%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM586+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %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 : 300s
% DateTime : Tue May 5 04:57:55 PM UTC 2026
% Result : Theorem 3.77s 3.13s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 120 ( 30 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 158 ( 67 ~; 64 |; 19 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 46 ( 0 sgn 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(m__4200,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).
fof(m__4200_02,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(c_0_7,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,negated_conjecture,
! [X340] :
( ~ aElementOf0(X340,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X340) != xx ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_9,hypothesis,
! [X338,X339] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X338))
| ~ aElementOf0(X338,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X338)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X338),szmzizndt0(sdtlpdtrp0(xN,X338))),xk)
| ~ aElementOf0(X338,szNzAzT0) )
& ( ~ aSet0(X339)
| ~ aElementOf0(X339,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X338),szmzizndt0(sdtlpdtrp0(xN,X338))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X338),X339) = sdtlpdtrp0(xc,sdtpldt0(X339,szmzizndt0(sdtlpdtrp0(xN,X338))))
| ~ aElementOf0(X338,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])]) ).
fof(c_0_10,plain,
! [X300,X301,X302,X303,X305,X306,X307,X309] :
( ( aSet0(X302)
| X302 != sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) )
& ( aElementOf0(esk14_4(X300,X301,X302,X303),X301)
| ~ aElementOf0(X303,X302)
| X302 != sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) )
& ( sdtlpdtrp0(X300,esk14_4(X300,X301,X302,X303)) = X303
| ~ aElementOf0(X303,X302)
| X302 != sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) )
& ( ~ aElementOf0(X306,X301)
| sdtlpdtrp0(X300,X306) != X305
| aElementOf0(X305,X302)
| X302 != sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) )
& ( ~ aElementOf0(esk15_3(X300,X301,X307),X307)
| ~ aElementOf0(X309,X301)
| sdtlpdtrp0(X300,X309) != esk15_3(X300,X301,X307)
| ~ aSet0(X307)
| X307 = sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) )
& ( aElementOf0(esk16_3(X300,X301,X307),X301)
| aElementOf0(esk15_3(X300,X301,X307),X307)
| ~ aSet0(X307)
| X307 = sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) )
& ( sdtlpdtrp0(X300,esk16_3(X300,X301,X307)) = esk15_3(X300,X301,X307)
| aElementOf0(esk15_3(X300,X301,X307),X307)
| ~ aSet0(X307)
| X307 = sdtlcdtrc0(X300,X301)
| ~ aSubsetOf0(X301,szDzozmdt0(X300))
| ~ aFunction0(X300) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSImg])])])])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4200]) ).
cnf(c_0_14,plain,
( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( aElementOf0(esk14_4(X1,X2,sdtlcdtrc0(X1,X2),X3),X2)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X3,sdtlcdtrc0(X1,X2)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk14_4(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)),sdtlcdtrc0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi))),X2)) != xx
| ~ aFunction0(X1)
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(X1))
| ~ aElementOf0(X2,sdtlcdtrc0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,sdtlcdtrc0(X1,X2),X3)) = X3
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X3,sdtlcdtrc0(X1,X2)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_20,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
inference(split_conjunct,[status(thm)],[m__4200_02]) ).
fof(c_0_21,plain,
! [X178] :
( ~ aSet0(X178)
| aSubsetOf0(X178,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(c_0_22,plain,
! [X288] :
( ~ aFunction0(X288)
| aSet0(szDzozmdt0(X288)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_23,negated_conjecture,
( ~ aFunction0(sdtlpdtrp0(xC,xi))
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]),c_0_20])]) ).
cnf(c_0_24,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ aFunction0(sdtlpdtrp0(xC,xi)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,hypothesis,
( aFunction0(sdtlpdtrp0(xC,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM586+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n023.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:48:08 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 3.77/3.13 % Version : CSE_E---1.7
% 3.77/3.13 % Problem : theBenchmark.p
% 3.77/3.13 % SZS status Theorem for theBenchmark.p
% 3.77/3.13 % SZS output start CNFRefutation
% See solution above
% 3.77/3.14 % Total time : 2.372s
%------------------------------------------------------------------------------