TSTP Solution File: ANA043-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA043-1 : 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 19:27:00 EDT 2022
% Result : Unsatisfiable 14.18s 14.36s
% Output : Refutation 14.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 2 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__semigroup__mult(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_17) ).
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_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_OrderedGroup_Omult__left__commute_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X)
| c_times(Y,c_times(Z,U,X),X) = c_times(Z,c_times(Y,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__left__commute_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_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X),t_b),c_times(v_c,c_HOL_Oabs(v_h(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_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X),v_xa(X))),t_b),t_b),c_times(X,c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X),v_xa(X))),t_b),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(2711,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_17,tfree_tcs]) ).
cnf(2739,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_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(18038,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(Y,c_times(X,Z,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omult__left__commute_0,2711]) ).
cnf(18039,plain,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X),v_xa(X))),t_b),t_b),c_times(c_HOL_Oabs(v_l(v_x(X),v_xa(X)),t_b),c_times(X,c_HOL_Oabs(v_h(v_k(v_x(X),v_xa(X))),t_b),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[cls_conjecture_1,18038,theory(equality)]) ).
cnf(18958,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,2739,cls_conjecture_0,18039]) ).
cnf(19008,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,2748]) ).
cnf(19009,plain,
$false,
inference('REWRITE',[status(thm)],[18958,19008]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA043-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 06:21:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:21:43
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-08T06:21:43
% 0.64/0.81
% 0.64/0.83 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.64/0.83 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.64/0.84 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87 WARNING:
% 0.67/0.87 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 14.18/14.36 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 14.18/14.36
% 14.18/14.36 #||
% 14.18/14.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.18/14.36 % SZS output start Refutation
% See solution above
% 14.18/14.36 ||#
% 14.18/14.36
% 14.18/14.36 ; Summary of computation:
% 14.18/14.36 ; 37867 formulas have been input or derived (from 2558 formulas).
% 14.18/14.36 ; 19009 (50%) were retained. Of these,
% 14.18/14.36 ; 3216 (17%) were simplified or subsumed later,
% 14.18/14.36 ; 15793 (83%) are still being kept.
% 14.18/14.36 ;
% 14.18/14.36 ; Run time in seconds excluding printing time:
% 14.18/14.36 ; 0.330 2% Read assertion file (1 call)
% 14.18/14.36 ; 0.043 0% Assert (2,787 calls)
% 14.18/14.36 ; 2.688 19% Process new row (35,360 calls)
% 14.18/14.36 ; 1.769 13% Resolution (5,114 calls)
% 14.18/14.36 ; 0.380 3% Paramodulation (2,557 calls)
% 14.18/14.36 ; 0.000 0% Factoring (74 calls)
% 14.18/14.36 ; 0.227 2% Condensing (14,104 calls)
% 14.18/14.36 ; 3.487 25% Forward subsumption (14,104 calls)
% 14.18/14.36 ; 1.393 10% Backward subsumption (11,561 calls)
% 14.18/14.36 ; 0.100 1% Clause clause subsumption (17,695 calls)
% 14.18/14.36 ; 2.106 15% Forward simplification (34,310 calls)
% 14.18/14.36 ; 0.654 5% Backward simplification (18,865 calls)
% 14.18/14.36 ; 0.537 4% Ordering (63,721 calls)
% 14.18/14.36 ; 0.000 0% Sortal reasoning (32 calls)
% 14.18/14.36 ; 0.012 0% Purity testing (1 call)
% 14.18/14.36 ; 0.165 1% Other
% 14.18/14.36 ; 13.891 Total
% 14.18/14.36 ; 13.892 Real time
% 14.18/14.36 ;
% 14.20/14.37 ; Term-hash-array has 50,557 terms in all.
% 14.20/14.37 ; Feature-vector-row-index has 9,656 entries (9,656 at peak, 11,561 added, 1,905 deleted).
