TSTP Solution File: LAT186-10 by E-SAT---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : LAT186-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n020.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 : Mon Jun 24 10:22:21 EDT 2024
% Result : Unsatisfiable 11.21s 1.91s
% Output : CNFRefutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of clauses : 112 ( 112 unt; 0 nHn; 4 RR)
% Number of literals : 112 ( 111 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 234 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',absorption1) ).
cnf(complement_join,axiom,
join(X1,complement(X1)) = one,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',complement_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',commutativity_of_meet) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',absorption2) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',associativity_of_join) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',commutativity_of_join) ).
cnf(complement_meet,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',complement_meet) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',associativity_of_meet) ).
cnf(equation_H11,axiom,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,join(X3,meet(X1,X2))))))),
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',equation_H11) ).
cnf(meet_join_complement,axiom,
ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',meet_join_complement) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',ifeq_axiom) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',idempotence_of_join) ).
cnf(prove_distributivity,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p',prove_distributivity) ).
cnf(c_0_13,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_14,axiom,
join(X1,complement(X1)) = one,
complement_join ).
cnf(c_0_15,plain,
meet(X1,one) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_17,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_18,plain,
meet(one,X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_20,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_21,plain,
join(one,X1) = one,
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_23,axiom,
meet(X1,complement(X1)) = zero,
complement_meet ).
cnf(c_0_24,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_20]) ).
cnf(c_0_25,plain,
join(X1,join(complement(X1),X2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_14]),c_0_21]) ).
cnf(c_0_26,plain,
join(X1,one) = one,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_28,plain,
join(complement(X1),join(X2,X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_20]) ).
cnf(c_0_29,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_30,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_31,plain,
join(X1,complement(meet(X2,X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_22]) ).
cnf(c_0_32,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_29]) ).
cnf(c_0_33,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_34,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_35,plain,
join(meet(X1,X2),complement(meet(X1,meet(X3,X2)))) = one,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,axiom,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,join(X3,meet(X1,X2))))))),
equation_H11 ).
cnf(c_0_37,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_29,c_0_13]) ).
cnf(c_0_38,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_29]) ).
cnf(c_0_39,plain,
meet(X1,meet(complement(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_34]) ).
cnf(c_0_40,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_41,plain,
join(complement(meet(X1,X2)),meet(X1,join(X3,X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_22]) ).
cnf(c_0_42,plain,
meet(X1,join(complement(X1),meet(X2,join(X1,meet(complement(X1),X2))))) = meet(X1,join(complement(X1),meet(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_23]),c_0_27]) ).
cnf(c_0_43,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_37]) ).
cnf(c_0_44,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_45,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_29]) ).
cnf(c_0_46,plain,
join(complement(meet(X1,X2)),meet(X1,join(complement(X1),meet(X1,X2)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_47,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_44]) ).
cnf(c_0_48,plain,
join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_49,plain,
meet(X1,complement(join(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_33]),c_0_16]) ).
cnf(c_0_50,axiom,
ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2,
meet_join_complement ).
cnf(c_0_51,plain,
meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))))) = X1,
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_36,c_0_46]),c_0_15]),c_0_47]),c_0_14]),c_0_15]),c_0_20]),c_0_14]),c_0_26]),c_0_15]),c_0_20]) ).
cnf(c_0_52,plain,
join(complement(X1),join(X2,join(X3,X1))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_25]),c_0_26]),c_0_26]),c_0_20]) ).
cnf(c_0_53,plain,
meet(complement(join(X1,X2)),join(meet(X1,X3),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_16]) ).
cnf(c_0_54,plain,
ifeq(join(X1,X2),one,ifeq(meet(X2,X1),zero,complement(X1),X2),X2) = X2,
inference(spm,[status(thm)],[c_0_50,c_0_16]) ).
cnf(c_0_55,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_56,plain,
join(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_51]),c_0_20]),c_0_20]),c_0_52]) ).
