TSTP Solution File: LAT020-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT020-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:07:25 EDT 2023
% Result : Unsatisfiable 39.08s 5.39s
% Output : CNFRefutation 39.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of clauses : 121 ( 121 unt; 0 nHn; 5 RR)
% Number of literals : 121 ( 120 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 323 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quasi_lattice2,axiom,
meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',quasi_lattice2) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',commutativity_of_meet) ).
cnf(quasi_lattice1,axiom,
join(meet(X1,join(X2,X3)),meet(X1,X2)) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',quasi_lattice1) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',commutativity_of_join) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',idempotence_of_join) ).
cnf(self_dual_distributivity,hypothesis,
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/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',self_dual_distributivity) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',associativity_of_join) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',idempotence_of_meet) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',associativity_of_meet) ).
cnf(prove_distributivity,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p',prove_distributivity) ).
cnf(c_0_10,axiom,
meet(join(X1,meet(X2,X3)),join(X1,X2)) = join(X1,meet(X2,X3)),
quasi_lattice2 ).
cnf(c_0_11,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_12,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
join(meet(X1,join(X2,X3)),meet(X1,X2)) = meet(X1,join(X2,X3)),
quasi_lattice1 ).
cnf(c_0_14,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_15,plain,
meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_17,hypothesis,
join(meet(join(meet(X1,X2),X3),X2),meet(X3,X1)) = meet(join(meet(join(X1,X2),X3),X2),join(X3,X1)),
self_dual_distributivity ).
cnf(c_0_18,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_19,plain,
join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_21,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_22,plain,
meet(X1,join(X1,meet(X2,X1))) = join(X1,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,hypothesis,
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_17,c_0_11]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_24,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_14]),c_0_18]) ).
cnf(c_0_25,plain,
join(X1,join(X2,meet(X1,join(X1,X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11]),c_0_14]),c_0_18]) ).
cnf(c_0_26,plain,
join(X1,meet(X1,join(X1,X2))) = meet(X1,join(X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
meet(X1,join(X2,meet(X1,X2))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]),c_0_11]),c_0_21]),c_0_22]) ).
cnf(c_0_28,hypothesis,
join(meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))),X4) = join(meet(X1,X2),join(meet(X3,join(meet(X2,X3),X1)),X4)),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_29,plain,
join(X1,meet(X2,join(X2,X1))) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
meet(X1,join(X2,meet(X2,X1))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_31,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_32,plain,
meet(join(X1,X2),join(X2,meet(X3,X1))) = join(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_33,plain,
meet(join(X1,X2),join(meet(X2,X3),X1)) = join(meet(X2,X3),X1),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_34,plain,
join(X1,join(meet(X1,join(X1,X2)),meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_11]),c_0_24]) ).
cnf(c_0_35,hypothesis,
join(meet(X1,join(X1,X2)),X3) = join(X1,join(meet(X1,X2),X3)),
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_28,c_0_16]),c_0_11]),c_0_29]),c_0_20]),c_0_14]),c_0_30]) ).
cnf(c_0_36,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_37,plain,
join(meet(X1,meet(X2,X3)),meet(X1,meet(X2,join(X3,X4)))) = meet(X1,meet(X2,join(X3,X4))),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_38,plain,
meet(X1,meet(X2,join(X1,meet(X1,X2)))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_14]),c_0_11]),c_0_21]) ).
cnf(c_0_39,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_31,c_0_11]) ).
cnf(c_0_40,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_11]),c_0_21]) ).
cnf(c_0_41,hypothesis,
join(meet(X1,X2),meet(X2,join(X2,X1))) = join(X2,meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_20]),c_0_16]),c_0_32]) ).
cnf(c_0_42,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_43,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_44,plain,
meet(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_45,plain,
join(X1,join(meet(X1,X2),meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_46,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_47,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_48,plain,
meet(X1,meet(join(X1,meet(X1,X2)),join(X2,X3))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_14]),c_0_40]) ).
