1),sk1))),
inference(forward_demodulation,[],[f25161,f12278]) ).
fof(f25201,plain,
complement(join(sk1,converse(sk1))) = complement(composition(sk1,complement(complement(join(converse(sk1),sk1))))),
inference(forward_demodulation,[],[f25188,f9286]) ).
fof(f25211,plain,
complement(join(sk1,converse(sk1))) = complement(composition(sk1,join(join(converse(sk1),sk1),zero))),
inference(forward_demodulation,[],[f25201,f1007]) ).
fof(f25219,plain,
complement(join(sk1,converse(sk1))) = complement(composition(sk1,join(zero,join(converse(sk1),sk1)))),
inference(forward_demodulation,[],[f25211,f11889]) ).
fof(f25224,plain,
complement(join(sk1,converse(sk1))) = complement(composition(sk1,join(converse(sk1),sk1))),
inference(forward_demodulation,[],[f25219,f1592]) ).
fof(f25228,plain,
complement(join(sk1,converse(sk1))) = complement(composition(sk1,join(sk1,converse(sk1)))),
inference(forward_demodulation,[],[f25224,f11889]) ).
fof(f25231,plain,
complement(join(sk1,converse(sk1))) = complement(join(sk1,composition(sk1,converse(sk1)))),
inference(forward_demodulation,[],[f25228,f18128]) ).
fof(f25232,plain,
complement(sk1) = complement(join(sk1,converse(sk1))),
inference(forward_demodulation,[],[f25231,f8477]) ).
fof(f25282,plain,
join(sk1,converse(sk1)) = converse(complement(converse(complement(sk1)))),
inference(superposition,[],[f2268,f25232]) ).
fof(f25284,plain,
complement(converse(complement(sk1))) = converse(join(sk1,converse(sk1))),
inference(superposition,[],[f2625,f25232]) ).
fof(f25313,plain,
join(converse(sk1),sk1) = complement(converse(complement(sk1))),
inference(forward_demodulation,[],[f25284,f23]) ).
fof(f25315,plain,
sk1 = join(sk1,converse(sk1)),
inference(forward_demodulation,[],[f25282,f2268]) ).
fof(f25360,plain,
converse(sk1) = join(converse(sk1),sk1),
inference(forward_demodulation,[],[f25313,f2625]) ).
fof(f25388,plain,
converse(sk1) = join(sk1,converse(sk1)),
inference(forward_demodulation,[],[f25360,f1]) ).
fof(f25402,plain,
sk1 = converse(sk1),
inference(forward_demodulation,[],[f25388,f25315]) ).
fof(f25420,plain,
( sk1 != join(sk1,sk1)
| sk1 != join(sk1,sk1) ),
inference(superposition,[],[f20,f25402]) ).
fof(f25460,plain,
sk1 != join(sk1,sk1),
inference(duplicate_literal_removal,[],[f25420]) ).
fof(f25478,plain,
$false,
inference(forward_subsumption_resolution,[],[f25460,f1724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL025-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:53:00 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 17.94/3.63 % (2852682)Input is clausal, will run a generic CNF schedule.
% 17.94/3.63 % (2852690)lrs+10_1_sil=8000:sp=occurrence:random_seed=143977577:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.94/3.63 % (2852689)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3131792388:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.94/3.63 % (2852688)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=452480173:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.94/3.63 % (2852687)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=1057376605:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.94/3.63 % (2852690)Instruction limit reached!
