%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP001_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:47:27 PM UTC 2026
% Result : Theorem 1.12s 1.25s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
bool: del ).
tff(pred_def_1,type,
mem: ( del * $i ) > $o ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( $i * del ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_10,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_11,type,
sK0: ( $i * ( $i * del ) ) > $i ).
fof(f15,conjecture,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).
fof(f16,negated_conjecture,
~ $true,
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f18,plain,
$false,
inference(true_and_false_elimination,[],[f16]) ).
fof(f48,plain,
$false,
inference(cnf_transformation,[],[f18]) ).
tcf(c_49,negated_conjecture,
$false,
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP001_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 17:25:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.12/1.25 % SZS status Started for theBenchmark.p
% 1.12/1.25 % SZS status Theorem for theBenchmark.p
% 1.12/1.25
% 1.12/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.12/1.25
% 1.12/1.25 % ------ iProver source info
% 1.12/1.25
% 1.12/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.12/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.12/1.25 % git: non_committed_changes: false
% 1.12/1.25
% 1.12/1.25 % ------ Parsing...
% 1.12/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.12/1.25
% 1.12/1.25 % SZS status Theorem for theBenchmark.p
% 1.12/1.25
% 1.12/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.25
% 1.12/1.25
%------------------------------------------------------------------------------