TSTP Solution File: ANA016-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA016-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 13.72s 13.97s
% Output : Refutation 13.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 1 nHn; 11 RR)
% Number of literals : 23 ( 9 equ; 8 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 : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_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/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oright__inverse_0) ).
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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_15,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_OrderedGroup_Omonoid__mult(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_15) ).
cnf(clsrel_Ring__and__Field_Oordered__field_24,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_OrderedGroup_Osemigroup__mult(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__field_24) ).
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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(2815,plain,
class_Ring__and__Field_Ofield(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0,tfree_tcs]) ).
cnf(2821,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_15,tfree_tcs]) ).
cnf(2831,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_24,tfree_tcs]) ).
cnf(18390,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_0,2815,cls_conjecture_0]) ).
cnf(18562,plain,
c_times(c_1,X,t_a) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,2821]) ).
cnf(18580,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_0,2831]) ).
cnf(18581,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,18562,18390,18580,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA016-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 05:51:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:51:58
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-08T05:51:58
% 0.61/0.85
% 0.70/0.87 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.70/0.87 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.70/0.88 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.73/0.91 WARNING:
% 0.73/0.91 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.91 WARNING:
% 0.73/0.91 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.91 WARNING:
% 0.73/0.91 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.91 WARNING:
% 0.73/0.91 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.91 WARNING:
% 0.73/0.91 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.91 WARNING:
% 0.73/0.91 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.91 WARNING:
% 0.73/0.91 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 13.72/13.97 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 13.72/13.97
% 13.72/13.97 #||
% 13.72/13.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.72/13.97 % SZS output start Refutation
% See solution above
% 13.72/13.97 ||#
% 13.72/13.97
% 13.72/13.97 ; Summary of computation:
% 13.72/13.97 ; 37175 formulas have been input or derived (from 2640 formulas).
% 13.72/13.97 ; 18581 (50%) were retained. Of these,
% 13.72/13.97 ; 3242 (17%) were simplified or subsumed later,
% 13.72/13.97 ; 15339 (83%) are still being kept.
% 13.72/13.97 ;
% 13.72/13.97 ; Run time in seconds excluding printing time:
% 13.72/13.97 ; 0.348 3% Read assertion file (1 call)
% 13.72/13.97 ; 0.039 0% Assert (2,789 calls)
% 13.72/13.97 ; 3.124 23% Process new row (34,418 calls)
% 13.72/13.97 ; 1.743 13% Resolution (5,278 calls)
% 13.72/13.97 ; 0.167 1% Paramodulation (2,639 calls)
% 13.72/13.97 ; 0.001 0% Factoring (74 calls)
% 13.72/13.97 ; 0.222 2% Condensing (13,543 calls)
% 13.72/13.97 ; 2.545 19% Forward subsumption (13,543 calls)
% 13.72/13.97 ; 1.267 9% Backward subsumption (11,017 calls)
% 13.72/13.97 ; 0.088 1% Clause clause subsumption (17,153 calls)
% 13.72/13.97 ; 2.402 18% Forward simplification (33,475 calls)
% 13.72/13.97 ; 0.827 6% Backward simplification (18,437 calls)
% 13.72/13.97 ; 0.487 4% Ordering (61,199 calls)
% 13.72/13.97 ; 0.002 0% Sortal reasoning (32 calls)
% 13.72/13.97 ; 0.013 0% Purity testing (1 call)
% 13.72/13.97 ; 0.204 2% Other
% 13.72/13.97 ; 13.479 Total
% 13.72/13.97 ; 13.480 Real time
% 13.72/13.97 ;
% 13.72/13.98 ; Term-hash-array has 49,378 terms in all.
% 13.72/13.98 ; Feature-vector-row-index has 9,237 entries (9,237 at peak, 11,017 added, 1,780 deleted).
% 13.72/13.98 ; Feature-vector-row-index has 75,116 nodes (75,116 at peak, 92,916 added, 17,800 deleted).
% 13.72/13.98 ; Retrieved 28,592 possibly forward subsuming rows in 13,543 calls.
% 13.72/13.98 ; Retrieved 9,413 possibly backward subsumed rows in 11,017 calls.
% 13.72/13.98 ; Path-index has 42,291 entries (42,756 at peak, 50,959 added, 8,668 deleted).
% 13.72/13.98 ; Path-index has 146,019 nodes (146,775 at peak, 157,547 added, 11,528 deleted).
% 13.72/13.98 ; Trie-index has 42,291 entries (42,756 at peak, 50,959 added, 8,668 deleted).
% 13.72/13.98 ; Trie-index has 339,597 nodes (344,156 at peak, 399,965 added, 60,368 deleted).
% 13.72/13.98 ; Retrieved 111,972 generalization terms in 300,656 calls.
% 13.72/13.98 ; Retrieved 13,904 instance terms in 7,949 calls.
% 13.72/13.98 ; Retrieved 2,108,754 unifiable terms in 28,533 calls.
