%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : REL030+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:04:27 PM UTC 2026
% Result : Theorem 248.41s 36.78s
% Output : CNFRefutation 248.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 12
% Syntax : Number of formulae : 161 ( 155 unt; 0 def)
% Number of atoms : 170 ( 169 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 4 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 236 ( 13 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',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/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( join(X1,one) = one
=> ( join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3))) = meet(composition(X1,X2),complement(X3))
& join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3)))) = meet(composition(X1,X2),complement(composition(X1,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(c_0_12,plain,
! [X19,X20] : converse(composition(X19,X20)) = composition(converse(X20),converse(X19)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_13,plain,
! [X26] : composition(X26,one) = X26,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_14,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X27] : converse(converse(X27)) = X27,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_17,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_20,plain,
! [X11,X12] : join(composition(converse(X11),complement(composition(X11,X12))),complement(X12)) = complement(X12),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_21,plain,
! [X21,X22] : join(X21,X22) = join(X22,X21),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_22,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_23,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_24,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_23]) ).
fof(c_0_28,plain,
! [X23,X24,X25] : join(X23,join(X24,X25)) = join(join(X23,X24),X25),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_29,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25]) ).
cnf(c_0_31,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_23]),c_0_27]) ).
cnf(c_0_33,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
fof(c_0_34,plain,
! [X9,X10] : X9 = join(complement(join(complement(X9),complement(X10))),complement(join(complement(X9),X10))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_0_35,plain,
join(composition(join(X1,one),X2),X3) = join(X2,join(composition(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_36,plain,
composition(join(one,one),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_27]) ).
cnf(c_0_39,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_25]) ).
cnf(c_0_40,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25]) ).
cnf(c_0_41,plain,
join(X1,complement(complement(X1))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_40]) ).
cnf(c_0_42,plain,
join(X1,join(complement(complement(X1)),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
fof(c_0_43,negated_conjecture,
~ ! [X1,X2,X3] :
( join(X1,one) = one
=> ( join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3))) = meet(composition(X1,X2),complement(X3))
& join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3)))) = meet(composition(X1,X2),complement(composition(X1,X3))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_44,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_45,plain,
join(X1,complement(complement(complement(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_41]) ).
fof(c_0_46,negated_conjecture,
( ( join(meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),meet(composition(esk1_0,esk2_0),complement(esk3_0))) != meet(composition(esk1_0,esk2_0),complement(esk3_0))
| join(meet(composition(esk1_0,esk2_0),complement(esk3_0)),meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))) )
& join(esk1_0,one) = one ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_47,plain,
complement(complement(complement(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_25]),c_0_41]) ).
cnf(c_0_48,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_47]),c_0_39]) ).
cnf(c_0_50,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_48,c_0_25]) ).
fof(c_0_51,plain,
! [X28,X29] : converse(join(X28,X29)) = join(converse(X28),converse(X29)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_52,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_44,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_31,c_0_50]) ).
fof(c_0_54,plain,
! [X13,X14,X15] : composition(X13,composition(X14,X15)) = composition(composition(X13,X14),X15),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_55,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,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_39,c_0_39]),c_0_49]),c_0_25]),c_0_31]),c_0_52]) ).
cnf(c_0_57,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_31]) ).
cnf(c_0_58,negated_conjecture,
join(one,complement(complement(esk1_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_41]),c_0_50]) ).
cnf(c_0_59,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_60,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_23]),c_0_23]) ).
cnf(c_0_62,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_56,c_0_40]),c_0_49]),c_0_25]),c_0_49]),c_0_57]) ).
cnf(c_0_63,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_58]),c_0_25]) ).
cnf(c_0_64,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_65,plain,
join(composition(X1,composition(X2,X3)),composition(X4,X3)) = composition(join(composition(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_26,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
join(one,join(converse(esk1_0),X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_31,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
join(one,complement(esk1_0)) = join(one,complement(one)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_64,c_0_15]) ).
cnf(c_0_69,plain,
join(X1,composition(X2,composition(X3,X1))) = composition(join(one,composition(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_27]),c_0_25]),c_0_25]) ).
cnf(c_0_70,negated_conjecture,
join(one,composition(join(one,one),converse(esk1_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_33]),c_0_61]) ).
cnf(c_0_71,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_49]) ).
cnf(c_0_72,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_73,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_42,c_0_56]),c_0_42]),c_0_49]) ).
cnf(c_0_74,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_75,negated_conjecture,
join(one,converse(complement(esk1_0))) = join(one,converse(complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_67]),c_0_55]),c_0_23]),c_0_23]) ).
