TSTP Solution File: REL044+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : REL044+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Sat May 4 09:13:53 EDT 2024
% Result : Theorem 93.57s 12.34s
% Output : CNFRefutation 93.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 111 ( 108 unt; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 185 ( 14 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',maddux3_a_kind_of_de_Morgan) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',maddux1_join_commutativity) ).
fof(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',def_zero) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',maddux4_definiton_of_meet) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',maddux2_join_associativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',converse_additivity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',converse_idempotence) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',converse_multiplicativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',composition_distributivity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',converse_cancellativity) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( join(composition(complement(X1),X2),complement(X3)) = complement(X3)
=> join(composition(X3,converse(X2)),X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.M1ixnutWAj/E---3.1_5360.p',goals) ).
fof(c_0_11,plain,
! [X12,X13] : X12 = join(complement(join(complement(X12),complement(X13))),complement(join(complement(X12),X13))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_12,plain,
! [X7,X8] : join(X7,X8) = join(X8,X7),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_13,plain,
! [X29] : zero = meet(X29,complement(X29)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_14,plain,
! [X14,X15] : meet(X14,X15) = complement(join(complement(X14),complement(X15))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_15,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_21,plain,
! [X9,X10,X11] : join(X9,join(X10,X11)) = join(join(X9,X10),X11),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_22,plain,
join(zero,complement(join(complement(X1),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).
cnf(c_0_23,plain,
complement(join(zero,complement(zero))) = zero,
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_24,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
join(zero,complement(join(zero,zero))) = join(zero,complement(zero)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_24]) ).
cnf(c_0_27,plain,
join(zero,join(complement(join(zero,zero)),X1)) = join(zero,join(complement(zero),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_24]) ).
cnf(c_0_28,plain,
join(zero,join(X1,complement(join(complement(X2),complement(X2))))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_29,plain,
join(complement(join(zero,zero)),X1) = join(complement(zero),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).
cnf(c_0_30,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_29]),c_0_29]),c_0_19]) ).
cnf(c_0_31,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_32,plain,
join(zero,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_22]) ).
cnf(c_0_33,plain,
complement(join(complement(X1),complement(X1))) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_34,plain,
join(complement(X1),complement(complement(X1))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_25]) ).
cnf(c_0_35,plain,
join(complement(X1),complement(X1)) = complement(join(X1,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_33]) ).
cnf(c_0_36,plain,
join(complement(X1),complement(complement(X1))) = complement(zero),
inference(rw,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_37,plain,
complement(complement(join(X1,X1))) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_38,plain,
join(X1,complement(X1)) = complement(zero),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
join(X1,join(complement(X1),X2)) = join(complement(zero),X2),
inference(spm,[status(thm)],[c_0_24,c_0_38]) ).
cnf(c_0_40,plain,
join(X1,complement(join(X1,X1))) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_16]) ).
cnf(c_0_41,plain,
join(complement(zero),complement(X1)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_40]) ).
cnf(c_0_42,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_43,plain,
join(complement(zero),X1) = complement(zero),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_44,plain,
join(X1,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).
cnf(c_0_45,plain,
complement(complement(zero)) = zero,
inference(rw,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_46,plain,
complement(complement(X1)) = 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_19,c_0_44]),c_0_45]),c_0_45]),c_0_16]),c_0_32]),c_0_32]) ).
cnf(c_0_47,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_48,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_47]),c_0_24]),c_0_47]) ).
cnf(c_0_49,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_19]),c_0_16]) ).
cnf(c_0_50,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_47]) ).
fof(c_0_51,plain,
! [X19,X20] : converse(join(X19,X20)) = join(converse(X19),converse(X20)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
fof(c_0_52,plain,
! [X28] : converse(converse(X28)) = X28,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_53,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_56,plain,
! [X26,X27] : converse(composition(X26,X27)) = composition(converse(X27),converse(X26)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
cnf(c_0_57,plain,
join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_24,c_0_53]) ).
cnf(c_0_58,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_60,plain,
! [X16,X17,X18] : composition(join(X16,X17),X18) = join(composition(X16,X18),composition(X17,X18)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_61,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_19]),c_0_46]) ).
