%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT170-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 22.97s 4.28s
% Output : Refutation 23.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 17
% Syntax : Number of formulae : 194 ( 194 unt; 8 def)
% Number of atoms : 194 ( 193 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(X1,meet(join(X0,X2),join(X2,meet(X1,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H49_dual) ).
fof(f10,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H58) ).
fof(f11,definition,
sF0 = join(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
join(b,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = meet(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(a,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(a,b) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(b,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(a,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(a,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sF1 != sF7,
inference(definition_folding,[],[f10,f26,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f28,plain,
sF1 = meet(sF0,a),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f29,plain,
sF4 = join(sF3,c),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f30,plain,
sF6 = join(sF5,b),
inference(forward_demodulation,[],[f24,f6]) ).
fof(f31,plain,
sF7 = meet(sF6,a),
inference(forward_demodulation,[],[f26,f5]) ).
fof(f32,plain,
b = meet(b,sF0),
inference(superposition,[],[f3,f12]) ).
fof(f33,plain,
b = meet(sF0,b),
inference(forward_demodulation,[],[f32,f5]) ).
fof(f34,plain,
a = meet(a,sF2),
inference(superposition,[],[f3,f16]) ).
fof(f35,plain,
a = meet(sF2,a),
inference(forward_demodulation,[],[f34,f5]) ).
fof(f37,plain,
sF5 = meet(sF5,sF6),
inference(superposition,[],[f3,f30]) ).
fof(f39,plain,
sF6 = join(sF6,sF7),
inference(superposition,[],[f4,f31]) ).
fof(f44,plain,
sF2 = join(sF2,sF5),
inference(superposition,[],[f4,f22]) ).
fof(f46,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f48,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f63,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f65,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f67,plain,
! [X0] : meet(sF0,meet(a,X0)) = meet(sF1,X0),
inference(superposition,[],[f7,f28]) ).
fof(f69,plain,
! [X0] : meet(a,meet(b,X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f18]) ).
fof(f70,plain,
! [X0] : meet(sF2,meet(sF4,X0)) = meet(sF5,X0),
inference(superposition,[],[f7,f22]) ).
fof(f76,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f82,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f86,plain,
! [X0] : join(a,join(b,X0)) = join(sF2,X0),
inference(superposition,[],[f8,f16]) ).
fof(f87,plain,
! [X0] : join(b,join(c,X0)) = join(sF0,X0),
inference(superposition,[],[f8,f12]) ).
fof(f89,plain,
! [X0] : join(sF5,join(b,X0)) = join(sF6,X0),
inference(superposition,[],[f8,f30]) ).
fof(f106,plain,
! [X0,X1] : join(b,meet(X0,join(c,meet(b,X1)))) = join(b,meet(X0,meet(sF0,join(c,meet(X0,X1))))),
inference(superposition,[],[f9,f12]) ).
fof(f108,plain,
! [X0,X1] : join(sF5,meet(X0,join(b,meet(sF5,X1)))) = join(sF5,meet(X0,meet(sF6,join(b,meet(X0,X1))))),
inference(superposition,[],[f9,f30]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : join(X2,meet(X1,join(X3,meet(X2,X0)))) = join(X2,meet(X1,meet(join(X2,X3),join(X3,meet(X0,X1))))),
inference(superposition,[],[f9,f5]) ).
fof(f116,plain,
! [X0,X1] : join(X0,meet(a,join(X1,meet(X0,b)))) = join(X0,meet(a,meet(join(X0,X1),join(X1,sF3)))),
inference(superposition,[],[f9,f18]) ).
fof(f174,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f65,f46]) ).
fof(f178,plain,
! [X0] : meet(a,X0) = meet(a,meet(sF2,X0)),
inference(superposition,[],[f65,f16]) ).
fof(f202,plain,
! [X0] : meet(a,X0) = meet(sF2,meet(X0,a)),
inference(forward_demodulation,[],[f178,f76]) ).
fof(f207,plain,
! [X0] : meet(sF3,X0) = meet(a,meet(X0,b)),
inference(superposition,[],[f69,f5]) ).
fof(f222,plain,
! [X0] : meet(sF5,X0) = meet(sF2,meet(X0,sF4)),
inference(superposition,[],[f70,f5]) ).
