TSTP Solution File: REL042+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL042+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Mon Jul 18 19:20:13 EDT 2022
% Result : Theorem 0.21s 1.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 16
% Syntax : Number of formulae : 169 ( 166 unt; 0 def)
% Number of atoms : 172 ( 171 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 237 ( 13 sgn 71 !; 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(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(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(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(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(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_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(modular_law_1,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_1) ).
fof(goals,conjecture,
! [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
=> join(composition(converse(X1),X1),one) = one ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(modular_law_2,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_2) ).
fof(dedekind_law,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',dedekind_law) ).
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(c_0_16,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_17,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[composition_identity]) ).
fof(c_0_18,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_19,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_20,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_21,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_22,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_25,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_33,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_34,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = join(complement(X2),complement(complement(X2))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_23,c_0_34]) ).
cnf(c_0_38,plain,
complement(join(complement(join(zero,X1)),complement(join(zero,complement(X1))))) = zero,
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_39,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_40,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_41,plain,
complement(join(complement(join(X1,zero)),complement(join(zero,complement(X1))))) = zero,
inference(spm,[status(thm)],[c_0_38,c_0_26]) ).
cnf(c_0_42,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37]),c_0_40]) ).
cnf(c_0_43,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_44,plain,
complement(join(complement(join(zero,complement(X1))),complement(join(X1,zero)))) = zero,
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_45,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_42]),c_0_32]),c_0_26]) ).
fof(c_0_46,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_47,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_43]) ).
cnf(c_0_48,plain,
complement(join(complement(X1),complement(join(zero,complement(X1))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_26]) ).
cnf(c_0_49,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,plain,
join(zero,complement(join(zero,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_42]) ).
cnf(c_0_51,plain,
complement(join(zero,complement(zero))) = zero,
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_52,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
fof(c_0_53,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
fof(c_0_54,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_55,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_56,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_57,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_52]),c_0_52]) ).
cnf(c_0_58,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_59,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),X1))) = X2,
inference(spm,[status(thm)],[c_0_26,c_0_55]) ).
cnf(c_0_62,plain,
complement(join(complement(zero),complement(join(X1,complement(X1))))) = zero,
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_41,c_0_32]),c_0_49]),c_0_26]),c_0_45]),c_0_56]),c_0_26]),c_0_26]) ).
cnf(c_0_63,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_49]) ).
cnf(c_0_64,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_57]) ).
cnf(c_0_65,plain,
join(complement(one),join(composition(converse(zero),zero),composition(converse(complement(zero)),zero))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_59]),c_0_60]) ).
cnf(c_0_66,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_67,plain,
join(zero,complement(join(complement(zero),complement(complement(join(X1,complement(X1))))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_26]),c_0_26]) ).
fof(c_0_68,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6)) = meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),
inference(variable_rename,[status(thm)],[modular_law_1]) ).
cnf(c_0_69,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_49]),c_0_64]) ).
cnf(c_0_70,plain,
join(composition(converse(zero),zero),join(composition(converse(zero),complement(zero)),converse(complement(one)))) = converse(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_59,c_0_65]),c_0_59]),c_0_22]),c_0_30]),c_0_22]),c_0_30]),c_0_66]),c_0_26]),c_0_63]) ).
fof(c_0_71,negated_conjecture,
~ ! [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
=> join(composition(converse(X1),X1),one) = one ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_72,plain,
join(complement(join(X1,join(X2,complement(X3)))),complement(join(complement(X3),complement(join(X1,X2))))) = X3,
inference(spm,[status(thm)],[c_0_31,c_0_66]) ).
cnf(c_0_73,plain,
complement(join(complement(zero),join(X1,complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_52]),c_0_57]) ).
cnf(c_0_74,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_52,c_0_57]) ).
