%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : REL047+1 : 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 : n016.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 02:04:09 PM UTC 2026
% Result : Theorem 5.25s 1.33s
% Output : CNFRefutation 5.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 125 ( 122 unt; 0 def)
% Number of atoms : 131 ( 130 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 138 ( 20 sgn 40 !; 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(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( ( join(X1,X3) = X3
& join(X1,X2) = X2 )
=> join(X1,meet(X2,X3)) = meet(X2,X3) ),
file('/export/starexec/sandbox/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/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(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
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(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
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(c_0_11,plain,
! [X23,X24] : converse(composition(X23,X24)) = composition(converse(X24),converse(X23)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_12,plain,
! [X20] : converse(converse(X20)) = X20,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_13,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X16] : composition(X16,one) = X16,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_16,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1,X2,X3] :
( ( join(X1,X3) = X3
& join(X1,X2) = X2 )
=> join(X1,meet(X2,X3)) = meet(X2,X3) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_19,plain,
! [X25,X26] : join(composition(converse(X25),complement(composition(X25,X26))),complement(X26)) = complement(X26),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_20,plain,
! [X4,X5] : join(X4,X5) = join(X5,X4),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_21,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14]) ).
fof(c_0_22,plain,
! [X28] : zero = meet(X28,complement(X28)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_23,plain,
! [X11,X12] : meet(X11,X12) = complement(join(complement(X11),complement(X12))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
fof(c_0_24,negated_conjecture,
( join(esk1_0,meet(esk2_0,esk3_0)) != meet(esk2_0,esk3_0)
& join(esk1_0,esk3_0) = esk3_0
& join(esk1_0,esk2_0) = esk2_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_25,plain,
! [X27] : top = join(X27,complement(X27)),
inference(variable_rename,[status(thm)],[def_top]) ).
fof(c_0_26,plain,
! [X6,X7,X8] : join(X6,join(X7,X8)) = join(join(X6,X7),X8),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_27,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_30,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
join(esk1_0,esk3_0) = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_37,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_38,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_39,negated_conjecture,
join(esk3_0,esk1_0) = esk3_0,
inference(rw,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_40,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29]),c_0_36]) ).
cnf(c_0_42,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_43,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
join(esk3_0,join(esk1_0,X1)) = join(esk3_0,X1),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_45,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33]),c_0_28]) ).
cnf(c_0_46,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_43,c_0_28]) ).
cnf(c_0_48,negated_conjecture,
join(esk3_0,complement(esk1_0)) = join(esk3_0,top),
inference(spm,[status(thm)],[c_0_44,c_0_33]) ).
cnf(c_0_49,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_50,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_51,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_33]),c_0_42]),c_0_28]) ).
cnf(c_0_52,negated_conjecture,
join(esk3_0,join(complement(esk1_0),X1)) = join(esk3_0,join(top,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_34]) ).
cnf(c_0_53,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_28,c_0_49]) ).
cnf(c_0_54,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_56,negated_conjecture,
join(esk3_0,join(complement(esk1_0),X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_49]) ).
cnf(c_0_57,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
join(complement(esk1_0),join(X1,join(X2,esk3_0))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_49]),c_0_34]) ).
cnf(c_0_59,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_34]) ).
cnf(c_0_60,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
join(complement(esk1_0),join(X1,join(esk3_0,X2))) = top,
inference(spm,[status(thm)],[c_0_58,c_0_28]) ).
cnf(c_0_62,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_34]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
complement(join(complement(esk1_0),complement(join(X1,join(esk3_0,X2))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_61]),c_0_42]),c_0_54]) ).
cnf(c_0_64,negated_conjecture,
join(esk3_0,join(X1,esk1_0)) = join(esk3_0,X1),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_65,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_47]),c_0_28]) ).
cnf(c_0_66,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
join(esk1_0,esk2_0) = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_68,negated_conjecture,
complement(join(complement(esk3_0),complement(esk1_0))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_60]),c_0_28]) ).
