TSTP Solution File: ANA023-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA023-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 19:26:46 EDT 2022
% Result : Unsatisfiable 56.75s 57.02s
% Output : Refutation 56.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 35 ( 6 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Odiff__0_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(c_0,Y,X) = c_uminus(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__0_0) ).
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__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(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_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
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_OrderedGroup_Ocompare__rls__9_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(Y,c_minus(Z,U,X),X)
| c_lessequals(c_plus(Y,U,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(c_plus(Y,Z,X),U,X)
| c_lessequals(Y,c_minus(U,Z,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(2755,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(2760,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(2771,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(18834,plain,
c_uminus(c_uminus(X,t_b),t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__minus_0,2755]) ).
cnf(18835,plain,
c_minus(c_0,X,t_b) = c_uminus(X,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__0_0,2755]) ).
cnf(18855,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_0,2755]) ).
cnf(19158,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_0,2771,cls_conjecture_1]),18834,18835,18855,theory(equality)]) ).
cnf(19160,plain,
~ c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,2771,cls_conjecture_3]),18834,18835,18855,theory(equality)]) ).
cnf(56626,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,19158,2760,cls_conjecture_2]),19160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA023-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 05:28:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-08T05:28:51
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-08T05:28:51
% 0.59/0.82
% 0.59/0.84 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.59/0.84 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.68/0.85 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.88 WARNING:
% 0.72/0.88 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 56.75/57.02 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 56.75/57.02
% 56.75/57.02 #||
% 56.75/57.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.75/57.02 % SZS output start Refutation
% See solution above
% 56.84/57.02 ||#
% 56.84/57.02
% 56.84/57.02 ; Summary of computation:
% 56.84/57.02 ; 112939 formulas have been input or derived (from 3063 formulas).
% 56.84/57.02 ; 56626 (50%) were retained. Of these,
% 56.84/57.02 ; 8783 (16%) were simplified or subsumed later,
% 56.84/57.02 ; 47843 (84%) are still being kept.
% 56.84/57.02 ;
% 56.84/57.02 ; Run time in seconds excluding printing time:
% 56.84/57.02 ; 0.346 1% Read assertion file (1 call)
% 56.84/57.02 ; 0.039 0% Assert (2,809 calls)
% 56.84/57.02 ; 8.080 14% Process new row (104,102 calls)
% 56.84/57.02 ; 24.031 43% Resolution (6,124 calls)
% 56.84/57.02 ; 0.306 1% Paramodulation (3,062 calls)
% 56.84/57.02 ; 0.000 0% Factoring (76 calls)
% 56.84/57.02 ; 0.602 1% Condensing (29,429 calls)
% 56.84/57.02 ; 9.092 16% Forward subsumption (29,429 calls)
% 56.84/57.02 ; 4.784 8% Backward subsumption (23,703 calls)
% 56.84/57.02 ; 0.150 0% Clause clause subsumption (37,779 calls)
% 56.84/57.02 ; 6.037 11% Forward simplification (102,652 calls)
% 56.84/57.02 ; 1.859 3% Backward simplification (56,482 calls)
% 56.84/57.02 ; 0.754 1% Ordering (125,900 calls)
% 56.84/57.02 ; 0.000 0% Sortal reasoning (32 calls)
% 56.84/57.02 ; 0.015 0% Purity testing (1 call)
% 56.84/57.02 ; 0.447 1% Other
% 56.84/57.02 ; 56.542 Total
% 56.84/57.02 ; 56.555 Real time
% 56.84/57.02 ;
% 56.84/57.03 ; Term-hash-array has 128,997 terms in all.
% 56.84/57.03 ; Feature-vector-row-index has 18,839 entries (18,839 at peak, 23,703 added, 4,864 deleted).
% 56.84/57.03 ; Feature-vector-row-index has 124,728 nodes (124,728 at peak, 162,687 added, 37,959 deleted).
% 56.84/57.03 ; Retrieved 47,018 possibly forward subsuming rows in 29,429 calls.
