%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT006-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 : Fri Sep 25 01:58:05 PM UTC 2026
% Result : Unsatisfiable 9.24s 2.15s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 139 ( 139 unt; 4 def)
% Number of atoms : 374 ( 138 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 141 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribution) ).
fof(f3,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,X0)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_67,definition,
iPr_def_10 = meet(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_68,definition,
iPr_def_11 = meet(iPr_def_10,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_69,definition,
iPr_def_12 = meet(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_70,definition,
iPr_def_13 = meet(a,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_71,negated_conjecture,
iPr_def_11 != iPr_def_13,
inference(demodulation,[status(thm)],[c_54,c_69,c_70,c_67,c_68]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,X0)),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X2),join(X1,X0)),
inference(superposition,[status(thm)],[c_73,c_72]) ).
tcf(c_116,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,b)) = meet(b,join(X0,a)),
inference(superposition,[status(thm)],[c_67,c_72]) ).
tcf(c_117,plain,
! [X0: $i] : join(iPr_def_12,meet(X0,c)) = meet(c,join(X0,b)),
inference(superposition,[status(thm)],[c_69,c_72]) ).
tcf(c_119,plain,
! [X0: $i] : join(iPr_def_13,meet(X0,iPr_def_12)) = meet(iPr_def_12,join(X0,a)),
inference(superposition,[status(thm)],[c_70,c_72]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),X1) = meet(join(X1,X2),join(X1,X0)),
inference(superposition,[status(thm)],[c_73,c_72]) ).
tcf(c_121,plain,
! [X0: $i] : join(meet(X0,b),iPr_def_10) = meet(b,join(a,X0)),
inference(superposition,[status(thm)],[c_67,c_72]) ).
tcf(c_122,plain,
! [X0: $i] : join(meet(X0,c),iPr_def_12) = meet(c,join(b,X0)),
inference(superposition,[status(thm)],[c_69,c_72]) ).
tcf(c_123,plain,
! [X0: $i] : join(meet(X0,c),iPr_def_11) = meet(c,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_68,c_72]) ).
tcf(c_124,plain,
! [X0: $i] : join(meet(X0,iPr_def_12),iPr_def_13) = meet(iPr_def_12,join(a,X0)),
inference(superposition,[status(thm)],[c_70,c_72]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
tcf(c_160,plain,
meet(b,join(a,a)) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_67,c_121]) ).
tcf(c_162,plain,
meet(c,join(b,b)) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_69,c_122]) ).
tcf(c_166,plain,
meet(c,join(iPr_def_10,iPr_def_10)) = join(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_68,c_123]) ).
tcf(c_168,plain,
meet(iPr_def_12,join(a,a)) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_70,c_124]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(superposition,[status(thm)],[c_73,c_125]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(meet(meet(X0,X1),X2),meet(X2,meet(X1,join(X0,X3)))) = meet(meet(X0,X1),X2),
inference(superposition,[status(thm)],[c_72,c_125]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] : meet(meet(iPr_def_10,X0),meet(X0,meet(b,join(a,X1)))) = meet(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_121,c_125]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X0,X1),join(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_115,c_73]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),join(X0,X0)) = join(X0,X0),
inference(superposition,[status(thm)],[c_73,c_120]) ).
tcf(c_257,plain,
meet(join(a,a),join(a,b)) = join(join(iPr_def_10,iPr_def_10),a),
inference(superposition,[status(thm)],[c_160,c_120]) ).
tcf(c_363,plain,
! [X0: $i] : join(meet(X0,join(a,a)),join(iPr_def_13,iPr_def_13)) = meet(join(a,a),join(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_168,c_72]) ).
tcf(c_393,plain,
meet(iPr_def_10,b) = iPr_def_10,
inference(superposition,[status(thm)],[c_67,c_176]) ).
tcf(c_394,plain,
meet(iPr_def_12,c) = iPr_def_12,
inference(superposition,[status(thm)],[c_69,c_176]) ).
tcf(c_396,plain,
meet(iPr_def_13,iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_70,c_176]) ).
tcf(c_397,plain,
meet(join(iPr_def_13,iPr_def_13),join(a,a)) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_168,c_176]) ).
