%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 01:58:07 PM UTC 2026
% Result : Unsatisfiable 21.98s 4.23s
% Output : CNFRefutation 21.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 150 ( 150 unt; 5 def)
% Number of atoms : 502 ( 149 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 121 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).
fof(f8,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).
fof(f10,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,join(X0,X1))) = meet(join(X0,X1),join(X2,meet(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',self_dual_modularity) ).
fof(f12,negated_conjecture,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_modularity) ).
tcf(c_59,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X2,meet(X0,X1))) = join(meet(X0,X1),meet(X2,join(X0,X1))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_68,negated_conjecture,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_102,definition,
iPr_def_10 = meet(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_103,definition,
iPr_def_11 = join(b,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_104,definition,
iPr_def_12 = meet(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_105,definition,
iPr_def_13 = meet(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_106,definition,
iPr_def_14 = join(iPr_def_13,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_107,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_68,c_105,c_106,c_102,c_103,c_104]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_114,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_115,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X2,meet(X0,X1))) = join(meet(X0,X1),meet(X2,join(X0,X1))),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_172,plain,
meet(c,a) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_102,c_111,c_113,c_110,c_112]) ).
tcf(c_173,plain,
join(iPr_def_10,b) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_103,c_111,c_113,c_110,c_112]) ).
tcf(c_174,plain,
meet(iPr_def_11,a) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_104,c_111,c_113,c_110,c_112]) ).
tcf(c_175,plain,
meet(b,a) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_105,c_111,c_113,c_110,c_112]) ).
tcf(c_176,plain,
join(iPr_def_10,iPr_def_13) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_106,c_111,c_113,c_110,c_112]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_109,c_112]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_108,c_113]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_111,c_113]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_110,c_112]) ).
tcf(c_196,plain,
! [X0: $i] : join(iPr_def_10,join(b,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_173,c_110]) ).
tcf(c_197,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_13,X0)) = join(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_176,c_110]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_115,c_111]) ).
tcf(c_202,plain,
! [X0: $i] : meet(iPr_def_11,meet(a,X0)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_174,c_111]) ).
tcf(c_203,plain,
! [X0: $i] : meet(b,meet(a,X0)) = meet(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_175,c_111]) ).
tcf(c_220,plain,
! [X0: $i] : join(meet(X0,iPr_def_10),meet(X0,iPr_def_11)) = meet(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_173,c_177]) ).
tcf(c_242,plain,
! [X0: $i] : meet(join(X0,iPr_def_11),join(X0,iPr_def_12)) = join(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_174,c_178]) ).
tcf(c_243,plain,
! [X0: $i] : meet(join(X0,b),join(X0,iPr_def_13)) = join(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_175,c_178]) ).
tcf(c_312,plain,
! [X0: $i] : meet(c,meet(X0,a)) = meet(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_172,c_179]) ).
tcf(c_313,plain,
! [X0: $i] : meet(iPr_def_11,meet(X0,a)) = meet(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_174,c_179]) ).
tcf(c_314,plain,
! [X0: $i] : meet(b,meet(X0,a)) = meet(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_175,c_179]) ).
tcf(c_330,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_13)) = join(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_176,c_180]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,meet(X0,X0))) = join(meet(X0,X0),meet(X1,X0)),
inference(superposition,[status(thm)],[c_114,c_116]) ).
tcf(c_390,plain,
! [X0: $i] : meet(join(X0,iPr_def_13),join(X0,b)) = join(X0,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_243,c_111,c_113,c_110,c_112]) ).
tcf(c_391,plain,
! [X0: $i] : meet(join(X0,iPr_def_12),join(X0,iPr_def_11)) = join(X0,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_242,c_111,c_113,c_110,c_112]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(demodulation,[status(thm)],[c_356,c_115]) ).
tcf(c_656,plain,
meet(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_174,c_200]) ).
tcf(c_681,plain,
! [X0: $i] : meet(iPr_def_11,meet(X0,a)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_113,c_202]) ).
tcf(c_710,plain,
meet(a,iPr_def_10) = meet(c,a),
inference(superposition,[status(thm)],[c_115,c_312]) ).
tcf(c_731,plain,
meet(a,iPr_def_12) = meet(iPr_def_11,a),
inference(superposition,[status(thm)],[c_115,c_313]) ).
tcf(c_736,plain,
! [X0: $i] : meet(iPr_def_11,meet(X0,iPr_def_12)) = meet(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_313,c_200]) ).