cnf(c_0_76,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_68]),c_0_18]),c_0_25]),c_0_68]) ).
cnf(c_0_77,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_27]),c_0_27]) ).
cnf(c_0_78,plain,
join(complement(X1),join(X2,complement(X1))) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_72,c_0_38]) ).
cnf(c_0_79,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_73]),c_0_74]) ).
cnf(c_0_80,negated_conjecture,
join(one,converse(complement(esk1_0))) = join(one,complement(one)),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
join(one,complement(complement(converse(esk1_0)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_41]),c_0_61]) ).
cnf(c_0_82,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_55,c_0_77]),c_0_14]),c_0_18]) ).
cnf(c_0_83,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_78,c_0_49]) ).
cnf(c_0_84,plain,
join(X1,complement(join(X2,join(X3,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_72]) ).
cnf(c_0_85,negated_conjecture,
join(one,complement(converse(complement(esk1_0)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_44]) ).
cnf(c_0_86,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_81]),c_0_25]) ).
cnf(c_0_87,negated_conjecture,
join(X1,composition(X1,esk1_0)) = X1,
inference(spm,[status(thm)],[c_0_82,c_0_18]) ).
cnf(c_0_88,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_83]),c_0_79]) ).
cnf(c_0_89,negated_conjecture,
join(converse(complement(esk1_0)),complement(join(X1,one))) = converse(complement(esk1_0)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
join(one,complement(converse(esk1_0))) = join(one,complement(one)),
inference(spm,[status(thm)],[c_0_62,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
join(X1,join(composition(X1,esk1_0),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_87]) ).
cnf(c_0_92,plain,
join(converse(X1),converse(complement(join(X2,X1)))) = join(converse(X1),converse(complement(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_88]),c_0_55]) ).
cnf(c_0_93,negated_conjecture,
join(complement(esk1_0),converse(complement(join(X1,one)))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_89]),c_0_18]),c_0_18]) ).
cnf(c_0_94,negated_conjecture,
join(one,converse(complement(converse(esk1_0)))) = join(one,converse(complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_90]),c_0_55]),c_0_23]),c_0_23]) ).
cnf(c_0_95,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_72,c_0_62]),c_0_31]),c_0_62]) ).
cnf(c_0_96,negated_conjecture,
join(X1,composition(join(X1,X2),esk1_0)) = join(X1,composition(X2,esk1_0)),
inference(spm,[status(thm)],[c_0_91,c_0_26]) ).
cnf(c_0_97,negated_conjecture,
join(converse(esk1_0),converse(complement(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_63]),c_0_49]),c_0_49]),c_0_23]),c_0_25]),c_0_75]),c_0_76]),c_0_25]) ).
cnf(c_0_98,negated_conjecture,
join(complement(esk1_0),converse(complement(join(one,X1)))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_93,c_0_25]) ).
cnf(c_0_99,negated_conjecture,
join(esk1_0,converse(complement(converse(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_86]),c_0_49]),c_0_18]),c_0_49]),c_0_23]),c_0_25]),c_0_94]),c_0_76]),c_0_25]) ).
cnf(c_0_100,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
join(X1,composition(complement(join(X2,X1)),esk1_0)) = join(X1,composition(complement(X2),esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_88]),c_0_96]) ).
cnf(c_0_102,negated_conjecture,
join(esk1_0,complement(esk1_0)) = join(one,complement(one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_95]),c_0_67]) ).
cnf(c_0_103,negated_conjecture,
join(complement(esk1_0),converse(complement(converse(esk1_0)))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_97]),c_0_18]),c_0_98]),c_0_18]) ).
cnf(c_0_104,negated_conjecture,
join(esk1_0,complement(converse(complement(converse(esk1_0))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_99]),c_0_100]) ).
cnf(c_0_105,negated_conjecture,
join(composition(esk1_0,esk1_0),complement(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_101,c_0_63]),c_0_49]),c_0_49]),c_0_27]),c_0_25]),c_0_102]),c_0_25]) ).
cnf(c_0_106,negated_conjecture,
complement(converse(complement(converse(esk1_0)))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_103]),c_0_49]),c_0_25]),c_0_104]) ).
cnf(c_0_107,plain,
join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_26,c_0_60]) ).
cnf(c_0_108,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_79,c_0_105]),c_0_100]),c_0_49]),c_0_25]),c_0_87]) ).
cnf(c_0_109,negated_conjecture,
converse(complement(converse(esk1_0))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_49,c_0_106]) ).