cnf(c_0_62,plain,
join(X1,join(X2,complement(join(X1,X2)))) = complement(zero),
inference(spm,[status(thm)],[c_0_24,c_0_38]) ).
cnf(c_0_63,plain,
join(X1,converse(complement(converse(X1)))) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_58,c_0_38]) ).
cnf(c_0_64,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_65,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_61,c_0_46]) ).
cnf(c_0_67,plain,
join(X1,join(X2,complement(join(X2,X1)))) = complement(zero),
inference(spm,[status(thm)],[c_0_26,c_0_62]) ).
cnf(c_0_68,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_69,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_53,c_0_46]) ).
cnf(c_0_70,plain,
converse(complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_71,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_54,c_0_64]) ).
cnf(c_0_72,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
fof(c_0_73,plain,
! [X21,X22] : join(composition(converse(X21),complement(composition(X21,X22))),complement(X22)) = complement(X22),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_74,negated_conjecture,
~ ! [X1,X2,X3] :
( join(composition(complement(X1),X2),complement(X3)) = complement(X3)
=> join(composition(X3,converse(X2)),X1) = X1 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_75,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
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_66,c_0_67]),c_0_46]),c_0_68]),c_0_24]),c_0_16]),c_0_69]) ).
cnf(c_0_76,plain,
join(X1,converse(complement(converse(X1)))) = complement(zero),
inference(rw,[status(thm)],[c_0_63,c_0_70]) ).
cnf(c_0_77,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_71,c_0_72]),c_0_54]),c_0_59]),c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_78,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_79,negated_conjecture,
( join(composition(complement(esk1_0),esk2_0),complement(esk3_0)) = complement(esk3_0)
& join(composition(esk3_0,converse(esk2_0)),esk1_0) != esk1_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])]) ).
cnf(c_0_80,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_46]),c_0_68]) ).
cnf(c_0_81,plain,
join(composition(X1,X2),join(X3,composition(X1,X4))) = join(X3,composition(X1,join(X4,X2))),
inference(spm,[status(thm)],[c_0_42,c_0_77]) ).
cnf(c_0_82,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_78,c_0_16]) ).
cnf(c_0_83,negated_conjecture,
join(composition(complement(esk1_0),esk2_0),complement(esk3_0)) = complement(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_80]),c_0_55]),c_0_55]) ).
cnf(c_0_85,plain,
join(complement(X1),composition(converse(X2),join(complement(composition(X2,X1)),X3))) = join(composition(converse(X2),X3),complement(X1)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
join(complement(esk3_0),composition(complement(esk1_0),esk2_0)) = complement(esk3_0),
inference(rw,[status(thm)],[c_0_83,c_0_16]) ).
cnf(c_0_87,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_84,c_0_46]) ).
cnf(c_0_88,plain,
join(complement(X1),composition(converse(X2),complement(join(composition(X2,X1),X3)))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_49]),c_0_82]),c_0_46]),c_0_16]) ).
cnf(c_0_89,plain,
join(X1,composition(converse(X2),complement(composition(X2,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_82,c_0_46]) ).
cnf(c_0_90,negated_conjecture,
join(complement(esk3_0),join(composition(complement(esk1_0),esk2_0),X1)) = join(complement(esk3_0),X1),
inference(spm,[status(thm)],[c_0_24,c_0_86]) ).
cnf(c_0_91,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_87]),c_0_46]),c_0_16]),c_0_80]) ).
cnf(c_0_92,plain,
join(X1,composition(converse(X2),complement(join(composition(X2,complement(X1)),X3)))) = X1,
inference(spm,[status(thm)],[c_0_88,c_0_46]) ).
cnf(c_0_93,plain,
join(X1,join(X2,composition(converse(X3),complement(composition(X3,complement(X1)))))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
join(complement(esk3_0),composition(complement(esk1_0),join(esk2_0,X1))) = join(complement(esk3_0),composition(complement(esk1_0),X1)),
inference(spm,[status(thm)],[c_0_90,c_0_77]) ).
cnf(c_0_95,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_46,c_0_91]) ).
