%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT023-1 : 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 : n007.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 25.98s 5.27s
% Output : CNFRefutation 25.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 127 ( 127 unt; 5 def)
% Number of atoms : 361 ( 126 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 4 ( 4 ~; 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 : 139 ( 0 sgn 139 !; 0 ?; 112 :)
% 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(join(X0,X1),X2),X1) = join(meet(join(X2,X1),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity_axiom) ).
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] : join(meet(join(X0,X1),X2),X1) = join(meet(join(X2,X1),X0),X1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_68,negated_conjecture,
join(meet(a,b),meet(a,c)) != meet(a,join(b,meet(a,c))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(join(X2,X0),X1)),
inference(theory_normalisation,[status(thm)],[c_67,c_63,c_61,c_64,c_62]) ).
tcf(c_79,negated_conjecture,
join(meet(c,a),meet(a,b)) != meet(a,join(b,meet(c,a))),
inference(theory_normalisation,[status(thm)],[c_68,c_63,c_61,c_64,c_62]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_65,c_63,c_61,c_64,c_62]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_66,c_63,c_61,c_64,c_62]) ).
tcf(c_109,definition,
iPr_def_10 = meet(c,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_110,definition,
iPr_def_11 = meet(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_111,definition,
iPr_def_12 = join(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_112,definition,
iPr_def_13 = join(b,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_113,definition,
iPr_def_14 = meet(a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_114,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_79,c_112,c_113,c_110,c_109,c_111]) ).
tcf(c_115,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_81]) ).
tcf(c_116,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_80]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(join(X2,X0),X1)),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_118,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_119,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_120,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_122,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_123,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_118,c_120]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_119,c_121]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_122,c_115]) ).
tcf(c_206,plain,
! [X0: $i] : join(iPr_def_11,meet(a,join(b,X0))) = meet(a,join(b,X0)),
inference(superposition,[status(thm)],[c_110,c_116]) ).
tcf(c_213,plain,
! [X0: $i] : join(meet(X0,iPr_def_10),meet(X0,iPr_def_12)) = meet(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_111,c_116]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(meet(X0,X1),X0),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_116,c_115]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X0,meet(X0,X1)),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_217,c_120,c_180]) ).
tcf(c_244,plain,
! [X0: $i] : join(iPr_def_10,meet(join(X0,iPr_def_10),b)) = join(iPr_def_10,meet(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_112,c_117]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,join(X1,X0)),join(X0,meet(join(X2,X0),X1))) = join(X0,meet(join(X2,X0),X1)),
inference(superposition,[status(thm)],[c_117,c_115]) ).
tcf(c_255,plain,
! [X0: $i] : join(iPr_def_10,meet(b,join(X0,iPr_def_10))) = join(iPr_def_10,meet(iPr_def_13,X0)),
inference(demodulation,[status(thm)],[c_244,c_121]) ).
tcf(c_275,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_111,c_118]) ).
tcf(c_276,plain,
! [X0: $i] : join(b,join(iPr_def_10,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_112,c_118]) ).
tcf(c_285,plain,
! [X0: $i] : join(iPr_def_10,join(b,X0)) = join(iPr_def_13,X0),
inference(demodulation,[status(thm)],[c_276,c_179]) ).
tcf(c_286,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_10,X0)) = join(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_275,c_179]) ).
tcf(c_321,plain,
join(iPr_def_10,b) = iPr_def_13,
inference(demodulation,[status(thm)],[c_112,c_120]) ).
tcf(c_322,plain,
join(iPr_def_11,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_111,c_120]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,meet(X0,X2))) = join(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_120,c_115]) ).
tcf(c_337,plain,
! [X0: $i] : join(meet(X0,iPr_def_10),meet(X0,iPr_def_13)) = meet(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_321,c_116]) ).
tcf(c_338,plain,
! [X0: $i] : join(b,meet(join(X0,b),iPr_def_10)) = join(b,meet(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_321,c_117]) ).
tcf(c_339,plain,
! [X0: $i] : join(b,meet(iPr_def_10,join(X0,b))) = join(b,meet(iPr_def_13,X0)),
inference(demodulation,[status(thm)],[c_338,c_121]) ).
