%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM625+3 : 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 : n010.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 02:26:17 PM UTC 2026
% Result : Theorem 2.03s 8.37s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 20 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 1 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 0 ( 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f103,axiom,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f113,axiom,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f120,axiom,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
fof(f279,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f879,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f279]) ).
fof(f905,plain,
szmzizndt0(xQ) != xx,
inference(cnf_transformation,[],[f113]) ).
fof(f921,plain,
xp = xx,
inference(cnf_transformation,[],[f120]) ).
fof(f924,plain,
szmzizndt0(xQ) = xx,
inference(definition_unfolding,[],[f879,f921]) ).
tcf(c_458,plain,
szmzizndt0(xQ) = xx,
inference(cnf_transformation,[],[f924]) ).
tcf(c_483,plain,
szmzizndt0(xQ) != xx,
inference(cnf_transformation,[],[f905]) ).
tcf(c_501,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_483,c_458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/7.46 % Computer : n010.cluster.edu
% 0.11/7.46 % Model : x86_64 x86_64
% 0.11/7.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/7.46 % Memory : 8046.5625MB
% 0.11/7.46 % OS : Linux 6.8.0-71-generic
% 0.11/7.46 % CPULimit : 300
% 0.11/7.46 % WCLimit : 300
% 0.11/7.46 % DateTime : Thu Sep 24 04:59:24 UTC 2026
% 0.11/7.46 % CPUTime :
% 0.11/7.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/7.50 Running first-order theorem proving
% 0.16/7.50 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
% 0.16/7.51
% 0.16/7.51 % ======== iProver multi-core TPTP/SMT =========
% 0.16/7.51
% 0.16/7.51 % Detected problem language: tptp
% 0.16/7.52 % Proving...
% 2.03/8.37 % SZS status Started for theBenchmark.p
% 2.03/8.37 % SZS status Theorem for theBenchmark.p
% 2.03/8.37
% 2.03/8.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.03/8.37
% 2.03/8.37 % ------ iProver source info
% 2.03/8.37
% 2.03/8.37 % git: date: 2026-07-19 20:42:38 +0200
% 2.03/8.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.03/8.37 % git: non_committed_changes: false
% 2.03/8.37
% 2.03/8.37 % ------ Parsing...
% 2.03/8.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.03/8.37
% 2.03/8.37 % ------ Preprocessing...%
% 2.03/8.37
% 2.03/8.37 % SZS status Theorem for theBenchmark.p
% 2.03/8.37
% 2.03/8.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/8.37
% 2.03/8.37
%------------------------------------------------------------------------------