%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT263-2 : 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 : n020.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 2.14s 6.91s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 24 unt; 3 def)
% Number of atoms : 80 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 30 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 22 ( 0 sgn 22 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,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(f3,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(f4,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(f5,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(f6,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(f7,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(f8,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(f9,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,[],[f8]) ).
fof(f10,plain,
~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
inference(definition_unfolding,[],[f2,f7]) ).
tcf(c_57,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,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,[],[f10]) ).
tcf(c_59,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,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,[],[f4]) ).
tcf(c_61,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,[],[f5]) ).
tcf(c_62,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,[],[f6]) ).
tcf(c_63,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,[],[f9]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Tarski_Olub(X1,X2,X0),c_Tarski_Opotype_Opset(X2,X0,tc_Product__Type_Ounit),X0)
| ~ c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X0,tc_Product__Type_Ounit))
| ~ c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X0,tc_Product__Type_Ounit))
| ( X1 != v_S )
| ( tc_set(X0) != tc_set(t_a) )
| ( c_Tarski_Opotype_Opset(X2,X0,tc_Product__Type_Ounit) != v_A ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_60]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( c_in(c_Tarski_Olub(v_S,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),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))
| ( tc_set(X1) != tc_set(t_a) )
| ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A ) ),
inference(unflattening,[status(thm)],[c_100]) ).
tcf(c_157,definition,
iPr_def_10 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_158,definition,
iPr_def_11 = c_Tarski_Odual(v_cl,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_159,definition,
iPr_def_12 = c_Tarski_Olub(v_S,iPr_def_11,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( c_in(c_Tarski_Olub(v_S,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),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))
| ( tc_set(X1) != iPr_def_10 )
| ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A ) ),
inference(demodulation,[status(thm)],[c_101,c_157]) ).
tcf(c_161,negated_conjecture,
~ c_in(iPr_def_12,v_A,t_a),
inference(demodulation,[status(thm)],[c_58,c_158,c_159]) ).
tcf(c_350,plain,
c_in(iPr_def_11,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(light_normalisation,[status(thm)],[c_61,c_158]) ).
tcf(c_351,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(iPr_def_11,t_a,tc_Product__Type_Ounit),
inference(superposition,[status(thm)],[c_158,c_63]) ).
tcf(c_353,plain,
c_Tarski_Opotype_Opset(iPr_def_11,t_a,tc_Product__Type_Ounit) = v_A,
inference(light_normalisation,[status(thm)],[c_351,c_59]) ).
tcf(c_361,plain,
c_in(iPr_def_11,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(light_normalisation,[status(thm)],[c_62,c_158]) ).
tcf(c_362,plain,
( c_in(c_Tarski_Olub(v_S,iPr_def_11,t_a),c_Tarski_Opotype_Opset(iPr_def_11,t_a,tc_Product__Type_Ounit),t_a)
| ~ c_in(iPr_def_11,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(iPr_def_11,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ( tc_set(t_a) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_353,c_160]) ).
tcf(c_363,plain,
( c_in(c_Tarski_Olub(v_S,iPr_def_11,t_a),c_Tarski_Opotype_Opset(iPr_def_11,t_a,tc_Product__Type_Ounit),t_a)
| ~ c_in(iPr_def_11,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(iPr_def_11,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(ground_joinability,[status(thm)],[c_362,c_157]) ).
tcf(c_364,plain,
( c_in(iPr_def_12,v_A,t_a)
| ~ c_in(iPr_def_11,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(iPr_def_11,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(light_normalisation,[status(thm)],[c_363,c_159,c_353]) ).
tcf(c_365,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_364,c_161,c_361,c_350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT263-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.99 % Computer : n020.cluster.edu
% 0.10/5.99 % Model : x86_64 x86_64
% 0.10/5.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.99 % Memory : 8046.5625MB
% 0.10/5.99 % OS : Linux 6.8.0-71-generic
% 0.10/5.99 % CPULimit : 300
% 0.10/5.99 % WCLimit : 300
% 0.10/5.99 % DateTime : Wed Sep 23 20:44:55 UTC 2026
% 0.10/6.00 % CPUTime :
% 0.10/6.00 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/6.03 Running first-order theorem proving
% 0.14/6.04 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
% 0.14/6.05
% 0.14/6.05 % ======== iProver multi-core TPTP/SMT =========
% 0.14/6.05
% 0.14/6.05 % Detected problem language: tptp
% 0.14/6.06 % Proving...
% 2.14/6.91 % SZS status Started for theBenchmark.p
% 2.14/6.91 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/6.91
% 2.14/6.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/6.91
% 2.14/6.91 % ------ iProver source info
% 2.14/6.91
% 2.14/6.91 % git: date: 2026-07-19 20:42:38 +0200
% 2.14/6.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/6.91 % git: non_committed_changes: false
% 2.14/6.91
% 2.14/6.91 % ------ Parsing...% successful
% 2.14/6.91
% 2.14/6.91
% 2.14/6.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.14/6.91
% 2.14/6.91 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.14/6.91
% 2.14/6.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.14/6.91
% 2.14/6.91 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.14/6.91 % ------ Proving...
% 2.14/6.91 % ------ Problem Properties
% 2.14/6.91
% 2.14/6.91 %
% 2.14/6.91 % clauses 9
% 2.14/6.91 % conjectures 1
% 2.14/6.91 % EPR 1
% 2.14/6.91 % Horn 9
% 2.14/6.91 % unary 8
% 2.14/6.91 % binary 0
% 2.14/6.91 % lits 13
% 2.14/6.91 % lits eq 7
% 2.14/6.91 % fd_pure 0
% 2.14/6.91 % fd_pseudo 0
% 2.14/6.91 % fd_cond 0
% 2.14/6.91 % fd_pseudo_cond 0
% 2.14/6.91 % AC symbols 0
% 2.14/6.91
% 2.14/6.91 % ------ Schedule dynamic 5 is on
% 2.14/6.91
% 2.14/6.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.14/6.91
% 2.14/6.91
% 2.14/6.91 % ------
% 2.14/6.91 % Current options:
% 2.14/6.91 % ------
% 2.14/6.91
% 2.14/6.91
% 2.14/6.91 %
% 2.14/6.91
% 2.14/6.91 % ------ Proving...
% 2.14/6.91 %
% 2.14/6.91
% 2.14/6.91 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/6.91
% 2.14/6.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/6.91
% 2.14/6.91
%------------------------------------------------------------------------------