%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT229-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:46:19 AM UTC 2026
% Result : Unsatisfiable 9.25s 2.25s
% Output : Refutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 94 unt; 0 def)
% Number of atoms : 97 ( 96 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = meet(X0,join(meet(X1,join(X0,meet(X1,X2))),meet(X2,join(X0,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H17) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
fof(f24,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f29,plain,
complement(a) != join(complement(a),complement(b)),
inference(superposition,[],[f16,f6]) ).
fof(f40,plain,
! [X2,X0,X1] : meet(X2,join(meet(X2,X0),meet(X2,X1))) = meet(X2,join(meet(X0,join(meet(X0,X1),X2)),meet(X1,join(X2,X0)))),
inference(superposition,[],[f12,f6]) ).
fof(f41,plain,
! [X0,X1] : meet(meet(X1,join(X0,meet(X1,X0))),join(meet(meet(X1,join(X0,meet(X1,X0))),X0),meet(meet(X1,join(X0,meet(X1,X0))),join(X0,X1)))) = meet(meet(X1,join(X0,meet(X1,X0))),join(meet(X0,join(meet(X0,X1),meet(X0,X0))),meet(join(X0,X1),join(meet(X1,join(X0,meet(X1,X0))),X0)))),
inference(superposition,[],[f12,f12]) ).
fof(f63,plain,
! [X0,X1] : meet(meet(X1,join(X0,meet(X1,X0))),join(meet(meet(X1,join(X0,meet(X1,X0))),X0),meet(meet(X1,join(X0,meet(X1,X0))),join(X0,X1)))) = meet(X1,meet(join(X0,meet(X1,X0)),join(meet(X0,join(meet(X0,X1),meet(X0,X0))),meet(join(X0,X1),join(meet(X1,join(X0,meet(X1,X0))),X0))))),
inference(forward_demodulation,[],[f41,f7]) ).
fof(f64,plain,
! [X2,X0,X1] : meet(X2,join(meet(X2,X0),meet(X2,X1))) = meet(X2,join(meet(X1,join(X2,X0)),meet(X0,join(meet(X0,X1),X2)))),
inference(forward_demodulation,[],[f40,f6]) ).
fof(f78,plain,
! [X0,X1] : meet(meet(X1,join(X0,meet(X1,X0))),join(meet(meet(X1,join(X0,meet(X1,X0))),X0),meet(meet(X1,join(X0,meet(X1,X0))),join(X0,X1)))) = meet(X1,meet(join(X0,meet(X1,X0)),join(meet(X0,join(meet(X0,X1),meet(X0,X0))),meet(join(X0,X1),join(X0,meet(X1,join(X0,meet(X1,X0)))))))),
inference(forward_demodulation,[],[f63,f6]) ).
fof(f85,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(meet(X0,join(meet(X0,X1),meet(X0,X0))),meet(join(X0,X1),join(X0,meet(X1,X0)))))),
inference(forward_demodulation,[],[f78,f24]) ).
fof(f90,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(meet(X0,join(meet(X0,X1),meet(X0,X0))),meet(join(X0,X1),X0)))),
inference(forward_demodulation,[],[f85,f24]) ).
fof(f93,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(meet(join(X0,X1),X0),meet(X0,join(meet(X0,X1),meet(X0,X0)))))),
inference(forward_demodulation,[],[f90,f6]) ).
fof(f96,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(meet(join(X0,X1),X0),meet(X0,join(meet(X0,X1),X0))))),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f98,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(meet(join(X0,X1),X0),meet(X0,join(X0,meet(X0,X1)))))),
inference(forward_demodulation,[],[f96,f6]) ).
fof(f100,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(meet(join(X0,X1),X0),X0))),
inference(forward_demodulation,[],[f98,f3]) ).
fof(f102,plain,
! [X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))) = meet(X1,meet(X0,join(X0,meet(join(X0,X1),X0)))),
inference(forward_demodulation,[],[f100,f6]) ).
fof(f103,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1)))),
inference(forward_demodulation,[],[f102,f3]) ).
fof(f104,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(meet(meet(X1,X0),X0),meet(meet(X1,X0),join(X0,X1))))),
inference(forward_demodulation,[],[f103,f7]) ).
fof(f105,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(meet(meet(X1,X0),X0),meet(X1,meet(X0,join(X0,X1)))))),
inference(forward_demodulation,[],[f104,f7]) ).
fof(f106,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(meet(meet(X1,X0),X0),meet(X1,X0)))),
inference(forward_demodulation,[],[f105,f3]) ).
