%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:58:10 PM UTC 2026
% Result : Unsatisfiable 25.69s 5.26s
% Output : CNFRefutation 25.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 88 unt; 7 def)
% Number of atoms : 200 ( 87 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 6 ( 6 ~; 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 : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?; 44 :)
% 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,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility1) ).
fof(f10,axiom,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility2) ).
fof(f11,axiom,
! [X0] : join(complement(X0),X0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
fof(f12,axiom,
! [X0] : meet(complement(X0),X0) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability2) ).
fof(f13,axiom,
! [X0] : complement(complement(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).
fof(f14,axiom,
! [X0,X1] : join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',orthomodular_law) ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
fof(f17,plain,
n1 != join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))),
inference(reorient_equations,[],[f16]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_74,plain,
! [X0: $i] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[],[f11]) ).
tcf(c_75,plain,
! [X0: $i] : meet(complement(X0),X0) = n0,
inference(cnf_transformation,[],[f12]) ).
tcf(c_76,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(cnf_transformation,[],[f13]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
inference(cnf_transformation,[],[f15]) ).
tcf(c_78,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,plain,
! [X0: $i] : join(X0,complement(X0)) = n1,
inference(theory_normalisation,[status(thm)],[c_74,c_70,c_68,c_71,c_69]) ).
tcf(c_94,plain,
! [X0: $i] : meet(X0,complement(X0)) = n0,
inference(theory_normalisation,[status(thm)],[c_75,c_70,c_68,c_71,c_69]) ).
tcf(c_95,negated_conjecture,
join(complement(b),join(meet(a,b),meet(complement(a),join(a,b)))) != n1,
inference(theory_normalisation,[status(thm)],[c_78,c_70,c_68,c_71,c_69]) ).
tcf(c_133,definition,
iPr_def_10 = complement(b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_134,definition,
iPr_def_11 = meet(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_135,definition,
iPr_def_12 = complement(a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_136,definition,
iPr_def_13 = join(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_137,definition,
iPr_def_14 = meet(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_138,definition,
iPr_def_15 = join(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_139,definition,
iPr_def_16 = join(iPr_def_10,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_140,negated_conjecture,
iPr_def_16 != n1,
inference(demodulation,[status(thm)],[c_95,c_136,c_135,c_137,c_134,c_138,c_133,c_139]) ).
tcf(c_224,plain,
complement(iPr_def_12) = a,
inference(superposition,[status(thm)],[c_135,c_76]) ).
tcf(c_225,plain,
complement(iPr_def_10) = b,
inference(superposition,[status(thm)],[c_133,c_76]) ).
tcf(c_227,plain,
complement(a) = iPr_def_12,
inference(superposition,[status(thm)],[c_224,c_76]) ).
tcf(c_229,plain,
complement(b) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_76]) ).
tcf(c_243,plain,
meet(iPr_def_10,iPr_def_16) = iPr_def_10,
inference(superposition,[status(thm)],[c_139,c_66]) ).
tcf(c_255,plain,
join(iPr_def_12,iPr_def_14) = iPr_def_12,
inference(superposition,[status(thm)],[c_137,c_67]) ).
tcf(c_289,plain,
! [X0: $i] : meet(X0,n1) = X0,
inference(superposition,[status(thm)],[c_93,c_66]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_68,c_67]) ).
tcf(c_350,plain,
! [X0: $i] : join(X0,n0) = X0,
inference(superposition,[status(thm)],[c_94,c_67]) ).
tcf(c_480,plain,
! [X0: $i] : meet(a,meet(b,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_134,c_70]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_70,c_299]) ).
tcf(c_724,plain,
! [X0: $i] : join(a,join(b,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_136,c_71]) ).
tcf(c_729,plain,
! [X0: $i] : join(iPr_def_11,join(iPr_def_14,X0)) = join(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_138,c_71]) ).
tcf(c_730,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_15,X0)) = join(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_139,c_71]) ).
