%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT009-1 : TPTP v9.2.1. Released v2.2.0.
% 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 : n031.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 04:37:18 PM UTC 2026
% Result : Unsatisfiable 126.85s 58.69s
% Output : CNFRefutation 127.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of clauses : 270 ( 264 unt; 0 nHn; 11 RR)
% Number of literals : 277 ( 276 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 563 ( 63 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity_dual,axiom,
join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_dual) ).
cnf(prove_distributivity,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(i_0_10,axiom,
join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)),
distributivity_dual,
[final] ).
cnf(i_0_11,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
prove_distributivity,
[final] ).
cnf(i_0_12,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join,
[final] ).
cnf(i_0_13,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet,
[final] ).
cnf(i_0_14,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2,
[final] ).
cnf(i_0_15,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1,
[final] ).
cnf(i_0_16,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join,
[final] ).
cnf(i_0_17,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet,
[final] ).
cnf(i_0_18,axiom,
join(X1,X1) = X1,
idempotence_of_join,
[final] ).
cnf(i_0_19,axiom,
meet(X1,X1) = X1,
idempotence_of_meet,
[final] ).
cnf(i_0_20,axiom,
X1 = X1 ).
cnf(i_0_21,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_22,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_23,axiom,
( X1 != X2
| join(X1,X3) = join(X2,X3) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| join(X3,X1) = join(X3,X2) ) ).
cnf(i_0_25,axiom,
( X1 != X2
| meet(X1,X3) = meet(X2,X3) ) ).
cnf(i_0_26,axiom,
( X1 != X2
| meet(X3,X1) = meet(X3,X2) ) ).
cnf(i_0_27,plain,
X1 = join(X1,X1),
inference(scs_inference,[],[i_0_18,i_0_21]) ).
cnf(i_0_28,plain,
join(a,meet(b,c)) != join(meet(join(a,b),join(a,c)),meet(join(a,b),join(a,c))),
inference(scs_inference,[],[i_0_11,i_0_18,i_0_21,i_0_22]) ).
cnf(i_0_29,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_30,plain,
X1 = meet(X1,X1),
inference(scs_inference,[],[i_0_19,i_0_21]) ).
cnf(i_0_31,plain,
join(a,meet(b,c)) != meet(meet(join(a,b),join(a,c)),meet(join(a,b),join(a,c))),
inference(scs_inference,[],[i_0_11,i_0_19,i_0_21,i_0_22]) ).
cnf(i_0_32,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_33,plain,
meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)) = join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)),
inference(scs_inference,[],[i_0_10,i_0_21]) ).
cnf(i_0_34,plain,
join(a,meet(b,c)) != meet(join(a,c),join(a,b)),
inference(scs_inference,[],[i_0_11,i_0_17,i_0_10,i_0_21,i_0_22]) ).
cnf(i_0_35,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_36,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(scs_inference,[],[i_0_12,i_0_21]) ).
cnf(i_0_38,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_57,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_58,plain,
X1 = join(X1,meet(X1,X2)),
inference(scs_inference,[],[i_0_14,i_0_21]) ).
cnf(i_0_59,plain,
join(a,meet(b,c)) != join(meet(join(a,b),join(a,c)),meet(meet(join(a,b),join(a,c)),X1)),
inference(scs_inference,[],[i_0_11,i_0_14,i_0_21,i_0_22]) ).
cnf(i_0_60,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_61,plain,
X1 = meet(X1,join(X1,X2)),
inference(scs_inference,[],[i_0_15,i_0_21]) ).
cnf(i_0_62,plain,
join(a,meet(b,c)) != meet(meet(join(a,b),join(a,c)),join(meet(join(a,b),join(a,c)),X1)),
inference(scs_inference,[],[i_0_11,i_0_15,i_0_21,i_0_22]) ).
cnf(i_0_63,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_64,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(scs_inference,[],[i_0_13,i_0_21]) ).
cnf(i_0_66,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_69,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_72,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_74,plain,
join(join(join(X1,X2),X3),meet(join(join(X1,X2),X3),X4)) = join(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_14,i_0_12,i_0_22]) ).