fof(f107,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(meet(X1,X0),meet(meet(X1,X0),X0)))),
inference(forward_demodulation,[],[f106,f6]) ).
fof(f108,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,meet(X1,X0))),
inference(forward_demodulation,[],[f107,f4]) ).
fof(f116,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X1,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f24,f108]) ).
fof(f118,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[],[f116,f6]) ).
fof(f124,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[],[f118,f24]) ).
fof(f148,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f168,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f24,f148]) ).
fof(f170,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f148]) ).
fof(f185,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f6,f168]) ).
fof(f228,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f246,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f325,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f351,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f10,f7]) ).
fof(f839,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f228,f6]) ).
fof(f844,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f228,f9]) ).
fof(f867,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f844,f185]) ).
fof(f883,plain,
! [X0,X1] : one = join(X1,complement(meet(X0,X1))),
inference(superposition,[],[f867,f124]) ).
fof(f893,plain,
one = join(b,complement(a)),
inference(superposition,[],[f867,f14]) ).
fof(f1065,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f24,f325]) ).
fof(f1081,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f1065,f6]) ).
fof(f2414,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(meet(X1,join(complement(meet(X0,X1)),X0)),meet(X0,one))),
inference(superposition,[],[f64,f9]) ).
fof(f2483,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(meet(X0,one),meet(X1,join(complement(meet(X0,X1)),X0)))),
inference(forward_demodulation,[],[f2414,f6]) ).
fof(f2557,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(meet(X0,one),meet(X1,join(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2483,f6]) ).
fof(f2622,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(meet(X0,one),meet(X1,one))),
inference(forward_demodulation,[],[f2557,f867]) ).
fof(f2668,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(meet(X0,one),X1)),
inference(forward_demodulation,[],[f2622,f148]) ).
fof(f2706,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(X0,X1)),
inference(forward_demodulation,[],[f2668,f148]) ).
fof(f2740,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(complement(meet(X0,X1)),X1))) = meet(join(X0,X1),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f2706,f5]) ).
fof(f2772,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(meet(complement(meet(X0,X1)),X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2740,f5]) ).
fof(f2803,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2772,f5]) ).
fof(f2914,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(meet(X1,complement(meet(X0,X1))),meet(X0,complement(meet(X0,X1))))),
inference(superposition,[],[f2803,f5]) ).
fof(f2945,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(X1,X0))) = meet(complement(meet(X1,X0)),join(meet(X0,complement(meet(X1,X0))),meet(X1,complement(meet(X1,X0))))),
inference(superposition,[],[f2803,f6]) ).
fof(f2952,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))) = join(join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))),meet(join(X0,X1),complement(meet(X0,X1)))),
inference(superposition,[],[f24,f2803]) ).
fof(f2971,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))) = join(meet(join(X0,X1),complement(meet(X0,X1))),join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2952,f6]) ).
fof(f3012,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))) = join(meet(X1,complement(meet(X0,X1))),join(meet(join(X0,X1),complement(meet(X0,X1))),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2971,f246]) ).
fof(f3048,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))) = join(meet(X1,complement(meet(X0,X1))),join(meet(X0,complement(meet(X0,X1))),meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f3012,f6]) ).
fof(f3079,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))) = join(meet(X1,complement(meet(X0,X1))),meet(join(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f3048,f1081]) ).
fof(f3241,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = join(X1,join(meet(X0,complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1))))),
inference(superposition,[],[f228,f3079]) ).
fof(f3266,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f3241,f839]) ).
fof(f3956,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(X0,X1))) = meet(join(X1,X0),complement(meet(X0,X1))),
inference(superposition,[],[f2914,f2945]) ).
fof(f4597,plain,
join(complement(a),meet(b,complement(meet(b,complement(a))))) = join(complement(a),meet(one,complement(meet(b,complement(a))))),
inference(superposition,[],[f3266,f893]) ).
fof(f4702,plain,
join(complement(a),meet(b,complement(meet(b,complement(a))))) = join(complement(a),complement(meet(b,complement(a)))),
inference(forward_demodulation,[],[f4597,f170]) ).
fof(f4749,plain,
one = join(complement(a),meet(b,complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f4702,f883]) ).
fof(f4875,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(meet(b,one),meet(complement(meet(b,complement(a))),join(complement(a),b)))),
inference(superposition,[],[f12,f4749]) ).
fof(f4903,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(meet(b,one),meet(join(complement(a),b),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4875,f5]) ).
