TSTP Solution File: ANA029-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Thu Jul 14 19:26:51 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 13 unt; 1 nHn; 18 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_lessequals(c_0,c_HOL_Oabs(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_less(Y,Z,X)
| c_lessequals(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ class_Orderings_Olinorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Z,X)
| c_lessequals(c_Orderings_Omax(U,Y,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Y,X)
| c_lessequals(U,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_less(Y,Z,X)
| c_lessequals(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_10,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Olinorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Opordered__ab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(15,plain,
class_Orderings_Olinorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(16,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(17,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(19,plain,
c_less(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Olinorder__not__le_0,15,cls_conjecture_2]) ).
cnf(21,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,16]) ).
cnf(22,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Opordered__ab__group__add_10,17]) ).
cnf(31,plain,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,21,15,cls_conjecture_3]) ).
cnf(40,plain,
c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,19,22]) ).
cnf(58,plain,
c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,40,22,21]) ).
cnf(59,plain,
$false,
inference('REWRITE',[status(thm)],[31,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 04:04:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:04:59
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-08T04:04:59
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 106 formulas have been input or derived (from 26 formulas).
% 0.18/0.50 ; 59 (56%) were retained. Of these,
% 0.18/0.50 ; 1 ( 2%) were simplified or subsumed later,
% 0.18/0.50 ; 58 (98%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.003 8% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (14 calls)
% 0.18/0.51 ; 0.007 18% Process new row (71 calls)
% 0.18/0.51 ; 0.002 5% Resolution (50 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (25 calls)
% 0.18/0.51 ; 0.000 0% Factoring (1 call)
% 0.18/0.51 ; 0.001 2% Condensing (30 calls)
% 0.18/0.51 ; 0.000 0% Forward subsumption (30 calls)
% 0.18/0.51 ; 0.002 5% Backward subsumption (28 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (37 calls)
% 0.18/0.51 ; 0.003 8% Forward simplification (71 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (59 calls)
% 0.18/0.51 ; 0.000 0% Ordering (38 calls)
% 0.18/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.020 50% Other
% 0.18/0.51 ; 0.040 Total
% 0.18/0.51 ; 0.042 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 101 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 0.18/0.51 ; Retrieved 33 possibly forward subsuming rows in 30 calls.
% 0.18/0.51 ; Retrieved 7 possibly backward subsumed rows in 28 calls.
% 0.18/0.51 ; Path-index has 103 entries (104 at peak, 104 added, 1 deleted).
% 0.18/0.51 ; Path-index has 415 nodes (415 at peak, 415 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 103 entries (104 at peak, 104 added, 1 deleted).
% 0.18/0.51 ; Trie-index has 490 nodes (498 at peak, 498 added, 8 deleted).
% 0.18/0.51 ; Retrieved 10 generalization terms in 90 calls.
% 0.18/0.51 ; Retrieved 31 instance terms in 30 calls.
% 0.18/0.51 ; Retrieved 1,243 unifiable terms in 328 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 13 entries:
% 0.18/0.51 ; 1 with value 20 2 with value 21 10 with value 25
% 0.18/0.51 ; The agenda of rows to give has 32 entries:
% 0.18/0.51 ; 1 with value (4 12) 1 with value (4 20) 4 with value (4 25)
% 0.18/0.51 ; 2 with value (4 16) 4 with value (4 21) 1 with value (4 26)
% 0.18/0.51 ; 3 with value (4 17) 4 with value (4 22) 2 with value (4 27)
% 0.18/0.51 ; 4 with value (4 18) 1 with value (4 23) 1 with value (4 29)
% 0.18/0.51 ; 4 with value (4 19)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.043 seconds of real time
% 0.18/0.51 0.037486 seconds of user run time
% 0.18/0.51 0.006164 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,328,608 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:04:59
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------