%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL805-1 : 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 : n016.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 02:08:26 PM UTC 2026
% Result : Unsatisfiable 5.14s 1.78s
% Output : CNFRefutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1041,axiom,
! [X0,X1] : c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
fof(f1043,axiom,
! [X2,X0,X1] : c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__is__Nil__conv_1) ).
fof(f1044,plain,
! [X2,X0,X1] : c_List_Olist_ONil(X2) = c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2),
inference(reorient_equations,[],[f1043]) ).
fof(f1048,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1797,plain,
! [X0: $i,X1: $i] : c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
inference(cnf_transformation,[],[f1041]) ).
tcf(c_1799,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2) = c_List_Olist_ONil(X2),
inference(cnf_transformation,[],[f1044]) ).
tcf(c_1803,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[],[f1048]) ).
tcf(c_10104,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(demodulation,[status(thm)],[c_1803,c_1799]) ).
tcf(c_10105,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10104,c_1797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL805-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 00:36:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 5.14/1.78 % SZS status Started for theBenchmark.p
% 5.14/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 5.14/1.78
% 5.14/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.14/1.78
% 5.14/1.78 % ------ iProver source info
% 5.14/1.78
% 5.14/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 5.14/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.14/1.78 % git: non_committed_changes: false
% 5.14/1.78
% 5.14/1.78 % ------ Parsing...% successful
% 5.14/1.78
% 5.14/1.78
% 5.14/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.14/1.78
% 5.14/1.78 % ------ Preprocessing...%
% 5.14/1.78
% 5.14/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 5.14/1.78
% 5.14/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.14/1.78
% 5.14/1.78
%------------------------------------------------------------------------------