%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL445-2 : 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 : 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 02:06:40 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.28s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 22 unt; 7 def)
% Number of atoms : 144 ( 7 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 10 ( 8 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,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_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
fof(f5,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(f6,axiom,
! [X2,X3,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),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,X2),X1,X2),X1,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle_0) ).
tcf(c_55,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,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,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),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,X2),X1,X2),X1,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,definition,
iPr_def_10 = c_PropLog_Othms(v_H,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_82,definition,
iPr_def_11 = tc_PropLog_Opl(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_83,definition,
iPr_def_12 = c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_84,definition,
iPr_def_13 = c_insert(iPr_def_12,v_H,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_85,definition,
iPr_def_14 = c_PropLog_Othms(iPr_def_13,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_86,definition,
iPr_def_15 = c_insert(v_p,v_H,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_87,definition,
iPr_def_16 = c_PropLog_Othms(iPr_def_15,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_88,negated_conjecture,
~ c_in(v_q,iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_57,c_82,c_81]) ).
tcf(c_89,negated_conjecture,
c_in(v_q,iPr_def_14,iPr_def_11),
inference(demodulation,[status(thm)],[c_56,c_83,c_84,c_85]) ).
tcf(c_90,negated_conjecture,
c_in(v_q,iPr_def_16,iPr_def_11),
inference(demodulation,[status(thm)],[c_55,c_86,c_87]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,iPr_def_11),t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_82,c_58]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),c_PropLog_Othms(X2,t_a),iPr_def_11)
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,iPr_def_11),t_a),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_261,c_82]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),X0,t_a),t_a),c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_83,c_60]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),X0,t_a),t_a),c_PropLog_Othms(X1,t_a),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_268,c_82]) ).
tcf(c_294,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_10,tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_81,c_59]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i] :
( c_in(X1,iPr_def_10,iPr_def_11)
| ~ c_in(X0,iPr_def_10,iPr_def_11)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_294,c_81,c_82]) ).
tcf(c_412,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),c_PropLog_Othms(v_H,t_a),iPr_def_11)
| ~ c_in(X0,c_PropLog_Othms(iPr_def_13,t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_84,c_263]) ).
tcf(c_413,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(v_H,t_a),iPr_def_11)
| ~ c_in(X0,c_PropLog_Othms(iPr_def_15,t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_86,c_263]) ).
tcf(c_414,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),iPr_def_10,iPr_def_11)
| ~ c_in(X0,iPr_def_16,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_413,c_81,c_87]) ).
tcf(c_417,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),iPr_def_10,iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_412,c_81,c_85]) ).
tcf(c_456,plain,
! [X0: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),X0,t_a),t_a),iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_81,c_275]) ).
tcf(c_507,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),X0,t_a),iPr_def_10,iPr_def_11)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_456,c_310]) ).
tcf(c_588,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,iPr_def_11)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),iPr_def_10,iPr_def_11)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_507,c_310]) ).
tcf(c_636,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,iPr_def_11)
| ~ c_in(X0,iPr_def_16,iPr_def_11)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_12,X0,t_a),iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_414,c_588]) ).
tcf(c_650,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,iPr_def_11)
| ~ c_in(X0,iPr_def_16,iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11) ),
inference(superposition,[status(thm)],[c_417,c_636]) ).
tcf(c_664,plain,
( c_in(v_q,iPr_def_10,iPr_def_11)
| ~ c_in(v_q,iPr_def_14,iPr_def_11) ),
inference(superposition,[status(thm)],[c_90,c_650]) ).
tcf(c_671,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_664,c_88,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL445-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 23:25:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.69/1.28 % SZS status Started for theBenchmark.p
% 1.69/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.28
% 1.69/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.28
% 1.69/1.28 % ------ iProver source info
% 1.69/1.28
% 1.69/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.28 % git: non_committed_changes: false
% 1.69/1.28
% 1.69/1.28 % ------ Parsing...% successful
% 1.69/1.28
% 1.69/1.28
% 1.69/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.28
% 1.69/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.69/1.28
% 1.69/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.28
% 1.69/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.28 % ------ Proving...
% 1.69/1.28 % ------ Problem Properties
% 1.69/1.28
% 1.69/1.28 %
% 1.69/1.28 % clauses 13
% 1.69/1.28 % conjectures 3
% 1.69/1.28 % EPR 3
% 1.69/1.28 % Horn 13
% 1.69/1.28 % unary 11
% 1.69/1.28 % binary 1
% 1.69/1.28 % lits 16
% 1.69/1.28 % lits eq 7
% 1.69/1.28 % fd_pure 0
% 1.69/1.28 % fd_pseudo 0
% 1.69/1.28 % fd_cond 0
% 1.69/1.28 % fd_pseudo_cond 0
% 1.69/1.28 % AC symbols 0
% 1.69/1.28
% 1.69/1.28 % ------ Schedule dynamic 5 is on
% 1.69/1.28
% 1.69/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.28
% 1.69/1.28
% 1.69/1.28 % ------
% 1.69/1.28 % Current options:
% 1.69/1.28 % ------
% 1.69/1.28
% 1.69/1.28
% 1.69/1.28 %
% 1.69/1.28
% 1.69/1.28 % ------ Proving...
% 1.69/1.28 %
% 1.69/1.28
% 1.69/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.28
% 1.69/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.28
% 1.69/1.28
%------------------------------------------------------------------------------