% 17.94/3.63 % (2852690)------------------------------
% 17.94/3.63 % (2852690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/3.63 % (2852690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/3.63 % (2852690)CaDiCaL version: 2.1.3
% 17.94/3.63 % (2852690)Termination reason: Instruction limit
% 17.94/3.63 % (2852690)Termination phase: Saturation
% 17.94/3.63 % (2852690)Time elapsed: 0.060 s
% 17.94/3.63 % (2852690)Peak memory usage: 89 MB
% 17.94/3.63 % (2852690)Instructions burned: 108 (million)
% 17.94/3.63 % (2852691)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=582555271:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.94/3.63 % (2852692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2924670092:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.94/3.63 % (2852693)dis-21_1_sil=8000:lcm=predicate:random_seed=1893854460:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 17.94/3.63 % (2852693)Refutation not found, incomplete strategy
% 17.94/3.63 % (2852693)------------------------------
% 17.94/3.63 % (2852693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/3.63 % (2852693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/3.63 % (2852693)CaDiCaL version: 2.1.3
% 17.94/3.63 % (2852693)Termination reason: Refutation not found, incomplete strategy
% 17.94/3.63 % (2852693)Time elapsed: 0.002 s
% 17.94/3.63 % (2852693)Peak memory usage: 88 MB
% 17.94/3.63 % (2852693)Instructions burned: 1 (million)
% 17.94/3.63 % (2852691)Instruction limit reached!
% 17.94/3.63 % (2852691)------------------------------
% 17.94/3.63 % (2852691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/3.63 % (2852691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/3.63 % (2852691)CaDiCaL version: 2.1.3
% 17.94/3.63 % (2852691)Termination reason: Instruction limit
% 17.94/3.63 % (2852691)Termination phase: Saturation
% 17.94/3.63 % (2852691)Time elapsed: 0.113 s
% 17.94/3.63 % (2852691)Peak memory usage: 89 MB
% 17.94/3.63 % (2852691)Instructions burned: 115 (million)
% 17.94/3.63 % (2852692)Instruction limit reached!
% 17.94/3.63 % (2852692)------------------------------
% 17.94/3.63 % (2852692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/3.63 % (2852692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/3.63 % (2852692)CaDiCaL version: 2.1.3
% 17.94/3.63 % (2852692)Termination reason: Instruction limit
% 17.94/3.63 % (2852692)Termination phase: Saturation
% 17.94/3.63 % (2852692)Time elapsed: 0.179 s
% 17.94/3.63 % (2852692)Peak memory usage: 89 MB
% 17.94/3.63 % (2852692)Instructions burned: 181 (million)
% 17.94/3.63 % (2852698)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2216037031:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.94/3.63 % (2852698)Instruction limit reached!
% 17.94/3.63 % (2852698)------------------------------
% 17.94/3.63 % (2852698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/3.63 % (2852698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/3.63 % (2852698)CaDiCaL version: 2.1.3
% 17.94/3.63 % (2852698)Termination reason: Instruction limit
% 17.94/3.63 % (2852698)Termination phase: Saturation
% 17.94/3.63 % (2852698)Time elapsed: 0.071 s
% 17.94/3.63 % (2852698)Peak memory usage: 89 MB
% 17.94/3.63 % (2852698)Instructions burned: 145 (million)
% 17.94/3.63 % (2852693)------------------------------
% 21.38/4.10 % (2852693)------------------------------
% 21.38/4.10 % (2852702)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1632599357:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 21.38/4.10 % (2852703)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2661800657:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 21.38/4.10 % (2852705)lrs+10_64_to=lpo:sil=8000:random_seed=3843460776:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 21.38/4.10 % (2852705)Instruction limit reached!
% 21.38/4.10 % (2852705)------------------------------
% 21.38/4.10 % (2852705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852705)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852705)Termination reason: Instruction limit
% 21.38/4.10 % (2852705)Termination phase: Saturation
% 21.38/4.10 % (2852705)Time elapsed: 0.070 s
% 21.38/4.10 % (2852705)Peak memory usage: 89 MB
% 21.38/4.10 % (2852705)Instructions burned: 127 (million)
% 21.38/4.10 % (2852702)Instruction limit reached!
% 21.38/4.10 % (2852702)------------------------------
% 21.38/4.10 % (2852702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852702)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852702)Termination reason: Instruction limit
% 21.38/4.10 % (2852702)Termination phase: Saturation
% 21.38/4.10 % (2852702)Time elapsed: 0.194 s
% 21.38/4.10 % (2852702)Peak memory usage: 91 MB
% 21.38/4.10 % (2852702)Instructions burned: 189 (million)
% 21.38/4.10 % (2852703)Instruction limit reached!