cnf(c_0_75,plain,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
join(composition(converse(zero),zero),converse(complement(one))) = converse(complement(one)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_77,negated_conjecture,
! [X4] :
( meet(composition(esk1_0,X4),composition(esk1_0,complement(X4))) = zero
& join(composition(converse(esk1_0),esk1_0),one) != one ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])])]) ).
cnf(c_0_78,plain,
complement(join(X1,complement(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_57]),c_0_26]) ).
cnf(c_0_79,plain,
complement(join(complement(X1),complement(join(complement(zero),X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_80,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_81,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_57]),c_0_66]),c_0_26]) ).
cnf(c_0_82,plain,
join(complement(one),composition(converse(zero),zero)) = complement(one),
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_59,c_0_76]),c_0_30]),c_0_22]),c_0_30]),c_0_30]),c_0_26]) ).
cnf(c_0_83,negated_conjecture,
meet(composition(esk1_0,X1),composition(esk1_0,complement(X1))) = zero,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
complement(join(X1,join(complement(X1),complement(join(complement(zero),X1))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_49]),c_0_26]),c_0_63]) ).
cnf(c_0_85,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_26]),c_0_26]) ).
cnf(c_0_86,plain,
join(complement(one),complement(join(one,join(complement(one),complement(composition(converse(zero),zero)))))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_57]),c_0_26]),c_0_63]) ).
cnf(c_0_87,negated_conjecture,
complement(join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(X1))))) = zero,
inference(rw,[status(thm)],[c_0_83,c_0_28]) ).
cnf(c_0_88,plain,
join(zero,complement(join(complement(X1),complement(complement(complement(X1)))))) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_89,plain,
complement(join(complement(zero),join(X1,complement(join(complement(zero),X1))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_69]),c_0_64]),c_0_49]) ).
cnf(c_0_90,plain,
join(complement(join(complement(X1),complement(X2))),join(X3,complement(join(complement(X2),X1)))) = join(X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_55]) ).
cnf(c_0_91,plain,
join(complement(join(complement(X1),complement(composition(X2,X3)))),complement(join(complement(X1),complement(composition(X2,complement(join(complement(X3),complement(composition(converse(X2),X1))))))))) = complement(join(complement(X1),complement(composition(X2,complement(join(complement(X3),complement(composition(converse(X2),X1)))))))),
inference(spm,[status(thm)],[c_0_85,c_0_26]) ).
cnf(c_0_92,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_26]),c_0_26]) ).
cnf(c_0_93,plain,
join(one,complement(join(one,join(complement(one),complement(composition(converse(zero),zero)))))) = 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_55,c_0_86]),c_0_57]),c_0_57]),c_0_49]),c_0_49]),c_0_26]),c_0_69]) ).
cnf(c_0_94,plain,
join(X1,complement(X1)) = complement(zero),
inference(spm,[status(thm)],[c_0_57,c_0_78]) ).
cnf(c_0_95,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(esk1_0,complement(one))))) = zero,
inference(spm,[status(thm)],[c_0_87,c_0_23]) ).
cnf(c_0_96,plain,
join(zero,complement(join(zero,complement(complement(zero))))) = join(zero,complement(zero)),
inference(spm,[status(thm)],[c_0_88,c_0_51]) ).
cnf(c_0_97,plain,
complement(join(X1,join(complement(zero),complement(join(complement(zero),X1))))) = zero,
inference(spm,[status(thm)],[c_0_89,c_0_63]) ).
cnf(c_0_98,plain,
join(X1,complement(join(complement(X1),complement(composition(X2,X3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_57]),c_0_43]),c_0_26]) ).
cnf(c_0_99,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1))))) = X2,
inference(spm,[status(thm)],[c_0_31,c_0_66]) ).
cnf(c_0_100,plain,
join(one,join(complement(one),complement(composition(converse(zero),zero)))) = complement(zero),
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_93]),c_0_86]),c_0_57]),c_0_26]),c_0_94]) ).