fof(f239,plain,
! [X0] : join(sF0,X0) = join(b,join(X0,c)),
inference(superposition,[],[f87,f6]) ).
fof(f259,plain,
! [X0] : join(sF2,X0) = join(a,join(X0,b)),
inference(superposition,[],[f86,f6]) ).
fof(f299,plain,
join(sF6,c) = join(sF5,sF0),
inference(superposition,[],[f89,f12]) ).
fof(f305,plain,
! [X0] : join(sF6,X0) = join(sF5,join(X0,b)),
inference(superposition,[],[f89,f6]) ).
fof(f318,plain,
join(sF6,c) = join(sF0,sF5),
inference(forward_demodulation,[],[f299,f6]) ).
fof(f322,plain,
! [X0] : meet(sF1,X0) = meet(sF0,meet(X0,a)),
inference(superposition,[],[f67,f5]) ).
fof(f327,plain,
meet(sF1,b) = meet(sF0,sF3),
inference(superposition,[],[f67,f18]) ).
fof(f333,plain,
meet(sF0,sF3) = meet(b,sF1),
inference(forward_demodulation,[],[f327,f5]) ).
fof(f360,plain,
sF1 = join(sF1,meet(sF0,sF3)),
inference(superposition,[],[f46,f333]) ).
fof(f423,plain,
meet(sF0,a) = meet(sF1,a),
inference(superposition,[],[f67,f1]) ).
fof(f439,plain,
meet(sF0,a) = meet(a,sF1),
inference(forward_demodulation,[],[f423,f5]) ).
fof(f444,plain,
sF1 = meet(a,sF1),
inference(forward_demodulation,[],[f439,f28]) ).
fof(f618,plain,
sF6 = meet(sF6,join(sF0,sF5)),
inference(superposition,[],[f3,f318]) ).
fof(f622,plain,
! [X0] : meet(sF6,X0) = meet(sF6,meet(join(sF0,sF5),X0)),
inference(superposition,[],[f65,f318]) ).
fof(f895,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X1,X0),meet(X0,X2)),
inference(superposition,[],[f63,f48]) ).
fof(f942,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f895,f76]) ).
fof(f1086,plain,
sF0 = join(sF0,b),
inference(superposition,[],[f4,f33]) ).
fof(f1107,plain,
meet(a,b) = meet(sF3,sF0),
inference(superposition,[],[f207,f33]) ).
fof(f1138,plain,
meet(a,b) = meet(sF0,sF3),
inference(forward_demodulation,[],[f1107,f5]) ).
fof(f1145,plain,
sF3 = meet(sF0,sF3),
inference(forward_demodulation,[],[f1138,f18]) ).
fof(f1151,plain,
sF1 = join(sF1,sF3),
inference(backward_demodulation,[],[f360,f1145]) ).
fof(f1154,plain,
sF3 = meet(b,sF1),
inference(backward_demodulation,[],[f333,f1145]) ).
fof(f1156,plain,
sF1 = join(sF3,sF1),
inference(forward_demodulation,[],[f1151,f6]) ).
fof(f1160,plain,
sF3 = meet(sF3,sF1),
inference(superposition,[],[f3,f1156]) ).
fof(f1169,plain,
sF0 = join(sF0,sF3),
inference(superposition,[],[f4,f1145]) ).
fof(f1179,plain,
meet(sF3,sF1) = meet(a,sF3),
inference(superposition,[],[f69,f1154]) ).
fof(f1193,plain,
meet(sF3,sF1) = meet(sF3,a),
inference(forward_demodulation,[],[f1179,f5]) ).
fof(f1194,plain,
sF3 = meet(sF3,a),
inference(forward_demodulation,[],[f1193,f1160]) ).
fof(f1233,plain,
join(sF0,sF3) = join(b,sF4),
inference(superposition,[],[f239,f29]) ).
fof(f1259,plain,
join(sF0,sF3) = join(sF4,b),
inference(forward_demodulation,[],[f1233,f6]) ).
fof(f1267,plain,
sF0 = join(sF4,b),
inference(forward_demodulation,[],[f1259,f1169]) ).
