%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC377+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 : Tue Jul 19 20:28:22 EDT 2022
% Result : Theorem 0.30s 7.49s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 105 ( 14 unt; 0 def)
% Number of atoms : 391 ( 126 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 488 ( 202 ~; 212 |; 29 &)
% ( 4 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(cons(X6,nil),X7) != X3
| app(X7,cons(X6,nil)) != X4 ) ) )
& neq(X4,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(cons(X6,nil),X7) != X3
| app(X7,cons(X6,nil)) != X4 ) ) )
& neq(X4,nil) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_16,negated_conjecture,
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ssItem(esk5_0)
& ( memberP(esk2_0,esk5_0)
| memberP(esk1_0,esk5_0) )
& ( ~ memberP(esk2_0,esk5_0)
| ~ memberP(esk1_0,esk5_0) )
& ( nil = esk3_0
| nil != esk4_0 )
& ( ssItem(esk6_0)
| ~ neq(esk4_0,nil) )
& ( ssList(esk7_0)
| ~ neq(esk4_0,nil) )
& ( app(cons(esk6_0,nil),esk7_0) = esk3_0
| ~ neq(esk4_0,nil) )
& ( app(esk7_0,cons(esk6_0,nil)) = esk4_0
| ~ neq(esk4_0,nil) ) ),
inference(distribute,[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)],[inference(fof_simplification,[status(thm)],[c_0_15])])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( app(esk7_0,cons(esk6_0,nil)) = esk4_0
| ~ neq(esk4_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_18,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssList(X4)
| ~ ssList(X3) )
& ( X3 = X4
| neq(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( ssList(esk7_0)
| ~ neq(esk4_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])])]) ).
cnf(c_0_22,negated_conjecture,
( app(esk7_0,cons(esk6_0,nil)) = esk2_0
| ~ neq(esk2_0,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_23,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_25,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( ssList(esk7_0)
| ~ neq(esk2_0,nil) ),
inference(rw,[status(thm)],[c_0_20,c_0_18]) ).
fof(c_0_27,plain,
! [X4,X5,X6] :
( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X5,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])])])]) ).
fof(c_0_28,plain,
! [X3,X4] :
( ( nil = X4
| nil != app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) )
& ( nil = X3
| nil != app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) )
& ( nil != X4
| nil != X3
| nil = app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])])]) ).
fof(c_0_29,plain,
! [X2] :
( ~ ssItem(X2)
| ~ memberP(nil,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])]) ).
cnf(c_0_30,negated_conjecture,
( app(cons(esk6_0,nil),esk7_0) = esk3_0
| ~ neq(esk4_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( ssItem(esk6_0)
| ~ neq(esk4_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( app(esk7_0,cons(esk6_0,nil)) = esk2_0
| nil = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_35,negated_conjecture,
( nil = esk2_0
| ssList(esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_24]),c_0_25])]) ).
fof(c_0_36,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_37,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| cons(X4,X3) = app(cons(X4,nil),X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).
cnf(c_0_41,negated_conjecture,
( app(cons(esk6_0,nil),esk7_0) = esk1_0
| ~ neq(esk2_0,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_18]) ).
cnf(c_0_42,negated_conjecture,
( ssItem(esk6_0)
| ~ neq(esk2_0,nil) ),
inference(rw,[status(thm)],[c_0_32,c_0_18]) ).
fof(c_0_43,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssItem(X6)
| cons(X6,app(X5,X4)) = app(cons(X6,X5),X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])])]) ).
cnf(c_0_44,negated_conjecture,
( app(esk7_0,app(cons(esk6_0,nil),X1)) = app(esk2_0,X1)
| nil = esk2_0
| ~ ssList(cons(esk6_0,nil))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_46,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| ssList(app(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])])]) ).
fof(c_0_47,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_48,plain,
( nil != X1
| nil != X2
| ~ memberP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( memberP(esk1_0,esk5_0)
| memberP(esk2_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_50,negated_conjecture,
ssItem(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_51,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| nil != cons(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])])]) ).
cnf(c_0_52,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,negated_conjecture,
( app(cons(esk6_0,nil),esk7_0) = esk1_0
| nil = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_54,negated_conjecture,
( nil = esk2_0
| ssItem(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_55,plain,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
( nil = X1
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_57,negated_conjecture,
( app(esk7_0,cons(esk6_0,nil)) = app(esk2_0,nil)
| nil = esk2_0
| ~ ssList(cons(esk6_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_24])]) ).
fof(c_0_58,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| ssList(cons(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])])]) ).
cnf(c_0_59,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_61,negated_conjecture,
( memberP(esk1_0,esk5_0)
| nil != esk2_0
| nil != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25]),c_0_50])]) ).