cnf(c_0_69,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
join(esk2_0,esk1_0) = esk2_0,
inference(rw,[status(thm)],[c_0_67,c_0_28]) ).
cnf(c_0_71,negated_conjecture,
join(complement(esk3_0),complement(esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_57,c_0_68]) ).
cnf(c_0_72,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_69,c_0_57]) ).
cnf(c_0_73,negated_conjecture,
join(esk2_0,join(esk1_0,X1)) = join(esk2_0,X1),
inference(spm,[status(thm)],[c_0_34,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
join(esk1_0,complement(join(esk1_0,complement(esk3_0)))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_71]),c_0_57]),c_0_57]),c_0_28]) ).
cnf(c_0_75,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_47,c_0_47]),c_0_57]),c_0_28]),c_0_34]),c_0_72]) ).
cnf(c_0_76,negated_conjecture,
join(esk2_0,complement(join(esk1_0,complement(esk3_0)))) = join(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
join(esk1_0,complement(join(esk1_0,complement(X1)))) = join(esk1_0,X1),
inference(spm,[status(thm)],[c_0_75,c_0_63]) ).
cnf(c_0_78,negated_conjecture,
join(esk1_0,join(complement(esk3_0),complement(join(esk2_0,esk3_0)))) = join(esk1_0,complement(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_76]),c_0_34]) ).
cnf(c_0_79,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_54]) ).
cnf(c_0_80,negated_conjecture,
join(esk1_0,complement(join(esk1_0,X1))) = join(esk1_0,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_77]),c_0_62]) ).
cnf(c_0_81,negated_conjecture,
join(esk1_0,join(complement(esk3_0),join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0)))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_78]),c_0_34]) ).
cnf(c_0_82,negated_conjecture,
complement(join(complement(esk1_0),complement(join(X1,esk3_0)))) = esk1_0,
inference(spm,[status(thm)],[c_0_63,c_0_79]) ).
cnf(c_0_83,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_75,c_0_57]) ).
cnf(c_0_84,negated_conjecture,
join(esk1_0,complement(join(complement(esk3_0),join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_42]),c_0_79]) ).
cnf(c_0_85,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_86,negated_conjecture,
join(complement(esk1_0),complement(join(X1,esk3_0))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_57,c_0_82]) ).
cnf(c_0_87,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_83]),c_0_62]) ).
cnf(c_0_88,negated_conjecture,
join(complement(esk3_0),join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_84]),c_0_57]),c_0_34]),c_0_34]),c_0_57]),c_0_28]),c_0_85]),c_0_28]),c_0_86]),c_0_71]) ).
cnf(c_0_89,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_87,c_0_28]) ).
cnf(c_0_90,negated_conjecture,
join(complement(esk3_0),complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0)))))) = join(esk1_0,complement(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_57]),c_0_28]) ).
cnf(c_0_91,negated_conjecture,
join(esk3_0,complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0)))))) = join(esk2_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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_57]),c_0_28]),c_0_89]),c_0_57]),c_0_28]),c_0_34]),c_0_69]),c_0_28]) ).
cnf(c_0_92,negated_conjecture,
join(esk3_0,join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))) = join(esk3_0,complement(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_91]),c_0_89]),c_0_57]) ).
cnf(c_0_93,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_94,negated_conjecture,
join(complement(join(esk3_0,complement(esk2_0))),complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0)))))) = complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_92]),c_0_28]) ).
cnf(c_0_95,negated_conjecture,
join(complement(join(esk2_0,esk3_0)),join(complement(join(esk3_0,complement(esk2_0))),complement(join(esk1_0,complement(esk3_0))))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_92]),c_0_34]),c_0_34]),c_0_28]),c_0_89]),c_0_71]),c_0_28]),c_0_86]),c_0_28]) ).