cnf(c_0_101,negated_conjecture,
join(complement(esk1_0),complement(composition(esk1_0,complement(one)))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_95]),c_0_96]) ).
cnf(c_0_102,negated_conjecture,
join(zero,complement(join(complement(esk1_0),composition(esk1_0,complement(one))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_95]),c_0_26]) ).
cnf(c_0_103,plain,
complement(join(complement(zero),composition(X1,X2))) = zero,
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_97,c_0_98]),c_0_57]),c_0_52]),c_0_57]),c_0_57]),c_0_26]),c_0_52]),c_0_26]) ).
cnf(c_0_104,plain,
join(X1,complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_69,c_0_94]) ).
cnf(c_0_105,plain,
join(converse(complement(join(complement(X1),X2))),converse(complement(join(complement(X1),complement(X2))))) = converse(X1),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_106,plain,
complement(join(complement(one),complement(join(one,complement(composition(converse(zero),zero)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_57]),c_0_26]),c_0_74]) ).
cnf(c_0_107,plain,
join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_108,plain,
join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_31]),c_0_66]),c_0_26]),c_0_26]) ).
cnf(c_0_109,negated_conjecture,
join(complement(esk1_0),complement(composition(esk1_0,complement(one)))) = complement(zero),
inference(rw,[status(thm)],[c_0_101,c_0_52]) ).
cnf(c_0_110,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,complement(one))) = join(zero,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_50,c_0_102]) ).
cnf(c_0_111,plain,
complement(join(complement(zero),X1)) = zero,
inference(spm,[status(thm)],[c_0_103,c_0_40]) ).
cnf(c_0_112,plain,
join(converse(X1),converse(complement(zero))) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_59,c_0_104]) ).
cnf(c_0_113,plain,
join(one,converse(zero)) = 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_105,c_0_106]),c_0_37]),c_0_57]),c_0_63]),c_0_100]),c_0_57]),c_0_37]) ).
fof(c_0_114,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(meet(X4,composition(X6,converse(X5))),X5),X6)) = meet(composition(meet(X4,composition(X6,converse(X5))),X5),X6),
inference(variable_rename,[status(thm)],[modular_law_2]) ).
cnf(c_0_115,plain,
composition(X1,complement(composition(converse(X1),join(X2,complement(X2))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_78]),c_0_74]) ).
cnf(c_0_116,negated_conjecture,
join(esk1_0,complement(esk1_0)) = complement(zero),
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_108,c_0_109]),c_0_57]),c_0_57]),c_0_26]),c_0_52]),c_0_26]),c_0_110]),c_0_52]),c_0_57]),c_0_26]) ).
cnf(c_0_117,plain,
join(complement(zero),X1) = complement(zero),
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_31,c_0_111]),c_0_74]),c_0_52]),c_0_57]),c_0_26]),c_0_94]) ).
cnf(c_0_118,plain,
join(X1,converse(complement(zero))) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_112,c_0_30]) ).
cnf(c_0_119,plain,
join(X1,composition(converse(zero),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_113]),c_0_40]),c_0_40]) ).
fof(c_0_120,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6)))) = composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6))),
inference(variable_rename,[status(thm)],[dedekind_law]) ).
cnf(c_0_121,plain,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_122,negated_conjecture,
composition(X1,complement(composition(converse(X1),complement(zero)))) = zero,
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
converse(complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,plain,
composition(converse(zero),zero) = zero,
inference(spm,[status(thm)],[c_0_74,c_0_119]) ).
cnf(c_0_125,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_66,c_0_64]) ).
cnf(c_0_126,plain,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_127,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3)))) = complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_128,negated_conjecture,
composition(complement(zero),complement(composition(complement(zero),complement(zero)))) = zero,
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_124]),c_0_30]),c_0_124]) ).
cnf(c_0_130,plain,
join(complement(zero),join(complement(one),complement(composition(converse(zero),zero)))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_100]),c_0_49]),c_0_26]),c_0_63]) ).
