%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL792-1 : 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 : n007.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 3.77s 1.29s
% Output : CNFRefutation 3.77s
% 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1454,axiom,
! [X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__IT_0) ).
fof(f1455,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f1456,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1973,plain,
! [X0: $i,X1: $i] :
( c_InductTermi_OIT(c_Lambda_Olift(X0,X1))
| ~ c_InductTermi_OIT(X0) ),
inference(cnf_transformation,[],[f1454]) ).
tcf(c_1974,plain,
c_InductTermi_OIT(v_u____),
inference(cnf_transformation,[],[f1455]) ).
tcf(c_1975,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[],[f1456]) ).
tcf(c_2096,plain,
~ c_InductTermi_OIT(v_u____),
inference(superposition,[status(thm)],[c_1973,c_1975]) ).
tcf(c_2097,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1974,c_2096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 00:28:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.77/1.29 % SZS status Started for theBenchmark.p
% 3.77/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.29
% 3.77/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.77/1.29
% 3.77/1.29 % ------ iProver source info
% 3.77/1.29
% 3.77/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.77/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.77/1.29 % git: non_committed_changes: false
% 3.77/1.29
% 3.77/1.29 % ------ Parsing...% successful
% 3.77/1.29
% 3.77/1.29
% 3.77/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.77/1.29 % ------ Proving...
% 3.77/1.29 % ------ Problem Properties
% 3.77/1.29
% 3.77/1.29 %
% 3.77/1.29 % clauses 734
% 3.77/1.29 % conjectures 1
% 3.77/1.29 % EPR 98
% 3.77/1.29 % Horn 661
% 3.77/1.29 % unary 151
% 3.77/1.29 % binary 277
% 3.77/1.29 % lits 1786
% 3.77/1.29 % lits eq 430
% 3.77/1.29 % fd_pure 0
% 3.77/1.29 % fd_pseudo 0
% 3.77/1.29 % fd_cond 20
% 3.77/1.29 % fd_pseudo_cond 71
% 3.77/1.29 % AC symbols 0
% 3.77/1.29
% 3.77/1.29 % ------ Input Options Time Limit: Unbounded
% 3.77/1.29
% 3.77/1.29
% 3.77/1.29 % ------
% 3.77/1.29 % Current options:
% 3.77/1.29 % ------
% 3.77/1.29
% 3.77/1.29
% 3.77/1.29 %
% 3.77/1.29
% 3.77/1.29 % ------ Proving...
% 3.77/1.29 %
% 3.77/1.29
% 3.77/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.29
% 3.77/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.29
% 3.77/1.29
%------------------------------------------------------------------------------