%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM557+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 : n018.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 02:26:00 PM UTC 2026
% Result : Theorem 1.41s 6.27s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 37 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 14 ~; 9 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f72,axiom,
( sbrdtbr0(xP) = xk
& aSubsetOf0(xP,xS)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
fof(f73,conjecture,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(xP) = xk
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f74,negated_conjecture,
~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(xP) = xk
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f168,plain,
( sbrdtbr0(xP) = xk
& aSubsetOf0(xP,xS)
& ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xS) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f169,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( aElementOf0(X0,xP)
& ~ aElementOf0(X0,xS) ) ) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f227,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& aElementOf0(sK19,xP)
& ~ aElementOf0(sK19,xS) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f169]) ).
fof(f398,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f168]) ).
fof(f399,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f168]) ).
fof(f402,plain,
( xk != sbrdtbr0(xP)
| ~ aSubsetOf0(xP,xS) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_220,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f399]) ).
tcf(c_221,plain,
sbrdtbr0(xP) = xk,
inference(cnf_transformation,[],[f398]) ).
tcf(c_224,negated_conjecture,
( ~ aSubsetOf0(xP,xS)
| ( sbrdtbr0(xP) != xk ) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_249,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_224,c_221,c_220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM557+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.36 % Computer : n018.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Thu Sep 24 04:39:09 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.40 Running first-order theorem proving
% 0.12/5.40 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
% 0.12/5.41
% 0.12/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.41
% 0.12/5.41 % Detected problem language: tptp
% 0.12/5.42 % Proving...
% 1.41/6.27 % SZS status Started for theBenchmark.p
% 1.41/6.27 % SZS status Theorem for theBenchmark.p
% 1.41/6.27
% 1.41/6.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.41/6.27
% 1.41/6.27 % ------ iProver source info
% 1.41/6.27
% 1.41/6.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.41/6.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.41/6.27 % git: non_committed_changes: false
% 1.41/6.27
% 1.41/6.27 % ------ Parsing...
% 1.41/6.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.41/6.27
% 1.41/6.27 % ------ Preprocessing...%
% 1.41/6.27
% 1.41/6.27 % SZS status Theorem for theBenchmark.p
% 1.41/6.27
% 1.41/6.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.41/6.27
% 1.41/6.27
%------------------------------------------------------------------------------