TSTP Solution File: ANA038-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 19:26:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 27 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_0,v_g(v_xa),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_8,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_Orderings_Ole__maxI2_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_lessequals(Y,c_Orderings_Omax(Z,Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(c_0,U,X)
| c_lessequals(c_times(Y,U,X),c_times(Z,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Olinorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__semiring(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(11,plain,
class_Orderings_Olinorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(12,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(13,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(14,plain,
c_lessequals(X,c_Orderings_Omax(Y,X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Ole__maxI2_0,11]) ).
cnf(17,plain,
~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,13,cls_conjecture_5,cls_conjecture_8]) ).
cnf(20,plain,
c_lessequals(c_times(X,v_g(v_xa),t_b),c_times(c_Orderings_Omax(Y,X,t_b),v_g(v_xa),t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,14,12,cls_conjecture_3]) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[17,20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 05:25:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:25:39
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-08T05:25:39
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 43 formulas have been input or derived (from 15 formulas).
% 0.20/0.51 ; 21 (49%) were retained. Of these,
% 0.20/0.51 ; 1 ( 5%) were simplified or subsumed later,
% 0.20/0.51 ; 20 (95%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.003 10% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (10 calls)
% 0.20/0.51 ; 0.002 7% Process new row (24 calls)
% 0.20/0.51 ; 0.001 3% Resolution (28 calls)
% 0.20/0.51 ; 0.001 3% Paramodulation (14 calls)
% 0.20/0.51 ; 0.000 0% Condensing (6 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (6 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (6 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (24 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (21 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 72% Other
% 0.20/0.51 ; 0.029 Total
% 0.20/0.51 ; 0.032 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 43 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 18 nodes (18 at peak, 18 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.51 ; Path-index has 47 entries (48 at peak, 48 added, 1 deleted).
% 0.20/0.51 ; Path-index has 165 nodes (166 at peak, 166 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 47 entries (48 at peak, 48 added, 1 deleted).
% 0.20/0.51 ; Trie-index has 186 nodes (199 at peak, 199 added, 13 deleted).
% 0.20/0.51 ; Retrieved 5 generalization terms in 22 calls.
% 0.20/0.51 ; Retrieved 15 instance terms in 14 calls.
% 0.20/0.51 ; Retrieved 321 unifiable terms in 146 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 10 entries:
% 0.20/0.51 ; 3 with value 21 1 with value 24 1 with value 30
% 0.20/0.51 ; 1 with value 23 4 with value 25
% 0.20/0.51 ; The agenda of rows to give has 5 entries:
% 0.20/0.51 ; 1 with value (4 14) 1 with value (4 18) 1 with value (4 25)
% 0.20/0.51 ; 1 with value (4 16) 1 with value (4 21)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.032 seconds of real time
% 0.20/0.51 0.024155 seconds of user run time
% 0.20/0.51 0.008081 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,480,736 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:25:39
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------