%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL858-1 : 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 : 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 02:08:35 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.18s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 19 unt; 3 def)
% Number of atoms : 44 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f100,axiom,
! [X2,X0,X1] :
( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2)
| hAPP(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing__elims_I1_J_0) ).
fof(f173,axiom,
! [X2,X0,X1] : c_Predicate_Oconversep(c_Predicate_Oconversep(X0,X1,X2),X2,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conversep__conversep_0) ).
fof(f184,axiom,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
fof(f215,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f216,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
inference(cnf_transformation,[],[f80]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP(X0,X1) = X2 )
| ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i,X2: $i] : c_Predicate_Oconversep(c_Predicate_Oconversep(X0,X1,X2),X2,X1) = X0,
inference(cnf_transformation,[],[f173]) ).
tcf(c_409,plain,
! [X0: $i] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_440,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(cnf_transformation,[],[f215]) ).
tcf(c_441,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
inference(cnf_transformation,[],[f216]) ).
tcf(c_5297,definition,
iPr_def_10 = c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5298,definition,
iPr_def_11 = c_Wellfounded_Oaccp(iPr_def_10,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5299,definition,
iPr_def_12 = hAPP(iPr_def_11,v_t),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5300,negated_conjecture,
~ hBOOL(iPr_def_12),
inference(demodulation,[status(thm)],[c_441,c_5297,c_5298,c_5299]) ).
tcf(c_8468,plain,
c_Type_Otyping(iPr_def_11,c_Lambda_OdB_OVar(v_t),iPr_def_12),
inference(superposition,[status(thm)],[c_5299,c_321]) ).
tcf(c_8558,plain,
c_Predicate_Oconversep(iPr_def_10,tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_Obeta,
inference(superposition,[status(thm)],[c_5297,c_400]) ).
tcf(c_8563,plain,
c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB) = iPr_def_10,
inference(superposition,[status(thm)],[c_8558,c_400]) ).
tcf(c_8580,plain,
hAPP(iPr_def_11,v_t) = iPr_def_12,
inference(superposition,[status(thm)],[c_8468,c_341]) ).
tcf(c_8800,plain,
! [X0: $i] :
( hBOOL(hAPP(iPr_def_11,X0))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(light_normalisation,[status(thm)],[c_409,c_5298,c_8563]) ).
tcf(c_8812,plain,
hBOOL(hAPP(iPr_def_11,v_t)),
inference(superposition,[status(thm)],[c_440,c_8800]) ).
tcf(c_8815,plain,
hBOOL(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_8812,c_8580]) ).
tcf(c_8816,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8815,c_5300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL858-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 00:36:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.72/1.18 % SZS status Started for theBenchmark.p
% 2.72/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.18
% 2.72/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.72/1.18
% 2.72/1.18 % ------ iProver source info
% 2.72/1.18
% 2.72/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.72/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.72/1.18 % git: non_committed_changes: false
% 2.72/1.18
% 2.72/1.18 % ------ Parsing...% successful
% 2.72/1.18
% 2.72/1.18
% 2.72/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.72/1.18
% 2.72/1.18 % ------ Preprocessing... sup_sim: 6 sf_s rm: 4 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.72/1.18
% 2.72/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.72/1.18
% 2.72/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.72/1.18 % ------ Proving...
% 2.72/1.18 % ------ Problem Properties
% 2.72/1.18
% 2.72/1.18 %
% 2.72/1.18 % clauses 182
% 2.72/1.18 % conjectures 1
% 2.72/1.18 % EPR 9
% 2.72/1.18 % Horn 164
% 2.72/1.18 % unary 45
% 2.72/1.18 % binary 94
% 2.72/1.18 % lits 368
% 2.72/1.18 % lits eq 96
% 2.72/1.18 % fd_pure 0
% 2.72/1.18 % fd_pseudo 0
% 2.72/1.18 % fd_cond 2
% 2.72/1.18 % fd_pseudo_cond 22
% 2.72/1.18 % AC symbols 0
% 2.72/1.18
% 2.72/1.18 % ------ Schedule dynamic 5 is on
% 2.72/1.18
% 2.72/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.72/1.18
% 2.72/1.18
% 2.72/1.18 % ------
% 2.72/1.18 % Current options:
% 2.72/1.18 % ------
% 2.72/1.18
% 2.72/1.18
% 2.72/1.18 %
% 2.72/1.18
% 2.72/1.18 % ------ Proving...
% 2.72/1.18 %
% 2.72/1.18
% 2.72/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.18
% 2.72/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.72/1.18
% 2.72/1.18
%------------------------------------------------------------------------------