tcf(c_399,plain,
meet(join(iPr_def_12,iPr_def_12),join(b,b)) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_162,c_176]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,meet(X0,X1))),
inference(superposition,[status(thm)],[c_176,c_72]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(meet(X2,X1),X0)),
inference(superposition,[status(thm)],[c_176,c_72]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(meet(X0,X1),X2),meet(X1,join(X0,X0))) = meet(X1,join(X0,X0)),
inference(superposition,[status(thm)],[c_72,c_203]) ).
tcf(c_545,plain,
! [X0: $i] : meet(iPr_def_11,meet(c,meet(b,join(a,X0)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_68,c_182]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_406,c_72]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_405,c_72]) ).
tcf(c_960,plain,
meet(b,join(a,iPr_def_10)) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_393,c_121]) ).
tcf(c_961,plain,
meet(b,join(iPr_def_10,a)) = join(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_393,c_116]) ).
tcf(c_968,plain,
meet(c,join(b,iPr_def_12)) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_394,c_122]) ).
tcf(c_984,plain,
! [X0: $i] : join(meet(X0,iPr_def_12),iPr_def_13) = meet(iPr_def_12,join(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_396,c_72]) ).
tcf(c_986,plain,
meet(iPr_def_12,join(iPr_def_13,a)) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_396,c_119]) ).
tcf(c_1071,plain,
! [X0: $i] : meet(b,join(a,X0)) = meet(b,join(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_67,c_617]) ).
tcf(c_1072,plain,
! [X0: $i] : meet(c,join(b,X0)) = meet(c,join(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_69,c_617]) ).
tcf(c_1073,plain,
! [X0: $i] : meet(c,join(iPr_def_10,X0)) = meet(c,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_68,c_617]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,meet(X0,join(X2,X1))),
inference(superposition,[status(thm)],[c_72,c_618]) ).
tcf(c_1111,plain,
! [X0: $i] : meet(b,join(X0,a)) = meet(b,join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_67,c_618]) ).
tcf(c_1112,plain,
! [X0: $i] : meet(c,join(X0,b)) = meet(c,join(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_69,c_618]) ).
tcf(c_1114,plain,
! [X0: $i] : meet(iPr_def_12,join(X0,a)) = meet(iPr_def_12,join(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_70,c_618]) ).
tcf(c_1202,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_1104,c_617]) ).
tcf(c_1540,plain,
meet(iPr_def_12,join(iPr_def_13,iPr_def_13)) = join(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_396,c_984]) ).
tcf(c_1566,plain,
! [X0: $i] : meet(iPr_def_11,meet(c,meet(b,join(iPr_def_10,X0)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_1071,c_545]) ).
tcf(c_1598,plain,
meet(c,join(iPr_def_12,iPr_def_12)) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_1072,c_968]) ).
tcf(c_2117,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = meet(X0,X0),
inference(superposition,[status(thm)],[c_73,c_1202]) ).
tcf(c_2808,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2117,c_73]) ).
tcf(c_2810,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),join(X0,X1)) = join(meet(X1,X1),X0),
inference(superposition,[status(thm)],[c_2117,c_120]) ).
tcf(c_2815,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X0),join(X1,X0)) = meet(X0,X0),
inference(superposition,[status(thm)],[c_2117,c_176]) ).
tcf(c_2817,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X0),meet(X1,join(X2,X0))) = meet(join(X2,X0),join(X1,X0)),
inference(superposition,[status(thm)],[c_2117,c_72]) ).
tcf(c_2818,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X2,X2)) = meet(join(X1,X2),join(X2,X0)),
inference(superposition,[status(thm)],[c_2117,c_72]) ).
tcf(c_3000,plain,
meet(iPr_def_11,meet(c,meet(b,b))) = iPr_def_11,
inference(superposition,[status(thm)],[c_2117,c_1566]) ).
tcf(c_3010,plain,
meet(iPr_def_11,meet(c,b)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_3000,c_2808]) ).
tcf(c_3030,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_2815,c_2808]) ).
tcf(c_3043,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_2810,c_2808]) ).
tcf(c_3104,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X2,X0))) = meet(join(X2,X0),join(X0,X1)),
inference(demodulation,[status(thm)],[c_2818,c_2808,c_3043]) ).
tcf(c_3105,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,X2)) = meet(join(X0,X1),join(X2,X1)),
inference(demodulation,[status(thm)],[c_2817,c_2808,c_3104]) ).
