%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 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 01:58:30 PM UTC 2026
% Result : Unsatisfiable 1.63s 1.28s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 14 unt; 3 def)
% Number of atoms : 52 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
fof(f4,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
fof(f5,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
fof(f6,axiom,
! [X0] :
( c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset
| ~ c_in(X0,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
fof(f7,plain,
! [X0] :
( c_emptyset != c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ( c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset )
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) = v_intY1,
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i] :
( ~ c_in(X0,v_A,t_a)
| ( c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_103,definition,
iPr_def_10 = c_Tarski_Oinduced(v_intY1,v_r,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_104,definition,
iPr_def_11 = c_Tarski_Opotype_Opotype__ext(v_intY1,iPr_def_10,c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_105,definition,
iPr_def_12 = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,negated_conjecture,
~ c_in(iPr_def_11,c_Tarski_OCompleteLattice,iPr_def_12),
inference(demodulation,[status(thm)],[c_55,c_105,c_103,c_104]) ).
tcf(c_317,plain,
( ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| ( v_intY1 != c_emptyset ) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
tcf(c_318,plain,
v_intY1 != c_emptyset,
inference(forward_subsumption_resolution,[status(thm)],[c_317,c_59]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,iPr_def_12)
| ( c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset )
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(light_normalisation,[status(thm)],[c_57,c_105]) ).
tcf(c_332,plain,
( c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,iPr_def_12)
| ( c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) = c_emptyset )
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(superposition,[status(thm)],[c_58,c_319]) ).
tcf(c_334,plain,
( c_in(iPr_def_11,c_Tarski_OCompleteLattice,iPr_def_12)
| ( v_intY1 = c_emptyset )
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(light_normalisation,[status(thm)],[c_332,c_58,c_103,c_104]) ).
tcf(c_335,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_334,c_106,c_318,c_56,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n009.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 20:45:14 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.63/1.28 % SZS status Started for theBenchmark.p
% 1.63/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.28
% 1.63/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.28
% 1.63/1.28 % ------ iProver source info
% 1.63/1.28
% 1.63/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.28 % git: non_committed_changes: false
% 1.63/1.28
% 1.63/1.28 % ------ Parsing...% successful
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.63/1.28 % ------ Proving...
% 1.63/1.28 % ------ Problem Properties
% 1.63/1.28
% 1.63/1.28 %
% 1.63/1.28 % clauses 9
% 1.63/1.28 % conjectures 1
% 1.63/1.28 % EPR 1
% 1.63/1.28 % Horn 8
% 1.63/1.28 % unary 7
% 1.63/1.28 % binary 1
% 1.63/1.28 % lits 13
% 1.63/1.28 % lits eq 6
% 1.63/1.28 % fd_pure 0
% 1.63/1.28 % fd_pseudo 0
% 1.63/1.28 % fd_cond 0
% 1.63/1.28 % fd_pseudo_cond 0
% 1.63/1.28 % AC symbols 0
% 1.63/1.28
% 1.63/1.28 % ------ Schedule dynamic 5 is on
% 1.63/1.28
% 1.63/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 % ------
% 1.63/1.28 % Current options:
% 1.63/1.28 % ------
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 %
% 1.63/1.28
% 1.63/1.28 % ------ Proving...
% 1.63/1.28 %
% 1.63/1.28
% 1.63/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.28
% 1.63/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.28
% 1.63/1.28
%------------------------------------------------------------------------------