%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 19:26:41 EDT 2022
% Result : Unsatisfiable 0.82s 0.99s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 28 ( 4 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(X),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X)),t_b),t_b),c_times(X,c_HOL_Oabs(v_f(v_x(X)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_OrderedGroup_Omult__ac__1_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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_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_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/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Osemigroup__mult(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
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_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(11,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_21,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_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(14,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(15,plain,
c_times(c_times(X,Y,t_b),Z,t_b) = c_times(X,c_times(Y,Z,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omult__ac__1_0,11]) ).
cnf(16,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,13]) ).
cnf(18,plain,
c_lessequals(c_HOL_Oabs(c_times(X,v_b(Y),t_b),t_b),c_times(c_HOL_Oabs(X,t_b),c_times(v_ca,c_HOL_Oabs(v_f(Y),t_b),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,16,12,cls_conjecture_0]),14,theory(equality)]) ).
cnf(490,plain,
c_lessequals(c_HOL_Oabs(c_times(X,v_b(Y),t_b),t_b),c_times(c_times(c_HOL_Oabs(X,t_b),v_ca,t_b),c_HOL_Oabs(v_f(Y),t_b),t_b),t_b),
inference('PARAMODULATE',[status(thm)],[18,15,theory(equality)]) ).
cnf(660,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_1,490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n013.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 03:55:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:55:44
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-08T03:55:44
% 0.82/0.99
% 0.82/0.99
% 0.82/0.99 #||
% 0.82/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/0.99 % SZS output start Refutation
% See solution above
% 0.82/0.99 ||#
% 0.82/0.99
% 0.82/0.99 ; Summary of computation:
% 0.82/0.99 ; 1178 formulas have been input or derived (from 33 formulas).
% 0.82/0.99 ; 660 (56%) were retained. Of these,
% 0.82/0.99 ; 4 ( 1%) were simplified or subsumed later,
% 0.82/0.99 ; 656 (99%) are still being kept.
% 0.82/0.99 ;
% 0.82/0.99 ; Run time in seconds excluding printing time:
% 0.82/0.99 ; 0.002 0% Read assertion file (1 call)
% 0.82/0.99 ; 0.001 0% Assert (10 calls)
% 0.82/0.99 ; 0.079 15% Process new row (1,146 calls)
% 0.82/0.99 ; 0.002 0% Resolution (64 calls)
% 0.82/0.99 ; 0.024 5% Paramodulation (32 calls)
% 0.82/0.99 ; 0.000 0% Condensing (7 calls)
% 0.82/0.99 ; 0.000 0% Forward subsumption (7 calls)
% 0.82/0.99 ; 0.000 0% Backward subsumption (7 calls)
% 0.82/0.99 ; 0.118 22% Forward simplification (1,146 calls)
% 0.82/0.99 ; 0.025 5% Backward simplification (660 calls)
% 0.82/0.99 ; 0.247 47% Ordering (32,037 calls)
% 0.82/0.99 ; 0.001 0% Sortal reasoning (32 calls)
% 0.82/0.99 ; 0.000 0% Purity testing (1 call)
% 0.82/0.99 ; 0.027 5% Other
% 0.82/0.99 ; 0.526 Total
% 0.82/0.99 ; 0.528 Real time
% 0.82/0.99 ;
% 0.82/0.99 ; Term-hash-array has 1,145 terms in all.
% 0.82/0.99 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.82/0.99 ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.82/0.99 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.82/0.99 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.82/0.99 ; Path-index has 1,144 entries (1,144 at peak, 1,150 added, 6 deleted).
% 0.82/0.99 ; Path-index has 2,864 nodes (2,864 at peak, 2,867 added, 3 deleted).
% 0.82/0.99 ; Trie-index has 1,144 entries (1,144 at peak, 1,150 added, 6 deleted).
% 0.82/0.99 ; Trie-index has 12,374 nodes (12,374 at peak, 12,441 added, 67 deleted).
% 0.82/0.99 ; Retrieved 13,021 generalization terms in 8,056 calls.
% 0.82/0.99 ; Retrieved 2,720 instance terms in 1,758 calls.
% 0.82/0.99 ; Retrieved 2,659 unifiable terms in 330 calls.
% 0.82/0.99 ;
% 0.82/0.99 ; The agenda of rows to process has 13 entries:
% 0.82/0.99 ; 1 with value 31 1 with value 39 9 with value 44
% 0.82/0.99 ; 1 with value 37 1 with value 41
% 0.82/0.99 ; The agenda of rows to give has 623 entries:
% 0.82/0.99 ; 4 with value (4 30) 60 with value (4 36) 117 with value (4 42)
% 0.82/0.99 ; 2 with value (4 31) 20 with value (4 37) 236 with value (4 43)
% 0.82/0.99 ; 1 with value (4 32) 11 with value (4 38) 121 with value (4 44)
% 0.82/0.99 ; 3 with value (4 33) 3 with value (4 39) 5 with value (4 45)
% 0.82/0.99 ; 2 with value (4 34) 4 with value (4 40) 1 with value (4 47)
% 0.82/0.99 ; 20 with value (4 35) 12 with value (4 41) 1 with value (4 48)
% 0.82/0.99 Evaluation took:
% 0.82/0.99 0.528 seconds of real time
% 0.82/0.99 0.455816 seconds of user run time
% 0.82/0.99 0.072789 seconds of system run time
% 0.82/0.99 [Run times include 0.015 seconds GC run time.]
% 0.82/0.99 0 calls to %EVAL
% 0.82/0.99 0 page faults and
% 0.82/0.99 33,072,520 bytes consed.
% 0.82/0.99 :PROOF-FOUND
% 0.82/0.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:55:45
% 0.82/0.99 :PROOF-FOUND
% 0.82/0.99 *
%------------------------------------------------------------------------------