%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM472+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 : 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 02:24:57 PM UTC 2026
% Result : Theorem 3.16s 1.27s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 1 def)
% Number of atoms : 25 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 11 ~; 6 |; 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 4 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f39,conjecture,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f97,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f163,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f180,plain,
! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_104,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f163]) ).
tcf(c_118,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_1766,definition,
iPr_def_10 = sdtpldt0(xm,xn),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1768,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_2726,plain,
~ aNaturalNumber0(xn),
inference(superposition,[status(thm)],[c_1766,c_1768]) ).
tcf(c_2727,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2726,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 04:14:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.16/1.27 % SZS status Started for theBenchmark.p
% 3.16/1.27 % SZS status Theorem for theBenchmark.p
% 3.16/1.27
% 3.16/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.16/1.27
% 3.16/1.27 % ------ iProver source info
% 3.16/1.27
% 3.16/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.16/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.16/1.27 % git: non_committed_changes: false
% 3.16/1.27
% 3.16/1.27 % ------ Parsing...
% 3.16/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.16/1.27
% 3.16/1.27 % ------ Preprocessing... sup_sim: 0 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 %
% 3.16/1.27
% 3.16/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.16/1.27
% 3.16/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.16/1.27 % ------ Proving...
% 3.16/1.27 % ------ Problem Properties
% 3.16/1.27
% 3.16/1.27 %
% 3.16/1.27 % clauses 67
% 3.16/1.27 % conjectures 2
% 3.16/1.27 % EPR 19
% 3.16/1.27 % Horn 54
% 3.16/1.27 % unary 21
% 3.16/1.27 % binary 8
% 3.16/1.27 % lits 208
% 3.16/1.27 % lits eq 58
% 3.16/1.27 % fd_pure 0
% 3.16/1.27 % fd_pseudo 0
% 3.16/1.27 % fd_cond 6
% 3.16/1.27 % fd_pseudo_cond 9
% 3.16/1.27 % AC symbols 0
% 3.16/1.27
% 3.16/1.27 % ------ Schedule dynamic 5 is on
% 3.16/1.27
% 3.16/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.16/1.27
% 3.16/1.27
% 3.16/1.27 % ------
% 3.16/1.27 % Current options:
% 3.16/1.27 % ------
% 3.16/1.27
% 3.16/1.27
% 3.16/1.27 %
% 3.16/1.27
% 3.16/1.27 % ------ Proving...
% 3.16/1.27 %
% 3.16/1.27
% 3.16/1.27 % SZS status Theorem for theBenchmark.p
% 3.16/1.27
% 3.16/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.27
% 3.16/1.27
%------------------------------------------------------------------------------