% 56.84/57.03 ; Retrieved 16,939 possibly backward subsumed rows in 23,703 calls.
% 56.84/57.03 ; Path-index has 115,189 entries (115,189 at peak, 135,202 added, 20,013 deleted).
% 56.84/57.03 ; Path-index has 188,906 nodes (188,906 at peak, 205,987 added, 17,081 deleted).
% 56.84/57.03 ; Trie-index has 115,189 entries (115,189 at peak, 135,202 added, 20,013 deleted).
% 56.84/57.03 ; Trie-index has 783,153 nodes (783,153 at peak, 916,808 added, 133,655 deleted).
% 56.84/57.03 ; Retrieved 267,798 generalization terms in 708,266 calls.
% 56.84/57.03 ; Retrieved 45,917 instance terms in 33,345 calls.
% 56.84/57.03 ; Retrieved 25,626,971 unifiable terms in 98,114 calls.
% 56.84/57.03 ;
% 56.84/57.03 ; The agenda of rows to process has 101 entries:
% 56.84/57.03 ; 4 with value 11 8 with value 17 20 with value 21
% 56.84/57.03 ; 8 with value 14 4 with value 18 4 with value 25
% 56.84/57.03 ; 6 with value 15 10 with value 19 1 with value 40
% 56.84/57.03 ; 28 with value 16 8 with value 20
% 56.84/57.03 ; The agenda of rows to give has 45036 entries:
% 56.84/57.03 ; 194 with value (4 10) 200 with value (4 64) 5 with value (4 117)
% 56.84/57.03 ; 538 with value (4 11) 95 with value (4 65) 7 with value (4 118)
% 56.84/57.03 ; 777 with value (4 12) 108 with value (4 66) 11 with value (4 119)
% 56.84/57.04 ; 1111 with value (4 13) 161 with value (4 67) 10 with value (4 120)
% 56.84/57.04 ; 1173 with value (4 14) 106 with value (4 68) 4 with value (4 121)
% 56.84/57.04 ; 1966 with value (4 15) 122 with value (4 69) 5 with value (4 122)
% 56.84/57.04 ; 1941 with value (4 16) 122 with value (4 70) 2 with value (4 123)
% 56.84/57.04 ; 1359 with value (4 17) 115 with value (4 71) 20 with value (4 124)
% 56.84/57.04 ; 1883 with value (4 18) 159 with value (4 72) 6 with value (4 125)
% 56.84/57.04 ; 1135 with value (4 19) 94 with value (4 73) 2 with value (4 126)
% 56.84/57.04 ; 1314 with value (4 20) 147 with value (4 74) 2 with value (4 127)
% 56.84/57.04 ; 1246 with value (4 21) 170 with value (4 75) 3 with value (4 128)
% 56.84/57.04 ; 1532 with value (4 22) 95 with value (4 76) 3 with value (4 129)
% 56.84/57.04 ; 1420 with value (4 23) 97 with value (4 77) 2 with value (4 131)
% 56.84/57.04 ; 1515 with value (4 24) 54 with value (4 78) 4 with value (4 133)
% 56.84/57.04 ; 2064 with value (4 25) 106 with value (4 79) 5 with value (4 134)
% 56.84/57.04 ; 1084 with value (4 26) 87 with value (4 80) 2 with value (4 137)
% 56.84/57.04 ; 1183 with value (4 27) 77 with value (4 81) 2 with value (4 138)
% 56.84/57.04 ; 831 with value (4 28) 81 with value (4 82) 1 with value (4 140)
% 56.84/57.04 ; 1072 with value (4 29) 65 with value (4 83) 2 with value (4 141)
% 56.84/57.04 ; 991 with value (4 30) 75 with value (4 84) 3 with value (4 142)
% 56.84/57.04 ; 1069 with value (4 31) 63 with value (4 85) 2 with value (4 143)
% 56.84/57.04 ; 1405 with value (4 32) 40 with value (4 86) 2 with value (4 144)
% 56.84/57.04 ; 857 with value (4 33) 66 with value (4 87) 1 with value (4 145)
