%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET769+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 00:53:51 EDT 2022
% Result : Theorem 0.96s 139.14s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 7
% Syntax : Number of formulae : 119 ( 10 unt; 0 def)
% Number of atoms : 642 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 805 ( 282 ~; 419 |; 82 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 319 ( 36 sgn 73 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(equivalence_class,axiom,
! [X7,X4,X1,X3] :
( member(X3,equivalence_class(X1,X4,X7))
<=> ( member(X3,X4)
& apply(X7,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
fof(disjoint,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> ~ ? [X3] :
( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',disjoint) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(thIII05,conjecture,
! [X4,X7,X1,X2] :
( ( equivalence(X7,X4)
& member(X1,X4)
& member(X2,X4) )
=> ( equal_set(equivalence_class(X1,X4,X7),equivalence_class(X2,X4,X7))
<=> ~ disjoint(equivalence_class(X1,X4,X7),equivalence_class(X2,X4,X7)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thIII05) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(c_0_6,plain,
! [X1,X7] :
( epred1_2(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
! [X8,X9,X10,X11,X8,X9,X10,X11] :
( ( member(X11,X9)
| ~ member(X11,equivalence_class(X10,X9,X8)) )
& ( apply(X8,X10,X11)
| ~ member(X11,equivalence_class(X10,X9,X8)) )
& ( ~ member(X11,X9)
| ~ apply(X8,X10,X11)
| member(X11,equivalence_class(X10,X9,X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equivalence_class])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ disjoint(X4,X5)
| ~ member(X6,X4)
| ~ member(X6,X5) )
& ( member(esk5_2(X4,X5),X4)
| disjoint(X4,X5) )
& ( member(esk5_2(X4,X5),X5)
| disjoint(X4,X5) ) ),
inference(distribute,[status(thm)],[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)],[disjoint])])])])])])]) ).
fof(c_0_9,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X8,X9] :
( ( ~ member(X10,X8)
| apply(X9,X10,X10)
| ~ epred1_2(X9,X8) )
& ( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| apply(X9,X12,X11)
| ~ epred1_2(X9,X8) )
& ( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15)
| ~ epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk10_2(X8,X9),esk11_2(X8,X9))
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk10_2(X8,X9),esk12_2(X8,X9))
| ~ apply(X9,esk9_2(X8,X9),esk8_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk7_2(X8,X9))
| epred1_2(X9,X8) ) ),
inference(distribute,[status(thm)],[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_6])])])])])])]) ).
cnf(c_0_10,plain,
( apply(X4,X2,X1)
| ~ member(X1,equivalence_class(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( disjoint(X1,X2)
| member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( apply(X1,X2,esk5_2(X3,equivalence_class(X2,X4,X1)))
| disjoint(X3,equivalence_class(X2,X4,X1)) ),
inference(pm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_6]) ).
cnf(c_0_15,plain,
( apply(X1,X2,esk5_2(X3,equivalence_class(X4,X5,X1)))
| disjoint(X3,equivalence_class(X4,X5,X1))
| ~ epred1_2(X1,X6)
| ~ apply(X1,X2,X4)
| ~ member(esk5_2(X3,equivalence_class(X4,X5,X1)),X6)
| ~ member(X4,X6)
| ~ member(X2,X6) ),
inference(pm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( disjoint(X1,X2)
| member(esk5_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X8,X9,X8,X9] :
( ( ~ equivalence(X9,X8)
| epred1_2(X9,X8) )
& ( ~ epred1_2(X9,X8)
| equivalence(X9,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X4,X7,X1,X2] :
( ( equivalence(X7,X4)
& member(X1,X4)
& member(X2,X4) )
=> ( equal_set(equivalence_class(X1,X4,X7),equivalence_class(X2,X4,X7))
<=> ~ disjoint(equivalence_class(X1,X4,X7),equivalence_class(X2,X4,X7)) ) ),
inference(assume_negation,[status(cth)],[thIII05]) ).
