%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT177-1 : 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 : n009.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 11:46:08 AM UTC 2026
% Result : Unsatisfiable 41.51s 12.53s
% Output : Refutation 47.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 15
% Syntax : Number of formulae : 151 ( 151 unt; 7 def)
% Number of atoms : 151 ( 150 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 271 ( 271 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
! [X2,X3,X0,X1] : join(X0,meet(X1,join(X2,meet(X0,X3)))) = join(X0,meet(join(X0,meet(X1,join(X0,X2))),join(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H79_dual) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = join(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = join(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
join(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(a,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF6,
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12,f16,f14,f12]) ).
fof(f28,plain,
sF2 = meet(sF2,sF5),
inference(superposition,[],[f3,f22]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X0,X3))))) = join(X1,meet(join(X1,meet(X2,join(X1,X0))),X0)),
inference(superposition,[],[f9,f4]) ).
fof(f41,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X0,X3))))) = join(X1,meet(X0,join(X1,meet(X2,join(X1,X0))))),
inference(forward_demodulation,[],[f35,f5]) ).
fof(f49,plain,
a = meet(a,sF3),
inference(superposition,[],[f3,f18]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : join(X0,meet(X2,join(X1,meet(X0,X3)))) = join(X0,meet(join(X0,meet(join(X0,X1),X2)),join(X1,X3))),
inference(superposition,[],[f9,f5]) ).
fof(f56,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : join(X2,meet(X3,join(X1,meet(X2,X0)))) = join(X2,meet(join(X2,meet(X3,join(X2,X1))),join(X0,X1))),
inference(superposition,[],[f9,f6]) ).
fof(f63,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X0,X1))),join(X0,X3))),
inference(superposition,[],[f9,f6]) ).
fof(f64,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f71,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X0,meet(X1,X2)))) = join(X1,meet(join(X1,X0),join(X0,X2))),
inference(superposition,[],[f9,f64]) ).
fof(f75,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,meet(join(X1,X0),join(X0,X2))),
inference(forward_demodulation,[],[f71,f3]) ).
fof(f85,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f56,f3]) ).
fof(f94,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X2,join(X0,meet(join(X0,X1),X1)))),
inference(superposition,[],[f9,f56]) ).
fof(f96,plain,
! [X2,X3,X0,X1] : join(X1,meet(join(X1,meet(X2,join(X1,X0))),X0)) = join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))),
inference(superposition,[],[f9,f56]) ).
fof(f100,plain,
! [X2,X3,X0,X1] : join(X1,meet(X0,join(X1,meet(X2,join(X1,X0))))) = join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))),
inference(forward_demodulation,[],[f96,f5]) ).
fof(f102,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,join(X0,meet(join(X0,X1),X1))))),
inference(forward_demodulation,[],[f94,f8]) ).
fof(f105,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f85,f6]) ).
fof(f107,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,join(X0,meet(X1,join(X0,X1)))))),
inference(forward_demodulation,[],[f102,f5]) ).
fof(f109,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f107,f64]) ).
fof(f111,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f118,plain,
! [X0] : meet(a,meet(sF5,X0)) = meet(sF6,X0),
inference(superposition,[],[f7,f24]) ).
fof(f119,plain,
! [X0] : meet(c,meet(sF3,X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f20]) ).
fof(f126,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f64,f7]) ).
fof(f127,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f56,f7]) ).
fof(f145,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f111,f5]) ).
fof(f149,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f56,f111]) ).
fof(f153,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f149,f6]) ).
fof(f162,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f164,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f56]) ).
fof(f169,plain,
! [X0] : join(b,join(sF0,X0)) = join(sF1,X0),
inference(superposition,[],[f8,f14]) ).
fof(f170,plain,
! [X0] : join(sF2,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f8,f22]) ).
fof(f176,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f3,f8]) ).
fof(f178,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f215,plain,
! [X2,X0,X1] : join(X0,meet(X0,X1)) = join(X0,meet(X2,meet(X0,X1))),
inference(superposition,[],[f162,f56]) ).