fof(f1269,plain,
sF4 = meet(sF4,sF0),
inference(superposition,[],[f3,f1267]) ).
fof(f1279,plain,
sF4 = meet(sF0,sF4),
inference(forward_demodulation,[],[f1269,f5]) ).
fof(f1285,plain,
! [X0] : meet(X0,sF4) = meet(sF0,meet(sF4,X0)),
inference(superposition,[],[f76,f1279]) ).
fof(f1326,plain,
join(sF2,sF5) = join(a,sF6),
inference(superposition,[],[f259,f30]) ).
fof(f1346,plain,
join(sF2,sF5) = join(sF6,a),
inference(forward_demodulation,[],[f1326,f6]) ).
fof(f1355,plain,
sF2 = join(sF6,a),
inference(forward_demodulation,[],[f1346,f44]) ).
fof(f1388,plain,
sF6 = meet(sF6,sF2),
inference(superposition,[],[f3,f1355]) ).
fof(f1398,plain,
sF6 = meet(sF2,sF6),
inference(forward_demodulation,[],[f1388,f5]) ).
fof(f1404,plain,
! [X0] : meet(X0,sF6) = meet(sF2,meet(sF6,X0)),
inference(superposition,[],[f76,f1398]) ).
fof(f1410,plain,
meet(sF0,a) = meet(sF1,sF2),
inference(superposition,[],[f322,f35]) ).
fof(f1412,plain,
meet(sF1,sF6) = meet(sF0,sF7),
inference(superposition,[],[f322,f31]) ).
fof(f1439,plain,
meet(sF0,sF7) = meet(sF6,sF1),
inference(forward_demodulation,[],[f1412,f5]) ).
fof(f1441,plain,
meet(sF0,a) = meet(sF2,sF1),
inference(forward_demodulation,[],[f1410,f5]) ).
fof(f1449,plain,
sF1 = meet(sF2,sF1),
inference(forward_demodulation,[],[f1441,f28]) ).
fof(f1690,plain,
! [X0,X1] : join(X0,meet(a,join(X1,meet(X0,sF0)))) = join(X0,meet(a,meet(join(X0,X1),join(X1,sF1)))),
inference(superposition,[],[f110,f28]) ).
fof(f1692,plain,
! [X0,X1] : join(X0,meet(a,meet(join(X0,X1),join(X1,sF3)))) = join(X0,meet(a,join(X1,meet(X0,sF3)))),
inference(superposition,[],[f110,f1194]) ).
fof(f1773,plain,
! [X0,X1] : join(X0,meet(a,join(X1,meet(X0,b)))) = join(X0,meet(a,join(X1,meet(X0,sF3)))),
inference(backward_demodulation,[],[f116,f1692]) ).
fof(f2150,plain,
sF6 = join(sF6,sF5),
inference(superposition,[],[f46,f37]) ).
fof(f2162,plain,
sF6 = join(sF5,sF6),
inference(forward_demodulation,[],[f2150,f6]) ).
fof(f2182,plain,
sF1 = meet(sF0,sF1),
inference(superposition,[],[f174,f28]) ).
fof(f2219,plain,
! [X0] : meet(a,meet(b,X0)) = meet(sF3,meet(b,X0)),
inference(superposition,[],[f69,f174]) ).
fof(f2245,plain,
! [X0] : meet(sF3,X0) = meet(sF3,meet(b,X0)),
inference(forward_demodulation,[],[f2219,f69]) ).
fof(f3554,plain,
join(sF5,sF0) = join(sF6,sF0),
inference(superposition,[],[f305,f1086]) ).
fof(f3591,plain,
join(sF5,sF0) = join(sF0,sF6),
inference(forward_demodulation,[],[f3554,f6]) ).
fof(f3606,plain,
join(sF0,sF5) = join(sF0,sF6),
inference(forward_demodulation,[],[f3591,f6]) ).
fof(f3765,plain,
meet(sF5,a) = meet(a,sF4),
inference(superposition,[],[f70,f202]) ).
fof(f3786,plain,
meet(sF5,a) = meet(sF4,a),
inference(forward_demodulation,[],[f3765,f5]) ).