cnf(c_0_19,plain,
( apply(X1,X2,esk5_2(X3,equivalence_class(X4,X5,X1)))
| disjoint(X3,equivalence_class(X4,X5,X1))
| ~ epred1_2(X1,X3)
| ~ apply(X1,X2,X4)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(pm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,negated_conjecture,
( equivalence(esk2_0,esk1_0)
& member(esk3_0,esk1_0)
& member(esk4_0,esk1_0)
& ( ~ equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) )
& ( equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_22,plain,
( apply(X1,X2,esk5_2(X3,equivalence_class(X4,X5,X1)))
| disjoint(X3,equivalence_class(X4,X5,X1))
| ~ apply(X1,X2,X4)
| ~ equivalence(X1,X3)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(pm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
member(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( apply(X1,esk3_0,esk5_2(esk1_0,equivalence_class(X2,X3,X1)))
| disjoint(esk1_0,equivalence_class(X2,X3,X1))
| ~ apply(X1,esk3_0,X2)
| ~ equivalence(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(pm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( apply(X1,X2,X2)
| ~ equivalence(X1,X3)
| ~ member(X2,X3) ),
inference(pm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( apply(X1,esk5_2(esk1_0,equivalence_class(X2,X3,X1)),esk3_0)
| disjoint(esk1_0,equivalence_class(X2,X3,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk3_0,X2)
| ~ equivalence(X1,esk1_0)
| ~ member(esk5_2(esk1_0,equivalence_class(X2,X3,X1)),X4)
| ~ member(esk3_0,X4)
| ~ member(X2,esk1_0) ),
inference(pm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
( apply(X1,esk5_2(esk1_0,equivalence_class(X2,X3,X1)),esk3_0)
| disjoint(esk1_0,equivalence_class(X2,X3,X1))
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk3_0,X2)
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29,c_0_16]),c_0_23])]),c_0_30]) ).
cnf(c_0_33,negated_conjecture,
apply(esk2_0,esk3_0,esk3_0),
inference(pm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_34,plain,
( member(X1,X3)
| ~ member(X1,equivalence_class(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35,negated_conjecture,
( apply(esk2_0,esk5_2(esk1_0,equivalence_class(esk3_0,X1,esk2_0)),esk3_0)
| disjoint(esk1_0,equivalence_class(esk3_0,X1,esk2_0))
| ~ epred1_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_32,c_0_33]),c_0_23])]) ).
cnf(c_0_36,plain,
( disjoint(X1,equivalence_class(X2,X3,X4))
| member(esk5_2(X1,equivalence_class(X2,X3,X4)),X3) ),
inference(pm,[status(thm)],[c_0_34,c_0_11]) ).
cnf(c_0_37,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(esk1_0,equivalence_class(esk3_0,X2,esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X1,esk5_2(esk1_0,equivalence_class(esk3_0,X2,esk2_0)))
| ~ member(esk5_2(esk1_0,equivalence_class(esk3_0,X2,esk2_0)),X3)
| ~ member(esk3_0,X3)
| ~ member(X1,X3) ),
inference(pm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_38,plain,
( apply(X1,X2,esk5_2(X3,equivalence_class(X4,equivalence_class(X2,X5,X1),X6)))
| disjoint(X3,equivalence_class(X4,equivalence_class(X2,X5,X1),X6)) ),
inference(pm,[status(thm)],[c_0_10,c_0_36]) ).
cnf(c_0_39,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(esk1_0,equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk5_2(esk1_0,equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0)),X3)
| ~ member(esk3_0,X3)
| ~ member(X1,X3) ),
inference(pm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_40,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk6_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk6_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[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)],[subset])])])])])])]) ).
cnf(c_0_41,plain,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ disjoint(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_42,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(esk1_0,equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_16]),c_0_23])]) ).
cnf(c_0_43,plain,
( subset(X1,X2)
| member(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
( apply(esk2_0,X1,esk3_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X2,equivalence_class(esk3_0,equivalence_class(X1,X3,esk2_0),esk2_0))
| ~ member(X2,esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
( disjoint(equivalence_class(X1,X2,X3),X4)
| member(esk5_2(equivalence_class(X1,X2,X3),X4),X2) ),
inference(pm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_46,plain,
( member(esk6_2(equivalence_class(X1,X2,X3),X4),X2)
| subset(equivalence_class(X1,X2,X3),X4) ),
inference(pm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_47,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0),X3)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk5_2(equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0),X3),esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_44,c_0_16]) ).
