%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:58:19 PM UTC 2026
% Result : Unsatisfiable 207.74s 41.20s
% Output : CNFRefutation 267.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 157 ( 157 unt; 10 def)
% Number of atoms : 486 ( 156 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 126 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H49) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H2) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))) = meet(X0,join(X1,meet(X2,join(X0,X3)))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))) != meet(a,join(b,meet(a,c))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_78,negated_conjecture,
meet(a,join(b,meet(c,join(meet(b,c),meet(a,join(b,c)))))) != meet(a,join(b,meet(a,c))),
inference(theory_normalisation,[status(thm)],[c_68,c_65,c_63,c_66,c_64]) ).
tcf(c_103,definition,
iPr_def_10 = meet(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_104,definition,
iPr_def_11 = join(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_105,definition,
iPr_def_12 = meet(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,definition,
iPr_def_13 = join(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_107,definition,
iPr_def_14 = meet(c,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_108,definition,
iPr_def_15 = join(b,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_109,definition,
iPr_def_16 = meet(a,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_110,definition,
iPr_def_17 = meet(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_111,definition,
iPr_def_18 = join(b,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_112,definition,
iPr_def_19 = meet(a,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_113,negated_conjecture,
iPr_def_16 != iPr_def_19,
inference(demodulation,[status(thm)],[c_78,c_110,c_111,c_112,c_104,c_105,c_103,c_106,c_107,c_108,c_109]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))) = meet(X0,join(X1,meet(X2,join(X0,X3)))),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_114,c_116]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_115,c_117]) ).
tcf(c_194,plain,
join(iPr_def_14,b) = iPr_def_15,
inference(demodulation,[status(thm)],[c_108,c_116]) ).
tcf(c_195,plain,
join(iPr_def_17,b) = iPr_def_18,
inference(demodulation,[status(thm)],[c_111,c_116]) ).
tcf(c_196,plain,
meet(iPr_def_11,a) = iPr_def_12,
inference(demodulation,[status(thm)],[c_105,c_117]) ).
tcf(c_197,plain,
meet(iPr_def_15,a) = iPr_def_16,
inference(demodulation,[status(thm)],[c_109,c_117]) ).
tcf(c_198,plain,
meet(iPr_def_18,a) = iPr_def_19,
inference(demodulation,[status(thm)],[c_112,c_117]) ).
tcf(c_199,plain,
meet(iPr_def_13,c) = iPr_def_14,
inference(demodulation,[status(thm)],[c_107,c_117]) ).
tcf(c_201,plain,
join(b,iPr_def_10) = b,
inference(superposition,[status(thm)],[c_103,c_118]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_117,c_118]) ).
tcf(c_206,plain,
join(iPr_def_15,iPr_def_16) = iPr_def_15,
inference(superposition,[status(thm)],[c_197,c_118]) ).
tcf(c_208,plain,
join(iPr_def_13,iPr_def_14) = iPr_def_13,
inference(superposition,[status(thm)],[c_199,c_118]) ).
tcf(c_209,plain,
join(iPr_def_10,b) = b,
inference(demodulation,[status(thm)],[c_201,c_116]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_116,c_119]) ).
tcf(c_216,plain,
meet(iPr_def_10,iPr_def_13) = iPr_def_10,
inference(superposition,[status(thm)],[c_106,c_119]) ).
tcf(c_217,plain,
meet(iPr_def_14,iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_194,c_119]) ).
tcf(c_223,plain,
meet(iPr_def_10,b) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_119]) ).
tcf(c_235,plain,
join(c,iPr_def_10) = c,
inference(superposition,[status(thm)],[c_103,c_203]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),X0) = join(X0,X1),
inference(superposition,[status(thm)],[c_119,c_203]) ).
tcf(c_243,plain,
join(c,iPr_def_14) = c,
inference(superposition,[status(thm)],[c_199,c_203]) ).
tcf(c_254,plain,
join(iPr_def_14,c) = c,
inference(demodulation,[status(thm)],[c_243,c_116]) ).
tcf(c_258,plain,
join(iPr_def_10,c) = c,
inference(demodulation,[status(thm)],[c_235,c_116]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(demodulation,[status(thm)],[c_237,c_116]) ).
tcf(c_265,plain,
meet(iPr_def_14,c) = iPr_def_14,
inference(superposition,[status(thm)],[c_254,c_119]) ).
tcf(c_269,plain,
meet(iPr_def_10,c) = iPr_def_10,
inference(superposition,[status(thm)],[c_258,c_119]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(superposition,[status(thm)],[c_203,c_215]) ).