cnf(c_0_110,plain,
join(X1,composition(join(X2,one),X1)) = composition(join(X2,one),X1),
inference(spm,[status(thm)],[c_0_74,c_0_30]) ).
cnf(c_0_111,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_107,c_0_108]),c_0_26]) ).
cnf(c_0_112,negated_conjecture,
converse(complement(esk1_0)) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[c_0_18,c_0_109]) ).
cnf(c_0_113,plain,
join(X1,composition(join(one,X2),X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_110,c_0_25]) ).
cnf(c_0_114,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_111,c_0_64]),c_0_112]),c_0_86]) ).
cnf(c_0_115,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_116,plain,
join(X1,composition(join(X2,complement(X2)),X1)) = composition(join(X2,complement(X2)),X1),
inference(spm,[status(thm)],[c_0_113,c_0_95]) ).
cnf(c_0_117,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_26,c_0_114]),c_0_26]) ).
cnf(c_0_118,plain,
join(X1,composition(join(complement(one),X2),X1)) = composition(join(one,complement(one)),X1),
inference(spm,[status(thm)],[c_0_115,c_0_62]) ).
cnf(c_0_119,plain,
join(composition(join(one,X1),X2),X3) = join(X2,join(composition(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_120,plain,
join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))) = composition(converse(X1),join(converse(X2),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_26]),c_0_14]),c_0_55]),c_0_14]),c_0_14]) ).
cnf(c_0_121,negated_conjecture,
composition(join(complement(one),converse(esk1_0)),esk1_0) = composition(join(one,complement(one)),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_49]),c_0_118]),c_0_49]) ).
cnf(c_0_122,negated_conjecture,
join(X1,composition(join(X2,X1),esk1_0)) = join(X1,composition(X2,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_83]),c_0_96]) ).
cnf(c_0_123,negated_conjecture,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_50]),c_0_27]) ).
cnf(c_0_124,plain,
join(composition(X1,converse(X2)),composition(X1,converse(X3))) = composition(X1,join(converse(X2),converse(X3))),
inference(spm,[status(thm)],[c_0_120,c_0_18]) ).
cnf(c_0_125,negated_conjecture,
join(complement(one),composition(converse(esk1_0),esk1_0)) = join(esk1_0,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_121]),c_0_122]),c_0_27]),c_0_25]) ).
cnf(c_0_126,negated_conjecture,
join(X1,join(X2,composition(esk1_0,X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_123,c_0_25]) ).
cnf(c_0_127,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_124,c_0_18]) ).
cnf(c_0_128,negated_conjecture,
join(complement(one),converse(esk1_0)) = join(esk1_0,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_55,c_0_125]),c_0_55]),c_0_76]),c_0_25]),c_0_76]),c_0_14]),c_0_18]),c_0_125]) ).
cnf(c_0_129,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_42]),c_0_41]) ).
cnf(c_0_130,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_25]) ).
cnf(c_0_131,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_132,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_127,c_0_18]) ).
cnf(c_0_133,negated_conjecture,
complement(converse(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_128]),c_0_88]),c_0_63]),c_0_86]) ).
cnf(c_0_134,negated_conjecture,
join(X1,composition(esk1_0,complement(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_129]),c_0_41]) ).
cnf(c_0_135,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_130,c_0_49]) ).
cnf(c_0_136,negated_conjecture,
join(X1,composition(esk1_0,complement(join(complement(X1),X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_131]),c_0_39]) ).
cnf(c_0_137,negated_conjecture,
join(X1,composition(esk1_0,join(X1,X2))) = join(X1,composition(esk1_0,X2)),
inference(spm,[status(thm)],[c_0_123,c_0_132]) ).
cnf(c_0_138,negated_conjecture,
composition(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_60,c_0_108]) ).
cnf(c_0_139,plain,
join(X1,composition(converse(X2),complement(composition(X2,complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_29]),c_0_41]) ).
cnf(c_0_140,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_133]),c_0_39]) ).
cnf(c_0_141,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_134]),c_0_49]),c_0_49]),c_0_25]) ).
fof(c_0_142,plain,
! [X7,X8] : meet(X7,X8) = complement(join(complement(X7),complement(X8))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_143,plain,
join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
inference(spm,[status(thm)],[c_0_135,c_0_25]) ).
cnf(c_0_144,negated_conjecture,
join(complement(X1),composition(esk1_0,complement(join(X1,X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_136,c_0_49]) ).
cnf(c_0_145,negated_conjecture,
join(X1,composition(esk1_0,complement(join(X1,X2)))) = join(X1,composition(esk1_0,complement(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_79]),c_0_137]) ).
