%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 1 nHn; 12 RR)
% Number of literals : 23 ( 9 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X)
| c_times(c_1,Y,X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_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_Oright__inverse_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| Y = c_0
| c_times(Y,c_HOL_Oinverse(Y,X),X) = c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_OrderedGroup_Omonoid__mult(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
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(10,plain,
class_Ring__and__Field_Ofield(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0,tfree_tcs]) ).
cnf(11,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_21,10]) ).
cnf(12,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_12,10]) ).
cnf(13,plain,
c_times(v_c,c_HOL_Oinverse(v_c,t_a),t_a) = c_1,
inference('UR-RESOLVE',[status(thm)],[cls_Ring__and__Field_Oright__inverse_0,10,cls_conjecture_0]) ).
cnf(15,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_0,11]) ).
cnf(16,plain,
v_g(v_x) != c_times(c_1,v_g(v_x),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_2,13,15,theory(equality)]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,16]),12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.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 02:37:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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 2022-07-08T02:37:16
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-08T02:37:16
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 21 formulas have been input or derived (from 13 formulas).
% 0.18/0.49 ; 17 (81%) were retained. Of these,
% 0.18/0.49 ; 1 ( 6%) were simplified or subsumed later,
% 0.18/0.49 ; 16 (94%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (9 calls)
% 0.18/0.49 ; 0.003 11% Process new row (19 calls)
% 0.18/0.49 ; 0.000 0% Resolution (24 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (12 calls)
% 0.18/0.49 ; 0.000 0% Condensing (7 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (7 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (7 calls)
% 0.18/0.49 ; 0.000 0% Forward simplification (19 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (17 calls)
% 0.18/0.49 ; 0.000 0% Ordering (12 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.022 81% Other
% 0.18/0.49 ; 0.027 Total
% 0.18/0.49 ; 0.030 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 38 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.18/0.49 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.18/0.49 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.18/0.49 ; Path-index has 40 entries (41 at peak, 45 added, 5 deleted).
% 0.18/0.49 ; Path-index has 115 nodes (121 at peak, 127 added, 12 deleted).
% 0.18/0.49 ; Trie-index has 40 entries (41 at peak, 45 added, 5 deleted).
% 0.18/0.49 ; Trie-index has 119 nodes (135 at peak, 148 added, 29 deleted).
% 0.18/0.49 ; Retrieved 4 generalization terms in 21 calls.
% 0.18/0.49 ; Retrieved 12 instance terms in 11 calls.
% 0.18/0.49 ; Retrieved 55 unifiable terms in 62 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to give has 4 entries:
% 0.18/0.49 ; 1 with value (4 5) 1 with value (4 17) 1 with value (4 21)
% 0.18/0.49 ; 1 with value (4 13)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.03 seconds of real time
% 0.18/0.49 0.027793 seconds of user run time
% 0.18/0.49 0.002273 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,235,504 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T02:37:16
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------