tcf(c_289,plain,
meet(iPr_def_12,iPr_def_13) = iPr_def_12,
inference(superposition,[status(thm)],[c_106,c_215]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),X1) = join(X0,X1),
inference(superposition,[status(thm)],[c_215,c_203]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(demodulation,[status(thm)],[c_309,c_116]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_288,c_117]) ).
tcf(c_461,plain,
! [X0: $i] : join(b,join(c,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_104,c_114]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_203,c_114]) ).
tcf(c_465,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_106,c_114]) ).
tcf(c_466,plain,
! [X0: $i] : join(iPr_def_14,join(b,X0)) = join(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_194,c_114]) ).
tcf(c_467,plain,
! [X0: $i] : join(iPr_def_17,join(b,X0)) = join(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_195,c_114]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X0,X1),
inference(superposition,[status(thm)],[c_114,c_119]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_114,c_215]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,meet(X2,join(X0,X1)))) = join(X0,X1),
inference(superposition,[status(thm)],[c_114,c_203]) ).
tcf(c_538,plain,
! [X0: $i] : join(iPr_def_11,meet(X0,c)) = join(b,c),
inference(superposition,[status(thm)],[c_203,c_461]) ).
tcf(c_548,plain,
! [X0: $i] : join(iPr_def_11,meet(X0,c)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_538,c_104]) ).
tcf(c_583,plain,
join(iPr_def_11,iPr_def_14) = iPr_def_11,
inference(superposition,[status(thm)],[c_199,c_548]) ).
tcf(c_592,plain,
! [X0: $i] : meet(meet(X0,c),iPr_def_11) = meet(X0,c),
inference(superposition,[status(thm)],[c_548,c_215]) ).
tcf(c_595,plain,
! [X0: $i] : meet(iPr_def_11,meet(X0,c)) = meet(X0,c),
inference(demodulation,[status(thm)],[c_592,c_117]) ).
tcf(c_659,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_12)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_116,c_465]) ).
tcf(c_758,plain,
join(iPr_def_14,iPr_def_11) = join(iPr_def_15,c),
inference(superposition,[status(thm)],[c_104,c_466]) ).
tcf(c_762,plain,
! [X0: $i] : join(iPr_def_14,join(X0,b)) = join(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_116,c_466]) ).
tcf(c_773,plain,
join(iPr_def_15,c) = iPr_def_11,
inference(demodulation,[status(thm)],[c_758,c_116,c_583]) ).
tcf(c_790,plain,
join(iPr_def_15,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_773,c_260]) ).
tcf(c_795,plain,
join(iPr_def_11,iPr_def_15) = iPr_def_11,
inference(demodulation,[status(thm)],[c_790,c_116]) ).
tcf(c_892,plain,
! [X0: $i] : meet(iPr_def_11,meet(a,X0)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_196,c_115]) ).
tcf(c_893,plain,
! [X0: $i] : meet(iPr_def_15,meet(a,X0)) = meet(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_197,c_115]) ).
tcf(c_896,plain,
! [X0: $i] : meet(iPr_def_10,meet(iPr_def_13,X0)) = meet(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_216,c_115]) ).
tcf(c_897,plain,
! [X0: $i] : meet(iPr_def_14,meet(iPr_def_15,X0)) = meet(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_217,c_115]) ).
tcf(c_908,plain,
! [X0: $i] : meet(iPr_def_12,meet(iPr_def_13,X0)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_289,c_115]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] : meet(iPr_def_15,join(X0,join(iPr_def_16,meet(a,join(X0,X1))))) = meet(iPr_def_15,join(X0,meet(a,join(iPr_def_15,X1)))),
inference(superposition,[status(thm)],[c_197,c_122]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i] : meet(X0,join(b,join(meet(X0,X1),meet(X1,iPr_def_11)))) = meet(X0,join(b,meet(X1,join(X0,c)))),
inference(superposition,[status(thm)],[c_104,c_122]) ).
tcf(c_1289,plain,
! [X0: $i] : join(iPr_def_18,meet(X0,b)) = join(iPr_def_17,b),
inference(superposition,[status(thm)],[c_203,c_467]) ).
tcf(c_1301,plain,
! [X0: $i] : join(iPr_def_18,meet(X0,b)) = iPr_def_18,
inference(demodulation,[status(thm)],[c_1289,c_195]) ).
tcf(c_1405,plain,
! [X0: $i] : join(iPr_def_17,join(X0,b)) = join(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_195,c_188]) ).
tcf(c_1465,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_188,c_119]) ).
