TSTP Solution File: ANA009-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA009-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 19:26:35 EDT 2022
% Result : Unsatisfiable 14.05s 14.28s
% Output : Refutation 14.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 27 ( 6 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Odiff__le__0__iff__le_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(Y,Z,X)
| c_lessequals(c_minus(Y,Z,X),c_0,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).
cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(Y,c_uminus(Z,X),X) = c_plus(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_uminus(c_minus(Y,Z,X),X) = c_minus(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__diff__eq_0) ).
cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_uminus(c_uminus(Y,X),X) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__minus_0) ).
cnf(cls_OrderedGroup_Oneg__le__0__iff__le_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(c_uminus(Y,X),c_0,X)
| c_lessequals(c_0,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__0__iff__le_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Opordered__ab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_lb(X),v_f(X),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(2735,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(2751,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(18733,plain,
c_uminus(c_uminus(X,t_b),t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__minus_0,2735]) ).
cnf(18750,plain,
c_uminus(c_minus(X,Y,t_b),t_b) = c_minus(Y,X,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__diff__eq_0,2735]) ).
cnf(18751,plain,
c_minus(X,c_uminus(Y,t_b),t_b) = c_plus(X,Y,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__minus__eq__add_0,2735]) ).
cnf(18922,plain,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_lb(v_x),t_b),t_b),
inference('REWRITE',[status(thm)],[cls_conjecture_2,18733,18751,theory(equality)]) ).
cnf(19047,plain,
c_lessequals(c_minus(v_lb(X),v_f(X),t_b),c_0,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__le__0__iff__le_1,2751,cls_conjecture_0]) ).
cnf(19049,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Oneg__le__0__iff__le_0,2751,18922]),19047,18750,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA009-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n025.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 05:28:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-08T05:28:14
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-08T05:28:14
% 0.61/0.84
% 0.61/0.86 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.61/0.86 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.70/0.87 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.90 WARNING:
% 0.72/0.90 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 14.05/14.28 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 14.05/14.28
% 14.05/14.28 #||
% 14.05/14.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.05/14.28 % SZS output start Refutation
% See solution above
% 14.05/14.28 ||#
% 14.05/14.28
% 14.05/14.28 ; Summary of computation:
% 14.05/14.28 ; 38092 formulas have been input or derived (from 2562 formulas).
% 14.05/14.28 ; 19049 (50%) were retained. Of these,
% 14.05/14.28 ; 3234 (17%) were simplified or subsumed later,
% 14.05/14.28 ; 15815 (83%) are still being kept.
% 14.05/14.28 ;
% 14.05/14.28 ; Run time in seconds excluding printing time:
% 14.05/14.28 ; 0.336 2% Read assertion file (1 call)
% 14.05/14.28 ; 0.041 0% Assert (2,786 calls)
% 14.05/14.28 ; 2.999 22% Process new row (35,591 calls)
% 14.05/14.28 ; 1.842 13% Resolution (5,122 calls)
% 14.05/14.28 ; 0.167 1% Paramodulation (2,561 calls)
% 14.05/14.28 ; 0.000 0% Factoring (74 calls)
% 14.05/14.28 ; 0.240 2% Condensing (14,082 calls)
% 14.05/14.28 ; 2.955 21% Forward subsumption (14,082 calls)
% 14.05/14.28 ; 1.736 13% Backward subsumption (11,546 calls)
% 14.05/14.28 ; 0.124 1% Clause clause subsumption (17,633 calls)
% 14.05/14.28 ; 2.139 16% Forward simplification (34,541 calls)
% 14.05/14.28 ; 0.394 3% Backward simplification (18,905 calls)
% 14.05/14.28 ; 0.609 4% Ordering (63,643 calls)
% 14.05/14.28 ; 0.000 0% Sortal reasoning (32 calls)
% 14.05/14.28 ; 0.014 0% Purity testing (1 call)
% 14.05/14.28 ; 0.194 1% Other
% 14.05/14.28 ; 13.790 Total
% 14.05/14.28 ; 13.794 Real time
% 14.05/14.28 ;
% 14.12/14.29 ; Term-hash-array has 50,607 terms in all.
