%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL443-1 : 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 : n012.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 15.04s 3.00s
% Output : CNFRefutation 15.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 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 : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
fof(f1446,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f1448,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),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__left__insert_0) ).
fof(f1449,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1450,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1451,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1422,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1449]) ).
tcf(c_1423,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1450]) ).
tcf(c_1424,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1451]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f1448]) ).
tcf(c_1426,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_1427,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,[],[f1446]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_1446,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_4377,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_insert(X0,X1,tc_PropLog_Opl(X2)),tc_PropLog_Opl(X2)) ),
inference(instantiation,[status(thm)],[c_1428]) ).
tcf(c_4378,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,tc_PropLog_Opl(X2)),tc_PropLog_Opl(X2)),
inference(instantiation,[status(thm)],[c_1446]) ).
tcf(c_4506,plain,
! [X0: $i] :
( c_in(v_p,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_1425]) ).
tcf(c_4508,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_1425]) ).
tcf(c_4559,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_1427]) ).
tcf(c_5201,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_6688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X1,c_PropLog_Othms(c_insert(X3,X4,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X3,X4,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(c_insert(X3,X4,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_8636,plain,
! [X0: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_5201]) ).
tcf(c_8637,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_4377]) ).
tcf(c_12770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),X3,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),
inference(instantiation,[status(thm)],[c_4378]) ).
tcf(c_16363,plain,
! [X0: $i,X1: $i] :
( c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_4506]) ).
tcf(c_18582,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_6688]) ).
tcf(c_24128,plain,
( c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_16363]) ).
tcf(c_24147,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_4508]) ).
tcf(c_33926,plain,
! [X0: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_12770]) ).
tcf(c_39851,plain,
( c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_8636]) ).
tcf(c_39852,plain,
( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_18582]) ).
tcf(c_42877,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_8637]) ).
tcf(c_57235,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_33926]) ).
tcf(c_57236,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_57235,c_42877,c_39852,c_39851,c_24147,c_24128,c_4559,c_1424,c_1423,c_1422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL443-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 23:23:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 15.04/3.00 % SZS status Started for theBenchmark.p
% 15.04/3.00 % SZS status Unsatisfiable for theBenchmark.p
% 15.04/3.00
% 15.04/3.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.04/3.00
% 15.04/3.00 % ------ iProver source info
% 15.04/3.00
% 15.04/3.00 % git: date: 2026-07-19 20:42:38 +0200
% 15.04/3.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.04/3.00 % git: non_committed_changes: false
% 15.04/3.00
% 15.04/3.00 % ------ Parsing...% successful
% 15.04/3.00
% 15.04/3.00
% 15.04/3.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.04/3.00
% 15.04/3.00 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e %
% 15.04/3.00
% 15.04/3.00 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.04/3.00
% 15.04/3.00 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.04/3.00 % ------ Proving...
% 15.04/3.00 % ------ Problem Properties
% 15.04/3.00
% 15.04/3.00 %
% 15.04/3.00 % clauses 40
% 15.04/3.00 % conjectures 3
% 15.04/3.00 % EPR 9
% 15.04/3.00 % Horn 37
% 15.04/3.00 % unary 19
% 15.04/3.00 % binary 16
% 15.04/3.00 % lits 66
% 15.04/3.00 % lits eq 19
% 15.04/3.00 % fd_pure 0
% 15.04/3.00 % fd_pseudo 0
% 15.04/3.00 % fd_cond 2
% 15.04/3.00 % fd_pseudo_cond 8
% 15.04/3.00 % AC symbols 0
% 15.04/3.00
% 15.04/3.00 % ------ Schedule dynamic 5 is on
% 15.04/3.00
% 15.04/3.00 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.04/3.00
% 15.04/3.00
% 15.04/3.00 % ------
% 15.04/3.00 % Current options:
% 15.04/3.00 % ------
% 15.04/3.00
% 15.04/3.00
% 15.04/3.00 %
% 15.04/3.00
% 15.04/3.00 % ------ Proving...
% 15.04/3.00 %
% 15.04/3.00
% 15.04/3.00 % SZS status Unsatisfiable for theBenchmark.p
% 15.04/3.00
% 15.04/3.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.04/3.00
% 15.04/3.00
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