cnf(c_0_49,hypothesis,
join(X1,meet(X1,X2)) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_14]),c_0_42]) ).
cnf(c_0_50,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_43,c_0_11]) ).
cnf(c_0_51,plain,
meet(join(X1,X2),meet(join(X2,X1),X3)) = meet(join(X2,X1),X3),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_52,plain,
join(X1,join(meet(X2,X3),meet(X1,X2))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_45,c_0_14]) ).
cnf(c_0_53,plain,
join(meet(X1,X2),meet(join(X2,X3),X1)) = meet(join(X2,X3),X1),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_54,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_14]) ).
cnf(c_0_55,plain,
join(meet(X1,X2),join(meet(X2,X1),X3)) = join(meet(X2,X1),X3),
inference(spm,[status(thm)],[c_0_18,c_0_47]) ).
cnf(c_0_56,hypothesis,
meet(X1,meet(join(X2,X1),join(X2,X3))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_21]),c_0_31]) ).
cnf(c_0_57,plain,
meet(join(X1,X2),X3) = meet(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_44]) ).
cnf(c_0_58,plain,
meet(X1,join(X1,meet(X1,X2))) = join(X1,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_59,plain,
join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,join(X2,meet(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_18]),c_0_18]) ).
cnf(c_0_60,plain,
join(X1,join(meet(X1,X2),meet(X3,X2))) = join(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_61,plain,
join(meet(X1,X2),X3) = join(X3,meet(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_47]) ).
cnf(c_0_62,hypothesis,
join(X1,join(X2,meet(X2,X1))) = join(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_16]),c_0_32]),c_0_20]),c_0_29]) ).
cnf(c_0_63,hypothesis,
meet(X1,meet(join(X2,X3),join(X1,X2))) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,plain,
meet(join(X1,X2),meet(X3,join(X1,X3))) = meet(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_48]),c_0_58]),c_0_49]) ).
cnf(c_0_65,plain,
meet(join(X1,X2),meet(X3,join(X1,meet(X2,X4)))) = meet(X3,join(X1,meet(X2,X4))),
inference(spm,[status(thm)],[c_0_40,c_0_12]) ).
cnf(c_0_66,plain,
join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,join(X2,meet(X3,X1))),
inference(spm,[status(thm)],[c_0_59,c_0_57]) ).
cnf(c_0_67,plain,
join(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X2,join(meet(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_68,plain,
join(X1,join(meet(X2,X3),meet(X3,X1))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,hypothesis,
join(X1,meet(X2,X1)) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_62]),c_0_11]),c_0_30]),c_0_42]),c_0_30]) ).
cnf(c_0_70,hypothesis,
join(X1,meet(X2,meet(X1,X3))) = meet(X1,join(meet(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_71,hypothesis,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,meet(X2,join(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_33]),c_0_21]),c_0_21]) ).
cnf(c_0_72,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,meet(X2,join(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_21]),c_0_21]) ).
cnf(c_0_73,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_39]),c_0_21]),c_0_21]) ).
cnf(c_0_74,plain,
join(X1,meet(X2,join(meet(X3,X2),X1))) = join(X1,meet(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_75,hypothesis,
meet(X1,meet(join(X2,X1),join(X3,meet(X1,join(meet(X2,X1),X3))))) = join(meet(X2,X1),meet(X3,meet(X1,join(meet(X3,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(spm,[status(thm)],[c_0_23,c_0_39]),c_0_21]),c_0_69]),c_0_11]),c_0_21]),c_0_14]),c_0_70]) ).
cnf(c_0_76,hypothesis,
meet(X1,meet(X2,join(meet(X1,X3),X2))) = meet(X2,meet(X1,join(X3,X2))),
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_71,c_0_49]),c_0_21]),c_0_72]),c_0_73]),c_0_31]),c_0_21]),c_0_14]),c_0_49]),c_0_73]) ).