fof(f3938,plain,
meet(sF2,sF4) = meet(sF5,sF0),
inference(superposition,[],[f222,f1279]) ).
fof(f3983,plain,
meet(sF2,sF4) = meet(sF0,sF5),
inference(forward_demodulation,[],[f3938,f5]) ).
fof(f3995,plain,
sF5 = meet(sF0,sF5),
inference(forward_demodulation,[],[f3983,f22]) ).
fof(f4003,plain,
sF0 = join(sF0,sF5),
inference(superposition,[],[f4,f3995]) ).
fof(f4025,plain,
sF6 = meet(sF6,sF0),
inference(backward_demodulation,[],[f618,f4003]) ).
fof(f4028,plain,
! [X0] : meet(sF6,X0) = meet(sF6,meet(sF0,X0)),
inference(backward_demodulation,[],[f622,f4003]) ).
fof(f4042,plain,
sF0 = join(sF0,sF6),
inference(backward_demodulation,[],[f3606,f4003]) ).
fof(f4048,plain,
! [X0] : meet(sF6,X0) = meet(sF0,meet(X0,sF6)),
inference(forward_demodulation,[],[f4028,f76]) ).
fof(f4050,plain,
sF6 = meet(sF0,sF6),
inference(forward_demodulation,[],[f4025,f5]) ).
fof(f4058,plain,
! [X0] : meet(X0,sF6) = meet(sF0,meet(sF6,X0)),
inference(superposition,[],[f76,f4050]) ).
fof(f4060,plain,
! [X0] : join(sF0,X0) = join(sF0,join(sF6,X0)),
inference(superposition,[],[f82,f4050]) ).
fof(f4925,plain,
! [X2,X0,X1] : join(X0,meet(a,join(X2,meet(meet(X0,X1),b)))) = join(X0,join(meet(X0,X1),meet(a,join(X2,meet(meet(X0,X1),sF3))))),
inference(superposition,[],[f82,f1773]) ).
fof(f4942,plain,
! [X2,X0,X1] : join(X0,meet(a,join(X2,meet(meet(X0,X1),b)))) = join(X0,meet(a,join(X2,meet(meet(X0,X1),sF3)))),
inference(forward_demodulation,[],[f4925,f82]) ).
fof(f4974,plain,
! [X2,X0,X1] : join(X0,meet(a,join(X2,meet(meet(X0,X1),b)))) = join(X0,meet(a,join(X2,meet(X0,meet(X1,sF3))))),
inference(forward_demodulation,[],[f4942,f7]) ).
fof(f4987,plain,
! [X2,X0,X1] : join(X0,meet(a,join(X2,meet(X0,meet(X1,sF3))))) = join(X0,meet(a,join(X2,meet(X0,meet(X1,b))))),
inference(forward_demodulation,[],[f4974,f7]) ).
fof(f5153,plain,
meet(sF1,sF5) = meet(sF0,meet(sF4,a)),
inference(superposition,[],[f322,f3786]) ).
fof(f5175,plain,
meet(a,sF4) = meet(sF1,sF5),
inference(forward_demodulation,[],[f5153,f1285]) ).
fof(f5180,plain,
meet(a,sF4) = meet(sF5,sF1),
inference(forward_demodulation,[],[f5175,f5]) ).
fof(f5183,plain,
meet(sF4,a) = meet(sF5,sF1),
inference(forward_demodulation,[],[f5180,f5]) ).
fof(f6741,plain,
join(sF5,meet(sF0,join(b,meet(sF5,a)))) = join(sF5,meet(sF0,meet(sF6,join(b,sF1)))),
inference(superposition,[],[f108,f28]) ).
fof(f6742,plain,
join(sF5,meet(sF2,join(b,meet(sF5,a)))) = join(sF5,meet(sF2,meet(sF6,join(b,a)))),
inference(superposition,[],[f108,f35]) ).
fof(f6754,plain,
join(sF5,meet(sF2,join(b,meet(sF5,sF1)))) = join(sF5,meet(sF2,meet(sF6,join(b,sF1)))),
inference(superposition,[],[f108,f1449]) ).