tcf(c_1604,plain,
! [X0: $i] : meet(a,meet(X0,c)) = meet(X0,iPr_def_17),
inference(superposition,[status(thm)],[c_110,c_189]) ).
tcf(c_1987,plain,
join(iPr_def_18,iPr_def_10) = iPr_def_18,
inference(superposition,[status(thm)],[c_223,c_1301]) ).
tcf(c_2000,plain,
join(iPr_def_10,iPr_def_18) = iPr_def_18,
inference(demodulation,[status(thm)],[c_1987,c_116]) ).
tcf(c_2010,plain,
! [X0: $i] : join(iPr_def_10,join(X0,iPr_def_18)) = join(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_2000,c_188]) ).
tcf(c_3798,plain,
! [X0: $i] : meet(iPr_def_16,join(X0,iPr_def_15)) = iPr_def_16,
inference(superposition,[status(thm)],[c_206,c_495]) ).
tcf(c_3984,plain,
! [X0: $i] : meet(iPr_def_16,join(iPr_def_15,X0)) = iPr_def_16,
inference(superposition,[status(thm)],[c_116,c_3798]) ).
tcf(c_3988,plain,
meet(iPr_def_16,iPr_def_11) = iPr_def_16,
inference(superposition,[status(thm)],[c_795,c_3798]) ).
tcf(c_4002,plain,
meet(iPr_def_11,iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_3988,c_117]) ).
tcf(c_7946,plain,
join(iPr_def_14,iPr_def_18) = join(iPr_def_15,iPr_def_17),
inference(superposition,[status(thm)],[c_195,c_762]) ).
tcf(c_7970,plain,
! [X0: $i] : join(iPr_def_15,meet(X0,iPr_def_14)) = join(iPr_def_14,b),
inference(superposition,[status(thm)],[c_762,c_464]) ).
tcf(c_7979,plain,
! [X0: $i] : join(iPr_def_15,meet(X0,iPr_def_14)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7970,c_194]) ).
tcf(c_8018,plain,
meet(iPr_def_16,join(iPr_def_14,iPr_def_18)) = iPr_def_16,
inference(superposition,[status(thm)],[c_7946,c_3984]) ).
tcf(c_8184,plain,
join(iPr_def_14,join(iPr_def_18,iPr_def_16)) = join(iPr_def_14,iPr_def_18),
inference(superposition,[status(thm)],[c_8018,c_496]) ).
tcf(c_8186,plain,
join(iPr_def_14,join(iPr_def_16,iPr_def_18)) = join(iPr_def_14,iPr_def_18),
inference(demodulation,[status(thm)],[c_8184,c_116]) ).
tcf(c_9684,plain,
meet(a,c) = meet(iPr_def_12,c),
inference(superposition,[status(thm)],[c_892,c_595]) ).
tcf(c_9685,plain,
meet(iPr_def_12,c) = iPr_def_17,
inference(demodulation,[status(thm)],[c_9684,c_110]) ).
tcf(c_9961,plain,
meet(iPr_def_15,iPr_def_17) = meet(iPr_def_16,c),
inference(superposition,[status(thm)],[c_110,c_893]) ).
tcf(c_10006,plain,
join(iPr_def_16,meet(iPr_def_15,iPr_def_17)) = iPr_def_16,
inference(superposition,[status(thm)],[c_9961,c_118]) ).
tcf(c_10308,plain,
meet(iPr_def_10,c) = meet(iPr_def_10,iPr_def_14),
inference(superposition,[status(thm)],[c_199,c_896]) ).
tcf(c_10332,plain,
meet(iPr_def_10,iPr_def_14) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10308,c_269]) ).
tcf(c_10351,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_10,X0)) = join(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_10332,c_464]) ).
tcf(c_10364,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_14,X0)) = join(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_10351,c_188]) ).
tcf(c_10393,plain,
meet(iPr_def_14,a) = meet(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_197,c_897]) ).
tcf(c_12395,plain,
meet(iPr_def_12,c) = meet(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_199,c_908]) ).
tcf(c_12417,plain,
meet(iPr_def_12,iPr_def_14) = iPr_def_17,
inference(demodulation,[status(thm)],[c_12395,c_9685]) ).
tcf(c_12436,plain,
meet(iPr_def_14,iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_12417,c_318]) ).
tcf(c_12441,plain,
join(iPr_def_15,iPr_def_17) = iPr_def_15,
inference(superposition,[status(thm)],[c_12417,c_7979]) ).
