TSTP Solution File: REL025+2 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : REL025+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Tue May 21 02:32:16 EDT 2024
% Result : Theorem 2.36s 0.74s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 140 ( 134 unt; 0 def)
% Number of atoms : 156 ( 155 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 26 ( 10 ~; 7 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 177 ( 8 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(goals,conjecture,
! [X1] :
( ( join(X1,one) = one
=> join(converse(X1),X1) = X1 )
& ( join(X1,one) = one
=> join(X1,converse(X1)) = converse(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
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/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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,
! [X17] : composition(X17,one) = X17,
inference(variable_rename,[status(thm)],[composition_identity]) ).
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,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X5] : converse(converse(X5)) = X5,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_16,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( join(X1,one) = one
=> join(converse(X1),X1) = X1 )
& ( join(X1,one) = one
=> join(X1,converse(X1)) = converse(X1) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_19,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_20,plain,
! [X12,X13] : join(X12,X13) = join(X13,X12),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_21,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_22,negated_conjecture,
( ( join(esk1_0,one) = one
| join(esk1_0,one) = one )
& ( join(esk1_0,converse(esk1_0)) != converse(esk1_0)
| join(esk1_0,one) = one )
& ( join(esk1_0,one) = one
| join(converse(esk1_0),esk1_0) != esk1_0 )
& ( join(esk1_0,converse(esk1_0)) != converse(esk1_0)
| join(converse(esk1_0),esk1_0) != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
cnf(c_0_23,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
fof(c_0_26,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]) ).
fof(c_0_27,plain,
! [X6,X7] : converse(join(X6,X7)) = join(converse(X6),converse(X7)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_28,negated_conjecture,
( join(esk1_0,one) = one
| join(esk1_0,one) = one ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X14,X15,X16] : join(X14,join(X15,X16)) = join(join(X14,X15),X16),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_30,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_32,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
join(esk1_0,one) = one,
inference(cn,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_25]),c_0_31]) ).
cnf(c_0_37,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_38,negated_conjecture,
join(converse(esk1_0),converse(one)) = converse(one),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
join(complement(complement(X1)),complement(join(X1,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_24]),c_0_24]) ).
cnf(c_0_41,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_25]),c_0_24]),c_0_25]) ).
cnf(c_0_42,plain,
join(X1,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_24]) ).
cnf(c_0_43,negated_conjecture,
join(one,join(converse(esk1_0),X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_35,c_0_41]) ).
cnf(c_0_44,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_24]) ).
cnf(c_0_45,plain,
join(X1,join(complement(complement(X1)),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
join(one,join(esk1_0,converse(X1))) = join(one,converse(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_33,c_0_43]),c_0_33]),c_0_25]),c_0_25]),c_0_33]),c_0_17]) ).
cnf(c_0_47,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_24]) ).
cnf(c_0_48,plain,
join(X1,complement(complement(complement(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_46,c_0_17]) ).
cnf(c_0_50,plain,
complement(complement(complement(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_24]),c_0_42]) ).
cnf(c_0_51,negated_conjecture,
join(one,complement(complement(esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_24]),c_0_34]) ).
fof(c_0_52,plain,
! [X21,X22,X23] : composition(join(X21,X22),X23) = join(composition(X21,X23),composition(X22,X23)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_53,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_50]),c_0_37]) ).
cnf(c_0_54,negated_conjecture,
join(complement(esk1_0),complement(one)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_51]) ).
cnf(c_0_55,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_57,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_47,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
join(complement(esk1_0),join(complement(one),X1)) = join(complement(esk1_0),X1),
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_59,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_31]),c_0_24]) ).
cnf(c_0_60,plain,
join(complement(one),composition(join(converse(X1),converse(X2)),complement(join(X1,X2)))) = complement(one),
inference(spm,[status(thm)],[c_0_56,c_0_33]) ).
cnf(c_0_61,plain,
join(converse(complement(one)),composition(converse(complement(X1)),X1)) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_56]),c_0_13]),c_0_17]) ).
cnf(c_0_62,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_37]),c_0_53]),c_0_24]),c_0_35]),c_0_57]) ).
cnf(c_0_63,negated_conjecture,
join(complement(esk1_0),complement(join(complement(complement(one)),X1))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_54]) ).
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_35,c_0_24]),c_0_35]) ).
cnf(c_0_65,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_34]),c_0_31]) ).
cnf(c_0_66,plain,
join(complement(X1),join(X2,complement(X1))) = join(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_39,c_0_24]) ).
cnf(c_0_67,plain,
join(complement(one),converse(complement(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_60]),c_0_13]),c_0_33]),c_0_17]),c_0_17]),c_0_61]),c_0_53]),c_0_14]) ).
cnf(c_0_68,negated_conjecture,
join(one,join(complement(esk1_0),X1)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_53]),c_0_24]),c_0_53]),c_0_64]) ).
cnf(c_0_69,negated_conjecture,
join(X1,join(X2,composition(esk1_0,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
join(X1,complement(join(X1,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_40]),c_0_24]) ).
cnf(c_0_71,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_35]) ).
