%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM442+6 : 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 : n014.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 04:57:21 PM UTC 2026
% Result : Theorem 3.68s 3.12s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 14 unt; 0 def)
% Number of atoms : 553 ( 76 equ)
% Maximal formula atoms : 106 ( 7 avg)
% Number of connectives : 696 ( 214 ~; 294 |; 137 &)
% ( 8 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 132 ( 0 sgn 56 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mArSeq,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ! [X3] :
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeq) ).
fof(m__1962,hypothesis,
( aInteger0(xa)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1962) ).
fof(mEquModSym,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(mEquModTrn,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
fof(c_0_5,plain,
( epred1_0
<=> ( ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( ( ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> ( ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
~ ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& epred1_0 ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]),c_0_5]) ).
fof(c_0_8,plain,
! [X219,X221,X222,X223,X225,X226,X228] :
( ( aInteger0(X219)
| ~ aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( aInteger0(esk18_1(X219))
| ~ aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( sdtasdt0(xq,esk18_1(X219)) = sdtpldt0(X219,smndt0(xa))
| ~ aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( aDivisorOf0(xq,sdtpldt0(X219,smndt0(xa)))
| ~ aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( sdteqdtlpzmzozddtrp0(X219,xa,xq)
| ~ aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( ~ aInteger0(X222)
| sdtasdt0(xq,X222) != sdtpldt0(X221,smndt0(xa))
| ~ aInteger0(X221)
| aElementOf0(X221,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( ~ aDivisorOf0(xq,sdtpldt0(X221,smndt0(xa)))
| ~ aInteger0(X221)
| aElementOf0(X221,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( ~ sdteqdtlpzmzozddtrp0(X221,xa,xq)
| ~ aInteger0(X221)
| aElementOf0(X221,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 )
& ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 )
& ( aInteger0(X223)
| ~ aElementOf0(X223,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 )
& ( ~ aElementOf0(X223,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X223,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 )
& ( ~ aInteger0(X223)
| aElementOf0(X223,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X223,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 )
& ( aElementOf0(esk19_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( aInteger0(X226)
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( aInteger0(esk20_2(X225,X226))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( sdtasdt0(X225,esk20_2(X225,X226)) = sdtpldt0(X226,smndt0(esk19_0))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( aDivisorOf0(X225,sdtpldt0(X226,smndt0(esk19_0)))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( sdteqdtlpzmzozddtrp0(X226,esk19_0,X225)
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( ~ aInteger0(X228)
| sdtasdt0(X225,X228) != sdtpldt0(X226,smndt0(esk19_0))
| ~ aInteger0(X226)
| aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( ~ aDivisorOf0(X225,sdtpldt0(X226,smndt0(esk19_0)))
| ~ aInteger0(X226)
| aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( ~ sdteqdtlpzmzozddtrp0(X226,esk19_0,X225)
| ~ aInteger0(X226)
| aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( aElementOf0(esk21_1(X225),szAzrzSzezqlpdtcmdtrp0(esk19_0,X225))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( ~ aElementOf0(esk21_1(X225),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk19_0,X225),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X225)
| X225 = sz00
| epred1_0 )
& ( ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 )
& ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0 ) ),
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)],[c_0_6])])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X213,X215,X216,X217] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( aInteger0(X213)
| ~ aElementOf0(X213,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( aInteger0(esk16_1(X213))
| ~ aElementOf0(X213,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( sdtasdt0(xq,esk16_1(X213)) = sdtpldt0(X213,smndt0(xa))
| ~ aElementOf0(X213,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( aDivisorOf0(xq,sdtpldt0(X213,smndt0(xa)))
| ~ aElementOf0(X213,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( sdteqdtlpzmzozddtrp0(X213,xa,xq)
| ~ aElementOf0(X213,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( ~ aInteger0(X216)
| sdtasdt0(xq,X216) != sdtpldt0(X215,smndt0(xa))
| ~ aInteger0(X215)
| aElementOf0(X215,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( ~ aDivisorOf0(xq,sdtpldt0(X215,smndt0(xa)))
| ~ aInteger0(X215)
| aElementOf0(X215,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( ~ sdteqdtlpzmzozddtrp0(X215,xa,xq)
| ~ aInteger0(X215)
| aElementOf0(X215,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( aSet0(cS1395)
| ~ epred1_0 )
& ( ~ aElementOf0(X217,cS1395)
| aInteger0(X217)
| ~ epred1_0 )
& ( ~ aInteger0(X217)
| aElementOf0(X217,cS1395)
| ~ epred1_0 )
& ( aElementOf0(esk17_0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 )
& ( ~ aElementOf0(esk17_0,cS1395)
| ~ epred1_0 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ~ epred1_0 ) ),
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)],[c_0_7])])])])])]) ).
