%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT400-4 : TPTP v9.2.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 04:38:28 PM UTC 2026
% Result : Unsatisfiable 98.86s 66.59s
% Output : CNFRefutation 100.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_14)
% Comments :
%------------------------------------------------------------------------------
cnf(rh1,axiom,
join(upme(meet(a,X1),X2,X3),meet(X2,X3)) = meet(join(meet(meet(a,X1),X2),X3),join(meet(meet(a,X1),X3),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rh1) ).
cnf(definition_of_upme,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upme) ).
cnf(rl1,axiom,
lome(X1,X2,X3) = upme(X1,upme(X2,X1,X3),upme(X3,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rl1) ).
cnf(definition_of_lome,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lome) ).
cnf(rh2,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rh2) ).
cnf(conjecture_1,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
cnf(conjecture,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
cnf(associativity_002,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_002) ).
cnf(associativity,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
cnf(absorption,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(absorption_003,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_003) ).
cnf(commutativity_001,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_001) ).
cnf(commutativity,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity) ).
cnf(i_0_13,axiom,
join(upme(meet(a,X1),X2,X3),meet(X2,X3)) = meet(join(meet(meet(a,X1),X2),X3),join(meet(meet(a,X1),X3),X2)),
rh1 ).
cnf(i_0_14,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
definition_of_upme ).
cnf(i_0_15,axiom,
lome(X1,X2,X3) = upme(X1,upme(X2,X1,X3),upme(X3,X1,X2)),
rl1 ).
cnf(i_0_16,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
definition_of_lome ).
cnf(i_0_17,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
rh2 ).
cnf(i_0_18,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
conjecture_1 ).
cnf(i_0_19,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
conjecture ).
cnf(i_0_20,plain,
join(meet(meet(a,X1),join(X2,X3)),meet(X2,X3)) = meet(join(meet(meet(a,X1),X2),X3),join(meet(meet(a,X1),X3),X2)),
inference(rw,[status(thm)],[i_0_13,c_0_14]),
[final] ).
cnf(i_0_21,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_15,c_0_14]),c_0_14]),c_0_14]),c_0_16]),
[final] ).
cnf(i_0_22,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_17,c_0_14]),c_0_14]),c_0_14]),
[final] ).
cnf(i_0_23,negated_conjecture,
join(meet(x2,y2),meet(x2,z2)) != meet(x2,join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_18,c_0_14]),c_0_16]),
[final] ).
cnf(i_0_24,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
associativity_002,
[final] ).
cnf(i_0_25,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
associativity,
[final] ).
cnf(i_0_26,negated_conjecture,
meet(a,join(x2,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_19,c_0_14]),c_0_14]),
[final] ).
cnf(i_0_27,axiom,
join(X1,meet(X1,X2)) = X1,
absorption,
[final] ).
cnf(i_0_28,axiom,
meet(X1,join(X1,X2)) = X1,
absorption_003,
[final] ).
cnf(i_0_29,axiom,
join(X1,X2) = join(X2,X1),
commutativity_001,
[final] ).
cnf(i_0_30,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity,
[final] ).
cnf(i_0_31,axiom,
X1 = X1 ).
cnf(i_0_32,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_33,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_34,axiom,
( X1 != X2
| join(X1,X3) = join(X2,X3) ) ).
cnf(i_0_35,axiom,
( X1 != X2
| join(X3,X1) = join(X3,X2) ) ).
cnf(i_0_36,axiom,
( X1 != X2
| meet(X1,X3) = meet(X2,X3) ) ).
cnf(i_0_37,axiom,
( X1 != X2
| meet(X3,X1) = meet(X3,X2) ) ).
cnf(i_0_38,plain,
meet(a,join(X1,y2)) = meet(a,join(X1,z2)),
inference(scs_inference,[],[i_0_26,i_0_32]) ).
cnf(i_0_39,plain,
meet(join(X1,z2),a) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_26,i_0_30,i_0_32,i_0_33]) ).
cnf(i_0_40,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_43,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_46,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_53,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_56,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_59,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_63,plain,
meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X1,X3)),
inference(scs_inference,[],[i_0_21,i_0_32]) ).
cnf(i_0_65,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_68,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_69,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_22,i_0_32]) ).
cnf(i_0_71,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_72,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_24,i_0_32]) ).
