%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL446-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:06:40 PM UTC 2026
% Result : Unsatisfiable 4.07s 1.17s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1446,axiom,
! [X2,X3,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
fof(f1447,axiom,
! [X2,X3,X0,X1] :
( c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f1448,axiom,
! [X2,X3,X0,X1,X4] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
fof(f1449,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1420,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1449]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(cnf_transformation,[],[f1448]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f1447]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
inference(cnf_transformation,[],[f1446]) ).
tcf(c_4811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(superposition,[status(thm)],[c_1423,c_1424]) ).
tcf(c_4865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(superposition,[status(thm)],[c_4811,c_1424]) ).
tcf(c_5000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
inference(superposition,[status(thm)],[c_1425,c_4865]) ).
tcf(c_5033,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
inference(superposition,[status(thm)],[c_1425,c_5000]) ).
tcf(c_5042,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1420,c_5033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL446-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 23:24:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 4.07/1.17 % SZS status Started for theBenchmark.p
% 4.07/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.17
% 4.07/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.17
% 4.07/1.17 % ------ iProver source info
% 4.07/1.17
% 4.07/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.17 % git: non_committed_changes: false
% 4.07/1.17
% 4.07/1.17 % ------ Parsing...% successful
% 4.07/1.17
% 4.07/1.17
% 4.07/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.07/1.17
% 4.07/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.07/1.17
% 4.07/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.07/1.17
% 4.07/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.07/1.17 % ------ Proving...
% 4.07/1.17 % ------ Problem Properties
% 4.07/1.17
% 4.07/1.17 %
% 4.07/1.17 % clauses 7
% 4.07/1.17 % conjectures 1
% 4.07/1.17 % EPR 0
% 4.07/1.17 % Horn 7
% 4.07/1.17 % unary 3
% 4.07/1.17 % binary 3
% 4.07/1.17 % lits 12
% 4.07/1.17 % lits eq 4
% 4.07/1.17 % fd_pure 0
% 4.07/1.17 % fd_pseudo 0
% 4.07/1.17 % fd_cond 0
% 4.07/1.17 % fd_pseudo_cond 2
% 4.07/1.17 % AC symbols 0
% 4.07/1.17
% 4.07/1.17 % ------ Schedule dynamic 5 is on
% 4.07/1.17
% 4.07/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.07/1.17
% 4.07/1.17
% 4.07/1.17 % ------
% 4.07/1.17 % Current options:
% 4.07/1.17 % ------
% 4.07/1.17
% 4.07/1.17
% 4.07/1.17 %
% 4.07/1.17
% 4.07/1.17 % ------ Proving...
% 4.07/1.17 %
% 4.07/1.17
% 4.07/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.17
% 4.07/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.17
% 4.07/1.17
%------------------------------------------------------------------------------