% 21.38/4.10 % (2852703)------------------------------
% 21.38/4.10 % (2852703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852703)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852703)Termination reason: Instruction limit
% 21.38/4.10 % (2852703)Termination phase: Saturation
% 21.38/4.10 % (2852703)Time elapsed: 0.223 s
% 21.38/4.10 % (2852703)Peak memory usage: 90 MB
% 21.38/4.10 % (2852703)Instructions burned: 219 (million)
% 21.38/4.10 % (2852706)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3338642355:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 21.38/4.10 % (2852710)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3838831757:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 21.38/4.10 % (2852706)Instruction limit reached!
% 21.38/4.10 % (2852706)------------------------------
% 21.38/4.10 % (2852706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852706)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852706)Termination reason: Instruction limit
% 21.38/4.10 % (2852706)Termination phase: Saturation
% 21.38/4.10 % (2852706)Time elapsed: 0.203 s
% 21.38/4.10 % (2852706)Peak memory usage: 90 MB
% 21.38/4.10 % (2852706)Instructions burned: 195 (million)
% 21.38/4.10 % (2852711)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3796886493:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 21.38/4.10 % (2852710)Instruction limit reached!
% 21.38/4.10 % (2852710)------------------------------
% 21.38/4.10 % (2852710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852710)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852710)Termination reason: Instruction limit
% 21.38/4.10 % (2852710)Termination phase: Saturation
% 21.38/4.10 % (2852710)Time elapsed: 0.090 s
% 21.38/4.10 % (2852710)Peak memory usage: 90 MB
% 21.38/4.10 % (2852710)Instructions burned: 158 (million)
% 21.38/4.10 % (2852713)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2109809828:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 21.38/4.10 % (2852713)Instruction limit reached!
% 21.38/4.10 % (2852713)------------------------------
% 21.38/4.10 % (2852713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852713)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852713)Termination reason: Instruction limit
% 21.38/4.10 % (2852713)Termination phase: Saturation
% 21.38/4.10 % (2852713)Time elapsed: 0.111 s
% 21.38/4.10 % (2852713)Peak memory usage: 89 MB
% 21.38/4.10 % (2852713)Instructions burned: 107 (million)
% 21.38/4.10 % (2852717)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4239241857:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 21.38/4.10 % (2852716)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=20422161:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 21.38/4.10 % (2852717)Instruction limit reached!
% 21.38/4.10 % (2852717)------------------------------
% 21.38/4.10 % (2852717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852717)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852717)Termination reason: Instruction limit
% 21.38/4.10 % (2852717)Termination phase: Saturation
% 21.38/4.10 % (2852717)Time elapsed: 0.113 s
% 21.38/4.10 % (2852717)Peak memory usage: 89 MB
% 21.38/4.10 % (2852717)Instructions burned: 244 (million)
% 21.38/4.10 % (2852716)Instruction limit reached!
% 21.38/4.10 % (2852716)------------------------------
% 21.38/4.10 % (2852716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852716)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852716)Termination reason: Instruction limit
% 21.38/4.10 % (2852716)Termination phase: Saturation
% 21.38/4.10 % (2852716)Time elapsed: 0.099 s
% 21.38/4.10 % (2852716)Peak memory usage: 88 MB
% 21.38/4.10 % (2852716)Instructions burned: 107 (million)
% 21.38/4.10 % (2852719)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2917847321:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 21.38/4.10 % (2852722)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=986960977:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 21.38/4.10 % (2852723)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=85076698:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 21.38/4.10 % (2852722)Instruction limit reached!
