%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL437-2 : 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 : n020.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 02:06:38 PM UTC 2026
% Result : Unsatisfiable 1.41s 1.19s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 15 unt; 6 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Opl_Ofalse,X1),X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_ODN_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
tcf(c_52,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Opl_Ofalse,X1),X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,definition,
iPr_def_10 = c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_66,definition,
iPr_def_11 = c_PropLog_Opl_Oop_A_N_62(iPr_def_10,c_PropLog_Opl_Ofalse,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_67,definition,
iPr_def_12 = c_PropLog_Opl_Oop_A_N_62(iPr_def_11,v_pa,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_68,definition,
iPr_def_13 = c_PropLog_Opl_Oop_A_N_62(v_p,iPr_def_12,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_69,definition,
iPr_def_14 = c_PropLog_Othms(v_H,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_70,definition,
iPr_def_15 = tc_PropLog_Opl(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_71,negated_conjecture,
~ c_in(iPr_def_13,iPr_def_14,iPr_def_15),
inference(demodulation,[status(thm)],[c_52,c_70,c_69,c_65,c_66,c_67,c_68]) ).
tcf(c_198,plain,
! [X0: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(iPr_def_10,c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),c_PropLog_Othms(X0,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_65,c_53]) ).
tcf(c_203,plain,
! [X0: $i] : c_in(iPr_def_12,c_PropLog_Othms(X0,t_a),iPr_def_15),
inference(light_normalisation,[status(thm)],[c_198,c_66,c_67,c_70]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_14,tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_69,c_54]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_14,iPr_def_15)
| ~ c_in(X0,iPr_def_14,iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_219,c_69,c_70]) ).
tcf(c_242,plain,
c_in(iPr_def_12,iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_69,c_203]) ).
tcf(c_251,plain,
( c_in(iPr_def_13,iPr_def_14,iPr_def_15)
| ~ c_in(iPr_def_12,iPr_def_14,iPr_def_15) ),
inference(superposition,[status(thm)],[c_68,c_231]) ).
tcf(c_252,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_251,c_71,c_242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL437-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 23:23:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.41/1.19 % SZS status Started for theBenchmark.p
% 1.41/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.41/1.19
% 1.41/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.41/1.19
% 1.41/1.19 % ------ iProver source info
% 1.41/1.19
% 1.41/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.41/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.41/1.19 % git: non_committed_changes: false
% 1.41/1.19
% 1.41/1.19 % ------ Parsing...% successful
% 1.41/1.19
% 1.41/1.19
% 1.41/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.41/1.19
% 1.41/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.41/1.19
% 1.41/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.41/1.19
% 1.41/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.41/1.19 % ------ Proving...
% 1.41/1.19 % ------ Problem Properties
% 1.41/1.19
% 1.41/1.19 %
% 1.41/1.19 % clauses 9
% 1.41/1.19 % conjectures 1
% 1.41/1.19 % EPR 1
% 1.41/1.19 % Horn 9
% 1.41/1.19 % unary 8
% 1.41/1.19 % binary 1
% 1.41/1.19 % lits 10
% 1.41/1.19 % lits eq 6
% 1.41/1.19 % fd_pure 0
% 1.41/1.19 % fd_pseudo 0
% 1.41/1.19 % fd_cond 0
% 1.41/1.19 % fd_pseudo_cond 0
% 1.41/1.19 % AC symbols 0
% 1.41/1.19
% 1.41/1.19 % ------ Schedule dynamic 5 is on
% 1.41/1.19
% 1.41/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.41/1.19
% 1.41/1.19
% 1.41/1.19 % ------
% 1.41/1.19 % Current options:
% 1.41/1.19 % ------
% 1.41/1.19
% 1.41/1.19
% 1.41/1.19 %
% 1.41/1.19
% 1.41/1.19 % ------ Proving...
% 1.41/1.19 %
% 1.41/1.19
% 1.41/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.41/1.19
% 1.41/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.41/1.19
% 1.41/1.19
%------------------------------------------------------------------------------