%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT044-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 : Tue May 5 04:37:25 PM UTC 2026
% Result : Unsatisfiable 216.36s 110.10s
% Output : CNFRefutation 217.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of clauses : 267 ( 260 unt; 0 nHn; 15 RR)
% Number of literals : 275 ( 274 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 380 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_weak_orthomodular_law,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) ).
cnf(orthomodular_law,axiom,
join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',orthomodular_law) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(compatibility1,axiom,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility1) ).
cnf(compatibility2,axiom,
complement(meet(X1,X2)) = join(complement(X1),complement(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility2) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(invertability1,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
cnf(invertability2,axiom,
meet(complement(X1),X1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability2) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(invertability3,axiom,
complement(complement(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).
cnf(i_0_15,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
prove_weak_orthomodular_law,
[final] ).
cnf(i_0_16,axiom,
join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2),
orthomodular_law,
[final] ).
cnf(i_0_17,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join,
[final] ).
cnf(i_0_18,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet,
[final] ).
cnf(i_0_19,axiom,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
compatibility1,
[final] ).
cnf(i_0_20,axiom,
complement(meet(X1,X2)) = join(complement(X1),complement(X2)),
compatibility2,
[final] ).
cnf(i_0_21,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2,
[final] ).
cnf(i_0_22,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1,
[final] ).
cnf(i_0_23,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join,
[final] ).
cnf(i_0_24,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet,
[final] ).
cnf(i_0_25,axiom,
join(complement(X1),X1) = n1,
invertability1,
[final] ).
cnf(i_0_26,axiom,
meet(complement(X1),X1) = n0,
invertability2,
[final] ).
cnf(i_0_27,axiom,
join(X1,X1) = X1,
idempotence_of_join,
[final] ).
cnf(i_0_28,axiom,
meet(X1,X1) = X1,
idempotence_of_meet,
[final] ).
cnf(i_0_29,axiom,
complement(complement(X1)) = X1,
invertability3,
[final] ).
cnf(i_0_30,axiom,
X1 = X1 ).
cnf(i_0_31,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_32,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_33,axiom,
( X1 != X2
| join(X1,X3) = join(X2,X3) ) ).
cnf(i_0_34,axiom,
( X1 != X2
| join(X3,X1) = join(X3,X2) ) ).
cnf(i_0_35,axiom,
( X1 != X2
| meet(X1,X3) = meet(X2,X3) ) ).
cnf(i_0_36,axiom,
( X1 != X2
| meet(X3,X1) = meet(X3,X2) ) ).
cnf(i_0_37,axiom,
( X1 != X2
| complement(X1) = complement(X2) ) ).
cnf(i_0_38,plain,
X1 = join(X1,X1),
inference(scs_inference,[],[i_0_27,i_0_31]) ).
cnf(i_0_39,plain,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != join(n1,n1),
inference(scs_inference,[],[i_0_15,i_0_27,i_0_31,i_0_32]) ).
cnf(i_0_40,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_41,plain,
X1 = meet(X1,X1),
inference(scs_inference,[],[i_0_28,i_0_31]) ).
cnf(i_0_42,plain,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != meet(n1,n1),
inference(scs_inference,[],[i_0_15,i_0_28,i_0_31,i_0_32]) ).
cnf(i_0_43,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_44,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(scs_inference,[],[i_0_17,i_0_31]) ).
cnf(i_0_46,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_54,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_61,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_62,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(scs_inference,[],[i_0_19,i_0_31]) ).
cnf(i_0_63,plain,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != meet(n1,join(n1,X1)),
inference(scs_inference,[],[i_0_15,i_0_19,i_0_22,i_0_31,i_0_32]) ).
cnf(i_0_64,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_65,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(scs_inference,[],[i_0_20,i_0_31]) ).
cnf(i_0_66,plain,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != complement(complement(n1)),
inference(scs_inference,[],[i_0_15,i_0_20,i_0_29,i_0_31,i_0_32]) ).
cnf(i_0_67,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_68,plain,
n1 = join(complement(X1),X1),
inference(scs_inference,[],[i_0_25,i_0_31]) ).
cnf(i_0_69,plain,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != join(complement(X1),X1),
inference(scs_inference,[],[i_0_15,i_0_25,i_0_31,i_0_32]) ).
cnf(i_0_70,plain,
n0 = meet(complement(X1),X1),
inference(scs_inference,[],[i_0_26,i_0_31]) ).