tcf(c_12444,plain,
join(iPr_def_14,iPr_def_18) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7946,c_12441]) ).
tcf(c_12505,plain,
meet(iPr_def_17,iPr_def_15) = iPr_def_17,
inference(superposition,[status(thm)],[c_12441,c_215]) ).
tcf(c_12520,plain,
meet(iPr_def_15,iPr_def_17) = iPr_def_17,
inference(demodulation,[status(thm)],[c_12505,c_117]) ).
tcf(c_12527,plain,
join(iPr_def_16,iPr_def_17) = iPr_def_16,
inference(demodulation,[status(thm)],[c_10006,c_12520]) ).
tcf(c_12528,plain,
meet(iPr_def_16,c) = iPr_def_17,
inference(demodulation,[status(thm)],[c_9961,c_12520]) ).
tcf(c_16354,plain,
! [X0: $i] : join(iPr_def_17,join(b,X0)) = join(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_116,c_1405]) ).
tcf(c_18242,plain,
meet(a,iPr_def_14) = meet(iPr_def_14,iPr_def_17),
inference(superposition,[status(thm)],[c_265,c_1604]) ).
tcf(c_18274,plain,
meet(iPr_def_14,iPr_def_16) = iPr_def_17,
inference(demodulation,[status(thm)],[c_18242,c_117,c_10393,c_12436]) ).
tcf(c_41736,plain,
join(iPr_def_14,join(iPr_def_16,iPr_def_18)) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_8186,c_12444]) ).
tcf(c_41749,plain,
meet(join(iPr_def_14,iPr_def_16),iPr_def_15) = join(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_41736,c_492]) ).
tcf(c_41767,plain,
meet(iPr_def_15,join(iPr_def_14,iPr_def_16)) = join(iPr_def_14,iPr_def_16),
inference(demodulation,[status(thm)],[c_41749,c_117]) ).
tcf(c_50372,plain,
join(iPr_def_13,iPr_def_14) = join(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_10364,c_659]) ).
tcf(c_50398,plain,
join(iPr_def_12,iPr_def_14) = iPr_def_13,
inference(demodulation,[status(thm)],[c_50372,c_116,c_208]) ).
tcf(c_183774,plain,
meet(iPr_def_15,join(iPr_def_14,join(iPr_def_16,meet(a,c)))) = meet(iPr_def_15,join(iPr_def_14,meet(a,join(iPr_def_15,c)))),
inference(superposition,[status(thm)],[c_254,c_1028]) ).
tcf(c_183778,plain,
meet(iPr_def_15,join(iPr_def_10,join(iPr_def_16,meet(a,c)))) = meet(iPr_def_15,join(iPr_def_10,meet(a,join(iPr_def_15,c)))),
inference(superposition,[status(thm)],[c_258,c_1028]) ).
tcf(c_184360,plain,
meet(iPr_def_15,join(iPr_def_10,iPr_def_16)) = meet(iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_183778,c_117,c_106,c_110,c_196,c_773,c_12527]) ).
tcf(c_184361,plain,
join(iPr_def_14,iPr_def_16) = meet(iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_183774,c_117,c_116,c_110,c_196,c_773,c_12527,c_41767,c_50398]) ).
tcf(c_187538,plain,
join(iPr_def_16,meet(iPr_def_13,iPr_def_15)) = meet(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_184361,c_317]) ).
tcf(c_187545,plain,
! [X0: $i] : meet(iPr_def_14,join(X0,meet(iPr_def_13,iPr_def_15))) = iPr_def_14,
inference(superposition,[status(thm)],[c_184361,c_1465]) ).
tcf(c_187553,plain,
join(iPr_def_10,meet(iPr_def_13,iPr_def_15)) = meet(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_184361,c_10364]) ).
tcf(c_187706,plain,
join(iPr_def_10,join(iPr_def_16,meet(iPr_def_13,iPr_def_15))) = join(iPr_def_10,iPr_def_16),
inference(superposition,[status(thm)],[c_184360,c_496]) ).
tcf(c_187722,plain,
join(iPr_def_10,iPr_def_16) = meet(iPr_def_13,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_187706,c_187538,c_187553]) ).
tcf(c_187771,plain,
! [X0: $i] : join(meet(iPr_def_13,iPr_def_15),X0) = join(iPr_def_10,join(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_187722,c_114]) ).
tcf(c_188092,plain,
! [X0: $i] : meet(iPr_def_14,join(meet(iPr_def_13,iPr_def_15),X0)) = iPr_def_14,
inference(superposition,[status(thm)],[c_116,c_187545]) ).