cnf(c_0_77,plain,
join(X1,meet(X2,meet(X3,join(X1,X2)))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_31]),c_0_21]),c_0_71]) ).
cnf(c_0_78,plain,
join(X1,meet(X2,join(X1,X2))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_79,plain,
join(meet(X1,X2),join(X3,meet(X1,join(X2,X4)))) = join(X3,meet(X1,join(X2,X4))),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_80,plain,
join(meet(X1,X2),meet(X3,join(X1,X3))) = join(X3,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_49]) ).
cnf(c_0_81,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_82,hypothesis,
join(meet(X1,X2),meet(X2,meet(X3,join(X1,X2)))) = meet(X2,meet(join(X1,X2),join(X3,meet(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_74]),c_0_76]) ).
cnf(c_0_83,plain,
join(X1,meet(X2,meet(join(X1,X2),X3))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_21]),c_0_39]),c_0_77]),c_0_21]) ).
cnf(c_0_84,plain,
meet(X1,meet(X2,join(X1,X2))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_27,c_0_69]) ).
cnf(c_0_85,hypothesis,
meet(join(X1,X2),join(X3,join(X1,X2))) = join(X1,join(X2,meet(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_69]),c_0_80]),c_0_18]) ).
cnf(c_0_86,plain,
join(X1,join(X2,join(X1,X3))) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_81]),c_0_18]),c_0_18]) ).
cnf(c_0_87,hypothesis,
join(X1,meet(X2,join(X3,meet(X1,X2)))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_82]),c_0_83]),c_0_77]) ).
cnf(c_0_88,hypothesis,
meet(X1,meet(join(X1,X2),join(X2,X3))) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_56,c_0_14]) ).
cnf(c_0_89,hypothesis,
meet(X1,join(X2,join(X3,meet(X1,X2)))) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,hypothesis,
join(X1,join(X2,meet(X1,join(X3,X1)))) = join(X2,meet(X1,join(X3,X1))),
inference(spm,[status(thm)],[c_0_86,c_0_69]) ).
cnf(c_0_91,hypothesis,
join(X1,meet(X2,join(meet(X2,X1),X3))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_87,c_0_61]) ).
cnf(c_0_92,plain,
join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))) = meet(X1,join(meet(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
cnf(c_0_93,plain,
meet(join(X1,X2),meet(join(X1,meet(X2,X3)),X4)) = meet(join(X1,meet(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_94,hypothesis,
meet(X1,join(X2,meet(X3,join(X1,X3)))) = meet(X1,join(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_88]),c_0_11]),c_0_90]) ).
cnf(c_0_95,hypothesis,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_31]),c_0_92]) ).
cnf(c_0_96,hypothesis,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_39]),c_0_67]) ).
cnf(c_0_97,plain,
meet(join(X1,meet(X2,X3)),meet(X4,meet(X5,join(X1,X2)))) = meet(X5,meet(join(X1,meet(X2,X3)),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_93]),c_0_21]) ).
cnf(c_0_98,hypothesis,
meet(X1,join(X2,meet(X3,join(X3,X1)))) = meet(X1,join(X3,X2)),
inference(spm,[status(thm)],[c_0_94,c_0_14]) ).
cnf(c_0_99,hypothesis,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(meet(X1,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_95]),c_0_96]) ).
cnf(c_0_100,plain,
meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X2,meet(X1,join(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_72]),c_0_21]),c_0_97]),c_0_31]),c_0_11]) ).
cnf(c_0_101,plain,
meet(join(X1,X2),join(X1,meet(join(X1,X2),X3))) = join(X1,meet(join(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_102,hypothesis,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_21]),c_0_11]),c_0_84]) ).
cnf(c_0_103,plain,
meet(join(X1,X2),join(X2,meet(join(X1,X2),X3))) = join(X2,meet(join(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_81]) ).
