TSTP Solution File: LAT263-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT263-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:17:09 EDT 2023
% Result : Unsatisfiable 14.10s 2.69s
% Output : CNFRefutation 14.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 29 ( 3 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(c_50,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).
cnf(c_55,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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
cnf(c_56,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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
cnf(c_57,plain,
c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2) = c_Tarski_Oglb(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
cnf(c_58,plain,
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) ).
cnf(c_59,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_60,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) ).
cnf(c_68628,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(superposition,[status(thm)],[c_58,c_50]) ).
cnf(c_68703,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Oglb(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(demodulation,[status(thm)],[c_68628,c_57,c_58]) ).
cnf(c_68712,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a) ),
inference(superposition,[status(thm)],[c_49,c_68703]) ).
cnf(c_68801,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a) ),
inference(global_subsumption_just,[status(thm)],[c_68712,c_56,c_55,c_68712]) ).
cnf(c_68806,plain,
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a) ),
inference(light_normalisation,[status(thm)],[c_68801,c_49]) ).
cnf(c_68811,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(superposition,[status(thm)],[c_68806,c_60]) ).
cnf(c_68812,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_68811]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT263-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n028.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 09:28:04 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.10/2.69 % SZS status Started for theBenchmark.p
% 14.10/2.69 % SZS status Unsatisfiable for theBenchmark.p
% 14.10/2.69
% 14.10/2.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.10/2.69
% 14.10/2.69 ------ iProver source info
% 14.10/2.69
% 14.10/2.69 git: date: 2023-05-31 18:12:56 +0000
% 14.10/2.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.10/2.69 git: non_committed_changes: false
% 14.10/2.69 git: last_make_outside_of_git: false
% 14.10/2.69
% 14.10/2.69 ------ Parsing...successful
% 14.10/2.69
% 14.10/2.69
% 14.10/2.69
% 14.10/2.69 ------ Preprocessing... sup_sim: 107 sf_s rm: 605 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
% 14.10/2.69
% 14.10/2.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.10/2.69
% 14.10/2.69 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 14.10/2.69 ------ Proving...
% 14.10/2.69 ------ Problem Properties
% 14.10/2.69
% 14.10/2.69
% 14.10/2.69 clauses 1504
% 14.10/2.69 conjectures 2
% 14.10/2.69 EPR 75
% 14.10/2.69 Horn 1325
% 14.10/2.69 unary 625
% 14.10/2.69 binary 589
% 14.10/2.69 lits 2738
% 14.10/2.69 lits eq 1104
% 14.10/2.69 fd_pure 0
% 14.10/2.69 fd_pseudo 0
% 14.10/2.69 fd_cond 99
% 14.10/2.69 fd_pseudo_cond 67
% 14.10/2.69 AC symbols 0
% 14.10/2.69
% 14.10/2.69 ------ Input Options Time Limit: Unbounded
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% 14.10/2.69 ------
% 14.10/2.69 Current options:
% 14.10/2.69 ------
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% 14.10/2.69 ------ Proving...
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% 14.10/2.69 ------ Proving...
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% 14.10/2.69 ------ Proving...
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% 14.10/2.69 ------ Proving...
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% 14.10/2.69 ------ Proving...
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% 14.10/2.69 ------ Proving...
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% 14.10/2.69
% 14.10/2.69 % SZS status Unsatisfiable for theBenchmark.p
% 14.10/2.69
% 14.10/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 14.10/2.69
%------------------------------------------------------------------------------