cnf(i_0_83,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_84,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(scs_inference,[],[i_0_25,i_0_32]) ).
cnf(i_0_86,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_87,plain,
X1 = join(X1,meet(X1,X2)),
inference(scs_inference,[],[i_0_27,i_0_32]) ).
cnf(i_0_88,plain,
join(meet(X1,y2),meet(X1,z2)) != meet(join(y2,z2),X1),
inference(scs_inference,[],[i_0_23,i_0_30,i_0_27,i_0_32,i_0_33]) ).
cnf(i_0_89,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_90,plain,
X1 = meet(X1,join(X1,X2)),
inference(scs_inference,[],[i_0_28,i_0_32]) ).
cnf(i_0_96,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_102,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_105,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_111,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_119,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_126,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_129,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_131,plain,
join(meet(a,join(X1,z2)),meet(meet(a,join(X1,z2)),X2)) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_27,i_0_26,i_0_33]) ).
cnf(i_0_132,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_133,plain,
meet(a,join(X1,y2)) = join(meet(a,join(X1,z2)),meet(meet(a,join(X1,z2)),X2)),
inference(scs_inference,[],[i_0_27,i_0_26,i_0_33,i_0_32]) ).
cnf(i_0_135,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_137,plain,
join(join(X1,join(X2,X3)),meet(join(X1,join(X2,X3)),X4)) = join(join(X1,X2),X3),
inference(scs_inference,[],[i_0_27,i_0_24,i_0_33]) ).
cnf(i_0_138,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_139,plain,
join(join(X1,X2),X3) = join(join(X1,join(X2,X3)),meet(join(X1,join(X2,X3)),X4)),
inference(scs_inference,[],[i_0_27,i_0_24,i_0_33,i_0_32]) ).
cnf(i_0_141,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_144,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_147,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_149,plain,
meet(meet(a,join(X1,z2)),join(meet(a,join(X1,z2)),X2)) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_28,i_0_26,i_0_33]) ).
cnf(i_0_150,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_151,plain,
meet(a,join(X1,y2)) = meet(meet(a,join(X1,z2)),join(meet(a,join(X1,z2)),X2)),
inference(scs_inference,[],[i_0_28,i_0_26,i_0_33,i_0_32]) ).
cnf(i_0_153,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_156,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_160,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_164,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_168,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_176,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_179,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_183,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_187,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_194,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_198,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_205,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_208,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_212,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_216,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_219,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_223,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_226,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_242,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_246,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_250,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_254,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_258,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_263,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_266,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_279,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_284,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X3,join(X1,X2)),meet(X2,join(X1,X3)))),
inference(scs_inference,[],[i_0_29,i_0_21,i_0_33]) ).
cnf(i_0_285,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_286,plain,
meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X1,X2)))) = join(meet(X1,X3),meet(X1,X2)),
inference(scs_inference,[],[i_0_29,i_0_21,i_0_33,i_0_32]) ).
cnf(i_0_288,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_292,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_295,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_298,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_301,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_304,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_307,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_310,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_313,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_316,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_319,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_322,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_325,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_328,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_335,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_338,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_382,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_385,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_388,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_391,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_394,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_650,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_660,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_913,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1001,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1081,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1225,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1351,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1590,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X1,X2)))),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_1616,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_41,plain,
meet(a,join(X1,y2)) = meet(join(X1,z2),a),
inference(scs_inference,[],[i_0_39,i_0_32]) ).
cnf(i_0_42,plain,
join(meet(join(X1,z2),a),meet(meet(join(X1,z2),a),X2)) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_39,i_0_27,i_0_32,i_0_33]) ).
cnf(i_0_67,plain,
join(meet(X1,y2),meet(X1,z2)) != meet(meet(X1,join(y2,z2)),join(meet(X1,join(y2,z2)),X2)),
inference(scs_inference,[],[i_0_23,i_0_64,i_0_28,i_0_32,i_0_33]) ).
cnf(i_0_73,plain,
join(meet(a,join(X1,meet(a,y2))),meet(a,join(y2,meet(a,X1)))) = meet(a,join(X1,z2)),
inference(scs_inference,[],[i_0_38,i_0_69,i_0_24,i_0_32,i_0_33]) ).