tcf(c_870,plain,
! [X0: $i] : complement(join(a,X0)) = meet(iPr_def_12,complement(X0)),
inference(superposition,[status(thm)],[c_227,c_72]) ).
tcf(c_879,plain,
! [X0: $i] : complement(join(X0,a)) = meet(complement(X0),iPr_def_12),
inference(superposition,[status(thm)],[c_227,c_72]) ).
tcf(c_900,plain,
! [X0: $i] : complement(join(X0,a)) = meet(iPr_def_12,complement(X0)),
inference(demodulation,[status(thm)],[c_879,c_68]) ).
tcf(c_1107,plain,
! [X0: $i] : join(iPr_def_12,complement(X0)) = complement(meet(a,X0)),
inference(superposition,[status(thm)],[c_227,c_73]) ).
tcf(c_1441,plain,
join(a,meet(complement(a),iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_136,c_77]) ).
tcf(c_1444,plain,
! [X0: $i,X1: $i] : join(X0,meet(complement(X0),join(X1,X0))) = join(X1,X0),
inference(superposition,[status(thm)],[c_69,c_77]) ).
tcf(c_1494,plain,
join(a,meet(iPr_def_13,complement(a))) = iPr_def_13,
inference(demodulation,[status(thm)],[c_1441,c_68]) ).
tcf(c_1495,plain,
join(a,meet(iPr_def_13,iPr_def_12)) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_1494,c_227]) ).
tcf(c_1496,plain,
join(a,meet(iPr_def_12,iPr_def_13)) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_1495,c_71,c_69,c_70,c_68]) ).
tcf(c_1672,plain,
join(a,iPr_def_14) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_1496,c_137]) ).
tcf(c_1673,plain,
join(iPr_def_14,a) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_1672,c_71,c_69,c_70,c_68]) ).
tcf(c_3110,plain,
meet(a,b) = meet(iPr_def_11,n1),
inference(superposition,[status(thm)],[c_289,c_480]) ).
tcf(c_3120,plain,
meet(a,b) = iPr_def_11,
inference(demodulation,[status(thm)],[c_3110,c_289]) ).
tcf(c_12809,plain,
! [X0: $i] : join(iPr_def_16,meet(X0,iPr_def_10)) = iPr_def_16,
inference(superposition,[status(thm)],[c_243,c_552]) ).
tcf(c_13538,plain,
! [X0: $i] : join(iPr_def_16,meet(iPr_def_10,X0)) = iPr_def_16,
inference(superposition,[status(thm)],[c_68,c_12809]) ).
tcf(c_17061,plain,
join(a,b) = join(iPr_def_13,n0),
inference(superposition,[status(thm)],[c_350,c_724]) ).
tcf(c_17093,plain,
join(a,b) = iPr_def_13,
inference(demodulation,[status(thm)],[c_17061,c_350]) ).
tcf(c_29507,plain,
meet(iPr_def_12,complement(b)) = complement(iPr_def_13),
inference(superposition,[status(thm)],[c_17093,c_870]) ).
tcf(c_29565,plain,
meet(iPr_def_12,iPr_def_10) = complement(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_29507,c_229]) ).
tcf(c_29566,plain,
meet(iPr_def_10,iPr_def_12) = complement(iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_29565,c_71,c_69,c_70,c_68]) ).
tcf(c_29833,plain,
join(iPr_def_16,complement(iPr_def_13)) = iPr_def_16,
inference(superposition,[status(thm)],[c_29566,c_13538]) ).
tcf(c_38193,plain,
meet(iPr_def_12,complement(iPr_def_14)) = complement(iPr_def_13),
inference(superposition,[status(thm)],[c_1673,c_900]) ).
tcf(c_39167,plain,
join(iPr_def_12,complement(b)) = complement(iPr_def_11),
inference(superposition,[status(thm)],[c_3120,c_1107]) ).
tcf(c_39245,plain,
join(iPr_def_12,iPr_def_10) = complement(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_39167,c_229]) ).
