%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM434+3 : 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 : n003.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 02:24:14 PM UTC 2026
% Result : Theorem 2.80s 1.50s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 3 def)
% Number of atoms : 40 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 26 ( 12 ~; 4 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 4 !; 3 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
( sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& ? [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
& sdtasdt0(xp,xq) != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1003) ).
fof(f25,conjecture,
? [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f59,plain,
! [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f65,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK1)
& aInteger0(sK1)
& sdtasdt0(xp,xq) != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f24]) ).
fof(f106,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f107,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f109,plain,
! [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_88,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f107]) ).
tcf(c_89,plain,
sdtasdt0(sdtasdt0(xp,xq),sK1) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f106]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( ~ aInteger0(X0)
| ( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb)) ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_800,definition,
iPr_def_10 = sdtasdt0(xp,xq),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_801,definition,
iPr_def_11 = smndt0(xb),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_802,definition,
iPr_def_12 = sdtpldt0(xa,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_803,negated_conjecture,
! [X0: $i] :
( ~ aInteger0(X0)
| ( sdtasdt0(iPr_def_10,X0) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_92,c_801,c_802,c_800]) ).
tcf(c_1924,plain,
sdtasdt0(iPr_def_10,sK1) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_89,c_800,c_801,c_802]) ).
tcf(c_1926,plain,
~ aInteger0(sK1),
inference(superposition,[status(thm)],[c_1924,c_803]) ).
tcf(c_1927,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1926,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM434+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n003.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Thu Sep 24 03:59:37 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.63 Running first-order theorem proving
% 0.10/0.63 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
% 0.15/0.64
% 0.15/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.64
% 0.15/0.64 % Detected problem language: tptp
% 0.15/0.65 % Proving...
% 2.80/1.50 % SZS status Started for theBenchmark.p
% 2.80/1.50 % SZS status Theorem for theBenchmark.p
% 2.80/1.50
% 2.80/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.80/1.50
% 2.80/1.50 % ------ iProver source info
% 2.80/1.50
% 2.80/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.80/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.80/1.50 % git: non_committed_changes: false
% 2.80/1.50
% 2.80/1.50 % ------ Parsing...
% 2.80/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.80/1.50
% 2.80/1.50 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.80/1.50
% 2.80/1.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.80/1.50
% 2.80/1.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.80/1.50 % ------ Proving...
% 2.80/1.50 % ------ Problem Properties
% 2.80/1.50
% 2.80/1.50 %
% 2.80/1.50 % clauses 47
% 2.80/1.50 % conjectures 1
% 2.80/1.50 % EPR 14
% 2.80/1.50 % Horn 40
% 2.80/1.50 % unary 16
% 2.80/1.50 % binary 13
% 2.80/1.50 % lits 118
% 2.80/1.50 % lits eq 34
% 2.80/1.50 % fd_pure 0
% 2.80/1.50 % fd_pseudo 0
% 2.80/1.50 % fd_cond 7
% 2.80/1.50 % fd_pseudo_cond 0
% 2.80/1.50 % AC symbols 0
% 2.80/1.50
% 2.80/1.50 % ------ Schedule dynamic 5 is on
% 2.80/1.50
% 2.80/1.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.80/1.50
% 2.80/1.50
% 2.80/1.50 % ------
% 2.80/1.50 % Current options:
% 2.80/1.50 % ------
% 2.80/1.50
% 2.80/1.50
% 2.80/1.50 %
% 2.80/1.50
% 2.80/1.50 % ------ Proving...
% 2.80/1.50 %
% 2.80/1.50
% 2.80/1.50 % SZS status Theorem for theBenchmark.p
% 2.80/1.50
% 2.80/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.80/1.50
% 2.80/1.50
%------------------------------------------------------------------------------