%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM539+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 04:57:44 PM UTC 2026
% Result : Theorem 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 100 ( 7 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 111 ( 35 ~; 29 |; 35 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 31 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1779,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& ~ ( ~ ? [X1] : aElementOf0(X1,xS)
| xS = slcrc0 )
& ~ ( ~ ? [X1] : aElementOf0(X1,xT)
| xT = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1779) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(m__1802,hypothesis,
( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xT),xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1802) ).
fof(c_0_4,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
| szmzizndt0(xS) = szmzizndt0(xT) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
! [X185,X186] :
( aSet0(xS)
& ( ~ aElementOf0(X185,xS)
| aElementOf0(X185,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xT)
& ( ~ aElementOf0(X186,xT)
| aElementOf0(X186,szNzAzT0) )
& aSubsetOf0(xT,szNzAzT0)
& aElementOf0(esk9_0,xS)
& xS != slcrc0
& aElementOf0(esk10_0,xT)
& xT != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1779])])])]) ).
fof(c_0_6,negated_conjecture,
! [X191] :
( aElementOf0(szmzizndt0(xS),xS)
& ( ~ aElementOf0(X191,xS)
| sdtlseqdt0(szmzizndt0(xS),X191) )
& aElementOf0(esk11_0,xT)
& ~ sdtlseqdt0(szmzizndt0(xS),esk11_0)
& szmzizndt0(xS) != szmzizndt0(xT) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X157,X158,X159] :
( ~ aElementOf0(X157,szNzAzT0)
| ~ aElementOf0(X158,szNzAzT0)
| ~ aElementOf0(X159,szNzAzT0)
| ~ sdtlseqdt0(X157,X158)
| ~ sdtlseqdt0(X158,X159)
| sdtlseqdt0(X157,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
cnf(c_0_8,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
aElementOf0(esk11_0,xT),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,hypothesis,
! [X189,X190] :
( aElementOf0(szmzizndt0(xS),xS)
& ( ~ aElementOf0(X189,xS)
| sdtlseqdt0(szmzizndt0(xS),X189) )
& aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xT)
& ( ~ aElementOf0(X190,xT)
| sdtlseqdt0(szmzizndt0(xT),X190) )
& aElementOf0(szmzizndt0(xT),xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1802])])]) ).
cnf(c_0_11,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
aElementOf0(esk11_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,hypothesis,
aElementOf0(szmzizndt0(xT),xS),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( sdtlseqdt0(X1,esk11_0)
| ~ sdtlseqdt0(X2,esk11_0)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
( sdtlseqdt0(szmzizndt0(xT),X1)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,hypothesis,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
aElementOf0(szmzizndt0(xS),xS),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,hypothesis,
( sdtlseqdt0(X1,esk11_0)
| ~ sdtlseqdt0(X1,szmzizndt0(xT))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_9])]) ).
cnf(c_0_20,hypothesis,
( sdtlseqdt0(szmzizndt0(xS),X1)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,hypothesis,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ sdtlseqdt0(szmzizndt0(xS),esk11_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_14])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM539+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:44:05 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % 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 : 1.369s
%------------------------------------------------------------------------------