%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT152-1 : 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 : n019.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 01:58:18 PM UTC 2026
% Result : Unsatisfiable 102.04s 22.53s
% Output : CNFRefutation 102.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 81 ( 81 unt; 7 def)
% Number of atoms : 179 ( 80 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 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 : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 91 !; 0 ?; 73 :)
% 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,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H40) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H6) ).
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,meet(X2,join(X3,meet(X2,join(X0,X1)))))) = meet(X0,join(X1,meet(X2,join(X0,X3)))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_78,negated_conjecture,
meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,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 = join(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_104,definition,
iPr_def_11 = meet(c,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_105,definition,
iPr_def_12 = meet(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,definition,
iPr_def_13 = join(b,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_107,definition,
iPr_def_14 = meet(a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_108,definition,
iPr_def_15 = join(iPr_def_11,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,negated_conjecture,
iPr_def_16 != iPr_def_14,
inference(demodulation,[status(thm)],[c_78,c_105,c_106,c_107,c_103,c_104,c_108,c_109]) ).
tcf(c_111,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_112,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_113,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))) = meet(X0,join(X1,meet(X2,join(X0,X3)))),
inference(demodulation,[status(thm)],[c_67]) ).
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_112,c_114]) ).
tcf(c_185,plain,
join(iPr_def_12,b) = iPr_def_13,
inference(demodulation,[status(thm)],[c_106,c_113]) ).
tcf(c_186,plain,
meet(iPr_def_13,a) = iPr_def_14,
inference(demodulation,[status(thm)],[c_107,c_114]) ).
tcf(c_187,plain,
meet(iPr_def_15,a) = iPr_def_16,
inference(demodulation,[status(thm)],[c_109,c_114]) ).
tcf(c_188,plain,
meet(iPr_def_10,c) = iPr_def_11,
inference(demodulation,[status(thm)],[c_104,c_114]) ).
tcf(c_189,plain,
join(a,iPr_def_12) = a,
inference(superposition,[status(thm)],[c_105,c_115]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_114,c_115]) ).
tcf(c_193,plain,
join(iPr_def_13,iPr_def_14) = iPr_def_13,
inference(superposition,[status(thm)],[c_186,c_115]) ).
tcf(c_196,plain,
join(iPr_def_12,a) = a,
inference(demodulation,[status(thm)],[c_189,c_113]) ).
tcf(c_198,plain,
meet(a,iPr_def_10) = a,
inference(superposition,[status(thm)],[c_103,c_116]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_113,c_116]) ).
tcf(c_209,plain,
meet(iPr_def_10,a) = a,
inference(demodulation,[status(thm)],[c_198,c_114]) ).
tcf(c_213,plain,
join(iPr_def_10,a) = iPr_def_10,
inference(superposition,[status(thm)],[c_209,c_115]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(superposition,[status(thm)],[c_115,c_201]) ).
tcf(c_256,plain,
meet(iPr_def_14,iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_108,c_201]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),X1) = join(X0,X1),
inference(superposition,[status(thm)],[c_201,c_191]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
inference(demodulation,[status(thm)],[c_270,c_113]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[c_253,c_114]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_115,c_111]) ).
tcf(c_394,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_14,X0)) = join(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_108,c_111]) ).
tcf(c_399,plain,
! [X0: $i] : join(iPr_def_12,join(a,X0)) = join(a,X0),
inference(superposition,[status(thm)],[c_196,c_111]) ).
tcf(c_400,plain,
! [X0: $i] : join(iPr_def_10,join(a,X0)) = join(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_213,c_111]) ).
tcf(c_535,plain,
! [X0: $i] : join(iPr_def_11,join(X0,iPr_def_14)) = join(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_113,c_394]) ).
tcf(c_902,plain,
! [X0: $i] : join(iPr_def_12,join(X0,a)) = join(X0,a),
inference(superposition,[status(thm)],[c_276,c_399]) ).
tcf(c_990,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,a)) = join(iPr_def_10,a),
inference(superposition,[status(thm)],[c_191,c_400]) ).
tcf(c_1000,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,a)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_990,c_213]) ).
tcf(c_1021,plain,
! [X0: $i] : meet(meet(X0,a),iPr_def_10) = meet(X0,a),
inference(superposition,[status(thm)],[c_1000,c_201]) ).
tcf(c_1024,plain,
! [X0: $i] : meet(iPr_def_10,meet(X0,a)) = meet(X0,a),
inference(demodulation,[status(thm)],[c_1021,c_114]) ).
tcf(c_1105,plain,
! [X0: $i] : meet(a,meet(c,X0)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_105,c_112]) ).
tcf(c_1111,plain,
! [X0: $i] : meet(iPr_def_10,meet(c,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_188,c_112]) ).
tcf(c_1271,plain,
! [X0: $i,X1: $i] : meet(a,join(b,meet(X0,join(X1,meet(X0,iPr_def_10))))) = meet(a,join(b,meet(X0,join(a,X1)))),
inference(superposition,[status(thm)],[c_103,c_119]) ).
tcf(c_3762,plain,
join(iPr_def_11,iPr_def_13) = join(iPr_def_15,iPr_def_13),
inference(superposition,[status(thm)],[c_193,c_535]) ).