fof(f217,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f162,f6]) ).
fof(f234,plain,
! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0,
inference(forward_demodulation,[],[f215,f4]) ).
fof(f273,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,meet(X0,join(X0,meet(join(X0,X1),X2)))))) = join(X0,join(X0,meet(join(X0,X1),X2))),
inference(superposition,[],[f55,f64]) ).
fof(f297,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = join(X0,meet(X2,join(X1,meet(X0,join(X0,meet(join(X0,X1),X2)))))),
inference(forward_demodulation,[],[f273,f105]) ).
fof(f323,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = join(X0,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f297,f3]) ).
fof(f351,plain,
! [X0] : join(sF5,X0) = join(sF2,join(X0,sF4)),
inference(superposition,[],[f170,f6]) ).
fof(f410,plain,
! [X2,X3,X0,X1] : join(X2,meet(X3,join(X1,meet(X2,X0)))) = join(X2,meet(join(X0,X1),join(X2,meet(X3,join(X2,X1))))),
inference(superposition,[],[f62,f5]) ).
fof(f537,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))) = join(X1,meet(join(X1,meet(X2,join(X0,X1))),X0)),
inference(superposition,[],[f63,f56]) ).
fof(f591,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))) = join(X1,meet(X0,join(meet(X2,join(X0,X1)),X1))),
inference(forward_demodulation,[],[f537,f323]) ).
fof(f628,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))) = join(X1,meet(X0,join(X1,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f591,f6]) ).
fof(f646,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,join(X1,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f628,f127]) ).
fof(f771,plain,
! [X0] : meet(sF4,X0) = meet(c,meet(X0,sF3)),
inference(superposition,[],[f119,f5]) ).
fof(f2156,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X0,X1),join(X0,X2)),
inference(superposition,[],[f164,f3]) ).
fof(f2162,plain,
! [X0] : join(sF1,X0) = join(sF1,join(sF2,X0)),
inference(superposition,[],[f164,f16]) ).
fof(f2173,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f164,f6]) ).
fof(f2260,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f2156,f178]) ).
fof(f2283,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f2260,f8]) ).
fof(f3118,plain,
! [X0] : meet(sF6,X0) = meet(a,meet(X0,sF5)),
inference(superposition,[],[f118,f5]) ).
fof(f3326,plain,
! [X2,X0,X1] : join(X1,meet(X2,join(X0,X1))) = meet(join(X1,meet(X2,join(X0,X1))),join(X0,X1)),
inference(superposition,[],[f64,f109]) ).
fof(f3360,plain,
! [X2,X0,X1] : join(X1,meet(X2,join(X0,X1))) = meet(join(X0,X1),join(X1,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f3326,f5]) ).
fof(f3457,plain,
meet(c,a) = meet(sF4,a),
inference(superposition,[],[f771,f49]) ).
fof(f3493,plain,
meet(c,a) = meet(a,sF4),
inference(forward_demodulation,[],[f3457,f5]) ).
fof(f3504,plain,
meet(a,c) = meet(a,sF4),
inference(forward_demodulation,[],[f3493,f5]) ).
fof(f3507,plain,
sF0 = meet(a,sF4),
inference(forward_demodulation,[],[f3504,f12]) ).
fof(f3513,plain,
sF4 = join(sF4,sF0),
inference(superposition,[],[f56,f3507]) ).
fof(f3523,plain,
sF4 = join(sF0,sF4),
inference(forward_demodulation,[],[f3513,f6]) ).
fof(f3524,plain,
join(sF1,sF4) = join(b,sF4),
inference(superposition,[],[f169,f3523]) ).
fof(f3545,plain,
! [X0] : join(X0,sF4) = join(sF0,join(sF4,X0)),
inference(superposition,[],[f178,f3523]) ).
fof(f3567,plain,
join(sF5,sF1) = join(sF2,join(b,sF4)),
inference(superposition,[],[f351,f3524]) ).
fof(f3568,plain,
sF1 = meet(sF1,join(b,sF4)),
inference(superposition,[],[f3,f3524]) ).
