%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM595+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 : n018.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 04:57:58 PM UTC 2026
% Result : Theorem 21.82s 12.80s
% Output : CNFRefutation 21.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 128 ( 37 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 159 ( 55 ~; 59 |; 35 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(m__4826,hypothesis,
( aSet0(xX)
& ! [X1] :
( ( aElementOf0(X1,xX)
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,xX) ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ~ ~ ? [X1] : aElementOf0(X1,xX) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4826) ).
fof(m__4618,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ? [X2] :
( aElementOf0(X2,xT)
& ! [X3] :
( ( aSet0(X3)
& ( ( ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X3) = xk )
| aElementOf0(X3,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4618) ).
fof(m__4806,hypothesis,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xd,xi) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4806) ).
fof(m__,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_5,hypothesis,
! [X461,X462] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk36_2(X461,X462),X462)
| sbrdtbr0(X462) != xk
| ~ aSet0(X462)
| sdtlpdtrp0(xd,X461) = sdtlpdtrp0(sdtlpdtrp0(xC,X461),X462)
| ~ aElementOf0(X461,szNzAzT0) )
& ( ~ aElementOf0(esk36_2(X461,X462),sdtlpdtrp0(xN,szszuzczcdt0(X461)))
| sbrdtbr0(X462) != xk
| ~ aSet0(X462)
| sdtlpdtrp0(xd,X461) = sdtlpdtrp0(sdtlpdtrp0(xC,X461),X462)
| ~ aElementOf0(X461,szNzAzT0) )
& ( ~ aSubsetOf0(X462,sdtlpdtrp0(xN,szszuzczcdt0(X461)))
| sbrdtbr0(X462) != xk
| ~ aSet0(X462)
| sdtlpdtrp0(xd,X461) = sdtlpdtrp0(sdtlpdtrp0(xC,X461),X462)
| ~ aElementOf0(X461,szNzAzT0) )
& ( ~ aElementOf0(X462,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X461)),xk))
| ~ aSet0(X462)
| sdtlpdtrp0(xd,X461) = sdtlpdtrp0(sdtlpdtrp0(xC,X461),X462)
| ~ aElementOf0(X461,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])]) ).
fof(c_0_6,hypothesis,
! [X469,X470,X471] :
( aSet0(xX)
& ( aSet0(X469)
| ~ aElementOf0(X469,xX) )
& ( ~ aElementOf0(X470,X469)
| aElementOf0(X470,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X469,xX) )
& ( aSubsetOf0(X469,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X469,xX) )
& ( sbrdtbr0(X469) = xk
| ~ aElementOf0(X469,xX) )
& ( aElementOf0(esk39_1(X471),X471)
| ~ aSet0(X471)
| sbrdtbr0(X471) != xk
| aElementOf0(X471,xX) )
& ( ~ aElementOf0(esk39_1(X471),sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(X471)
| sbrdtbr0(X471) != xk
| aElementOf0(X471,xX) )
& ( ~ aSubsetOf0(X471,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| sbrdtbr0(X471) != xk
| aElementOf0(X471,xX) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& aElementOf0(esk40_0,xX) ),
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__4826])])])])])]) ).
fof(c_0_7,hypothesis,
! [X455,X457] :
( ( aElementOf0(esk34_1(X455),xT)
| ~ aElementOf0(X455,szNzAzT0) )
& ( aElementOf0(esk35_2(X455,X457),X457)
| sbrdtbr0(X457) != xk
| ~ aSet0(X457)
| sdtlpdtrp0(sdtlpdtrp0(xC,X455),X457) = esk34_1(X455)
| ~ aElementOf0(X455,szNzAzT0) )
& ( ~ aElementOf0(esk35_2(X455,X457),sdtlpdtrp0(xN,szszuzczcdt0(X455)))
| sbrdtbr0(X457) != xk
| ~ aSet0(X457)
| sdtlpdtrp0(sdtlpdtrp0(xC,X455),X457) = esk34_1(X455)
| ~ aElementOf0(X455,szNzAzT0) )
& ( ~ aSubsetOf0(X457,sdtlpdtrp0(xN,szszuzczcdt0(X455)))
| sbrdtbr0(X457) != xk
| ~ aSet0(X457)
| sdtlpdtrp0(sdtlpdtrp0(xC,X455),X457) = esk34_1(X455)
| ~ aElementOf0(X455,szNzAzT0) )
& ( ~ aElementOf0(X457,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X455)),xk))
| ~ aSet0(X457)
| sdtlpdtrp0(sdtlpdtrp0(xC,X455),X457) = esk34_1(X455)
| ~ aElementOf0(X455,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4618])])])])]) ).
cnf(c_0_8,hypothesis,
( sdtlpdtrp0(xd,X2) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4806]) ).
cnf(c_0_10,hypothesis,
sdtlpdtrp0(xd,xi) = xx,
inference(split_conjunct,[status(thm)],[m__4806]) ).
cnf(c_0_11,hypothesis,
xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,xX) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = esk34_1(X2)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
| ~ aElementOf0(X1,xX) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk40_0,xX),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,hypothesis,
( aElementOf0(esk34_1(X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = esk34_1(xi)
| ~ aElementOf0(X1,xX) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_9]),c_0_11]),c_0_12]) ).
cnf(c_0_18,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk40_0) = xx,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_20,hypothesis,
aElementOf0(esk34_1(xi),xT),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_21,hypothesis,
esk34_1(xi) = xx,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM595+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
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:49:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 21.82/12.80 % Version : CSE_E---1.7
% 21.82/12.80 % Problem : theBenchmark.p
% 21.82/12.80 % SZS status Theorem for theBenchmark.p
% 21.82/12.80 % SZS output start CNFRefutation
% See solution above
% 21.82/12.85 % Total time : 10.838s
%------------------------------------------------------------------------------