% 21.38/4.10 % (2852722)------------------------------
% 21.38/4.10 % (2852722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852722)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852722)Termination reason: Instruction limit
% 21.38/4.10 % (2852722)Termination phase: Saturation
% 21.38/4.10 % (2852722)Time elapsed: 0.069 s
% 21.38/4.10 % (2852722)Peak memory usage: 89 MB
% 21.38/4.10 % (2852722)Instructions burned: 134 (million)
% 21.38/4.10 % (2852727)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3813907439:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 21.38/4.10 % (2852727)Instruction limit reached!
% 21.38/4.10 % (2852727)------------------------------
% 21.38/4.10 % (2852727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852727)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852727)Termination reason: Instruction limit
% 21.38/4.10 % (2852727)Termination phase: Saturation
% 21.38/4.10 % (2852727)Time elapsed: 0.108 s
% 21.38/4.10 % (2852727)Peak memory usage: 90 MB
% 21.38/4.10 % (2852727)Instructions burned: 192 (million)
% 21.38/4.10 % (2852723)Instruction limit reached!
% 21.38/4.10 % (2852723)------------------------------
% 21.38/4.10 % (2852723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852723)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852723)Termination reason: Instruction limit
% 21.38/4.10 % (2852723)Termination phase: Saturation
% 21.38/4.10 % (2852723)Time elapsed: 0.533 s
% 21.38/4.10 % (2852723)Peak memory usage: 93 MB
% 21.38/4.10 % (2852723)Instructions burned: 499 (million)
% 21.38/4.10 % (2852747)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4002816336:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 21.38/4.10 % (2852747)Instruction limit reached!
% 21.38/4.10 % (2852747)------------------------------
% 21.38/4.10 % (2852747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852747)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852747)Termination reason: Instruction limit
% 21.38/4.10 % (2852747)Termination phase: Saturation
% 21.38/4.10 % (2852747)Time elapsed: 0.160 s
% 21.38/4.10 % (2852747)Peak memory usage: 92 MB
% 21.38/4.10 % (2852747)Instructions burned: 264 (million)
% 21.38/4.10 % (2852688)First to succeed.
% 21.38/4.10 % (2852688)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2852682"
% 21.38/4.10 % (2852748)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1731687293:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 21.38/4.10 % (2852689)Also succeeded, but the first one will report.
% 21.38/4.10 % (2852750)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2930906619:i=3256:kws=precedence:bd=preordered:av=off_2973 on theBenchmark for (2973ds/3256Mi)
% 21.38/4.10 % (2852748)Instruction limit reached!
% 21.38/4.10 % (2852748)------------------------------
% 21.38/4.10 % (2852748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.10 % (2852748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.10 % (2852748)CaDiCaL version: 2.1.3
% 21.38/4.10 % (2852748)Termination reason: Instruction limit
% 21.38/4.10 % (2852748)Termination phase: Saturation
% 21.38/4.10 % (2852748)Time elapsed: 0.145 s
% 21.38/4.10 % (2852748)Peak memory usage: 90 MB
% 21.38/4.10 % (2852748)Instructions burned: 158 (million)
% 21.38/4.10 % (2852688)Refutation found. Thanks to Tanya!
% 21.38/4.10 % SZS status Unsatisfiable for theBenchmark
% 21.38/4.10 % SZS output start Proof for theBenchmark
% See solution above
% 21.84/4.32 % (2852688)------------------------------
% 21.84/4.32 % (2852688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.84/4.32 % (2852688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.84/4.32 % (2852688)CaDiCaL version: 2.1.3
% 21.84/4.32 % (2852688)Termination reason: Refutation
% 21.84/4.32 % (2852688)Time elapsed: 2.446 s
% 21.84/4.32 % (2852688)Peak memory usage: 140 MB
% 21.84/4.32 % (2852688)Instructions burned: 2429 (million)
% 21.84/4.32 % (2852688)------------------------------
% 21.84/4.32 % (2852688)------------------------------
% 21.84/4.32 % (2852682)Success in time 2.991 s
% 21.84/4.32 % Vampire exiting
%------------------------------------------------------------------------------