%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 01:58:28 PM UTC 2026
% Result : Unsatisfiable 115.78s 28.79s
% Output : CNFRefutation 115.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 25 unt; 3 def)
% Number of atoms : 60 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 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 : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3319,axiom,
! [X2,X0,X1] :
( c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).
fof(f3324,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f3325,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f3326,axiom,
! [X2,X0,X1] : c_Tarski_Oglb(X0,X1,X2) = c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f3327,axiom,
! [X0,X1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f3328,plain,
! [X0,X1] : c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),
inference(reorient_equations,[],[f3327]) ).
fof(f3329,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3330,negated_conjecture,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3551,plain,
~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
inference(definition_unfolding,[],[f3330,f3326]) ).
tcf(c_4939,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnf_transformation,[],[f3318]) ).
tcf(c_4940,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Tarski_Olub(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2)
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) ),
inference(cnf_transformation,[],[f3319]) ).
tcf(c_4943,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f3324]) ).
tcf(c_4944,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f3325]) ).
tcf(c_4945,plain,
! [X0: $i,X1: $i] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
inference(cnf_transformation,[],[f3328]) ).
tcf(c_4946,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnf_transformation,[],[f3329]) ).
tcf(c_4947,negated_conjecture,
~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
inference(cnf_transformation,[],[f3551]) ).
tcf(c_85393,definition,
iPr_def_10 = c_Tarski_Odual(v_cl,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_85394,definition,
iPr_def_11 = c_Tarski_Olub(v_S,iPr_def_10,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_85395,definition,
iPr_def_12 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_85396,negated_conjecture,
~ c_in(iPr_def_11,v_A,t_a),
inference(demodulation,[status(thm)],[c_4947,c_85393,c_85394]) ).
tcf(c_85397,negated_conjecture,
c_lessequals(v_S,v_A,iPr_def_12),
inference(demodulation,[status(thm)],[c_4946,c_85395]) ).
tcf(c_237097,plain,
c_in(iPr_def_10,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(light_normalisation,[status(thm)],[c_4943,c_85393]) ).
tcf(c_237098,plain,
c_in(iPr_def_10,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(light_normalisation,[status(thm)],[c_4944,c_85393]) ).
tcf(c_243714,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(iPr_def_10,t_a,tc_Product__Type_Ounit),
inference(superposition,[status(thm)],[c_85393,c_4945]) ).
tcf(c_243715,plain,
c_Tarski_Opotype_Opset(iPr_def_10,t_a,tc_Product__Type_Ounit) = v_A,
inference(light_normalisation,[status(thm)],[c_243714,c_4939]) ).
tcf(c_326311,plain,
( c_in(iPr_def_11,c_Tarski_Opotype_Opset(iPr_def_10,t_a,tc_Product__Type_Ounit),t_a)
| ~ c_in(iPr_def_10,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(iPr_def_10,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(iPr_def_10,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_85394,c_4940]) ).
tcf(c_326327,plain,
( c_in(iPr_def_11,v_A,t_a)
| ~ c_lessequals(v_S,v_A,iPr_def_12)
| ~ c_in(iPr_def_10,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(iPr_def_10,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(light_normalisation,[status(thm)],[c_326311,c_85395,c_243715]) ).
tcf(c_326328,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_326327,c_85396,c_85397,c_237098,c_237097]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 20:43:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 115.78/28.79 % SZS status Started for theBenchmark.p
% 115.78/28.79 % SZS status Unsatisfiable for theBenchmark.p
% 115.78/28.79
% 115.78/28.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 115.78/28.79
% 115.78/28.79 % ------ iProver source info
% 115.78/28.79
% 115.78/28.79 % git: date: 2026-07-19 20:42:38 +0200
% 115.78/28.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 115.78/28.79 % git: non_committed_changes: false
% 115.78/28.79
% 115.78/28.79 % ------ Parsing...% successful
% 115.78/28.79
% 115.78/28.79
% 115.78/28.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 115.78/28.79
% 115.78/28.79 % ------ Preprocessing... sup_sim: 119 sf_s rm: 19 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 147 sf_s rm: 57 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 57 0s sf_e pe_s pe_e %
% 115.78/28.79
% 115.78/28.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 115.78/28.79
% 115.78/28.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 115.78/28.79 % ------ Proving...
% 115.78/28.79 % ------ Problem Properties
% 115.78/28.79
% 115.78/28.79 %
% 115.78/28.79 % clauses 1491
% 115.78/28.79 % conjectures 2
% 115.78/28.79 % EPR 55
% 115.78/28.79 % Horn 1284
% 115.78/28.79 % unary 610
% 115.78/28.79 % binary 596
% 115.78/28.79 % lits 2713
% 115.78/28.79 % lits eq 1113
% 115.78/28.79 % fd_pure 0
% 115.78/28.79 % fd_pseudo 0
% 115.78/28.79 % fd_cond 116
% 115.78/28.79 % fd_pseudo_cond 69
% 115.78/28.79 % AC symbols 0
% 115.78/28.79
% 115.78/28.79 % ------ Schedule dynamic 5 is on
% 115.78/28.79
% 115.78/28.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 115.78/28.79
% 115.78/28.79
% 115.78/28.79 % ------
% 115.78/28.79 % Current options:
% 115.78/28.79 % ------
% 115.78/28.79
% 115.78/28.79
% 115.78/28.79 %
% 115.78/28.79
% 115.78/28.79 % ------ Proving...
% 115.78/28.79 % Proof_search_loop: time out after: 7566 full_loop iterations
% 115.78/28.79
% 115.78/28.79 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 115.78/28.79
% 115.78/28.79
% 115.78/28.79 % ------
% 115.78/28.79 % Current options:
% 115.78/28.79 % ------
% 115.78/28.79
% 115.78/28.79
% 115.78/28.79 %
% 115.78/28.79
% 115.78/28.79 % ------ Proving...
% 115.78/28.79 %
% 115.78/28.79
% 115.78/28.79 % SZS status Unsatisfiable for theBenchmark.p
% 115.78/28.79
% 115.78/28.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.78/28.79
% 115.78/28.79
%------------------------------------------------------------------------------