cnf(c_0_57,plain,
meet(complement(X1),join(meet(X1,X2),meet(X1,X3))) = zero,
inference(spm,[status(thm)],[c_0_53,c_0_17]) ).
cnf(c_0_58,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_23]),c_0_22]),c_0_14]),c_0_55]),c_0_55]) ).
cnf(c_0_59,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_60,plain,
join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_56]),c_0_57]),c_0_58]),c_0_55]),c_0_55]) ).
cnf(c_0_61,plain,
ifeq(join(X1,X2),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_22]) ).
cnf(c_0_62,plain,
join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_64,plain,
ifeq(join(X1,X2),one,complement(meet(X2,complement(meet(X2,X1)))),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_29]),c_0_16]),c_0_63]),c_0_55]) ).
cnf(c_0_65,plain,
ifeq(join(X1,X2),one,complement(meet(X1,complement(meet(X1,X2)))),X2) = X2,
inference(spm,[status(thm)],[c_0_64,c_0_22]) ).
cnf(c_0_66,plain,
complement(meet(X1,complement(meet(X1,join(complement(X1),X2))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_25]),c_0_55]) ).
cnf(c_0_67,plain,
meet(X1,complement(meet(X1,join(complement(X1),X2)))) = complement(join(complement(X1),X2)),
inference(spm,[status(thm)],[c_0_58,c_0_66]) ).
cnf(c_0_68,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_69,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_67]) ).
cnf(c_0_70,plain,
join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_62,c_0_16]) ).
cnf(c_0_71,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_72,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_69,c_0_58]) ).
cnf(c_0_73,plain,
join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_13]),c_0_16]),c_0_71]) ).
cnf(c_0_74,plain,
join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_60]),c_0_22]) ).
cnf(c_0_75,plain,
join(complement(X1),meet(X1,complement(meet(X1,X2)))) = complement(meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_58]) ).
cnf(c_0_76,plain,
meet(X1,complement(meet(X1,complement(meet(X1,X2))))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_74]),c_0_58]) ).
cnf(c_0_77,plain,
complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
cnf(c_0_79,plain,
meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_78,c_0_16]) ).
cnf(c_0_81,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_69,c_0_22]) ).
cnf(c_0_82,plain,
meet(X1,join(complement(X1),meet(X2,X1))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
meet(X1,complement(join(X2,complement(X1)))) = complement(join(X2,complement(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_81]),c_0_16]) ).
cnf(c_0_84,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_29,c_0_33]) ).
cnf(c_0_85,plain,
meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_13]),c_0_22]) ).
cnf(c_0_86,plain,
complement(join(complement(X1),meet(X1,X2))) = meet(X1,complement(meet(X1,X2))),
inference(spm,[status(thm)],[c_0_58,c_0_77]) ).
cnf(c_0_87,plain,
meet(complement(X1),complement(join(X2,X1))) = complement(join(X2,X1)),
inference(spm,[status(thm)],[c_0_83,c_0_58]) ).
cnf(c_0_88,plain,
meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,plain,
ifeq(join(X1,X2),one,join(complement(X2),meet(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[c_0_64,c_0_77]) ).
cnf(c_0_90,plain,
join(X1,join(X2,complement(join(X1,X2)))) = one,
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_91,plain,
complement(join(X1,complement(join(X2,X1)))) = meet(complement(X1),join(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_58]),c_0_58]) ).
cnf(c_0_92,plain,
meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_88,c_0_22]) ).
cnf(c_0_93,plain,
join(meet(X1,X2),meet(complement(X2),join(X1,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_89,c_0_90]),c_0_91]),c_0_16]),c_0_92]),c_0_55]),c_0_22]) ).
cnf(c_0_94,plain,
join(X1,meet(complement(X1),join(X2,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_33]),c_0_16]),c_0_24]) ).
cnf(c_0_95,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_93]),c_0_29]),c_0_16]),c_0_13]) ).