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_62,c_0_44]),c_0_53]),c_0_24]),c_0_53]),c_0_64]) ).
cnf(c_0_73,negated_conjecture,
join(complement(esk1_0),converse(complement(one))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_67]),c_0_54]) ).
cnf(c_0_74,negated_conjecture,
join(one,join(X1,complement(esk1_0))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
cnf(c_0_76,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_70]) ).
cnf(c_0_77,plain,
join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_35]),c_0_72]) ).
cnf(c_0_78,negated_conjecture,
join(one,complement(esk1_0)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_53]),c_0_24]),c_0_24]) ).
cnf(c_0_79,negated_conjecture,
join(complement(one),converse(complement(esk1_0))) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_73]),c_0_17]),c_0_24]) ).
cnf(c_0_80,negated_conjecture,
join(one,complement(one)) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_74,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_41]),c_0_31]) ).
cnf(c_0_82,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_62]),c_0_45]),c_0_53]) ).
cnf(c_0_83,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
join(X1,complement(X1)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_77]),c_0_77]) ).
cnf(c_0_85,negated_conjecture,
join(converse(esk1_0),converse(complement(esk1_0))) = join(one,converse(complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_33]),c_0_25]) ).
cnf(c_0_86,negated_conjecture,
join(one,converse(complement(esk1_0))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_79]),c_0_80]) ).
cnf(c_0_87,negated_conjecture,
join(converse(X1),composition(converse(X1),esk1_0)) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_81]),c_0_13]),c_0_17]) ).
cnf(c_0_88,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_82]),c_0_83]) ).
cnf(c_0_89,negated_conjecture,
join(converse(X1),converse(complement(X1))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_84]),c_0_33]),c_0_85]),c_0_86]) ).
cnf(c_0_90,negated_conjecture,
join(X1,complement(join(esk1_0,complement(esk1_0)))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
join(X1,composition(X1,esk1_0)) = X1,
inference(spm,[status(thm)],[c_0_87,c_0_17]) ).
cnf(c_0_92,negated_conjecture,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_93,plain,
join(X1,composition(join(X2,one),X1)) = join(X1,composition(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_59]),c_0_53]),c_0_53]) ).
cnf(c_0_94,negated_conjecture,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_65]) ).
cnf(c_0_95,negated_conjecture,
join(X1,join(X2,composition(X1,esk1_0))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_92]),c_0_17]),c_0_17]) ).
cnf(c_0_97,plain,
join(X1,composition(join(one,X2),X1)) = join(X1,composition(X2,X1)),
inference(spm,[status(thm)],[c_0_93,c_0_24]) ).
cnf(c_0_98,negated_conjecture,
join(X1,composition(join(esk1_0,X2),X1)) = join(X1,composition(X2,X1)),
inference(spm,[status(thm)],[c_0_94,c_0_55]) ).
fof(c_0_99,plain,
! [X18,X19,X20] : composition(X18,composition(X19,X20)) = composition(composition(X18,X19),X20),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_100,plain,
join(X1,join(X2,complement(complement(X1)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_24]) ).
cnf(c_0_101,negated_conjecture,
join(X1,composition(join(X2,X1),esk1_0)) = join(composition(X2,esk1_0),X1),
inference(spm,[status(thm)],[c_0_95,c_0_55]) ).
cnf(c_0_102,negated_conjecture,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_96,c_0_53]) ).
cnf(c_0_103,negated_conjecture,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(spm,[status(thm)],[c_0_92,c_0_17]) ).
cnf(c_0_104,negated_conjecture,
join(complement(esk1_0),composition(complement(one),esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_91]),c_0_54]) ).
cnf(c_0_105,negated_conjecture,
join(X1,composition(complement(one),X1)) = join(X1,composition(complement(esk1_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_84]),c_0_98]) ).
cnf(c_0_106,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_107,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_100]),c_0_88]),c_0_53]) ).
cnf(c_0_108,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,esk1_0)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_78]),c_0_101]),c_0_31]),c_0_24]) ).
cnf(c_0_109,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_77]) ).
cnf(c_0_110,negated_conjecture,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_102]),c_0_53]),c_0_24]),c_0_103]) ).
cnf(c_0_111,negated_conjecture,
join(esk1_0,complement(composition(complement(one),esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_104]),c_0_53]),c_0_24]) ).
cnf(c_0_112,negated_conjecture,
join(X1,complement(composition(complement(one),X1))) = join(X1,complement(composition(complement(esk1_0),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_105]),c_0_88]) ).
