%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL798-1 : 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 : n009.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 02:08:25 PM UTC 2026
% Result : Unsatisfiable 1.94s 1.27s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 11 unt; 1 def)
% Number of atoms : 28 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
| ~ c_InductTermi_OIT(X0)
| ~ c_Type_Otyping(X2,X0,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f85,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f86,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f87,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f88,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X3,X1))
| ~ c_InductTermi_OIT(X3)
| ~ c_Type_Otyping(X0,X3,v_T____)
| ~ c_Type_Otyping(c_Type_Oshift(X0,X1,v_T____,tc_Type_Otype),v_a____,X2) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_197,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnf_transformation,[],[f85]) ).
tcf(c_198,plain,
c_InductTermi_OIT(v_u____),
inference(cnf_transformation,[],[f86]) ).
tcf(c_199,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
inference(cnf_transformation,[],[f87]) ).
tcf(c_200,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
inference(cnf_transformation,[],[f88]) ).
tcf(c_1277,definition,
iPr_def_10 = c_Lambda_Osubst(v_a____,v_u____,v_i____),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1278,negated_conjecture,
~ c_InductTermi_OIT(iPr_def_10),
inference(demodulation,[status(thm)],[c_200,c_1277]) ).
tcf(c_2943,plain,
! [X0: $i] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,v_i____))
| ~ c_InductTermi_OIT(X0)
| ~ c_Type_Otyping(v_e____,X0,v_T____) ),
inference(superposition,[status(thm)],[c_199,c_196]) ).
tcf(c_3877,plain,
( c_InductTermi_OIT(iPr_def_10)
| ~ c_InductTermi_OIT(v_u____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(superposition,[status(thm)],[c_1277,c_2943]) ).
tcf(c_3878,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3877,c_1278,c_198,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 00:30:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 1.94/1.27 % SZS status Started for theBenchmark.p
% 1.94/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.94/1.27
% 1.94/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.94/1.27
% 1.94/1.27 % ------ iProver source info
% 1.94/1.27
% 1.94/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.94/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.94/1.27 % git: non_committed_changes: false
% 1.94/1.27
% 1.94/1.27 % ------ Parsing...% successful
% 1.94/1.27
% 1.94/1.27
% 1.94/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.94/1.27
% 1.94/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 1.94/1.27
% 1.94/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.94/1.27
% 1.94/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.94/1.27 % ------ Proving...
% 1.94/1.27 % ------ Problem Properties
% 1.94/1.27
% 1.94/1.27 %
% 1.94/1.27 % clauses 51
% 1.94/1.27 % conjectures 1
% 1.94/1.27 % EPR 8
% 1.94/1.27 % Horn 48
% 1.94/1.27 % unary 21
% 1.94/1.27 % binary 26
% 1.94/1.27 % lits 86
% 1.94/1.27 % lits eq 32
% 1.94/1.27 % fd_pure 0
% 1.94/1.27 % fd_pseudo 0
% 1.94/1.27 % fd_cond 1
% 1.94/1.27 % fd_pseudo_cond 9
% 1.94/1.27 % AC symbols 0
% 1.94/1.27
% 1.94/1.27 % ------ Schedule dynamic 5 is on
% 1.94/1.27
% 1.94/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.94/1.27
% 1.94/1.27
% 1.94/1.27 % ------
% 1.94/1.27 % Current options:
% 1.94/1.27 % ------
% 1.94/1.27
% 1.94/1.27
% 1.94/1.27 %
% 1.94/1.27
% 1.94/1.27 % ------ Proving...
% 1.94/1.27 %
% 1.94/1.27
% 1.94/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.94/1.27
% 1.94/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.94/1.27
% 1.94/1.27
%------------------------------------------------------------------------------