TSTP Solution File: ANA010-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 19:26:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 24 ( 4 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| ~ c_lessequals(c_0,Y,X)
| c_HOL_Oabs(Y,X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_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_Oabs__mult_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| c_HOL_Oabs(c_times(Y,Z,X),X) = c_times(c_HOL_Oabs(Y,X),c_HOL_Oabs(Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_0,v_f(X),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_f(X),c_times(v_c,v_g(X),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(v_f(v_x(X)),c_times(X,c_HOL_Oabs(v_g(v_x(X)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
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/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(10,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(11,plain,
c_HOL_Oabs(c_times(X,Y,t_b),t_b) = c_times(c_HOL_Oabs(X,t_b),c_HOL_Oabs(Y,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Oabs__mult_0,tfree_tcs]) ).
cnf(12,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_17,10]) ).
cnf(14,plain,
c_lessequals(c_0,c_times(v_c,v_g(X),t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,12,cls_conjecture_1,cls_conjecture_0]) ).
cnf(16,plain,
c_HOL_Oabs(c_times(v_c,v_g(X),t_b),t_b) = c_times(v_c,v_g(X),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonneg_0,14,10]) ).
cnf(19,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(X,t_b))),c_HOL_Oabs(c_times(X,v_g(v_x(c_HOL_Oabs(X,t_b))),t_b),t_b),t_b),
inference('PARAMODULATE',[status(thm)],[cls_conjecture_2,11,theory(equality)]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,16,theory(equality)]),cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 03:54:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:54:23
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-08T03:54:23
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % 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 ; 49 formulas have been input or derived (from 21 formulas).
% 0.20/0.51 ; 32 (65%) were retained. Of these,
% 0.20/0.51 ; 32 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (9 calls)
% 0.20/0.51 ; 0.005 15% Process new row (40 calls)
% 0.20/0.51 ; 0.002 6% Resolution (40 calls)
% 0.20/0.51 ; 0.002 6% Paramodulation (20 calls)
% 0.20/0.51 ; 0.000 0% Condensing (5 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (5 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (5 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (40 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (32 calls)
% 0.20/0.51 ; 0.000 0% Ordering (82 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 64% Other
% 0.20/0.51 ; 0.033 Total
% 0.20/0.51 ; 0.035 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 102 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 19 nodes (19 at peak, 19 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.20/0.51 ; Path-index has 105 entries (105 at peak, 105 added, 0 deleted).
% 0.20/0.51 ; Path-index has 340 nodes (340 at peak, 340 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 105 entries (105 at peak, 105 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 582 nodes (582 at peak, 582 added, 0 deleted).
% 0.20/0.51 ; Retrieved 3 generalization terms in 92 calls.
% 0.20/0.51 ; Retrieved 26 instance terms in 26 calls.
% 0.20/0.51 ; Retrieved 201 unifiable terms in 172 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 3 entries:
% 0.20/0.51 ; 1 with value 29 1 with value 37 1 with value 40
% 0.20/0.51 ; The agenda of rows to give has 11 entries:
% 0.20/0.51 ; 1 with value (4 26) 1 with value (4 30) 4 with value (4 33)
% 0.20/0.51 ; 1 with value (4 29) 4 with value (4 31)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.036 seconds of real time
% 0.20/0.51 0.031923 seconds of user run time
% 0.20/0.51 0.004015 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 2,689,592 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:54:23
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------