%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL813-1 : 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 : n026.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 7.49s 1.99s
% Output : CNFRefutation 7.49s
% 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 : 11 ( 11 usr; 6 con; 0-5 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1058,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(f1060,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(f1061,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
inference(cnf_transformation,[],[f1058]) ).
tcf(c_1718,plain,
! [X0: $i,X1: $i] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
inference(cnf_transformation,[],[f1060]) ).
tcf(c_1719,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(cnf_transformation,[],[f1061]) ).
tcf(c_1860,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_1716,c_1718]) ).
tcf(c_1946,plain,
$false,
inference(superposition,[status(thm)],[c_1860,c_1719]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 00:34:54 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 7.49/1.99 % SZS status Started for theBenchmark.p
% 7.49/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 7.49/1.99
% 7.49/1.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.49/1.99
% 7.49/1.99 % ------ iProver source info
% 7.49/1.99
% 7.49/1.99 % git: date: 2026-07-19 20:42:38 +0200
% 7.49/1.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.49/1.99 % git: non_committed_changes: false
% 7.49/1.99
% 7.49/1.99 % ------ Parsing...% successful
% 7.49/1.99
% 7.49/1.99
% 7.49/1.99 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.49/1.99 % ------ Proving...
% 7.49/1.99 % ------ Problem Properties
% 7.49/1.99
% 7.49/1.99 %
% 7.49/1.99 % clauses 775
% 7.49/1.99 % conjectures 1
% 7.49/1.99 % EPR 98
% 7.49/1.99 % Horn 703
% 7.49/1.99 % unary 216
% 7.49/1.99 % binary 287
% 7.49/1.99 % lits 1745
% 7.49/1.99 % lits eq 476
% 7.49/1.99 % fd_pure 0
% 7.49/1.99 % fd_pseudo 0
% 7.49/1.99 % fd_cond 22
% 7.49/1.99 % fd_pseudo_cond 91
% 7.49/1.99 % AC symbols 0
% 7.49/1.99
% 7.49/1.99 % ------ Input Options Time Limit: Unbounded
% 7.49/1.99
% 7.49/1.99
% 7.49/1.99 % ------
% 7.49/1.99 % Current options:
% 7.49/1.99 % ------
% 7.49/1.99
% 7.49/1.99
% 7.49/1.99 %
% 7.49/1.99
% 7.49/1.99 % ------ Proving...
% 7.49/1.99 %
% 7.49/1.99
% 7.49/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 7.49/1.99
% 7.49/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.49/1.99
% 7.49/1.99
%------------------------------------------------------------------------------