%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL822-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 02:08:29 PM UTC 2026
% Result : Unsatisfiable 2.43s 0.95s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 13 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f233,axiom,
! [X2,X0,X1] :
( ~ c_Type_Otypings(X0,X1,X2)
| c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X0),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X1,tc_Lambda_OdB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists__typings_0) ).
fof(f257,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f258,negated_conjecture,
~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_467,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(X0),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),X1,tc_Lambda_OdB)
| ~ c_Type_Otypings(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_488,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____),
inference(cnf_transformation,[],[f257]) ).
tcf(c_489,negated_conjecture,
~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
inference(cnf_transformation,[],[f258]) ).
tcf(c_9771,plain,
( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB)
| ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____) ),
inference(instantiation,[status(thm)],[c_467]) ).
tcf(c_9772,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9771,c_489,c_488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL822-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Thu Sep 24 00:32:36 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.31 Running first-order theorem proving
% 0.02/0.31 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
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 2.43/0.95 % SZS status Started for theBenchmark.p
% 2.43/0.95 % SZS status Unsatisfiable for theBenchmark.p
% 2.43/0.95
% 2.43/0.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.43/0.95
% 2.43/0.95 % ------ iProver source info
% 2.43/0.95
% 2.43/0.95 % git: date: 2026-07-19 20:42:38 +0200
% 2.43/0.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.43/0.95 % git: non_committed_changes: false
% 2.43/0.95
% 2.43/0.95 % ------ Parsing...% successful
% 2.43/0.95
% 2.43/0.95
% 2.43/0.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.43/0.95
% 2.43/0.95 % ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 2.43/0.95
% 2.43/0.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.43/0.95
% 2.43/0.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.43/0.95 % ------ Proving...
% 2.43/0.95 % ------ Problem Properties
% 2.43/0.95
% 2.43/0.95 %
% 2.43/0.95 % clauses 188
% 2.43/0.95 % conjectures 1
% 2.43/0.95 % EPR 19
% 2.43/0.95 % Horn 184
% 2.43/0.95 % unary 62
% 2.43/0.95 % binary 97
% 2.43/0.95 % lits 353
% 2.43/0.95 % lits eq 105
% 2.43/0.95 % fd_pure 0
% 2.43/0.95 % fd_pseudo 0
% 2.43/0.95 % fd_cond 3
% 2.43/0.95 % fd_pseudo_cond 27
% 2.43/0.95 % AC symbols 0
% 2.43/0.95
% 2.43/0.95 % ------ Schedule dynamic 5 is on
% 2.43/0.95
% 2.43/0.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.43/0.95
% 2.43/0.95
% 2.43/0.95 % ------
% 2.43/0.95 % Current options:
% 2.43/0.95 % ------
% 2.43/0.95
% 2.43/0.95
% 2.43/0.95 %
% 2.43/0.95
% 2.43/0.95 % ------ Proving...
% 2.43/0.95 %
% 2.43/0.95
% 2.43/0.95 % SZS status Unsatisfiable for theBenchmark.p
% 2.43/0.95
% 2.43/0.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/0.95
% 2.43/0.95
%------------------------------------------------------------------------------