TSTP Solution File: ANA018-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA018-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 19:26:42 EDT 2022
% Result : Unsatisfiable 30.71s 31.00s
% Output : Refutation 30.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 13 unt; 0 nHn; 15 RR)
% Number of literals : 32 ( 2 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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/Axioms/MSC001-0.ax',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/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
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_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Y,X)
| c_lessequals(U,Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_less(Y,Z,X)
| c_lessequals(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_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(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X),t_b),c_times(v_c,c_HOL_Oabs(v_g(X),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_less(c_0,v_ca,t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_x(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_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(2723,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_21,tfree_tcs]) ).
cnf(2746,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(2748,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(18083,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_0,2723]) ).
cnf(19022,plain,
c_lessequals(c_0,v_ca,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,2748,cls_conjecture_2]) ).
cnf(19038,plain,
~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(v_xa),t_b),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,2748,cls_conjecture_3,cls_conjecture_4]) ).
cnf(26514,plain,
c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X),t_b),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(X),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,19022,2746,cls_conjecture_1]),18083,theory(equality)]) ).
cnf(26515,plain,
$false,
inference('REWRITE',[status(thm)],[19038,26514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ANA018-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.11 % Command : run-snark %s %d
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Fri Jul 8 04:50:45 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.42 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 *
% 0.16/0.43 *
% 0.16/0.43 #<PACKAGE "SNARK-USER">
% 0.16/0.43 *
% 0.16/0.43 SNARK-TPTP-OPTIONS
% 0.16/0.43 *
% 0.16/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.43 (USE-FACTORING :POS)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.43 *
% 0.16/0.43 "."
% 0.16/0.43 *
% 0.16/0.43 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T04:50:45
% 0.16/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-08T04:50:45
% 0.72/0.92
% 0.74/0.95 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.74/0.95 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.74/0.97 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.74/1.01 WARNING:
% 0.74/1.01 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.82/1.01 WARNING:
% 0.82/1.01 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 30.71/31.00 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 30.71/31.00
% 30.71/31.00 #||
% 30.71/31.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.71/31.00 % SZS output start Refutation
% See solution above
% 30.71/31.01 ||#
% 30.71/31.01
% 30.71/31.01 ; Summary of computation:
% 30.71/31.01 ; 51147 formulas have been input or derived (from 2705 formulas).
% 30.71/31.01 ; 26515 (52%) were retained. Of these,
% 30.71/31.01 ; 3515 (13%) were simplified or subsumed later,
% 30.71/31.01 ; 23000 (87%) are still being kept.
% 30.71/31.01 ;
% 30.71/31.01 ; Run time in seconds excluding printing time:
% 30.71/31.01 ; 0.472 2% Read assertion file (1 call)
% 30.71/31.01 ; 0.064 0% Assert (2,794 calls)
% 30.71/31.01 ; 6.566 21% Process new row (48,243 calls)
% 30.71/31.01 ; 4.443 15% Resolution (5,408 calls)
% 30.71/31.01 ; 0.400 1% Paramodulation (2,704 calls)
% 30.71/31.01 ; 0.001 0% Factoring (74 calls)
% 30.71/31.01 ; 0.479 2% Condensing (18,966 calls)
% 30.71/31.01 ; 6.844 22% Forward subsumption (18,966 calls)
% 30.71/31.01 ; 3.185 10% Backward subsumption (16,009 calls)
% 30.71/31.01 ; 0.471 2% Clause clause subsumption (23,764 calls)
% 30.71/31.01 ; 4.157 14% Forward simplification (47,192 calls)
% 30.71/31.01 ; 1.667 5% Backward simplification (26,371 calls)
% 30.71/31.01 ; 1.397 5% Ordering (81,265 calls)
% 30.71/31.01 ; 0.000 0% Sortal reasoning (32 calls)
% 30.71/31.01 ; 0.024 0% Purity testing (1 call)
% 30.71/31.01 ; 0.386 1% Other
% 30.71/31.01 ; 30.556 Total
% 30.71/31.01 ; 30.574 Real time
% 30.71/31.01 ;
% 30.81/31.02 ; Term-hash-array has 65,613 terms in all.