fof(f3587,plain,
! [X0] : join(sF1,join(sF4,X0)) = join(X0,join(b,sF4)),
inference(superposition,[],[f178,f3524]) ).
fof(f3601,plain,
join(sF5,sF1) = join(b,join(sF4,sF2)),
inference(forward_demodulation,[],[f3567,f178]) ).
fof(f3608,plain,
join(sF5,sF1) = join(b,join(sF2,sF4)),
inference(forward_demodulation,[],[f3601,f6]) ).
fof(f3610,plain,
join(sF5,sF1) = join(b,sF5),
inference(forward_demodulation,[],[f3608,f22]) ).
fof(f3612,plain,
join(b,sF5) = join(sF1,sF5),
inference(forward_demodulation,[],[f3610,f6]) ).
fof(f3893,plain,
! [X0] : join(X0,b) = join(X0,meet(join(X0,b),sF1)),
inference(superposition,[],[f75,f14]) ).
fof(f3997,plain,
! [X0] : join(X0,b) = join(X0,meet(sF1,join(b,X0))),
inference(forward_demodulation,[],[f3893,f323]) ).
fof(f4105,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,meet(X0,X2)),join(X0,X1)),
inference(superposition,[],[f64,f217]) ).
fof(f4144,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X0,X1),join(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f4105,f5]) ).
fof(f6901,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X1,meet(X2,X0)),join(X0,X1)),
inference(superposition,[],[f64,f2173]) ).
fof(f6946,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X0,X1),join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f6901,f5]) ).
fof(f7070,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),join(X0,X2))),
inference(superposition,[],[f153,f3]) ).
fof(f9858,plain,
! [X0] : join(X0,sF0) = meet(join(X0,sF0),join(X0,sF4)),
inference(superposition,[],[f176,f3523]) ).
fof(f18948,plain,
! [X2,X3,X0,X1] : join(X0,meet(meet(X1,join(X2,X0)),join(X0,meet(X1,X2)))) = join(X0,meet(X2,join(meet(X1,join(X2,X0)),meet(X0,meet(X3,meet(X1,join(X2,X0))))))),
inference(superposition,[],[f100,f646]) ).
fof(f19066,plain,
! [X2,X0,X1] : join(X0,meet(meet(X1,join(X2,X0)),join(X0,meet(X1,X2)))) = join(X0,meet(X2,meet(X1,join(X2,X0)))),
inference(forward_demodulation,[],[f18948,f127]) ).
fof(f19187,plain,
! [X2,X0,X1] : join(X0,meet(X2,X1)) = join(X0,meet(meet(X1,join(X2,X0)),join(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f19066,f145]) ).
fof(f19264,plain,
! [X2,X0,X1] : join(X0,meet(X2,X1)) = join(X0,meet(X1,meet(join(X2,X0),join(X0,meet(X1,X2))))),
inference(forward_demodulation,[],[f19187,f7]) ).
fof(f19317,plain,
! [X2,X0,X1] : join(X0,meet(X2,X1)) = join(X0,meet(X1,join(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f19264,f6946]) ).
fof(f23834,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f19317,f5]) ).
fof(f23926,plain,
! [X2,X3,X0,X1] : join(X0,meet(join(X3,X2),join(X0,meet(X1,join(X0,X2))))) = join(X0,meet(join(X0,meet(X1,join(X0,X2))),join(X0,meet(X1,join(X2,meet(X0,X3)))))),
inference(superposition,[],[f19317,f62]) ).
fof(f24208,plain,
! [X2,X3,X0,X1] : meet(join(X0,meet(X1,join(X0,X2))),join(X0,meet(X1,join(X2,meet(X0,X3))))) = join(X0,meet(join(X3,X2),join(X0,meet(X1,join(X0,X2))))),
inference(forward_demodulation,[],[f23926,f7070]) ).
fof(f24365,plain,
! [X2,X3,X0,X1] : join(X0,meet(X1,join(X2,meet(X0,X3)))) = meet(join(X0,meet(X1,join(X0,X2))),join(X0,meet(X1,join(X2,meet(X0,X3))))),
inference(forward_demodulation,[],[f24208,f410]) ).