cnf(c_0_96,negated_conjecture,
join(complement(esk2_0),complement(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_70]),c_0_28]) ).
cnf(c_0_97,negated_conjecture,
join(esk1_0,join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))) = join(esk3_0,complement(esk2_0)),
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_93,c_0_94]),c_0_34]),c_0_28]),c_0_95]),c_0_57]),c_0_57]) ).
cnf(c_0_98,negated_conjecture,
join(esk1_0,complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0)))))) = complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_88]),c_0_57]),c_0_28]) ).
cnf(c_0_99,negated_conjecture,
join(esk1_0,complement(join(esk1_0,complement(esk2_0)))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_96]),c_0_57]),c_0_57]),c_0_28]) ).
cnf(c_0_100,negated_conjecture,
complement(join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk3_0))))) = join(esk1_0,complement(join(esk3_0,complement(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_97]),c_0_98]) ).
cnf(c_0_101,negated_conjecture,
join(esk3_0,complement(join(esk1_0,complement(esk2_0)))) = join(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_99]),c_0_28]) ).
cnf(c_0_102,negated_conjecture,
join(esk1_0,join(complement(join(esk2_0,esk3_0)),complement(join(esk3_0,complement(esk2_0))))) = join(esk1_0,complement(esk3_0)),
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_87,c_0_100]),c_0_57]),c_0_28]),c_0_34]),c_0_72]),c_0_59]) ).
cnf(c_0_103,plain,
join(complement(join(X1,join(X2,complement(X3)))),complement(join(complement(X3),complement(join(X1,X2))))) = X3,
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_104,negated_conjecture,
join(esk3_0,join(complement(join(esk2_0,esk3_0)),complement(join(esk1_0,complement(esk2_0))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_101]),c_0_28]) ).
cnf(c_0_105,negated_conjecture,
join(esk3_0,join(complement(join(esk2_0,esk3_0)),complement(join(esk3_0,complement(esk2_0))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_102]),c_0_44]),c_0_33]) ).
cnf(c_0_106,negated_conjecture,
complement(join(complement(join(esk3_0,complement(esk2_0))),complement(join(esk1_0,complement(esk2_0))))) = join(esk1_0,complement(esk2_0)),
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_42]),c_0_89]),c_0_54]),c_0_28]) ).
cnf(c_0_107,plain,
join(X1,complement(join(X2,join(X3,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_55]) ).
cnf(c_0_108,negated_conjecture,
join(complement(join(esk2_0,esk3_0)),complement(join(esk3_0,complement(esk2_0)))) = complement(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)],[inference(spm,[status(thm)],[c_0_89,c_0_105]),c_0_42]),c_0_79]),c_0_34]),c_0_28]),c_0_85]),c_0_28]),c_0_72]) ).
cnf(c_0_109,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_110,negated_conjecture,
join(complement(join(esk3_0,complement(esk2_0))),complement(join(esk1_0,complement(esk2_0)))) = complement(join(esk1_0,complement(esk2_0))),
inference(spm,[status(thm)],[c_0_57,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
join(esk3_0,join(complement(esk2_0),complement(join(X1,complement(esk3_0))))) = join(esk3_0,complement(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_34]) ).
cnf(c_0_112,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1))))) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_113,negated_conjecture,
join(esk1_0,join(complement(esk2_0),complement(join(esk1_0,join(complement(esk2_0),complement(esk3_0)))))) = join(esk3_0,complement(esk2_0)),
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_109,c_0_110]),c_0_57]),c_0_57]),c_0_34]),c_0_89]),c_0_34]) ).
cnf(c_0_114,negated_conjecture,
join(complement(esk3_0),join(complement(join(esk3_0,complement(esk2_0))),X1)) = join(X1,complement(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_111]),c_0_89]),c_0_57]),c_0_55]) ).