cnf(i_0_74,plain,
join(X1,X2) = join(X1,meet(complement(X1),join(X1,X2))),
inference(scs_inference,[],[i_0_16,i_0_31]) ).
cnf(i_0_75,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(scs_inference,[],[i_0_18,i_0_31]) ).
cnf(i_0_76,plain,
X1 = join(X1,meet(X1,X2)),
inference(scs_inference,[],[i_0_21,i_0_31]) ).
cnf(i_0_77,plain,
X1 = meet(X1,join(X1,X2)),
inference(scs_inference,[],[i_0_22,i_0_31]) ).
cnf(i_0_78,plain,
X1 = complement(complement(X1)),
inference(scs_inference,[],[i_0_29,i_0_31]) ).
cnf(i_0_83,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_86,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_90,plain,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_92,plain,
complement(join(complement(X1),X1)) = n0,
inference(scs_inference,[],[i_0_19,i_0_26,i_0_32]) ).
cnf(i_0_93,plain,
meet(complement(X1),X1) = n0,
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_94,plain,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_95,plain,
n0 = complement(join(complement(X1),X1)),
inference(scs_inference,[],[i_0_19,i_0_26,i_0_32,i_0_31]) ).
cnf(i_0_100,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_103,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_109,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_112,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_118,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_121,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_128,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_132,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_136,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_139,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_142,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_152,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_155,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_159,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_166,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_169,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_173,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_177,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_180,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_184,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_188,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_192,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_196,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_199,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_203,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_207,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_211,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_215,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_219,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_222,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_227,plain,
meet(X1,complement(X1)) = n0,
inference(scs_inference,[],[i_0_24,i_0_26,i_0_32]) ).
cnf(i_0_228,plain,
meet(complement(X1),X1) = n0,
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_229,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_230,plain,
n0 = meet(X1,complement(X1)),
inference(scs_inference,[],[i_0_24,i_0_26,i_0_32,i_0_31]) ).
cnf(i_0_231,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_32]) ).
cnf(i_0_232,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_233,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_234,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(scs_inference,[],[i_0_24,i_0_18,i_0_32,i_0_31]) ).
cnf(i_0_244,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_247,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_250,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_253,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_256,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_259,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_262,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_265,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_268,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_271,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_274,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_277,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_280,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_283,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_286,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_289,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_292,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_295,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_298,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_301,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_304,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_307,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_310,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_313,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_316,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_319,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_322,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_325,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_328,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_331,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_334,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_337,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_340,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_343,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_346,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_349,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_352,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_355,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_358,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_361,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_364,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_367,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_370,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_373,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_376,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_379,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_382,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_385,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_391,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_393,plain,
join(complement(join(X1,X2)),complement(join(X1,X2))) = meet(complement(X1),complement(X2)),
inference(scs_inference,[],[i_0_27,i_0_19,i_0_32]) ).
cnf(i_0_394,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_395,plain,
meet(complement(X1),complement(X2)) = join(complement(join(X1,X2)),complement(join(X1,X2))),
inference(scs_inference,[],[i_0_27,i_0_19,i_0_32,i_0_31]) ).
cnf(i_0_396,plain,
join(meet(meet(X1,X2),X3),meet(meet(X1,X2),X3)) = meet(X1,meet(X2,X3)),
inference(scs_inference,[],[i_0_27,i_0_18,i_0_32]) ).
cnf(i_0_397,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_398,plain,
meet(X1,meet(X2,X3)) = join(meet(meet(X1,X2),X3),meet(meet(X1,X2),X3)),
inference(scs_inference,[],[i_0_27,i_0_18,i_0_32,i_0_31]) ).
cnf(i_0_399,plain,
join(meet(complement(X1),X1),meet(complement(X1),X1)) = n0,
inference(scs_inference,[],[i_0_27,i_0_26,i_0_32]) ).
cnf(i_0_400,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_401,plain,
n0 = join(meet(complement(X1),X1),meet(complement(X1),X1)),
inference(scs_inference,[],[i_0_27,i_0_26,i_0_32,i_0_31]) ).
