%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL773-1 : 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 : n015.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 02:08:20 PM UTC 2026
% Result : Unsatisfiable 4.40s 1.28s
% Output : CNFRefutation 4.40s
% 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 : 6 ( 3 avg)
% Maximal term depth : 3 ( 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; 3 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1281,axiom,
! [X2,X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).
fof(f1287,negated_conjecture,
c_InductTermi_OIT(v_r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1289,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
| ~ c_InductTermi_OIT(X0) ),
inference(cnf_transformation,[],[f1281]) ).
tcf(c_1797,negated_conjecture,
c_InductTermi_OIT(v_r),
inference(cnf_transformation,[],[f1287]) ).
tcf(c_1799,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[],[f1289]) ).
tcf(c_1935,plain,
~ c_InductTermi_OIT(v_r),
inference(superposition,[status(thm)],[c_1791,c_1799]) ).
tcf(c_1936,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1797,c_1935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n015.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 00:31:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.40
% 0.10/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40
% 0.10/0.40 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 4.40/1.28 % SZS status Started for theBenchmark.p
% 4.40/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.40/1.28
% 4.40/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.40/1.28
% 4.40/1.28 % ------ iProver source info
% 4.40/1.28
% 4.40/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.40/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.40/1.28 % git: non_committed_changes: false
% 4.40/1.28
% 4.40/1.28 % ------ Parsing...% successful
% 4.40/1.28
% 4.40/1.28
% 4.40/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.40/1.28 % ------ Proving...
% 4.40/1.28 % ------ Problem Properties
% 4.40/1.28
% 4.40/1.28 %
% 4.40/1.28 % clauses 683
% 4.40/1.28 % conjectures 3
% 4.40/1.28 % EPR 96
% 4.40/1.28 % Horn 617
% 4.40/1.28 % unary 158
% 4.40/1.28 % binary 244
% 4.40/1.28 % lits 1640
% 4.40/1.28 % lits eq 375
% 4.40/1.28 % fd_pure 0
% 4.40/1.28 % fd_pseudo 0
% 4.40/1.28 % fd_cond 20
% 4.40/1.28 % fd_pseudo_cond 65
% 4.40/1.28 % AC symbols 0
% 4.40/1.28
% 4.40/1.28 % ------ Input Options Time Limit: Unbounded
% 4.40/1.28
% 4.40/1.28
% 4.40/1.28 % ------
% 4.40/1.28 % Current options:
% 4.40/1.28 % ------
% 4.40/1.28
% 4.40/1.28
% 4.40/1.28 %
% 4.40/1.28
% 4.40/1.28 % ------ Proving...
% 4.40/1.28 %
% 4.40/1.28
% 4.40/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.40/1.28
% 4.40/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.40/1.28
% 4.40/1.28
%------------------------------------------------------------------------------