cnf(c_0_96,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_97,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_98,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_99,plain,
join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_96,c_0_58]) ).
cnf(c_0_100,plain,
meet(complement(X1),meet(join(X2,X1),X3)) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_95]),c_0_29]) ).
cnf(c_0_101,plain,
meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_29]) ).
cnf(c_0_102,plain,
join(X1,meet(join(X2,X1),X3)) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_58]),c_0_96]),c_0_58]) ).
cnf(c_0_103,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_47]),c_0_16]) ).
cnf(c_0_104,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_105,plain,
join(X1,meet(X2,join(X3,X1))) = join(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_102,c_0_16]) ).
cnf(c_0_106,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
inference(fof_simplification,[status(thm)],[prove_distributivity]) ).
cnf(c_0_107,plain,
meet(join(X1,X2),join(X3,X2)) = join(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_103]) ).
cnf(c_0_108,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,X2)),
inference(spm,[status(thm)],[c_0_104,c_0_16]) ).
cnf(c_0_109,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
c_0_106 ).
cnf(c_0_110,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_17]),c_0_108]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT186-10 : TPTP v8.2.0. Released v7.3.0.
% 0.03/0.10 % Command : run_E %s %d SAT
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Jun 21 21:03:24 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.rEe81uuTpD/E---3.1_10471.p
% 11.21/1.91 # Version: 3.2.0
% 11.21/1.91 # Preprocessing class: FSSSSMSSSSSNFFN.
% 11.21/1.91 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.21/1.91 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.21/1.91 # Starting new_bool_3 with 300s (1) cores
% 11.21/1.91 # Starting new_bool_1 with 300s (1) cores
% 11.21/1.91 # Starting sh5l with 300s (1) cores
% 11.21/1.91 # sh5l with pid 10551 completed with status 0
% 11.21/1.91 # Result found by sh5l
% 11.21/1.91 # Preprocessing class: FSSSSMSSSSSNFFN.
% 11.21/1.91 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.21/1.91 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.21/1.91 # Starting new_bool_3 with 300s (1) cores
% 11.21/1.91 # Starting new_bool_1 with 300s (1) cores
% 11.21/1.91 # Starting sh5l with 300s (1) cores
% 11.21/1.91 # SinE strategy is gf500_gu_R04_F100_L20000
% 11.21/1.91 # Search class: FUUPM-FFSF32-DFFFFFNN
% 11.21/1.91 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 11.21/1.91 # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN with 181s (1) cores
% 11.21/1.91 # G----_X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN with pid 10559 completed with status 0
% 11.21/1.91 # Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 11.21/1.91 # Preprocessing class: FSSSSMSSSSSNFFN.
% 11.21/1.91 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.21/1.91 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.21/1.91 # Starting new_bool_3 with 300s (1) cores
% 11.21/1.91 # Starting new_bool_1 with 300s (1) cores
% 11.21/1.91 # Starting sh5l with 300s (1) cores
% 11.21/1.91 # SinE strategy is gf500_gu_R04_F100_L20000
% 11.21/1.91 # Search class: FUUPM-FFSF32-DFFFFFNN
% 11.21/1.91 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 11.21/1.91 # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN with 181s (1) cores
% 11.21/1.91 # Preprocessing time : 0.002 s
% 11.21/1.91 # Presaturation interreduction done
% 11.21/1.91
% 11.21/1.91 # Proof found!