tcf(c_347,plain,
! [X0: $i] : join(iPr_def_10,meet(join(X0,iPr_def_10),iPr_def_11)) = join(iPr_def_10,meet(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_322,c_117]) ).
tcf(c_348,plain,
! [X0: $i] : join(iPr_def_10,meet(iPr_def_11,join(X0,iPr_def_10))) = join(iPr_def_10,meet(iPr_def_12,X0)),
inference(demodulation,[status(thm)],[c_347,c_121]) ).
tcf(c_352,plain,
meet(b,a) = iPr_def_11,
inference(demodulation,[status(thm)],[c_110,c_121]) ).
tcf(c_353,plain,
meet(iPr_def_13,a) = iPr_def_14,
inference(demodulation,[status(thm)],[c_113,c_121]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X2,X1)),
inference(superposition,[status(thm)],[c_121,c_115]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_123,c_119]) ).
tcf(c_380,plain,
! [X0: $i] : meet(b,meet(a,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_352,c_119]) ).
tcf(c_381,plain,
! [X0: $i] : meet(iPr_def_13,meet(a,X0)) = meet(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_353,c_119]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_122,c_179]) ).
tcf(c_450,plain,
! [X0: $i] : meet(c,meet(X0,a)) = meet(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_109,c_180]) ).
tcf(c_452,plain,
! [X0: $i] : meet(b,meet(X0,a)) = meet(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_352,c_180]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,join(X0,meet(X0,X2)))) = meet(X1,join(X0,meet(X0,X2))),
inference(superposition,[status(thm)],[c_185,c_180]) ).
tcf(c_584,plain,
join(iPr_def_10,b) = join(iPr_def_13,b),
inference(superposition,[status(thm)],[c_122,c_285]) ).
tcf(c_599,plain,
join(iPr_def_13,b) = iPr_def_13,
inference(demodulation,[status(thm)],[c_584,c_321]) ).
tcf(c_989,plain,
meet(iPr_def_13,iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_353,c_377]) ).
tcf(c_1001,plain,
meet(iPr_def_14,iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_989,c_121]) ).
tcf(c_1442,plain,
join(iPr_def_10,meet(iPr_def_10,iPr_def_12)) = meet(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_123,c_213]) ).
tcf(c_1446,plain,
join(meet(iPr_def_12,iPr_def_10),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_123,c_213]) ).
tcf(c_1460,plain,
join(iPr_def_12,meet(iPr_def_10,iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_1446,c_121,c_120]) ).
tcf(c_1757,plain,
meet(b,a) = meet(iPr_def_11,a),
inference(superposition,[status(thm)],[c_123,c_380]) ).
tcf(c_1775,plain,
meet(iPr_def_11,a) = iPr_def_11,
inference(demodulation,[status(thm)],[c_1757,c_352]) ).
tcf(c_1825,plain,
meet(iPr_def_13,a) = meet(iPr_def_14,a),
inference(superposition,[status(thm)],[c_123,c_381]) ).
tcf(c_1843,plain,
meet(iPr_def_14,a) = iPr_def_14,
inference(demodulation,[status(thm)],[c_1825,c_353]) ).
tcf(c_1998,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X1,X2),join(X0,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_121,c_219]) ).
tcf(c_2090,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X2,meet(X2,X0))) = meet(X2,join(X0,X1)),
inference(demodulation,[status(thm)],[c_1998,c_491]) ).
tcf(c_3566,plain,
meet(b,iPr_def_10) = meet(c,iPr_def_11),
inference(superposition,[status(thm)],[c_352,c_450]) ).
tcf(c_3568,plain,
meet(c,iPr_def_11) = meet(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_1775,c_450]) ).
tcf(c_3569,plain,
meet(c,iPr_def_14) = meet(iPr_def_13,iPr_def_10),
inference(superposition,[status(thm)],[c_353,c_450]) ).
tcf(c_3570,plain,
meet(c,iPr_def_14) = meet(iPr_def_14,iPr_def_10),
inference(superposition,[status(thm)],[c_1843,c_450]) ).
