TSTP Solution File: LCL084-10 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL084-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 May 20 23:44:54 EDT 2024
% Result : Unsatisfiable 191.73s 24.65s
% Output : CNFRefutation 191.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of clauses : 109 ( 109 unt; 0 nHn; 4 RR)
% Number of literals : 109 ( 108 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 382 ( 130 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_1,axiom,
is_a_theorem(implies(X1,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_1) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(prove_ic_4,negated_conjecture,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).
cnf(c_0_5,axiom,
ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
condensed_detachment ).
cnf(c_0_6,axiom,
is_a_theorem(implies(X1,X1)) = true,
ic_1 ).
cnf(c_0_7,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_8,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))) = true,
ic_JLukasiewicz ).
cnf(c_0_9,plain,
ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_10,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(X3,X1),implies(X4,X1))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_7]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_7]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_7]) ).
cnf(c_0_13,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1))),X5)),true,is_a_theorem(X5),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_7]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_7]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_7]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_7]) ).
cnf(c_0_17,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_11]),c_0_7]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_16]),c_0_7]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_7]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_19]),c_0_7]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_20]),c_0_7]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X3,X5))),implies(X6,implies(X4,implies(X3,X5))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_14]),c_0_7]) ).
cnf(c_0_23,plain,
ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_21]),c_0_7]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_22]),c_0_7]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_7]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_24]),c_0_7]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_7]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_26]),c_0_7]) ).
cnf(c_0_29,plain,
ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X1,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_27]),c_0_7]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_28]),c_0_7]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_7]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(X5,implies(implies(implies(X1,X2),X3),implies(X4,X3))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_31]),c_0_7]) ).
cnf(c_0_33,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),X3),X2)),true,is_a_theorem(implies(X1,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_16]),c_0_7]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),implies(X4,X3))),implies(implies(implies(X1,X2),X3),implies(X4,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_7]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(X1,implies(X2,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_11]),c_0_7]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_34]),c_0_7]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_35]),c_0_7]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)),implies(X5,implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_36]),c_0_7]) ).
cnf(c_0_39,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X5)),true,is_a_theorem(X5),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_37]),c_0_7]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4)),implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_7]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X3)),X2),X4),implies(implies(X1,implies(X2,X3)),X2)),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_7]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X2,implies(X1,X3)),X1),X4)),implies(X5,implies(implies(implies(X2,implies(X1,X3)),X1),X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_41]),c_0_7]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X2,implies(X1,X3)),X1),X4)),implies(implies(implies(X2,implies(X1,X3)),X1),X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_42]),c_0_7]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),implies(implies(X2,X3),X2)),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_43]),c_0_7]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X1,X3),X1),X4))),implies(X5,implies(X2,implies(implies(implies(X1,X3),X1),X4))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_44]),c_0_7]) ).
cnf(c_0_46,plain,
ifeq(is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_28]),c_0_7]) ).
cnf(c_0_47,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X1,X3),X1),X4))),implies(X2,implies(implies(implies(X1,X3),X1),X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_45]),c_0_7]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_7]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),implies(X4,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_48]),c_0_7]) ).
cnf(c_0_50,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_21]),c_0_7]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X5,implies(X1,X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_49]),c_0_7]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_7]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_7]) ).
cnf(c_0_54,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_52]),c_0_7]) ).
cnf(c_0_55,plain,
ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(implies(X1,X3),X1),X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_48]),c_0_7]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_53]),c_0_7]) ).
cnf(c_0_57,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X5,implies(X3,X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_54]),c_0_7]) ).
cnf(c_0_58,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X3),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_7]) ).
cnf(c_0_59,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X3,X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_57]),c_0_7]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X4,implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_58]),c_0_7]) ).
cnf(c_0_61,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X4,X1))),implies(X5,implies(X3,implies(X4,X1))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_59]),c_0_7]) ).
cnf(c_0_62,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X2),implies(X1,X3)),implies(X1,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_60]),c_0_7]) ).
cnf(c_0_63,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_61]),c_0_7]) ).
cnf(c_0_64,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_7]) ).
cnf(c_0_65,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),X3),X1),implies(X4,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_56]),c_0_7]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(X4,implies(implies(X1,X3),X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_62]),c_0_7]) ).
cnf(c_0_67,plain,
ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X4,X1)))),X5)),true,is_a_theorem(X5),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_63]),c_0_7]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_64]),c_0_7]) ).
cnf(c_0_69,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),X3),X1),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_65]),c_0_7]) ).
cnf(c_0_70,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X3),X3)),implies(implies(X1,X3),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_66]),c_0_7]) ).
cnf(c_0_71,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_26]),c_0_7]) ).
cnf(c_0_72,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),X4))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_62]),c_0_7]) ).
cnf(c_0_73,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_54]),c_0_7]) ).
cnf(c_0_74,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_68]),c_0_7]) ).
