%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 4.50s 1.09s
% Output : Proof 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 8 unt; 1 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 90 ( 32 ~; 34 |; 19 &)
% ( 1 <=>; 4 =>; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 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/sandbox2/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]) ).
fof(f13,hypothesis,
( aSet0(xC)
& aSet0(xB)
& aSet0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__522) ).
fof(f13_nnf,plain,
( aSet0(xC)
& aSet0(xB)
& aSet0(xA) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( aSet0(xC)
& aSet0(xB)
& aSet0(xA) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c20,plain,
aSet0(xC),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p64,plain,
( ~ aElementOf0(sk1(xC,X0),xC)
| ~ aSet0(X0)
| aSubsetOf0(X0,xC) ),
inference(resolution,[status(thm)],[c14,c20]) ).
cnf(c18,plain,
aSet0(xA),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p108,plain,
( ~ aElementOf0(sk1(xC,xA),xC)
| aSubsetOf0(xA,xC) ),
inference(resolution,[status(thm)],[p64,c18]) ).
cnf(c13,plain,
( aElementOf0(sk1(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p58,plain,
( aElementOf0(sk1(xC,X0),X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,xC) ),
inference(resolution,[status(thm)],[c13,c20]) ).
cnf(p90,plain,
( aElementOf0(sk1(xC,xA),xA)
| aSubsetOf0(xA,xC) ),
inference(resolution,[status(thm)],[p58,c18]) ).
cnf(c12,plain,
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(c19,plain,
aSet0(xB),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p53,plain,
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xB) ),
inference(resolution,[status(thm)],[c12,c19]) ).
fof(f14,conjecture,
( ( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) )
=> aSubsetOf0(xA,xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f14_neg,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) )
=> aSubsetOf0(xA,xC) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f14_nnf,plain,
( ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) ),
inference(nnf_transformation,[status(thm)],[f14_neg]) ).
fof(f14_sk,plain,
( ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c21,plain,
aSubsetOf0(xA,xB),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p75,plain,
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) ),
inference(resolution,[status(thm)],[p53,c21]) ).
cnf(p94,plain,
( aElementOf0(sk1(xC,xA),xB)
| aSubsetOf0(xA,xC) ),
inference(resolution,[status(thm)],[p90,p75]) ).
cnf(p54,plain,
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xC) ),
inference(resolution,[status(thm)],[c12,c20]) ).
cnf(c22,plain,
aSubsetOf0(xB,xC),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p77,plain,
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) ),
inference(resolution,[status(thm)],[p54,c22]) ).
cnf(p98,plain,
( aElementOf0(sk1(xC,xA),xC)
| aSubsetOf0(xA,xC) ),
inference(resolution,[status(thm)],[p94,p77]) ).
cnf(p112,plain,
( aSubsetOf0(xA,xC)
| aSubsetOf0(xA,xC) ),
inference(resolution,[status(thm)],[p108,p98]) ).
cnf(p113,plain,
aSubsetOf0(xA,xC),
inference(factoring,[status(thm)],[p112]) ).
cnf(c23,plain,
~ aSubsetOf0(xA,xC),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p114,plain,
$false,
inference(resolution,[status(thm)],[p113,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 04:32:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.50/1.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.50/1.09 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------