tcf(c_3588,plain,
meet(iPr_def_14,c) = meet(iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_3570,c_121]) ).
tcf(c_3589,plain,
meet(iPr_def_10,iPr_def_13) = meet(iPr_def_14,c),
inference(demodulation,[status(thm)],[c_3569,c_121]) ).
tcf(c_3590,plain,
meet(iPr_def_11,c) = meet(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_3568,c_121]) ).
tcf(c_3591,plain,
meet(iPr_def_10,b) = meet(iPr_def_11,c),
inference(demodulation,[status(thm)],[c_3566,c_121]) ).
tcf(c_3606,plain,
meet(iPr_def_10,iPr_def_13) = meet(iPr_def_14,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_3589,c_3588]) ).
tcf(c_3970,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X1,meet(join(X2,X1),X0))) = join(X1,meet(join(X2,X1),X0)),
inference(light_normalisation,[status(thm)],[c_253,c_420]) ).
tcf(c_4024,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),join(X1,meet(X1,X0))) = join(X1,meet(X1,X0)),
inference(superposition,[status(thm)],[c_122,c_3970]) ).
tcf(c_4073,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = meet(X0,join(X1,X0)),
inference(demodulation,[status(thm)],[c_4024,c_2090]) ).
tcf(c_4362,plain,
join(iPr_def_10,meet(b,iPr_def_10)) = join(iPr_def_10,meet(iPr_def_13,iPr_def_10)),
inference(superposition,[status(thm)],[c_122,c_255]) ).
tcf(c_4384,plain,
join(iPr_def_10,meet(iPr_def_11,iPr_def_10)) = join(iPr_def_10,meet(iPr_def_14,iPr_def_10)),
inference(demodulation,[status(thm)],[c_4362,c_121,c_3590,c_3591,c_3606]) ).
tcf(c_4493,plain,
meet(b,iPr_def_14) = meet(iPr_def_14,iPr_def_11),
inference(superposition,[status(thm)],[c_1843,c_452]) ).
tcf(c_4509,plain,
meet(iPr_def_14,b) = meet(iPr_def_14,iPr_def_11),
inference(demodulation,[status(thm)],[c_4493,c_121]) ).
tcf(c_10140,plain,
join(iPr_def_11,meet(iPr_def_10,iPr_def_12)) = join(iPr_def_12,meet(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_1442,c_286]) ).
tcf(c_10143,plain,
join(iPr_def_11,meet(iPr_def_10,iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_10140,c_1460]) ).
tcf(c_12173,plain,
join(meet(iPr_def_14,iPr_def_10),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_1001,c_337]) ).
tcf(c_12175,plain,
join(meet(iPr_def_10,iPr_def_10),meet(iPr_def_14,iPr_def_10)) = meet(iPr_def_14,iPr_def_10),
inference(superposition,[status(thm)],[c_3606,c_337]) ).
tcf(c_12207,plain,
meet(iPr_def_14,join(iPr_def_14,iPr_def_10)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_12173,c_120,c_4073]) ).
tcf(c_12208,plain,
join(iPr_def_10,meet(iPr_def_14,iPr_def_10)) = meet(iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_12175,c_123,c_120]) ).
tcf(c_12236,plain,
join(b,meet(iPr_def_10,iPr_def_13)) = join(b,meet(iPr_def_13,iPr_def_13)),
inference(superposition,[status(thm)],[c_599,c_339]) ).
tcf(c_12270,plain,
join(b,meet(iPr_def_14,iPr_def_10)) = iPr_def_13,
inference(demodulation,[status(thm)],[c_12236,c_123,c_120,c_599,c_3606]) ).
tcf(c_12829,plain,
join(iPr_def_10,meet(iPr_def_11,iPr_def_10)) = join(iPr_def_10,meet(iPr_def_12,iPr_def_10)),
inference(superposition,[status(thm)],[c_122,c_348]) ).
tcf(c_12864,plain,
meet(iPr_def_10,iPr_def_12) = meet(iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_12829,c_121,c_1442,c_4384,c_12208]) ).
tcf(c_12875,plain,
join(iPr_def_11,meet(iPr_def_14,iPr_def_10)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_10143,c_12864]) ).