cnf(c_0_104,plain,
meet(X1,join(X2,meet(join(X2,X3),X1))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_36]),c_0_39]) ).
cnf(c_0_105,hypothesis,
join(meet(X1,X2),meet(X3,join(X2,meet(X3,X1)))) = meet(join(X1,X2),join(X3,meet(join(X2,X3),X1))),
inference(rw,[status(thm)],[c_0_23,c_0_102]) ).
cnf(c_0_106,plain,
join(X1,meet(X2,meet(join(X2,X1),X3))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_77,c_0_57]) ).
cnf(c_0_107,plain,
meet(X1,join(X2,meet(join(X3,X2),X1))) = meet(X1,join(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_103]),c_0_81]),c_0_39]) ).
cnf(c_0_108,hypothesis,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_96]),c_0_21]),c_0_73]),c_0_77]) ).
cnf(c_0_109,plain,
meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_104]),c_0_48]),c_0_49]),c_0_64]) ).
cnf(c_0_110,hypothesis,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_105]),c_0_106]),c_0_107]),c_0_100]),c_0_77]) ).
cnf(c_0_111,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
prove_distributivity ).
cnf(c_0_112,hypothesis,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(meet(X3,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_96]),c_0_108]) ).
cnf(c_0_113,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
meet(a,join(c,meet(a,b))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_95]),c_0_14]) ).
cnf(c_0_115,hypothesis,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,meet(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_102]),c_0_102]) ).
cnf(c_0_116,plain,
meet(X1,join(X2,meet(X1,join(X3,X2)))) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_104,c_0_57]) ).
cnf(c_0_117,hypothesis,
join(X1,meet(X2,join(X3,X1))) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[c_0_87,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT020-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n027.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 : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 11:23:15 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.OhL6HPdAQQ/E---3.1_18136.p
% 39.08/5.39 # Version: 3.1pre001
% 39.08/5.39 # Preprocessing class: FSSSSMSSSSSNFFN.
% 39.08/5.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.08/5.39 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 39.08/5.39 # Starting new_bool_3 with 300s (1) cores
% 39.08/5.39 # Starting new_bool_1 with 300s (1) cores
% 39.08/5.39 # Starting sh5l with 300s (1) cores
% 39.08/5.39 # new_bool_1 with pid 18216 completed with status 0
% 39.08/5.39 # Result found by new_bool_1
% 39.08/5.39 # Preprocessing class: FSSSSMSSSSSNFFN.
% 39.08/5.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.08/5.39 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 39.08/5.39 # Starting new_bool_3 with 300s (1) cores
% 39.08/5.39 # Starting new_bool_1 with 300s (1) cores
% 39.08/5.39 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 39.08/5.39 # Search class: FUUPM-FFSF22-MFFFFFNN
% 39.08/5.39 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 39.08/5.39 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 39.08/5.39 # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 18221 completed with status 0
% 39.08/5.39 # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 39.08/5.39 # Preprocessing class: FSSSSMSSSSSNFFN.
% 39.08/5.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.08/5.39 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 39.08/5.39 # Starting new_bool_3 with 300s (1) cores
% 39.08/5.39 # Starting new_bool_1 with 300s (1) cores
% 39.08/5.39 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 39.08/5.39 # Search class: FUUPM-FFSF22-MFFFFFNN
% 39.08/5.39 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 39.08/5.39 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 39.08/5.39 # Preprocessing time : 0.001 s
% 39.08/5.39 # Presaturation interreduction done
% 39.08/5.39
% 39.08/5.39 # Proof found!