cnf(c_0_113,negated_conjecture,
join(complement(X1),complement(composition(X1,esk1_0))) = complement(composition(X1,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_91]),c_0_24]) ).
cnf(c_0_114,plain,
join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_55,c_0_106]) ).
cnf(c_0_115,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(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_53]),c_0_24]),c_0_91]) ).
cnf(c_0_116,negated_conjecture,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_53,c_0_110]) ).
cnf(c_0_117,negated_conjecture,
join(one,complement(complement(converse(esk1_0)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_41]) ).
cnf(c_0_118,negated_conjecture,
join(esk1_0,complement(composition(complement(esk1_0),esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,negated_conjecture,
join(X1,complement(composition(complement(X1),esk1_0))) = complement(composition(complement(X1),esk1_0)),
inference(spm,[status(thm)],[c_0_113,c_0_53]) ).
cnf(c_0_120,negated_conjecture,
composition(join(X1,composition(X2,esk1_0)),esk1_0) = composition(join(X1,X2),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_55]) ).
cnf(c_0_121,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_122,negated_conjecture,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_17,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_117]),c_0_24]) ).
cnf(c_0_124,negated_conjecture,
complement(composition(complement(one),esk1_0)) = complement(composition(complement(esk1_0),esk1_0)),
inference(rw,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_125,negated_conjecture,
composition(complement(converse(esk1_0)),esk1_0) = composition(complement(one),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]) ).
cnf(c_0_126,negated_conjecture,
composition(complement(one),esk1_0) = composition(complement(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_124]),c_0_37]) ).
cnf(c_0_127,negated_conjecture,
composition(join(esk1_0,X1),esk1_0) = join(esk1_0,composition(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_55,c_0_115]) ).
cnf(c_0_128,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_77]),c_0_77]) ).
cnf(c_0_129,negated_conjecture,
composition(join(complement(converse(esk1_0)),X1),esk1_0) = composition(join(complement(one),X1),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_125]),c_0_55]) ).
cnf(c_0_130,negated_conjecture,
composition(join(complement(one),X1),esk1_0) = composition(join(complement(esk1_0),X1),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_126]),c_0_55]) ).
cnf(c_0_131,negated_conjecture,
composition(join(X1,complement(X1)),esk1_0) = join(esk1_0,composition(complement(esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_132,negated_conjecture,
composition(join(complement(converse(esk1_0)),X1),esk1_0) = composition(join(complement(esk1_0),X1),esk1_0),
inference(rw,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
composition(join(converse(esk1_0),complement(esk1_0)),esk1_0) = join(esk1_0,composition(complement(esk1_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_53]),c_0_24]) ).
cnf(c_0_134,negated_conjecture,
( join(esk1_0,converse(esk1_0)) != converse(esk1_0)
| join(converse(esk1_0),esk1_0) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_135,negated_conjecture,
join(converse(esk1_0),complement(esk1_0)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_133]),c_0_35]),c_0_95]),c_0_77]) ).
cnf(c_0_136,negated_conjecture,
( join(esk1_0,converse(esk1_0)) != converse(esk1_0)
| join(esk1_0,converse(esk1_0)) != esk1_0 ),
inference(rw,[status(thm)],[c_0_134,c_0_24]) ).
cnf(c_0_137,negated_conjecture,
join(esk1_0,converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_135]),c_0_90]),c_0_53]),c_0_24]) ).
cnf(c_0_138,negated_conjecture,
converse(esk1_0) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_137])]) ).
cnf(c_0_139,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_137]),c_0_17]),c_0_17]),c_0_24]),c_0_137]),c_0_138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL025+2 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 08:26:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.36/0.74 # Version: 3.1.0
% 2.36/0.74 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.36/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/0.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.36/0.74 # Starting new_bool_3 with 300s (1) cores
% 2.36/0.74 # Starting new_bool_1 with 300s (1) cores
% 2.36/0.74 # Starting sh5l with 300s (1) cores
% 2.36/0.74 # new_bool_3 with pid 2422 completed with status 0
% 2.36/0.74 # Result found by new_bool_3
% 2.36/0.74 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.36/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/0.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.36/0.74 # Starting new_bool_3 with 300s (1) cores
% 2.36/0.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.36/0.74 # Search class: FHHPM-FFSF21-MFFFFFNN
% 2.36/0.74 # partial match(1): FHUPM-FFSF21-MFFFFFNN
% 2.36/0.74 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.36/0.74 # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 181s (1) cores
% 2.36/0.74 # G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 2428 completed with status 0
% 2.36/0.74 # Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 2.36/0.74 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.36/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/0.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.36/0.74 # Starting new_bool_3 with 300s (1) cores
% 2.36/0.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.36/0.74 # Search class: FHHPM-FFSF21-MFFFFFNN
% 2.36/0.74 # partial match(1): FHUPM-FFSF21-MFFFFFNN
% 2.36/0.74 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.36/0.74 # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 181s (1) cores
% 2.36/0.74 # Preprocessing time : 0.001 s
% 2.36/0.74 # Presaturation interreduction done
% 2.36/0.74
% 2.36/0.74 # Proof found!
