%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL447-2 : 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 : n026.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 02:06:41 PM UTC 2026
% Result : Unsatisfiable 0.47s 1.27s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 15 unt; 3 def)
% Number of atoms : 55 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,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(f4,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) ).
tcf(c_53,negated_conjecture,
c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,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,[],[f3]) ).
tcf(c_56,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,[],[f4]) ).
tcf(c_70,definition,
iPr_def_10 = c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_71,definition,
iPr_def_11 = c_PropLog_Othms(v_H,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_72,definition,
iPr_def_12 = tc_PropLog_Opl(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_73,negated_conjecture,
~ c_in(iPr_def_10,iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_54,c_72,c_71,c_70]) ).
tcf(c_74,negated_conjecture,
c_in(v_q,iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_197,plain,
! [X0: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(v_q,iPr_def_10,t_a),c_PropLog_Othms(X0,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_70,c_55]) ).
tcf(c_200,plain,
! [X0: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(v_q,iPr_def_10,t_a),c_PropLog_Othms(X0,t_a),iPr_def_12),
inference(light_normalisation,[status(thm)],[c_197,c_72]) ).
tcf(c_205,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,iPr_def_10,t_a),iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_71,c_200]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),iPr_def_11,tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_71,c_56]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] :
( c_in(X1,iPr_def_11,iPr_def_12)
| ~ c_in(X0,iPr_def_11,iPr_def_12)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),iPr_def_11,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_213,c_71,c_72]) ).
tcf(c_239,plain,
( c_in(iPr_def_10,iPr_def_11,iPr_def_12)
| ~ c_in(v_q,iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_205,c_221]) ).
tcf(c_241,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_239,c_73,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL447-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 23:28:10 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 0.47/1.27 % SZS status Started for theBenchmark.p
% 0.47/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.27
% 0.47/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.47/1.27
% 0.47/1.27 % ------ iProver source info
% 0.47/1.27
% 0.47/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 0.47/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.47/1.27 % git: non_committed_changes: false
% 0.47/1.27
% 0.47/1.27 % ------ Parsing...% successful
% 0.47/1.27
% 0.47/1.27
% 0.47/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.47/1.27
% 0.47/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.47/1.27
% 0.47/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.47/1.27
% 0.47/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.27 % ------ Proving...
% 0.47/1.27 % ------ Problem Properties
% 0.47/1.27
% 0.47/1.27 %
% 0.47/1.27 % clauses 7
% 0.47/1.27 % conjectures 2
% 0.47/1.27 % EPR 2
% 0.47/1.27 % Horn 7
% 0.47/1.27 % unary 6
% 0.47/1.27 % binary 0
% 0.47/1.27 % lits 9
% 0.47/1.27 % lits eq 3
% 0.47/1.27 % fd_pure 0
% 0.47/1.27 % fd_pseudo 0
% 0.47/1.27 % fd_cond 0
% 0.47/1.27 % fd_pseudo_cond 0
% 0.47/1.27 % AC symbols 0
% 0.47/1.27
% 0.47/1.27 % ------ Schedule dynamic 5 is on
% 0.47/1.27
% 0.47/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.27
% 0.47/1.27
% 0.47/1.27 % ------
% 0.47/1.27 % Current options:
% 0.47/1.27 % ------
% 0.47/1.27
% 0.47/1.27
% 0.47/1.27 %
% 0.47/1.27
% 0.47/1.27 % ------ Proving...
% 0.47/1.27 %
% 0.47/1.27
% 0.47/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.27
% 0.47/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.27
% 0.47/1.27
%------------------------------------------------------------------------------