tcf(c_3597,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X1) = meet(X1,join(X1,X0)),
inference(superposition,[status(thm)],[c_2808,c_72]) ).
tcf(c_3600,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),join(join(X0,X1),X0)) = join(X0,join(X0,X1)),
inference(superposition,[status(thm)],[c_2808,c_115]) ).
tcf(c_3604,plain,
meet(b,join(b,a)) = join(iPr_def_10,b),
inference(superposition,[status(thm)],[c_2808,c_116]) ).
tcf(c_3610,plain,
meet(c,join(c,b)) = join(iPr_def_12,c),
inference(superposition,[status(thm)],[c_2808,c_117]) ).
tcf(c_3614,plain,
meet(iPr_def_12,join(iPr_def_12,a)) = join(iPr_def_13,iPr_def_12),
inference(superposition,[status(thm)],[c_2808,c_119]) ).
tcf(c_3834,plain,
join(iPr_def_12,iPr_def_13) = iPr_def_12,
inference(demodulation,[status(thm)],[c_3614,c_73,c_1114,c_3043]) ).
tcf(c_3839,plain,
join(iPr_def_12,c) = c,
inference(demodulation,[status(thm)],[c_3610,c_73,c_1112]) ).
tcf(c_3846,plain,
join(iPr_def_10,b) = b,
inference(demodulation,[status(thm)],[c_3604,c_73,c_1111]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_3597,c_73,c_3043]) ).
tcf(c_3873,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(demodulation,[status(thm)],[c_3600,c_73]) ).
tcf(c_3996,plain,
meet(iPr_def_12,join(iPr_def_12,iPr_def_12)) = join(iPr_def_12,iPr_def_12),
inference(superposition,[status(thm)],[c_3834,c_203]) ).
tcf(c_4174,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,join(X2,X0))) = meet(join(X2,X0),join(X1,X0)),
inference(superposition,[status(thm)],[c_3030,c_72]) ).
tcf(c_4208,plain,
join(iPr_def_12,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_3996,c_73]) ).
tcf(c_4300,plain,
meet(c,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_4208,c_1598]) ).
tcf(c_4415,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_3043,c_72]) ).
tcf(c_4446,plain,
meet(join(a,a),join(b,a)) = join(join(iPr_def_10,iPr_def_10),a),
inference(superposition,[status(thm)],[c_3043,c_257]) ).
tcf(c_4558,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(join(X0,X1),join(X2,X0)),X0) = meet(join(X0,X1),join(X2,X0)),
inference(superposition,[status(thm)],[c_200,c_3851]) ).
tcf(c_4573,plain,
join(join(a,a),join(iPr_def_13,iPr_def_13)) = join(a,a),
inference(superposition,[status(thm)],[c_397,c_3851]) ).
tcf(c_4575,plain,
join(join(b,b),join(iPr_def_12,iPr_def_12)) = join(b,b),
inference(superposition,[status(thm)],[c_399,c_3851]) ).
tcf(c_4584,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2808,c_3851]) ).
tcf(c_4677,plain,
join(b,iPr_def_12) = b,
inference(demodulation,[status(thm)],[c_4575,c_4584]) ).
tcf(c_4678,plain,
join(iPr_def_12,b) = b,
inference(demodulation,[status(thm)],[c_4677,c_3043]) ).
tcf(c_4679,plain,
join(a,iPr_def_13) = a,
inference(demodulation,[status(thm)],[c_4573,c_4584]) ).
tcf(c_4680,plain,
join(iPr_def_13,a) = a,
inference(demodulation,[status(thm)],[c_4679,c_3043]) ).
tcf(c_4708,plain,
meet(a,join(b,a)) = join(iPr_def_10,a),
inference(demodulation,[status(thm)],[c_4446,c_4584]) ).
tcf(c_4709,plain,
join(iPr_def_10,a) = a,
inference(demodulation,[status(thm)],[c_4708,c_3030]) ).
tcf(c_4721,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,X2)) = meet(join(X1,X2),join(X0,X1)),
inference(demodulation,[status(thm)],[c_4558,c_3043,c_3105,c_3873,c_4174]) ).
tcf(c_5216,plain,
! [X0: $i] : join(meet(X0,meet(c,b)),iPr_def_11) = meet(meet(c,b),join(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_3010,c_4415]) ).
