TSTP Solution File: LAT044-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT044-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:34:38 EDT 2024
% Result : Unsatisfiable 23.37s 3.63s
% Output : CNFRefutation 23.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility1) ).
cnf(c_50,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility2) ).
cnf(c_51,plain,
join(complement(X0),X0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability1) ).
cnf(c_52,plain,
meet(complement(X0),X0) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability2) ).
cnf(c_53,plain,
complement(complement(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability3) ).
cnf(c_54,plain,
join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',orthomodular_law) ).
cnf(c_55,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
cnf(c_58,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_59,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_60,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_61,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_62,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(c_63,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_78,plain,
join(X0,complement(X0)) = n1,
inference(theory_normalisation,[status(thm)],[c_51,c_62,c_60,c_63,c_61]) ).
cnf(c_79,plain,
meet(X0,complement(X0)) = n0,
inference(theory_normalisation,[status(thm)],[c_52,c_62,c_60,c_63,c_61]) ).
cnf(c_80,negated_conjecture,
join(complement(b),join(meet(a,b),meet(complement(a),join(a,b)))) != n1,
inference(theory_normalisation,[status(thm)],[c_55,c_62,c_60,c_63,c_61]) ).
cnf(c_118,plain,
complement(b) = sP0_iProver_def,
definition ).
cnf(c_119,plain,
meet(a,b) = sP1_iProver_def,
definition ).
cnf(c_120,plain,
complement(a) = sP2_iProver_def,
definition ).
cnf(c_121,plain,
join(a,b) = sP3_iProver_def,
definition ).
cnf(c_122,plain,
meet(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_123,plain,
join(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_124,plain,
join(sP0_iProver_def,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_125,negated_conjecture,
sP6_iProver_def != n1,
inference(demodulation,[status(thm)],[c_80,c_121,c_120,c_122,c_119,c_123,c_118,c_124]) ).
cnf(c_201,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_63,c_61]) ).
cnf(c_202,plain,
meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_62,c_60]) ).
cnf(c_208,plain,
complement(sP0_iProver_def) = b,
inference(superposition,[status(thm)],[c_118,c_53]) ).
cnf(c_229,plain,
meet(X0,n1) = X0,
inference(superposition,[status(thm)],[c_78,c_58]) ).
cnf(c_231,plain,
meet(sP0_iProver_def,sP6_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_124,c_58]) ).
cnf(c_240,plain,
join(sP2_iProver_def,sP4_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_122,c_59]) ).
cnf(c_263,plain,
join(X0,join(X1,complement(X0))) = join(X1,n1),
inference(superposition,[status(thm)],[c_78,c_201]) ).
cnf(c_264,plain,
join(sP1_iProver_def,join(X0,sP4_iProver_def)) = join(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_123,c_201]) ).
cnf(c_290,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_60,c_59]) ).
cnf(c_291,plain,
meet(n1,X0) = X0,
inference(superposition,[status(thm)],[c_60,c_229]) ).
cnf(c_293,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_61,c_58]) ).
cnf(c_303,plain,
complement(join(sP0_iProver_def,X0)) = meet(b,complement(X0)),
inference(superposition,[status(thm)],[c_208,c_49]) ).
cnf(c_304,plain,
complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_305,plain,
complement(join(X0,a)) = meet(complement(X0),sP2_iProver_def),
inference(superposition,[status(thm)],[c_120,c_49]) ).
cnf(c_313,plain,
complement(join(X0,complement(X0))) = n0,
inference(superposition,[status(thm)],[c_49,c_79]) ).
cnf(c_314,plain,
complement(n1) = n0,
inference(light_normalisation,[status(thm)],[c_313,c_78]) ).
cnf(c_321,plain,
complement(join(X0,a)) = meet(sP2_iProver_def,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_305,c_63,c_61,c_62,c_60]) ).
cnf(c_375,plain,
complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_385,plain,
complement(meet(X0,complement(X0))) = n1,
inference(superposition,[status(thm)],[c_50,c_78]) ).
cnf(c_387,plain,
complement(n0) = n1,
inference(light_normalisation,[status(thm)],[c_385,c_79]) ).
cnf(c_483,plain,
join(n1,X0) = n1,
inference(superposition,[status(thm)],[c_291,c_59]) ).
cnf(c_516,plain,
join(X0,n1) = n1,
inference(superposition,[status(thm)],[c_483,c_61]) ).
cnf(c_559,plain,
join(X0,meet(X1,meet(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_202,c_59]) ).
cnf(c_634,plain,
meet(a,meet(b,X0)) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_119,c_62]) ).