cnf(c_0_96,plain,
join(X1,composition(converse(X2),complement(join(X3,composition(X2,complement(X1)))))) = X1,
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
join(complement(esk3_0),composition(complement(esk1_0),complement(join(complement(esk2_0),X1)))) = complement(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_49]),c_0_86]) ).
cnf(c_0_98,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_55,c_0_95]) ).
cnf(c_0_99,plain,
join(converse(X1),join(converse(X2),X3)) = join(converse(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_24,c_0_54]) ).
cnf(c_0_100,plain,
join(X1,join(X2,complement(join(complement(X1),X3)))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_101,plain,
join(X1,join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_24,c_0_89]) ).
cnf(c_0_102,negated_conjecture,
join(complement(esk2_0),join(X1,composition(complement(converse(esk1_0)),esk3_0))) = join(complement(esk2_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_46]),c_0_24]) ).
cnf(c_0_103,plain,
join(converse(join(X1,X2)),complement(join(complement(converse(X1)),X3))) = converse(join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_54]) ).
cnf(c_0_104,negated_conjecture,
join(complement(esk2_0),composition(complement(converse(esk1_0)),esk3_0)) = complement(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_46]),c_0_82]) ).
cnf(c_0_105,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_106,plain,
converse(join(composition(complement(converse(X1)),X2),X3)) = join(composition(converse(X2),complement(X1)),converse(X3)),
inference(spm,[status(thm)],[c_0_71,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
join(composition(esk3_0,converse(esk2_0)),esk1_0) != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_108,negated_conjecture,
join(complement(converse(esk2_0)),composition(converse(esk3_0),complement(esk1_0))) = complement(converse(esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_98]),c_0_98]),c_0_46]),c_0_105]),c_0_106]),c_0_98]),c_0_16]) ).
cnf(c_0_109,negated_conjecture,
join(esk1_0,composition(esk3_0,converse(esk2_0))) != esk1_0,
inference(rw,[status(thm)],[c_0_107,c_0_16]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_108]),c_0_55]),c_0_46]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL044+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 09:41:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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.M1ixnutWAj/E---3.1_5360.p
% 93.57/12.34 # Version: 3.1.0
% 93.57/12.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 93.57/12.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 93.57/12.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 93.57/12.34 # Starting new_bool_3 with 300s (1) cores
% 93.57/12.34 # Starting new_bool_1 with 300s (1) cores
% 93.57/12.34 # Starting sh5l with 300s (1) cores
% 93.57/12.34 # sh5l with pid 5472 completed with status 0
% 93.57/12.34 # Result found by sh5l
% 93.57/12.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 93.57/12.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 93.57/12.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 93.57/12.34 # Starting new_bool_3 with 300s (1) cores
% 93.57/12.34 # Starting new_bool_1 with 300s (1) cores
% 93.57/12.34 # Starting sh5l with 300s (1) cores
% 93.57/12.34 # SinE strategy is gf500_gu_R04_F100_L20000
% 93.57/12.34 # Search class: FUUPM-FFSF21-MFFFFFNN
% 93.57/12.34 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 93.57/12.34 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 93.57/12.34 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 5480 completed with status 0
% 93.57/12.34 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 93.57/12.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 93.57/12.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 93.57/12.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 93.57/12.34 # Starting new_bool_3 with 300s (1) cores
% 93.57/12.34 # Starting new_bool_1 with 300s (1) cores
% 93.57/12.34 # Starting sh5l with 300s (1) cores
% 93.57/12.34 # SinE strategy is gf500_gu_R04_F100_L20000
% 93.57/12.34 # Search class: FUUPM-FFSF21-MFFFFFNN
% 93.57/12.34 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 93.57/12.34 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 93.57/12.34 # Preprocessing time : 0.001 s
% 93.57/12.34 # Presaturation interreduction done
% 93.57/12.34
% 93.57/12.34 # Proof found!
