%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL830-1 : 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 : n014.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 02:08:31 PM UTC 2026
% Result : Unsatisfiable 0.80s 1.29s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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 : 13 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f567,axiom,
! [X2,X3,X0,X1,X4] : c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4) = c_List_Olist_OCons(hAPP(X0,X1),c_List_Omap(X0,X2,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map_Osimps_I2_J_0) ).
fof(f572,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f573,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,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_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f601,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBC(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).
tcf(c_975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : c_List_Olist_OCons(hAPP(X0,X1),c_List_Omap(X0,X2,X3,X4),X4) = c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4),
inference(cnf_transformation,[],[f567]) ).
tcf(c_979,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[],[f572]) ).
tcf(c_980,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,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_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[],[f573]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : hAPP(c_COMBC(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),X1),
inference(cnf_transformation,[],[f601]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : c_List_Olist_OCons(hAPP(hAPP(X0,X1),X2),c_List_Omap(c_COMBC(X0,X2,X3,X4,X5),X6,X7,X8),X8) = c_List_Omap(c_COMBC(X0,X2,X3,X4,X5),c_List_Olist_OCons(X1,X6,X7),X7,X8),
inference(superposition,[status(thm)],[c_1008,c_975]) ).
tcf(c_2388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : c_List_Olist_OCons(hAPP(hAPP(hAPP(X0,X1),X2),X3),c_List_Omap(c_COMBC(c_COMBC(X0,X2,X4,X5,X6),X3,X7,X8,X9),X10,X11,X12),X12) = c_List_Omap(c_COMBC(c_COMBC(X0,X2,X4,X5,X6),X3,X7,X8,X9),c_List_Olist_OCons(X1,X10,X11),X11,X12),
inference(superposition,[status(thm)],[c_1008,c_1178]) ).
tcf(c_2448,plain,
c_List_Olistsp(c_InductTermi_OIT,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_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(demodulation,[status(thm)],[c_979,c_2388]) ).
tcf(c_2449,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_980,c_2448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 00:33:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 0.80/1.29 % SZS status Started for theBenchmark.p
% 0.80/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.29
% 0.80/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.80/1.29
% 0.80/1.29 % ------ iProver source info
% 0.80/1.29
% 0.80/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.80/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.80/1.29 % git: non_committed_changes: false
% 0.80/1.29
% 0.80/1.29 % ------ Parsing...% successful
% 0.80/1.29
% 0.80/1.29
% 0.80/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.80/1.29 % ------ Proving...
% 0.80/1.29 % ------ Problem Properties
% 0.80/1.29
% 0.80/1.29 %
% 0.80/1.29 % clauses 479
% 0.80/1.29 % conjectures 1
% 0.80/1.29 % EPR 40
% 0.80/1.29 % Horn 451
% 0.80/1.29 % unary 186
% 0.80/1.29 % binary 200
% 0.80/1.29 % lits 897
% 0.80/1.29 % lits eq 395
% 0.80/1.29 % fd_pure 0
% 0.80/1.29 % fd_pseudo 0
% 0.80/1.29 % fd_cond 3
% 0.80/1.29 % fd_pseudo_cond 71
% 0.80/1.29 % AC symbols 0
% 0.80/1.29
% 0.80/1.29 % ------ Input Options Time Limit: Unbounded
% 0.80/1.29
% 0.80/1.29
% 0.80/1.29 % ------
% 0.80/1.29 % Current options:
% 0.80/1.29 % ------
% 0.80/1.29
% 0.80/1.29
% 0.80/1.29 %
% 0.80/1.29
% 0.80/1.29 % ------ Proving...
% 0.80/1.29 %
% 0.80/1.29
% 0.80/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.29
% 0.80/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.29
% 0.80/1.29
%------------------------------------------------------------------------------