tcf(c_39246,plain,
join(iPr_def_10,iPr_def_12) = complement(iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_39245,c_71,c_69,c_70,c_68]) ).
tcf(c_52417,plain,
join(iPr_def_14,meet(complement(iPr_def_14),iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_255,c_1444]) ).
tcf(c_52790,plain,
join(iPr_def_14,meet(iPr_def_12,complement(iPr_def_14))) = iPr_def_12,
inference(demodulation,[status(thm)],[c_52417,c_68]) ).
tcf(c_52791,plain,
join(iPr_def_14,complement(iPr_def_13)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_52790,c_38193]) ).
tcf(c_54044,plain,
join(iPr_def_15,complement(iPr_def_13)) = join(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_52791,c_729]) ).
tcf(c_55962,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_12)) = join(iPr_def_16,complement(iPr_def_13)),
inference(superposition,[status(thm)],[c_54044,c_730]) ).
tcf(c_55979,plain,
join(iPr_def_10,join(iPr_def_11,iPr_def_12)) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_55962,c_29833]) ).
tcf(c_55980,plain,
join(iPr_def_11,complement(iPr_def_11)) = iPr_def_16,
inference(ac_demodulation,[status(thm)],[c_55979,c_39246,c_71,c_69,c_70,c_68]) ).
tcf(c_55981,plain,
n1 = iPr_def_16,
inference(ac_demodulation,[status(thm)],[c_55980,c_93,c_71,c_69,c_70,c_68]) ).
tcf(c_56101,plain,
iPr_def_16 != iPr_def_16,
inference(demodulation,[status(thm)],[c_140,c_55981]) ).
tcf(c_56102,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_56101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n008.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 20:06:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running UEQ theorem proving
% 0.11/0.40 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
% 0.11/0.43 % Proving...
% 25.69/5.26 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 25.69/5.26 % SZS status Started for theBenchmark.p
% 25.69/5.26 % SZS status Unsatisfiable for theBenchmark.p
% 25.69/5.26
% 25.69/5.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.69/5.26
% 25.69/5.26 % ------ iProver source info
% 25.69/5.26
% 25.69/5.26 % git: date: 2026-07-19 20:42:38 +0200
% 25.69/5.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.69/5.26 % git: non_committed_changes: false
% 25.69/5.26
% 25.69/5.26 % ------ Parsing...% successful
% 25.69/5.26
% 25.69/5.26
% 25.69/5.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.69/5.26
% 25.69/5.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 25.69/5.26
% 25.69/5.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.69/5.26
% 25.69/5.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 25.69/5.26 % ------ Proving...
% 25.69/5.26 % ------ Problem Properties
% 25.69/5.26
% 25.69/5.26 %
% 25.69/5.26 % clauses 22
% 25.69/5.26 % conjectures 1
% 25.69/5.26 % EPR 1
% 25.69/5.26 % Horn 22
% 25.69/5.26 % unary 22
% 25.69/5.26 % binary 0
% 25.69/5.26 % lits 22
% 25.69/5.26 % lits eq 22
% 25.69/5.26 % fd_pure 0
% 25.69/5.26 % fd_pseudo 0
% 25.69/5.26 % fd_cond 0
% 25.69/5.26 % fd_pseudo_cond 0
% 25.69/5.26 % AC symbols 2
% 25.69/5.26
% 25.69/5.26 % ------ Input Options Time Limit: Unbounded
% 25.69/5.26
% 25.69/5.26
% 25.69/5.26 % ------
% 25.69/5.26 % Current options:
% 25.69/5.26 % ------
% 25.69/5.26
% 25.69/5.26
% 25.69/5.26 %
% 25.69/5.26
% 25.69/5.26 % ------ Proving...
% 25.69/5.26 %
% 25.69/5.26
% 25.69/5.26 % SZS status Unsatisfiable for theBenchmark.p
% 25.69/5.26
% 25.69/5.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.69/5.26
% 25.69/5.26
%------------------------------------------------------------------------------