% 93.57/12.34 # SZS status Theorem
% 93.57/12.34 # SZS output start CNFRefutation
% See solution above
% 93.57/12.34 # Parsed axioms : 14
% 93.57/12.34 # Removed by relevancy pruning/SinE : 2
% 93.57/12.34 # Initial clauses : 13
% 93.57/12.34 # Removed in clause preprocessing : 0
% 93.57/12.34 # Initial clauses in saturation : 13
% 93.57/12.34 # Processed clauses : 16017
% 93.57/12.34 # ...of these trivial : 10895
% 93.57/12.34 # ...subsumed : 3767
% 93.57/12.34 # ...remaining for further processing : 1355
% 93.57/12.34 # Other redundant clauses eliminated : 0
% 93.57/12.34 # Clauses deleted for lack of memory : 0
% 93.57/12.34 # Backward-subsumed : 0
% 93.57/12.34 # Backward-rewritten : 113
% 93.57/12.34 # Generated clauses : 826602
% 93.57/12.34 # ...of the previous two non-redundant : 547985
% 93.57/12.34 # ...aggressively subsumed : 0
% 93.57/12.34 # Contextual simplify-reflections : 0
% 93.57/12.34 # Paramodulations : 826602
% 93.57/12.34 # Factorizations : 0
% 93.57/12.34 # NegExts : 0
% 93.57/12.34 # Equation resolutions : 0
% 93.57/12.34 # Disequality decompositions : 0
% 93.57/12.34 # Total rewrite steps : 1753633
% 93.57/12.34 # ...of those cached : 1425851
% 93.57/12.34 # Propositional unsat checks : 0
% 93.57/12.34 # Propositional check models : 0
% 93.57/12.34 # Propositional check unsatisfiable : 0
% 93.57/12.34 # Propositional clauses : 0
% 93.57/12.34 # Propositional clauses after purity: 0
% 93.57/12.34 # Propositional unsat core size : 0
% 93.57/12.34 # Propositional preprocessing time : 0.000
% 93.57/12.34 # Propositional encoding time : 0.000
% 93.57/12.34 # Propositional solver time : 0.000
% 93.57/12.34 # Success case prop preproc time : 0.000
% 93.57/12.34 # Success case prop encoding time : 0.000
% 93.57/12.34 # Success case prop solver time : 0.000
% 93.57/12.34 # Current number of processed clauses : 1229
% 93.57/12.34 # Positive orientable unit clauses : 1207
% 93.57/12.34 # Positive unorientable unit clauses: 21
% 93.57/12.34 # Negative unit clauses : 1
% 93.57/12.34 # Non-unit-clauses : 0
% 93.57/12.34 # Current number of unprocessed clauses: 529942
% 93.57/12.34 # ...number of literals in the above : 529942
% 93.57/12.34 # Current number of archived formulas : 0
% 93.57/12.34 # Current number of archived clauses : 126
% 93.57/12.34 # Clause-clause subsumption calls (NU) : 0
% 93.57/12.34 # Rec. Clause-clause subsumption calls : 0
% 93.57/12.34 # Non-unit clause-clause subsumptions : 0
% 93.57/12.34 # Unit Clause-clause subsumption calls : 590
% 93.57/12.34 # Rewrite failures with RHS unbound : 5
% 93.57/12.34 # BW rewrite match attempts : 14156
% 93.57/12.34 # BW rewrite match successes : 173
% 93.57/12.34 # Condensation attempts : 0
% 93.57/12.34 # Condensation successes : 0
% 93.57/12.34 # Termbank termtop insertions : 16788101
% 93.57/12.34 # Search garbage collected termcells : 43
% 93.57/12.34
% 93.57/12.34 # -------------------------------------------------
% 93.57/12.34 # User time : 11.005 s
% 93.57/12.34 # System time : 0.475 s
% 93.57/12.34 # Total time : 11.480 s
% 93.57/12.34 # Maximum resident set size: 1752 pages
% 93.57/12.34
% 93.57/12.34 # -------------------------------------------------
% 93.57/12.34 # User time : 11.005 s
% 93.57/12.34 # System time : 0.479 s
% 93.57/12.34 # Total time : 11.483 s
% 93.57/12.34 # Maximum resident set size: 1696 pages
% 93.57/12.34 % E---3.1 exiting
%------------------------------------------------------------------------------