cnf(c_0_48,plain,
( disjoint(equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6)
| member(esk5_2(equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),X3) ),
inference(pm,[status(thm)],[c_0_34,c_0_45]) ).
cnf(c_0_49,plain,
( apply(esk2_0,X1,esk3_0)
| subset(equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0),X3)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk6_2(equivalence_class(esk3_0,equivalence_class(X1,X2,esk2_0),esk2_0),X3),esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_50,plain,
( member(esk6_2(equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),X3)
| subset(equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6) ),
inference(pm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_51,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(esk3_0,equivalence_class(X1,esk1_0,esk2_0),esk2_0),X2)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( apply(esk2_0,X1,esk3_0)
| subset(equivalence_class(esk3_0,equivalence_class(X1,esk1_0,esk2_0),esk2_0),X2)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( apply(esk2_0,X1,esk3_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X2,equivalence_class(esk3_0,equivalence_class(X1,esk1_0,esk2_0),esk2_0))
| ~ member(X1,esk1_0)
| ~ member(X2,X3) ),
inference(pm,[status(thm)],[c_0_41,c_0_51]) ).
cnf(c_0_55,plain,
( apply(esk2_0,X1,esk3_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X2,equivalence_class(esk3_0,equivalence_class(X1,esk1_0,esk2_0),esk2_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_56,plain,
( member(X1,equivalence_class(X2,X3,X4))
| ~ apply(X4,X2,X1)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_57,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| ~ equal_set(X3,X4) )
& ( subset(X4,X3)
| ~ equal_set(X3,X4) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| equal_set(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])])]) ).
cnf(c_0_58,plain,
( apply(esk2_0,X1,esk3_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,esk3_0,X2)
| ~ member(X2,equivalence_class(X1,esk1_0,esk2_0))
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_60,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_61,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( equal_set(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_63,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(X2,equivalence_class(X1,esk1_0,esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,esk3_0,esk5_2(X2,equivalence_class(X1,esk1_0,esk2_0)))
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_58,c_0_11]) ).
cnf(c_0_64,plain,
( apply(X1,X2,esk5_2(equivalence_class(X2,X3,X1),X4))
| disjoint(equivalence_class(X2,X3,X1),X4) ),
inference(pm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_65,plain,
( subset(X2,X1)
| ~ equal_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0))
| ~ subset(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( subset(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(esk3_0,X2,esk2_0),equivalence_class(X1,esk1_0,esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
member(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_70,negated_conjecture,
( subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0))
| ~ disjoint(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( ~ member(X1,equivalence_class(esk3_0,esk1_0,esk2_0))
| ~ subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0))
| ~ subset(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_66]),c_0_52]) ).
cnf(c_0_72,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| subset(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ epred1_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_73,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0))
| ~ epred1_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_70,c_0_68]),c_0_69])]) ).
cnf(c_0_74,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X1,equivalence_class(esk3_0,esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_75,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,esk3_0,X1)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_74,c_0_56]) ).
cnf(c_0_76,plain,
( apply(X1,X2,esk5_2(equivalence_class(X3,X4,X5),equivalence_class(X6,X7,X1)))
| disjoint(equivalence_class(X3,X4,X5),equivalence_class(X6,X7,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,X6)
| ~ member(X6,X4)
| ~ member(X2,X4) ),
inference(pm,[status(thm)],[c_0_15,c_0_45]) ).
cnf(c_0_77,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ epred1_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_75,c_0_33]),c_0_23])]) ).
cnf(c_0_78,plain,
( apply(X1,X2,esk5_2(equivalence_class(X3,X4,X5),equivalence_class(X6,X7,X1)))
| disjoint(equivalence_class(X3,X4,X5),equivalence_class(X6,X7,X1))
| ~ apply(X1,X2,X6)
| ~ equivalence(X1,X4)
| ~ member(X6,X4)
| ~ member(X2,X4) ),
inference(pm,[status(thm)],[c_0_76,c_0_20]) ).
cnf(c_0_79,plain,
( apply(esk2_0,esk3_0,esk4_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk4_0,X1)
| ~ member(esk3_0,X1) ),
inference(pm,[status(thm)],[c_0_25,c_0_77]) ).