cnf(i_0_75,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_76,plain,
join(X1,join(X2,X3)) = join(join(join(X1,X2),X3),meet(join(join(X1,X2),X3),X4)),
inference(scs_inference,[],[i_0_14,i_0_12,i_0_22,i_0_21]) ).
cnf(i_0_78,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_81,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_84,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_86,plain,
meet(join(join(X1,X2),X3),join(join(join(X1,X2),X3),X4)) = join(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_15,i_0_12,i_0_22]) ).
cnf(i_0_87,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_88,plain,
join(X1,join(X2,X3)) = meet(join(join(X1,X2),X3),join(join(join(X1,X2),X3),X4)),
inference(scs_inference,[],[i_0_15,i_0_12,i_0_22,i_0_21]) ).
cnf(i_0_91,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_94,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_98,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_102,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_106,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_110,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_113,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_117,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_120,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_124,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_135,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_139,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_143,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_154,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_158,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_162,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_166,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_170,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_177,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_185,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(scs_inference,[],[i_0_16,i_0_12,i_0_22]) ).
cnf(i_0_186,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_187,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_188,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(scs_inference,[],[i_0_16,i_0_12,i_0_22,i_0_21]) ).
cnf(i_0_194,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_197,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_223,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_237,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_246,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_249,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_252,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_261,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_293,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_302,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_315,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_338,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_354,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_370,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_373,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_376,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_379,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_382,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_385,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_388,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_391,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_394,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_397,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_400,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_403,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_406,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_409,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_412,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_415,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_418,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_421,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_424,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_427,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_430,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_433,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_435,plain,
join(join(join(X1,X2),X3),join(join(X1,X2),X3)) = join(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_18,i_0_12,i_0_22]) ).
cnf(i_0_436,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_437,plain,
join(X1,join(X2,X3)) = join(join(join(X1,X2),X3),join(join(X1,X2),X3)),
inference(scs_inference,[],[i_0_18,i_0_12,i_0_22,i_0_21]) ).
cnf(i_0_439,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_442,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_445,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_448,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_451,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_454,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_457,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_460,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_463,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_466,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_469,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_472,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_475,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_478,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_481,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_484,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_487,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_490,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_493,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_496,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_499,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_502,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_505,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_508,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_511,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_514,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_517,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_520,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_523,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_526,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_529,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_532,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_535,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_538,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_541,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_544,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_547,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_550,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_553,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_555,plain,
meet(join(join(X1,X2),X3),join(join(X1,X2),X3)) = join(X1,join(X2,X3)),
inference(scs_inference,[],[i_0_19,i_0_12,i_0_22]) ).
cnf(i_0_556,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_557,plain,
join(X1,join(X2,X3)) = meet(join(join(X1,X2),X3),join(join(X1,X2),X3)),
inference(scs_inference,[],[i_0_19,i_0_12,i_0_22,i_0_21]) ).
cnf(i_0_839,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_841,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_843,plain,
join(X1,X1) = X1,
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_845,plain,
meet(X1,X1) = X1,
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_1355,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1362,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1365,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1369,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1379,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1386,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1388,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1395,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1398,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_1403,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_1420,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_1429,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_1434,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_1444,plain,
join(meet(X1,join(X1,X2)),X3) = join(X1,X3),
inference(scs_inference,[],[i_0_15,i_0_23]) ).
cnf(i_0_1445,plain,
join(X1,meet(X2,join(X2,X3))) = join(X1,X2),
inference(scs_inference,[],[i_0_15,i_0_23,i_0_24]) ).
cnf(i_0_1446,plain,
meet(meet(X1,join(X1,X2)),X3) = meet(X1,X3),
inference(scs_inference,[],[i_0_15,i_0_23,i_0_24,i_0_25]) ).
cnf(i_0_1447,plain,
meet(X1,meet(X2,join(X2,X3))) = meet(X1,X2),
inference(scs_inference,[],[i_0_15,i_0_23,i_0_24,i_0_25,i_0_26]) ).
cnf(i_0_1449,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_1454,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_1467,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_1479,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_1484,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_1491,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_1494,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_1499,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_1515,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_1521,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_37,plain,
join(X1,X2) = join(X1,join(X2,join(X1,X2))),
inference(scs_inference,[],[i_0_27,i_0_12,i_0_21,i_0_22]) ).
