%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 02:26:02 PM UTC 2026
% Result : Theorem 0.57s 1.29s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 79 ( 11 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 99 ( 39 ~; 19 |; 33 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 22 !; 10 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f79,conjecture,
( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f80,negated_conjecture,
~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) ) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f90,plain,
~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) ) ) ),
inference(rectify,[],[f80]) ).
fof(f92,plain,
! [X0] :
( X0 = slcrc0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f195,plain,
( ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [X1] :
( aElementOf0(X1,slcrc0)
& ~ aElementOf0(X1,xS) ) ),
inference(ennf_transformation,[],[f90]) ).
fof(f196,plain,
( ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [X1] :
( aElementOf0(X1,slcrc0)
& ~ aElementOf0(X1,xS) ) ),
inference(flattening,[],[f195]) ).
fof(f208,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f209,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( aElementOf0(sK8(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f210]) ).
fof(f283,plain,
( ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [X0] :
( aElementOf0(X0,slcrc0)
& ~ aElementOf0(X0,xS) ) ),
inference(rectify,[],[f196]) ).
fof(f284,plain,
( ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& aElementOf0(sK37,slcrc0)
& ~ aElementOf0(sK37,xS) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f283]) ).
fof(f286,plain,
! [X2,X0] :
( slcrc0 != X0
| ~ aElementOf0(X2,X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f486,plain,
aElementOf0(sK37,slcrc0),
inference(cnf_transformation,[],[f284]) ).
fof(f501,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f286]) ).
tcf(c_52,plain,
! [X0: $i] : ~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f501]) ).
tcf(c_246,negated_conjecture,
aElementOf0(sK37,slcrc0),
inference(cnf_transformation,[],[f486]) ).
tcf(c_435,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_246,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n009.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 04:39:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 0.57/1.29 % SZS status Started for theBenchmark.p
% 0.57/1.29 % SZS status Theorem for theBenchmark.p
% 0.57/1.29
% 0.57/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.57/1.29
% 0.57/1.29 % ------ iProver source info
% 0.57/1.29
% 0.57/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.57/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.57/1.29 % git: non_committed_changes: false
% 0.57/1.29
% 0.57/1.29 % ------ Parsing...
% 0.57/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.57/1.29
% 0.57/1.29 % ------ Preprocessing...%
% 0.57/1.29
% 0.57/1.29 % SZS status Theorem for theBenchmark.p
% 0.57/1.29
% 0.57/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.57/1.29
% 0.57/1.29
%------------------------------------------------------------------------------