fof(f29652,plain,
! [X2,X3,X0,X1] : meet(X2,join(X0,meet(X1,join(X0,X2)))) = meet(X2,meet(join(X0,meet(X1,join(X0,X2))),join(X0,meet(X1,join(X2,meet(X0,meet(X2,X3))))))),
inference(superposition,[],[f126,f41]) ).
fof(f29896,plain,
! [X2,X3,X0,X1] : meet(X2,join(X0,meet(X1,join(X0,X2)))) = meet(X2,join(X0,meet(X1,join(X2,meet(X0,meet(X2,X3)))))),
inference(forward_demodulation,[],[f29652,f24365]) ).
fof(f30030,plain,
! [X2,X0,X1] : meet(X2,join(X0,meet(X1,join(X0,X2)))) = meet(X2,join(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f29896,f234]) ).
fof(f30105,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X1)))) = meet(X0,join(X1,meet(X2,X0))),
inference(superposition,[],[f30030,f6]) ).
fof(f46115,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,meet(X1,join(X2,X3)))) = meet(join(X2,X3),join(X3,meet(X0,meet(X1,join(X2,X3))))),
inference(superposition,[],[f3360,f7]) ).
fof(f52849,plain,
! [X0,X1] : join(join(X0,sF4),X1) = join(join(X0,sF4),join(X1,join(X0,sF0))),
inference(superposition,[],[f2173,f9858]) ).
fof(f52864,plain,
! [X0,X1] : join(join(X0,sF4),X1) = join(join(X0,sF0),join(join(X0,sF4),X1)),
inference(forward_demodulation,[],[f52849,f178]) ).
fof(f52929,plain,
! [X0,X1] : join(join(X0,sF4),X1) = join(X0,join(sF0,join(join(X0,sF4),X1))),
inference(forward_demodulation,[],[f52864,f8]) ).
fof(f52971,plain,
! [X0,X1] : join(X0,join(sF4,X1)) = join(X0,join(sF0,join(X0,join(sF4,X1)))),
inference(forward_demodulation,[],[f52929,f8]) ).
fof(f53002,plain,
! [X0,X1] : join(X0,join(sF4,X1)) = join(X0,join(join(sF4,X1),sF0)),
inference(forward_demodulation,[],[f52971,f2283]) ).
fof(f53020,plain,
! [X0,X1] : join(X0,join(sF4,X1)) = join(X0,join(sF0,join(sF4,X1))),
inference(forward_demodulation,[],[f53002,f6]) ).
fof(f53027,plain,
! [X0,X1] : join(X0,join(sF4,X1)) = join(X0,join(X1,sF4)),
inference(forward_demodulation,[],[f53020,f3545]) ).
fof(f56735,plain,
join(sF5,meet(sF1,join(b,sF4))) = join(sF2,join(sF4,b)),
inference(superposition,[],[f170,f3997]) ).
fof(f56738,plain,
join(sF2,join(b,sF4)) = join(sF5,meet(sF1,join(b,sF4))),
inference(forward_demodulation,[],[f56735,f53027]) ).
fof(f56906,plain,
join(sF5,sF1) = join(sF2,join(b,sF4)),
inference(forward_demodulation,[],[f56738,f3568]) ).
fof(f57020,plain,
join(sF5,sF1) = join(sF1,join(sF4,sF2)),
inference(forward_demodulation,[],[f56906,f3587]) ).
fof(f57094,plain,
join(sF5,sF1) = join(sF1,join(sF2,sF4)),
inference(forward_demodulation,[],[f57020,f53027]) ).
fof(f57137,plain,
join(sF1,sF4) = join(sF5,sF1),
inference(forward_demodulation,[],[f57094,f2162]) ).
fof(f57158,plain,
join(sF1,sF4) = join(sF1,sF5),
inference(forward_demodulation,[],[f57137,f6]) ).
