%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET054+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 02:46:16 PM UTC 2026
% Result : Theorem 1.39s 1.45s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 26 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 25 ( 12 ~; 7 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 12 !; 1 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',extensionality) ).
fof(f44,conjecture,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).
fof(f45,negated_conjecture,
~ ! [X0] : subclass(X0,X0),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f60,plain,
? [X0] : ~ subclass(X0,X0),
inference(ennf_transformation,[],[f45]) ).
fof(f64,plain,
! [X0,X1] :
( ( X0 != X1
| ( subclass(X1,X0)
& subclass(X0,X1) ) )
& ( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1] :
( ( X0 != X1
| ( subclass(X1,X0)
& subclass(X0,X1) ) )
& ( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f64]) ).
fof(f103,plain,
~ subclass(sK6,sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f60]) ).
fof(f109,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f191,plain,
~ subclass(sK6,sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f229,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f109]) ).
tcf(c_54,plain,
! [X0: $i] : subclass(X0,X0),
inference(cnf_transformation,[],[f229]) ).
tcf(c_128,negated_conjecture,
~ subclass(sK6,sK6),
inference(cnf_transformation,[],[f191]) ).
tcf(c_197,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_128,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET054+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.55 % Computer : n008.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Thu Sep 24 09:27:40 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.55 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.58 Running first-order theorem proving
% 0.13/0.58 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
% 0.13/0.59
% 0.13/0.59 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.59
% 0.13/0.59 % Detected problem language: tptp
% 0.13/0.61 % Proving...
% 1.39/1.45 % SZS status Started for theBenchmark.p
% 1.39/1.45 % SZS status Theorem for theBenchmark.p
% 1.39/1.45
% 1.39/1.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.39/1.45
% 1.39/1.45 % ------ iProver source info
% 1.39/1.45
% 1.39/1.45 % git: date: 2026-07-19 20:42:38 +0200
% 1.39/1.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.39/1.45 % git: non_committed_changes: false
% 1.39/1.45
% 1.39/1.45 % ------ Parsing...
% 1.39/1.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.39/1.45
% 1.39/1.45 % ------ Preprocessing...%
% 1.39/1.45
% 1.39/1.45 % SZS status Theorem for theBenchmark.p
% 1.39/1.45
% 1.39/1.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.39/1.45
% 1.39/1.45
%------------------------------------------------------------------------------