%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 02:25:56 PM UTC 2026
% Result : Theorem 1.53s 1.28s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 3 |; 15 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 9 !; 6 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f52,conjecture,
( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f53,negated_conjecture,
~ ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00)) ) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f60,plain,
~ ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00)) ) ),
inference(rectify,[],[f53]) ).
fof(f128,plain,
( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& ? [X1] : aElementOf0(X1,slbdtrb0(sz00)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f129,plain,
( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& ? [X1] : aElementOf0(X1,slbdtrb0(sz00)) ),
inference(flattening,[],[f128]) ).
fof(f173,plain,
( ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& ? [X0] : aElementOf0(X0,slbdtrb0(sz00)) ),
inference(rectify,[],[f129]) ).
fof(f174,plain,
( ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00))
& slcrc0 != slbdtrb0(sz00)
& aElementOf0(sK13,slbdtrb0(sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f173]) ).
fof(f265,plain,
! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f174]) ).
fof(f268,plain,
aElementOf0(sK13,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f174]) ).
tcf(c_139,negated_conjecture,
aElementOf0(sK13,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f268]) ).
tcf(c_142,negated_conjecture,
! [X0: $i] : ~ aElementOf0(X0,slbdtrb0(sz00)),
inference(cnf_transformation,[],[f265]) ).
tcf(c_232,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_139,c_142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 04:33:52 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.53/1.28 % SZS status Started for theBenchmark.p
% 1.53/1.28 % SZS status Theorem for theBenchmark.p
% 1.53/1.28
% 1.53/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.53/1.28
% 1.53/1.28 % ------ iProver source info
% 1.53/1.28
% 1.53/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.53/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.53/1.28 % git: non_committed_changes: false
% 1.53/1.28
% 1.53/1.28 % ------ Parsing...
% 1.53/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.53/1.28
% 1.53/1.28 % ------ Preprocessing...%
% 1.53/1.28
% 1.53/1.28 % SZS status Theorem for theBenchmark.p
% 1.53/1.28
% 1.53/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.28
% 1.53/1.28
%------------------------------------------------------------------------------