% 11.21/1.91 # SZS status Unsatisfiable
% 11.21/1.91 # SZS output start CNFRefutation
% See solution above
% 11.21/1.91 # Parsed axioms : 14
% 11.21/1.91 # Removed by relevancy pruning/SinE : 0
% 11.21/1.91 # Initial clauses : 14
% 11.21/1.91 # Removed in clause preprocessing : 0
% 11.21/1.91 # Initial clauses in saturation : 14
% 11.21/1.91 # Processed clauses : 3299
% 11.21/1.91 # ...of these trivial : 2047
% 11.21/1.91 # ...subsumed : 707
% 11.21/1.91 # ...remaining for further processing : 545
% 11.21/1.91 # Other redundant clauses eliminated : 0
% 11.21/1.91 # Clauses deleted for lack of memory : 0
% 11.21/1.91 # Backward-subsumed : 0
% 11.21/1.91 # Backward-rewritten : 242
% 11.21/1.91 # Generated clauses : 154870
% 11.21/1.91 # ...of the previous two non-redundant : 80492
% 11.21/1.91 # ...aggressively subsumed : 0
% 11.21/1.91 # Contextual simplify-reflections : 0
% 11.21/1.91 # Paramodulations : 154870
% 11.21/1.91 # Factorizations : 0
% 11.21/1.91 # NegExts : 0
% 11.21/1.91 # Equation resolutions : 0
% 11.21/1.91 # Disequality decompositions : 0
% 11.21/1.91 # Total rewrite steps : 411140
% 11.21/1.91 # ...of those cached : 353916
% 11.21/1.91 # Propositional unsat checks : 0
% 11.21/1.91 # Propositional check models : 0
% 11.21/1.91 # Propositional check unsatisfiable : 0
% 11.21/1.91 # Propositional clauses : 0
% 11.21/1.91 # Propositional clauses after purity: 0
% 11.21/1.91 # Propositional unsat core size : 0
% 11.21/1.91 # Propositional preprocessing time : 0.000
% 11.21/1.91 # Propositional encoding time : 0.000
% 11.21/1.91 # Propositional solver time : 0.000
% 11.21/1.91 # Success case prop preproc time : 0.000
% 11.21/1.91 # Success case prop encoding time : 0.000
% 11.21/1.91 # Success case prop solver time : 0.000
% 11.21/1.91 # Current number of processed clauses : 289
% 11.21/1.91 # Positive orientable unit clauses : 281
% 11.21/1.91 # Positive unorientable unit clauses: 8
% 11.21/1.91 # Negative unit clauses : 0
% 11.21/1.91 # Non-unit-clauses : 0
% 11.21/1.91 # Current number of unprocessed clauses: 76950
% 11.21/1.91 # ...number of literals in the above : 76950
% 11.21/1.91 # Current number of archived formulas : 0
% 11.21/1.91 # Current number of archived clauses : 256
% 11.21/1.91 # Clause-clause subsumption calls (NU) : 0
% 11.21/1.91 # Rec. Clause-clause subsumption calls : 0
% 11.21/1.91 # Non-unit clause-clause subsumptions : 0
% 11.21/1.91 # Unit Clause-clause subsumption calls : 188
% 11.21/1.91 # Rewrite failures with RHS unbound : 0
% 11.21/1.91 # BW rewrite match attempts : 4457
% 11.21/1.91 # BW rewrite match successes : 714
% 11.21/1.91 # Condensation attempts : 0
% 11.21/1.91 # Condensation successes : 0
% 11.21/1.91 # Termbank termtop insertions : 2319064
% 11.21/1.91 # Search garbage collected termcells : 2
% 11.21/1.91
% 11.21/1.91 # -------------------------------------------------
% 11.21/1.91 # User time : 1.369 s
% 11.21/1.91 # System time : 0.058 s
% 11.21/1.91 # Total time : 1.427 s
% 11.21/1.91 # Maximum resident set size: 1620 pages
% 11.21/1.91
% 11.21/1.91 # -------------------------------------------------
% 11.21/1.91 # User time : 1.369 s
% 11.21/1.91 # System time : 0.060 s
% 11.21/1.91 # Total time : 1.429 s
% 11.21/1.91 # Maximum resident set size: 1696 pages
% 11.21/1.91 % E---3.1 exiting
% 11.21/1.91 % E exiting
%------------------------------------------------------------------------------