%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL432-2 : 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 : n010.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 02:06:37 PM UTC 2026
% Result : Unsatisfiable 1.08s 1.48s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0,X1] :
( c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(X1))
| ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0_0) ).
tcf(c_52,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_x,t_a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(X1))
| ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c_52,c_54]) ).
tcf(c_65,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_64,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL432-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.66 % Computer : n010.cluster.edu
% 0.19/0.66 % Model : x86_64 x86_64
% 0.19/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.66 % Memory : 8046.5625MB
% 0.19/0.66 % OS : Linux 6.8.0-71-generic
% 0.19/0.66 % CPULimit : 300
% 0.19/0.66 % WCLimit : 300
% 0.19/0.66 % DateTime : Wed Sep 23 23:20:28 UTC 2026
% 0.19/0.66 % CPUTime :
% 0.19/0.66 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.71 Running first-order theorem proving
% 0.23/0.71 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
% 0.23/0.72
% 0.23/0.72 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.72
% 0.23/0.73 % Detected problem language: tptp
% 0.23/0.74 % Proving...
% 1.08/1.48 % SZS status Started for theBenchmark.p
% 1.08/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 1.08/1.48
% 1.08/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.08/1.48
% 1.08/1.48 % ------ iProver source info
% 1.08/1.48
% 1.08/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 1.08/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.08/1.48 % git: non_committed_changes: false
% 1.08/1.48
% 1.08/1.48 % ------ Parsing...% successful
% 1.08/1.48
% 1.08/1.48
% 1.08/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.08/1.48
% 1.08/1.48 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s %
% 1.08/1.48
% 1.08/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 1.08/1.48
% 1.08/1.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.08/1.48
% 1.08/1.48
%------------------------------------------------------------------------------