fof(f57170,plain,
join(sF1,sF4) = join(b,sF5),
inference(forward_demodulation,[],[f57158,f3612]) ).
fof(f57177,plain,
join(b,sF4) = join(b,sF5),
inference(forward_demodulation,[],[f57170,f3524]) ).
fof(f57204,plain,
sF5 = meet(sF5,join(b,sF4)),
inference(superposition,[],[f64,f57177]) ).
fof(f57325,plain,
meet(a,sF5) = meet(sF6,join(b,sF4)),
inference(superposition,[],[f118,f57204]) ).
fof(f57407,plain,
sF6 = meet(sF6,join(b,sF4)),
inference(forward_demodulation,[],[f57325,f24]) ).
fof(f67037,plain,
! [X0] : meet(a,join(b,meet(X0,sF3))) = meet(a,join(b,meet(X0,a))),
inference(superposition,[],[f30105,f18]) ).
fof(f67242,plain,
! [X2,X0,X1] : meet(meet(X2,join(X0,X1)),join(X1,meet(X0,join(X1,meet(X2,X0))))) = meet(meet(X2,join(X0,X1)),join(X1,meet(X0,meet(X2,join(X0,X1))))),
inference(superposition,[],[f30030,f30105]) ).
fof(f67418,plain,
! [X2,X0,X1] : meet(meet(X2,join(X0,X1)),join(X1,meet(X0,join(X1,meet(X2,X0))))) = meet(X2,meet(join(X0,X1),join(X1,meet(X0,meet(X2,join(X0,X1)))))),
inference(forward_demodulation,[],[f67242,f7]) ).
fof(f67645,plain,
! [X2,X0,X1] : meet(meet(X2,join(X0,X1)),join(X1,meet(X0,join(X1,meet(X2,X0))))) = meet(X2,join(X1,meet(X0,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f67418,f46115]) ).
fof(f67793,plain,
! [X2,X0,X1] : meet(X2,join(X1,meet(X0,X2))) = meet(meet(X2,join(X0,X1)),join(X1,meet(X0,join(X1,meet(X2,X0))))),
inference(forward_demodulation,[],[f67645,f145]) ).
fof(f67877,plain,
! [X2,X0,X1] : meet(X2,join(X1,meet(X0,X2))) = meet(X2,meet(join(X0,X1),join(X1,meet(X0,join(X1,meet(X2,X0)))))),
inference(forward_demodulation,[],[f67793,f7]) ).
fof(f67916,plain,
! [X2,X0,X1] : meet(X2,join(X1,meet(X0,X2))) = meet(X2,join(X1,meet(X0,join(X1,meet(X2,X0))))),
inference(forward_demodulation,[],[f67877,f4144]) ).
fof(f67935,plain,
! [X2,X0,X1] : meet(X2,join(X1,meet(X0,X2))) = meet(X2,join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f67916,f23834]) ).
fof(f67955,plain,
meet(a,join(b,sF4)) = meet(a,join(b,meet(c,a))),
inference(superposition,[],[f67037,f20]) ).
fof(f68063,plain,
meet(a,join(b,meet(a,c))) = meet(a,join(b,sF4)),
inference(forward_demodulation,[],[f67955,f67935]) ).
fof(f68099,plain,
meet(a,join(b,sF4)) = meet(a,join(b,sF0)),
inference(forward_demodulation,[],[f68063,f12]) ).
fof(f68120,plain,
meet(a,sF1) = meet(a,join(b,sF4)),
inference(forward_demodulation,[],[f68099,f14]) ).
fof(f68134,plain,
sF2 = meet(a,join(b,sF4)),
inference(forward_demodulation,[],[f68120,f16]) ).
fof(f68169,plain,
! [X0] : meet(sF2,X0) = meet(a,meet(join(b,sF4),X0)),
inference(superposition,[],[f7,f68134]) ).
fof(f68784,plain,
meet(sF2,sF5) = meet(sF6,join(b,sF4)),
inference(superposition,[],[f3118,f68169]) ).
fof(f68870,plain,
sF6 = meet(sF2,sF5),
inference(forward_demodulation,[],[f68784,f57407]) ).
fof(f68929,plain,
sF2 = sF6,
inference(forward_demodulation,[],[f68870,f28]) ).
fof(f68958,plain,
$false,
inference(forward_subsumption_resolution,[],[f68929,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT177-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.39 % Computer : n009.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 27 14:04:20 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 41.51/12.53 % (2062688)Detected a unit-equality problem, will run specialized UEQ schedule.
