%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL439-2 : 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 : n001.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 1.70s 1.28s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f3,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,c_PropLog_Opl_Ofalse,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__notE_0) ).
fof(f4,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(f5,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f6,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,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_0) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_56,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_57,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,[],[f7]) ).
tcf(c_58,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,[],[f2]) ).
tcf(c_59,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,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(X0,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,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,[],[f4]) ).
tcf(c_91,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_58]) ).
tcf(c_92,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_61]) ).
tcf(c_96,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,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_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,c_PropLog_Othms(c_insert(X0,X2,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X0,X2,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(c_insert(X0,X2,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1)) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_125,plain,
( 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))
| ~ 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(instantiation,[status(thm)],[c_59]) ).
tcf(c_249,plain,
( 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))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(v_p,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,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_251,plain,
( c_in(v_p,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_865,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,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,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_872,plain,
c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_873,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_872,c_865,c_251,c_249,c_125,c_57,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL439-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 23:28:22 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.70/1.28 % SZS status Started for theBenchmark.p
% 1.70/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.28
% 1.70/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.70/1.28
% 1.70/1.28 % ------ iProver source info
% 1.70/1.28
% 1.70/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.70/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.70/1.28 % git: non_committed_changes: false
% 1.70/1.28
% 1.70/1.28 % ------ Parsing...% successful
% 1.70/1.28
% 1.70/1.28
% 1.70/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.70/1.28
% 1.70/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.70/1.28
% 1.70/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.70/1.28 % ------ Proving...
% 1.70/1.28 % ------ Problem Properties
% 1.70/1.28
% 1.70/1.28 %
% 1.70/1.28 % clauses 7
% 1.70/1.28 % conjectures 2
% 1.70/1.28 % EPR 0
% 1.70/1.28 % Horn 7
% 1.70/1.28 % unary 3
% 1.70/1.28 % binary 3
% 1.70/1.28 % lits 12
% 1.70/1.28 % lits eq 0
% 1.70/1.28 % fd_pure 0
% 1.70/1.28 % fd_pseudo 0
% 1.70/1.28 % fd_cond 0
% 1.70/1.28 % fd_pseudo_cond 0
% 1.70/1.28 % AC symbols 0
% 1.70/1.28
% 1.70/1.28 % ------ Schedule dynamic 5 is on
% 1.70/1.28
% 1.70/1.28 % ------ no equalities: superposition off
% 1.70/1.28
% 1.70/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.70/1.28
% 1.70/1.28
% 1.70/1.28 % ------
% 1.70/1.28 % Current options:
% 1.70/1.28 % ------
% 1.70/1.28
% 1.70/1.28
% 1.70/1.28 %
% 1.70/1.28
% 1.70/1.28 % ------ Proving...
% 1.70/1.28 %
% 1.70/1.28
% 1.70/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.28
% 1.70/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.70/1.28
% 1.70/1.28
%------------------------------------------------------------------------------