%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL802-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 02:08:25 PM UTC 2026
% Result : Unsatisfiable 4.07s 1.43s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 14 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f330,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/sandbox/benchmark/theBenchmark.p',cls_lists__typings_0) ).
fof(f355,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f356,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_as____,tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_378,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_as____,tc_Lambda_OdB),
inference(cnf_transformation,[],[f356]) ).
tcf(c_412,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
inference(cnf_transformation,[],[f355]) ).
tcf(c_415,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,[],[f330]) ).
tcf(c_1565,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)
| ( X2 != v_Ts____ )
| ( X1 != v_as____ )
| ( c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_415,c_412]) ).
tcf(c_1566,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_as____,tc_Lambda_OdB),
inference(unflattening,[status(thm)],[c_1565]) ).
tcf(c_1567,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1566,c_378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL802-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.51 % Computer : n010.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Thu Sep 24 00:31:28 UTC 2026
% 0.10/0.51 % CPUTime :
% 0.10/0.51 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.54 Running first-order theorem proving
% 0.10/0.54 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
% 0.10/0.55
% 0.10/0.55 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.55
% 0.10/0.56 % Detected problem language: tptp
% 0.15/0.57 % Proving...
% 4.07/1.43 % SZS status Started for theBenchmark.p
% 4.07/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.43
% 4.07/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.43
% 4.07/1.43 % ------ iProver source info
% 4.07/1.43
% 4.07/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.43 % git: non_committed_changes: false
% 4.07/1.43
% 4.07/1.43 % ------ Parsing...% successful
% 4.07/1.43
% 4.07/1.43
% 4.07/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.07/1.43
% 4.07/1.43 % ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s %
% 4.07/1.43
% 4.07/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.43
% 4.07/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.43
% 4.07/1.43
%------------------------------------------------------------------------------