% 13.72/13.98 ;
% 13.72/13.98 ; The agenda of backward simplifiable rows to process has 122 entries:
% 13.72/13.98 ; 122 with value 0
% 13.72/13.98 ; The agenda of rows to give has 12893 entries:
% 13.72/13.98 ; 45 with value (4 4) 76 with value (4 57) 12 with value (4 110)
% 13.72/13.98 ; 8 with value (4 5) 63 with value (4 58) 10 with value (4 111)
% 13.72/13.98 ; 45 with value (4 6) 68 with value (4 59) 13 with value (4 112)
% 13.72/13.98 ; 62 with value (4 7) 104 with value (4 60) 13 with value (4 113)
% 13.72/13.98 ; 49 with value (4 8) 69 with value (4 61) 4 with value (4 114)
% 13.72/13.98 ; 78 with value (4 9) 82 with value (4 62) 9 with value (4 115)
% 13.72/13.98 ; 133 with value (4 10) 84 with value (4 63) 5 with value (4 116)
% 13.72/13.98 ; 79 with value (4 11) 85 with value (4 64) 3 with value (4 117)
% 13.72/13.98 ; 177 with value (4 12) 59 with value (4 65) 7 with value (4 118)
% 13.72/13.98 ; 162 with value (4 13) 80 with value (4 66) 11 with value (4 119)
% 13.72/13.98 ; 206 with value (4 14) 98 with value (4 67) 4 with value (4 120)
% 13.72/13.98 ; 190 with value (4 15) 73 with value (4 68) 2 with value (4 121)
% 13.72/13.98 ; 225 with value (4 16) 84 with value (4 69) 5 with value (4 122)
% 13.72/13.98 ; 279 with value (4 17) 81 with value (4 70) 2 with value (4 123)
% 13.72/13.98 ; 217 with value (4 18) 83 with value (4 71) 6 with value (4 124)
% 13.72/13.98 ; 280 with value (4 19) 84 with value (4 72) 2 with value (4 125)
% 13.72/13.98 ; 297 with value (4 20) 61 with value (4 73) 2 with value (4 126)
% 13.72/13.98 ; 321 with value (4 21) 76 with value (4 74) 2 with value (4 127)
% 13.72/13.98 ; 300 with value (4 22) 65 with value (4 75) 3 with value (4 128)
% 13.72/13.98 ; 323 with value (4 23) 68 with value (4 76) 3 with value (4 129)
% 13.72/13.98 ; 333 with value (4 24) 71 with value (4 77) 2 with value (4 131)
% 13.72/13.98 ; 318 with value (4 25) 51 with value (4 78) 4 with value (4 133)
% 13.72/13.98 ; 297 with value (4 26) 63 with value (4 79) 5 with value (4 134)
% 13.72/13.98 ; 288 with value (4 27) 65 with value (4 80) 2 with value (4 137)
% 13.72/13.98 ; 305 with value (4 28) 43 with value (4 81) 2 with value (4 138)
% 13.72/13.98 ; 378 with value (4 29) 43 with value (4 82) 1 with value (4 140)
% 13.72/13.98 ; 291 with value (4 30) 32 with value (4 83) 2 with value (4 141)
% 13.72/13.98 ; 280 with value (4 31) 38 with value (4 84) 1 with value (4 142)
% 13.72/13.98 ; 306 with value (4 32) 46 with value (4 85) 1 with value (4 145)
% 13.72/13.98 ; 233 with value (4 33) 33 with value (4 86) 5 with value (4 152)
% 13.72/13.98 ; 242 with value (4 34) 41 with value (4 87) 2 with value (4 154)
% 13.72/13.98 ; 265 with value (4 35) 34 with value (4 88) 1 with value (4 157)
% 13.72/13.98 ; 187 with value (4 36) 21 with value (4 89) 3 with value (4 164)
% 13.72/13.98 ; 266 with value (4 37) 35 with value (4 90) 1 with value (4 165)
% 13.72/13.98 ; 208 with value (4 38) 27 with value (4 91) 1 with value (4 169)
% 13.72/13.98 ; 232 with value (4 39) 13 with value (4 92) 2 with value (4 171)
% 13.72/13.98 ; 204 with value (4 40) 43 with value (4 93) 2 with value (4 176)
% 13.72/13.98 ; 190 with value (4 41) 20 with value (4 94) 2 with value (4 178)
% 13.72/13.98 ; 184 with value (4 42) 25 with value (4 95) 4 with value (4 180)
% 13.72/13.98 ; 142 with value (4 43) 29 with value (4 96) 1 with value (4 185)
% 13.72/13.98 ; 166 with value (4 44) 24 with value (4 97) 2 with value (4 186)
% 13.72/13.98 ; 136 with value (4 45) 6 with value (4 98) 2 with value (4 195)
% 13.72/13.98 ; 128 with value (4 46) 27 with value (4 99) 1 with value (4 202)
% 13.72/13.98 ; 113 with value (4 47) 15 with value (4 100) 2 with value (4 203)
% 13.72/13.98 ; 138 with value (4 48) 15 with value (4 101) 2 with value (4 205)
% 13.72/13.98 ; 120 with value (4 49) 9 with value (4 102) 1 with value (4 208)
% 13.72/13.98 ; 100 with value (4 50) 14 with value (4 103) 2 with value (4 213)
% 13.72/13.98 ; 93 with value (4 51) 10 with value (4 104) 2 with value (4 220)
% 13.72/13.98 ; 172 with value (4 52) 24 with value (4 105) 1 with value (4 225)
% 13.72/13.98 ; 111 with value (4 53) 5 with value (4 106) 2 with value (4 244)
% 13.72/13.98 ; 101 with value (4 54) 10 with value (4 107) 2 with value (4 274)
% 13.72/13.98 ; 95 with value (4 55) 13 with value (4 108) 1 with value (4 321)
% 13.72/13.98 ; 108 with value (4 56) 17 with value (4 109)
% 13.72/13.98 Evaluation took:
% 13.72/13.98 13.49 seconds of real time
% 13.72/13.98 12.616625 seconds of user run time
% 13.72/13.98 0.874147 seconds of system run time
% 13.72/13.98 [Run times include 3.58 seconds GC run time.]
% 13.72/13.98 0 calls to %EVAL
% 13.72/13.98 0 page faults and
% 13.72/13.98 939,410,432 bytes consed.
% 13.72/13.98 :PROOF-FOUND
% 13.72/13.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:52:11
% 13.72/13.98 :PROOF-FOUND
% 13.72/13.98 *
%------------------------------------------------------------------------------