cnf(c_0_75,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),X3)),implies(X4,implies(implies(implies(X1,X2),X3),X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_69]),c_0_7]) ).
cnf(c_0_76,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),implies(implies(X1,X3),X3))),true,is_a_theorem(implies(implies(X1,X3),X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_70]),c_0_7]) ).
cnf(c_0_77,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(implies(X4,X1),X5),X5))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_7]) ).
cnf(c_0_78,plain,
ifeq(is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X1))),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_73]),c_0_7]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_74]),c_0_7]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X3),X3)),implies(implies(implies(X1,X2),X3),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_75]),c_0_7]) ).
cnf(c_0_81,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(implies(implies(X3,implies(X1,X4)),X5),X5))),implies(X2,implies(implies(implies(X3,implies(X1,X4)),X5),X5)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_7]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X4),X3),implies(X1,implies(X2,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_7]) ).
cnf(c_0_83,plain,
ifeq(is_a_theorem(implies(X1,implies(implies(implies(X1,X2),X3),X3))),true,is_a_theorem(implies(implies(implies(X1,X2),X3),X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_80]),c_0_7]) ).
cnf(c_0_84,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,implies(X1,X4)),X2),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_81]),c_0_7]) ).
cnf(c_0_85,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)),true,is_a_theorem(implies(X1,implies(X2,X3))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_82]),c_0_7]) ).
cnf(c_0_86,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X1,X3)),X2),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_7]) ).
cnf(c_0_87,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),implies(X5,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_73]),c_0_7]) ).
cnf(c_0_88,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X1,X3))),true,is_a_theorem(implies(X1,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_62]),c_0_7]) ).
cnf(c_0_89,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_49]),c_0_7]) ).
cnf(c_0_90,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X1),implies(X2,X3))),implies(X4,implies(implies(X2,X1),implies(X2,X3))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_86]),c_0_7]) ).
cnf(c_0_91,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),X3),X3)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_87]),c_0_7]) ).
cnf(c_0_92,plain,
ifeq(is_a_theorem(implies(X1,implies(X2,implies(X1,X3)))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_74]),c_0_7]) ).
cnf(c_0_93,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_7]) ).
cnf(c_0_94,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X1),implies(X2,X3))),implies(implies(X2,X1),implies(X2,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_90]),c_0_7]) ).
cnf(c_0_95,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X1,X4)),implies(X1,X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_51]),c_0_7]) ).
cnf(c_0_96,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X2,implies(X3,implies(X1,X4)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_91]),c_0_7]) ).
cnf(c_0_97,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_7]) ).
cnf(c_0_98,plain,
ifeq(is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X2,X3)))),true,is_a_theorem(implies(implies(X2,X1),implies(X2,X3))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_94]),c_0_7]) ).
cnf(c_0_99,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X1,X4),implies(X5,X4)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_95]),c_0_7]) ).
cnf(c_0_100,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(X3,implies(X1,X4)))),implies(X2,implies(X3,implies(X1,X4))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_96]),c_0_7]) ).
cnf(c_0_101,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_97]),c_0_7]) ).
cnf(c_0_102,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,implies(implies(X2,X3),implies(X4,X3))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_7]) ).
cnf(c_0_103,negated_conjecture,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) != true,
inference(fof_simplification,[status(thm)],[prove_ic_4]) ).
cnf(c_0_104,plain,
ifeq(is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X1,X4))))),true,is_a_theorem(implies(X2,implies(X3,implies(X1,X4)))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_100]),c_0_7]) ).
cnf(c_0_105,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_7]) ).
cnf(c_0_106,negated_conjecture,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) != true,
c_0_103 ).
cnf(c_0_107,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_7]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL084-10 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 03:09:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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/benchmark/theBenchmark.p
% 191.73/24.65 # Version: 3.1.0
% 191.73/24.65 # Preprocessing class: FSSSSMSSSSSNFFN.
% 191.73/24.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 191.73/24.65 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 191.73/24.65 # Starting new_bool_3 with 300s (1) cores
% 191.73/24.65 # Starting new_bool_1 with 300s (1) cores
% 191.73/24.65 # Starting sh5l with 300s (1) cores
% 191.73/24.65 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 10809 completed with status 0
% 191.73/24.65 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 191.73/24.65 # Preprocessing class: FSSSSMSSSSSNFFN.
% 191.73/24.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 191.73/24.65 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 191.73/24.65 # No SInE strategy applied
% 191.73/24.65 # Search class: FUUPM-FFSF32-MFFFFFNN
% 191.73/24.65 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 191.73/24.65 # Starting G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with 811s (1) cores
% 191.73/24.65 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 191.73/24.65 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 191.73/24.65 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 191.73/24.65 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 191.73/24.65 # U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 10820 completed with status 0
% 191.73/24.65 # Result found by U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 191.73/24.65 # Preprocessing class: FSSSSMSSSSSNFFN.