fof(c_0_131,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_132,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_133,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),complement(composition(X1,complement(join(complement(one),complement(composition(converse(X1),X2))))))))) = complement(join(complement(X2),complement(composition(X1,complement(join(complement(one),complement(composition(converse(X1),X2)))))))),
inference(spm,[status(thm)],[c_0_85,c_0_23]) ).
cnf(c_0_134,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_74]) ).
cnf(c_0_135,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_26]),c_0_26]) ).
cnf(c_0_136,plain,
join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_39]),c_0_22]),c_0_30]) ).
cnf(c_0_137,negated_conjecture,
composition(converse(complement(composition(complement(zero),complement(zero)))),complement(zero)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_128]),c_0_129]),c_0_123]) ).
cnf(c_0_138,plain,
join(composition(complement(join(complement(X1),complement(X2))),X3),composition(complement(join(complement(X2),X1)),X3)) = composition(X2,X3),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_139,plain,
join(complement(zero),complement(one)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_124]),c_0_26]),c_0_69]) ).
cnf(c_0_140,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_141,plain,
join(complement(join(complement(composition(converse(X1),X2)),complement(X3))),composition(complement(join(complement(converse(X1)),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(X1,X3)))))) = composition(complement(join(complement(converse(X1)),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(X1,X3))))),
inference(spm,[status(thm)],[c_0_132,c_0_30]) ).
cnf(c_0_142,negated_conjecture,
composition(zero,complement(composition(zero,complement(zero)))) = zero,
inference(spm,[status(thm)],[c_0_122,c_0_129]) ).
cnf(c_0_143,plain,
complement(join(complement(X1),complement(zero))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_111]),c_0_134]) ).
cnf(c_0_144,plain,
composition(zero,zero) = zero,
inference(rw,[status(thm)],[c_0_124,c_0_129]) ).
cnf(c_0_145,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(one),complement(composition(X2,converse(X1))))),X1))))) = complement(join(complement(X2),complement(composition(complement(join(complement(one),complement(composition(X2,converse(X1))))),X1)))),
inference(spm,[status(thm)],[c_0_135,c_0_40]) ).
cnf(c_0_146,negated_conjecture,
composition(complement(zero),converse(complement(composition(complement(zero),complement(zero))))) = zero,
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_136,c_0_137]),c_0_57]),c_0_129]),c_0_123]),c_0_74]),c_0_57]),c_0_129]) ).
cnf(c_0_147,plain,
join(X1,composition(zero,X1)) = X1,
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_138,c_0_139]),c_0_57]),c_0_134]),c_0_57]),c_0_40]),c_0_40]),c_0_26]) ).
cnf(c_0_148,plain,
join(composition(complement(X1),X2),composition(converse(X3),composition(complement(composition(X3,X1)),X2))) = composition(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_39]),c_0_140]) ).
cnf(c_0_149,negated_conjecture,
composition(complement(composition(complement(zero),complement(zero))),complement(zero)) = zero,
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_137]),c_0_57]),c_0_30]),c_0_74]),c_0_57]) ).
cnf(c_0_150,negated_conjecture,
complement(join(complement(composition(zero,X1)),composition(zero,complement(zero)))) = zero,
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_141,c_0_142]),c_0_129]),c_0_57]),c_0_129]),c_0_111]),c_0_143]),c_0_144]),c_0_134]),c_0_129]),c_0_111]),c_0_143]),c_0_144]) ).
cnf(c_0_151,negated_conjecture,
composition(zero,complement(composition(complement(zero),complement(zero)))) = complement(composition(complement(zero),complement(zero))),
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_145,c_0_146]),c_0_57]),c_0_57]),c_0_134]),c_0_57]),c_0_143]),c_0_74]),c_0_57]),c_0_147]),c_0_57]),c_0_143]),c_0_74]),c_0_57]) ).