fof(f4916,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(meet(b,one),meet(join(b,complement(a)),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4903,f3956]) ).
fof(f4926,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(meet(b,one),meet(one,complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4916,f893]) ).
fof(f4936,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(meet(b,one),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f4926,f170]) ).
fof(f4946,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(meet(one,b),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f4936,f5]) ).
fof(f4956,plain,
meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f4946,f170]) ).
fof(f4965,plain,
meet(complement(a),one) = meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4956,f867]) ).
fof(f4971,plain,
meet(complement(a),one) = meet(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4965,f5]) ).
fof(f4977,plain,
meet(one,complement(a)) = meet(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4971,f5]) ).
fof(f4982,plain,
complement(a) = meet(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f4977,f170]) ).
fof(f5001,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))),complement(a)),
inference(superposition,[],[f24,f4982]) ).
fof(f5031,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f5001,f6]) ).
fof(f5049,plain,
join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))) = join(complement(a),meet(b,complement(a))),
inference(forward_demodulation,[],[f5031,f839]) ).
fof(f5062,plain,
complement(a) = join(meet(b,complement(a)),meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f5049,f24]) ).
fof(f5140,plain,
join(b,complement(a)) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(superposition,[],[f228,f5062]) ).
fof(f5172,plain,
one = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f5140,f893]) ).
fof(f5308,plain,
complement(b) = meet(complement(a),complement(meet(b,complement(a)))),
inference(unit_resulting_resolution,[],[f11,f351,f5172]) ).
fof(f5431,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f4,f5308]) ).
fof(f5465,plain,
$false,
inference(forward_subsumption_resolution,[],[f5431,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT229-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n011.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 14:07:15 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.25/2.25 % (2444520)Input is clausal, will run a generic CNF schedule.
% 9.25/2.25 % (2444526)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2789358556:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.25/2.25 % (2444525)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=1243002779:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.25/2.25 % (2444528)lrs+10_1_sil=8000:sp=occurrence:random_seed=2110077937:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.25/2.25 % (2444527)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4123992032:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.25/2.25 % (2444529)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1623351237:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.25/2.25 % (2444531)dis-21_1_sil=8000:lcm=predicate:random_seed=1464027008: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)
% 9.25/2.25 % (2444530)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3218617191:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.25/2.25 % (2444531)Refutation not found, incomplete strategy
% 9.25/2.25 % (2444531)------------------------------
% 9.25/2.25 % (2444531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444531)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444531)Termination reason: Refutation not found, incomplete strategy
% 9.25/2.25 % (2444531)Time elapsed: 0.003 s
% 9.25/2.25 % (2444531)Peak memory usage: 88 MB
% 9.25/2.25 % (2444531)Instructions burned: 1 (million)
% 9.25/2.25 % (2444528)Instruction limit reached!
% 9.25/2.25 % (2444528)------------------------------
% 9.25/2.25 % (2444528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444528)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444528)Termination reason: Instruction limit
% 9.25/2.25 % (2444528)Termination phase: Saturation
% 9.25/2.25 % (2444528)Time elapsed: 0.104 s
% 9.25/2.25 % (2444528)Peak memory usage: 89 MB
% 9.25/2.25 % (2444528)Instructions burned: 107 (million)
% 9.25/2.25 % (2444529)Instruction limit reached!
% 9.25/2.25 % (2444529)------------------------------
% 9.25/2.25 % (2444529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444529)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444529)Termination reason: Instruction limit
% 9.25/2.25 % (2444529)Termination phase: Saturation
% 9.25/2.25 % (2444529)Time elapsed: 0.115 s
% 9.25/2.25 % (2444529)Peak memory usage: 89 MB
% 9.25/2.25 % (2444529)Instructions burned: 114 (million)
% 9.25/2.25 % (2444530)Instruction limit reached!
% 9.25/2.25 % (2444530)------------------------------
% 9.25/2.25 % (2444530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444530)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444530)Termination reason: Instruction limit
% 9.25/2.25 % (2444530)Termination phase: Saturation
% 9.25/2.25 % (2444530)Time elapsed: 0.170 s
% 9.25/2.25 % (2444530)Peak memory usage: 90 MB
% 9.25/2.25 % (2444530)Instructions burned: 180 (million)
% 9.25/2.25 % (2444531)------------------------------
% 9.25/2.25 % (2444531)------------------------------
% 9.25/2.25 % (2444539)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=2878254065:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.25/2.25 % (2444540)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1371077045:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 9.25/2.25 % (2444541)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1792880607:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.25/2.25 % (2444539)Instruction limit reached!
