%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL439-1 : 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 : 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 17.97s 3.64s
% Output : CNFRefutation 17.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 50 ( 0 sgn 50 !; 0 ?; 32 :)
% 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,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(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(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(f1450,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_1421,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,[],[f1449]) ).
tcf(c_1422,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,[],[f1450]) ).
tcf(c_1423,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,[],[f1447]) ).
tcf(c_1430,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_1431,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_1432,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_1447,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X4,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,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(superposition,[status(thm)],[c_1430,c_1423]) ).
tcf(c_4610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X4,c_PropLog_Othms(c_insert(X3,X2,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
| ~ c_in(X0,c_insert(X3,X2,tc_PropLog_Opl(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(superposition,[status(thm)],[c_1432,c_4090]) ).
tcf(c_35494,plain,
! [X0: $i,X1: $i] :
( c_in(X1,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_insert(X0,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_1421,c_4610]) ).
tcf(c_36507,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_insert(X0,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_35494,c_1431]) ).
tcf(c_36670,plain,
~ c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_36507,c_1422]) ).
tcf(c_36708,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_36670,c_1447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 23:23:18 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 17.97/3.64 % SZS status Started for theBenchmark.p
% 17.97/3.64 % SZS status Unsatisfiable for theBenchmark.p
% 17.97/3.64
% 17.97/3.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.97/3.64
% 17.97/3.64 % ------ iProver source info
% 17.97/3.64
% 17.97/3.64 % git: date: 2026-07-19 20:42:38 +0200
% 17.97/3.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.97/3.64 % git: non_committed_changes: false
% 17.97/3.64
% 17.97/3.64 % ------ Parsing...% successful
% 17.97/3.64
% 17.97/3.64
% 17.97/3.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.97/3.64
% 17.97/3.64 % ------ 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 %
% 17.97/3.64
% 17.97/3.64 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.97/3.64
% 17.97/3.64 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.97/3.64 % ------ Proving...
% 17.97/3.64 % ------ Problem Properties
% 17.97/3.64
% 17.97/3.64 %
% 17.97/3.64 % clauses 39
% 17.97/3.64 % conjectures 2
% 17.97/3.64 % EPR 9
% 17.97/3.64 % Horn 36
% 17.97/3.64 % unary 18
% 17.97/3.64 % binary 16
% 17.97/3.64 % lits 65
% 17.97/3.64 % lits eq 19
% 17.97/3.64 % fd_pure 0
% 17.97/3.64 % fd_pseudo 0
% 17.97/3.64 % fd_cond 2
% 17.97/3.64 % fd_pseudo_cond 8
% 17.97/3.64 % AC symbols 0
% 17.97/3.64
% 17.97/3.64 % ------ Schedule dynamic 5 is on
% 17.97/3.64
% 17.97/3.64 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.97/3.64
% 17.97/3.64
% 17.97/3.64 % ------
% 17.97/3.64 % Current options:
% 17.97/3.64 % ------
% 17.97/3.64
% 17.97/3.64
% 17.97/3.64 %
% 17.97/3.64
% 17.97/3.64 % ------ Proving...
% 17.97/3.64 %
% 17.97/3.64
% 17.97/3.64 % SZS status Unsatisfiable for theBenchmark.p
% 17.97/3.64
% 17.97/3.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.97/3.64
% 17.97/3.64
%------------------------------------------------------------------------------