% 191.73/24.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 191.73/24.65 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 191.73/24.65 # No SInE strategy applied
% 191.73/24.65 # Search class: FUUPM-FFSF32-MFFFFFNN
% 191.73/24.65 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 191.73/24.65 # Starting G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with 811s (1) cores
% 191.73/24.65 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 191.73/24.65 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 191.73/24.65 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 191.73/24.65 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 191.73/24.65 # Preprocessing time : 0.001 s
% 191.73/24.65 # Presaturation interreduction done
% 191.73/24.65
% 191.73/24.65 # Proof found!
% 191.73/24.65 # SZS status Unsatisfiable
% 191.73/24.65 # SZS output start CNFRefutation
% See solution above
% 191.73/24.65 # Parsed axioms : 5
% 191.73/24.65 # Removed by relevancy pruning/SinE : 0
% 191.73/24.65 # Initial clauses : 5
% 191.73/24.65 # Removed in clause preprocessing : 0
% 191.73/24.65 # Initial clauses in saturation : 5
% 191.73/24.65 # Processed clauses : 4872
% 191.73/24.65 # ...of these trivial : 2111
% 191.73/24.65 # ...subsumed : 0
% 191.73/24.65 # ...remaining for further processing : 2761
% 191.73/24.65 # Other redundant clauses eliminated : 0
% 191.73/24.65 # Clauses deleted for lack of memory : 0
% 191.73/24.65 # Backward-subsumed : 0
% 191.73/24.65 # Backward-rewritten : 66
% 191.73/24.65 # Generated clauses : 1103133
% 191.73/24.65 # ...of the previous two non-redundant : 111958
% 191.73/24.65 # ...aggressively subsumed : 0
% 191.73/24.65 # Contextual simplify-reflections : 0
% 191.73/24.65 # Paramodulations : 1103133
% 191.73/24.65 # Factorizations : 0
% 191.73/24.65 # NegExts : 0
% 191.73/24.65 # Equation resolutions : 0
% 191.73/24.65 # Disequality decompositions : 0
% 191.73/24.65 # Total rewrite steps : 1528349
% 191.73/24.65 # ...of those cached : 875009
% 191.73/24.65 # Propositional unsat checks : 0
% 191.73/24.65 # Propositional check models : 0
% 191.73/24.65 # Propositional check unsatisfiable : 0
% 191.73/24.65 # Propositional clauses : 0
% 191.73/24.65 # Propositional clauses after purity: 0
% 191.73/24.65 # Propositional unsat core size : 0
% 191.73/24.65 # Propositional preprocessing time : 0.000
% 191.73/24.65 # Propositional encoding time : 0.000
% 191.73/24.65 # Propositional solver time : 0.000
% 191.73/24.65 # Success case prop preproc time : 0.000
% 191.73/24.65 # Success case prop encoding time : 0.000
% 191.73/24.65 # Success case prop solver time : 0.000
% 191.73/24.65 # Current number of processed clauses : 2690
% 191.73/24.65 # Positive orientable unit clauses : 2690
% 191.73/24.65 # Positive unorientable unit clauses: 0
% 191.73/24.65 # Negative unit clauses : 0
% 191.73/24.65 # Non-unit-clauses : 0
% 191.73/24.65 # Current number of unprocessed clauses: 106912
% 191.73/24.65 # ...number of literals in the above : 106912
% 191.73/24.65 # Current number of archived formulas : 0
% 191.73/24.65 # Current number of archived clauses : 71
% 191.73/24.65 # Clause-clause subsumption calls (NU) : 0
% 191.73/24.65 # Rec. Clause-clause subsumption calls : 0
% 191.73/24.65 # Non-unit clause-clause subsumptions : 0
% 191.73/24.65 # Unit Clause-clause subsumption calls : 0
% 191.73/24.65 # Rewrite failures with RHS unbound : 0
% 191.73/24.65 # BW rewrite match attempts : 1898752
% 191.73/24.65 # BW rewrite match successes : 66
% 191.73/24.65 # Condensation attempts : 0
% 191.73/24.65 # Condensation successes : 0
% 191.73/24.65 # Termbank termtop insertions : 22431127
% 191.73/24.65 # Search garbage collected termcells : 2
% 191.73/24.65
% 191.73/24.65 # -------------------------------------------------
% 191.73/24.65 # User time : 23.556 s
% 191.73/24.65 # System time : 0.418 s
% 191.73/24.65 # Total time : 23.974 s
% 191.73/24.65 # Maximum resident set size: 1548 pages
% 191.73/24.65
% 191.73/24.65 # -------------------------------------------------
% 191.73/24.65 # User time : 117.176 s
% 191.73/24.65 # System time : 2.123 s
% 191.73/24.65 # Total time : 119.298 s
% 191.73/24.65 # Maximum resident set size: 1684 pages
% 191.73/24.65 % E---3.1 exiting
% 191.73/24.65 % E exiting
%------------------------------------------------------------------------------