cnf(c_0_62,plain,
( nil != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( cons(esk6_0,esk7_0) = esk1_0
| nil = esk2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_35]) ).
cnf(c_0_64,plain,
( nil = X2
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_65,plain,
( cons(X1,nil) = app(cons(X1,X2),X3)
| nil != X3
| nil != X2
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_38]) ).
cnf(c_0_66,negated_conjecture,
( nil = esk2_0
| nil = esk7_0
| app(esk2_0,nil) != nil
| ~ ssList(cons(esk6_0,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_35]) ).
cnf(c_0_67,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
( nil = esk3_0
| nil != esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_69,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_33]),c_0_24])]),c_0_59]) ).
cnf(c_0_70,plain,
( app(nil,app(X1,X2)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_60]),c_0_24])]) ).
cnf(c_0_71,negated_conjecture,
( memberP(esk1_0,esk5_0)
| nil != esk2_0 ),
inference(spm,[status(thm)],[c_0_61,c_0_25]) ).
cnf(c_0_72,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_73,negated_conjecture,
( nil = esk2_0
| nil != esk1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_54]),c_0_35]) ).
cnf(c_0_74,negated_conjecture,
( cons(esk6_0,nil) = nil
| nil = esk2_0
| app(esk2_0,nil) != nil
| ~ ssList(cons(esk6_0,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_57]),c_0_35]) ).
cnf(c_0_75,negated_conjecture,
( cons(esk6_0,nil) = esk1_0
| nil = esk2_0
| nil != esk7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_65]),c_0_24])]),c_0_54]),c_0_35]) ).
cnf(c_0_76,negated_conjecture,
( nil = esk7_0
| nil = esk2_0
| app(esk2_0,nil) != nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_24])]),c_0_54]) ).
cnf(c_0_77,negated_conjecture,
( nil = esk1_0
| nil != esk2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_31]),c_0_18]) ).
cnf(c_0_78,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_24])]) ).
cnf(c_0_79,negated_conjecture,
( nil != esk1_0
| nil != X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_71]),c_0_72]),c_0_50])]),c_0_73]) ).
cnf(c_0_80,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_81,plain,
! [X4,X5,X6] :
( ( ~ memberP(cons(X5,X6),X4)
| X4 = X5
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) )
& ( X4 != X5
| memberP(cons(X5,X6),X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(cons(X5,X6),X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])])])]) ).
cnf(c_0_82,negated_conjecture,
( nil = esk1_0
| app(esk2_0,nil) != nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_72])]),c_0_76]),c_0_77]) ).
cnf(c_0_83,plain,
( app(X1,nil) = nil
| nil != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_78]),c_0_24])]) ).
cnf(c_0_84,negated_conjecture,
nil != esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_25]),c_0_73]) ).
cnf(c_0_85,negated_conjecture,
( app(esk2_0,esk7_0) = app(esk7_0,esk1_0)
| nil = esk2_0
| ~ ssList(cons(esk6_0,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_35]) ).
cnf(c_0_86,negated_conjecture,
( nil = esk2_0
| memberP(esk2_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssList(cons(esk6_0,nil))
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_34]),c_0_35]) ).
cnf(c_0_87,plain,
( memberP(cons(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,negated_conjecture,
nil != esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_25])]),c_0_84]) ).
cnf(c_0_89,plain,
( memberP(X3,X1)
| memberP(X2,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(app(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_90,negated_conjecture,
( app(esk2_0,esk7_0) = app(esk7_0,esk1_0)
| nil = esk2_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_67]),c_0_24])]),c_0_54]) ).
cnf(c_0_91,negated_conjecture,
( nil = esk2_0
| memberP(esk2_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_67]),c_0_24])]),c_0_54]) ).
cnf(c_0_92,plain,
( memberP(app(cons(X1,nil),X2),X3)
| ~ memberP(X2,X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_52]) ).
cnf(c_0_93,negated_conjecture,
app(cons(esk6_0,nil),esk7_0) = esk1_0,
inference(sr,[status(thm)],[c_0_53,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
ssList(esk7_0),
inference(sr,[status(thm)],[c_0_35,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
ssItem(esk6_0),
inference(sr,[status(thm)],[c_0_54,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( nil = esk2_0
| memberP(esk2_0,X1)
| ~ memberP(app(esk7_0,esk1_0),X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_25])]),c_0_35]),c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( nil = esk2_0
| memberP(app(esk7_0,esk1_0),X1)
| ~ memberP(esk2_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_90]),c_0_25])]),c_0_35]) ).
cnf(c_0_98,negated_conjecture,
( memberP(esk1_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95])]) ).