% 14.12/14.29 ; Feature-vector-row-index has 9,641 entries (9,641 at peak, 11,546 added, 1,905 deleted).
% 14.12/14.29 ; Feature-vector-row-index has 79,486 nodes (79,486 at peak, 97,577 added, 18,091 deleted).
% 14.12/14.29 ; Retrieved 29,167 possibly forward subsuming rows in 14,082 calls.
% 14.12/14.29 ; Retrieved 8,645 possibly backward subsumed rows in 11,546 calls.
% 14.12/14.29 ; Path-index has 43,741 entries (43,741 at peak, 52,265 added, 8,524 deleted).
% 14.12/14.29 ; Path-index has 145,943 nodes (145,943 at peak, 156,920 added, 10,977 deleted).
% 14.12/14.29 ; Trie-index has 43,741 entries (43,741 at peak, 52,265 added, 8,524 deleted).
% 14.12/14.29 ; Trie-index has 345,657 nodes (345,657 at peak, 402,755 added, 57,098 deleted).
% 14.12/14.29 ; Retrieved 113,958 generalization terms in 305,382 calls.
% 14.12/14.29 ; Retrieved 13,820 instance terms in 7,881 calls.
% 14.12/14.29 ; Retrieved 2,168,930 unifiable terms in 29,995 calls.
% 14.12/14.29 ;
% 14.12/14.29 ; The agenda of rows to process has 4 entries:
% 14.12/14.29 ; 1 with value 18 1 with value 22 1 with value 23
% 14.12/14.29 ; 1 with value 19
% 14.12/14.29 ; The agenda of rows to give has 13448 entries:
% 14.12/14.29 ; 9 with value (4 4) 79 with value (4 57) 12 with value (4 110)
% 14.12/14.29 ; 10 with value (4 5) 70 with value (4 58) 10 with value (4 111)
% 14.12/14.29 ; 41 with value (4 6) 70 with value (4 59) 13 with value (4 112)
% 14.12/14.29 ; 68 with value (4 7) 106 with value (4 60) 13 with value (4 113)
% 14.12/14.29 ; 67 with value (4 8) 76 with value (4 61) 4 with value (4 114)
% 14.12/14.29 ; 80 with value (4 9) 86 with value (4 62) 9 with value (4 115)
% 14.12/14.29 ; 132 with value (4 10) 86 with value (4 63) 5 with value (4 116)
% 14.12/14.29 ; 96 with value (4 11) 98 with value (4 64) 3 with value (4 117)
% 14.12/14.29 ; 158 with value (4 12) 64 with value (4 65) 7 with value (4 118)
% 14.12/14.29 ; 158 with value (4 13) 84 with value (4 66) 11 with value (4 119)
% 14.12/14.29 ; 220 with value (4 14) 108 with value (4 67) 4 with value (4 120)
% 14.12/14.29 ; 216 with value (4 15) 80 with value (4 68) 2 with value (4 121)
% 14.12/14.29 ; 220 with value (4 16) 86 with value (4 69) 5 with value (4 122)
% 14.12/14.29 ; 294 with value (4 17) 83 with value (4 70) 2 with value (4 123)
% 14.12/14.29 ; 263 with value (4 18) 91 with value (4 71) 6 with value (4 124)
% 14.12/14.29 ; 282 with value (4 19) 87 with value (4 72) 2 with value (4 125)
% 14.12/14.29 ; 294 with value (4 20) 66 with value (4 73) 2 with value (4 126)
% 14.12/14.29 ; 323 with value (4 21) 82 with value (4 74) 2 with value (4 127)
% 14.12/14.29 ; 310 with value (4 22) 73 with value (4 75) 3 with value (4 128)
% 14.12/14.29 ; 325 with value (4 23) 68 with value (4 76) 3 with value (4 129)
% 14.12/14.29 ; 357 with value (4 24) 73 with value (4 77) 2 with value (4 131)
% 14.12/14.29 ; 334 with value (4 25) 52 with value (4 78) 4 with value (4 133)