cnf(c_0_80,plain,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(X1,esk1_0,esk2_0),X2)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,esk3_0,esk5_2(equivalence_class(X1,esk1_0,esk2_0),X2))
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_58,c_0_16]) ).
cnf(c_0_81,negated_conjecture,
( apply(X1,esk3_0,esk5_2(equivalence_class(X2,esk1_0,X3),equivalence_class(X4,X5,X1)))
| disjoint(equivalence_class(X2,esk1_0,X3),equivalence_class(X4,X5,X1))
| ~ apply(X1,esk3_0,X4)
| ~ equivalence(X1,esk1_0)
| ~ member(X4,esk1_0) ),
inference(pm,[status(thm)],[c_0_78,c_0_23]) ).
cnf(c_0_82,plain,
( apply(esk2_0,esk3_0,esk4_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ equivalence(esk2_0,X1)
| ~ member(esk4_0,X1)
| ~ member(esk3_0,X1) ),
inference(pm,[status(thm)],[c_0_79,c_0_20]) ).
cnf(c_0_83,negated_conjecture,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(X1,esk1_0,esk2_0),equivalence_class(X2,X3,esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,esk3_0,X2)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_80,c_0_81]),c_0_28])]) ).
cnf(c_0_84,negated_conjecture,
( apply(esk2_0,esk3_0,esk4_0)
| ~ epred1_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_28]),c_0_69]),c_0_23])]) ).
cnf(c_0_85,negated_conjecture,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(X1,esk1_0,esk2_0),equivalence_class(esk4_0,X2,esk2_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_83,c_0_84]),c_0_69])]) ).
cnf(c_0_86,negated_conjecture,
( apply(esk2_0,X1,esk3_0)
| disjoint(equivalence_class(X1,esk1_0,esk2_0),equivalence_class(esk4_0,X2,esk2_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_85,c_0_20]),c_0_28])]) ).
cnf(c_0_87,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| disjoint(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk4_0,X1,esk2_0)) ),
inference(pm,[status(thm)],[c_0_86,c_0_69]) ).
cnf(c_0_88,plain,
( apply(X1,X2,esk6_2(equivalence_class(X2,X3,X1),X4))
| subset(equivalence_class(X2,X3,X1),X4) ),
inference(pm,[status(thm)],[c_0_10,c_0_43]) ).
cnf(c_0_89,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ member(X1,equivalence_class(esk4_0,esk1_0,esk2_0))
| ~ member(X1,equivalence_class(esk4_0,X2,esk2_0)) ),
inference(pm,[status(thm)],[c_0_41,c_0_87]) ).
cnf(c_0_90,plain,
( apply(X1,X2,esk6_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ epred1_2(X1,X6)
| ~ apply(X1,X2,X3)
| ~ member(esk6_2(equivalence_class(X3,X4,X1),X5),X6)
| ~ member(X3,X6)
| ~ member(X2,X6) ),
inference(pm,[status(thm)],[c_0_12,c_0_88]) ).
cnf(c_0_91,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ member(X1,equivalence_class(esk4_0,X2,esk2_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_89,c_0_56]),c_0_10]) ).
cnf(c_0_92,plain,
( subset(X1,X2)
| ~ member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_93,plain,
( apply(X1,X2,esk6_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X2,X4) ),
inference(pm,[status(thm)],[c_0_90,c_0_46]) ).
cnf(c_0_94,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ apply(esk2_0,esk4_0,X1)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(pm,[status(thm)],[c_0_91,c_0_56]) ).
cnf(c_0_95,negated_conjecture,
apply(esk2_0,esk4_0,esk4_0),
inference(pm,[status(thm)],[c_0_31,c_0_69]) ).
cnf(c_0_96,plain,
( subset(X1,equivalence_class(X2,X3,X4))
| ~ apply(X4,X2,esk6_2(X1,equivalence_class(X2,X3,X4)))
| ~ member(esk6_2(X1,equivalence_class(X2,X3,X4)),X3) ),
inference(pm,[status(thm)],[c_0_92,c_0_56]) ).
