%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT168-1 : TPTP v9.2.1. Released v3.1.0.
% 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 : n021.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 04:37:36 PM UTC 2026
% Result : Unsatisfiable 281.15s 86.09s
% Output : CNFRefutation 282.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 201 ( 195 unt; 0 nHn; 11 RR)
% Number of literals : 208 ( 207 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 : 445 ( 116 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_H58,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H58) ).
cnf(equation_H18_dual,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H18_dual) ).
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(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(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(i_0_10,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
prove_H58,
[final] ).
cnf(i_0_11,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))),
equation_H18_dual,
[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
| meet(X1,X3) = meet(X2,X3) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| meet(X3,X1) = meet(X3,X2) ) ).
cnf(i_0_25,axiom,
( X1 != X2
| join(X1,X3) = join(X2,X3) ) ).
cnf(i_0_26,axiom,
( X1 != X2
| join(X3,X1) = join(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(b,c) != join(b,meet(join(a,b),join(c,meet(a,b)))),
inference(scs_inference,[],[i_0_10,i_0_18,i_0_21,i_0_24]) ).
cnf(i_0_29,plain,
c != meet(join(a,b),join(c,meet(a,b))),
inference(scs_inference,[],[i_0_10,i_0_18,i_0_21,i_0_24,i_0_26]) ).
cnf(i_0_30,plain,
join(b,c) != join(meet(join(a,b),join(c,meet(a,b))),b),
inference(scs_inference,[],[i_0_10,i_0_18,i_0_16,i_0_21,i_0_24,i_0_26,i_0_22]) ).
cnf(i_0_31,plain,
join(X1,X2) = join(X2,X1),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_32,plain,
X1 = meet(X1,X1),
inference(scs_inference,[],[i_0_19,i_0_21]) ).
cnf(i_0_91,plain,
meet(X1,X2) = meet(X2,X1),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_92,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(scs_inference,[],[i_0_12,i_0_21]) ).
cnf(i_0_102,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(scs_inference,[],[i_0_13,i_0_21]) ).
cnf(i_0_103,plain,
X1 = join(X1,meet(X1,X2)),
inference(scs_inference,[],[i_0_14,i_0_21]) ).
cnf(i_0_110,plain,
X1 = meet(X1,join(X1,X2)),
inference(scs_inference,[],[i_0_15,i_0_21]) ).
cnf(i_0_120,plain,
join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))) = meet(join(X1,X2),join(X1,X3)),
inference(scs_inference,[],[i_0_11,i_0_21]) ).
cnf(i_0_127,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_130,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_136,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_139,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_143,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_147,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_154,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_167,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_171,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_175,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_185,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_189,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_193,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_197,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_203,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_207,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_210,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_214,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_220,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_248,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_252,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_259,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_265,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_272,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_276,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_280,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_283,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_287,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_291,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_295,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_298,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_302,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_306,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_313,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_316,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_319,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_322,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_325,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_328,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_331,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_334,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_337,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_340,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_343,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_346,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_349,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_352,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_355,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_358,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_361,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_367,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_370,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_373,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_378,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_381,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_387,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_390,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_396,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_399,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_402,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_405,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_408,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_411,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_413,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_415,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_417,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_420,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_423,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_426,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_429,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_432,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_435,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_438,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_441,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_447,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_450,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_453,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_455,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_456,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_457,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_458,plain,
join(meet(meet(X1,X2),X3),meet(meet(meet(X1,X2),X3),X4)) = meet(X1,meet(X2,X3)),
inference(scs_inference,[],[i_0_14,i_0_13,i_0_22]) ).
cnf(i_0_459,plain,
join(X1,meet(X1,X2)) = X1,
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_460,plain,
meet(X1,meet(X2,X3)) = join(meet(meet(X1,X2),X3),meet(meet(meet(X1,X2),X3),X4)),
inference(scs_inference,[],[i_0_14,i_0_13,i_0_22,i_0_21]) ).
cnf(i_0_463,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_466,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_469,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_472,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_475,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_478,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_481,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_484,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_487,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_490,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_493,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_496,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_499,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_502,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_505,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_508,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_511,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_514,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_517,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_520,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_523,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_526,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_529,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_532,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_535,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_538,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_541,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_544,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_547,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_550,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_553,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_559,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_562,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_565,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_568,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_571,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_580,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_583,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_586,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_589,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_592,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_595,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_598,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_601,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_604,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_607,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_613,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_619,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_622,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_625,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_628,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_631,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_634,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_637,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_640,plain,
meet(X1,join(X1,X2)) = X1,
inference(rename_variables,[],[i_0_15]) ).
cnf(c_0_119,plain,
X1 = meet(X1,join(X1,X2)),
i_0_110 ).
cnf(c_0_120,axiom,
join(X1,X2) = join(X2,X1),
i_0_16 ).
cnf(c_0_121,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
i_0_92 ).
cnf(c_0_122,plain,
X1 = join(X1,meet(X1,X2)),
i_0_103 ).
cnf(c_0_123,axiom,
meet(X1,X2) = meet(X2,X1),
i_0_17 ).
cnf(c_0_124,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
i_0_102 ).
cnf(c_0_127,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_128,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
i_0_10 ).
cnf(c_0_129,plain,
meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_123]) ).
cnf(c_0_130,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_123,c_0_126]) ).
cnf(c_0_131,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_126,c_0_124]) ).
cnf(c_0_132,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_119]),c_0_121]) ).
cnf(c_0_133,negated_conjecture,
meet(a,join(b,meet(join(b,a),join(c,meet(a,b))))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[c_0_128,c_0_120]) ).
cnf(c_0_134,axiom,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),meet(join(X1,X3),join(X2,meet(X1,X3))))),
i_0_11 ).
cnf(c_0_135,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(spm,[status(thm)],[c_0_129,c_0_120]) ).
cnf(c_0_136,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_130,c_0_123]) ).
cnf(c_0_137,plain,
meet(join(X1,X2),meet(join(X2,X1),X3)) = meet(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_124,c_0_132]) ).
cnf(c_0_139,negated_conjecture,
meet(a,join(b,meet(join(b,a),join(c,meet(b,a))))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[c_0_133,c_0_123]) ).
cnf(c_0_140,plain,
join(X1,meet(join(X1,X2),join(X3,meet(X1,X2)))) = meet(join(X1,X3),join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_130]),c_0_123]),c_0_135]) ).
cnf(c_0_141,plain,
meet(join(X1,X2),X3) = meet(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_142,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_120]),c_0_131])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT168-1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 4 20:54:10 EDT 2026
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % start to proof: theBenchmark
% 281.15/86.09 % Version : CSE_E---1.7
% 281.15/86.09 % Problem : theBenchmark.p
% 281.15/86.09 % SZS status Unsatisfiable for theBenchmark.p
% 281.15/86.09 % SZS output start CNFRefutation
% See solution above
% 282.26/87.18 % Total time : 83.506s
%------------------------------------------------------------------------------