% 41.51/12.53 % (2062693)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1033015785:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 41.51/12.53 % (2062698)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=628318000:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 41.51/12.53 % (2062696)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3581414878:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 41.51/12.53 % (2062697)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=783056224:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 41.51/12.53 % (2062695)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2774651176:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 41.51/12.53 % (2062694)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4265894449:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 41.51/12.53 % (2062699)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=857795412:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 41.51/12.53 % (2062697)Refutation not found, incomplete strategy
% 41.51/12.53 % (2062697)------------------------------
% 41.51/12.53 % (2062697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062697)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062697)Termination reason: Refutation not found, incomplete strategy
% 41.51/12.53 % (2062697)Time elapsed: 0.001 s
% 41.51/12.53 % (2062697)Peak memory usage: 87 MB
% 41.51/12.53 % (2062697)Instructions burned: 1 (million)
% 41.51/12.53 % (2062696)Instruction limit reached!
% 41.51/12.53 % (2062696)------------------------------
% 41.51/12.53 % (2062696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062696)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062696)Termination reason: Instruction limit
% 41.51/12.53 % (2062696)Termination phase: Saturation
% 41.51/12.53 % (2062696)Time elapsed: 0.083 s
% 41.51/12.53 % (2062696)Peak memory usage: 88 MB
% 41.51/12.53 % (2062696)Instructions burned: 136 (million)
% 41.51/12.53 % (2062698)Instruction limit reached!
% 41.51/12.53 % (2062698)------------------------------
% 41.51/12.53 % (2062698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062698)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062698)Termination reason: Instruction limit
% 41.51/12.53 % (2062698)Termination phase: Saturation
% 41.51/12.53 % (2062698)Time elapsed: 0.160 s
% 41.51/12.53 % (2062698)Peak memory usage: 90 MB
% 41.51/12.53 % (2062698)Instructions burned: 258 (million)
% 41.51/12.53 % (2062707)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4189673554:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 41.51/12.53 % (2062697)------------------------------
% 41.51/12.53 % (2062697)------------------------------
% 41.51/12.53 % (2062708)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=447470086:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 41.51/12.53 % (2062710)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2315657628:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 41.51/12.53 % (2062710)Instruction limit reached!
% 41.51/12.53 % (2062710)------------------------------
% 41.51/12.53 % (2062710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062710)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062710)Termination reason: Instruction limit
% 41.51/12.53 % (2062710)Termination phase: Saturation
% 41.51/12.53 % (2062710)Time elapsed: 0.101 s
% 41.51/12.53 % (2062710)Peak memory usage: 90 MB
% 41.51/12.53 % (2062710)Instructions burned: 215 (million)
% 41.51/12.53 % (2062699)Instruction limit reached!
% 41.51/12.53 % (2062699)------------------------------
% 41.51/12.53 % (2062699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062699)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062699)Termination reason: Instruction limit
% 41.51/12.53 % (2062699)Termination phase: Saturation
% 41.51/12.53 % (2062699)Time elapsed: 0.608 s
% 41.51/12.53 % (2062699)Peak memory usage: 97 MB
% 41.51/12.53 % (2062699)Instructions burned: 1188 (million)
% 41.51/12.53 % (2062713)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=330291370:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 41.51/12.53 % (2062715)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=217473225:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 41.51/12.53 % (2062713)Instruction limit reached!