% 56.84/57.04 ; 887 with value (4 34) 45 with value (4 88) 1 with value (4 147)
% 56.84/57.04 ; 671 with value (4 35) 40 with value (4 89) 1 with value (4 148)
% 56.84/57.04 ; 471 with value (4 36) 56 with value (4 90) 3 with value (4 149)
% 56.84/57.04 ; 737 with value (4 37) 50 with value (4 91) 1 with value (4 150)
% 56.84/57.04 ; 549 with value (4 38) 62 with value (4 92) 5 with value (4 152)
% 56.84/57.04 ; 627 with value (4 39) 50 with value (4 93) 5 with value (4 153)
% 56.84/57.04 ; 883 with value (4 40) 47 with value (4 94) 3 with value (4 154)
% 56.84/57.04 ; 743 with value (4 41) 46 with value (4 95) 1 with value (4 157)
% 56.84/57.04 ; 560 with value (4 42) 39 with value (4 96) 3 with value (4 164)
% 56.84/57.04 ; 606 with value (4 43) 32 with value (4 97) 1 with value (4 165)
% 56.84/57.04 ; 498 with value (4 44) 40 with value (4 98) 1 with value (4 169)
% 56.84/57.04 ; 498 with value (4 45) 35 with value (4 99) 2 with value (4 171)
% 56.84/57.04 ; 319 with value (4 46) 40 with value (4 100) 2 with value (4 176)
% 56.84/57.04 ; 177 with value (4 47) 69 with value (4 101) 2 with value (4 178)
% 56.84/57.04 ; 277 with value (4 48) 13 with value (4 102) 4 with value (4 180)
% 56.84/57.04 ; 477 with value (4 49) 18 with value (4 103) 1 with value (4 185)
% 56.84/57.04 ; 278 with value (4 50) 38 with value (4 104) 2 with value (4 186)
% 56.84/57.04 ; 234 with value (4 51) 26 with value (4 105) 2 with value (4 193)
% 56.84/57.04 ; 442 with value (4 52) 7 with value (4 106) 2 with value (4 195)
% 56.84/57.04 ; 197 with value (4 53) 10 with value (4 107) 1 with value (4 202)
% 56.84/57.04 ; 207 with value (4 54) 14 with value (4 108) 2 with value (4 203)
% 56.84/57.04 ; 232 with value (4 55) 25 with value (4 109) 2 with value (4 205)
% 56.84/57.04 ; 159 with value (4 56) 14 with value (4 110) 1 with value (4 208)
% 56.84/57.04 ; 158 with value (4 57) 10 with value (4 111) 2 with value (4 213)
% 56.84/57.04 ; 175 with value (4 58) 19 with value (4 112) 2 with value (4 220)
% 56.84/57.04 ; 123 with value (4 59) 24 with value (4 113) 1 with value (4 225)
% 56.84/57.04 ; 170 with value (4 60) 8 with value (4 114) 2 with value (4 244)
% 56.84/57.04 ; 184 with value (4 61) 10 with value (4 115) 2 with value (4 274)
% 56.84/57.04 ; 118 with value (4 62) 15 with value (4 116) 1 with value (4 321)
% 56.84/57.04 ; 148 with value (4 63)
% 56.84/57.04 Evaluation took:
% 56.84/57.04 56.571 seconds of real time
% 56.84/57.04 53.859444 seconds of user run time
% 56.84/57.04 2.701638 seconds of system run time
% 56.84/57.04 [Run times include 17.267 seconds GC run time.]
% 56.84/57.04 0 calls to %EVAL
% 56.84/57.04 0 page faults and
% 56.84/57.04 3,019,859,304 bytes consed.
% 56.84/57.04 :PROOF-FOUND
% 56.84/57.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:29:48
% 56.84/57.04 :PROOF-FOUND
% 56.84/57.04 *
%------------------------------------------------------------------------------