%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL811-1 : 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 : n004.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 02:08:27 PM UTC 2026
% Result : Unsatisfiable 43.33s 7.82s
% Output : CNFRefutation 43.33s
% 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 : 7 ( 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 : 15 ( 15 usr; 9 con; 0-5 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f512,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_COMBC__def_0) ).
fof(f514,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__eq__Cons__conv_3) ).
fof(f523,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),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),v_bs____,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_CHAINED_0) ).
fof(f524,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_OCons(v_b____,v_bs____,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_481,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_OCons(v_b____,v_bs____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[],[f524]) ).
tcf(c_539,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,[],[f514]) ).
tcf(c_558,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),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),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[],[f523]) ).
tcf(c_561,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,[],[f512]) ).
tcf(c_76151,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_561,c_539]) ).
tcf(c_76272,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_561,c_76151]) ).
tcf(c_81612,plain,
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_OCons(v_b____,v_bs____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(demodulation,[status(thm)],[c_558,c_76151,c_76272]) ).
tcf(c_81613,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_81612,c_481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL811-1 : 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 : n004.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 00:31:36 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 43.33/7.82 % SZS status Started for theBenchmark.p
% 43.33/7.82 % SZS status Unsatisfiable for theBenchmark.p
% 43.33/7.82
% 43.33/7.82 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.33/7.82
% 43.33/7.82 % ------ iProver source info
% 43.33/7.82
% 43.33/7.82 % git: date: 2026-07-19 20:42:38 +0200
% 43.33/7.82 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.33/7.82 % git: non_committed_changes: false
% 43.33/7.82
% 43.33/7.82 % ------ Parsing...% successful
% 43.33/7.82
% 43.33/7.82
% 43.33/7.82 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.33/7.82
% 43.33/7.82 % ------ Preprocessing... sup_sim: 8 sf_s rm: 24 0s sf_e pe_s pe:1:0s pe_e sup_sim: 3 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 43.33/7.82
% 43.33/7.82 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 43.33/7.82
% 43.33/7.82 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 43.33/7.82 % ------ Proving...
% 43.33/7.82 % ------ Problem Properties
% 43.33/7.82
% 43.33/7.82 %
% 43.33/7.82 % clauses 186
% 43.33/7.82 % conjectures 1
% 43.33/7.82 % EPR 5
% 43.33/7.82 % Horn 180
% 43.33/7.82 % unary 88
% 43.33/7.82 % binary 84
% 43.33/7.82 % lits 299
% 43.33/7.82 % lits eq 180
% 43.33/7.82 % fd_pure 0
% 43.33/7.82 % fd_pseudo 0
% 43.33/7.82 % fd_cond 4
% 43.33/7.82 % fd_pseudo_cond 36
% 43.33/7.82 % AC symbols 0
% 43.33/7.82
% 43.33/7.82 % ------ Schedule dynamic 5 is on
% 43.33/7.82
% 43.33/7.82 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 43.33/7.82
% 43.33/7.82
% 43.33/7.82 % ------
% 43.33/7.82 % Current options:
% 43.33/7.82 % ------
% 43.33/7.82
% 43.33/7.82
% 43.33/7.82 %
% 43.33/7.82
% 43.33/7.82 % ------ Proving...
% 43.33/7.82 %
% 43.33/7.82
% 43.33/7.82 % SZS status Unsatisfiable for theBenchmark.p
% 43.33/7.82
% 43.33/7.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.33/7.82
% 43.33/7.82
%------------------------------------------------------------------------------