cnf(i_0_39,plain,
X1 = join(X1,X1),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_42,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_43,plain,
X1 = join(X1,X1),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_46,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_50,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_54,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_65,plain,
join(join(X1,join(X2,X3)),meet(join(X1,join(X2,X3)),X4)) = join(join(X1,X2),X3),
inference(scs_inference,[],[i_0_14,i_0_36,i_0_22]) ).
cnf(i_0_67,plain,
join(join(X1,X2),X3) = join(join(X1,join(X2,X3)),meet(join(X1,join(X2,X3)),X4)),
inference(scs_inference,[],[i_0_14,i_0_36,i_0_22,i_0_21]) ).
cnf(i_0_77,plain,
meet(join(X1,join(X2,X3)),join(join(X1,join(X2,X3)),X4)) = join(join(X1,X2),X3),
inference(scs_inference,[],[i_0_15,i_0_36,i_0_22]) ).
cnf(i_0_79,plain,
join(join(X1,X2),X3) = meet(join(X1,join(X2,X3)),join(join(X1,join(X2,X3)),X4)),
inference(scs_inference,[],[i_0_15,i_0_36,i_0_22,i_0_21]) ).
cnf(i_0_128,plain,
X1 = meet(X1,join(X1,X2)),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_137,plain,
join(join(X1,X2),X3) = join(join(join(X3,X1),X2),meet(join(join(X3,X1),X2),X4)),
inference(scs_inference,[],[i_0_16,i_0_76,i_0_22]) ).
cnf(i_0_138,plain,
join(X1,join(X2,X3)) = join(join(join(X1,X2),X3),meet(join(join(X1,X2),X3),X4)),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_140,plain,
join(join(join(X1,X2),X3),meet(join(join(X1,X2),X3),X4)) = join(join(X2,X3),X1),
inference(scs_inference,[],[i_0_16,i_0_76,i_0_22,i_0_21]) ).
cnf(i_0_141,plain,
join(join(X1,X2),X3) = meet(join(join(X3,X1),X2),join(join(join(X3,X1),X2),X4)),
inference(scs_inference,[],[i_0_16,i_0_88,i_0_22]) ).
cnf(i_0_142,plain,
join(X1,join(X2,X3)) = meet(join(join(X1,X2),X3),join(join(join(X1,X2),X3),X4)),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_144,plain,
meet(join(join(X1,X2),X3),join(join(join(X1,X2),X3),X4)) = join(join(X2,X3),X1),
inference(scs_inference,[],[i_0_16,i_0_88,i_0_22,i_0_21]) ).
cnf(i_0_147,plain,
X1 = meet(X1,join(X1,X2)),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_200,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_204,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_258,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_265,plain,
X1 = join(X1,meet(X1,X2)),
inference(rename_variables,[],[i_0_58]) ).
cnf(c_0_200,plain,
X1 = join(X1,meet(X1,X2)),
i_0_58 ).
cnf(c_0_201,axiom,
meet(X1,X2) = meet(X2,X1),
i_0_17 ).
cnf(c_0_202,axiom,
join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)),
i_0_10 ).
cnf(c_0_203,axiom,
join(X1,X2) = join(X2,X1),
i_0_16 ).
cnf(c_0_204,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
i_0_64 ).
cnf(c_0_205,plain,
X1 = meet(X1,X1),
i_0_30 ).
cnf(c_0_206,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_207,plain,
X1 = meet(X1,join(X1,X2)),
i_0_61 ).
cnf(c_0_208,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
i_0_36 ).
cnf(c_0_209,plain,
join(meet(X1,X2),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_201]),c_0_203]),c_0_203]),c_0_201]) ).
cnf(c_0_210,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_211,plain,
X1 = join(X1,X1),
i_0_27 ).
cnf(c_0_212,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
i_0_188 ).
cnf(c_0_213,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_214,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_206,c_0_204]) ).
cnf(c_0_215,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_207,c_0_204]) ).
cnf(c_0_216,plain,
meet(X1,join(X2,meet(X1,join(meet(X1,X3),X2)))) = join(meet(X1,X3),meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_204]),c_0_200]),c_0_203]),c_0_200]),c_0_201]) ).