tcf(c_5280,plain,
meet(join(a,iPr_def_10),join(b,iPr_def_10)) = join(iPr_def_10,join(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_960,c_4174]) ).
tcf(c_5283,plain,
meet(join(b,iPr_def_12),join(c,iPr_def_12)) = join(iPr_def_12,join(iPr_def_12,iPr_def_12)),
inference(superposition,[status(thm)],[c_968,c_4174]) ).
tcf(c_5383,plain,
meet(c,b) = iPr_def_12,
inference(demodulation,[status(thm)],[c_5283,c_3043,c_3105,c_3839,c_3873,c_4584,c_4678,c_4721]) ).
tcf(c_5384,plain,
meet(b,a) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5280,c_3043,c_3105,c_3846,c_3873,c_4584,c_4709,c_4721]) ).
tcf(c_5401,plain,
! [X0: $i] : join(meet(X0,iPr_def_12),iPr_def_11) = meet(iPr_def_12,join(X0,iPr_def_11)),
inference(demodulation,[status(thm)],[c_5216,c_5383]) ).
tcf(c_5402,plain,
! [X0: $i] : join(iPr_def_11,meet(X0,iPr_def_12)) = meet(iPr_def_12,join(X0,iPr_def_11)),
inference(demodulation,[status(thm)],[c_5401,c_3043]) ).
tcf(c_5907,plain,
! [X0: $i,X1: $i] : meet(meet(iPr_def_12,X0),meet(X0,meet(iPr_def_12,join(c,X1)))) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_4300,c_177]) ).
tcf(c_5909,plain,
! [X0: $i] : meet(iPr_def_12,meet(iPr_def_12,join(X0,c))) = iPr_def_12,
inference(superposition,[status(thm)],[c_4300,c_125]) ).
tcf(c_5937,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X1)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_4584,c_4415]) ).
tcf(c_5977,plain,
join(iPr_def_11,iPr_def_11) = meet(c,iPr_def_10),
inference(superposition,[status(thm)],[c_4584,c_166]) ).
tcf(c_5992,plain,
meet(iPr_def_12,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_4584,c_1540]) ).
tcf(c_6070,plain,
join(iPr_def_13,iPr_def_13) = meet(iPr_def_12,a),
inference(superposition,[status(thm)],[c_4680,c_986]) ).
tcf(c_6076,plain,
join(meet(b,join(iPr_def_10,a)),join(iPr_def_13,iPr_def_13)) = meet(join(a,a),join(iPr_def_12,b)),
inference(superposition,[status(thm)],[c_1071,c_363]) ).
tcf(c_6105,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(meet(X0,X1),X2),meet(X1,X0)) = meet(X1,X0),
inference(light_normalisation,[status(thm)],[c_454,c_4584]) ).
tcf(c_6125,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_3851,c_6105]) ).
tcf(c_6318,plain,
meet(iPr_def_12,a) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6070,c_4584]) ).
tcf(c_6323,plain,
meet(c,iPr_def_10) = iPr_def_11,
inference(demodulation,[status(thm)],[c_5977,c_4584]) ).
tcf(c_6348,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_5937,c_4584]) ).
tcf(c_6353,plain,
! [X0: $i] : meet(iPr_def_12,join(c,X0)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_5909,c_1202]) ).
tcf(c_6445,plain,
! [X0: $i] : meet(X0,iPr_def_12) = meet(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_5907,c_6125,c_6353]) ).
tcf(c_6493,plain,
join(meet(b,join(iPr_def_10,a)),join(iPr_def_13,iPr_def_13)) = meet(join(iPr_def_12,b),join(a,a)),
inference(demodulation,[status(thm)],[c_6076,c_6348]) ).
tcf(c_6494,plain,
join(iPr_def_10,iPr_def_13) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6493,c_961,c_3043,c_4584,c_4678,c_5384]) ).
tcf(c_6963,plain,
meet(iPr_def_12,join(iPr_def_10,iPr_def_13)) = meet(iPr_def_12,a),
inference(superposition,[status(thm)],[c_4709,c_1114]) ).
tcf(c_6994,plain,
meet(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_5383,c_3010]) ).
tcf(c_7030,plain,
! [X0: $i] : meet(iPr_def_13,meet(iPr_def_13,join(X0,iPr_def_12))) = iPr_def_13,
inference(superposition,[status(thm)],[c_5992,c_125]) ).
