%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM532+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:20:17 PM UTC 2026
% Result : Theorem 0.14s 0.99s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 1 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 23 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f9_nnf,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [W0,W1,W2] :
( ( ( ( ~ aElementOf0(sk1(W0,W1),W0)
& aElementOf0(sk1(W0,W1),W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ( ( ( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f9_nnf]) ).
cnf(c14,plain,
( ~ aElementOf0(sk1(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p44,plain,
( ~ aElementOf0(sk1(X0,X0),X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(factoring,[status(thm)],[c14]) ).
fof(f11,hypothesis,
aSet0(xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__467) ).
fof(f11_nnf,plain,
aSet0(xA),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c16,plain,
aSet0(xA),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p51,plain,
( ~ aElementOf0(sk1(xA,xA),xA)
| aSubsetOf0(xA,xA) ),
inference(resolution,[status(thm)],[p44,c16]) ).
cnf(c13,plain,
( aElementOf0(sk1(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p37,plain,
( aElementOf0(sk1(X0,X0),X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(factoring,[status(thm)],[c13]) ).
cnf(p41,plain,
( aElementOf0(sk1(xA,xA),xA)
| aSubsetOf0(xA,xA) ),
inference(resolution,[status(thm)],[p37,c16]) ).
cnf(p52,plain,
( aSubsetOf0(xA,xA)
| aSubsetOf0(xA,xA) ),
inference(resolution,[status(thm)],[p51,p41]) ).
cnf(p53,plain,
aSubsetOf0(xA,xA),
inference(factoring,[status(thm)],[p52]) ).
fof(f12,conjecture,
aSubsetOf0(xA,xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f12_neg,negated_conjecture,
~ aSubsetOf0(xA,xA),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f12_nnf,plain,
~ aSubsetOf0(xA,xA),
inference(nnf_transformation,[status(thm)],[f12_neg]) ).
fof(f12_sk,plain,
~ aSubsetOf0(xA,xA),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c17,plain,
~ aSubsetOf0(xA,xA),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p54,plain,
$false,
inference(resolution,[status(thm)],[p53,c17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM532+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.57 % Computer : n011.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Thu Sep 24 04:29:14 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.99 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------