cnf(c_0_115,negated_conjecture,
join(complement(join(esk3_0,complement(esk2_0))),complement(join(complement(esk2_0),complement(join(esk1_0,complement(join(complement(esk2_0),complement(esk3_0)))))))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_28]),c_0_87]) ).
cnf(c_0_116,negated_conjecture,
join(complement(esk3_0),complement(join(complement(esk2_0),complement(join(esk1_0,complement(join(complement(esk2_0),complement(esk3_0)))))))) = join(esk2_0,complement(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_28]),c_0_28]) ).
cnf(c_0_117,negated_conjecture,
join(complement(esk2_0),join(complement(esk3_0),complement(join(esk1_0,complement(join(complement(esk2_0),complement(esk3_0))))))) = join(complement(esk2_0),complement(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_116]),c_0_89]),c_0_28]),c_0_57]),c_0_59]) ).
cnf(c_0_118,negated_conjecture,
join(esk2_0,complement(join(esk1_0,X1))) = join(esk2_0,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_80]),c_0_73]) ).
cnf(c_0_119,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_33]),c_0_53]) ).
cnf(c_0_120,negated_conjecture,
join(complement(esk3_0),join(complement(esk1_0),X1)) = join(complement(esk1_0),X1),
inference(spm,[status(thm)],[c_0_34,c_0_71]) ).
cnf(c_0_121,negated_conjecture,
join(esk1_0,meet(esk2_0,esk3_0)) != meet(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_122,negated_conjecture,
join(complement(esk1_0),complement(join(complement(esk2_0),complement(esk3_0)))) = top,
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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_117]),c_0_34]),c_0_57]),c_0_34]),c_0_28]),c_0_118]),c_0_57]),c_0_119]),c_0_49]),c_0_28]),c_0_89]),c_0_28]),c_0_120]) ).
cnf(c_0_123,negated_conjecture,
join(esk1_0,complement(join(complement(esk2_0),complement(esk3_0)))) != complement(join(complement(esk2_0),complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_31]),c_0_31]) ).
cnf(c_0_124,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_89,c_0_122]),c_0_42]),c_0_79]),c_0_57]),c_0_28]),c_0_123]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL047+1 : 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 : n016.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:13:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 5.25/1.33 % Version: 3.5.1
% 5.25/1.33 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.25/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.25/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.25/1.33 % Starting new_bool_3 with 300s (1) cores
% 5.25/1.33 % Starting new_bool_1 with 300s (1) cores
% 5.25/1.33 % Starting sh5l with 300s (1) cores
% 5.25/1.33 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1525853 completed with status 0
% 5.25/1.33 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.25/1.33 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.25/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.25/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.25/1.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.25/1.33 % No SInE strategy applied
% 5.25/1.33 % Search class: FUUPM-FFSF21-MFFFFFNN
% 5.25/1.33 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 5.25/1.33 % Starting SubtermCWHack with 136s (1) cores
% 5.25/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.25/1.33 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 5.25/1.33 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 5.25/1.33 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 5.25/1.33 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1525858 completed with status 0
% 5.25/1.33 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.25/1.33 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.25/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.25/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.25/1.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.25/1.33 % No SInE strategy applied
% 5.25/1.33 % Search class: FUUPM-FFSF21-MFFFFFNN
% 5.25/1.33 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 5.25/1.33 % Starting SubtermCWHack with 136s (1) cores
% 5.25/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.25/1.33 % Preprocessing time : 0.001 s
% 5.25/1.33 % Presaturation interreduction done
% 5.25/1.33
% 5.25/1.33 % Proof found!
