%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM521+1 : 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 : n026.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 02:25:49 PM UTC 2026
% Result : Theorem 4.20s 6.30s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 27 unt; 0 def)
% Number of atoms : 170 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 191 ( 86 ~; 74 |; 24 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 48 !; 5 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
~ ( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f46,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f51]) ).
fof(f62,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f83]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f95]) ).
fof(f115,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(ennf_transformation,[],[f44]) ).
fof(f116,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn) ),
inference(ennf_transformation,[],[f46]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f123]) ).
fof(f134,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f144,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f200,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f201,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f202,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f206,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f207,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f208,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(cnf_transformation,[],[f115]) ).
fof(f209,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f116]) ).
fof(f210,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f116]) ).
fof(f217,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f181]) ).
tcf(c_50,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f134]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_116,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f202]) ).
tcf(c_117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f201]) ).
tcf(c_118,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f200]) ).
tcf(c_122,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f206]) ).
tcf(c_123,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f207]) ).
tcf(c_124,plain,
( ( xm = xp )
| ( xn = xp )
| ~ sdtlseqdt0(xm,xp)
| ~ sdtlseqdt0(xn,xp) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_125,negated_conjecture,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f210]) ).
tcf(c_126,negated_conjecture,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f209]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_53,c_95]) ).
tcf(c_3383,negated_conjecture,
~ doDivides0(xp,xm),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_3384,negated_conjecture,
~ doDivides0(xp,xn),
inference(demodulation,[status(thm)],[c_125]) ).
tcf(c_4645,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_118,c_60]) ).
tcf(c_4779,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4645,c_174]) ).
tcf(c_4794,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4779,c_118,c_50]) ).
tcf(c_4834,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_83,c_122]) ).
tcf(c_4835,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_83,c_123]) ).
tcf(c_4838,plain,
sdtlseqdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4835,c_118,c_117]) ).
tcf(c_4839,plain,
sdtlseqdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4834,c_118,c_116]) ).
tcf(c_5698,plain,
( ( xm = xp )
| ( xn = xp ) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_124,c_4839,c_4838]) ).
tcf(c_5726,plain,
( ( xn = xp )
| ~ doDivides0(xp,xp) ),
inference(superposition,[status(thm)],[c_5698,c_3383]) ).
tcf(c_5727,plain,
xn = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_5726,c_4794]) ).
tcf(c_5752,plain,
~ doDivides0(xp,xp),
inference(demodulation,[status(thm)],[c_3384,c_5727]) ).
tcf(c_5753,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5752,c_4794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM521+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n026.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 04:28:00 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 4.20/6.30 % SZS status Started for theBenchmark.p
% 4.20/6.30 % SZS status Theorem for theBenchmark.p
% 4.20/6.30
% 4.20/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.20/6.30
% 4.20/6.30 % ------ iProver source info
% 4.20/6.30
% 4.20/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.20/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.20/6.30 % git: non_committed_changes: false
% 4.20/6.30
% 4.20/6.30 % ------ Parsing...
% 4.20/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.20/6.30
% 4.20/6.30 % ------ 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 %
% 4.20/6.30
% 4.20/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.20/6.30
% 4.20/6.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.20/6.30 % ------ Proving...
% 4.20/6.30 % ------ Problem Properties
% 4.20/6.30
% 4.20/6.30 %
% 4.20/6.30 % clauses 73
% 4.20/6.30 % conjectures 2
% 4.20/6.30 % EPR 23
% 4.20/6.30 % Horn 47
% 4.20/6.30 % unary 14
% 4.20/6.30 % binary 7
% 4.20/6.30 % lits 271
% 4.20/6.30 % lits eq 73
% 4.20/6.30 % fd_pure 0
% 4.20/6.30 % fd_pseudo 0
% 4.20/6.30 % fd_cond 15
% 4.20/6.30 % fd_pseudo_cond 11
% 4.20/6.30 % AC symbols 0
% 4.20/6.30
% 4.20/6.30 % ------ Schedule dynamic 5 is on
% 4.20/6.30
% 4.20/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.20/6.30
% 4.20/6.30
% 4.20/6.30 % ------
% 4.20/6.30 % Current options:
% 4.20/6.30 % ------
% 4.20/6.30
% 4.20/6.30
% 4.20/6.30 %
% 4.20/6.30
% 4.20/6.30 % ------ Proving...
% 4.20/6.30 %
% 4.20/6.30
% 4.20/6.30 % SZS status Theorem for theBenchmark.p
% 4.20/6.30
% 4.20/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.20/6.30
% 4.20/6.30
%------------------------------------------------------------------------------