%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM617+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 : n006.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 02:26:15 PM UTC 2026
% Result : Theorem 3.86s 1.32s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 23 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 3 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f101,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f113,axiom,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(f114,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f115,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f138,plain,
~ aElementOf0(xx,szNzAzT0),
inference(flattening,[],[f115]) ).
fof(f270,plain,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f861,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f894,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f113]) ).
fof(f896,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f138]) ).
tcf(c_449,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f861]) ).
tcf(c_482,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f894]) ).
tcf(c_485,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f896]) ).
tcf(c_539,plain,
aElementOf0(xx,szNzAzT0),
inference(superposition,[status(thm)],[c_482,c_449]) ).
tcf(c_540,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_485,c_539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM617+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 04:56:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.17/0.42
% 0.17/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.42
% 0.17/0.42 % Detected problem language: tptp
% 0.17/0.43 % Proving...
% 3.86/1.32 % SZS status Started for theBenchmark.p
% 3.86/1.32 % SZS status Theorem for theBenchmark.p
% 3.86/1.32
% 3.86/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.86/1.32
% 3.86/1.32 % ------ iProver source info
% 3.86/1.32
% 3.86/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.86/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.86/1.32 % git: non_committed_changes: false
% 3.86/1.32
% 3.86/1.32 % ------ Parsing...
% 3.86/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.86/1.32 % ------ Proving...
% 3.86/1.32 % ------ Problem Properties
% 3.86/1.32
% 3.86/1.32 %
% 3.86/1.32 % clauses 437
% 3.86/1.32 % conjectures 1
% 3.86/1.32 % EPR 91
% 3.86/1.32 % Horn 352
% 3.86/1.32 % unary 73
% 3.86/1.32 % binary 127
% 3.86/1.32 % lits 1327
% 3.86/1.32 % lits eq 176
% 3.86/1.32 % fd_pure 0
% 3.86/1.32 % fd_pseudo 0
% 3.86/1.32 % fd_cond 11
% 3.86/1.32 % fd_pseudo_cond 47
% 3.86/1.32 % AC symbols 0
% 3.86/1.32
% 3.86/1.32 % ------ Input Options Time Limit: Unbounded
% 3.86/1.32
% 3.86/1.32
% 3.86/1.32 % ------
% 3.86/1.32 % Current options:
% 3.86/1.32 % ------
% 3.86/1.32
% 3.86/1.32
% 3.86/1.32 %
% 3.86/1.32
% 3.86/1.32 % ------ Proving...
% 3.86/1.32 %
% 3.86/1.32
% 3.86/1.32 % ------ Proving...
% 3.86/1.32 %
% 3.86/1.32
% 3.86/1.32 % SZS status Theorem for theBenchmark.p
% 3.86/1.32
% 3.86/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.32
% 3.86/1.32
%------------------------------------------------------------------------------