cnf(c_0_10,plain,
( aInteger0(X1)
| epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( aElementOf0(esk17_0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ aElementOf0(esk17_0,cS1395)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( aInteger0(esk17_0)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( aElementOf0(esk21_1(X1),szAzrzSzezqlpdtcmdtrp0(esk19_0,X1))
| X1 = sz00
| epred1_0
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
~ epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
fof(c_0_19,plain,
! [X192,X193,X194,X195,X196,X197] :
( ( aSet0(X194)
| X194 != szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 )
& ( aInteger0(X195)
| ~ aElementOf0(X195,X194)
| X194 != szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X195,X192,X193)
| ~ aElementOf0(X195,X194)
| X194 != szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 )
& ( ~ aInteger0(X196)
| ~ sdteqdtlpzmzozddtrp0(X196,X192,X193)
| aElementOf0(X196,X194)
| X194 != szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 )
& ( ~ aElementOf0(esk11_3(X192,X193,X197),X197)
| ~ aInteger0(esk11_3(X192,X193,X197))
| ~ sdteqdtlpzmzozddtrp0(esk11_3(X192,X193,X197),X192,X193)
| ~ aSet0(X197)
| X197 = szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 )
& ( aInteger0(esk11_3(X192,X193,X197))
| aElementOf0(esk11_3(X192,X193,X197),X197)
| ~ aSet0(X197)
| X197 = szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 )
& ( sdteqdtlpzmzozddtrp0(esk11_3(X192,X193,X197),X192,X193)
| aElementOf0(esk11_3(X192,X193,X197),X197)
| ~ aSet0(X197)
| X197 = szAzrzSzezqlpdtcmdtrp0(X192,X193)
| ~ aInteger0(X192)
| ~ aInteger0(X193)
| X193 = sz00 ) ),
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)],[mArSeq])])])])])]) ).
cnf(c_0_20,plain,
( aInteger0(X1)
| epred1_0
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( aElementOf0(esk19_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( sdteqdtlpzmzozddtrp0(X1,esk19_0,X2)
| X2 = sz00
| epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(esk19_0,X2))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( X1 = sz00
| aElementOf0(esk21_1(X1),szAzrzSzezqlpdtcmdtrp0(esk19_0,X1))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__1962]) ).
cnf(c_0_25,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__1962]) ).
cnf(c_0_26,plain,
( aInteger0(X1)
| X4 = sz00
| ~ aElementOf0(X1,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X3,X4)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(sr,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_28,plain,
aElementOf0(esk19_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
inference(sr,[status(thm)],[c_0_21,c_0_18]) ).
fof(c_0_29,plain,
! [X142,X143,X144] :
( ~ aInteger0(X142)
| ~ aInteger0(X143)
| ~ aInteger0(X144)
| X144 = sz00
| ~ sdteqdtlpzmzozddtrp0(X142,X143,X144)
| sdteqdtlpzmzozddtrp0(X143,X142,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
cnf(c_0_30,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,esk19_0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(esk19_0,X1))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_31,hypothesis,
aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(esk19_0,xq)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_32,plain,
( X1 = sz00
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
aInteger0(esk19_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_34,plain,
! [X145,X146,X147,X148] :
( ~ aInteger0(X145)
| ~ aInteger0(X146)
| ~ aInteger0(X147)
| X147 = sz00
| ~ aInteger0(X148)
| ~ sdteqdtlpzmzozddtrp0(X145,X146,X147)
| ~ sdteqdtlpzmzozddtrp0(X146,X148,X147)
| sdteqdtlpzmzozddtrp0(X145,X148,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModTrn])]) ).