cnf(c_0_99,negated_conjecture,
( ~ memberP(esk1_0,esk5_0)
| ~ memberP(esk2_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_100,negated_conjecture,
( nil = esk2_0
| memberP(esk2_0,X1)
| ~ memberP(esk1_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_37]),c_0_72])]),c_0_35]) ).
cnf(c_0_101,negated_conjecture,
( memberP(esk1_0,X1)
| ~ memberP(esk2_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_97]),c_0_72])]),c_0_94])]),c_0_88]),c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( nil = esk2_0
| ~ memberP(esk1_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_50])]) ).
cnf(c_0_103,negated_conjecture,
memberP(esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_49]),c_0_50])]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC377+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 12 21:14:21 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.30/7.49 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.30/7.49 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.30/7.49 # Preprocessing time : 0.021 s
% 0.30/7.49
% 0.30/7.49 # Proof found!
% 0.30/7.49 # SZS status Theorem
% 0.30/7.49 # SZS output start CNFRefutation
% See solution above
% 0.30/7.49 # Proof object total steps : 105
% 0.30/7.49 # Proof object clause steps : 75
% 0.30/7.49 # Proof object formula steps : 30
% 0.30/7.49 # Proof object conjectures : 53
% 0.30/7.49 # Proof object clause conjectures : 50
% 0.30/7.49 # Proof object formula conjectures : 3
% 0.30/7.49 # Proof object initial clauses used : 30
% 0.30/7.49 # Proof object initial formulas used : 15
% 0.30/7.49 # Proof object generating inferences : 36
% 0.30/7.49 # Proof object simplifying inferences : 98
% 0.30/7.49 # Training examples: 0 positive, 0 negative
% 0.30/7.49 # Parsed axioms : 96
% 0.30/7.49 # Removed by relevancy pruning/SinE : 73
% 0.30/7.49 # Initial clauses : 52
% 0.30/7.49 # Removed in clause preprocessing : 0
% 0.30/7.49 # Initial clauses in saturation : 52
% 0.30/7.49 # Processed clauses : 40737
% 0.30/7.49 # ...of these trivial : 473
% 0.30/7.49 # ...subsumed : 37417
% 0.30/7.49 # ...remaining for further processing : 2847
% 0.30/7.49 # Other redundant clauses eliminated : 14
% 0.30/7.49 # Clauses deleted for lack of memory : 0
% 0.30/7.49 # Backward-subsumed : 247
% 0.30/7.49 # Backward-rewritten : 164
% 0.30/7.49 # Generated clauses : 183857
% 0.30/7.49 # ...of the previous two non-trivial : 175560
% 0.30/7.49 # Contextual simplify-reflections : 16222
% 0.30/7.49 # Paramodulations : 183769
% 0.30/7.49 # Factorizations : 0
% 0.30/7.49 # Equation resolutions : 73
% 0.30/7.49 # Current number of processed clauses : 2418
% 0.30/7.49 # Positive orientable unit clauses : 88
% 0.30/7.49 # Positive unorientable unit clauses: 0
% 0.30/7.49 # Negative unit clauses : 109
% 0.30/7.49 # Non-unit-clauses : 2221
% 0.30/7.49 # Current number of unprocessed clauses: 121683
% 0.30/7.49 # ...number of literals in the above : 549509
% 0.30/7.49 # Current number of archived formulas : 0
% 0.30/7.49 # Current number of archived clauses : 426
% 0.30/7.49 # Clause-clause subsumption calls (NU) : 12685693
% 0.30/7.49 # Rec. Clause-clause subsumption calls : 7652021
% 0.30/7.49 # Non-unit clause-clause subsumptions : 26695
% 0.30/7.49 # Unit Clause-clause subsumption calls : 38423
% 0.30/7.49 # Rewrite failures with RHS unbound : 0
% 0.30/7.49 # BW rewrite match attempts : 513
% 0.30/7.49 # BW rewrite match successes : 42
% 0.30/7.49 # Condensation attempts : 0
% 0.30/7.49 # Condensation successes : 0
% 0.30/7.49 # Termbank termtop insertions : 3484648
% 0.30/7.49
% 0.30/7.49 # -------------------------------------------------
% 0.30/7.49 # User time : 6.256 s
% 0.30/7.49 # System time : 0.061 s
% 0.30/7.49 # Total time : 6.317 s
% 0.30/7.49 # Maximum resident set size: 96800 pages
% 0.30/23.44 eprover: CPU time limit exceeded, terminating
% 0.30/23.45 eprover: CPU time limit exceeded, terminating
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46 eprover: No such file or directory
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.47 eprover: CPU time limit exceeded, terminating
% 0.30/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------