% 14.12/14.29 ; 302 with value (4 26) 65 with value (4 79) 5 with value (4 134)
% 14.12/14.29 ; 311 with value (4 27) 65 with value (4 80) 2 with value (4 137)
% 14.12/14.29 ; 313 with value (4 28) 43 with value (4 81) 2 with value (4 138)
% 14.12/14.29 ; 393 with value (4 29) 43 with value (4 82) 1 with value (4 140)
% 14.12/14.29 ; 309 with value (4 30) 32 with value (4 83) 2 with value (4 141)
% 14.12/14.29 ; 311 with value (4 31) 38 with value (4 84) 1 with value (4 142)
% 14.12/14.29 ; 313 with value (4 32) 48 with value (4 85) 1 with value (4 145)
% 14.12/14.29 ; 256 with value (4 33) 33 with value (4 86) 5 with value (4 152)
% 14.12/14.29 ; 259 with value (4 34) 41 with value (4 87) 2 with value (4 154)
% 14.12/14.29 ; 283 with value (4 35) 36 with value (4 88) 1 with value (4 157)
% 14.12/14.29 ; 192 with value (4 36) 21 with value (4 89) 3 with value (4 164)
% 14.12/14.29 ; 275 with value (4 37) 35 with value (4 90) 1 with value (4 165)
% 14.12/14.29 ; 233 with value (4 38) 29 with value (4 91) 1 with value (4 169)
% 14.12/14.29 ; 241 with value (4 39) 13 with value (4 92) 2 with value (4 171)
% 14.12/14.29 ; 206 with value (4 40) 43 with value (4 93) 2 with value (4 176)
% 14.12/14.29 ; 213 with value (4 41) 21 with value (4 94) 2 with value (4 178)
% 14.12/14.29 ; 193 with value (4 42) 25 with value (4 95) 4 with value (4 180)
% 14.12/14.29 ; 149 with value (4 43) 30 with value (4 96) 1 with value (4 185)
% 14.12/14.29 ; 175 with value (4 44) 24 with value (4 97) 2 with value (4 186)
% 14.12/14.29 ; 150 with value (4 45) 7 with value (4 98) 2 with value (4 195)
% 14.12/14.29 ; 131 with value (4 46) 27 with value (4 99) 1 with value (4 202)
% 14.12/14.29 ; 116 with value (4 47) 15 with value (4 100) 2 with value (4 203)
% 14.12/14.29 ; 142 with value (4 48) 15 with value (4 101) 2 with value (4 205)
% 14.12/14.29 ; 121 with value (4 49) 9 with value (4 102) 1 with value (4 208)
% 14.12/14.29 ; 103 with value (4 50) 14 with value (4 103) 2 with value (4 213)
% 14.12/14.29 ; 95 with value (4 51) 10 with value (4 104) 2 with value (4 220)
% 14.12/14.29 ; 171 with value (4 52) 24 with value (4 105) 1 with value (4 225)
% 14.12/14.29 ; 121 with value (4 53) 7 with value (4 106) 2 with value (4 244)
% 14.12/14.29 ; 103 with value (4 54) 10 with value (4 107) 2 with value (4 274)
% 14.12/14.29 ; 95 with value (4 55) 13 with value (4 108) 1 with value (4 321)
% 14.12/14.29 ; 111 with value (4 56) 19 with value (4 109)
% 14.12/14.29 Evaluation took:
% 14.12/14.29 13.803 seconds of real time
% 14.12/14.29 12.949831 seconds of user run time
% 14.12/14.29 0.85194 seconds of system run time
% 14.12/14.29 [Run times include 3.637 seconds GC run time.]
% 14.12/14.29 0 calls to %EVAL
% 14.12/14.29 0 page faults and
% 14.12/14.29 978,822,640 bytes consed.
% 14.12/14.29 :PROOF-FOUND
% 14.12/14.29 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:28:28
% 14.12/14.29 :PROOF-FOUND
% 14.12/14.29 *
%------------------------------------------------------------------------------