TSTP Solution File: REL025+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL025+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:13:38 EDT 2023
% Result : Theorem 3.15s 0.97s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 105 ( 102 unt; 0 def)
% Number of atoms : 108 ( 107 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 159 ( 8 sgn; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',converse_multiplicativity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',converse_idempotence) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',composition_identity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',converse_cancellativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',maddux2_join_associativity) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',maddux3_a_kind_of_de_Morgan) ).
fof(goals,conjecture,
! [X1] :
( join(X1,one) = one
=> converse(X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',goals) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',composition_distributivity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',converse_additivity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p',composition_associativity) ).
fof(c_0_11,plain,
! [X8,X9] : converse(composition(X8,X9)) = composition(converse(X9),converse(X8)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_12,plain,
! [X5] : converse(converse(X5)) = X5,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_13,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X12] : composition(X12,one) = X12,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_16,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X10,X11] : join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_19,plain,
! [X13,X14] : join(X13,X14) = join(X14,X13),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_20,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14]) ).
cnf(c_0_21,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
fof(c_0_24,plain,
! [X15,X16,X17] : join(X15,join(X16,X17)) = join(join(X15,X16),X17),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_25,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_23]) ).
fof(c_0_27,plain,
! [X24,X25] : X24 = join(complement(join(complement(X24),complement(X25))),complement(join(complement(X24),X25))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_0_28,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23]),c_0_26]) ).
cnf(c_0_30,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_30,c_0_22]) ).
cnf(c_0_33,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22]) ).
cnf(c_0_34,plain,
join(X1,complement(complement(X1))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_33]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( join(X1,one) = one
=> converse(X1) = X1 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_36,plain,
join(X1,join(complement(complement(X1)),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
fof(c_0_37,plain,
! [X21,X22,X23] : composition(join(X21,X22),X23) = join(composition(X21,X23),composition(X22,X23)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
fof(c_0_38,negated_conjecture,
( join(esk1_0,one) = one
& converse(esk1_0) != esk1_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
cnf(c_0_39,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_40,plain,
join(X1,complement(complement(complement(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_34]),c_0_34]) ).
cnf(c_0_41,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_42,plain,
! [X6,X7] : converse(join(X6,X7)) = join(converse(X6),converse(X7)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_43,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
complement(complement(complement(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_22]),c_0_34]) ).
cnf(c_0_45,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_46,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_43,c_0_22]) ).
cnf(c_0_48,plain,
join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
cnf(c_0_49,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_32]) ).
cnf(c_0_50,plain,
join(composition(join(one,X1),X2),X3) = join(X2,join(composition(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_28,c_0_45]) ).
cnf(c_0_51,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_46,c_0_16]) ).
cnf(c_0_52,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_41,c_0_13]) ).
cnf(c_0_53,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_47]) ).
cnf(c_0_54,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_32]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_26]) ).
cnf(c_0_56,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_46]),c_0_13]),c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_57,negated_conjecture,
join(one,complement(complement(esk1_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_47]) ).
cnf(c_0_58,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
join(X1,composition(esk1_0,join(X1,X2))) = join(X1,composition(esk1_0,X2)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_22]) ).
cnf(c_0_61,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_58,c_0_22]) ).
cnf(c_0_62,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_63,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_64,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_28]) ).
cnf(c_0_65,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_46,c_0_14]) ).
cnf(c_0_66,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_67,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_46,c_0_23]) ).
cnf(c_0_68,negated_conjecture,
join(X1,composition(esk1_0,complement(join(X2,X1)))) = join(X1,composition(esk1_0,complement(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_59]) ).
cnf(c_0_69,negated_conjecture,
join(esk1_0,complement(esk1_0)) = join(one,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_49]),c_0_22]),c_0_22]) ).
cnf(c_0_70,negated_conjecture,
join(one,complement(esk1_0)) = join(one,complement(one)),
inference(spm,[status(thm)],[c_0_61,c_0_47]) ).
cnf(c_0_71,plain,
join(X1,complement(join(X2,join(X3,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_62]) ).
cnf(c_0_72,plain,
join(X1,join(complement(X1),X2)) = join(X1,complement(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_63]),c_0_49]),c_0_22]),c_0_49]),c_0_64]) ).
cnf(c_0_73,plain,
join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_45]),c_0_66]),c_0_67]),c_0_66]) ).
