%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL793-1 : 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 02:08:24 PM UTC 2026
% Result : Unsatisfiable 3.28s 1.18s
% Output : CNFRefutation 3.28s
% 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 : 5 ( 2 avg)
% Maximal term depth : 4 ( 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; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1287,axiom,
! [X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_app__Var__IT_0) ).
fof(f1289,axiom,
c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1290,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1154,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(cnf_transformation,[],[f1290]) ).
tcf(c_1275,plain,
c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[],[f1289]) ).
tcf(c_1277,plain,
! [X0: $i,X1: $i] :
( c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))
| ~ c_InductTermi_OIT(X0) ),
inference(cnf_transformation,[],[f1287]) ).
tcf(c_11424,plain,
~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(superposition,[status(thm)],[c_1277,c_1154]) ).
tcf(c_11425,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11424,c_1275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL793-1 : 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 00:35:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.28/1.18 % SZS status Started for theBenchmark.p
% 3.28/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.18
% 3.28/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.28/1.18
% 3.28/1.18 % ------ iProver source info
% 3.28/1.18
% 3.28/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.28/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.28/1.18 % git: non_committed_changes: false
% 3.28/1.18
% 3.28/1.18 % ------ Parsing...% successful
% 3.28/1.18
% 3.28/1.18
% 3.28/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.28/1.18
% 3.28/1.18 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.28/1.18
% 3.28/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.28/1.18
% 3.28/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.28/1.18 % ------ Proving...
% 3.28/1.18 % ------ Problem Properties
% 3.28/1.18
% 3.28/1.18 %
% 3.28/1.18 % clauses 213
% 3.28/1.18 % conjectures 1
% 3.28/1.18 % EPR 8
% 3.28/1.18 % Horn 177
% 3.28/1.18 % unary 66
% 3.28/1.18 % binary 97
% 3.28/1.18 % lits 412
% 3.28/1.18 % lits eq 134
% 3.28/1.18 % fd_pure 0
% 3.28/1.18 % fd_pseudo 0
% 3.28/1.18 % fd_cond 13
% 3.28/1.18 % fd_pseudo_cond 21
% 3.28/1.18 % AC symbols 0
% 3.28/1.18
% 3.28/1.18 % ------ Schedule dynamic 5 is on
% 3.28/1.18
% 3.28/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/1.18
% 3.28/1.18
% 3.28/1.18 % ------
% 3.28/1.18 % Current options:
% 3.28/1.18 % ------
% 3.28/1.18
% 3.28/1.18
% 3.28/1.18 %
% 3.28/1.18
% 3.28/1.18 % ------ Proving...
% 3.28/1.18 %
% 3.28/1.18
% 3.28/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.18
% 3.28/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.18
% 3.28/1.18
%------------------------------------------------------------------------------