%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL434-1 : 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 : n014.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 2.88s 1.07s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 14 :)
% 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(f240,axiom,
! [X2,X3,X0,X1] :
( X0 = X1
| c_in(X0,X2,X3)
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).
fof(f1450,axiom,
! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f1451,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,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_Oweaken__right_0) ).
fof(f1452,negated_conjecture,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1453,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_1424,negated_conjecture,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1452]) ).
tcf(c_1425,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1453]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f1451]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
inference(cnf_transformation,[],[f1450]) ).
tcf(c_1431,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_1442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| ( X0 = X1 )
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_4945,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| ( v_pa = v_p ) ),
inference(superposition,[status(thm)],[c_1424,c_1442]) ).
tcf(c_4975,plain,
~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_1426,c_1425]) ).
tcf(c_4976,plain,
~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
inference(superposition,[status(thm)],[c_1431,c_4975]) ).
tcf(c_4977,plain,
v_pa = v_p,
inference(backward_subsumption_resolution,[status(thm)],[c_4945,c_4976]) ).
tcf(c_4979,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(demodulation,[status(thm)],[c_1425,c_4977]) ).
tcf(c_4981,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4979,c_1427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL434-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 23:21:03 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 2.88/1.07 % SZS status Started for theBenchmark.p
% 2.88/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.88/1.07
% 2.88/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.88/1.07
% 2.88/1.07 % ------ iProver source info
% 2.88/1.07
% 2.88/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 2.88/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.88/1.07 % git: non_committed_changes: false
% 2.88/1.07
% 2.88/1.07 % ------ Parsing...% successful
% 2.88/1.07
% 2.88/1.07
% 2.88/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.88/1.07
% 2.88/1.07 % ------ 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 %
% 2.88/1.07
% 2.88/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.88/1.07
% 2.88/1.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.88/1.07 % ------ Proving...
% 2.88/1.07 % ------ Problem Properties
% 2.88/1.07
% 2.88/1.07 %
% 2.88/1.07 % clauses 37
% 2.88/1.07 % conjectures 2
% 2.88/1.07 % EPR 9
% 2.88/1.07 % Horn 34
% 2.88/1.07 % unary 18
% 2.88/1.07 % binary 14
% 2.88/1.07 % lits 61
% 2.88/1.07 % lits eq 14
% 2.88/1.07 % fd_pure 0
% 2.88/1.07 % fd_pseudo 0
% 2.88/1.07 % fd_cond 2
% 2.88/1.07 % fd_pseudo_cond 7
% 2.88/1.07 % AC symbols 0
% 2.88/1.07
% 2.88/1.07 % ------ Schedule dynamic 5 is on
% 2.88/1.07
% 2.88/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.88/1.07
% 2.88/1.07
% 2.88/1.07 % ------
% 2.88/1.07 % Current options:
% 2.88/1.07 % ------
% 2.88/1.07
% 2.88/1.07
% 2.88/1.07 %
% 2.88/1.07
% 2.88/1.07 % ------ Proving...
% 2.88/1.07 %
% 2.88/1.07
% 2.88/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.88/1.07
% 2.88/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.88/1.07
% 2.88/1.07
%------------------------------------------------------------------------------