cnf(i_0_403,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_406,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_409,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_412,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_415,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_418,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_421,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_424,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_427,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_430,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_433,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_436,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_439,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_442,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_445,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_448,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_451,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_454,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_457,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_460,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_463,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_466,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_469,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_472,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_475,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_478,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_481,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_484,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_487,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_490,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_493,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_496,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_499,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_502,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_505,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_508,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_511,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_514,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_517,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_520,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_523,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_526,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_529,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_532,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_535,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_538,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_541,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_544,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_547,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_550,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_553,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_556,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_559,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_562,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_565,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_568,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_571,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_574,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_577,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_580,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_582,plain,
meet(complement(join(X1,X2)),complement(join(X1,X2))) = meet(complement(X1),complement(X2)),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_32]) ).
cnf(i_0_583,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_584,plain,
meet(complement(X1),complement(X2)) = meet(complement(join(X1,X2)),complement(join(X1,X2))),
inference(scs_inference,[],[i_0_28,i_0_19,i_0_32,i_0_31]) ).
cnf(i_0_585,plain,
meet(meet(meet(X1,X2),X3),meet(meet(X1,X2),X3)) = meet(X1,meet(X2,X3)),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_32]) ).
cnf(i_0_586,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_587,plain,
meet(X1,meet(X2,X3)) = meet(meet(meet(X1,X2),X3),meet(meet(X1,X2),X3)),
inference(scs_inference,[],[i_0_28,i_0_18,i_0_32,i_0_31]) ).
cnf(i_0_588,plain,
meet(meet(complement(X1),X1),meet(complement(X1),X1)) = n0,
inference(scs_inference,[],[i_0_28,i_0_26,i_0_32]) ).
cnf(i_0_589,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_590,plain,
n0 = meet(meet(complement(X1),X1),meet(complement(X1),X1)),
inference(scs_inference,[],[i_0_28,i_0_26,i_0_32,i_0_31]) ).
cnf(i_0_592,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_595,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_598,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_601,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_604,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_607,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_610,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_613,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_616,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_619,plain,
complement(complement(X1)) = X1,
inference(rename_variables,[],[i_0_29]) ).
cnf(c_0_89,plain,
X1 = join(X1,meet(X1,X2)),
i_0_76 ).
cnf(c_0_90,axiom,
meet(X1,X2) = meet(X2,X1),
i_0_24 ).
cnf(c_0_91,plain,
join(X1,X2) = join(X1,meet(complement(X1),join(X1,X2))),
i_0_74 ).
cnf(c_0_92,axiom,
join(X1,X2) = join(X2,X1),
i_0_23 ).
cnf(c_0_93,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
i_0_44 ).
cnf(c_0_94,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
join(X1,meet(complement(X1),join(X2,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
i_0_15 ).
cnf(c_0_97,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_89]),c_0_90]) ).
cnf(c_0_99,negated_conjecture,
join(meet(complement(a),join(a,b)),join(meet(a,b),complement(b))) != n1,
inference(rw,[status(thm)],[c_0_96,c_0_92]) ).
cnf(c_0_100,plain,
join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,axiom,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
i_0_19 ).
cnf(c_0_102,plain,
X1 = complement(complement(X1)),
i_0_78 ).
cnf(c_0_103,axiom,
complement(meet(X1,X2)) = join(complement(X1),complement(X2)),
i_0_20 ).
cnf(c_0_104,negated_conjecture,
join(meet(join(a,b),complement(a)),join(meet(a,b),complement(b))) != n1,
inference(rw,[status(thm)],[c_0_99,c_0_90]) ).
cnf(c_0_105,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_106,plain,
join(complement(X1),meet(complement(X2),join(X2,X1))) = complement(meet(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]) ).
cnf(c_0_107,plain,
n1 = join(complement(X1),X1),
i_0_68 ).
cnf(c_0_108,negated_conjecture,
join(meet(a,b),join(complement(b),meet(join(a,b),complement(a)))) != n1,
inference(rw,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
join(complement(X1),meet(join(X2,X1),complement(X2))) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_106,c_0_90]) ).
cnf(c_0_110,plain,
join(X1,complement(X1)) = n1,
inference(rw,[status(thm)],[c_0_107,c_0_92]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_90]),c_0_110])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT044-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n016.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:48:36 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 216.36/110.10 % Version : CSE_E---1.7
% 216.36/110.10 % Problem : theBenchmark.p
% 216.36/110.10 % SZS status Unsatisfiable for theBenchmark.p
% 216.36/110.10 % SZS output start CNFRefutation
% See solution above
% 217.64/111.35 % Total time : 108.850s
%------------------------------------------------------------------------------