%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM561+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 : n031.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 04:57:50 PM UTC 2026
% Result : Theorem 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 78 ( 15 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 102 ( 44 ~; 44 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn 16 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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__,conjecture,
aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__2911,hypothesis,
aFunction0(xF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911) ).
fof(m__2911_02,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_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_6,plain,
! [X271,X272,X273,X274,X276,X277,X278,X280] :
( ( aSet0(X273)
| X273 != sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) )
& ( aElementOf0(esk14_4(X271,X272,X273,X274),X272)
| ~ aElementOf0(X274,X273)
| X273 != sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) )
& ( sdtlpdtrp0(X271,esk14_4(X271,X272,X273,X274)) = X274
| ~ aElementOf0(X274,X273)
| X273 != sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) )
& ( ~ aElementOf0(X277,X272)
| sdtlpdtrp0(X271,X277) != X276
| aElementOf0(X276,X273)
| X273 != sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) )
& ( ~ aElementOf0(esk15_3(X271,X272,X278),X278)
| ~ aElementOf0(X280,X272)
| sdtlpdtrp0(X271,X280) != esk15_3(X271,X272,X278)
| ~ aSet0(X278)
| X278 = sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) )
& ( aElementOf0(esk16_3(X271,X272,X278),X272)
| aElementOf0(esk15_3(X271,X272,X278),X278)
| ~ aSet0(X278)
| X278 = sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) )
& ( sdtlpdtrp0(X271,esk16_3(X271,X272,X278)) = esk15_3(X271,X272,X278)
| aElementOf0(esk15_3(X271,X272,X278),X278)
| ~ aSet0(X278)
| X278 = sdtlcdtrc0(X271,X272)
| ~ aSubsetOf0(X272,szDzozmdt0(X271))
| ~ aFunction0(X271) ) ),
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])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_8,plain,
( aElementOf0(X4,X5)
| ~ aElementOf0(X1,X2)
| sdtlpdtrp0(X3,X1) != X4
| X5 != sdtlcdtrc0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,X3))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])]) ).
cnf(c_0_11,hypothesis,
aFunction0(xF),
inference(split_conjunct,[status(thm)],[m__2911]) ).
cnf(c_0_12,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[m__2911_02]) ).
fof(c_0_13,plain,
! [X149] :
( ~ aSet0(X149)
| aSubsetOf0(X149,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_14,negated_conjecture,
~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_15,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X259] :
( ~ aFunction0(X259)
| aSet0(szDzozmdt0(X259)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_17,negated_conjecture,
~ aSet0(szDzozmdt0(xF)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM561+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
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 00:46:53 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.32/1.73 % Version : CSE_E---1.7
% 1.32/1.73 % Problem : theBenchmark.p
% 1.32/1.73 % SZS status Theorem for theBenchmark.p
% 1.32/1.73 % SZS output start CNFRefutation
% See solution above
% 1.32/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------