cnf(c_0_97,plain,
( apply(X1,X2,esk6_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ apply(X1,X2,X3)
| ~ equivalence(X1,X4)
| ~ member(X3,X4)
| ~ member(X2,X4) ),
inference(pm,[status(thm)],[c_0_93,c_0_20]) ).
cnf(c_0_98,negated_conjecture,
( apply(esk2_0,esk4_0,esk3_0)
| ~ member(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_94,c_0_95]),c_0_69])]) ).
cnf(c_0_99,plain,
( subset(X1,equivalence_class(X2,X1,X3))
| ~ apply(X3,X2,esk6_2(X1,equivalence_class(X2,X1,X3))) ),
inference(pm,[status(thm)],[c_0_96,c_0_43]) ).
cnf(c_0_100,negated_conjecture,
( apply(X1,esk3_0,esk6_2(equivalence_class(X2,esk1_0,X1),X3))
| subset(equivalence_class(X2,esk1_0,X1),X3)
| ~ apply(X1,esk3_0,X2)
| ~ equivalence(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(pm,[status(thm)],[c_0_97,c_0_23]) ).
cnf(c_0_101,negated_conjecture,
apply(esk2_0,esk4_0,esk3_0),
inference(pm,[status(thm)],[c_0_98,c_0_69]) ).
cnf(c_0_102,negated_conjecture,
( subset(equivalence_class(X1,esk1_0,X2),equivalence_class(esk3_0,equivalence_class(X1,esk1_0,X2),X2))
| ~ apply(X2,esk3_0,X1)
| ~ equivalence(X2,esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,plain,
( apply(esk2_0,esk3_0,esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk4_0,X1)
| ~ member(esk3_0,X1) ),
inference(pm,[status(thm)],[c_0_25,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( member(X1,equivalence_class(esk3_0,equivalence_class(X2,esk1_0,X3),X3))
| ~ apply(X3,esk3_0,X2)
| ~ equivalence(X3,esk1_0)
| ~ member(X1,equivalence_class(X2,esk1_0,X3))
| ~ member(X2,esk1_0) ),
inference(pm,[status(thm)],[c_0_52,c_0_102]) ).
cnf(c_0_105,plain,
( apply(esk2_0,esk3_0,esk4_0)
| ~ equivalence(esk2_0,X1)
| ~ member(esk4_0,X1)
| ~ member(esk3_0,X1) ),
inference(pm,[status(thm)],[c_0_103,c_0_20]) ).
cnf(c_0_106,negated_conjecture,
( member(X1,equivalence_class(esk3_0,equivalence_class(X2,esk1_0,esk2_0),esk2_0))
| ~ apply(esk2_0,esk3_0,X2)
| ~ member(X1,equivalence_class(X2,esk1_0,esk2_0))
| ~ member(X2,esk1_0) ),
inference(pm,[status(thm)],[c_0_104,c_0_28]) ).
cnf(c_0_107,negated_conjecture,
apply(esk2_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_105,c_0_28]),c_0_69]),c_0_23])]) ).
cnf(c_0_108,negated_conjecture,
( member(X1,equivalence_class(esk3_0,equivalence_class(esk4_0,esk1_0,esk2_0),esk2_0))
| ~ member(X1,equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_69]),c_0_107])]) ).
cnf(c_0_109,negated_conjecture,
( apply(esk2_0,esk3_0,X1)
| ~ member(X1,equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(pm,[status(thm)],[c_0_10,c_0_108]) ).
cnf(c_0_110,plain,
( subset(equivalence_class(X1,X2,X3),equivalence_class(X4,X2,X5))
| ~ apply(X5,X4,esk6_2(equivalence_class(X1,X2,X3),equivalence_class(X4,X2,X5))) ),
inference(pm,[status(thm)],[c_0_96,c_0_46]) ).
cnf(c_0_111,negated_conjecture,
( apply(esk2_0,esk3_0,esk6_2(equivalence_class(esk4_0,esk1_0,esk2_0),X1))
| subset(equivalence_class(esk4_0,esk1_0,esk2_0),X1) ),
inference(pm,[status(thm)],[c_0_109,c_0_43]) ).