% 5.25/1.33 % SZS status Theorem
% 5.25/1.33 % SZS output start CNFRefutation
% See solution above
% 5.25/1.33 % Parsed axioms : 14
% 5.25/1.33 % Removed by relevancy pruning/SinE : 0
% 5.25/1.33 % Initial clauses : 16
% 5.25/1.33 % Removed in clause preprocessing : 1
% 5.25/1.33 % Initial clauses in saturation : 15
% 5.25/1.33 % Processed clauses : 3974
% 5.25/1.33 % ...of these trivial : 2701
% 5.25/1.33 % ...subsumed : 415
% 5.25/1.33 % ...remaining for further processing : 857
% 5.25/1.33 % Other redundant clauses eliminated : 0
% 5.25/1.33 % Clauses deleted for lack of memory : 0
% 5.25/1.33 % Backward-subsumed : 0
% 5.25/1.33 % Backward-rewritten : 228
% 5.25/1.33 % Generated clauses : 77667
% 5.25/1.33 % ...of the previous two non-redundant : 37187
% 5.25/1.33 % ...aggressively subsumed : 0
% 5.25/1.33 % Contextual simplify-reflections : 0
% 5.25/1.33 % Paramodulations : 77667
% 5.25/1.33 % Factorizations : 0
% 5.25/1.33 % NegExts : 0
% 5.25/1.33 % Equation resolutions : 0
% 5.25/1.33 % Disequality decompositions : 0
% 5.25/1.33 % Total rewrite steps : 152225
% 5.25/1.33 % ...of those cached : 131737
% 5.25/1.33 % Propositional unsat checks : 0
% 5.25/1.33 % Propositional check models : 0
% 5.25/1.33 % Propositional check unsatisfiable : 0
% 5.25/1.33 % Propositional clauses : 0
% 5.25/1.33 % Propositional clauses after purity: 0
% 5.25/1.33 % Propositional unsat core size : 0
% 5.25/1.33 % Propositional preprocessing time : 0.000
% 5.25/1.33 % Propositional encoding time : 0.000
% 5.25/1.33 % Propositional solver time : 0.000
% 5.25/1.33 % Success case prop preproc time : 0.000
% 5.25/1.33 % Success case prop encoding time : 0.000
% 5.25/1.33 % Success case prop solver time : 0.000
% 5.25/1.33 % Current number of processed clauses : 614
% 5.25/1.33 % Positive orientable unit clauses : 604
% 5.25/1.33 % Positive unorientable unit clauses: 9
% 5.25/1.33 % Negative unit clauses : 1
% 5.25/1.33 % Non-unit-clauses : 0
% 5.25/1.33 % Current number of unprocessed clauses: 32608
% 5.25/1.33 % ...number of literals in the above : 32608
% 5.25/1.33 % Current number of archived formulas : 0
% 5.25/1.33 % Current number of archived clauses : 244
% 5.25/1.33 % Clause-clause subsumption calls (NU) : 0
% 5.25/1.33 % Rec. Clause-clause subsumption calls : 0
% 5.25/1.33 % Non-unit clause-clause subsumptions : 0
% 5.25/1.33 % Unit Clause-clause subsumption calls : 79
% 5.25/1.33 % Rewrite failures with RHS unbound : 0
% 5.25/1.33 % BW rewrite match attempts : 7763
% 5.25/1.33 % BW rewrite match successes : 417
% 5.25/1.33 % Condensation attempts : 0
% 5.25/1.33 % Condensation successes : 0
% 5.25/1.33 % Termbank termtop insertions : 1081067
% 5.25/1.33 % Search garbage collected termcells : 42
% 5.25/1.33
% 5.25/1.33 % -------------------------------------------------
% 5.25/1.33 % User time : 0.829 s
% 5.25/1.33 % System time : 0.045 s
% 5.25/1.33 % Total time : 0.874 s
% 5.25/1.33 % Maximum resident set size: 3392 pages
% 5.25/1.33
% 5.25/1.33 % -------------------------------------------------
% 5.25/1.33 % User time : 4.110 s
% 5.25/1.33 % System time : 0.225 s
% 5.25/1.33 % Total time : 4.335 s
% 5.25/1.33 % Maximum resident set size: 4608 pages
% 5.25/1.33 % E exiting
%------------------------------------------------------------------------------