%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL445-1 : 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 : n019.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 0.75s 1.41s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f1449,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) ).
fof(f1450,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(f1451,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(f1452,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) ).
tcf(c_2024,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_2025,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_2027,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,[],[f1449]) ).
tcf(c_2028,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,[],[f1450]) ).
tcf(c_2029,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,[],[f1451]) ).
tcf(c_2030,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1452]) ).
tcf(c_2159,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)),
inference(superposition,[status(thm)],[c_2028,c_2024]) ).
tcf(c_2160,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_2029,c_2024]) ).
tcf(c_2181,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(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),X1,X2),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(superposition,[status(thm)],[c_2027,c_2025]) ).
tcf(c_2318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_PropLog_Othms(X3,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X2,X1),c_PropLog_Othms(X3,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),X2,X1),c_PropLog_Othms(X3,X1),tc_PropLog_Opl(X1)) ),
inference(superposition,[status(thm)],[c_2181,c_2025]) ).
tcf(c_2839,plain,
( c_in(v_q,c_PropLog_Othms(v_H,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(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_2160,c_2318]) ).
tcf(c_2846,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2839,c_2159,c_2030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL445-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n019.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Wed Sep 23 23:24:51 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.14/0.63
% 0.14/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63
% 0.14/0.63 % Detected problem language: tptp
% 0.14/0.64 % Proving...
% 0.75/1.41 % SZS status Started for theBenchmark.p
% 0.75/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.75/1.41
% 0.75/1.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.75/1.41
% 0.75/1.41 % ------ iProver source info
% 0.75/1.41
% 0.75/1.41 % git: date: 2026-07-19 20:42:38 +0200
% 0.75/1.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.75/1.41 % git: non_committed_changes: false
% 0.75/1.41
% 0.75/1.41 % ------ Parsing...% successful
% 0.75/1.41
% 0.75/1.41
% 0.75/1.41 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.75/1.41 % ------ Proving...
% 0.75/1.41 % ------ Problem Properties
% 0.75/1.41
% 0.75/1.41 %
% 0.75/1.41 % clauses 608
% 0.75/1.41 % conjectures 3
% 0.75/1.41 % EPR 289
% 0.75/1.41 % Horn 580
% 0.75/1.41 % unary 154
% 0.75/1.41 % binary 392
% 0.75/1.41 % lits 1124
% 0.75/1.41 % lits eq 204
% 0.75/1.41 % fd_pure 0
% 0.75/1.41 % fd_pseudo 0
% 0.75/1.41 % fd_cond 28
% 0.75/1.41 % fd_pseudo_cond 41
% 0.75/1.41 % AC symbols 0
% 0.75/1.41
% 0.75/1.41 % ------ Input Options Time Limit: Unbounded
% 0.75/1.41
% 0.75/1.41
% 0.75/1.41 % ------
% 0.75/1.41 % Current options:
% 0.75/1.41 % ------
% 0.75/1.41
% 0.75/1.41
% 0.75/1.41 %
% 0.75/1.41
% 0.75/1.41 % ------ Proving...
% 0.75/1.41 %
% 0.75/1.41
% 0.75/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.75/1.41
% 0.75/1.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.75/1.41
% 0.75/1.41
%------------------------------------------------------------------------------