%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 02:24:04 PM UTC 2026
% Result : Theorem 0.17s 1.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 12 |; 6 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f27,conjecture,
ordinal(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_ordinal1) ).
fof(f28,negated_conjecture,
~ ordinal(empty_set),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f30,axiom,
( epsilon_connected(empty_set)
& epsilon_transitive(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l18_ordinal1) ).
fof(f31,plain,
~ ordinal(empty_set),
inference(flattening,[],[f28]) ).
fof(f64,plain,
! [X0] :
( ( ~ ordinal(X0)
| ( epsilon_connected(X0)
& epsilon_transitive(X0) ) )
& ( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0] :
( ( ~ ordinal(X0)
| ( epsilon_connected(X0)
& epsilon_transitive(X0) ) )
& ( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ) ),
inference(flattening,[],[f64]) ).
fof(f106,plain,
~ ordinal(empty_set),
inference(cnf_transformation,[],[f31]) ).
fof(f109,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f110,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[],[f30]) ).
fof(f111,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[],[f30]) ).
tcf(c_87,negated_conjecture,
~ ordinal(empty_set),
inference(cnf_transformation,[],[f106]) ).
tcf(c_88,plain,
! [X0: $i] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_91,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[],[f111]) ).
tcf(c_92,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[],[f110]) ).
tcf(c_98,plain,
( ordinal(empty_set)
| ~ epsilon_connected(empty_set)
| ~ epsilon_transitive(empty_set) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_99,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_98,c_87,c_91,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.52 % Computer : n012.cluster.edu
% 0.03/0.52 % Model : x86_64 x86_64
% 0.03/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.52 % Memory : 8046.5625MB
% 0.03/0.52 % OS : Linux 6.8.0-71-generic
% 0.03/0.52 % CPULimit : 300
% 0.03/0.52 % WCLimit : 300
% 0.03/0.52 % DateTime : Thu Sep 24 03:49:51 UTC 2026
% 0.03/0.52 % CPUTime :
% 0.03/0.52 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.54 Running first-order theorem proving
% 0.07/0.54 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
% 0.07/0.54
% 0.07/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.54
% 0.07/0.54 % Detected problem language: tptp
% 0.07/0.55 % Proving...
% 0.17/1.17 % SZS status Started for theBenchmark.p
% 0.17/1.17 % SZS status Theorem for theBenchmark.p
% 0.17/1.17
% 0.17/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.17/1.17
% 0.17/1.17 % ------ iProver source info
% 0.17/1.17
% 0.17/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 0.17/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.17/1.17 % git: non_committed_changes: false
% 0.17/1.17
% 0.17/1.17 % ------ Parsing...
% 0.17/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.17/1.17
% 0.17/1.17 % ------ Preprocessing...%
% 0.17/1.17
% 0.17/1.17 % SZS status Theorem for theBenchmark.p
% 0.17/1.17
% 0.17/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.17/1.17
% 0.17/1.17
%------------------------------------------------------------------------------