cnf(c_0_112,negated_conjecture,
subset(equivalence_class(esk4_0,esk1_0,esk2_0),equivalence_class(esk3_0,esk1_0,esk2_0)),
inference(pm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_113,negated_conjecture,
( apply(X1,esk4_0,esk6_2(equivalence_class(X2,esk1_0,X1),X3))
| subset(equivalence_class(X2,esk1_0,X1),X3)
| ~ apply(X1,esk4_0,X2)
| ~ equivalence(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(pm,[status(thm)],[c_0_97,c_0_69]) ).
cnf(c_0_114,negated_conjecture,
( ~ member(X1,equivalence_class(esk3_0,esk1_0,esk2_0))
| ~ subset(equivalence_class(esk3_0,esk1_0,esk2_0),equivalence_class(esk4_0,esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_112])]) ).
cnf(c_0_115,negated_conjecture,
( subset(equivalence_class(X1,esk1_0,X2),equivalence_class(esk4_0,esk1_0,X2))
| ~ apply(X2,esk4_0,X1)
| ~ equivalence(X2,esk1_0)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_110,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
~ member(X1,equivalence_class(esk3_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_114,c_0_115]),c_0_101]),c_0_28]),c_0_23])]) ).
cnf(c_0_117,negated_conjecture,
( ~ apply(esk2_0,esk3_0,X1)
| ~ member(X1,esk1_0) ),
inference(pm,[status(thm)],[c_0_116,c_0_56]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_117,c_0_33]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET769+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 03:53:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.43/40.50 eprover: CPU time limit exceeded, terminating
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.56/63.51 eprover: CPU time limit exceeded, terminating
% 0.59/69.43 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.46 eprover: CPU time limit exceeded, terminating
% 0.68/86.53 eprover: CPU time limit exceeded, terminating
% 0.72/92.45 eprover: CPU time limit exceeded, terminating
% 0.72/92.46 eprover: CPU time limit exceeded, terminating
% 0.72/92.48 eprover: CPU time limit exceeded, terminating
% 0.81/109.57 eprover: CPU time limit exceeded, terminating
% 0.84/115.47 eprover: CPU time limit exceeded, terminating
% 0.84/115.48 eprover: CPU time limit exceeded, terminating
% 0.84/115.51 eprover: CPU time limit exceeded, terminating
% 0.93/132.60 eprover: CPU time limit exceeded, terminating
% 0.96/138.50 eprover: CPU time limit exceeded, terminating
% 0.96/138.52 eprover: CPU time limit exceeded, terminating
% 0.96/138.52 eprover: CPU time limit exceeded, terminating
% 0.96/139.14 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.96/139.14
% 0.96/139.14 # Failure: Resource limit exceeded (time)
% 0.96/139.14 # OLD status Res
% 0.96/139.14 # Preprocessing time : 0.022 s
% 0.96/139.14 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.96/139.14
% 0.96/139.14 # Failure: Resource limit exceeded (time)
% 0.96/139.14 # OLD status Res
% 0.96/139.14 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.96/139.14 # Preprocessing time : 0.018 s
% 0.96/139.14 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.96/139.14
% 0.96/139.14 # Failure: Resource limit exceeded (time)
% 0.96/139.14 # OLD status Res
% 0.96/139.14 # Preprocessing time : 0.020 s
% 0.96/139.14 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.96/139.14
% 0.96/139.14 # Failure: Resource limit exceeded (time)
% 0.96/139.14 # OLD status Res
% 0.96/139.14 # Preprocessing time : 0.020 s
% 0.96/139.14 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 0.96/139.14
% 0.96/139.14 # Failure: Resource limit exceeded (time)
% 0.96/139.14 # OLD status Res
% 0.96/139.14 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 0.96/139.14 # Preprocessing time : 0.018 s
% 0.96/139.14 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 0.96/139.14
% 0.96/139.14 # Failure: Resource limit exceeded (time)
% 0.96/139.14 # OLD status Res
% 0.96/139.14 # Preprocessing time : 0.011 s
% 0.96/139.14 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 0.96/139.14 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 0.96/139.14 # Preprocessing time : 0.010 s
% 0.96/139.14
% 0.96/139.14 # Proof found!