fof(f6859,plain,
join(sF5,meet(sF2,join(b,meet(sF5,sF1)))) = join(sF5,meet(join(b,sF1),sF6)),
inference(forward_demodulation,[],[f6754,f1404]) ).
fof(f6871,plain,
join(sF5,meet(sF2,join(b,meet(sF5,a)))) = join(sF5,meet(join(b,a),sF6)),
inference(forward_demodulation,[],[f6742,f1404]) ).
fof(f6872,plain,
join(sF5,meet(sF0,join(b,meet(sF5,a)))) = join(sF5,meet(join(b,sF1),sF6)),
inference(forward_demodulation,[],[f6741,f4058]) ).
fof(f6920,plain,
join(sF5,meet(sF2,join(b,meet(sF5,sF1)))) = join(sF5,meet(sF6,join(b,sF1))),
inference(forward_demodulation,[],[f6859,f5]) ).
fof(f6930,plain,
join(sF5,meet(sF2,join(b,meet(sF5,a)))) = join(sF5,meet(sF6,join(b,a))),
inference(forward_demodulation,[],[f6871,f5]) ).
fof(f6931,plain,
join(sF5,meet(sF0,join(b,meet(sF5,a)))) = join(sF5,meet(sF6,join(b,sF1))),
inference(forward_demodulation,[],[f6872,f5]) ).
fof(f6965,plain,
join(sF5,meet(sF6,join(b,sF1))) = join(sF5,meet(sF2,join(b,meet(sF4,a)))),
inference(forward_demodulation,[],[f6920,f5183]) ).
fof(f6975,plain,
join(sF5,meet(sF2,join(b,meet(sF5,a)))) = join(sF5,meet(sF6,join(a,b))),
inference(forward_demodulation,[],[f6930,f6]) ).
fof(f6976,plain,
join(sF5,meet(sF6,join(b,sF1))) = join(sF5,meet(sF0,join(b,meet(sF4,a)))),
inference(forward_demodulation,[],[f6931,f3786]) ).
fof(f7011,plain,
join(sF5,meet(sF2,join(b,meet(sF5,a)))) = join(sF5,meet(sF6,sF2)),
inference(forward_demodulation,[],[f6975,f16]) ).
fof(f7034,plain,
join(sF5,meet(sF2,join(b,meet(sF5,a)))) = join(sF5,meet(sF2,sF6)),
inference(forward_demodulation,[],[f7011,f5]) ).
fof(f7049,plain,
join(sF5,sF6) = join(sF5,meet(sF2,join(b,meet(sF5,a)))),
inference(forward_demodulation,[],[f7034,f1398]) ).
fof(f7059,plain,
join(sF5,sF6) = join(sF5,meet(sF2,join(b,meet(sF4,a)))),
inference(forward_demodulation,[],[f7049,f3786]) ).
fof(f7067,plain,
sF6 = join(sF5,meet(sF2,join(b,meet(sF4,a)))),
inference(forward_demodulation,[],[f7059,f2162]) ).
fof(f7073,plain,
sF6 = join(sF5,meet(sF6,join(b,sF1))),
inference(backward_demodulation,[],[f6965,f7067]) ).
fof(f7076,plain,
sF6 = join(sF5,meet(sF0,join(b,meet(sF4,a)))),
inference(backward_demodulation,[],[f6976,f7073]) ).
fof(f7587,plain,
! [X0] : join(b,meet(a,join(c,meet(b,meet(b,X0))))) = join(b,meet(a,meet(sF0,join(c,meet(sF3,X0))))),
inference(superposition,[],[f106,f69]) ).
fof(f7588,plain,
! [X0] : join(b,meet(a,meet(sF0,join(c,meet(sF3,X0))))) = join(b,meet(a,join(c,meet(b,meet(X0,b))))),
inference(superposition,[],[f106,f207]) ).
fof(f7759,plain,
! [X0] : join(b,meet(a,meet(sF0,join(c,meet(sF3,X0))))) = join(b,meet(a,join(c,meet(b,meet(X0,sF3))))),
inference(forward_demodulation,[],[f7588,f4987]) ).
fof(f7760,plain,
! [X0] : join(b,meet(a,join(c,meet(b,meet(b,X0))))) = join(b,meet(sF0,meet(join(c,meet(sF3,X0)),a))),
inference(forward_demodulation,[],[f7587,f76]) ).