% 30.81/31.02 ; Feature-vector-row-index has 13,938 entries (13,938 at peak, 16,009 added, 2,071 deleted).
% 30.81/31.02 ; Feature-vector-row-index has 100,266 nodes (100,266 at peak, 120,720 added, 20,454 deleted).
% 30.81/31.02 ; Retrieved 33,105 possibly forward subsuming rows in 18,966 calls.
% 30.81/31.02 ; Retrieved 11,078 possibly backward subsumed rows in 16,009 calls.
% 30.81/31.02 ; Path-index has 58,228 entries (58,232 at peak, 67,523 added, 9,295 deleted).
% 30.81/31.02 ; Path-index has 152,077 nodes (152,081 at peak, 163,585 added, 11,508 deleted).
% 30.81/31.02 ; Trie-index has 58,228 entries (58,232 at peak, 67,523 added, 9,295 deleted).
% 30.81/31.02 ; Trie-index has 427,821 nodes (427,841 at peak, 489,332 added, 61,511 deleted).
% 30.81/31.02 ; Retrieved 135,509 generalization terms in 372,713 calls.
% 30.81/31.02 ; Retrieved 18,170 instance terms in 10,908 calls.
% 30.81/31.02 ; Retrieved 3,560,076 unifiable terms in 39,935 calls.
% 30.81/31.02 ;
% 30.81/31.02 ; The agenda of rows to process has 12 entries:
% 30.81/31.02 ; 3 with value 27 8 with value 28 1 with value 35
% 30.81/31.02 ; The agenda of rows to give has 20489 entries:
% 30.81/31.02 ; 9 with value (4 7) 132 with value (4 60) 14 with value (4 113)
% 30.81/31.02 ; 72 with value (4 8) 102 with value (4 61) 5 with value (4 114)
% 30.81/31.02 ; 119 with value (4 9) 106 with value (4 62) 9 with value (4 115)
% 30.81/31.02 ; 307 with value (4 10) 98 with value (4 63) 7 with value (4 116)
% 30.81/31.02 ; 433 with value (4 11) 106 with value (4 64) 3 with value (4 117)
% 30.81/31.02 ; 518 with value (4 12) 73 with value (4 65) 7 with value (4 118)
% 30.81/31.02 ; 680 with value (4 13) 104 with value (4 66) 11 with value (4 119)
% 30.81/31.02 ; 297 with value (4 14) 123 with value (4 67) 10 with value (4 120)
% 30.81/31.02 ; 283 with value (4 15) 85 with value (4 68) 2 with value (4 121)
% 30.81/31.02 ; 283 with value (4 16) 111 with value (4 69) 5 with value (4 122)
% 30.81/31.02 ; 364 with value (4 17) 108 with value (4 70) 2 with value (4 123)
% 30.81/31.02 ; 333 with value (4 18) 105 with value (4 71) 12 with value (4 124)
% 30.81/31.02 ; 354 with value (4 19) 109 with value (4 72) 4 with value (4 125)
% 30.81/31.02 ; 357 with value (4 20) 85 with value (4 73) 2 with value (4 126)
% 30.81/31.02 ; 421 with value (4 21) 105 with value (4 74) 2 with value (4 127)
% 30.81/31.02 ; 455 with value (4 22) 115 with value (4 75) 3 with value (4 128)
% 30.81/31.02 ; 479 with value (4 23) 79 with value (4 76) 3 with value (4 129)
% 30.81/31.02 ; 492 with value (4 24) 82 with value (4 77) 2 with value (4 131)
% 30.81/31.02 ; 499 with value (4 25) 55 with value (4 78) 4 with value (4 133)
% 30.81/31.02 ; 428 with value (4 26) 95 with value (4 79) 5 with value (4 134)
% 30.81/31.02 ; 472 with value (4 27) 85 with value (4 80) 2 with value (4 137)
% 30.81/31.02 ; 405 with value (4 28) 75 with value (4 81) 2 with value (4 138)
% 30.81/31.02 ; 569 with value (4 29) 75 with value (4 82) 1 with value (4 140)
