%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL748-1 : 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 02:08:16 PM UTC 2026
% Result : Unsatisfiable 3.97s 1.44s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f420,axiom,
! [X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I3_J_0) ).
fof(f430,axiom,
! [X0] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).
fof(f435,negated_conjecture,
! [X0] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f436,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] : c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) = c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1),
inference(cnf_transformation,[],[f420]) ).
tcf(c_680,plain,
! [X0: $i] :
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))
| ~ c_InductTermi_OIT(X0) ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_685,negated_conjecture,
! [X0: $i] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)),
inference(cnf_transformation,[],[f435]) ).
tcf(c_686,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
inference(cnf_transformation,[],[f436]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] :
( c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1))
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ),
inference(superposition,[status(thm)],[c_673,c_680]) ).
tcf(c_873,plain,
! [X0: $i] : c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),X0)),
inference(superposition,[status(thm)],[c_685,c_789]) ).
tcf(c_875,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_686,c_873]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/0.45 % Computer : n001.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Thu Sep 24 00:31:06 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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
% 0.27/0.52
% 0.27/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.27/0.52
% 0.27/0.52 % Detected problem language: tptp
% 0.27/0.54 % Proving...
% 3.97/1.44 % SZS status Started for theBenchmark.p
% 3.97/1.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.44
% 3.97/1.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.97/1.44
% 3.97/1.44 % ------ iProver source info
% 3.97/1.44
% 3.97/1.44 % git: date: 2026-07-19 20:42:38 +0200
% 3.97/1.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.97/1.44 % git: non_committed_changes: false
% 3.97/1.44
% 3.97/1.44 % ------ Parsing...% successful
% 3.97/1.44
% 3.97/1.44
% 3.97/1.44 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.97/1.44 % ------ Proving...
% 3.97/1.44 % ------ Problem Properties
% 3.97/1.44
% 3.97/1.44 %
% 3.97/1.44 % clauses 293
% 3.97/1.44 % conjectures 3
% 3.97/1.44 % EPR 43
% 3.97/1.44 % Horn 261
% 3.97/1.44 % unary 101
% 3.97/1.44 % binary 129
% 3.97/1.44 % lits 570
% 3.97/1.44 % lits eq 215
% 3.97/1.44 % fd_pure 0
% 3.97/1.44 % fd_pseudo 0
% 3.97/1.44 % fd_cond 15
% 3.97/1.44 % fd_pseudo_cond 28
% 3.97/1.44 % AC symbols 0
% 3.97/1.44
% 3.97/1.44 % ------ Input Options Time Limit: Unbounded
% 3.97/1.44
% 3.97/1.44
% 3.97/1.44 % ------
% 3.97/1.44 % Current options:
% 3.97/1.44 % ------
% 3.97/1.44
% 3.97/1.44
% 3.97/1.44 %
% 3.97/1.44
% 3.97/1.44 % ------ Proving...
% 3.97/1.44 %
% 3.97/1.44
% 3.97/1.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.44
% 3.97/1.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/1.44
% 3.97/1.44
%------------------------------------------------------------------------------