tcf(c_752,plain,
meet(a,iPr_def_13) = meet(b,a),
inference(superposition,[status(thm)],[c_115,c_314]) ).
tcf(c_756,plain,
meet(b,iPr_def_12) = meet(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_174,c_314]) ).
tcf(c_795,plain,
join(iPr_def_10,iPr_def_13) = join(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_114,c_330]) ).
tcf(c_812,plain,
! [X0: $i] : join(meet(iPr_def_10,X0),meet(X0,iPr_def_11)) = meet(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_113,c_220]) ).
tcf(c_816,plain,
! [X0: $i] : join(meet(X0,iPr_def_10),meet(iPr_def_11,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_113,c_220]) ).
tcf(c_844,plain,
meet(iPr_def_14,join(iPr_def_10,b)) = iPr_def_14,
inference(superposition,[status(thm)],[c_176,c_390]) ).
tcf(c_860,plain,
meet(iPr_def_12,iPr_def_11) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_656,c_111,c_113,c_110,c_112]) ).
tcf(c_862,plain,
meet(iPr_def_11,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_844,c_113,c_173]) ).
tcf(c_869,plain,
join(iPr_def_13,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_795,c_176]) ).
tcf(c_884,plain,
meet(iPr_def_11,iPr_def_13) = meet(iPr_def_12,b),
inference(theory_normalisation,[status(thm)],[c_756,c_111,c_113,c_110,c_112]) ).
tcf(c_886,plain,
meet(b,a) = meet(iPr_def_13,a),
inference(theory_normalisation,[status(thm)],[c_752,c_111,c_113,c_110,c_112]) ).
tcf(c_887,plain,
meet(iPr_def_13,a) = iPr_def_13,
inference(demodulation,[status(thm)],[c_886,c_175]) ).
tcf(c_896,plain,
meet(iPr_def_11,a) = meet(iPr_def_12,a),
inference(theory_normalisation,[status(thm)],[c_731,c_111,c_113,c_110,c_112]) ).
tcf(c_897,plain,
meet(iPr_def_12,a) = iPr_def_12,
inference(demodulation,[status(thm)],[c_896,c_174]) ).
tcf(c_906,plain,
meet(c,a) = meet(iPr_def_10,a),
inference(theory_normalisation,[status(thm)],[c_710,c_111,c_113,c_110,c_112]) ).
tcf(c_907,plain,
meet(iPr_def_10,a) = iPr_def_10,
inference(demodulation,[status(thm)],[c_906,c_172]) ).
tcf(c_918,plain,
! [X0: $i] : meet(iPr_def_12,meet(X0,iPr_def_11)) = meet(X0,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_736,c_111,c_113,c_110,c_112]) ).
tcf(c_1452,plain,
! [X0: $i] : meet(iPr_def_11,meet(iPr_def_14,X0)) = meet(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_862,c_111]) ).
tcf(c_1461,plain,
! [X0: $i] : join(meet(X0,iPr_def_13),meet(X0,iPr_def_14)) = meet(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_869,c_177]) ).
tcf(c_1479,plain,
! [X0: $i] : meet(iPr_def_13,meet(X0,a)) = meet(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_887,c_179]) ).
tcf(c_1481,plain,
meet(iPr_def_11,iPr_def_13) = meet(iPr_def_13,iPr_def_12),
inference(superposition,[status(thm)],[c_887,c_313]) ).
tcf(c_1490,plain,
meet(b,iPr_def_12) = meet(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_897,c_314]) ).
tcf(c_1531,plain,
! [X0: $i] : meet(meet(iPr_def_12,b),X0) = meet(iPr_def_11,meet(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_884,c_111]) ).
tcf(c_1697,plain,
meet(iPr_def_12,b) = meet(iPr_def_12,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_1490,c_111,c_113,c_110,c_112]) ).
tcf(c_1699,plain,
meet(iPr_def_11,iPr_def_13) = meet(iPr_def_12,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_1481,c_111,c_113,c_110,c_112]) ).
tcf(c_1732,plain,
! [X0: $i] : meet(meet(iPr_def_12,iPr_def_13),X0) = meet(iPr_def_11,meet(iPr_def_13,X0)),
inference(demodulation,[status(thm)],[c_1531,c_1697]) ).