cnf(c_0_35,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,hypothesis,
sdteqdtlpzmzozddtrp0(esk21_1(xq),esk19_0,xq),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24])]),c_0_25]) ).
cnf(c_0_37,hypothesis,
aInteger0(esk21_1(xq)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_24]),c_0_33])]),c_0_25]) ).
cnf(c_0_38,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,hypothesis,
sdteqdtlpzmzozddtrp0(esk19_0,esk21_1(xq),xq),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24]),c_0_33]),c_0_37])]),c_0_25]) ).
cnf(c_0_40,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| epred1_0
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,esk21_1(xq),xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk19_0,xq)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37]),c_0_24]),c_0_33])]),c_0_25]) ).
cnf(c_0_43,plain,
( sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| ~ aElementOf0(X1,X4)
| X4 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,hypothesis,
( sdteqdtlpzmzozddtrp0(esk21_1(xq),X1,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk19_0,xq)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_42]),c_0_24]),c_0_37])]),c_0_25]) ).
cnf(c_0_46,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__1962]) ).
cnf(c_0_47,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_48,plain,
( aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_37]),c_0_46])]) ).
cnf(c_0_49,plain,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_50,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_51,plain,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| epred1_0
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_52,plain,
( sdteqdtlpzmzozddtrp0(esk21_1(xq),xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_24]),c_0_46])]),c_0_25]) ).
cnf(c_0_53,plain,
( epred1_0
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_54,plain,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( X1 = sz00
| epred1_0
| ~ aElementOf0(esk21_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_56,plain,
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_51,c_0_18]) ).
cnf(c_0_57,plain,
( aElementOf0(X1,X4)
| X3 = sz00
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X4 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,plain,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk21_1(xq),xq)
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_52]),c_0_46]),c_0_24]),c_0_37])]),c_0_25]) ).
cnf(c_0_59,plain,
( ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(sr,[status(thm)],[c_0_53,c_0_18]) ).
cnf(c_0_60,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,esk19_0,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,esk21_1(xq),xq)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_33]),c_0_24]),c_0_37])]),c_0_25]) ).
cnf(c_0_61,plain,
( sdteqdtlpzmzozddtrp0(xa,X1,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_54]),c_0_24]),c_0_46])]),c_0_25]),c_0_12]) ).
cnf(c_0_62,plain,
( X1 = sz00
| ~ aElementOf0(esk21_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[c_0_55,c_0_18]) ).
cnf(c_0_63,plain,
( aElementOf0(esk21_1(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(spm,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_64,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_65,hypothesis,
( sdteqdtlpzmzozddtrp0(esk19_0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_39]),c_0_33])]) ).
cnf(c_0_66,plain,
~ aElementOf0(esk19_0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(spm,[status(thm)],[c_0_59,c_0_28]) ).
cnf(c_0_67,plain,
( sdteqdtlpzmzozddtrp0(xa,esk19_0,xq)
| ~ aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_46])]) ).
cnf(c_0_68,plain,
aElementOf0(esk21_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_24])]),c_0_25]) ).
cnf(c_0_69,hypothesis,
~ sdteqdtlpzmzozddtrp0(xa,esk19_0,xq),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_24]),c_0_46]),c_0_33])]),c_0_25]),c_0_66]) ).
cnf(c_0_70,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM442+6 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n014.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:34:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.68/3.12 % Version : CSE_E---1.7
% 3.68/3.12 % Problem : theBenchmark.p
% 3.68/3.12 % SZS status Theorem for theBenchmark.p
% 3.68/3.12 % SZS output start CNFRefutation
% See solution above
% 3.78/3.13 % Total time : 2.372s
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