%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL850-1 : 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 : n001.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 3.57s 1.19s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1019,axiom,
! [X2,X3,X0,X1] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f1021,axiom,
! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f1022,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_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
inference(cnf_transformation,[],[f1019]) ).
tcf(c_1650,plain,
! [X0: $i,X1: $i] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
inference(cnf_transformation,[],[f1021]) ).
tcf(c_1651,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_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
inference(cnf_transformation,[],[f1022]) ).
tcf(c_1793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Type_Otyping(c_Type_Oshift(X0,X1,X2,X3),c_Lambda_OdB_OVar(X1),X2),
inference(superposition,[status(thm)],[c_1648,c_1650]) ).
tcf(c_1881,plain,
$false,
inference(superposition,[status(thm)],[c_1793,c_1651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL850-1 : 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 : n001.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 00:42:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.57/1.19 % SZS status Started for theBenchmark.p
% 3.57/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.19
% 3.57/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.57/1.19
% 3.57/1.19 % ------ iProver source info
% 3.57/1.19
% 3.57/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.57/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.57/1.19 % git: non_committed_changes: false
% 3.57/1.19
% 3.57/1.19 % ------ Parsing...% successful
% 3.57/1.19
% 3.57/1.19
% 3.57/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.57/1.19 % ------ Proving...
% 3.57/1.19 % ------ Problem Properties
% 3.57/1.19
% 3.57/1.19 %
% 3.57/1.19 % clauses 742
% 3.57/1.19 % conjectures 1
% 3.57/1.19 % EPR 100
% 3.57/1.19 % Horn 657
% 3.57/1.19 % unary 183
% 3.57/1.19 % binary 273
% 3.57/1.19 % lits 1724
% 3.57/1.19 % lits eq 430
% 3.57/1.19 % fd_pure 0
% 3.57/1.19 % fd_pseudo 0
% 3.57/1.19 % fd_cond 22
% 3.57/1.19 % fd_pseudo_cond 82
% 3.57/1.19 % AC symbols 0
% 3.57/1.19
% 3.57/1.19 % ------ Input Options Time Limit: Unbounded
% 3.57/1.19
% 3.57/1.19
% 3.57/1.19 % ------
% 3.57/1.19 % Current options:
% 3.57/1.19 % ------
% 3.57/1.19
% 3.57/1.19
% 3.57/1.19 %
% 3.57/1.19
% 3.57/1.19 % ------ Proving...
% 3.57/1.19 %
% 3.57/1.19
% 3.57/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.19
% 3.57/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.19
% 3.57/1.19
%------------------------------------------------------------------------------