%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL838-1 : 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 : n017.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 02:08:32 PM UTC 2026
% Result : Unsatisfiable 25.58s 5.80s
% Output : CNFRefutation 25.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-5 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f339,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2)
| c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__app__typeD_0) ).
fof(f510,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f511,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f512,negated_conjecture,
! [X0] :
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype))
| ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_875,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(cnf_transformation,[],[f510]) ).
tcf(c_876,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f511]) ).
tcf(c_877,negated_conjecture,
! [X0: $i] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0) ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_1443,plain,
! [X0: $i] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0) ),
inference(prop_impl_just,[status(thm)],[c_876,c_877]) ).
tcf(c_2264,plain,
! [X0: $i] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0),
inference(resolution,[status(thm)],[c_1443,c_876]) ).
tcf(c_5764,plain,
! [X0: $i,X1: $i] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X0,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X1),X0,tc_Type_Otype,tc_Type_Otype)),
inference(instantiation,[status(thm)],[c_2264]) ).
tcf(c_6050,plain,
! [X0: $i,X1: $i] :
( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X1,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0),X1,tc_Type_Otype,tc_Type_Otype))
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),X0,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_8391,plain,
( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(v_T_H____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____),v_T_H____,tc_Type_Otype,tc_Type_Otype))
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
inference(instantiation,[status(thm)],[c_6050]) ).
tcf(c_15700,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(v_T_H____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____),v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(instantiation,[status(thm)],[c_5764]) ).
tcf(c_15701,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15700,c_8391,c_875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 00:31:01 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 25.58/5.80 % SZS status Started for theBenchmark.p
% 25.58/5.80 % SZS status Unsatisfiable for theBenchmark.p
% 25.58/5.80
% 25.58/5.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.58/5.80
% 25.58/5.80 % ------ iProver source info
% 25.58/5.80
% 25.58/5.80 % git: date: 2026-07-19 20:42:38 +0200
% 25.58/5.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.58/5.80 % git: non_committed_changes: false
% 25.58/5.80
% 25.58/5.80 % ------ Parsing...% successful
% 25.58/5.80
% 25.58/5.80
% 25.58/5.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.58/5.80
% 25.58/5.80 % ------ Preprocessing... 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 sf_s rm: 17 0s sf_e pe_s pe_e %
% 25.58/5.80
% 25.58/5.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 8 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 25.58/5.80
% 25.58/5.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.58/5.80 % ------ Proving...
% 25.58/5.80 % ------ Problem Properties
% 25.58/5.80
% 25.58/5.80 %
% 25.58/5.80 % clauses 307
% 25.58/5.80 % conjectures 0
% 25.58/5.80 % EPR 16
% 25.58/5.80 % Horn 278
% 25.58/5.80 % unary 127
% 25.58/5.80 % binary 132
% 25.58/5.80 % lits 546
% 25.58/5.80 % lits eq 204
% 25.58/5.80 % fd_pure 0
% 25.58/5.80 % fd_pseudo 0
% 25.58/5.80 % fd_cond 12
% 25.58/5.80 % fd_pseudo_cond 34
% 25.58/5.80 % AC symbols 0
% 25.58/5.80
% 25.58/5.80 % ------ Input Options Time Limit: Unbounded
% 25.58/5.80
% 25.58/5.80
% 25.58/5.80 % ------
% 25.58/5.80 % Current options:
% 25.58/5.80 % ------
% 25.58/5.80
% 25.58/5.80
% 25.58/5.80 %
% 25.58/5.80
% 25.58/5.80 % ------ Proving...
% 25.58/5.80 %
% 25.58/5.80
% 25.58/5.80 % SZS status Unsatisfiable for theBenchmark.p
% 25.58/5.80
% 25.58/5.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.58/5.80
% 25.58/5.80
%------------------------------------------------------------------------------