% 0.96/139.14 # SZS status Theorem
% 0.96/139.14 # SZS output start CNFRefutation
% See solution above
% 0.96/139.14 # Proof object total steps : 119
% 0.96/139.14 # Proof object clause steps : 103
% 0.96/139.14 # Proof object formula steps : 16
% 0.96/139.14 # Proof object conjectures : 48
% 0.96/139.14 # Proof object clause conjectures : 45
% 0.96/139.14 # Proof object formula conjectures : 3
% 0.96/139.14 # Proof object initial clauses used : 22
% 0.96/139.14 # Proof object initial formulas used : 6
% 0.96/139.14 # Proof object generating inferences : 80
% 0.96/139.14 # Proof object simplifying inferences : 41
% 0.96/139.14 # Training examples: 0 positive, 0 negative
% 0.96/139.14 # Parsed axioms : 17
% 0.96/139.14 # Removed by relevancy pruning/SinE : 11
% 0.96/139.14 # Initial clauses : 70
% 0.96/139.14 # Removed in clause preprocessing : 0
% 0.96/139.14 # Initial clauses in saturation : 70
% 0.96/139.14 # Processed clauses : 730
% 0.96/139.14 # ...of these trivial : 0
% 0.96/139.14 # ...subsumed : 194
% 0.96/139.14 # ...remaining for further processing : 536
% 0.96/139.14 # Other redundant clauses eliminated : 0
% 0.96/139.14 # Clauses deleted for lack of memory : 0
% 0.96/139.14 # Backward-subsumed : 117
% 0.96/139.14 # Backward-rewritten : 9
% 0.96/139.14 # Generated clauses : 7168
% 0.96/139.14 # ...of the previous two non-trivial : 6689
% 0.96/139.14 # Contextual simplify-reflections : 190
% 0.96/139.14 # Paramodulations : 7168
% 0.96/139.14 # Factorizations : 0
% 0.96/139.14 # Equation resolutions : 0
% 0.96/139.14 # Current number of processed clauses : 410
% 0.96/139.14 # Positive orientable unit clauses : 18
% 0.96/139.14 # Positive unorientable unit clauses: 0
% 0.96/139.14 # Negative unit clauses : 1
% 0.96/139.14 # Non-unit-clauses : 391
% 0.96/139.14 # Current number of unprocessed clauses: 3954
% 0.96/139.14 # ...number of literals in the above : 22940
% 0.96/139.14 # Current number of archived formulas : 0
% 0.96/139.14 # Current number of archived clauses : 126
% 0.96/139.14 # Clause-clause subsumption calls (NU) : 52797
% 0.96/139.14 # Rec. Clause-clause subsumption calls : 11575
% 0.96/139.14 # Non-unit clause-clause subsumptions : 497
% 0.96/139.14 # Unit Clause-clause subsumption calls : 577
% 0.96/139.14 # Rewrite failures with RHS unbound : 0
% 0.96/139.14 # BW rewrite match attempts : 38
% 0.96/139.14 # BW rewrite match successes : 3
% 0.96/139.14 # Condensation attempts : 0
% 0.96/139.14 # Condensation successes : 0
% 0.96/139.14 # Termbank termtop insertions : 158156
% 0.96/139.14
% 0.96/139.14 # -------------------------------------------------
% 0.96/139.14 # User time : 0.228 s
% 0.96/139.14 # System time : 0.007 s
% 0.96/139.14 # Total time : 0.235 s
% 0.96/139.14 # Maximum resident set size: 8152 pages
% 0.96/155.63 eprover: CPU time limit exceeded, terminating
% 0.96/155.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/155.64 eprover: No such file or directory
% 0.96/155.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/155.65 eprover: No such file or directory
% 0.96/155.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/155.65 eprover: No such file or directory
% 0.96/155.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/155.66 eprover: No such file or directory
% 0.96/155.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/155.66 eprover: No such file or directory
% 0.96/161.54 eprover: CPU time limit exceeded, terminating
% 0.96/161.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/161.55 eprover: No such file or directory
% 0.96/161.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/161.56 eprover: No such file or directory
% 0.96/161.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/161.57 eprover: No such file or directory
% 0.96/161.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/161.57 eprover: No such file or directory
% 0.96/161.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/161.58 eprover: No such file or directory
%------------------------------------------------------------------------------