%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:58:09 PM UTC 2026
% Result : Unsatisfiable 11.93s 2.70s
% Output : CNFRefutation 11.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 78 ( 78 unt; 9 def)
% Number of atoms : 206 ( 77 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
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,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f11,axiom,
! [X2,X0,X1] : f(join(X0,X1),X2) = join(f(X0,X2),f(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_left_join) ).
fof(f17,axiom,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
fof(f18,axiom,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
fof(f19,negated_conjecture,
f(aa,dd) != f(cc,dd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : join(f(X0,X1),f(X2,X1)) = f(join(X0,X2),X1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_80,plain,
f(join(aa,bb),dd) = f(join(cc,bb),dd),
inference(cnf_transformation,[],[f17]) ).
tcf(c_81,plain,
meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_82,negated_conjecture,
f(aa,dd) != f(cc,dd),
inference(cnf_transformation,[],[f19]) ).
tcf(c_136,definition,
iPr_def_10 = f(aa,dd),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_137,definition,
iPr_def_11 = f(cc,dd),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_138,definition,
iPr_def_12 = f(bb,dd),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_139,definition,
iPr_def_13 = meet(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_140,definition,
iPr_def_14 = meet(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_141,definition,
iPr_def_15 = join(aa,bb),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_142,definition,
iPr_def_16 = f(iPr_def_15,dd),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_143,definition,
iPr_def_17 = join(cc,bb),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_144,definition,
iPr_def_18 = f(iPr_def_17,dd),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_145,negated_conjecture,
iPr_def_10 != iPr_def_11,
inference(demodulation,[status(thm)],[c_82,c_137,c_136]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_154,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_81,c_140,c_138,c_139]) ).
tcf(c_155,plain,
iPr_def_16 = iPr_def_18,
inference(demodulation,[status(thm)],[c_80,c_143,c_144,c_141,c_142]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] : join(f(X0,X1),f(X2,X1)) = f(join(X0,X2),X1),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X1,X2)),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_247,plain,
meet(iPr_def_11,iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_140,c_154]) ).
tcf(c_248,plain,
f(iPr_def_17,dd) = iPr_def_16,
inference(demodulation,[status(thm)],[c_144,c_155]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_147,c_149]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_146,c_148]) ).
tcf(c_260,plain,
join(iPr_def_10,iPr_def_13) = iPr_def_10,
inference(superposition,[status(thm)],[c_139,c_150]) ).
tcf(c_261,plain,
join(iPr_def_11,iPr_def_13) = iPr_def_11,
inference(superposition,[status(thm)],[c_247,c_150]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_249,c_150]) ).
tcf(c_398,plain,
! [X0: $i] : join(iPr_def_12,f(X0,dd)) = f(join(bb,X0),dd),
inference(superposition,[status(thm)],[c_138,c_159]) ).
tcf(c_440,plain,
! [X0: $i] : meet(iPr_def_10,join(iPr_def_12,X0)) = join(iPr_def_13,meet(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_139,c_160]) ).
tcf(c_441,plain,
! [X0: $i] : meet(iPr_def_11,join(iPr_def_12,X0)) = join(iPr_def_13,meet(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_247,c_160]) ).
tcf(c_567,plain,
join(iPr_def_13,iPr_def_10) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_260,c_147,c_149,c_146,c_148]) ).
tcf(c_1055,plain,
! [X0: $i] : join(iPr_def_10,meet(X0,iPr_def_13)) = iPr_def_10,
inference(superposition,[status(thm)],[c_139,c_373]) ).
tcf(c_1056,plain,
! [X0: $i] : join(iPr_def_11,meet(X0,iPr_def_13)) = iPr_def_11,
inference(superposition,[status(thm)],[c_247,c_373]) ).
tcf(c_1827,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(meet(X0,iPr_def_13),X1)) = join(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_1055,c_146]) ).
tcf(c_1830,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,join(X0,meet(X1,iPr_def_13))) = join(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_1055,c_250]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(meet(X0,iPr_def_13),X1)) = join(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_1056,c_146]) ).
tcf(c_1861,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,join(X0,meet(X1,iPr_def_13))) = join(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1056,c_250]) ).
tcf(c_8278,plain,
f(join(bb,aa),dd) = join(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_136,c_398]) ).
tcf(c_8280,plain,
f(join(bb,cc),dd) = join(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_137,c_398]) ).
tcf(c_8312,plain,
f(join(cc,bb),dd) = join(iPr_def_11,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_8280,c_147,c_149,c_146,c_148]) ).
tcf(c_8313,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_16,
inference(demodulation,[status(thm)],[c_8312,c_143,c_248]) ).
tcf(c_8314,plain,
f(join(aa,bb),dd) = join(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_8278,c_147,c_149,c_146,c_148]) ).
