TSTP Solution File: ANA015-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 19:26:40 EDT 2022
% Result : Unsatisfiable 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 23 ( 14 unt; 0 nHn; 14 RR)
% Number of literals : 34 ( 4 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(X)
| c_times(c_times(Y,Z,X),U,X) = c_times(Y,c_times(Z,U,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_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/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__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(U,Y,X),c_times(U,Z,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_g(X),t_a),c_times(v_d,c_HOL_Oabs(v_f(X),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X)),t_a),t_a),c_times(X,c_HOL_Oabs(v_f(v_x(X)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_OrderedGroup_Osemigroup__mult(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Ring__and__Field_Ofield(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Ring__and__Field_Oordered__idom(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(clsrel_Ring__and__Field_Oordered__field_46,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Ring__and__Field_Opordered__semiring(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_46) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(13,plain,
class_Ring__and__Field_Ofield(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0,tfree_tcs]) ).
cnf(14,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_34,tfree_tcs]) ).
cnf(15,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_46,tfree_tcs]) ).
cnf(16,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_47,tfree_tcs]) ).
cnf(17,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_21,13]) ).
cnf(18,plain,
c_HOL_Oabs(c_times(X,Y,t_a),t_a) = c_times(c_HOL_Oabs(X,t_a),c_HOL_Oabs(Y,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Oabs__mult_0,14]) ).
cnf(19,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,16]) ).
cnf(20,plain,
c_times(c_times(X,Y,t_a),Z,t_a) = c_times(X,c_times(Y,Z,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,17]) ).
cnf(22,plain,
c_lessequals(c_HOL_Oabs(c_times(X,v_g(Y),t_a),t_a),c_times(c_HOL_Oabs(X,t_a),c_times(v_d,c_HOL_Oabs(v_f(Y),t_a),t_a),t_a),t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,19,15,cls_conjecture_1]),18,theory(equality)]) ).
cnf(51,plain,
c_lessequals(c_HOL_Oabs(c_times(X,v_g(Y),t_a),t_a),c_times(c_times(c_HOL_Oabs(X,t_a),v_d,t_a),c_HOL_Oabs(v_f(Y),t_a),t_a),t_a),
inference('PARAMODULATE',[status(thm)],[22,20,theory(equality)]) ).
cnf(524,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 06:08:07 EDT 2022
% 0.13/0.34 % 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 2022-07-08T06:08:07
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-08T06:08:07
% 0.60/0.84
% 0.60/0.84
% 0.60/0.84 #||
% 0.60/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84 % SZS output start Refutation
% See solution above
% 0.60/0.84 ||#
% 0.60/0.84
% 0.60/0.84 ; Summary of computation:
% 0.60/0.84 ; 827 formulas have been input or derived (from 35 formulas).
% 0.60/0.84 ; 524 (63%) were retained. Of these,
% 0.60/0.84 ; 19 ( 4%) were simplified or subsumed later,
% 0.60/0.84 ; 505 (96%) are still being kept.
% 0.60/0.84 ;
% 0.60/0.84 ; Run time in seconds excluding printing time:
% 0.60/0.84 ; 0.003 1% Read assertion file (1 call)
% 0.60/0.84 ; 0.000 0% Assert (12 calls)
% 0.60/0.84 ; 0.062 17% Process new row (799 calls)
% 0.60/0.84 ; 0.003 1% Resolution (68 calls)
% 0.60/0.84 ; 0.013 3% Paramodulation (34 calls)
% 0.60/0.84 ; 0.000 0% Condensing (9 calls)
% 0.60/0.84 ; 0.000 0% Forward subsumption (9 calls)
% 0.60/0.84 ; 0.000 0% Backward subsumption (9 calls)
% 0.60/0.84 ; 0.075 20% Forward simplification (799 calls)
% 0.60/0.84 ; 0.025 7% Backward simplification (524 calls)
% 0.60/0.84 ; 0.169 45% Ordering (19,395 calls)
% 0.60/0.84 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.84 ; 0.000 0% Purity testing (1 call)
% 0.60/0.84 ; 0.022 6% Other
% 0.60/0.84 ; 0.372 Total
% 0.60/0.84 ; 0.375 Real time
% 0.60/0.84 ;
% 0.60/0.84 ; Term-hash-array has 1,007 terms in all.
% 0.60/0.84 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.60/0.84 ; Feature-vector-row-index has 30 nodes (30 at peak, 30 added, 0 deleted).
% 0.60/0.84 ; Retrieved 1 possibly forward subsuming row in 9 calls.
% 0.60/0.84 ; Retrieved 1 possibly backward subsumed row in 9 calls.
% 0.60/0.84 ; Path-index has 987 entries (987 at peak, 1,015 added, 28 deleted).
% 0.60/0.84 ; Path-index has 2,822 nodes (2,822 at peak, 2,849 added, 27 deleted).
% 0.60/0.84 ; Trie-index has 987 entries (987 at peak, 1,015 added, 28 deleted).
% 0.60/0.84 ; Trie-index has 10,269 nodes (10,269 at peak, 10,620 added, 351 deleted).
% 0.60/0.84 ; Retrieved 9,088 generalization terms in 5,883 calls.
% 0.60/0.84 ; Retrieved 1,863 instance terms in 1,312 calls.
% 0.60/0.84 ; Retrieved 1,768 unifiable terms in 327 calls.
% 0.60/0.84 ;
% 0.60/0.84 ; The agenda of rows to process has 12 entries:
% 0.60/0.84 ; 1 with value 31 1 with value 39 5 with value 44
% 0.60/0.84 ; 1 with value 37 1 with value 41 2 with value 45
% 0.60/0.84 ; 1 with value 38
% 0.60/0.84 ; The agenda of rows to give has 470 entries:
% 0.60/0.84 ; 4 with value (4 30) 20 with value (4 36) 9 with value (4 42)
% 0.60/0.84 ; 3 with value (4 31) 59 with value (4 37) 118 with value (4 43)
% 0.60/0.84 ; 1 with value (4 32) 6 with value (4 38) 208 with value (4 44)
% 0.60/0.84 ; 3 with value (4 33) 8 with value (4 39) 12 with value (4 45)
% 0.60/0.84 ; 3 with value (4 34) 4 with value (4 40) 1 with value (4 50)
% 0.60/0.84 ; 4 with value (4 35) 7 with value (4 41)
% 0.60/0.84 Evaluation took:
% 0.60/0.84 0.375 seconds of real time
% 0.60/0.84 0.329728 seconds of user run time
% 0.60/0.84 0.045202 seconds of system run time
% 0.60/0.84 [Run times include 0.008 seconds GC run time.]
% 0.60/0.84 0 calls to %EVAL
% 0.60/0.84 0 page faults and
% 0.60/0.84 23,029,864 bytes consed.
% 0.60/0.84 :PROOF-FOUND
% 0.60/0.84 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:08:07
% 0.60/0.84 :PROOF-FOUND
% 0.60/0.84 *
%------------------------------------------------------------------------------