cnf(c_0_152,negated_conjecture,
join(composition(zero,complement(zero)),composition(complement(zero),zero)) = composition(zero,complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_57]),c_0_123]),c_0_57]) ).
cnf(c_0_153,plain,
join(complement(X1),join(composition(converse(X2),complement(join(composition(X2,X1),composition(X3,X1)))),composition(converse(X3),complement(join(composition(X2,X1),composition(X3,X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_59]),c_0_60]),c_0_60]) ).
cnf(c_0_154,negated_conjecture,
complement(join(composition(zero,complement(zero)),composition(complement(zero),complement(zero)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_57]),c_0_26]) ).
cnf(c_0_155,negated_conjecture,
composition(complement(zero),zero) = composition(zero,complement(zero)),
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_59,c_0_152]),c_0_22]),c_0_123]),c_0_129]),c_0_22]),c_0_123]),c_0_129]),c_0_22]),c_0_129]),c_0_123]),c_0_26]),c_0_152]) ).
cnf(c_0_156,negated_conjecture,
composition(zero,complement(zero)) = zero,
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_154]),c_0_57]),c_0_129]),c_0_144]),c_0_123]),c_0_155]),c_0_74]),c_0_74]),c_0_57]) ).
cnf(c_0_157,plain,
join(complement(join(complement(composition(converse(X1),X2)),complement(X3))),complement(join(complement(X3),complement(composition(converse(X1),complement(join(complement(X2),complement(composition(X1,X3))))))))) = complement(join(complement(X3),complement(composition(converse(X1),complement(join(complement(X2),complement(composition(X1,X3)))))))),
inference(spm,[status(thm)],[c_0_85,c_0_30]) ).
cnf(c_0_158,plain,
join(complement(join(complement(composition(X1,converse(X2))),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,X2)))),complement(join(complement(converse(X2)),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,X2)))),complement(join(complement(converse(X2)),complement(composition(converse(X1),X3))))),
inference(spm,[status(thm)],[c_0_132,c_0_30]) ).
cnf(c_0_159,negated_conjecture,
composition(complement(zero),zero) = zero,
inference(rw,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_160,plain,
complement(join(X1,complement(zero))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_111]),c_0_26]),c_0_52]) ).
cnf(c_0_161,negated_conjecture,
join(complement(join(one,complement(composition(converse(esk1_0),zero)))),complement(join(one,complement(composition(converse(esk1_0),esk1_0))))) = complement(join(one,complement(composition(converse(esk1_0),zero)))),
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_157,c_0_109]),c_0_57]),c_0_57]),c_0_57]),c_0_57]),c_0_57]),c_0_26]),c_0_26]) ).
cnf(c_0_162,negated_conjecture,
composition(X1,zero) = zero,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_129]),c_0_57]),c_0_134]),c_0_57]),c_0_160]),c_0_129]),c_0_117]),c_0_57]),c_0_144]),c_0_134]),c_0_160]),c_0_129]),c_0_117]),c_0_57]),c_0_144]) ).
cnf(c_0_163,negated_conjecture,
complement(join(one,complement(composition(converse(esk1_0),esk1_0)))) = zero,
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_161,c_0_162]),c_0_104]),c_0_57]),c_0_74]),c_0_162]),c_0_104]),c_0_57]) ).
cnf(c_0_164,negated_conjecture,
join(one,complement(composition(converse(esk1_0),esk1_0))) = complement(zero),
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_31,c_0_163]),c_0_74]),c_0_74]),c_0_57]),c_0_26]),c_0_94]) ).
cnf(c_0_165,negated_conjecture,
join(composition(converse(esk1_0),esk1_0),one) != one,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_166,negated_conjecture,
complement(join(complement(one),complement(composition(converse(esk1_0),esk1_0)))) = composition(converse(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_164]),c_0_57]),c_0_134]),c_0_26]) ).
cnf(c_0_167,negated_conjecture,
join(one,composition(converse(esk1_0),esk1_0)) != one,
inference(rw,[status(thm)],[c_0_165,c_0_26]) ).
cnf(c_0_168,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_166]),c_0_167]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL042+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 12:12:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.41 # Preprocessing time : 0.015 s
% 0.21/1.41
% 0.21/1.41 # Proof found!