% 2.36/0.74 # SZS status Theorem
% 2.36/0.74 # SZS output start CNFRefutation
% See solution above
% 2.36/0.74 # Parsed axioms : 14
% 2.36/0.74 # Removed by relevancy pruning/SinE : 3
% 2.36/0.74 # Initial clauses : 14
% 2.36/0.74 # Removed in clause preprocessing : 0
% 2.36/0.74 # Initial clauses in saturation : 14
% 2.36/0.74 # Processed clauses : 2987
% 2.36/0.74 # ...of these trivial : 1543
% 2.36/0.74 # ...subsumed : 838
% 2.36/0.74 # ...remaining for further processing : 605
% 2.36/0.74 # Other redundant clauses eliminated : 0
% 2.36/0.74 # Clauses deleted for lack of memory : 0
% 2.36/0.74 # Backward-subsumed : 1
% 2.36/0.74 # Backward-rewritten : 205
% 2.36/0.74 # Generated clauses : 35764
% 2.36/0.74 # ...of the previous two non-redundant : 19312
% 2.36/0.74 # ...aggressively subsumed : 0
% 2.36/0.74 # Contextual simplify-reflections : 0
% 2.36/0.74 # Paramodulations : 35764
% 2.36/0.74 # Factorizations : 0
% 2.36/0.74 # NegExts : 0
% 2.36/0.74 # Equation resolutions : 0
% 2.36/0.74 # Disequality decompositions : 0
% 2.36/0.74 # Total rewrite steps : 70868
% 2.36/0.74 # ...of those cached : 62367
% 2.36/0.74 # Propositional unsat checks : 0
% 2.36/0.74 # Propositional check models : 0
% 2.36/0.74 # Propositional check unsatisfiable : 0
% 2.36/0.74 # Propositional clauses : 0
% 2.36/0.74 # Propositional clauses after purity: 0
% 2.36/0.74 # Propositional unsat core size : 0
% 2.36/0.74 # Propositional preprocessing time : 0.000
% 2.36/0.74 # Propositional encoding time : 0.000
% 2.36/0.74 # Propositional solver time : 0.000
% 2.36/0.74 # Success case prop preproc time : 0.000
% 2.36/0.74 # Success case prop encoding time : 0.000
% 2.36/0.74 # Success case prop solver time : 0.000
% 2.36/0.74 # Current number of processed clauses : 387
% 2.36/0.74 # Positive orientable unit clauses : 379
% 2.36/0.74 # Positive unorientable unit clauses: 7
% 2.36/0.74 # Negative unit clauses : 1
% 2.36/0.74 # Non-unit-clauses : 0
% 2.36/0.74 # Current number of unprocessed clauses: 15903
% 2.36/0.74 # ...number of literals in the above : 15903
% 2.36/0.74 # Current number of archived formulas : 0
% 2.36/0.74 # Current number of archived clauses : 218
% 2.36/0.74 # Clause-clause subsumption calls (NU) : 0
% 2.36/0.74 # Rec. Clause-clause subsumption calls : 0
% 2.36/0.74 # Non-unit clause-clause subsumptions : 0
% 2.36/0.74 # Unit Clause-clause subsumption calls : 188
% 2.36/0.74 # Rewrite failures with RHS unbound : 27
% 2.36/0.74 # BW rewrite match attempts : 4368
% 2.36/0.74 # BW rewrite match successes : 412
% 2.36/0.74 # Condensation attempts : 0
% 2.36/0.74 # Condensation successes : 0
% 2.36/0.74 # Termbank termtop insertions : 514197
% 2.36/0.74 # Search garbage collected termcells : 60
% 2.36/0.74
% 2.36/0.74 # -------------------------------------------------
% 2.36/0.74 # User time : 0.243 s
% 2.36/0.74 # System time : 0.014 s
% 2.36/0.74 # Total time : 0.257 s
% 2.36/0.74 # Maximum resident set size: 1772 pages
% 2.36/0.74
% 2.36/0.74 # -------------------------------------------------
% 2.36/0.74 # User time : 0.247 s
% 2.36/0.74 # System time : 0.014 s
% 2.36/0.74 # Total time : 0.261 s
% 2.36/0.74 # Maximum resident set size: 1704 pages
% 2.36/0.74 % E---3.1 exiting
%------------------------------------------------------------------------------