%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL852-1 : 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 : n016.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 02:08:34 PM UTC 2026
% Result : Unsatisfiable 4.46s 1.32s
% Output : CNFRefutation 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f674,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
| ~ c_Type_Otyping(X0,X2,X4)
| c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OApp_0) ).
fof(f684,axiom,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f685,axiom,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f686,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X3)
| ~ c_Type_Otyping(X0,X4,X2)
| ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3)) ),
inference(cnf_transformation,[],[f674]) ).
tcf(c_1149,plain,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
inference(cnf_transformation,[],[f684]) ).
tcf(c_1150,plain,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)),
inference(cnf_transformation,[],[f685]) ).
tcf(c_1151,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____),
inference(cnf_transformation,[],[f686]) ).
tcf(c_1472,plain,
! [X0: $i] :
( c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),X0),v_U____)
| ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),X0,v_Ta____) ),
inference(superposition,[status(thm)],[c_1150,c_1139]) ).
tcf(c_2081,plain,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
inference(superposition,[status(thm)],[c_1472,c_1151]) ).
tcf(c_2082,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1149,c_2081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 00:40:58 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 4.46/1.32 % SZS status Started for theBenchmark.p
% 4.46/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.46/1.32
% 4.46/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.46/1.32
% 4.46/1.32 % ------ iProver source info
% 4.46/1.32
% 4.46/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.46/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.46/1.32 % git: non_committed_changes: false
% 4.46/1.32
% 4.46/1.32 % ------ Parsing...% successful
% 4.46/1.32
% 4.46/1.32
% 4.46/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.46/1.32 % ------ Proving...
% 4.46/1.32 % ------ Problem Properties
% 4.46/1.32
% 4.46/1.32 %
% 4.46/1.32 % clauses 524
% 4.46/1.32 % conjectures 1
% 4.46/1.32 % EPR 87
% 4.46/1.32 % Horn 464
% 4.46/1.32 % unary 149
% 4.46/1.32 % binary 196
% 4.46/1.32 % lits 1163
% 4.46/1.32 % lits eq 310
% 4.46/1.32 % fd_pure 0
% 4.46/1.32 % fd_pseudo 0
% 4.46/1.32 % fd_cond 22
% 4.46/1.32 % fd_pseudo_cond 67
% 4.46/1.32 % AC symbols 0
% 4.46/1.32
% 4.46/1.32 % ------ Input Options Time Limit: Unbounded
% 4.46/1.32
% 4.46/1.32
% 4.46/1.32 % ------
% 4.46/1.32 % Current options:
% 4.46/1.32 % ------
% 4.46/1.32
% 4.46/1.32
% 4.46/1.32 %
% 4.46/1.32
% 4.46/1.32 % ------ Proving...
% 4.46/1.32 %
% 4.46/1.32
% 4.46/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.46/1.32
% 4.46/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.46/1.32
% 4.46/1.32
%------------------------------------------------------------------------------