%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM547+3 : 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 : n022.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 04:57:46 PM UTC 2026
% Result : Theorem 0.33s 1.63s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 134 ( 25 equ)
% Maximal formula atoms : 67 ( 16 avg)
% Number of connectives : 176 ( 50 ~; 53 |; 57 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 1 sgn 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__2227,hypothesis,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) ) )
| aSubsetOf0(X1,xT) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).
fof(c_0_2,negated_conjecture,
~ ? [X1] :
( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,hypothesis,
! [X242,X243,X244,X246,X247,X248,X250,X251,X252,X253] :
( aSet0(slbdtsldtrb0(xS,xk))
& ( aSet0(X242)
| ~ aElementOf0(X242,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X243,X242)
| aElementOf0(X243,xS)
| ~ aElementOf0(X242,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X242,xS)
| ~ aElementOf0(X242,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X242) = xk
| ~ aElementOf0(X242,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk12_1(X244),X244)
| ~ aSet0(X244)
| sbrdtbr0(X244) != xk
| aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk12_1(X244),xS)
| ~ aSet0(X244)
| sbrdtbr0(X244) != xk
| aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X244,xS)
| sbrdtbr0(X244) != xk
| aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xT,xk))
& ( aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X247,X246)
| aElementOf0(X247,xT)
| ~ aElementOf0(X246,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X246,xT)
| ~ aElementOf0(X246,slbdtsldtrb0(xT,xk)) )
& ( sbrdtbr0(X246) = xk
| ~ aElementOf0(X246,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk13_1(X248),X248)
| ~ aSet0(X248)
| sbrdtbr0(X248) != xk
| aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk13_1(X248),xT)
| ~ aSet0(X248)
| sbrdtbr0(X248) != xk
| aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X248,xT)
| sbrdtbr0(X248) != xk
| aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X250,slbdtsldtrb0(xS,xk))
| aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ( aSet0(X251)
| ~ aElementOf0(X251,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X252,X251)
| aElementOf0(X252,xS)
| ~ aElementOf0(X251,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X251,xS)
| ~ aElementOf0(X251,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X251) = xk
| ~ aElementOf0(X251,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk14_1(X253),X253)
| ~ aSet0(X253)
| sbrdtbr0(X253) != xk
| aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk14_1(X253),xS)
| ~ aSet0(X253)
| sbrdtbr0(X253) != xk
| aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X253,xS)
| sbrdtbr0(X253) != xk
| aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
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)],[m__2227])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X256,X258] :
( ( aElementOf0(esk16_1(X256),X256)
| ~ aSet0(X256)
| sbrdtbr0(X256) != xk )
& ( ~ aElementOf0(esk16_1(X256),xS)
| ~ aSet0(X256)
| sbrdtbr0(X256) != xk )
& ( ~ aSubsetOf0(X256,xS)
| sbrdtbr0(X256) != xk )
& ~ aElementOf0(X258,slbdtsldtrb0(xS,xk)) ),
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_2])])])])])]) ).
cnf(c_0_5,hypothesis,
aElementOf0(esk15_0,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM547+3 : 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
% 0.16/0.33 % Computer : n022.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 00:44:36 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.33/1.63 % Version : CSE_E---1.7
% 0.33/1.63 % Problem : theBenchmark.p
% 0.33/1.63 % SZS status Theorem for theBenchmark.p
% 0.33/1.63 % SZS output start CNFRefutation
% See solution above
% 0.33/1.63 % Total time : 1.268s
%------------------------------------------------------------------------------