% 14.20/14.37 ; Feature-vector-row-index has 79,827 nodes (79,827 at peak, 97,919 added, 18,092 deleted).
% 14.20/14.37 ; Retrieved 28,026 possibly forward subsuming rows in 14,104 calls.
% 14.20/14.37 ; Retrieved 8,515 possibly backward subsumed rows in 11,561 calls.
% 14.20/14.37 ; Path-index has 43,726 entries (43,731 at peak, 52,215 added, 8,489 deleted).
% 14.20/14.37 ; Path-index has 147,017 nodes (147,025 at peak, 157,973 added, 10,956 deleted).
% 14.20/14.37 ; Trie-index has 43,726 entries (43,731 at peak, 52,215 added, 8,489 deleted).
% 14.20/14.37 ; Trie-index has 346,211 nodes (346,227 at peak, 403,114 added, 56,903 deleted).
% 14.20/14.37 ; Retrieved 113,626 generalization terms in 305,320 calls.
% 14.20/14.37 ; Retrieved 13,769 instance terms in 7,829 calls.
% 14.20/14.37 ; Retrieved 2,161,653 unifiable terms in 29,640 calls.
% 14.20/14.37 ;
% 14.20/14.37 ; The agenda of rows to process has 18 entries:
% 14.20/14.37 ; 6 with value 10 2 with value 12 7 with value 14
% 14.20/14.37 ; 1 with value 11 1 with value 13 1 with value 25
% 14.20/14.37 ; The agenda of rows to give has 13429 entries:
% 14.20/14.37 ; 13 with value (4 4) 79 with value (4 57) 12 with value (4 110)
% 14.20/14.37 ; 10 with value (4 5) 70 with value (4 58) 10 with value (4 111)
% 14.20/14.37 ; 41 with value (4 6) 71 with value (4 59) 13 with value (4 112)
% 14.20/14.37 ; 67 with value (4 7) 107 with value (4 60) 13 with value (4 113)
% 14.20/14.37 ; 67 with value (4 8) 76 with value (4 61) 4 with value (4 114)
% 14.20/14.37 ; 78 with value (4 9) 86 with value (4 62) 9 with value (4 115)
% 14.20/14.37 ; 129 with value (4 10) 86 with value (4 63) 5 with value (4 116)
% 14.20/14.37 ; 95 with value (4 11) 98 with value (4 64) 3 with value (4 117)
% 14.20/14.37 ; 156 with value (4 12) 64 with value (4 65) 7 with value (4 118)
% 14.20/14.37 ; 152 with value (4 13) 84 with value (4 66) 11 with value (4 119)
% 14.20/14.37 ; 214 with value (4 14) 108 with value (4 67) 4 with value (4 120)
% 14.20/14.37 ; 213 with value (4 15) 80 with value (4 68) 2 with value (4 121)
% 14.20/14.37 ; 213 with value (4 16) 86 with value (4 69) 5 with value (4 122)
% 14.20/14.37 ; 289 with value (4 17) 83 with value (4 70) 2 with value (4 123)
% 14.20/14.37 ; 260 with value (4 18) 91 with value (4 71) 6 with value (4 124)
% 14.20/14.37 ; 284 with value (4 19) 88 with value (4 72) 2 with value (4 125)
% 14.20/14.37 ; 286 with value (4 20) 66 with value (4 73) 2 with value (4 126)
% 14.20/14.37 ; 321 with value (4 21) 82 with value (4 74) 2 with value (4 127)
% 14.20/14.37 ; 312 with value (4 22) 74 with value (4 75) 3 with value (4 128)
% 14.20/14.37 ; 321 with value (4 23) 68 with value (4 76) 3 with value (4 129)
% 14.20/14.37 ; 353 with value (4 24) 73 with value (4 77) 2 with value (4 131)
% 14.20/14.37 ; 340 with value (4 25) 53 with value (4 78) 4 with value (4 133)
% 14.20/14.37 ; 303 with value (4 26) 65 with value (4 79) 5 with value (4 134)