tcf(c_13847,plain,
join(iPr_def_11,meet(a,iPr_def_13)) = meet(a,iPr_def_13),
inference(superposition,[status(thm)],[c_12270,c_206]) ).
tcf(c_13854,plain,
join(iPr_def_14,iPr_def_11) = iPr_def_14,
inference(demodulation,[status(thm)],[c_13847,c_121,c_120,c_353]) ).
tcf(c_13879,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_11,X0)) = join(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_13854,c_118]) ).
tcf(c_15349,plain,
meet(join(iPr_def_14,iPr_def_11),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_12875,c_328]) ).
tcf(c_15350,plain,
meet(iPr_def_14,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_15349,c_121,c_13854]) ).
tcf(c_15478,plain,
join(iPr_def_14,iPr_def_10) = join(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_322,c_13879]) ).
tcf(c_15481,plain,
join(iPr_def_14,meet(iPr_def_14,iPr_def_10)) = join(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_12875,c_13879]) ).
tcf(c_15521,plain,
join(iPr_def_14,meet(iPr_def_14,iPr_def_10)) = join(iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_15481,c_15478]) ).
tcf(c_15522,plain,
join(iPr_def_14,iPr_def_10) = iPr_def_14,
inference(demodulation,[status(thm)],[c_15521,c_120,c_4073,c_12207]) ).
tcf(c_16364,plain,
join(iPr_def_10,meet(b,iPr_def_14)) = join(iPr_def_10,meet(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_15522,c_255]) ).
tcf(c_16369,plain,
join(iPr_def_10,meet(iPr_def_14,iPr_def_11)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_16364,c_121,c_120,c_1001,c_4509,c_15522]) ).
tcf(c_25885,plain,
meet(join(iPr_def_10,iPr_def_11),iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_16369,c_360]) ).
tcf(c_25899,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_25885,c_121,c_120,c_322,c_15350]) ).
tcf(c_25900,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_25899,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT023-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 20:00:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 25.98/5.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 25.98/5.27 % SZS status Started for theBenchmark.p
% 25.98/5.27 % SZS status Unsatisfiable for theBenchmark.p
% 25.98/5.27
% 25.98/5.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.98/5.27
% 25.98/5.27 % ------ iProver source info
% 25.98/5.27
% 25.98/5.27 % git: date: 2026-07-19 20:42:38 +0200
% 25.98/5.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.98/5.27 % git: non_committed_changes: false
% 25.98/5.27
% 25.98/5.27 % ------ Parsing...% successful
% 25.98/5.27
% 25.98/5.27
% 25.98/5.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.98/5.27
% 25.98/5.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 25.98/5.27
% 25.98/5.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.98/5.27
% 25.98/5.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 25.98/5.27 % ------ Proving...
% 25.98/5.27 % ------ Problem Properties
% 25.98/5.27
% 25.98/5.27 %
% 25.98/5.27 % clauses 15
% 25.98/5.27 % conjectures 1
% 25.98/5.27 % EPR 1
% 25.98/5.27 % Horn 15
% 25.98/5.27 % unary 15
% 25.98/5.27 % binary 0
% 25.98/5.27 % lits 15
% 25.98/5.27 % lits eq 15
% 25.98/5.27 % fd_pure 0
% 25.98/5.27 % fd_pseudo 0
% 25.98/5.27 % fd_cond 0
% 25.98/5.27 % fd_pseudo_cond 0
% 25.98/5.27 % AC symbols 2
% 25.98/5.27
% 25.98/5.27 % ------ Input Options Time Limit: Unbounded
% 25.98/5.27
% 25.98/5.27
% 25.98/5.27 % ------
% 25.98/5.27 % Current options:
% 25.98/5.27 % ------
% 25.98/5.27
% 25.98/5.27
% 25.98/5.27 %
% 25.98/5.27
% 25.98/5.27 % ------ Proving...
% 25.98/5.27 %
% 25.98/5.27
% 25.98/5.27 % SZS status Unsatisfiable for theBenchmark.p
% 25.98/5.27
% 25.98/5.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.98/5.27
% 25.98/5.27
%------------------------------------------------------------------------------