%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL814-1 : 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 : n018.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 02:08:28 PM UTC 2026
% Result : Unsatisfiable 1.31s 1.73s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 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 : 16 ( 16 usr; 11 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f744,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_True_0) ).
fof(f745,plain,
v_i____ = v_n____,
inference(reorient_equations,[],[f744]) ).
fof(f763,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Type_Otyping(X0,X1,X5)
| ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4)
| c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_substs__lemma_0) ).
fof(f777,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f778,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f779,negated_conjecture,
~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f895,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
inference(definition_unfolding,[],[f777,f745]) ).
fof(f896,plain,
~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(definition_unfolding,[],[f779,f745]) ).
tcf(c_1343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X5),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otyping(X0,X5,X2)
| ~ c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4) ),
inference(cnf_transformation,[],[f763]) ).
tcf(c_1354,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
inference(cnf_transformation,[],[f895]) ).
tcf(c_1355,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnf_transformation,[],[f778]) ).
tcf(c_1356,negated_conjecture,
~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(cnf_transformation,[],[f896]) ).
tcf(c_8013,plain,
! [X0: $i] :
( c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____)
| ~ c_Type_Otyping(v_e____,v_u____,X0)
| ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,X0,tc_Type_Otype),v_as____,v_Ts____) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_8018,plain,
( c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____)
| ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
inference(instantiation,[status(thm)],[c_8013]) ).
tcf(c_8019,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8018,c_1356,c_1354,c_1355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL814-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 00:34:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.31/1.73 % SZS status Started for theBenchmark.p
% 1.31/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.73
% 1.31/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.31/1.73
% 1.31/1.73 % ------ iProver source info
% 1.31/1.73
% 1.31/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 1.31/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.31/1.73 % git: non_committed_changes: false
% 1.31/1.73
% 1.31/1.73 % ------ Parsing...% successful
% 1.31/1.73
% 1.31/1.73
% 1.31/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.31/1.73
% 1.31/1.73 % ------ Preprocessing... sup_sim: 4 pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 3 pe_s pe_e %
% 1.31/1.73
% 1.31/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 7 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 1.31/1.73
% 1.31/1.73 % ------ Preprocessing...
% 1.31/1.73 % ------ Proving...
% 1.31/1.73 % ------ Problem Properties
% 1.31/1.73
% 1.31/1.73 %
% 1.31/1.73 % clauses 627
% 1.31/1.73 % conjectures 1
% 1.31/1.73 % EPR 42
% 1.31/1.73 % Horn 499
% 1.31/1.73 % unary 216
% 1.31/1.73 % binary 312
% 1.31/1.73 % lits 1163
% 1.31/1.73 % lits eq 498
% 1.31/1.73 % fd_pure 0
% 1.31/1.73 % fd_pseudo 0
% 1.31/1.73 % fd_cond 18
% 1.31/1.73 % fd_pseudo_cond 71
% 1.31/1.73 % AC symbols 0
% 1.31/1.73
% 1.31/1.73 % ------ Input Options Time Limit: Unbounded
% 1.31/1.73
% 1.31/1.73
% 1.31/1.73 % ------
% 1.31/1.73 % Current options:
% 1.31/1.73 % ------
% 1.31/1.73
% 1.31/1.73
% 1.31/1.73 %
% 1.31/1.73
% 1.31/1.73 % ------ Proving...
% 1.31/1.73 %
% 1.31/1.73
% 1.31/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.73
% 1.31/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/1.73
% 1.31/1.73
%------------------------------------------------------------------------------