cnf(c_0_146,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_132,c_0_138]),c_0_132]) ).
cnf(c_0_147,negated_conjecture,
join(X1,composition(esk1_0,complement(composition(esk1_0,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_148,negated_conjecture,
join(X1,complement(composition(esk1_0,complement(X1)))) = complement(composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[c_0_141,c_0_49]) ).
cnf(c_0_149,negated_conjecture,
( join(meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),meet(composition(esk1_0,esk2_0),complement(esk3_0))) != meet(composition(esk1_0,esk2_0),complement(esk3_0))
| join(meet(composition(esk1_0,esk2_0),complement(esk3_0)),meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_150,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_151,negated_conjecture,
complement(composition(esk1_0,complement(join(X1,X2)))) = join(X1,complement(composition(esk1_0,complement(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_49]),c_0_49]),c_0_145]),c_0_79]) ).
cnf(c_0_152,negated_conjecture,
composition(esk1_0,complement(composition(esk1_0,complement(X1)))) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_153,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))
| join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_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)],[c_0_149,c_0_25]),c_0_150]),c_0_150]),c_0_150]),c_0_150]),c_0_150]),c_0_150]) ).
cnf(c_0_154,negated_conjecture,
complement(join(X1,complement(composition(esk1_0,complement(X2))))) = composition(esk1_0,complement(join(X1,X2))),
inference(spm,[status(thm)],[c_0_49,c_0_151]) ).
cnf(c_0_155,negated_conjecture,
composition(esk1_0,complement(composition(esk1_0,X1))) = composition(esk1_0,complement(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_29,c_0_152]),c_0_49]),c_0_140]),c_0_132]),c_0_141]),c_0_49]) ).
cnf(c_0_156,negated_conjecture,
composition(esk1_0,join(composition(esk1_0,X1),X2)) = composition(esk1_0,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_138]),c_0_132]) ).
cnf(c_0_157,negated_conjecture,
( join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))))) != complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))
| join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))))) != complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_158,negated_conjecture,
complement(join(X1,complement(composition(esk1_0,X2)))) = composition(esk1_0,complement(join(X1,complement(X2)))),
inference(spm,[status(thm)],[c_0_154,c_0_49]) ).
cnf(c_0_159,negated_conjecture,
composition(esk1_0,complement(join(composition(esk1_0,X1),X2))) = composition(esk1_0,complement(join(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_155]) ).
cnf(c_0_160,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158]),c_0_158]),c_0_159]),c_0_71]),c_0_158]),c_0_159]),c_0_158]),c_0_158]),c_0_159]),c_0_71]),c_0_158])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL030+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:03:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 248.41/36.78 % Version: 3.5.1
% 248.41/36.78 % Preprocessing class: FSMSSMSSSSSNFFN.
% 248.41/36.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 248.41/36.78 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 248.41/36.78 % Starting new_bool_3 with 300s (1) cores
% 248.41/36.78 % Starting new_bool_1 with 300s (1) cores
% 248.41/36.78 % Starting sh5l with 300s (1) cores
% 248.41/36.78 % new_bool_1 with pid 3095941 completed with status 0
% 248.41/36.78 % Result found by new_bool_1
% 248.41/36.78 % Preprocessing class: FSMSSMSSSSSNFFN.
% 248.41/36.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 248.41/36.78 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 248.41/36.78 % Starting new_bool_3 with 300s (1) cores
% 248.41/36.78 % Starting new_bool_1 with 300s (1) cores
% 248.41/36.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 248.41/36.78 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 248.41/36.78 % Search class: FUHPM-FFSF21-MFFFFFNN
% 248.41/36.78 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 248.41/36.78 % Starting SubtermCWHack with 31s (1) cores
% 248.41/36.78 % SubtermCWHack with pid 3095946 completed with status 8
% 248.41/36.78 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 248.41/36.78 % H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 3096221 completed with status 0
% 248.41/36.78 % Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 248.41/36.78 % Preprocessing class: FSMSSMSSSSSNFFN.
% 248.41/36.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 248.41/36.78 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 248.41/36.78 % Starting new_bool_3 with 300s (1) cores
% 248.41/36.78 % Starting new_bool_1 with 300s (1) cores
% 248.41/36.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 248.41/36.78 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 248.41/36.78 % Search class: FUHPM-FFSF21-MFFFFFNN
% 248.41/36.78 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 248.41/36.78 % Starting SubtermCWHack with 31s (1) cores
% 248.41/36.78 % SubtermCWHack with pid 3095946 completed with status 8
% 248.41/36.78 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 248.41/36.78 % Preprocessing time : 0.001 s
% 248.41/36.78
% 248.41/36.78 % Proof found!