fof(c_0_74,plain,
! [X18,X19,X20] : composition(X18,composition(X19,X20)) = composition(composition(X18,X19),X20),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_75,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,esk1_0)) = join(one,complement(one)),
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_68,c_0_60]),c_0_49]),c_0_49]),c_0_17]),c_0_22]),c_0_69]),c_0_70]) ).
cnf(c_0_76,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
inference(spm,[status(thm)],[c_0_73,c_0_14]) ).
cnf(c_0_78,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_47]),c_0_23]) ).
cnf(c_0_79,negated_conjecture,
join(X1,complement(join(X2,composition(esk1_0,X1)))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_55]) ).
cnf(c_0_80,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,negated_conjecture,
composition(esk1_0,esk1_0) = esk1_0,
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_58,c_0_75]),c_0_76]),c_0_49]),c_0_22]),c_0_77]),c_0_47]),c_0_17]) ).
cnf(c_0_82,negated_conjecture,
join(one,join(converse(esk1_0),X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
join(X1,complement(composition(esk1_0,X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_61,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
join(complement(one),join(X1,complement(esk1_0))) = join(X1,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
cnf(c_0_85,negated_conjecture,
composition(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_87,negated_conjecture,
join(one,complement(complement(converse(esk1_0)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_34]),c_0_78]) ).
cnf(c_0_88,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_83]),c_0_76]),c_0_22]) ).
cnf(c_0_89,plain,
join(X1,complement(composition(X1,join(one,X2)))) = join(X1,complement(composition(X1,X2))),
inference(spm,[status(thm)],[c_0_61,c_0_77]) ).
cnf(c_0_90,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_39,c_0_49]) ).
cnf(c_0_91,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,complement(one))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_55]),c_0_60]),c_0_22]) ).
cnf(c_0_92,negated_conjecture,
composition(esk1_0,join(X1,composition(esk1_0,X2))) = composition(esk1_0,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_85]),c_0_56]) ).
cnf(c_0_93,plain,
join(complement(one),composition(X1,complement(converse(X1)))) = complement(one),
inference(spm,[status(thm)],[c_0_86,c_0_14]) ).
cnf(c_0_94,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_87]),c_0_22]) ).
cnf(c_0_95,negated_conjecture,
join(X1,complement(composition(esk1_0,complement(X1)))) = complement(composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[c_0_88,c_0_49]) ).
cnf(c_0_96,negated_conjecture,
join(X1,complement(composition(X1,complement(esk1_0)))) = join(X1,complement(composition(X1,complement(one)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_83]),c_0_89]),c_0_17]) ).
cnf(c_0_97,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,complement(one)))) = complement(composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_49]),c_0_22]) ).
cnf(c_0_98,negated_conjecture,
composition(esk1_0,complement(converse(esk1_0))) = composition(esk1_0,complement(one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_99,negated_conjecture,
complement(composition(esk1_0,complement(esk1_0))) = complement(composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_100,negated_conjecture,
composition(converse(esk1_0),complement(composition(esk1_0,complement(one)))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_98]),c_0_49]),c_0_77]),c_0_95]),c_0_49]) ).
cnf(c_0_101,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_46,c_0_14]) ).
cnf(c_0_102,negated_conjecture,
join(esk1_0,converse(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_99]),c_0_49]),c_0_100]),c_0_49]) ).
cnf(c_0_103,negated_conjecture,
converse(esk1_0) != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_22]),c_0_102]),c_0_103]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : REL025+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 2400
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Oct 2 15:17:46 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.Z5FY5BkwLJ/E---3.1_3233.p
% 3.15/0.97 # Version: 3.1pre001
% 3.15/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 3.15/0.97 # Starting new_bool_1 with 300s (1) cores
% 3.15/0.97 # Starting sh5l with 300s (1) cores
% 3.15/0.97 # new_bool_3 with pid 3390 completed with status 0
% 3.15/0.97 # Result found by new_bool_3
% 3.15/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 3.15/0.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.15/0.97 # Search class: FUUPM-FFSF21-MFFFFFNN
% 3.15/0.97 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.15/0.97 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 3.15/0.97 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 3396 completed with status 0
% 3.15/0.97 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 3.15/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 3.15/0.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.15/0.97 # Search class: FUUPM-FFSF21-MFFFFFNN
% 3.15/0.97 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.15/0.97 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 3.15/0.97 # Preprocessing time : 0.001 s
% 3.15/0.97 # Presaturation interreduction done
% 3.15/0.97
% 3.15/0.97 # Proof found!