cnf(c_710,plain,
join(sP1_iProver_def,join(sP4_iProver_def,X0)) = join(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_123,c_63]) ).
cnf(c_711,plain,
join(sP0_iProver_def,join(sP5_iProver_def,X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_124,c_63]) ).
cnf(c_782,plain,
join(a,meet(complement(a),sP3_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_121,c_54]) ).
cnf(c_785,plain,
join(X0,meet(complement(X0),join(X1,X0))) = join(X1,X0),
inference(superposition,[status(thm)],[c_61,c_54]) ).
cnf(c_829,plain,
join(a,meet(sP3_iProver_def,complement(a))) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_782,c_63,c_61,c_62,c_60]) ).
cnf(c_830,plain,
join(a,meet(sP3_iProver_def,sP2_iProver_def)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_829,c_120]) ).
cnf(c_831,plain,
join(a,meet(sP2_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_830,c_63,c_61,c_62,c_60]) ).
cnf(c_832,plain,
join(a,sP4_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_831,c_122]) ).
cnf(c_833,plain,
join(sP4_iProver_def,a) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_832,c_63,c_61,c_62,c_60]) ).
cnf(c_1012,plain,
join(sP6_iProver_def,sP0_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_231,c_290]) ).
cnf(c_1027,plain,
join(sP0_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1012,c_63,c_61,c_62,c_60]) ).
cnf(c_1100,plain,
meet(b,sP3_iProver_def) = b,
inference(superposition,[status(thm)],[c_121,c_293]) ).
cnf(c_1136,plain,
meet(sP3_iProver_def,b) = b,
inference(theory_normalisation,[status(thm)],[c_1100,c_63,c_61,c_62,c_60]) ).
cnf(c_2442,plain,
join(X0,join(X1,complement(X0))) = n1,
inference(demodulation,[status(thm)],[c_263,c_516]) ).
cnf(c_2448,plain,
join(X0,complement(meet(X1,X0))) = n1,
inference(superposition,[status(thm)],[c_50,c_2442]) ).
cnf(c_3031,plain,
join(sP1_iProver_def,sP2_iProver_def) = join(sP2_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_240,c_264]) ).
cnf(c_3037,plain,
meet(sP1_iProver_def,join(X0,sP5_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_264,c_58]) ).
cnf(c_3136,plain,
meet(sP1_iProver_def,sP6_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_124,c_3037]) ).
cnf(c_3216,plain,
join(sP6_iProver_def,complement(sP1_iProver_def)) = n1,
inference(superposition,[status(thm)],[c_3136,c_2448]) ).
cnf(c_7468,plain,
meet(b,complement(sP5_iProver_def)) = complement(sP6_iProver_def),
inference(superposition,[status(thm)],[c_124,c_303]) ).
cnf(c_7480,plain,
meet(b,complement(sP6_iProver_def)) = complement(sP6_iProver_def),
inference(superposition,[status(thm)],[c_1027,c_303]) ).
cnf(c_7869,plain,
meet(complement(sP6_iProver_def),sP1_iProver_def) = complement(n1),
inference(superposition,[status(thm)],[c_3216,c_304]) ).
cnf(c_7937,plain,
meet(sP1_iProver_def,complement(sP6_iProver_def)) = complement(n1),
inference(theory_normalisation,[status(thm)],[c_7869,c_63,c_61,c_62,c_60]) ).
cnf(c_7938,plain,
meet(sP1_iProver_def,complement(sP6_iProver_def)) = n0,
inference(light_normalisation,[status(thm)],[c_7937,c_314]) ).
cnf(c_14392,plain,
meet(sP2_iProver_def,complement(sP4_iProver_def)) = complement(sP3_iProver_def),
inference(superposition,[status(thm)],[c_833,c_321]) ).
cnf(c_18505,plain,
join(sP3_iProver_def,meet(X0,b)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_1136,c_559]) ).
cnf(c_18953,plain,
join(sP3_iProver_def,meet(b,X0)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_60,c_18505]) ).
cnf(c_19212,plain,
join(sP3_iProver_def,complement(sP6_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_7468,c_18953]) ).
cnf(c_19257,plain,
meet(complement(sP3_iProver_def),sP6_iProver_def) = complement(sP3_iProver_def),
inference(superposition,[status(thm)],[c_19212,c_304]) ).
cnf(c_19273,plain,
meet(sP6_iProver_def,complement(sP3_iProver_def)) = complement(sP3_iProver_def),
inference(theory_normalisation,[status(thm)],[c_19257,c_63,c_61,c_62,c_60]) ).
cnf(c_19371,plain,
meet(a,complement(sP6_iProver_def)) = meet(sP1_iProver_def,complement(sP6_iProver_def)),
inference(superposition,[status(thm)],[c_7480,c_634]) ).