fof(f7822,plain,
! [X0] : join(b,meet(a,meet(sF0,join(c,meet(sF3,X0))))) = join(b,meet(a,join(c,meet(sF3,meet(b,X0))))),
inference(forward_demodulation,[],[f7759,f76]) ).
fof(f7823,plain,
! [X0] : join(b,meet(a,join(c,meet(b,meet(b,X0))))) = join(b,meet(sF1,join(c,meet(sF3,X0)))),
inference(forward_demodulation,[],[f7760,f322]) ).
fof(f7868,plain,
! [X0] : join(b,meet(a,meet(sF0,join(c,meet(sF3,X0))))) = join(b,meet(a,join(c,meet(sF3,X0)))),
inference(forward_demodulation,[],[f7822,f2245]) ).
fof(f7869,plain,
! [X0] : join(b,meet(sF1,join(c,meet(sF3,X0)))) = join(b,meet(a,join(c,meet(b,X0)))),
inference(forward_demodulation,[],[f7823,f174]) ).
fof(f7901,plain,
! [X0] : join(b,meet(sF0,meet(join(c,meet(sF3,X0)),a))) = join(b,meet(a,join(c,meet(sF3,X0)))),
inference(forward_demodulation,[],[f7868,f76]) ).
fof(f7923,plain,
! [X0] : join(b,meet(sF1,join(c,meet(sF3,X0)))) = join(b,meet(a,join(c,meet(sF3,X0)))),
inference(forward_demodulation,[],[f7901,f322]) ).
fof(f7940,plain,
! [X0] : join(b,meet(a,join(c,meet(sF3,X0)))) = join(b,meet(a,join(c,meet(b,X0)))),
inference(backward_demodulation,[],[f7869,f7923]) ).
fof(f8146,plain,
! [X0,X1] : join(X0,meet(a,meet(join(X0,X1),join(X1,sF1)))) = join(X0,meet(a,join(X1,meet(X0,sF1)))),
inference(superposition,[],[f9,f444]) ).
fof(f8155,plain,
join(b,meet(a,join(c,meet(b,sF1)))) = join(b,meet(a,meet(sF0,join(c,sF1)))),
inference(superposition,[],[f106,f444]) ).
fof(f8168,plain,
join(b,meet(a,join(c,meet(b,sF1)))) = join(b,meet(sF0,meet(join(c,sF1),a))),
inference(forward_demodulation,[],[f8155,f76]) ).
fof(f8173,plain,
! [X0,X1] : join(X0,meet(a,join(X1,meet(X0,sF0)))) = join(X0,meet(a,join(X1,meet(X0,sF1)))),
inference(forward_demodulation,[],[f8146,f1690]) ).
fof(f8178,plain,
join(b,meet(a,join(c,meet(b,sF1)))) = join(b,meet(sF1,join(c,sF1))),
inference(forward_demodulation,[],[f8168,f322]) ).
fof(f8186,plain,
join(b,sF1) = join(b,meet(a,join(c,meet(b,sF1)))),
inference(forward_demodulation,[],[f8178,f48]) ).
fof(f8189,plain,
join(b,sF1) = join(b,meet(a,join(c,meet(b,sF0)))),
inference(forward_demodulation,[],[f8186,f8173]) ).
fof(f8192,plain,
join(b,sF1) = join(b,meet(a,join(c,meet(sF3,sF0)))),
inference(forward_demodulation,[],[f8189,f7940]) ).
fof(f8195,plain,
join(b,sF1) = join(b,meet(a,join(c,meet(sF0,sF3)))),
inference(forward_demodulation,[],[f8192,f5]) ).
fof(f8198,plain,
join(b,sF1) = join(b,meet(a,join(c,sF3))),
inference(forward_demodulation,[],[f8195,f1145]) ).
fof(f8201,plain,
join(b,sF1) = join(b,meet(a,join(sF3,c))),
inference(forward_demodulation,[],[f8198,f6]) ).
fof(f8203,plain,
join(b,sF1) = join(b,meet(a,sF4)),
inference(forward_demodulation,[],[f8201,f29]) ).