% 41.51/12.53 % (2062713)------------------------------
% 41.51/12.53 % (2062713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062713)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062713)Termination reason: Instruction limit
% 41.51/12.53 % (2062713)Termination phase: Saturation
% 41.51/12.53 % (2062713)Time elapsed: 0.197 s
% 41.51/12.53 % (2062713)Peak memory usage: 93 MB
% 41.51/12.53 % (2062713)Instructions burned: 318 (million)
% 41.51/12.53 % (2062717)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3151704045:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 41.51/12.53 % (2062707)Instruction limit reached!
% 41.51/12.53 % (2062707)------------------------------
% 41.51/12.53 % (2062707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062707)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062707)Termination reason: Instruction limit
% 41.51/12.53 % (2062707)Termination phase: Saturation
% 41.51/12.53 % (2062707)Time elapsed: 1.282 s
% 41.51/12.53 % (2062707)Peak memory usage: 142 MB
% 41.51/12.53 % (2062707)Instructions burned: 2052 (million)
% 41.51/12.53 % (2062719)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3981700680:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 41.51/12.53 % (2062717)Instruction limit reached!
% 41.51/12.53 % (2062717)------------------------------
% 41.51/12.53 % (2062717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062717)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062717)Termination reason: Instruction limit
% 41.51/12.53 % (2062717)Termination phase: Saturation
% 41.51/12.53 % (2062717)Time elapsed: 1.843 s
% 41.51/12.53 % (2062717)Peak memory usage: 140 MB
% 41.51/12.53 % (2062717)Instructions burned: 2839 (million)
% 41.51/12.53 % (2062721)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3931107055:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2970 on theBenchmark for (2970ds/11832Mi)
% 41.51/12.53 % (2062708)Instruction limit reached!
% 41.51/12.53 % (2062708)------------------------------
% 41.51/12.53 % (2062708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062708)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062708)Termination reason: Instruction limit
% 41.51/12.53 % (2062708)Termination phase: Saturation
% 41.51/12.53 % (2062708)Time elapsed: 2.955 s
% 41.51/12.53 % (2062708)Peak memory usage: 163 MB
% 41.51/12.53 % (2062708)Instructions burned: 4948 (million)
% 41.51/12.53 % (2062723)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2919554478:i=2279:fgj=on:bd=all_2965 on theBenchmark for (2965ds/2279Mi)
% 41.51/12.53 % (2062723)Instruction limit reached!
% 41.51/12.53 % (2062723)------------------------------
% 41.51/12.53 % (2062723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.51/12.53 % (2062723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.51/12.53 % (2062723)CaDiCaL version: 2.1.3
% 41.51/12.53 % (2062723)Termination reason: Instruction limit
% 41.51/12.53 % (2062723)Termination phase: Saturation
% 41.51/12.53 % (2062723)Time elapsed: 1.372 s
% 41.51/12.53 % (2062723)Peak memory usage: 139 MB
% 41.51/12.53 % (2062723)Instructions burned: 2281 (million)
% 41.51/12.53 % (2062725)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1926884287:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2950 on theBenchmark for (2950ds/6225Mi)
% 41.51/12.53 % (2062715)First to succeed.
% 41.51/12.53 % (2062715)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2062688"
% 41.51/12.53 % (2062715)Refutation found. Thanks to Tanya!
% 41.51/12.53 % SZS status Unsatisfiable for theBenchmark
% 41.51/12.53 % SZS output start Proof for theBenchmark
% See solution above
% 47.84/12.72 % (2062715)------------------------------
% 47.84/12.72 % (2062715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.84/12.72 % (2062715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.84/12.72 % (2062715)CaDiCaL version: 2.1.3
% 47.84/12.72 % (2062715)Termination reason: Refutation
% 47.84/12.72 % (2062715)Time elapsed: 5.475 s
% 47.84/12.72 % (2062715)Peak memory usage: 211 MB
% 47.84/12.72 % (2062715)Instructions burned: 9230 (million)
% 47.84/12.72 % (2062715)------------------------------
% 47.84/12.72 % (2062715)------------------------------
% 47.84/12.72 % (2062688)Success in time 6.663 s
% 47.84/12.72 % Vampire exiting
%------------------------------------------------------------------------------