% 39.08/5.39 # SZS status Unsatisfiable
% 39.08/5.39 # SZS output start CNFRefutation
% See solution above
% 39.08/5.39 # Parsed axioms : 10
% 39.08/5.39 # Removed by relevancy pruning/SinE : 0
% 39.08/5.39 # Initial clauses : 10
% 39.08/5.39 # Removed in clause preprocessing : 0
% 39.08/5.39 # Initial clauses in saturation : 10
% 39.08/5.39 # Processed clauses : 3392
% 39.08/5.39 # ...of these trivial : 888
% 39.08/5.39 # ...subsumed : 2121
% 39.08/5.39 # ...remaining for further processing : 383
% 39.08/5.39 # Other redundant clauses eliminated : 0
% 39.08/5.39 # Clauses deleted for lack of memory : 0
% 39.08/5.39 # Backward-subsumed : 0
% 39.08/5.39 # Backward-rewritten : 106
% 39.08/5.39 # Generated clauses : 204425
% 39.08/5.39 # ...of the previous two non-redundant : 175233
% 39.08/5.39 # ...aggressively subsumed : 0
% 39.08/5.39 # Contextual simplify-reflections : 0
% 39.08/5.39 # Paramodulations : 204425
% 39.08/5.39 # Factorizations : 0
% 39.08/5.39 # NegExts : 0
% 39.08/5.39 # Equation resolutions : 0
% 39.08/5.39 # Total rewrite steps : 473680
% 39.08/5.39 # Propositional unsat checks : 0
% 39.08/5.39 # Propositional check models : 0
% 39.08/5.39 # Propositional check unsatisfiable : 0
% 39.08/5.39 # Propositional clauses : 0
% 39.08/5.39 # Propositional clauses after purity: 0
% 39.08/5.39 # Propositional unsat core size : 0
% 39.08/5.39 # Propositional preprocessing time : 0.000
% 39.08/5.39 # Propositional encoding time : 0.000
% 39.08/5.39 # Propositional solver time : 0.000
% 39.08/5.39 # Success case prop preproc time : 0.000
% 39.08/5.39 # Success case prop encoding time : 0.000
% 39.08/5.39 # Success case prop solver time : 0.000
% 39.08/5.39 # Current number of processed clauses : 267
% 39.08/5.39 # Positive orientable unit clauses : 246
% 39.08/5.39 # Positive unorientable unit clauses: 21
% 39.08/5.39 # Negative unit clauses : 0
% 39.08/5.39 # Non-unit-clauses : 0
% 39.08/5.39 # Current number of unprocessed clauses: 171715
% 39.08/5.39 # ...number of literals in the above : 171715
% 39.08/5.39 # Current number of archived formulas : 0
% 39.08/5.39 # Current number of archived clauses : 116
% 39.08/5.39 # Clause-clause subsumption calls (NU) : 0
% 39.08/5.39 # Rec. Clause-clause subsumption calls : 0
% 39.08/5.39 # Non-unit clause-clause subsumptions : 0
% 39.08/5.39 # Unit Clause-clause subsumption calls : 1416
% 39.08/5.39 # Rewrite failures with RHS unbound : 0
% 39.08/5.39 # BW rewrite match attempts : 6986
% 39.08/5.39 # BW rewrite match successes : 490
% 39.08/5.39 # Condensation attempts : 0
% 39.08/5.39 # Condensation successes : 0
% 39.08/5.39 # Termbank termtop insertions : 4687042
% 39.08/5.39
% 39.08/5.39 # -------------------------------------------------
% 39.08/5.39 # User time : 4.677 s
% 39.08/5.39 # System time : 0.187 s
% 39.08/5.39 # Total time : 4.864 s
% 39.08/5.39 # Maximum resident set size: 1612 pages
% 39.08/5.39
% 39.08/5.39 # -------------------------------------------------
% 39.08/5.39 # User time : 4.677 s
% 39.08/5.39 # System time : 0.190 s
% 39.08/5.39 # Total time : 4.867 s
% 39.08/5.39 # Maximum resident set size: 1728 pages
% 39.08/5.39 % E---3.1 exiting
% 39.08/5.39 % E---3.1 exiting
%------------------------------------------------------------------------------