TSTP Solution File: ANA024-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA024-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 19:26:47 EDT 2022
% Result : Unsatisfiable 14.73s 14.91s
% Output : Refutation 14.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 5 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__minus__eq__add_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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| Y = c_plus(c_minus(Y,Z,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_k(X),v_f(X),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),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(2755,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,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(18843,plain,
X = c_plus(c_minus(X,Y,t_b),Y,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__10_0,2755]) ).
cnf(18856,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(18857,plain,
X = c_minus(c_minus(X,Y,t_b),c_uminus(Y,t_b),t_b),
inference('REWRITE',[status(thm)],[18843,18856,theory(equality)]) ).
cnf(19160,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,2771,cls_conjecture_3]),cls_conjecture_1,18857,18856,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA024-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.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 06:20:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:20:05
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-08T06:20:05
% 0.61/0.84
% 0.68/0.86 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.68/0.86 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.69/0.87 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.90 WARNING:
% 0.69/0.90 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 14.73/14.91 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 14.73/14.91
% 14.73/14.91 #||
% 14.73/14.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.73/14.91 % SZS output start Refutation
% See solution above
% 14.73/14.91 ||#
% 14.73/14.91
% 14.73/14.91 ; Summary of computation:
% 14.73/14.91 ; 38334 formulas have been input or derived (from 2580 formulas).
% 14.73/14.91 ; 19160 (50%) were retained. Of these,
% 14.73/14.91 ; 3232 (17%) were simplified or subsumed later,
% 14.73/14.91 ; 15928 (83%) are still being kept.
% 14.73/14.91 ;
% 14.73/14.91 ; Run time in seconds excluding printing time:
% 14.73/14.91 ; 0.347 2% Read assertion file (1 call)
% 14.73/14.91 ; 0.048 0% Assert (2,809 calls)
% 14.73/14.91 ; 3.032 21% Process new row (35,816 calls)
% 14.73/14.91 ; 1.993 14% Resolution (5,158 calls)
% 14.73/14.91 ; 0.331 2% Paramodulation (2,579 calls)
% 14.73/14.91 ; 0.001 0% Factoring (74 calls)
% 14.73/14.91 ; 0.296 2% Condensing (14,160 calls)
% 14.73/14.91 ; 3.308 23% Forward subsumption (14,160 calls)
% 14.73/14.91 ; 1.137 8% Backward subsumption (11,610 calls)
% 14.73/14.91 ; 0.090 1% Clause clause subsumption (17,973 calls)
% 14.73/14.91 ; 2.314 16% Forward simplification (34,766 calls)
% 14.73/14.91 ; 0.783 5% Backward simplification (19,016 calls)
% 14.73/14.91 ; 0.570 4% Ordering (63,876 calls)
% 14.73/14.91 ; 0.000 0% Sortal reasoning (32 calls)
% 14.73/14.91 ; 0.015 0% Purity testing (1 call)
% 14.73/14.91 ; 0.169 1% Other
% 14.73/14.91 ; 14.434 Total
% 14.73/14.91 ; 14.435 Real time
% 14.73/14.92 ;
% 14.73/14.92 ; Term-hash-array has 50,762 terms in all.
% 14.73/14.92 ; Feature-vector-row-index has 9,700 entries (9,700 at peak, 11,610 added, 1,910 deleted).
% 14.73/14.92 ; Feature-vector-row-index has 80,001 nodes (80,001 at peak, 98,134 added, 18,133 deleted).
% 14.73/14.92 ; Retrieved 28,402 possibly forward subsuming rows in 14,160 calls.
% 14.73/14.92 ; Retrieved 8,562 possibly backward subsumed rows in 11,610 calls.
% 14.73/14.92 ; Path-index has 43,908 entries (43,908 at peak, 52,411 added, 8,503 deleted).
% 14.73/14.92 ; Path-index has 146,010 nodes (146,010 at peak, 156,875 added, 10,865 deleted).
% 14.73/14.92 ; Trie-index has 43,908 entries (43,908 at peak, 52,411 added, 8,503 deleted).
% 14.73/14.92 ; Trie-index has 346,382 nodes (346,382 at peak, 403,125 added, 56,743 deleted).
% 14.73/14.92 ; Retrieved 114,820 generalization terms in 306,394 calls.
% 14.73/14.92 ; Retrieved 13,974 instance terms in 7,940 calls.
% 14.73/14.92 ; Retrieved 2,201,669 unifiable terms in 30,246 calls.