tcf(c_1733,plain,
! [X0: $i] : meet(iPr_def_11,meet(iPr_def_13,X0)) = meet(iPr_def_12,meet(iPr_def_13,X0)),
inference(theory_normalisation,[status(thm)],[c_1732,c_111,c_113,c_110,c_112]) ).
tcf(c_2300,plain,
! [X0: $i] : meet(iPr_def_12,meet(iPr_def_11,X0)) = meet(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_113,c_918]) ).
tcf(c_2371,plain,
meet(iPr_def_14,a) = meet(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_1452,c_313]) ).
tcf(c_2439,plain,
meet(iPr_def_12,iPr_def_14) = meet(iPr_def_14,a),
inference(theory_normalisation,[status(thm)],[c_2371,c_111,c_113,c_110,c_112]) ).
tcf(c_2566,plain,
! [X0: $i] : meet(meet(iPr_def_12,iPr_def_14),X0) = meet(iPr_def_14,meet(a,X0)),
inference(superposition,[status(thm)],[c_2439,c_111]) ).
tcf(c_2859,plain,
! [X0: $i] : meet(iPr_def_12,meet(iPr_def_14,X0)) = meet(iPr_def_14,meet(a,X0)),
inference(theory_normalisation,[status(thm)],[c_2566,c_111,c_113,c_110,c_112]) ).
tcf(c_3041,plain,
meet(iPr_def_13,meet(iPr_def_12,iPr_def_14)) = meet(iPr_def_14,iPr_def_13),
inference(superposition,[status(thm)],[c_2439,c_1479]) ).
tcf(c_3215,plain,
meet(iPr_def_12,meet(iPr_def_13,iPr_def_14)) = meet(iPr_def_13,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_3041,c_111,c_113,c_110,c_112]) ).
tcf(c_3266,plain,
meet(iPr_def_12,join(iPr_def_12,iPr_def_11)) = iPr_def_12,
inference(superposition,[status(thm)],[c_114,c_391]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_113,c_395]) ).
tcf(c_3357,plain,
meet(a,join(iPr_def_10,a)) = join(a,iPr_def_10),
inference(superposition,[status(thm)],[c_907,c_395]) ).
tcf(c_3461,plain,
! [X0: $i] : meet(join(meet(iPr_def_10,X0),X0),meet(X0,iPr_def_11)) = meet(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_812,c_178]) ).
tcf(c_3473,plain,
join(meet(a,iPr_def_10),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_174,c_816]) ).
tcf(c_3498,plain,
join(iPr_def_12,meet(iPr_def_10,a)) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_3473,c_111,c_113,c_110,c_112]) ).
tcf(c_3499,plain,
join(iPr_def_10,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_3498,c_112,c_907]) ).
tcf(c_3511,plain,
meet(a,join(iPr_def_10,a)) = join(iPr_def_10,a),
inference(theory_normalisation,[status(thm)],[c_3357,c_111,c_113,c_110,c_112]) ).
tcf(c_3545,plain,
! [X0: $i] : meet(X0,meet(iPr_def_11,join(X0,meet(iPr_def_10,X0)))) = meet(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_3461,c_111,c_113,c_110,c_112]) ).
tcf(c_3546,plain,
! [X0: $i] : meet(X0,meet(iPr_def_11,meet(X0,join(iPr_def_10,X0)))) = meet(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_3545,c_395]) ).
tcf(c_3547,plain,
! [X0: $i] : meet(X0,meet(iPr_def_11,join(iPr_def_10,X0))) = meet(X0,iPr_def_11),
inference(ac_demodulation,[status(thm)],[c_3546,c_115,c_111,c_113,c_110,c_112]) ).
tcf(c_3803,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_12)) = join(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_3499,c_180]) ).
tcf(c_3982,plain,
meet(b,join(iPr_def_10,a)) = meet(iPr_def_13,join(iPr_def_10,a)),
inference(superposition,[status(thm)],[c_3511,c_203]) ).
tcf(c_3983,plain,
meet(iPr_def_11,join(iPr_def_10,a)) = meet(iPr_def_12,join(iPr_def_10,a)),
inference(superposition,[status(thm)],[c_3511,c_202]) ).
tcf(c_4410,plain,
join(b,iPr_def_12) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_3803,c_196]) ).
tcf(c_4412,plain,
join(iPr_def_13,iPr_def_12) = join(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_3803,c_197]) ).
tcf(c_4473,plain,
join(meet(iPr_def_11,iPr_def_13),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_862,c_1461]) ).
