%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL851-1 : 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 : n019.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 4.40s 6.30s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 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 : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1083,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Type_Otyping(X0,X3,X4)
| c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).
fof(f1087,axiom,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_I3_J_0) ).
fof(f1088,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),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_conjecture_0) ).
tcf(c_1731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2)
| ~ c_Type_Otyping(X0,X1,X2) ),
inference(cnf_transformation,[],[f1083]) ).
tcf(c_1735,plain,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(cnf_transformation,[],[f1087]) ).
tcf(c_1736,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),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,[],[f1088]) ).
tcf(c_1910,plain,
~ c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(superposition,[status(thm)],[c_1731,c_1736]) ).
tcf(c_1911,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1735,c_1910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n019.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 00:36:25 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.40/6.30 % SZS status Started for theBenchmark.p
% 4.40/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.40/6.30
% 4.40/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.40/6.30
% 4.40/6.30 % ------ iProver source info
% 4.40/6.30
% 4.40/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.40/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.40/6.30 % git: non_committed_changes: false
% 4.40/6.30
% 4.40/6.30 % ------ Parsing...% successful
% 4.40/6.30
% 4.40/6.30
% 4.40/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.40/6.30 % ------ Proving...
% 4.40/6.30 % ------ Problem Properties
% 4.40/6.30
% 4.40/6.30 %
% 4.40/6.30 % clauses 782
% 4.40/6.30 % conjectures 1
% 4.40/6.30 % EPR 99
% 4.40/6.30 % Horn 691
% 4.40/6.30 % unary 185
% 4.40/6.30 % binary 305
% 4.40/6.30 % lits 1811
% 4.40/6.30 % lits eq 468
% 4.40/6.30 % fd_pure 0
% 4.40/6.30 % fd_pseudo 0
% 4.40/6.30 % fd_cond 24
% 4.40/6.30 % fd_pseudo_cond 73
% 4.40/6.30 % AC symbols 0
% 4.40/6.30
% 4.40/6.30 % ------ Input Options Time Limit: Unbounded
% 4.40/6.30
% 4.40/6.30
% 4.40/6.30 % ------
% 4.40/6.30 % Current options:
% 4.40/6.30 % ------
% 4.40/6.30
% 4.40/6.30
% 4.40/6.30 %
% 4.40/6.30
% 4.40/6.30 % ------ Proving...
% 4.40/6.30 %
% 4.40/6.30
% 4.40/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.40/6.30
% 4.40/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.40/6.30
% 4.40/6.30
%------------------------------------------------------------------------------