% 30.81/31.02 ; 560 with value (4 30) 62 with value (4 83) 2 with value (4 141)
% 30.81/31.02 ; 515 with value (4 31) 56 with value (4 84) 4 with value (4 142)
% 30.81/31.02 ; 591 with value (4 32) 55 with value (4 85) 1 with value (4 145)
% 30.81/31.02 ; 455 with value (4 33) 39 with value (4 86) 2 with value (4 147)
% 30.81/31.02 ; 484 with value (4 34) 51 with value (4 87) 3 with value (4 149)
% 30.81/31.02 ; 400 with value (4 35) 42 with value (4 88) 5 with value (4 152)
% 30.81/31.02 ; 348 with value (4 36) 22 with value (4 89) 1 with value (4 153)
% 30.81/31.02 ; 393 with value (4 37) 37 with value (4 90) 2 with value (4 154)
% 30.81/31.02 ; 404 with value (4 38) 47 with value (4 91) 1 with value (4 157)
% 30.81/31.02 ; 434 with value (4 39) 19 with value (4 92) 3 with value (4 164)
% 30.81/31.02 ; 378 with value (4 40) 45 with value (4 93) 1 with value (4 165)
% 30.81/31.02 ; 355 with value (4 41) 36 with value (4 94) 1 with value (4 169)
% 30.81/31.02 ; 319 with value (4 42) 38 with value (4 95) 2 with value (4 171)
% 30.81/31.02 ; 229 with value (4 43) 30 with value (4 96) 2 with value (4 176)
% 30.81/31.02 ; 225 with value (4 44) 24 with value (4 97) 2 with value (4 178)
% 30.81/31.02 ; 207 with value (4 45) 20 with value (4 98) 4 with value (4 180)
% 30.81/31.02 ; 184 with value (4 46) 30 with value (4 99) 1 with value (4 185)
% 30.81/31.02 ; 168 with value (4 47) 29 with value (4 100) 2 with value (4 186)
% 30.81/31.02 ; 204 with value (4 48) 19 with value (4 101) 2 with value (4 195)
% 30.81/31.02 ; 218 with value (4 49) 11 with value (4 102) 1 with value (4 202)
% 30.81/31.02 ; 168 with value (4 50) 16 with value (4 103) 2 with value (4 203)
% 30.81/31.02 ; 202 with value (4 51) 12 with value (4 104) 2 with value (4 205)
% 30.81/31.02 ; 227 with value (4 52) 24 with value (4 105) 1 with value (4 208)
% 30.81/31.02 ; 164 with value (4 53) 7 with value (4 106) 2 with value (4 213)
% 30.81/31.02 ; 150 with value (4 54) 10 with value (4 107) 2 with value (4 220)
% 30.81/31.02 ; 134 with value (4 55) 13 with value (4 108) 1 with value (4 225)
% 30.81/31.02 ; 135 with value (4 56) 25 with value (4 109) 2 with value (4 244)
% 30.81/31.02 ; 121 with value (4 57) 12 with value (4 110) 2 with value (4 274)
% 30.81/31.02 ; 140 with value (4 58) 10 with value (4 111) 1 with value (4 321)
% 30.81/31.02 ; 101 with value (4 59) 19 with value (4 112)
% 30.81/31.02 Evaluation took:
% 30.81/31.02 30.588 seconds of real time
% 30.81/31.02 28.77518 seconds of user run time
% 30.81/31.02 1.796475 seconds of system run time
% 30.81/31.02 [Run times include 8.57 seconds GC run time.]
% 30.81/31.02 0 calls to %EVAL
% 30.81/31.02 0 page faults and
% 30.81/31.02 1,346,847,800 bytes consed.
% 30.81/31.02 :PROOF-FOUND
% 30.81/31.02 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T04:51:15
% 30.81/31.02 :PROOF-FOUND
% 30.81/31.02 *
%------------------------------------------------------------------------------