tcf(c_4598,plain,
join(iPr_def_14,meet(iPr_def_11,iPr_def_13)) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_4473,c_111,c_113,c_110,c_112]) ).
tcf(c_4599,plain,
join(iPr_def_14,meet(iPr_def_12,iPr_def_13)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_4598,c_1699]) ).
tcf(c_4605,plain,
join(iPr_def_12,iPr_def_13) = join(iPr_def_12,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_4412,c_111,c_113,c_110,c_112]) ).
tcf(c_4607,plain,
join(iPr_def_12,b) = join(iPr_def_12,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_4410,c_111,c_113,c_110,c_112]) ).
tcf(c_4951,plain,
meet(join(iPr_def_14,iPr_def_12),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_4599,c_178]) ).
tcf(c_5205,plain,
meet(iPr_def_14,join(iPr_def_12,iPr_def_14)) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_4951,c_111,c_113,c_110,c_112]) ).
tcf(c_5206,plain,
meet(iPr_def_14,join(iPr_def_12,iPr_def_13)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_5205,c_4605]) ).
tcf(c_5709,plain,
meet(iPr_def_12,meet(iPr_def_14,join(iPr_def_10,a))) = meet(iPr_def_14,join(iPr_def_10,a)),
inference(superposition,[status(thm)],[c_3511,c_2859]) ).
tcf(c_6544,plain,
meet(iPr_def_12,join(b,iPr_def_12)) = join(iPr_def_12,meet(iPr_def_12,iPr_def_13)),
inference(superposition,[status(thm)],[c_1697,c_3330]) ).
tcf(c_6689,plain,
meet(iPr_def_12,join(iPr_def_12,b)) = join(iPr_def_12,meet(iPr_def_12,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_6544,c_111,c_113,c_110,c_112]) ).
tcf(c_6690,plain,
meet(iPr_def_12,join(iPr_def_12,iPr_def_13)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6689,c_112,c_3266,c_3330,c_4607]) ).
tcf(c_8425,plain,
meet(iPr_def_13,meet(iPr_def_11,iPr_def_14)) = meet(iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_176,c_3547]) ).
tcf(c_8471,plain,
meet(iPr_def_12,meet(iPr_def_14,meet(iPr_def_11,join(iPr_def_10,a)))) = meet(iPr_def_14,meet(a,iPr_def_11)),
inference(superposition,[status(thm)],[c_3547,c_2859]) ).
tcf(c_8482,plain,
meet(iPr_def_12,meet(iPr_def_11,join(iPr_def_10,a))) = meet(iPr_def_11,meet(a,iPr_def_11)),
inference(superposition,[status(thm)],[c_3547,c_202]) ).
tcf(c_8547,plain,
meet(iPr_def_11,meet(iPr_def_13,iPr_def_14)) = meet(iPr_def_11,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_8425,c_111,c_113,c_110,c_112]) ).
tcf(c_8548,plain,
meet(iPr_def_12,iPr_def_13) = meet(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_8547,c_1699,c_1733,c_3215]) ).
tcf(c_8578,plain,
meet(iPr_def_12,meet(iPr_def_11,join(iPr_def_10,a))) = meet(iPr_def_11,meet(iPr_def_11,a)),
inference(theory_normalisation,[status(thm)],[c_8482,c_111,c_113,c_110,c_112]) ).
tcf(c_8579,plain,
meet(iPr_def_12,join(iPr_def_10,a)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_8578,c_113,c_681,c_860,c_2300]) ).
tcf(c_8642,plain,
meet(iPr_def_12,meet(iPr_def_11,meet(iPr_def_14,join(iPr_def_10,a)))) = meet(iPr_def_11,meet(iPr_def_14,a)),
inference(theory_normalisation,[status(thm)],[c_8471,c_111,c_113,c_110,c_112]) ).
tcf(c_8643,plain,
meet(iPr_def_14,join(iPr_def_10,a)) = meet(iPr_def_12,iPr_def_14),
inference(demodulation,[status(thm)],[c_8642,c_113,c_111,c_179,c_1452,c_2300,c_2439,c_5709]) ).
tcf(c_8834,plain,
join(meet(iPr_def_13,iPr_def_13),meet(iPr_def_12,iPr_def_13)) = meet(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_8548,c_1461]) ).
