%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM477+2 : 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 : n010.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 02:25:10 PM UTC 2026
% Result : Theorem 4.04s 17.14s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 16 unt; 0 def)
% Number of atoms : 69 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 21 |; 13 &)
% ( 0 <=>; 3 =>; 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 15 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f35,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494) ).
fof(f36,axiom,
( xn != sz00
& doDivides0(xm,xn)
& ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).
fof(f37,conjecture,
( sdtlseqdt0(xm,xn)
| ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f38,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
| ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f56,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f84]) ).
fof(f96,plain,
( ~ sdtlseqdt0(xm,xn)
& ! [X0] :
( xn != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f107,plain,
( xn != sz00
& doDivides0(xm,xn)
& xn = sdtasdt0(xm,sK2)
& aNaturalNumber0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f36]) ).
fof(f122,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f56]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f164,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f35]) ).
fof(f165,plain,
sz00 != xn,
inference(cnf_transformation,[],[f107]) ).
fof(f167,plain,
xn = sdtasdt0(xm,sK2),
inference(cnf_transformation,[],[f107]) ).
fof(f168,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f107]) ).
fof(f169,plain,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f96]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_103,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f164]) ).
tcf(c_105,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f168]) ).
tcf(c_106,plain,
sdtasdt0(xm,sK2) = xn,
inference(cnf_transformation,[],[f167]) ).
tcf(c_108,plain,
sz00 != xn,
inference(cnf_transformation,[],[f165]) ).
tcf(c_110,negated_conjecture,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f169]) ).
tcf(c_1765,negated_conjecture,
~ sdtlseqdt0(xm,xn),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_2788,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_62]) ).
tcf(c_3373,plain,
( sdtlseqdt0(xm,xn)
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_106,c_93]) ).
tcf(c_3397,plain,
sz00 = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_3373,c_1765,c_105,c_103]) ).
tcf(c_3409,plain,
sdtasdt0(xm,sz00) = xn,
inference(demodulation,[status(thm)],[c_106,c_3397]) ).
tcf(c_3411,plain,
sz00 = xn,
inference(light_normalisation,[status(thm)],[c_3409,c_2788]) ).
tcf(c_3412,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3411,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM477+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/16.22 % Computer : n010.cluster.edu
% 0.11/16.22 % Model : x86_64 x86_64
% 0.11/16.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/16.22 % Memory : 8046.5625MB
% 0.11/16.22 % OS : Linux 6.8.0-71-generic
% 0.11/16.22 % CPULimit : 300
% 0.11/16.22 % WCLimit : 300
% 0.11/16.22 % DateTime : Thu Sep 24 04:12:06 UTC 2026
% 0.11/16.23 % CPUTime :
% 0.11/16.23 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/16.26 Running first-order theorem proving
% 0.11/16.27 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
% 0.11/16.28
% 0.11/16.28 % ======== iProver multi-core TPTP/SMT =========
% 0.11/16.28
% 0.11/16.28 % Detected problem language: tptp
% 0.11/16.29 % Proving...
% 4.04/17.14 % SZS status Started for theBenchmark.p
% 4.04/17.14 % SZS status Theorem for theBenchmark.p
% 4.04/17.14
% 4.04/17.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.04/17.14
% 4.04/17.14 % ------ iProver source info
% 4.04/17.14
% 4.04/17.14 % git: date: 2026-07-19 20:42:38 +0200
% 4.04/17.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.04/17.14 % git: non_committed_changes: false
% 4.04/17.14
% 4.04/17.14 % ------ Parsing...
% 4.04/17.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.04/17.14
% 4.04/17.14 % ------ 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 %
% 4.04/17.14
% 4.04/17.14 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.04/17.14
% 4.04/17.14 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.04/17.14 % ------ Proving...
% 4.04/17.14 % ------ Problem Properties
% 4.04/17.14
% 4.04/17.14 %
% 4.04/17.14 % clauses 57
% 4.04/17.14 % conjectures 2
% 4.04/17.14 % EPR 15
% 4.04/17.14 % Horn 44
% 4.04/17.14 % unary 10
% 4.04/17.14 % binary 8
% 4.04/17.14 % lits 203
% 4.04/17.14 % lits eq 52
% 4.04/17.14 % fd_pure 0
% 4.04/17.14 % fd_pseudo 0
% 4.04/17.14 % fd_cond 6
% 4.04/17.14 % fd_pseudo_cond 9
% 4.04/17.14 % AC symbols 0
% 4.04/17.14
% 4.04/17.14 % ------ Schedule dynamic 5 is on
% 4.04/17.14
% 4.04/17.14 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/17.14
% 4.04/17.14
% 4.04/17.14 % ------
% 4.04/17.14 % Current options:
% 4.04/17.14 % ------
% 4.04/17.14
% 4.04/17.14
% 4.04/17.14 %
% 4.04/17.14
% 4.04/17.14 % ------ Proving...
% 4.04/17.14 %
% 4.04/17.14
% 4.04/17.14 % SZS status Theorem for theBenchmark.p
% 4.04/17.14
% 4.04/17.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/17.14
% 4.04/17.14
%------------------------------------------------------------------------------