fof(f8204,plain,
join(b,sF1) = join(b,meet(sF4,a)),
inference(forward_demodulation,[],[f8203,f5]) ).
fof(f8207,plain,
sF6 = join(sF5,meet(sF0,join(b,sF1))),
inference(backward_demodulation,[],[f7076,f8204]) ).
fof(f9243,plain,
join(sF0,sF6) = join(sF0,sF7),
inference(superposition,[],[f4060,f39]) ).
fof(f9320,plain,
sF0 = join(sF0,sF7),
inference(forward_demodulation,[],[f9243,f4042]) ).
fof(f9353,plain,
sF7 = meet(sF7,sF0),
inference(superposition,[],[f48,f9320]) ).
fof(f9377,plain,
sF7 = meet(sF0,sF7),
inference(forward_demodulation,[],[f9353,f5]) ).
fof(f9379,plain,
sF7 = meet(sF6,sF1),
inference(backward_demodulation,[],[f1439,f9377]) ).
fof(f15098,plain,
meet(sF0,join(b,sF1)) = meet(meet(sF0,join(b,sF1)),sF6),
inference(superposition,[],[f48,f8207]) ).
fof(f15128,plain,
meet(sF0,join(b,sF1)) = meet(sF0,meet(join(b,sF1),sF6)),
inference(forward_demodulation,[],[f15098,f7]) ).
fof(f15141,plain,
meet(sF6,join(b,sF1)) = meet(sF0,join(b,sF1)),
inference(forward_demodulation,[],[f15128,f4048]) ).
fof(f15164,plain,
meet(sF1,sF6) = meet(sF1,meet(sF0,join(b,sF1))),
inference(superposition,[],[f942,f15141]) ).
fof(f15205,plain,
meet(sF1,sF0) = meet(sF1,sF6),
inference(forward_demodulation,[],[f15164,f942]) ).
fof(f15214,plain,
meet(sF1,sF0) = meet(sF6,sF1),
inference(forward_demodulation,[],[f15205,f5]) ).
fof(f15219,plain,
sF7 = meet(sF1,sF0),
inference(forward_demodulation,[],[f15214,f9379]) ).
fof(f15223,plain,
sF7 = meet(sF0,sF1),
inference(forward_demodulation,[],[f15219,f5]) ).
fof(f15226,plain,
sF1 = sF7,
inference(forward_demodulation,[],[f15223,f2182]) ).
fof(f15229,plain,
$false,
inference(forward_subsumption_resolution,[],[f15226,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT170-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 % Computer : n002.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 14:07:21 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 22.97/4.28 % (3556784)Detected a unit-equality problem, will run specialized UEQ schedule.
% 22.97/4.28 % (3556789)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=2530373970:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 22.97/4.28 % (3556794)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3216845085:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 22.97/4.28 % (3556791)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=949499531:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 22.97/4.28 % (3556795)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3643356249:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 22.97/4.28 % (3556792)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3120063250:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 22.97/4.28 % (3556790)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=2821193952:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 22.97/4.28 % (3556793)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3511600733:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 22.97/4.28 % (3556793)Refutation not found, incomplete strategy
% 22.97/4.28 % (3556793)------------------------------
% 22.97/4.28 % (3556793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556793)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556793)Termination reason: Refutation not found, incomplete strategy
% 22.97/4.28 % (3556793)Time elapsed: 0.002 s
% 22.97/4.28 % (3556793)Peak memory usage: 87 MB
% 22.97/4.28 % (3556793)Instructions burned: 1 (million)
% 22.97/4.28 % (3556792)Instruction limit reached!
% 22.97/4.28 % (3556792)------------------------------
% 22.97/4.28 % (3556792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556792)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556792)Termination reason: Instruction limit
% 22.97/4.28 % (3556792)Termination phase: Saturation
% 22.97/4.28 % (3556792)Time elapsed: 0.133 s
% 22.97/4.28 % (3556792)Peak memory usage: 88 MB
% 22.97/4.28 % (3556792)Instructions burned: 137 (million)
% 22.97/4.28 % (3556794)Instruction limit reached!