tcf(c_9210,plain,
join(meet(iPr_def_12,iPr_def_13),meet(iPr_def_13,iPr_def_13)) = meet(iPr_def_12,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_8834,c_111,c_113,c_110,c_112]) ).
tcf(c_9211,plain,
meet(iPr_def_13,join(iPr_def_12,iPr_def_13)) = meet(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_9210,c_115,c_112,c_395]) ).
tcf(c_11262,plain,
meet(join(iPr_def_12,iPr_def_13),join(iPr_def_13,join(iPr_def_12,iPr_def_13))) = join(join(iPr_def_12,iPr_def_13),meet(iPr_def_12,iPr_def_13)),
inference(superposition,[status(thm)],[c_9211,c_395]) ).
tcf(c_11437,plain,
meet(join(iPr_def_12,iPr_def_13),join(iPr_def_12,join(iPr_def_13,iPr_def_13))) = join(iPr_def_12,join(iPr_def_13,meet(iPr_def_12,iPr_def_13))),
inference(theory_normalisation,[status(thm)],[c_11262,c_111,c_113,c_110,c_112]) ).
tcf(c_11438,plain,
join(iPr_def_12,iPr_def_13) = iPr_def_12,
inference(demodulation,[status(thm)],[c_11437,c_115,c_114,c_112,c_395,c_3330,c_6690,c_9211]) ).
tcf(c_11936,plain,
meet(iPr_def_14,iPr_def_12) = iPr_def_14,
inference(superposition,[status(thm)],[c_11438,c_5206]) ).
tcf(c_12056,plain,
meet(iPr_def_12,iPr_def_14) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_11936,c_111,c_113,c_110,c_112]) ).
tcf(c_28213,plain,
meet(join(iPr_def_10,a),join(b,meet(iPr_def_10,a))) = join(meet(iPr_def_10,a),meet(iPr_def_13,join(iPr_def_10,a))),
inference(superposition,[status(thm)],[c_3982,c_116]) ).
tcf(c_28221,plain,
meet(iPr_def_11,join(iPr_def_10,a)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_3983,c_8579]) ).
tcf(c_28660,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_28213,c_116,c_113,c_112,c_173,c_176,c_907,c_8643,c_12056,c_28221]) ).
tcf(c_28661,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_28660,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 20:02:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running UEQ theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 21.98/4.23 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 21.98/4.23 % SZS status Started for theBenchmark.p
% 21.98/4.23 % SZS status Unsatisfiable for theBenchmark.p
% 21.98/4.23
% 21.98/4.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.98/4.23
% 21.98/4.23 % ------ iProver source info
% 21.98/4.23
% 21.98/4.23 % git: date: 2026-07-19 20:42:38 +0200
% 21.98/4.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.98/4.23 % git: non_committed_changes: false
% 21.98/4.23
% 21.98/4.23 % ------ Parsing...% successful
% 21.98/4.23
% 21.98/4.23
% 21.98/4.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.98/4.23
% 21.98/4.23 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 21.98/4.23
% 21.98/4.23 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.98/4.23
% 21.98/4.23 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 21.98/4.23 % ------ Proving...
% 21.98/4.23 % ------ Problem Properties
% 21.98/4.23
% 21.98/4.23 %
% 21.98/4.23 % clauses 15
% 21.98/4.23 % conjectures 1
% 21.98/4.23 % EPR 1
% 21.98/4.23 % Horn 15
% 21.98/4.23 % unary 15
% 21.98/4.23 % binary 0
% 21.98/4.23 % lits 15
% 21.98/4.23 % lits eq 15
% 21.98/4.23 % fd_pure 0
% 21.98/4.23 % fd_pseudo 0
% 21.98/4.23 % fd_cond 0
% 21.98/4.23 % fd_pseudo_cond 0
% 21.98/4.23 % AC symbols 2
% 21.98/4.23
% 21.98/4.23 % ------ Input Options Time Limit: Unbounded
% 21.98/4.23
% 21.98/4.23
% 21.98/4.23 % ------
% 21.98/4.23 % Current options:
% 21.98/4.23 % ------
% 21.98/4.23
% 21.98/4.23
% 21.98/4.23 %
% 21.98/4.23
% 21.98/4.23 % ------ Proving...
% 21.98/4.23 %
% 21.98/4.23
% 21.98/4.23 % SZS status Unsatisfiable for theBenchmark.p
% 21.98/4.23
% 21.98/4.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.98/4.23
% 21.98/4.23
%------------------------------------------------------------------------------