% 248.41/36.78 % SZS status Theorem
% 248.41/36.78 % SZS output start CNFRefutation
% See solution above
% 248.41/36.78 % Parsed axioms : 14
% 248.41/36.78 % Removed by relevancy pruning/SinE : 2
% 248.41/36.78 % Initial clauses : 13
% 248.41/36.78 % Removed in clause preprocessing : 0
% 248.41/36.78 % Initial clauses in saturation : 13
% 248.41/36.78 % Processed clauses : 14946
% 248.41/36.78 % ...of these trivial : 6367
% 248.41/36.78 % ...subsumed : 7566
% 248.41/36.78 % ...remaining for further processing : 1013
% 248.41/36.78 % Other redundant clauses eliminated : 0
% 248.41/36.78 % Clauses deleted for lack of memory : 0
% 248.41/36.78 % Backward-subsumed : 1
% 248.41/36.78 % Backward-rewritten : 288
% 248.41/36.78 % Generated clauses : 305481
% 248.41/36.78 % ...of the previous two non-redundant : 197126
% 248.41/36.78 % ...aggressively subsumed : 0
% 248.41/36.78 % Contextual simplify-reflections : 0
% 248.41/36.78 % Paramodulations : 305481
% 248.41/36.78 % Factorizations : 0
% 248.41/36.78 % NegExts : 0
% 248.41/36.78 % Equation resolutions : 0
% 248.41/36.78 % Disequality decompositions : 0
% 248.41/36.78 % Total rewrite steps : 680504
% 248.41/36.78 % ...of those cached : 573673
% 248.41/36.78 % Propositional unsat checks : 0
% 248.41/36.78 % Propositional check models : 0
% 248.41/36.78 % Propositional check unsatisfiable : 0
% 248.41/36.78 % Propositional clauses : 0
% 248.41/36.78 % Propositional clauses after purity: 0
% 248.41/36.78 % Propositional unsat core size : 0
% 248.41/36.78 % Propositional preprocessing time : 0.000
% 248.41/36.78 % Propositional encoding time : 0.000
% 248.41/36.78 % Propositional solver time : 0.000
% 248.41/36.78 % Success case prop preproc time : 0.000
% 248.41/36.78 % Success case prop encoding time : 0.000
% 248.41/36.78 % Success case prop solver time : 0.000
% 248.41/36.78 % Current number of processed clauses : 724
% 248.41/36.78 % Positive orientable unit clauses : 682
% 248.41/36.78 % Positive unorientable unit clauses: 41
% 248.41/36.78 % Negative unit clauses : 0
% 248.41/36.78 % Non-unit-clauses : 1
% 248.41/36.78 % Current number of unprocessed clauses: 179810
% 248.41/36.78 % ...number of literals in the above : 179810
% 248.41/36.78 % Current number of archived formulas : 0
% 248.41/36.78 % Current number of archived clauses : 289
% 248.41/36.78 % Clause-clause subsumption calls (NU) : 2
% 248.41/36.78 % Rec. Clause-clause subsumption calls : 2
% 248.41/36.78 % Non-unit clause-clause subsumptions : 1
% 248.41/36.78 % Unit Clause-clause subsumption calls : 388
% 248.41/36.78 % Rewrite failures with RHS unbound : 68
% 248.41/36.78 % BW rewrite match attempts : 11385
% 248.41/36.78 % BW rewrite match successes : 720
% 248.41/36.78 % Condensation attempts : 0
% 248.41/36.78 % Condensation successes : 0
% 248.41/36.78 % Termbank termtop insertions : 5286971
% 248.41/36.78 % Search garbage collected termcells : 55
% 248.41/36.78
% 248.41/36.78 % -------------------------------------------------
% 248.41/36.78 % User time : 34.019 s
% 248.41/36.78 % System time : 1.343 s
% 248.41/36.78 % Total time : 35.362 s
% 248.41/36.78 % Maximum resident set size: 3648 pages
% 248.41/36.78
% 248.41/36.78 % -------------------------------------------------
% 248.41/36.78 % User time : 34.019 s
% 248.41/36.78 % System time : 1.350 s
% 248.41/36.78 % Total time : 35.369 s
% 248.41/36.78 % Maximum resident set size: 4864 pages
% 248.41/36.78 % E exiting
%------------------------------------------------------------------------------