% 14.73/14.92 ;
% 14.73/14.92 ; The agenda of rows to process has 3 entries:
% 14.73/14.92 ; 1 with value 20 1 with value 23 1 with value 24
% 14.73/14.92 ; The agenda of rows to give has 13541 entries:
% 14.73/14.92 ; 9 with value (4 4) 79 with value (4 57) 12 with value (4 110)
% 14.73/14.92 ; 10 with value (4 5) 70 with value (4 58) 10 with value (4 111)
% 14.73/14.92 ; 41 with value (4 6) 70 with value (4 59) 13 with value (4 112)
% 14.73/14.92 ; 68 with value (4 7) 106 with value (4 60) 13 with value (4 113)
% 14.73/14.92 ; 69 with value (4 8) 76 with value (4 61) 4 with value (4 114)
% 14.73/14.92 ; 82 with value (4 9) 86 with value (4 62) 9 with value (4 115)
% 14.73/14.92 ; 136 with value (4 10) 86 with value (4 63) 5 with value (4 116)
% 14.73/14.92 ; 100 with value (4 11) 98 with value (4 64) 3 with value (4 117)
% 14.73/14.92 ; 166 with value (4 12) 64 with value (4 65) 7 with value (4 118)
% 14.73/14.92 ; 162 with value (4 13) 84 with value (4 66) 11 with value (4 119)
% 14.73/14.92 ; 226 with value (4 14) 108 with value (4 67) 4 with value (4 120)
% 14.73/14.92 ; 220 with value (4 15) 80 with value (4 68) 2 with value (4 121)
% 14.73/14.92 ; 226 with value (4 16) 86 with value (4 69) 5 with value (4 122)
% 14.73/14.92 ; 295 with value (4 17) 83 with value (4 70) 2 with value (4 123)
% 14.73/14.92 ; 260 with value (4 18) 91 with value (4 71) 6 with value (4 124)
% 14.73/14.92 ; 292 with value (4 19) 87 with value (4 72) 2 with value (4 125)
% 14.73/14.92 ; 294 with value (4 20) 66 with value (4 73) 2 with value (4 126)
% 14.73/14.92 ; 327 with value (4 21) 82 with value (4 74) 2 with value (4 127)
% 14.73/14.92 ; 317 with value (4 22) 73 with value (4 75) 3 with value (4 128)
% 14.73/14.92 ; 336 with value (4 23) 68 with value (4 76) 3 with value (4 129)
% 14.73/14.92 ; 357 with value (4 24) 73 with value (4 77) 2 with value (4 131)
% 14.73/14.92 ; 341 with value (4 25) 52 with value (4 78) 4 with value (4 133)
% 14.73/14.92 ; 305 with value (4 26) 65 with value (4 79) 5 with value (4 134)
% 14.73/14.92 ; 312 with value (4 27) 65 with value (4 80) 2 with value (4 137)
% 14.73/14.92 ; 312 with value (4 28) 43 with value (4 81) 2 with value (4 138)
% 14.73/14.92 ; 392 with value (4 29) 43 with value (4 82) 1 with value (4 140)
% 14.73/14.92 ; 309 with value (4 30) 32 with value (4 83) 2 with value (4 141)
% 14.73/14.93 ; 311 with value (4 31) 38 with value (4 84) 1 with value (4 142)
% 14.73/14.93 ; 315 with value (4 32) 48 with value (4 85) 1 with value (4 145)
% 14.73/14.93 ; 268 with value (4 33) 33 with value (4 86) 5 with value (4 152)
% 14.73/14.93 ; 258 with value (4 34) 41 with value (4 87) 2 with value (4 154)
% 14.73/14.93 ; 283 with value (4 35) 36 with value (4 88) 1 with value (4 157)
% 14.73/14.93 ; 192 with value (4 36) 21 with value (4 89) 3 with value (4 164)
% 14.73/14.93 ; 276 with value (4 37) 35 with value (4 90) 1 with value (4 165)
% 14.73/14.93 ; 233 with value (4 38) 29 with value (4 91) 1 with value (4 169)
% 14.73/14.93 ; 241 with value (4 39) 13 with value (4 92) 2 with value (4 171)
% 14.73/14.93 ; 206 with value (4 40) 43 with value (4 93) 2 with value (4 176)
% 14.73/14.93 ; 213 with value (4 41) 21 with value (4 94) 2 with value (4 178)
% 14.73/14.93 ; 193 with value (4 42) 25 with value (4 95) 4 with value (4 180)
% 14.73/14.93 ; 149 with value (4 43) 30 with value (4 96) 1 with value (4 185)
% 14.73/14.93 ; 175 with value (4 44) 24 with value (4 97) 2 with value (4 186)
% 14.73/14.93 ; 150 with value (4 45) 7 with value (4 98) 2 with value (4 195)
% 14.73/14.93 ; 132 with value (4 46) 27 with value (4 99) 1 with value (4 202)
% 14.73/14.93 ; 116 with value (4 47) 15 with value (4 100) 2 with value (4 203)
% 14.73/14.93 ; 142 with value (4 48) 15 with value (4 101) 2 with value (4 205)
% 14.73/14.93 ; 121 with value (4 49) 9 with value (4 102) 1 with value (4 208)
% 14.73/14.93 ; 103 with value (4 50) 14 with value (4 103) 2 with value (4 213)
% 14.73/14.93 ; 95 with value (4 51) 10 with value (4 104) 2 with value (4 220)
% 14.73/14.93 ; 171 with value (4 52) 24 with value (4 105) 1 with value (4 225)
% 14.73/14.93 ; 120 with value (4 53) 7 with value (4 106) 2 with value (4 244)
% 14.73/14.93 ; 103 with value (4 54) 10 with value (4 107) 2 with value (4 274)
% 14.73/14.93 ; 95 with value (4 55) 13 with value (4 108) 1 with value (4 321)
% 14.73/14.93 ; 111 with value (4 56) 19 with value (4 109)
% 14.73/14.93 Evaluation took:
% 14.73/14.93 14.446 seconds of real time
% 14.73/14.93 13.520483 seconds of user run time
% 14.73/14.93 0.92495 seconds of system run time
% 14.73/14.93 [Run times include 4.024 seconds GC run time.]
% 14.73/14.93 0 calls to %EVAL
% 14.73/14.93 0 page faults and
% 14.73/14.93 978,048,528 bytes consed.
% 14.73/14.93 :PROOF-FOUND
% 14.73/14.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:20:20
% 14.73/14.93 :PROOF-FOUND
% 14.73/14.93 *
%------------------------------------------------------------------------------