% 9.25/2.25 % (2444539)------------------------------
% 9.25/2.25 % (2444539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444539)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444539)Termination reason: Instruction limit
% 9.25/2.25 % (2444539)Termination phase: Saturation
% 9.25/2.25 % (2444539)Time elapsed: 0.129 s
% 9.25/2.25 % (2444539)Peak memory usage: 89 MB
% 9.25/2.25 % (2444539)Instructions burned: 144 (million)
% 9.25/2.25 % (2444540)Instruction limit reached!
% 9.25/2.25 % (2444540)------------------------------
% 9.25/2.25 % (2444540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444540)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444540)Termination reason: Instruction limit
% 9.25/2.25 % (2444540)Termination phase: Saturation
% 9.25/2.25 % (2444540)Time elapsed: 0.192 s
% 9.25/2.25 % (2444540)Peak memory usage: 90 MB
% 9.25/2.25 % (2444540)Instructions burned: 189 (million)
% 9.25/2.25 % (2444541)Instruction limit reached!
% 9.25/2.25 % (2444541)------------------------------
% 9.25/2.25 % (2444541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444541)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444541)Termination reason: Instruction limit
% 9.25/2.25 % (2444541)Termination phase: Saturation
% 9.25/2.25 % (2444541)Time elapsed: 0.192 s
% 9.25/2.25 % (2444541)Peak memory usage: 90 MB
% 9.25/2.25 % (2444541)Instructions burned: 219 (million)
% 9.25/2.25 % (2444543)lrs+10_64_to=lpo:sil=8000:random_seed=2446711890:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 9.25/2.25 % (2444546)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1884198304:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 9.25/2.25 % (2444526)First to succeed.
% 9.25/2.25 % (2444526)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2444520"
% 9.25/2.25 % (2444547)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4258615840:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 9.25/2.25 % (2444543)Instruction limit reached!
% 9.25/2.25 % (2444543)------------------------------
% 9.25/2.25 % (2444543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444543)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444543)Termination reason: Instruction limit
% 9.25/2.25 % (2444543)Termination phase: Saturation
% 9.25/2.25 % (2444543)Time elapsed: 0.126 s
% 9.25/2.25 % (2444543)Peak memory usage: 88 MB
% 9.25/2.25 % (2444543)Instructions burned: 127 (million)
% 9.25/2.25 % (2444548)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1623517969:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 9.25/2.25 % (2444546)Instruction limit reached!
% 9.25/2.25 % (2444546)------------------------------
% 9.25/2.25 % (2444546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444546)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444546)Termination reason: Instruction limit
% 9.25/2.25 % (2444546)Termination phase: Saturation
% 9.25/2.25 % (2444546)Time elapsed: 0.189 s
% 9.25/2.25 % (2444546)Peak memory usage: 90 MB
% 9.25/2.25 % (2444546)Instructions burned: 194 (million)
% 9.25/2.25 % (2444547)Instruction limit reached!
% 9.25/2.25 % (2444547)------------------------------
% 9.25/2.25 % (2444547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.25 % (2444547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.25 % (2444547)CaDiCaL version: 2.1.3
% 9.25/2.25 % (2444547)Termination reason: Instruction limit
% 9.25/2.25 % (2444547)Termination phase: Saturation
% 9.25/2.25 % (2444547)Time elapsed: 0.166 s
% 9.25/2.25 % (2444547)Peak memory usage: 90 MB
% 9.25/2.25 % (2444547)Instructions burned: 157 (million)
% 9.25/2.25 % (2444526)Refutation found. Thanks to Tanya!
% 9.25/2.25 % SZS status Unsatisfiable for theBenchmark
% 9.25/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 9.99/2.57 % (2444526)------------------------------
% 9.99/2.57 % (2444526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.57 % (2444526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.57 % (2444526)CaDiCaL version: 2.1.3
% 9.99/2.57 % (2444526)Termination reason: Refutation
% 9.99/2.57 % (2444526)Time elapsed: 0.840 s
% 9.99/2.57 % (2444526)Peak memory usage: 133 MB
% 9.99/2.57 % (2444526)Instructions burned: 1454 (million)
% 9.99/2.57 % (2444526)------------------------------
% 9.99/2.57 % (2444526)------------------------------
% 9.99/2.57 % (2444520)Success in time 1.307 s
% 9.99/2.57 % Vampire exiting
%------------------------------------------------------------------------------