cnf(i_0_74,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_77,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_80,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_91,plain,
join(X1,X2) = join(X1,join(X2,meet(join(X1,X2),X3))),
inference(scs_inference,[],[i_0_72,i_0_87,i_0_28,i_0_32,i_0_33]) ).
cnf(i_0_92,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_93,plain,
X1 = join(X1,meet(X1,X2)),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_98,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_125,plain,
join(meet(a,join(X1,y2)),meet(meet(a,join(X1,y2)),X2)) = meet(a,join(X1,z2)),
inference(scs_inference,[],[i_0_27,i_0_38,i_0_33]) ).
cnf(i_0_127,plain,
meet(a,join(X1,z2)) = join(meet(a,join(X1,y2)),meet(meet(a,join(X1,y2)),X2)),
inference(scs_inference,[],[i_0_27,i_0_38,i_0_33,i_0_32]) ).
cnf(i_0_140,plain,
meet(join(join(X1,X2),X3),join(join(join(X1,X2),X3),X4)) = join(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_28,i_0_72,i_0_33]) ).
cnf(i_0_142,plain,
join(X1,join(X2,X3)) = meet(join(join(X1,X2),X3),join(join(join(X1,X2),X3),X4)),
inference(scs_inference,[],[i_0_28,i_0_72,i_0_33,i_0_32]) ).
cnf(i_0_143,plain,
meet(meet(a,join(X1,y2)),join(meet(a,join(X1,y2)),X2)) = meet(a,join(X1,z2)),
inference(scs_inference,[],[i_0_28,i_0_38,i_0_33]) ).
cnf(i_0_145,plain,
meet(a,join(X1,z2)) = meet(meet(a,join(X1,y2)),join(meet(a,join(X1,y2)),X2)),
inference(scs_inference,[],[i_0_28,i_0_38,i_0_33,i_0_32]) ).
cnf(i_0_155,plain,
meet(meet(join(X1,z2),a),join(meet(join(X1,z2),a),X2)) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_28,i_0_39,i_0_33]) ).
cnf(i_0_157,plain,
meet(a,join(X1,y2)) = meet(meet(join(X1,z2),a),join(meet(join(X1,z2),a),X2)),
inference(scs_inference,[],[i_0_28,i_0_39,i_0_33,i_0_32]) ).
cnf(i_0_172,plain,
X1 = meet(X1,join(X1,X2)),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_174,plain,
join(X1,join(X2,X3)) = join(join(X2,join(X3,X1)),meet(join(X2,join(X3,X1)),X4)),
inference(scs_inference,[],[i_0_29,i_0_139,i_0_33]) ).
cnf(i_0_175,plain,
join(join(X1,X2),X3) = join(join(X1,join(X2,X3)),meet(join(X1,join(X2,X3)),X4)),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_177,plain,
join(join(X1,join(X2,X3)),meet(join(X1,join(X2,X3)),X4)) = join(X3,join(X1,X2)),
inference(scs_inference,[],[i_0_29,i_0_139,i_0_33,i_0_32]) ).
cnf(i_0_191,plain,
X1 = meet(X1,join(X1,X2)),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_238,plain,
X1 = meet(X1,join(X1,X2)),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_262,plain,
join(meet(meet(a,join(X1,z2)),X2),meet(a,join(X1,z2))) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_29,i_0_131,i_0_33]) ).
cnf(i_0_264,plain,
meet(a,join(X1,y2)) = join(meet(meet(a,join(X1,z2)),X2),meet(a,join(X1,z2))),
inference(scs_inference,[],[i_0_29,i_0_131,i_0_33,i_0_32]) ).
cnf(i_0_297,plain,
meet(join(X1,y2),a) = join(meet(a,join(X1,z2)),meet(meet(a,join(X1,z2)),X2)),
inference(scs_inference,[],[i_0_30,i_0_133,i_0_33]) ).
cnf(i_0_299,plain,
join(meet(a,join(X1,z2)),meet(meet(a,join(X1,z2)),X2)) = meet(join(X1,y2),a),
inference(scs_inference,[],[i_0_30,i_0_133,i_0_33,i_0_32]) ).
cnf(i_0_300,plain,
meet(join(X1,y2),a) = meet(meet(a,join(X1,z2)),join(meet(a,join(X1,z2)),X2)),
inference(scs_inference,[],[i_0_30,i_0_151,i_0_33]) ).
