TSTP Solution File: ANA044-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA044-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 19:27:00 EDT 2022
% Result : Unsatisfiable 30.34s 30.66s
% Output : Refutation 30.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 19 ( 2 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 6 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/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__cancel__semiring(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).
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/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X)
| ~ c_lessequals(c_0,Y,X)
| ~ c_lessequals(c_0,Z,X)
| c_lessequals(c_0,c_times(Z,Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_0,v_l(X,Y),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,v_h(X),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(2738,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40,tfree_tcs]) ).
cnf(2749,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(19145,plain,
c_lessequals(c_0,c_times(v_l(X,Y),v_h(Z),t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0,2738,cls_conjecture_1,cls_conjecture_0]) ).
cnf(19208,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonneg_0,2749,cls_conjecture_3]),19145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA044-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 04:20:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-08T04:20:14
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-08T04:20:14
% 0.79/1.01
% 0.87/1.04 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.87/1.04 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.87/1.06 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.91/1.11 WARNING:
% 0.91/1.11 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 30.34/30.66 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 30.34/30.66
% 30.34/30.66 #||
% 30.34/30.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.34/30.66 % SZS output start Refutation
% See solution above
% 30.44/30.76 ||#
% 30.44/30.76
% 30.44/30.76 ; Summary of computation:
% 30.44/30.76 ; 38292 formulas have been input or derived (from 2558 formulas).
% 30.44/30.76 ; 19208 (50%) were retained. Of these,
% 30.44/30.76 ; 3239 (17%) were simplified or subsumed later,
% 30.44/30.76 ; 15969 (83%) are still being kept.
% 30.44/30.76 ;
% 30.44/30.76 ; Run time in seconds excluding printing time:
% 30.44/30.76 ; 0.532 2% Read assertion file (1 call)
% 30.44/30.76 ; 0.062 0% Assert (2,788 calls)
% 30.44/30.76 ; 7.186 24% Process new row (35,723 calls)
% 30.44/30.76 ; 4.664 16% Resolution (5,114 calls)
% 30.44/30.76 ; 0.402 1% Paramodulation (2,557 calls)
% 30.44/30.76 ; 0.001 0% Factoring (74 calls)
% 30.44/30.76 ; 0.419 1% Condensing (14,130 calls)
% 30.44/30.76 ; 5.509 18% Forward subsumption (14,130 calls)
% 30.44/30.76 ; 2.480 8% Backward subsumption (11,586 calls)
% 30.44/30.76 ; 0.326 1% Clause clause subsumption (17,684 calls)
% 30.44/30.76 ; 5.159 17% Forward simplification (34,671 calls)
% 30.44/30.76 ; 1.726 6% Backward simplification (19,064 calls)
% 30.44/30.76 ; 1.217 4% Ordering (63,897 calls)
% 30.44/30.76 ; 0.001 0% Sortal reasoning (32 calls)
% 30.44/30.76 ; 0.024 0% Purity testing (1 call)
% 30.44/30.76 ; 0.364 1% Other
% 30.44/30.76 ; 30.072 Total
% 30.44/30.76 ; 30.296 Real time
% 30.44/30.76 ;
% 30.44/30.78 ; Term-hash-array has 51,172 terms in all.
% 30.44/30.78 ; Feature-vector-row-index has 9,674 entries (9,674 at peak, 11,586 added, 1,912 deleted).
% 30.44/30.78 ; Feature-vector-row-index has 80,111 nodes (80,111 at peak, 98,299 added, 18,188 deleted).
% 30.44/30.78 ; Retrieved 28,012 possibly forward subsuming rows in 14,130 calls.
% 30.44/30.78 ; Retrieved 8,525 possibly backward subsumed rows in 11,586 calls.
% 30.44/30.78 ; Path-index has 44,264 entries (44,264 at peak, 52,840 added, 8,576 deleted).
% 30.44/30.78 ; Path-index has 150,027 nodes (150,027 at peak, 161,174 added, 11,147 deleted).
% 30.44/30.78 ; Trie-index has 44,264 entries (44,264 at peak, 52,840 added, 8,576 deleted).
% 30.44/30.78 ; Trie-index has 351,934 nodes (351,934 at peak, 409,804 added, 57,870 deleted).
% 30.44/30.78 ; Retrieved 114,487 generalization terms in 307,652 calls.
% 30.44/30.78 ; Retrieved 14,020 instance terms in 8,000 calls.
% 30.44/30.78 ; Retrieved 2,220,446 unifiable terms in 29,833 calls.
