%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL856-1 : 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 4.41s 1.21s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f162,axiom,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
fof(f194,axiom,
! [X2,X0,X1] :
( ~ c_Type_Otyping(X1,X0,X2)
| hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_type__implies__IT_0) ).
fof(f196,negated_conjecture,
c_Type_Otyping(v_e,v_t,v_T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f197,negated_conjecture,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_236,negated_conjecture,
c_Type_Otyping(v_e,v_t,v_T),
inference(cnf_transformation,[],[f196]) ).
tcf(c_237,negated_conjecture,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
inference(cnf_transformation,[],[f197]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ c_Type_Otyping(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_271,plain,
! [X0: $i] :
( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_4112,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(superposition,[status(thm)],[c_236,c_238]) ).
tcf(c_4141,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(superposition,[status(thm)],[c_271,c_237]) ).
tcf(c_4142,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4141,c_4112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 00:37:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 4.41/1.21 % SZS status Started for theBenchmark.p
% 4.41/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.21
% 4.41/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.41/1.21
% 4.41/1.21 % ------ iProver source info
% 4.41/1.21
% 4.41/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 4.41/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.41/1.21 % git: non_committed_changes: false
% 4.41/1.21
% 4.41/1.21 % ------ Parsing...% successful
% 4.41/1.21
% 4.41/1.21
% 4.41/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.41/1.21
% 4.41/1.21 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.41/1.21
% 4.41/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.41/1.21
% 4.41/1.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.41/1.21 % ------ Proving...
% 4.41/1.21 % ------ Problem Properties
% 4.41/1.21
% 4.41/1.21 %
% 4.41/1.21 % clauses 91
% 4.41/1.21 % conjectures 2
% 4.41/1.21 % EPR 2
% 4.41/1.21 % Horn 89
% 4.41/1.21 % unary 20
% 4.41/1.21 % binary 52
% 4.41/1.21 % lits 181
% 4.41/1.21 % lits eq 48
% 4.41/1.21 % fd_pure 0
% 4.41/1.21 % fd_pseudo 0
% 4.41/1.21 % fd_cond 0
% 4.41/1.21 % fd_pseudo_cond 14
% 4.41/1.21 % AC symbols 0
% 4.41/1.21
% 4.41/1.21 % ------ Schedule dynamic 5 is on
% 4.41/1.21
% 4.41/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.41/1.21
% 4.41/1.21
% 4.41/1.21 % ------
% 4.41/1.21 % Current options:
% 4.41/1.21 % ------
% 4.41/1.21
% 4.41/1.21
% 4.41/1.21 %
% 4.41/1.21
% 4.41/1.21 % ------ Proving...
% 4.41/1.21 %
% 4.41/1.21
% 4.41/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.21
% 4.41/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.41/1.21
% 4.41/1.21
%------------------------------------------------------------------------------