cnf(c_19404,plain,
meet(a,complement(sP6_iProver_def)) = n0,
inference(light_normalisation,[status(thm)],[c_19371,c_7938]) ).
cnf(c_19997,plain,
join(complement(a),sP6_iProver_def) = complement(n0),
inference(superposition,[status(thm)],[c_19404,c_375]) ).
cnf(c_20009,plain,
join(sP6_iProver_def,complement(a)) = complement(n0),
inference(theory_normalisation,[status(thm)],[c_19997,c_63,c_61,c_62,c_60]) ).
cnf(c_20010,plain,
join(sP6_iProver_def,sP2_iProver_def) = n1,
inference(light_normalisation,[status(thm)],[c_20009,c_120,c_387]) ).
cnf(c_20011,plain,
join(sP2_iProver_def,sP6_iProver_def) = n1,
inference(theory_normalisation,[status(thm)],[c_20010,c_63,c_61,c_62,c_60]) ).
cnf(c_20121,plain,
join(sP6_iProver_def,complement(sP3_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_19273,c_59]) ).
cnf(c_26498,plain,
join(sP0_iProver_def,join(X0,sP5_iProver_def)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_61,c_711]) ).
cnf(c_68175,plain,
join(sP4_iProver_def,meet(complement(sP4_iProver_def),sP2_iProver_def)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_240,c_785]) ).
cnf(c_68648,plain,
join(sP4_iProver_def,meet(sP2_iProver_def,complement(sP4_iProver_def))) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_68175,c_63,c_61,c_62,c_60]) ).
cnf(c_68649,plain,
join(sP4_iProver_def,complement(sP3_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_68648,c_14392]) ).
cnf(c_70367,plain,
join(sP0_iProver_def,join(sP1_iProver_def,sP2_iProver_def)) = join(sP6_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_3031,c_26498]) ).
cnf(c_70470,plain,
join(sP0_iProver_def,join(sP1_iProver_def,sP2_iProver_def)) = join(sP2_iProver_def,sP6_iProver_def),
inference(theory_normalisation,[status(thm)],[c_70367,c_63,c_61,c_62,c_60]) ).
cnf(c_70471,plain,
join(sP0_iProver_def,join(sP1_iProver_def,sP2_iProver_def)) = n1,
inference(light_normalisation,[status(thm)],[c_70470,c_20011]) ).
cnf(c_70692,plain,
join(sP5_iProver_def,complement(sP3_iProver_def)) = join(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_68649,c_710]) ).
cnf(c_70891,plain,
join(sP0_iProver_def,join(sP1_iProver_def,sP2_iProver_def)) = join(sP6_iProver_def,complement(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_70692,c_711]) ).
cnf(c_70911,plain,
n1 = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_70891,c_20121,c_70471]) ).
cnf(c_71043,plain,
sP6_iProver_def != sP6_iProver_def,
inference(demodulation,[status(thm)],[c_125,c_70911]) ).
cnf(c_71044,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_71043]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT044-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 18:08:19 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running UEQ theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.37/3.63 % SZS status Started for theBenchmark.p
% 23.37/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 23.37/3.63
% 23.37/3.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.37/3.63
% 23.37/3.63 ------ iProver source info
% 23.37/3.63
% 23.37/3.63 git: date: 2024-05-02 19:28:25 +0000
% 23.37/3.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.37/3.63 git: non_committed_changes: false
% 23.37/3.63
% 23.37/3.63 ------ Parsing...successful
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.37/3.63
% 23.37/3.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.37/3.63
% 23.37/3.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.37/3.63 ------ Proving...
% 23.37/3.63 ------ Problem Properties
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63 clauses 22
% 23.37/3.63 conjectures 1
% 23.37/3.63 EPR 1
% 23.37/3.63 Horn 22
% 23.37/3.63 unary 22
% 23.37/3.63 binary 0
% 23.37/3.63 lits 22
% 23.37/3.63 lits eq 22
% 23.37/3.63 fd_pure 0
% 23.37/3.63 fd_pseudo 0
% 23.37/3.63 fd_cond 0
% 23.37/3.63 fd_pseudo_cond 0
% 23.37/3.63 AC symbols 2
% 23.37/3.63
% 23.37/3.63 ------ Input Options Time Limit: Unbounded
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63 ------
% 23.37/3.63 Current options:
% 23.37/3.63 ------
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63 ------ Proving...
% 23.37/3.63
% 23.37/3.63
% 23.37/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 23.37/3.63
% 23.37/3.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.37/3.63
% 23.37/3.64
%------------------------------------------------------------------------------