% 30.44/30.78 ;
% 30.44/30.78 ; The agenda of rows to process has 1 entry:
% 30.44/30.78 ; 1 with value 25
% 30.44/30.78 ; The agenda of rows to give has 13604 entries:
% 30.44/30.78 ; 13 with value (4 4) 81 with value (4 57) 12 with value (4 110)
% 30.44/30.78 ; 10 with value (4 5) 74 with value (4 58) 10 with value (4 111)
% 30.44/30.78 ; 41 with value (4 6) 70 with value (4 59) 13 with value (4 112)
% 30.44/30.78 ; 68 with value (4 7) 106 with value (4 60) 13 with value (4 113)
% 30.44/30.78 ; 67 with value (4 8) 77 with value (4 61) 4 with value (4 114)
% 30.44/30.78 ; 79 with value (4 9) 89 with value (4 62) 9 with value (4 115)
% 30.44/30.78 ; 130 with value (4 10) 86 with value (4 63) 5 with value (4 116)
% 30.44/30.78 ; 97 with value (4 11) 98 with value (4 64) 3 with value (4 117)
% 30.44/30.78 ; 165 with value (4 12) 64 with value (4 65) 7 with value (4 118)
% 30.44/30.78 ; 157 with value (4 13) 84 with value (4 66) 11 with value (4 119)
% 30.44/30.78 ; 226 with value (4 14) 108 with value (4 67) 4 with value (4 120)
% 30.44/30.78 ; 226 with value (4 15) 80 with value (4 68) 2 with value (4 121)
% 30.44/30.78 ; 222 with value (4 16) 86 with value (4 69) 5 with value (4 122)
% 30.44/30.78 ; 293 with value (4 17) 83 with value (4 70) 2 with value (4 123)
% 30.44/30.78 ; 263 with value (4 18) 91 with value (4 71) 6 with value (4 124)
% 30.44/30.78 ; 283 with value (4 19) 87 with value (4 72) 2 with value (4 125)
% 30.44/30.78 ; 285 with value (4 20) 67 with value (4 73) 2 with value (4 126)
% 30.44/30.78 ; 320 with value (4 21) 82 with value (4 74) 2 with value (4 127)
% 30.44/30.78 ; 309 with value (4 22) 75 with value (4 75) 3 with value (4 128)
% 30.44/30.78 ; 323 with value (4 23) 68 with value (4 76) 3 with value (4 129)
% 30.44/30.78 ; 354 with value (4 24) 73 with value (4 77) 2 with value (4 131)
% 30.44/30.78 ; 336 with value (4 25) 53 with value (4 78) 4 with value (4 133)
% 30.44/30.78 ; 304 with value (4 26) 65 with value (4 79) 5 with value (4 134)
% 30.44/30.78 ; 310 with value (4 27) 66 with value (4 80) 2 with value (4 137)
% 30.44/30.78 ; 311 with value (4 28) 43 with value (4 81) 2 with value (4 138)
% 30.44/30.78 ; 394 with value (4 29) 43 with value (4 82) 1 with value (4 140)
% 30.44/30.78 ; 310 with value (4 30) 32 with value (4 83) 2 with value (4 141)
% 30.44/30.78 ; 315 with value (4 31) 38 with value (4 84) 1 with value (4 142)
% 30.44/30.78 ; 332 with value (4 32) 48 with value (4 85) 1 with value (4 145)
% 30.44/30.78 ; 264 with value (4 33) 33 with value (4 86) 5 with value (4 152)
% 30.44/30.78 ; 269 with value (4 34) 41 with value (4 87) 2 with value (4 154)
% 30.44/30.78 ; 288 with value (4 35) 36 with value (4 88) 1 with value (4 157)
% 30.44/30.78 ; 200 with value (4 36) 21 with value (4 89) 3 with value (4 164)
% 30.44/30.78 ; 278 with value (4 37) 35 with value (4 90) 1 with value (4 165)
% 30.44/30.78 ; 235 with value (4 38) 29 with value (4 91) 1 with value (4 169)
% 30.44/30.78 ; 244 with value (4 39) 13 with value (4 92) 2 with value (4 171)
% 30.44/30.78 ; 212 with value (4 40) 43 with value (4 93) 2 with value (4 176)
% 30.44/30.78 ; 220 with value (4 41) 21 with value (4 94) 2 with value (4 178)
% 30.44/30.78 ; 201 with value (4 42) 25 with value (4 95) 4 with value (4 180)
% 30.44/30.78 ; 156 with value (4 43) 30 with value (4 96) 1 with value (4 185)
% 30.44/30.78 ; 178 with value (4 44) 24 with value (4 97) 2 with value (4 186)
% 30.44/30.78 ; 153 with value (4 45) 7 with value (4 98) 2 with value (4 195)
% 30.44/30.78 ; 133 with value (4 46) 27 with value (4 99) 1 with value (4 202)
% 30.44/30.78 ; 121 with value (4 47) 15 with value (4 100) 2 with value (4 203)
% 30.44/30.78 ; 151 with value (4 48) 15 with value (4 101) 2 with value (4 205)
% 30.44/30.78 ; 121 with value (4 49) 9 with value (4 102) 1 with value (4 208)
% 30.44/30.78 ; 107 with value (4 50) 14 with value (4 103) 2 with value (4 213)
% 30.44/30.78 ; 95 with value (4 51) 10 with value (4 104) 2 with value (4 220)
% 30.44/30.78 ; 175 with value (4 52) 24 with value (4 105) 1 with value (4 225)
% 30.44/30.78 ; 120 with value (4 53) 7 with value (4 106) 2 with value (4 244)
% 30.44/30.78 ; 109 with value (4 54) 10 with value (4 107) 2 with value (4 274)
% 30.44/30.78 ; 97 with value (4 55) 13 with value (4 108) 1 with value (4 321)
% 30.44/30.78 ; 114 with value (4 56) 19 with value (4 109)
% 30.44/30.78 Evaluation took:
% 30.44/30.78 30.313 seconds of real time
% 30.44/30.78 28.527275 seconds of user run time
% 30.44/30.78 1.658063 seconds of system run time
% 30.44/30.78 [Run times include 7.714 seconds GC run time.]
% 30.44/30.78 0 calls to %EVAL
% 30.44/30.78 0 page faults and
% 30.44/30.78 984,029,392 bytes consed.
% 30.44/30.78 :PROOF-FOUND
% 30.44/30.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T04:20:45
% 30.44/30.78 :PROOF-FOUND
% 30.44/30.78 *
%------------------------------------------------------------------------------