tcf(c_7121,plain,
join(iPr_def_10,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_6323,c_3851]) ).
tcf(c_7182,plain,
! [X0: $i] : meet(iPr_def_13,join(iPr_def_12,X0)) = iPr_def_13,
inference(demodulation,[status(thm)],[c_7030,c_1202]) ).
tcf(c_7186,plain,
meet(iPr_def_10,iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6963,c_6318,c_6445,c_6494]) ).
tcf(c_7710,plain,
! [X0: $i] : join(meet(X0,iPr_def_12),iPr_def_11) = meet(iPr_def_12,join(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_6994,c_72]) ).
tcf(c_7862,plain,
! [X0: $i] : meet(iPr_def_12,join(X0,iPr_def_11)) = meet(iPr_def_12,join(iPr_def_11,X0)),
inference(demodulation,[status(thm)],[c_7710,c_3043,c_5402]) ).
tcf(c_7982,plain,
! [X0: $i] : join(iPr_def_13,meet(X0,iPr_def_12)) = meet(iPr_def_12,join(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_7186,c_72]) ).
tcf(c_8649,plain,
meet(iPr_def_12,join(iPr_def_11,iPr_def_10)) = join(iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_6994,c_7982]) ).
tcf(c_8958,plain,
join(iPr_def_11,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_8649,c_3043,c_6445,c_7121,c_7186,c_7862]) ).
tcf(c_9572,plain,
meet(c,join(iPr_def_10,iPr_def_13)) = meet(c,iPr_def_13),
inference(superposition,[status(thm)],[c_8958,c_1073]) ).
tcf(c_9815,plain,
meet(iPr_def_13,c) = iPr_def_11,
inference(demodulation,[status(thm)],[c_9572,c_6323,c_6348,c_6494]) ).
tcf(c_11130,plain,
meet(iPr_def_13,c) = iPr_def_13,
inference(superposition,[status(thm)],[c_3839,c_7182]) ).
tcf(c_11157,plain,
iPr_def_11 = iPr_def_13,
inference(demodulation,[status(thm)],[c_11130,c_9815]) ).
tcf(c_11158,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11157,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT006-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 20:02:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running UEQ theorem proving
% 0.12/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 9.24/2.15 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 9.24/2.15 % SZS status Started for theBenchmark.p
% 9.24/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 9.24/2.15
% 9.24/2.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.24/2.15
% 9.24/2.15 % ------ iProver source info
% 9.24/2.15
% 9.24/2.15 % git: date: 2026-07-19 20:42:38 +0200
% 9.24/2.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.24/2.15 % git: non_committed_changes: false
% 9.24/2.15
% 9.24/2.15 % ------ Parsing...% successful
% 9.24/2.15
% 9.24/2.15
% 9.24/2.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.24/2.15
% 9.24/2.15 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 9.24/2.15
% 9.24/2.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.24/2.15
% 9.24/2.15 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.24/2.15 % ------ Proving...
% 9.24/2.15 % ------ Problem Properties
% 9.24/2.15
% 9.24/2.15 %
% 9.24/2.15 % clauses 7
% 9.24/2.15 % conjectures 1
% 9.24/2.15 % EPR 1
% 9.24/2.15 % Horn 7
% 9.24/2.15 % unary 7
% 9.24/2.15 % binary 0
% 9.24/2.15 % lits 7
% 9.24/2.15 % lits eq 7
% 9.24/2.15 % fd_pure 0
% 9.24/2.15 % fd_pseudo 0
% 9.24/2.15 % fd_cond 0
% 9.24/2.15 % fd_pseudo_cond 0
% 9.24/2.15 % AC symbols 0
% 9.24/2.15
% 9.24/2.15 % ------ Input Options Time Limit: Unbounded
% 9.24/2.15
% 9.24/2.15
% 9.24/2.15 % ------
% 9.24/2.15 % Current options:
% 9.24/2.15 % ------
% 9.24/2.15
% 9.24/2.15
% 9.24/2.15 %
% 9.24/2.15
% 9.24/2.15 % ------ Proving...
% 9.24/2.15 %
% 9.24/2.15
% 9.24/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 9.24/2.15
% 9.24/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.24/2.16
% 9.24/2.16
%------------------------------------------------------------------------------