%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL796-1 : 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 : n002.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 02:08:24 PM UTC 2026
% Result : Unsatisfiable 4.31s 1.28s
% Output : CNFRefutation 4.31s
% 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 : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1165,axiom,
! [X2,X3,X0,X1] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f1167,axiom,
! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f1168,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1065,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____),
inference(cnf_transformation,[],[f1168]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
inference(cnf_transformation,[],[f1165]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
inference(cnf_transformation,[],[f1167]) ).
tcf(c_12376,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_1120,c_1123]) ).
tcf(c_12377,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1065,c_12376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 00:33:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 4.31/1.28 % SZS status Started for theBenchmark.p
% 4.31/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.31/1.28
% 4.31/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.31/1.28
% 4.31/1.28 % ------ iProver source info
% 4.31/1.28
% 4.31/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.31/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.31/1.28 % git: non_committed_changes: false
% 4.31/1.28
% 4.31/1.28 % ------ Parsing...% successful
% 4.31/1.28
% 4.31/1.28
% 4.31/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.31/1.28
% 4.31/1.28 % ------ Preprocessing... sup_sim: 15 sf_s rm: 11 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 4.31/1.28
% 4.31/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.31/1.28
% 4.31/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.31/1.28 % ------ Proving...
% 4.31/1.28 % ------ Problem Properties
% 4.31/1.28
% 4.31/1.28 %
% 4.31/1.28 % clauses 227
% 4.31/1.28 % conjectures 1
% 4.31/1.28 % EPR 9
% 4.31/1.28 % Horn 191
% 4.31/1.28 % unary 67
% 4.31/1.28 % binary 107
% 4.31/1.28 % lits 442
% 4.31/1.28 % lits eq 155
% 4.31/1.28 % fd_pure 0
% 4.31/1.28 % fd_pseudo 0
% 4.31/1.28 % fd_cond 13
% 4.31/1.28 % fd_pseudo_cond 31
% 4.31/1.28 % AC symbols 0
% 4.31/1.28
% 4.31/1.28 % ------ Schedule dynamic 5 is on
% 4.31/1.28
% 4.31/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.31/1.28
% 4.31/1.28
% 4.31/1.28 % ------
% 4.31/1.28 % Current options:
% 4.31/1.28 % ------
% 4.31/1.28
% 4.31/1.28
% 4.31/1.28 %
% 4.31/1.28
% 4.31/1.28 % ------ Proving...
% 4.31/1.28 %
% 4.31/1.28
% 4.31/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.31/1.28
% 4.31/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.31/1.28
% 4.31/1.28
%------------------------------------------------------------------------------