tcf(c_3783,plain,
join(iPr_def_11,iPr_def_13) = join(iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_3762,c_113]) ).
tcf(c_3822,plain,
meet(iPr_def_15,join(iPr_def_11,iPr_def_13)) = iPr_def_15,
inference(superposition,[status(thm)],[c_3783,c_201]) ).
tcf(c_3945,plain,
! [X0: $i] : meet(iPr_def_15,meet(X0,join(iPr_def_11,iPr_def_13))) = meet(X0,iPr_def_15),
inference(superposition,[status(thm)],[c_3822,c_180]) ).
tcf(c_4785,plain,
! [X0: $i] : join(meet(iPr_def_12,X0),a) = join(iPr_def_12,a),
inference(superposition,[status(thm)],[c_902,c_392]) ).
tcf(c_4791,plain,
! [X0: $i] : join(a,meet(iPr_def_12,X0)) = a,
inference(demodulation,[status(thm)],[c_4785,c_113,c_196]) ).
tcf(c_5713,plain,
! [X0: $i] : join(meet(c,X0),meet(iPr_def_12,X0)) = meet(c,X0),
inference(superposition,[status(thm)],[c_1105,c_191]) ).
tcf(c_5719,plain,
! [X0: $i] : join(meet(iPr_def_12,X0),meet(c,X0)) = meet(c,X0),
inference(demodulation,[status(thm)],[c_5713,c_113]) ).
tcf(c_7657,plain,
meet(c,a) = meet(iPr_def_11,a),
inference(superposition,[status(thm)],[c_1111,c_1024]) ).
tcf(c_7658,plain,
meet(iPr_def_11,a) = iPr_def_12,
inference(demodulation,[status(thm)],[c_7657,c_114,c_105]) ).
tcf(c_7673,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_7658,c_392]) ).
tcf(c_26514,plain,
join(iPr_def_11,b) = join(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_185,c_7673]) ).
tcf(c_137782,plain,
meet(a,join(b,meet(c,join(a,meet(iPr_def_12,iPr_def_10))))) = meet(a,join(b,meet(c,meet(c,iPr_def_10)))),
inference(superposition,[status(thm)],[c_5719,c_1271]) ).
tcf(c_137862,plain,
meet(a,join(iPr_def_11,iPr_def_13)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_137782,c_114,c_113,c_105,c_185,c_186,c_188,c_278,c_4791,c_26514]) ).
tcf(c_140725,plain,
meet(a,iPr_def_15) = meet(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_137862,c_3945]) ).
tcf(c_140727,plain,
iPr_def_14 = iPr_def_16,
inference(demodulation,[status(thm)],[c_140725,c_114,c_187,c_256]) ).
tcf(c_140906,plain,
iPr_def_14 != iPr_def_14,
inference(demodulation,[status(thm)],[c_110,c_140727]) ).
tcf(c_140907,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_140906]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT152-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n019.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Wed Sep 23 20:23:49 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.48 Running UEQ theorem proving
% 0.16/0.48 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
% 0.16/0.50
% 0.16/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.50
% 0.16/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 102.04/22.53 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 102.04/22.53 % SZS status Started for theBenchmark.p
% 102.04/22.53 % SZS status Unsatisfiable for theBenchmark.p
% 102.04/22.53
% 102.04/22.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 102.04/22.53
% 102.04/22.53 % ------ iProver source info
% 102.04/22.53
% 102.04/22.53 % git: date: 2026-07-19 20:42:38 +0200
% 102.04/22.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 102.04/22.53 % git: non_committed_changes: false
% 102.04/22.53
% 102.04/22.53 % ------ Parsing...% successful
% 102.04/22.53
% 102.04/22.53
% 102.04/22.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 102.04/22.53
% 102.04/22.53 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 102.04/22.53
% 102.04/22.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 102.04/22.53
% 102.04/22.53 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 102.04/22.53 % ------ Proving...
% 102.04/22.53 % ------ Problem Properties
% 102.04/22.53
% 102.04/22.53 %
% 102.04/22.53 % clauses 17
% 102.04/22.53 % conjectures 1
% 102.04/22.53 % EPR 1
% 102.04/22.53 % Horn 17
% 102.04/22.53 % unary 17
% 102.04/22.53 % binary 0
% 102.04/22.53 % lits 17
% 102.04/22.53 % lits eq 17
% 102.04/22.53 % fd_pure 0
% 102.04/22.53 % fd_pseudo 0
% 102.04/22.53 % fd_cond 0
% 102.04/22.53 % fd_pseudo_cond 0
% 102.04/22.53 % AC symbols 2
% 102.04/22.53
% 102.04/22.53 % ------ Input Options Time Limit: Unbounded
% 102.04/22.53
% 102.04/22.53
% 102.04/22.53 % ------
% 102.04/22.53 % Current options:
% 102.04/22.53 % ------
% 102.04/22.53
% 102.04/22.53
% 102.04/22.53 %
% 102.04/22.53
% 102.04/22.53 % ------ Proving...
% 102.04/22.53 %
% 102.04/22.53
% 102.04/22.53 % SZS status Unsatisfiable for theBenchmark.p
% 102.04/22.53
% 102.04/22.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 102.04/22.53
% 102.04/22.53
%------------------------------------------------------------------------------