%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL809-1 : 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 : n006.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 02:08:27 PM UTC 2026
% Result : Unsatisfiable 6.98s 1.74s
% Output : CNFRefutation 6.98s
% 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 : 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; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1461,axiom,
! [X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__IT_0) ).
fof(f1464,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1465,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1990,plain,
! [X0: $i,X1: $i] :
( c_InductTermi_OIT(c_Lambda_Olift(X0,X1))
| ~ c_InductTermi_OIT(X0) ),
inference(cnf_transformation,[],[f1461]) ).
tcf(c_1993,plain,
c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
inference(cnf_transformation,[],[f1464]) ).
tcf(c_1994,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[],[f1465]) ).
tcf(c_2138,plain,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
inference(superposition,[status(thm)],[c_1990,c_1994]) ).
tcf(c_2139,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1993,c_2138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL809-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 00:31:26 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 6.98/1.74 % SZS status Started for theBenchmark.p
% 6.98/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.98/1.74
% 6.98/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.98/1.74
% 6.98/1.74 % ------ iProver source info
% 6.98/1.74
% 6.98/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 6.98/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.98/1.74 % git: non_committed_changes: false
% 6.98/1.74
% 6.98/1.74 % ------ Parsing...% successful
% 6.98/1.74
% 6.98/1.74
% 6.98/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.98/1.74 % ------ Proving...
% 6.98/1.74 % ------ Problem Properties
% 6.98/1.74
% 6.98/1.74 %
% 6.98/1.74 % clauses 743
% 6.98/1.74 % conjectures 1
% 6.98/1.74 % EPR 98
% 6.98/1.74 % Horn 673
% 6.98/1.74 % unary 166
% 6.98/1.74 % binary 286
% 6.98/1.74 % lits 1768
% 6.98/1.74 % lits eq 440
% 6.98/1.74 % fd_pure 0
% 6.98/1.74 % fd_pseudo 0
% 6.98/1.74 % fd_cond 27
% 6.98/1.74 % fd_pseudo_cond 65
% 6.98/1.74 % AC symbols 0
% 6.98/1.74
% 6.98/1.74 % ------ Input Options Time Limit: Unbounded
% 6.98/1.74
% 6.98/1.74
% 6.98/1.74 % ------
% 6.98/1.74 % Current options:
% 6.98/1.74 % ------
% 6.98/1.74
% 6.98/1.74
% 6.98/1.74 %
% 6.98/1.74
% 6.98/1.74 % ------ Proving...
% 6.98/1.74 %
% 6.98/1.74
% 6.98/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.98/1.74
% 6.98/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.98/1.74
% 6.98/1.74
%------------------------------------------------------------------------------