% 3.15/0.97 # SZS status Theorem
% 3.15/0.97 # SZS output start CNFRefutation
% See solution above
% 3.15/0.97 # Parsed axioms : 14
% 3.15/0.97 # Removed by relevancy pruning/SinE : 3
% 3.15/0.97 # Initial clauses : 12
% 3.15/0.97 # Removed in clause preprocessing : 0
% 3.15/0.97 # Initial clauses in saturation : 12
% 3.15/0.97 # Processed clauses : 3174
% 3.15/0.97 # ...of these trivial : 1654
% 3.15/0.97 # ...subsumed : 1042
% 3.15/0.97 # ...remaining for further processing : 478
% 3.15/0.97 # Other redundant clauses eliminated : 0
% 3.15/0.97 # Clauses deleted for lack of memory : 0
% 3.15/0.97 # Backward-subsumed : 1
% 3.15/0.97 # Backward-rewritten : 89
% 3.15/0.97 # Generated clauses : 53902
% 3.15/0.97 # ...of the previous two non-redundant : 34957
% 3.15/0.97 # ...aggressively subsumed : 0
% 3.15/0.97 # Contextual simplify-reflections : 0
% 3.15/0.97 # Paramodulations : 53902
% 3.15/0.97 # Factorizations : 0
% 3.15/0.97 # NegExts : 0
% 3.15/0.97 # Equation resolutions : 0
% 3.15/0.97 # Total rewrite steps : 103002
% 3.15/0.97 # Propositional unsat checks : 0
% 3.15/0.97 # Propositional check models : 0
% 3.15/0.97 # Propositional check unsatisfiable : 0
% 3.15/0.97 # Propositional clauses : 0
% 3.15/0.97 # Propositional clauses after purity: 0
% 3.15/0.97 # Propositional unsat core size : 0
% 3.15/0.97 # Propositional preprocessing time : 0.000
% 3.15/0.97 # Propositional encoding time : 0.000
% 3.15/0.97 # Propositional solver time : 0.000
% 3.15/0.97 # Success case prop preproc time : 0.000
% 3.15/0.97 # Success case prop encoding time : 0.000
% 3.15/0.97 # Success case prop solver time : 0.000
% 3.15/0.97 # Current number of processed clauses : 376
% 3.15/0.97 # Positive orientable unit clauses : 367
% 3.15/0.97 # Positive unorientable unit clauses: 8
% 3.15/0.97 # Negative unit clauses : 1
% 3.15/0.97 # Non-unit-clauses : 0
% 3.15/0.97 # Current number of unprocessed clauses: 31448
% 3.15/0.97 # ...number of literals in the above : 31448
% 3.15/0.97 # Current number of archived formulas : 0
% 3.15/0.97 # Current number of archived clauses : 102
% 3.15/0.97 # Clause-clause subsumption calls (NU) : 0
% 3.15/0.97 # Rec. Clause-clause subsumption calls : 0
% 3.15/0.97 # Non-unit clause-clause subsumptions : 0
% 3.15/0.97 # Unit Clause-clause subsumption calls : 108
% 3.15/0.97 # Rewrite failures with RHS unbound : 36
% 3.15/0.97 # BW rewrite match attempts : 2336
% 3.15/0.97 # BW rewrite match successes : 168
% 3.15/0.97 # Condensation attempts : 0
% 3.15/0.97 # Condensation successes : 0
% 3.15/0.97 # Termbank termtop insertions : 820537
% 3.15/0.97
% 3.15/0.97 # -------------------------------------------------
% 3.15/0.97 # User time : 0.410 s
% 3.15/0.97 # System time : 0.017 s
% 3.15/0.97 # Total time : 0.427 s
% 3.15/0.97 # Maximum resident set size: 1760 pages
% 3.15/0.97
% 3.15/0.97 # -------------------------------------------------
% 3.15/0.97 # User time : 0.411 s
% 3.15/0.97 # System time : 0.019 s
% 3.15/0.97 # Total time : 0.431 s
% 3.15/0.97 # Maximum resident set size: 1680 pages
% 3.15/0.97 % E---3.1 exiting
% 3.15/0.97 % E---3.1 exiting
%------------------------------------------------------------------------------