tcf(c_188163,plain,
! [X0: $i] : meet(iPr_def_14,join(iPr_def_10,join(iPr_def_16,X0))) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_188092,c_187771]) ).
tcf(c_188666,plain,
meet(iPr_def_14,join(iPr_def_16,iPr_def_18)) = iPr_def_14,
inference(superposition,[status(thm)],[c_2010,c_188163]) ).
tcf(c_188835,plain,
join(iPr_def_16,join(iPr_def_18,iPr_def_14)) = join(iPr_def_16,iPr_def_18),
inference(superposition,[status(thm)],[c_188666,c_496]) ).
tcf(c_188860,plain,
join(iPr_def_16,iPr_def_18) = iPr_def_15,
inference(demodulation,[status(thm)],[c_188835,c_116,c_206,c_12444]) ).
tcf(c_359235,plain,
meet(iPr_def_14,join(b,join(iPr_def_17,meet(iPr_def_16,iPr_def_11)))) = meet(iPr_def_14,join(b,meet(iPr_def_16,join(iPr_def_14,c)))),
inference(superposition,[status(thm)],[c_18274,c_1079]) ).
tcf(c_360034,plain,
meet(iPr_def_14,iPr_def_18) = iPr_def_14,
inference(demodulation,[status(thm)],[c_359235,c_117,c_116,c_188,c_195,c_217,c_254,c_4002,c_12528,c_16354,c_188860]) ).
tcf(c_368508,plain,
join(iPr_def_18,iPr_def_14) = iPr_def_18,
inference(superposition,[status(thm)],[c_360034,c_203]) ).
tcf(c_368570,plain,
iPr_def_15 = iPr_def_18,
inference(demodulation,[status(thm)],[c_368508,c_116,c_12444]) ).
tcf(c_368840,plain,
meet(iPr_def_15,a) = iPr_def_19,
inference(demodulation,[status(thm)],[c_198,c_368570]) ).
tcf(c_368842,plain,
iPr_def_16 = iPr_def_19,
inference(demodulation,[status(thm)],[c_368840,c_197]) ).
tcf(c_368843,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_368842,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.37 % Computer : n014.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Wed Sep 23 20:23:54 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.41 Running UEQ theorem proving
% 0.16/5.41 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
% 0.16/5.42
% 0.16/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.42
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.44 % Proving...
% 207.74/41.20 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 207.74/41.20 % SZS status Started for theBenchmark.p
% 207.74/41.20 % SZS status Unsatisfiable for theBenchmark.p
% 207.74/41.20
% 207.74/41.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 207.74/41.20
% 207.74/41.20 % ------ iProver source info
% 207.74/41.20
% 207.74/41.20 % git: date: 2026-07-19 20:42:38 +0200
% 207.74/41.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 207.74/41.20 % git: non_committed_changes: false
% 207.74/41.20
% 207.74/41.20 % ------ Parsing...% successful
% 207.74/41.20
% 207.74/41.20
% 207.74/41.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 207.74/41.20
% 207.74/41.20 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 207.74/41.20
% 207.74/41.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 207.74/41.20
% 207.74/41.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 207.74/41.20 % ------ Proving...
% 207.74/41.20 % ------ Problem Properties
% 207.74/41.20
% 207.74/41.20 %
% 207.74/41.20 % clauses 20
% 207.74/41.20 % conjectures 1
% 207.74/41.20 % EPR 1
% 207.74/41.20 % Horn 20
% 207.74/41.20 % unary 20
% 207.74/41.20 % binary 0
% 207.74/41.20 % lits 20
% 207.74/41.20 % lits eq 20
% 207.74/41.20 % fd_pure 0
% 207.74/41.20 % fd_pseudo 0
% 207.74/41.20 % fd_cond 0
% 207.74/41.20 % fd_pseudo_cond 0
% 207.74/41.20 % AC symbols 2
% 207.74/41.20
% 207.74/41.20 % ------ Input Options Time Limit: Unbounded
% 207.74/41.20
% 207.74/41.20
% 207.74/41.20 % ------
% 207.74/41.20 % Current options:
% 207.74/41.20 % ------
% 207.74/41.20
% 207.74/41.20
% 207.74/41.20 %
% 207.74/41.20
% 207.74/41.20 % ------ Proving...
% 207.74/41.20 %
% 207.74/41.20
% 207.74/41.20 % SZS status Unsatisfiable for theBenchmark.p
% 207.74/41.20
% 207.74/41.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 267.64/41.20
% 267.64/41.20
%------------------------------------------------------------------------------