%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM491+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 : n016.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 02:25:17 PM UTC 2026
% Result : Theorem 4.28s 6.34s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 20 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 9 ~; 5 |; 5 &)
% ( 0 <=>; 0 =>; 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 3 !; 2 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f48,conjecture,
( doDivides0(xp,sdtasdt0(xp,xm))
| ? [X0] :
( sdtasdt0(xp,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ( doDivides0(xp,sdtasdt0(xp,xm))
| ? [X0] :
( sdtasdt0(xp,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f58,plain,
( ~ doDivides0(xp,sdtasdt0(xp,xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f147,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f188,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f147]) ).
tcf(c_90,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xp,xm) ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_10157,plain,
~ aNaturalNumber0(xm),
inference(equality_resolution,[status(thm)],[c_90]) ).
tcf(c_10158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10157,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM491+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n016.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 04:20:18 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/5.44 Running first-order theorem proving
% 0.17/5.44 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
% 0.17/5.45
% 0.17/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.45
% 0.17/5.46 % Detected problem language: tptp
% 0.17/5.47 % Proving...
% 4.28/6.34 % SZS status Started for theBenchmark.p
% 4.28/6.34 % SZS status Theorem for theBenchmark.p
% 4.28/6.34
% 4.28/6.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.28/6.34
% 4.28/6.34 % ------ iProver source info
% 4.28/6.34
% 4.28/6.34 % git: date: 2026-07-19 20:42:38 +0200
% 4.28/6.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.28/6.34 % git: non_committed_changes: false
% 4.28/6.34
% 4.28/6.34 % ------ Parsing...
% 4.28/6.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.28/6.34
% 4.28/6.34 % ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.28/6.34
% 4.28/6.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.28/6.34
% 4.28/6.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.28/6.34 % ------ Proving...
% 4.28/6.34 % ------ Problem Properties
% 4.28/6.34
% 4.28/6.34 %
% 4.28/6.34 % clauses 99
% 4.28/6.34 % conjectures 2
% 4.28/6.34 % EPR 30
% 4.28/6.34 % Horn 65
% 4.28/6.34 % unary 27
% 4.28/6.34 % binary 12
% 4.28/6.34 % lits 346
% 4.28/6.34 % lits eq 101
% 4.28/6.34 % fd_pure 0
% 4.28/6.34 % fd_pseudo 0
% 4.28/6.34 % fd_cond 20
% 4.28/6.34 % fd_pseudo_cond 11
% 4.28/6.34 % AC symbols 0
% 4.28/6.34
% 4.28/6.34 % ------ Schedule dynamic 5 is on
% 4.28/6.34
% 4.28/6.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.28/6.34
% 4.28/6.34
% 4.28/6.34 % ------
% 4.28/6.34 % Current options:
% 4.28/6.34 % ------
% 4.28/6.34
% 4.28/6.34
% 4.28/6.34 %
% 4.28/6.34
% 4.28/6.34 % ------ Proving...
% 4.28/6.34 %
% 4.28/6.34
% 4.28/6.34 % SZS status Theorem for theBenchmark.p
% 4.28/6.34
% 4.28/6.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/6.34
% 4.28/6.34
%------------------------------------------------------------------------------