%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 03:16:12 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.46s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 15 unt; 3 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
~ less_than(n,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f16,negated_conjecture,
~ less_than(k,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f19,negated_conjecture,
less_than(one,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
less_than(a(k),a(predecessor(l))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(predecessor(l)))
| ~ less_than(one,l)
| less_than(n,X0)
| less_than(X0,l) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
tcf(c_80,negated_conjecture,
~ less_than(n,k),
inference(cnf_transformation,[],[f15]) ).
tcf(c_81,negated_conjecture,
~ less_than(k,l),
inference(cnf_transformation,[],[f16]) ).
tcf(c_84,negated_conjecture,
less_than(one,l),
inference(cnf_transformation,[],[f19]) ).
tcf(c_85,negated_conjecture,
less_than(a(k),a(predecessor(l))),
inference(cnf_transformation,[],[f20]) ).
tcf(c_87,negated_conjecture,
! [X0: $i] :
( less_than(n,X0)
| less_than(X0,l)
| ~ less_than(one,l)
| ~ less_than(a(X0),a(predecessor(l))) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_99,negated_conjecture,
! [X0: $i] :
( less_than(n,X0)
| less_than(X0,l)
| ~ less_than(a(X0),a(predecessor(l))) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_84,c_87]) ).
tcf(c_213,definition,
iPr_def_10 = predecessor(l),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_214,definition,
iPr_def_11 = a(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_215,definition,
iPr_def_12 = a(k),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_217,negated_conjecture,
! [X0: $i] :
( less_than(n,X0)
| less_than(X0,l)
| ~ less_than(a(X0),iPr_def_11) ),
inference(demodulation,[status(thm)],[c_99,c_213,c_214]) ).
tcf(c_220,negated_conjecture,
less_than(iPr_def_12,iPr_def_11),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_224,negated_conjecture,
~ less_than(k,l),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_225,negated_conjecture,
~ less_than(n,k),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_579,plain,
( less_than(k,l)
| less_than(n,k)
| ~ less_than(iPr_def_12,iPr_def_11) ),
inference(superposition,[status(thm)],[c_215,c_217]) ).
tcf(c_580,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_579,c_224,c_225,c_220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.54 % Computer : n015.cluster.edu
% 0.08/0.54 % Model : x86_64 x86_64
% 0.08/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.54 % Memory : 8046.5625MB
% 0.08/0.54 % OS : Linux 6.8.0-71-generic
% 0.08/0.54 % CPULimit : 300
% 0.08/0.54 % WCLimit : 300
% 0.08/0.54 % DateTime : Thu Sep 24 18:20:42 UTC 2026
% 0.08/0.55 % CPUTime :
% 0.08/0.55 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.58 Running first-order theorem proving
% 0.14/0.59 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
% 0.14/0.60
% 0.14/0.60 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.60
% 0.14/0.60 % Detected problem language: tptp
% 0.14/0.61 % Proving...
% 1.67/1.46 % SZS status Started for theBenchmark.p
% 1.67/1.46 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.46
% 1.67/1.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.46
% 1.67/1.46 % ------ iProver source info
% 1.67/1.46
% 1.67/1.46 % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.46 % git: non_committed_changes: false
% 1.67/1.46
% 1.67/1.46 % ------ Parsing...% successful
% 1.67/1.46
% 1.67/1.46
% 1.67/1.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.67/1.46
% 1.67/1.46 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.67/1.46
% 1.67/1.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.67/1.46
% 1.67/1.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.67/1.46 % ------ Proving...
% 1.67/1.46 % ------ Problem Properties
% 1.67/1.46
% 1.67/1.46 %
% 1.67/1.46 % clauses 23
% 1.67/1.46 % conjectures 9
% 1.67/1.46 % EPR 10
% 1.67/1.46 % Horn 21
% 1.67/1.46 % unary 15
% 1.67/1.46 % binary 3
% 1.67/1.46 % lits 36
% 1.67/1.46 % lits eq 11
% 1.67/1.46 % fd_pure 0
% 1.67/1.46 % fd_pseudo 0
% 1.67/1.46 % fd_cond 0
% 1.67/1.46 % fd_pseudo_cond 3
% 1.67/1.46 % AC symbols 0
% 1.67/1.46
% 1.67/1.46 % ------ Schedule dynamic 5 is on
% 1.67/1.46
% 1.67/1.46 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.46
% 1.67/1.46
% 1.67/1.46 % ------
% 1.67/1.46 % Current options:
% 1.67/1.46 % ------
% 1.67/1.46
% 1.67/1.46
% 1.67/1.46 %
% 1.67/1.46
% 1.67/1.46 % ------ Proving...
% 1.67/1.46 %
% 1.67/1.46
% 1.67/1.46 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.46
% 1.67/1.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.46
% 1.67/1.46
%------------------------------------------------------------------------------