%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM464+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 : n014.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 02:24:33 PM UTC 2026
% Result : Theorem 2.92s 1.28s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 80 ( 39 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 38 ~; 27 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 14 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( xm != sz00
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( sdtpldt0(sz10,X0) = xm
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( xm != sz00
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( sdtpldt0(sz10,X0) = xm
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f39,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f71,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( xm != sz00
& ~ sdtlseqdt0(sz10,xm)
& ! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
( xm != sz00
& ~ sdtlseqdt0(sz10,xm)
& ! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(flattening,[],[f73]) ).
fof(f80,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f123,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f126,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f127,plain,
sz00 != xm,
inference(cnf_transformation,[],[f74]) ).
fof(f128,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f74]) ).
fof(f129,plain,
! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f80]) ).
tcf(c_50,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f82]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_92,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_93,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f126]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_96,negated_conjecture,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f128]) ).
tcf(c_97,negated_conjecture,
sz00 != xm,
inference(cnf_transformation,[],[f127]) ).
tcf(c_1346,negated_conjecture,
sz00 != xm,
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_1347,negated_conjecture,
~ sdtlseqdt0(sz10,xm),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_1348,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_2069,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_56]) ).
tcf(c_2091,plain,
( ~ aNaturalNumber0(sz00)
| ( sz10 != xm ) ),
inference(superposition,[status(thm)],[c_2069,c_1348]) ).
tcf(c_2092,plain,
sz10 != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_2091,c_49]) ).
tcf(c_2604,plain,
( ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_92,c_1347]) ).
tcf(c_2605,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2604,c_2092,c_1346,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM464+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 : n014.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 04:06:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.92/1.28 % SZS status Started for theBenchmark.p
% 2.92/1.28 % SZS status Theorem for theBenchmark.p
% 2.92/1.28
% 2.92/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.92/1.28
% 2.92/1.28 % ------ iProver source info
% 2.92/1.28
% 2.92/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.92/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.92/1.28 % git: non_committed_changes: false
% 2.92/1.28
% 2.92/1.28 % ------ Parsing...
% 2.92/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.92/1.28
% 2.92/1.28 % ------ 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 %
% 2.92/1.28
% 2.92/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.92/1.28
% 2.92/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.92/1.28 % ------ Proving...
% 2.92/1.28 % ------ Problem Properties
% 2.92/1.28
% 2.92/1.28 %
% 2.92/1.28 % clauses 44
% 2.92/1.28 % conjectures 3
% 2.92/1.28 % EPR 12
% 2.92/1.28 % Horn 35
% 2.92/1.28 % unary 7
% 2.92/1.28 % binary 8
% 2.92/1.28 % lits 153
% 2.92/1.28 % lits eq 44
% 2.92/1.28 % fd_pure 0
% 2.92/1.28 % fd_pseudo 0
% 2.92/1.28 % fd_cond 4
% 2.92/1.28 % fd_pseudo_cond 9
% 2.92/1.28 % AC symbols 0
% 2.92/1.28
% 2.92/1.28 % ------ Schedule dynamic 5 is on
% 2.92/1.28
% 2.92/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.92/1.28
% 2.92/1.28
% 2.92/1.28 % ------
% 2.92/1.28 % Current options:
% 2.92/1.28 % ------
% 2.92/1.28
% 2.92/1.28
% 2.92/1.28 %
% 2.92/1.28
% 2.92/1.28 % ------ Proving...
% 2.92/1.28 %
% 2.92/1.28
% 2.92/1.28 % SZS status Theorem for theBenchmark.p
% 2.92/1.28
% 2.92/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.92/1.28
% 2.92/1.28
%------------------------------------------------------------------------------