tcf(c_8315,plain,
join(iPr_def_10,iPr_def_12) = iPr_def_16,
inference(demodulation,[status(thm)],[c_8314,c_141,c_142]) ).
tcf(c_8459,plain,
! [X0: $i] : meet(join(iPr_def_11,X0),iPr_def_16) = join(iPr_def_11,meet(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_8313,c_161]) ).
tcf(c_8476,plain,
! [X0: $i] : meet(join(iPr_def_10,X0),iPr_def_16) = join(iPr_def_10,meet(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_8315,c_161]) ).
tcf(c_8738,plain,
! [X0: $i] : meet(iPr_def_16,join(iPr_def_10,X0)) = join(iPr_def_10,meet(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8476,c_147,c_149,c_146,c_148]) ).
tcf(c_8739,plain,
! [X0: $i] : meet(iPr_def_16,join(iPr_def_11,X0)) = join(iPr_def_11,meet(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_8459,c_147,c_149,c_146,c_148]) ).
tcf(c_25313,plain,
! [X0: $i,X1: $i] : join(iPr_def_10,meet(X0,join(iPr_def_13,X1))) = join(iPr_def_10,meet(X0,X1)),
inference(superposition,[status(thm)],[c_160,c_1827]) ).
tcf(c_26265,plain,
join(iPr_def_10,meet(iPr_def_11,join(iPr_def_12,iPr_def_13))) = join(iPr_def_13,iPr_def_10),
inference(superposition,[status(thm)],[c_441,c_1830]) ).
tcf(c_26387,plain,
join(iPr_def_10,meet(iPr_def_11,join(iPr_def_13,iPr_def_12))) = join(iPr_def_13,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_26265,c_147,c_149,c_146,c_148]) ).
tcf(c_26388,plain,
meet(iPr_def_16,join(iPr_def_11,iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_26387,c_148,c_567,c_8738,c_25313]) ).
tcf(c_26712,plain,
! [X0: $i,X1: $i] : join(iPr_def_11,meet(X0,join(iPr_def_13,X1))) = join(iPr_def_11,meet(X0,X1)),
inference(superposition,[status(thm)],[c_160,c_1858]) ).
tcf(c_27403,plain,
join(iPr_def_11,meet(iPr_def_10,join(iPr_def_12,iPr_def_13))) = join(iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_440,c_1861]) ).
tcf(c_27542,plain,
join(iPr_def_11,meet(iPr_def_10,join(iPr_def_13,iPr_def_12))) = join(iPr_def_11,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_27403,c_147,c_149,c_146,c_148]) ).
tcf(c_27543,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_27542,c_261,c_8739,c_26712,c_26388]) ).
tcf(c_27544,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_27543,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 20:04:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running UEQ theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 11.93/2.70 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 11.93/2.70 % SZS status Started for theBenchmark.p
% 11.93/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 11.93/2.70
% 11.93/2.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.93/2.70
% 11.93/2.70 % ------ iProver source info
% 11.93/2.70
% 11.93/2.70 % git: date: 2026-07-19 20:42:38 +0200
% 11.93/2.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.93/2.70 % git: non_committed_changes: false
% 11.93/2.70
% 11.93/2.70 % ------ Parsing...% successful
% 11.93/2.70
% 11.93/2.70
% 11.93/2.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.93/2.70
% 11.93/2.70 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 11.93/2.70
% 11.93/2.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.93/2.70
% 11.93/2.70 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.93/2.70 % ------ Proving...
% 11.93/2.70 % ------ Problem Properties
% 11.93/2.70
% 11.93/2.70 %
% 11.93/2.70 % clauses 26
% 11.93/2.70 % conjectures 1
% 11.93/2.70 % EPR 3
% 11.93/2.70 % Horn 26
% 11.93/2.70 % unary 26
% 11.93/2.70 % binary 0
% 11.93/2.70 % lits 26
% 11.93/2.70 % lits eq 26
% 11.93/2.70 % fd_pure 0
% 11.93/2.70 % fd_pseudo 0
% 11.93/2.70 % fd_cond 0
% 11.93/2.70 % fd_pseudo_cond 0
% 11.93/2.70 % AC symbols 2
% 11.93/2.70
% 11.93/2.70 % ------ Input Options Time Limit: Unbounded
% 11.93/2.70
% 11.93/2.70
% 11.93/2.70 % ------
% 11.93/2.70 % Current options:
% 11.93/2.70 % ------
% 11.93/2.70
% 11.93/2.70
% 11.93/2.70 %
% 11.93/2.70
% 11.93/2.70 % ------ Proving...
% 11.93/2.70 %
% 11.93/2.70
% 11.93/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 11.93/2.70
% 11.93/2.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.93/2.70
% 11.93/2.70
%------------------------------------------------------------------------------