%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL433-1 : 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 : n008.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 02:06:37 PM UTC 2026
% Result : Unsatisfiable 10.20s 3.80s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 37 :)
% 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/sandbox/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/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
fof(f1448,axiom,
! [X2,X3,X0,X1] :
( c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2)
| ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
fof(f1449,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(f1451,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
fof(f1454,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1455,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1456,negated_conjecture,
! [X0] :
( ~ c_PropLog_Osat(v_F,X0,t_a)
| c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_1429,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
inference(cnf_transformation,[],[f1454]) ).
tcf(c_1430,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1455]) ).
tcf(c_1431,negated_conjecture,
! [X0: $i] :
( c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X0,t_a) ),
inference(cnf_transformation,[],[f1456]) ).
tcf(c_1432,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,[],[f1451]) ).
tcf(c_1434,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,[],[f1449]) ).
tcf(c_1436,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_1449,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_1451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2)
| ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2) ),
inference(cnf_transformation,[],[f1448]) ).
tcf(c_5108,plain,
c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(superposition,[status(thm)],[c_1429,c_1451]) ).
tcf(c_5514,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_1449]) ).
tcf(c_5556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X0,c_insert(X1,X2,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)) ),
inference(instantiation,[status(thm)],[c_1436]) ).
tcf(c_5853,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_1431]) ).
tcf(c_6513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X0,X3,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(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_6692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(c_insert(X4,X3,tc_PropLog_Opl(X2)),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(instantiation,[status(thm)],[c_1432]) ).
tcf(c_11699,plain,
( c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_6513]) ).
tcf(c_11804,plain,
( c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_5556]) ).
tcf(c_11963,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_6692]) ).
tcf(c_29215,plain,
c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_5514]) ).
tcf(c_29748,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_11963]) ).
tcf(c_29749,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29748,c_29215,c_11804,c_11699,c_5853,c_5108,c_1430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 23:20:54 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 10.20/3.80 % SZS status Started for theBenchmark.p
% 10.20/3.80 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/3.80
% 10.20/3.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.20/3.80
% 10.20/3.80 % ------ iProver source info
% 10.20/3.80
% 10.20/3.80 % git: date: 2026-07-19 20:42:38 +0200
% 10.20/3.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.20/3.80 % git: non_committed_changes: false
% 10.20/3.80
% 10.20/3.80 % ------ Parsing...% successful
% 10.20/3.80
% 10.20/3.80
% 10.20/3.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.20/3.80
% 10.20/3.80 % ------ 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: 26 0s sf_e pe_s pe_e %
% 10.20/3.80
% 10.20/3.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.20/3.80
% 10.20/3.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.20/3.80 % ------ Proving...
% 10.20/3.80 % ------ Problem Properties
% 10.20/3.80
% 10.20/3.80 %
% 10.20/3.80 % clauses 41
% 10.20/3.80 % conjectures 5
% 10.20/3.80 % EPR 9
% 10.20/3.80 % Horn 38
% 10.20/3.80 % unary 17
% 10.20/3.80 % binary 18
% 10.20/3.80 % lits 71
% 10.20/3.80 % lits eq 14
% 10.20/3.80 % fd_pure 0
% 10.20/3.80 % fd_pseudo 0
% 10.20/3.80 % fd_cond 2
% 10.20/3.80 % fd_pseudo_cond 7
% 10.20/3.80 % AC symbols 0
% 10.20/3.80
% 10.20/3.80 % ------ Schedule dynamic 5 is on
% 10.20/3.80
% 10.20/3.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.20/3.80
% 10.20/3.80
% 10.20/3.80 % ------
% 10.20/3.80 % Current options:
% 10.20/3.80 % ------
% 10.20/3.80
% 10.20/3.80
% 10.20/3.80 %
% 10.20/3.80
% 10.20/3.80 % ------ Proving...
% 10.20/3.80 %
% 10.20/3.80
% 10.20/3.80 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/3.80
% 10.20/3.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.20/3.80
% 10.20/3.80
%------------------------------------------------------------------------------