% 14.20/14.37 ; 310 with value (4 27) 65 with value (4 80) 2 with value (4 137)
% 14.20/14.37 ; 311 with value (4 28) 43 with value (4 81) 2 with value (4 138)
% 14.20/14.37 ; 392 with value (4 29) 43 with value (4 82) 1 with value (4 140)
% 14.20/14.37 ; 310 with value (4 30) 32 with value (4 83) 2 with value (4 141)
% 14.20/14.37 ; 312 with value (4 31) 38 with value (4 84) 1 with value (4 142)
% 14.20/14.37 ; 313 with value (4 32) 48 with value (4 85) 1 with value (4 145)
% 14.20/14.37 ; 256 with value (4 33) 33 with value (4 86) 5 with value (4 152)
% 14.20/14.37 ; 258 with value (4 34) 41 with value (4 87) 2 with value (4 154)
% 14.20/14.37 ; 283 with value (4 35) 36 with value (4 88) 1 with value (4 157)
% 14.20/14.37 ; 193 with value (4 36) 21 with value (4 89) 3 with value (4 164)
% 14.20/14.37 ; 275 with value (4 37) 35 with value (4 90) 1 with value (4 165)
% 14.20/14.37 ; 233 with value (4 38) 29 with value (4 91) 1 with value (4 169)
% 14.20/14.37 ; 240 with value (4 39) 13 with value (4 92) 2 with value (4 171)
% 14.20/14.37 ; 206 with value (4 40) 43 with value (4 93) 2 with value (4 176)
% 14.20/14.37 ; 213 with value (4 41) 21 with value (4 94) 2 with value (4 178)
% 14.20/14.37 ; 193 with value (4 42) 25 with value (4 95) 4 with value (4 180)
% 14.20/14.37 ; 149 with value (4 43) 30 with value (4 96) 1 with value (4 185)
% 14.20/14.37 ; 175 with value (4 44) 24 with value (4 97) 2 with value (4 186)
% 14.20/14.37 ; 150 with value (4 45) 7 with value (4 98) 2 with value (4 195)
% 14.20/14.37 ; 131 with value (4 46) 27 with value (4 99) 1 with value (4 202)
% 14.20/14.37 ; 118 with value (4 47) 15 with value (4 100) 2 with value (4 203)
% 14.20/14.37 ; 142 with value (4 48) 15 with value (4 101) 2 with value (4 205)
% 14.20/14.37 ; 121 with value (4 49) 9 with value (4 102) 1 with value (4 208)
% 14.20/14.37 ; 104 with value (4 50) 14 with value (4 103) 2 with value (4 213)
% 14.20/14.37 ; 100 with value (4 51) 10 with value (4 104) 2 with value (4 220)
% 14.20/14.37 ; 177 with value (4 52) 24 with value (4 105) 1 with value (4 225)
% 14.20/14.37 ; 120 with value (4 53) 7 with value (4 106) 2 with value (4 244)
% 14.20/14.37 ; 109 with value (4 54) 10 with value (4 107) 2 with value (4 274)
% 14.20/14.37 ; 96 with value (4 55) 13 with value (4 108) 1 with value (4 321)
% 14.20/14.37 ; 112 with value (4 56) 19 with value (4 109)
% 14.20/14.37 Evaluation took:
% 14.20/14.37 13.902 seconds of real time
% 14.20/14.37 13.028259 seconds of user run time
% 14.20/14.37 0.875222 seconds of system run time
% 14.20/14.37 [Run times include 3.819 seconds GC run time.]
% 14.20/14.37 0 calls to %EVAL
% 14.20/14.37 0 page faults and
% 14.20/14.37 975,726,936 bytes consed.
% 14.20/14.37 :PROOF-FOUND
% 14.20/14.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:21:56
% 14.20/14.37 :PROOF-FOUND
% 14.20/14.37 *
%------------------------------------------------------------------------------