cnf(i_0_302,plain,
meet(meet(a,join(X1,z2)),join(meet(a,join(X1,z2)),X2)) = meet(join(X1,y2),a),
inference(scs_inference,[],[i_0_30,i_0_151,i_0_33,i_0_32]) ).
cnf(i_0_331,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_334,plain,
meet(join(X1,y2),a) = meet(a,join(X1,z2)),
inference(scs_inference,[],[i_0_30,i_0_38,i_0_33]) ).
cnf(i_0_336,plain,
meet(a,join(X1,z2)) = meet(join(X1,y2),a),
inference(scs_inference,[],[i_0_30,i_0_38,i_0_33,i_0_32]) ).
cnf(i_0_341,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_345,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_355,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_461,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_511,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_543,plain,
meet(join(X1,z2),a) = join(meet(a,join(X1,z2)),meet(meet(a,join(X1,z2)),X2)),
inference(scs_inference,[],[i_0_39,i_0_133,i_0_33]) ).
cnf(i_0_544,plain,
join(meet(a,join(X1,z2)),meet(meet(a,join(X1,z2)),X2)) = meet(join(X1,z2),a),
inference(scs_inference,[],[i_0_39,i_0_133,i_0_33,i_0_32]) ).
cnf(i_0_545,plain,
meet(join(X1,z2),a) = meet(meet(a,join(X1,z2)),join(meet(a,join(X1,z2)),X2)),
inference(scs_inference,[],[i_0_39,i_0_151,i_0_33]) ).
cnf(i_0_546,plain,
meet(meet(a,join(X1,z2)),join(meet(a,join(X1,z2)),X2)) = meet(join(X1,z2),a),
inference(scs_inference,[],[i_0_39,i_0_151,i_0_33,i_0_32]) ).
cnf(i_0_652,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_654,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_656,plain,
join(meet(a,join(X1,meet(a,z2))),meet(a,join(z2,meet(a,X1)))) = meet(a,join(X1,y2)),
inference(scs_inference,[],[i_0_69,i_0_26,i_0_33]) ).
cnf(i_0_657,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_658,plain,
meet(a,join(X1,y2)) = join(meet(a,join(X1,meet(a,z2))),meet(a,join(z2,meet(a,X1)))),
inference(scs_inference,[],[i_0_69,i_0_26,i_0_33,i_0_32]) ).
cnf(i_0_663,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_667,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_671,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_675,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_682,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_685,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_689,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_693,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_697,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_700,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_704,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_708,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_712,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_716,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_720,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_724,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_728,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_735,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_739,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_743,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_747,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_751,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_755,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_762,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_766,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_770,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_72]) ).
cnf(c_0_96,plain,
join(meet(X1,y2),meet(X1,z2)) != meet(meet(X1,join(y2,z2)),join(meet(X1,join(y2,z2)),X2)),
i_0_67 ).
cnf(c_0_97,plain,
X1 = meet(X1,join(X1,X2)),
i_0_90 ).
cnf(c_0_98,plain,
join(meet(X1,y2),meet(X1,z2)) != meet(X1,join(y2,z2)),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_99,axiom,
join(X1,X2) = join(X2,X1),
i_0_29 ).
cnf(c_0_100,plain,
join(meet(X1,z2),meet(X1,y2)) != meet(X1,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_99]) ).
cnf(c_0_101,axiom,
meet(X1,X2) = meet(X2,X1),
i_0_30 ).
cnf(c_0_102,plain,
join(meet(z2,X1),meet(X1,y2)) != meet(X1,join(z2,y2)),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,plain,
meet(join(z2,X1),join(z2,y2)) != join(z2,meet(y2,join(z2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_101]) ).
cnf(c_0_104,plain,
X1 = join(X1,meet(X1,X2)),
i_0_87 ).
cnf(c_0_105,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_97]),c_0_101]),c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT400-4 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 21:51:13 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 98.86/66.59 % Version : CSE_E---1.7
% 98.86/66.59 % Problem : theBenchmark.p
% 98.86/66.59 % SZS status Unsatisfiable for theBenchmark.p
% 98.86/66.59 % SZS output start CNFRefutation
% See solution above
% 100.16/67.84 % Total time : 66.232s
%------------------------------------------------------------------------------