% 0.21/1.41 # SZS status Theorem
% 0.21/1.41 # SZS output start CNFRefutation
% See solution above
% 0.21/1.41 # Proof object total steps : 169
% 0.21/1.41 # Proof object clause steps : 136
% 0.21/1.41 # Proof object formula steps : 33
% 0.21/1.41 # Proof object conjectures : 32
% 0.21/1.41 # Proof object clause conjectures : 29
% 0.21/1.41 # Proof object formula conjectures : 3
% 0.21/1.41 # Proof object initial clauses used : 17
% 0.21/1.41 # Proof object initial formulas used : 16
% 0.21/1.41 # Proof object generating inferences : 99
% 0.21/1.41 # Proof object simplifying inferences : 251
% 0.21/1.41 # Training examples: 0 positive, 0 negative
% 0.21/1.41 # Parsed axioms : 17
% 0.21/1.41 # Removed by relevancy pruning/SinE : 1
% 0.21/1.41 # Initial clauses : 17
% 0.21/1.41 # Removed in clause preprocessing : 1
% 0.21/1.41 # Initial clauses in saturation : 16
% 0.21/1.41 # Processed clauses : 1218
% 0.21/1.41 # ...of these trivial : 631
% 0.21/1.41 # ...subsumed : 106
% 0.21/1.41 # ...remaining for further processing : 481
% 0.21/1.41 # Other redundant clauses eliminated : 0
% 0.21/1.41 # Clauses deleted for lack of memory : 0
% 0.21/1.41 # Backward-subsumed : 0
% 0.21/1.41 # Backward-rewritten : 334
% 0.21/1.41 # Generated clauses : 38939
% 0.21/1.41 # ...of the previous two non-trivial : 33339
% 0.21/1.41 # Contextual simplify-reflections : 0
% 0.21/1.41 # Paramodulations : 38939
% 0.21/1.41 # Factorizations : 0
% 0.21/1.41 # Equation resolutions : 0
% 0.21/1.41 # Current number of processed clauses : 147
% 0.21/1.41 # Positive orientable unit clauses : 142
% 0.21/1.41 # Positive unorientable unit clauses: 4
% 0.21/1.41 # Negative unit clauses : 1
% 0.21/1.41 # Non-unit-clauses : 0
% 0.21/1.41 # Current number of unprocessed clauses: 10837
% 0.21/1.41 # ...number of literals in the above : 10837
% 0.21/1.41 # Current number of archived formulas : 0
% 0.21/1.41 # Current number of archived clauses : 335
% 0.21/1.41 # Clause-clause subsumption calls (NU) : 0
% 0.21/1.41 # Rec. Clause-clause subsumption calls : 0
% 0.21/1.41 # Non-unit clause-clause subsumptions : 0
% 0.21/1.41 # Unit Clause-clause subsumption calls : 88
% 0.21/1.41 # Rewrite failures with RHS unbound : 58
% 0.21/1.41 # BW rewrite match attempts : 5495
% 0.21/1.41 # BW rewrite match successes : 232
% 0.21/1.41 # Condensation attempts : 0
% 0.21/1.41 # Condensation successes : 0
% 0.21/1.41 # Termbank termtop insertions : 1481927
% 0.21/1.41
% 0.21/1.41 # -------------------------------------------------
% 0.21/1.41 # User time : 0.805 s
% 0.21/1.41 # System time : 0.021 s
% 0.21/1.41 # Total time : 0.826 s
% 0.21/1.41 # Maximum resident set size: 37664 pages
% 0.21/23.40 eprover: CPU time limit exceeded, terminating
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------