cnf(c_0_217,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_208,c_0_211]) ).
cnf(c_0_218,plain,
join(X1,join(X2,join(X1,X3))) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_208]) ).
cnf(c_0_219,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_214,c_0_201]) ).
cnf(c_0_220,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_204,c_0_207]) ).
cnf(c_0_221,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_207,c_0_203]) ).
cnf(c_0_222,plain,
meet(X1,join(meet(X2,X3),meet(X1,X2))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_204]),c_0_205]) ).
cnf(c_0_223,plain,
meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_215,c_0_201]) ).
cnf(c_0_224,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_212]),c_0_218]) ).
cnf(c_0_225,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_208]) ).
cnf(c_0_226,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_200]),c_0_204]) ).
cnf(c_0_227,plain,
meet(X1,join(meet(X2,X3),meet(X1,X3))) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_228,plain,
join(meet(X1,join(meet(X1,X2),X3)),meet(X2,join(meet(X1,X2),X3))) = meet(join(X1,X3),join(X2,meet(join(X1,X2),join(meet(X1,X2),X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_217]),c_0_208]),c_0_224]),c_0_225]),c_0_201]) ).
cnf(c_0_229,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_226]),c_0_220]) ).
cnf(c_0_230,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_206,c_0_226]) ).
cnf(c_0_231,plain,
join(meet(X1,X2),meet(X3,join(meet(X1,X3),X2))) = meet(join(X2,X1),join(X3,meet(join(X1,X3),X2))),
inference(spm,[status(thm)],[c_0_209,c_0_201]) ).
cnf(c_0_232,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]) ).
cnf(c_0_233,plain,
join(meet(X1,X2),join(X3,meet(X2,X1))) = join(X3,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_212,c_0_230]) ).
cnf(c_0_234,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_207]),c_0_208]) ).
cnf(c_0_235,plain,
meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))) = join(meet(X2,X1),meet(X3,join(X2,X1))),
inference(rw,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_236,plain,
meet(X1,join(meet(X1,X2),X3)) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_232,c_0_201]) ).
cnf(c_0_237,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).
cnf(c_0_238,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_201,c_0_204]) ).
cnf(c_0_239,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_204,c_0_221]) ).
cnf(c_0_240,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_207,c_0_212]) ).
cnf(c_0_241,plain,
join(X1,join(meet(X2,meet(X1,X3)),X4)) = join(X4,X1),
inference(spm,[status(thm)],[c_0_212,c_0_219]) ).
cnf(c_0_242,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_208,c_0_206]) ).
cnf(c_0_243,plain,
join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_200]),c_0_201]),c_0_236]),c_0_237]),c_0_208]),c_0_211]),c_0_204]),c_0_226]),c_0_203]),c_0_200]) ).
cnf(c_0_244,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_238,c_0_201]) ).
cnf(c_0_245,plain,
meet(join(X1,X2),meet(join(X2,X1),X3)) = meet(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_239,c_0_213]) ).
cnf(c_0_246,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_221,c_0_213]) ).
cnf(c_0_247,plain,
join(X1,meet(X2,join(X1,meet(join(X3,X1),X2)))) = meet(join(X1,X3),join(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_221]),c_0_213]),c_0_208]),c_0_201]),c_0_240]),c_0_203]) ).
cnf(c_0_248,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_241]),c_0_204]),c_0_241]) ).
cnf(c_0_249,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_250,plain,
meet(join(X1,X2),X3) = meet(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_251,plain,
meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_213]),c_0_249]) ).
cnf(c_0_252,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
i_0_11 ).
cnf(c_0_253,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_254,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_253]),c_0_201])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT009-1 : TPTP v9.2.1. Released v2.2.0.
% 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
% 0.16/0.32 % Computer : n031.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:49:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 126.85/58.69 % Version : CSE_E---1.7
% 126.85/58.69 % Problem : theBenchmark.p
% 126.85/58.69 % SZS status Unsatisfiable for theBenchmark.p
% 126.85/58.69 % SZS output start CNFRefutation
% See solution above
% 127.95/59.73 % Total time : 57.352s
%------------------------------------------------------------------------------