% 22.97/4.28 % (3556794)------------------------------
% 22.97/4.28 % (3556794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556794)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556794)Termination reason: Instruction limit
% 22.97/4.28 % (3556794)Termination phase: Saturation
% 22.97/4.28 % (3556794)Time elapsed: 0.225 s
% 22.97/4.28 % (3556794)Peak memory usage: 90 MB
% 22.97/4.28 % (3556794)Instructions burned: 260 (million)
% 22.97/4.28 % (3556803)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3988039677:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 22.97/4.28 % (3556793)------------------------------
% 22.97/4.28 % (3556793)------------------------------
% 22.97/4.28 % (3556804)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1469598445:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 22.97/4.28 % (3556807)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2049461811:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 22.97/4.28 % (3556807)Instruction limit reached!
% 22.97/4.28 % (3556807)------------------------------
% 22.97/4.28 % (3556807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556807)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556807)Termination reason: Instruction limit
% 22.97/4.28 % (3556807)Termination phase: Saturation
% 22.97/4.28 % (3556807)Time elapsed: 0.074 s
% 22.97/4.28 % (3556807)Peak memory usage: 90 MB
% 22.97/4.28 % (3556807)Instructions burned: 217 (million)
% 22.97/4.28 % (3556810)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=3507426814:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 22.97/4.28 % (3556795)Instruction limit reached!
% 22.97/4.28 % (3556795)------------------------------
% 22.97/4.28 % (3556795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556795)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556795)Termination reason: Instruction limit
% 22.97/4.28 % (3556795)Termination phase: Saturation
% 22.97/4.28 % (3556795)Time elapsed: 0.980 s
% 22.97/4.28 % (3556795)Peak memory usage: 97 MB
% 22.97/4.28 % (3556795)Instructions burned: 1187 (million)
% 22.97/4.28 % (3556810)Instruction limit reached!
% 22.97/4.28 % (3556810)------------------------------
% 22.97/4.28 % (3556810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556810)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556810)Termination reason: Instruction limit
% 22.97/4.28 % (3556810)Termination phase: Saturation
% 22.97/4.28 % (3556810)Time elapsed: 0.291 s
% 22.97/4.28 % (3556810)Peak memory usage: 94 MB
% 22.97/4.28 % (3556810)Instructions burned: 317 (million)
% 22.97/4.28 % (3556813)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=1612058793:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 22.97/4.28 % (3556815)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3479630838:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 22.97/4.28 % (3556803)Instruction limit reached!
% 22.97/4.28 % (3556803)------------------------------
% 22.97/4.28 % (3556803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.97/4.28 % (3556803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/4.28 % (3556803)CaDiCaL version: 2.1.3
% 22.97/4.28 % (3556803)Termination reason: Instruction limit
% 22.97/4.28 % (3556803)Termination phase: Saturation
% 22.97/4.28 % (3556803)Time elapsed: 2.093 s
% 22.97/4.28 % (3556803)Peak memory usage: 142 MB
% 22.97/4.28 % (3556803)Instructions burned: 2051 (million)
% 22.97/4.28 % (3556818)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2419560570:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 22.97/4.28 % (3556791)First to succeed.
% 22.97/4.28 % (3556791)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3556784"
% 22.97/4.28 % (3556791)Refutation found. Thanks to Tanya!
% 22.97/4.28 % SZS status Unsatisfiable for theBenchmark
% 22.97/4.28 % SZS output start Proof for theBenchmark
% See solution above
% 23.76/4.58 % (3556791)------------------------------
% 23.76/4.58 % (3556791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.76/4.58 % (3556791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.76/4.58 % (3556791)CaDiCaL version: 2.1.3
% 23.76/4.58 % (3556791)Termination reason: Refutation
% 23.76/4.58 % (3556791)Time elapsed: 2.706 s
% 23.76/4.58 % (3556791)Peak memory usage: 159 MB
% 23.76/4.58 % (3556791)Instructions burned: 4187 (million)
% 23.76/4.58 % (3556791)------------------------------
% 23.76/4.58 % (3556791)------------------------------
% 23.76/4.58 % (3556784)Success in time 3.243 s
% 23.76/4.58 % Vampire exiting
%------------------------------------------------------------------------------