TSTP Solution File: LAT268-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : 600s
% DateTime : Sun Jul 17 06:43:10 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 26 ( 4 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,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) ).
cnf(cls_Tarski_OCL_Olub__upper_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_in(U,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(Z,tc_Product__Type_Ounit))
| ~ c_in(U,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Z,tc_Product__Type_Ounit))
| ~ c_lessequals(Y,c_Tarski_Opotype_Opset(U,Z,tc_Product__Type_Ounit),tc_set(Z))
| c_in(c_Pair(X,c_Tarski_Olub(Y,U,Z),Z,Z),c_Tarski_Opotype_Oorder(U,Z,tc_Product__Type_Ounit),tc_prod(Z,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
cnf(cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0,axiom,
( ~ c_in(c_Pair(X,Y,Z,Z),c_Tarski_Opotype_Oorder(c_Tarski_Odual(U,Z),Z,tc_Product__Type_Ounit),tc_prod(Z,Z))
| c_in(c_Pair(Y,X,Z,Z),c_Tarski_Opotype_Oorder(U,Z,tc_Product__Type_Ounit),tc_prod(Z,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
cnf(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,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) ).
cnf(cls_Tarski_Odual_Acl_A_58_APartialOrder_0,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) ).
cnf(cls_Tarski_Oglb__dual__lub_0,axiom,
c_Tarski_Oglb(X,Y,Z) = c_Tarski_Olub(X,c_Tarski_Odual(Y,Z),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X,Y),Y,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X,Y,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(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(13,plain,
( ~ c_in(X,Y,Z)
| ~ c_in(c_Tarski_Odual(U,Z),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(Z,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(U,Z),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Z,tc_Product__Type_Ounit))
| ~ c_lessequals(Y,c_Tarski_Opotype_Opset(U,Z,tc_Product__Type_Ounit),tc_set(Z))
| c_in(c_Pair(X,c_Tarski_Oglb(Y,U,Z),Z,Z),c_Tarski_Opotype_Oorder(c_Tarski_Odual(U,Z),Z,tc_Product__Type_Ounit),tc_prod(Z,Z)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Tarski_OCL_Olub__upper_0,cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,theory(equality)]),cls_Tarski_Oglb__dual__lub_0,theory(equality)]) ).
cnf(14,plain,
( ~ c_in(X,Y,t_a)
| ~ c_lessequals(Y,v_A,tc_set(t_a))
| c_in(c_Pair(X,c_Tarski_Oglb(Y,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,cls_Tarski_OA_A_61_61_Apset_Acl_0,theory(equality)]),cls_Tarski_Odual_Acl_A_58_APartialOrder_0,cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0]) ).
cnf(16,plain,
c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[14,cls_conjecture_1,cls_conjecture_0]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0,16]),cls_conjecture_2,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 00:22:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T00:22:24
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-29T00:22:24
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 23 formulas have been input or derived (from 16 formulas).
% 0.19/0.50 ; 17 (74%) were retained. Of these,
% 0.19/0.50 ; 17 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (11 calls)
% 0.19/0.50 ; 0.003 9% Process new row (21 calls)
% 0.19/0.50 ; 0.000 0% Resolution (30 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (15 calls)
% 0.19/0.50 ; 0.000 0% Condensing (6 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (6 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (6 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.50 ; 0.002 6% Forward simplification (21 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (17 calls)
% 0.19/0.50 ; 0.000 0% Ordering (25 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.023 70% Other
% 0.19/0.50 ; 0.033 Total
% 0.19/0.50 ; 0.036 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 66 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.19/0.50 ; Retrieved 3 possibly forward subsuming rows in 6 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.19/0.50 ; Path-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.19/0.50 ; Path-index has 308 nodes (308 at peak, 308 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 351 nodes (351 at peak, 351 added, 0 deleted).
% 0.19/0.50 ; Retrieved 6 generalization terms in 46 calls.
% 0.19/0.50 ; Retrieved 10 instance terms in 10 calls.
% 0.19/0.50 ; Retrieved 97 unifiable terms in 175 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to give has 1 entry:
% 0.19/0.50 ; 1 with value (4 69)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.036 seconds of real time
% 0.19/0.50 0.027909 seconds of user run time
% 0.19/0.50 0.007786 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,993,176 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T00:22:24
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------