%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW237+1 : TPTP v8.1.0. Released v5.2.0.
% 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 21 01:24:45 EDT 2022
% Result : Theorem 257.87s 258.08s
% Output : Refutation 257.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 21 ( 2 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X)
| ~ c_Orderings_Oord__class_Oless__eq(X,c_Groups_Oplus__class_Oplus(X,Y,Z),c_Groups_Oplus__class_Oplus(X,U,Z))
| c_Orderings_Oord__class_Oless__eq(X,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__cancel__right) ).
cnf(60,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,Y)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,Y,Z)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
cnf(217,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),Y)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__le__interval__iff) ).
cnf(1138,axiom,
( ~ class_Groups_Ogroup__add(X)
| c_Groups_Ominus__class_Ominus(X,Y,c_Groups_Ouminus__class_Ouminus(X,Z)) = c_Groups_Oplus__class_Oplus(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
cnf(1317,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).
cnf(1368,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
cnf(1489,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1490,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
cnf(1491,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
cnf(1878,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_mazh),
inference('UR-RESOLVE',[status(thm)],[217,1491]) ).
cnf(2072,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
inference('HYPERRESOLVE',[status(thm)],[60,1490,1489]) ).
cnf(2715,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y),
inference('HYPERRESOLVE',[status(thm)],[1138,1368]) ).
cnf(2741,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_ma)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_mazh,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_ma))),
inference('REWRITE',[status(thm)],[2072,2715,theory(equality)]) ).
cnf(30739,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_mazh,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,1878,1317]),2715,theory(equality)]) ).
cnf(30740,plain,
$false,
inference('REWRITE',[status(thm)],[2741,30739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWW237+1 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.15 % Command : run-snark %s %d
% 0.14/0.37 % Computer : n025.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sun Jun 5 11:12:32 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.23/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51 *
% 0.23/0.51 *
% 0.23/0.52 #<PACKAGE "SNARK-USER">
% 0.23/0.52 *
% 0.23/0.52 SNARK-TPTP-OPTIONS
% 0.23/0.52 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T11:12:32
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-05T11:12:32
% 0.61/0.78
% 0.61/0.78 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.61/0.80 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.61/0.80 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 0.61/0.81 WARNING:
% 0.61/0.81 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.81 WARNING:
% 0.61/0.81 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 257.87/258.08 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 257.87/258.08
% 257.87/258.08 #||
% 257.87/258.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 257.87/258.08 % SZS output start Refutation
% See solution above
% 257.87/258.08 ||#
% 257.87/258.08
% 257.87/258.08 ; Summary of computation:
% 257.87/258.08 ; 747632 formulas have been input or derived (from 1733 formulas).
% 257.87/258.08 ; 30740 ( 4%) were retained. Of these,
% 257.87/258.08 ; 2861 ( 9%) were simplified or subsumed later,
% 257.87/258.08 ; 27879 (91%) are still being kept.
% 257.87/258.08 ;
% 257.87/258.08 ; Run time in seconds excluding printing time:
% 257.87/258.08 ; 0.238 0% Read assertion file (1 call)
% 257.87/258.08 ; 0.038 0% Assert (1,289 calls)
% 257.87/258.08 ; 7.850 3% Process new row (696,618 calls)
% 257.87/258.08 ; 132.058 51% Resolution (3,464 calls)
% 257.87/258.08 ; 0.381 0% Paramodulation (1,732 calls)
% 257.87/258.08 ; 0.001 0% Factoring (21 calls)
% 257.87/258.08 ; 1.368 1% Condensing (68,933 calls)
% 257.87/258.08 ; 29.010 11% Forward subsumption (68,933 calls)
% 257.87/258.08 ; 2.106 1% Backward subsumption (11,620 calls)
% 257.87/258.08 ; 2.139 1% Clause clause subsumption (302,817 calls)
% 257.87/258.08 ; 56.440 22% Forward simplification (689,576 calls)
% 257.87/258.08 ; 1.842 1% Backward simplification (30,725 calls)
% 257.87/258.08 ; 21.800 8% Ordering (4,154,136 calls)
% 257.87/258.09 ; 0.000 0% Sortal reasoning (32 calls)
% 257.87/258.09 ; 0.004 0% Purity testing (1 call)
% 257.87/258.09 ; 2.257 1% Other
% 257.87/258.09 ; 257.532 Total
% 257.87/258.09 ; 257.565 Real time
% 257.87/258.09 ;
% 257.87/258.10 ; Term-hash-array has 73,411 terms in all.
% 257.87/258.10 ; Feature-vector-row-index has 11,130 entries (11,130 at peak, 11,620 added, 490 deleted).
% 257.87/258.10 ; Feature-vector-row-index has 107,513 nodes (107,513 at peak, 111,594 added, 4,081 deleted).
% 257.87/258.10 ; Retrieved 1,430,605 possibly forward subsuming rows in 68,933 calls.
% 257.87/258.10 ; Retrieved 27,452 possibly backward subsumed rows in 11,620 calls.
% 257.87/258.10 ; Path-index has 66,742 entries (66,743 at peak, 74,990 added, 8,248 deleted).
% 257.87/258.10 ; Path-index has 72,225 nodes (72,225 at peak, 73,826 added, 1,601 deleted).
% 257.87/258.10 ; Trie-index has 66,742 entries (66,743 at peak, 74,990 added, 8,248 deleted).
% 257.87/258.10 ; Trie-index has 548,683 nodes (548,687 at peak, 629,666 added, 80,983 deleted).
% 257.87/258.10 ; Retrieved 7,844,364 generalization terms in 9,602,015 calls.
% 257.87/258.10 ; Retrieved 59,965 instance terms in 27,482 calls.
% 257.87/258.10 ; Retrieved 189,915,072 unifiable terms in 414,382 calls.
% 257.87/258.10 ;
% 257.87/258.10 ; The agenda of rows to process has 65 entries:
% 257.87/258.10 ; 1 with value 17 2 with value 23 1 with value 38
% 257.87/258.10 ; 24 with value 18 16 with value 24 2 with value 39
% 257.87/258.10 ; 1 with value 20 10 with value 26 2 with value 40
% 257.87/258.10 ; 1 with value 21 1 with value 31 1 with value 49
% 257.87/258.10 ; 1 with value 22 2 with value 35
% 257.87/258.10 ; The agenda of rows to give has 26171 entries:
% 257.87/258.10 ; 198 with value (4 9) 131 with value (4 69) 5 with value (4 128)
% 257.87/258.10 ; 102 with value (4 10) 146 with value (4 70) 3 with value (4 129)
% 257.87/258.10 ; 103 with value (4 11) 118 with value (4 71) 14 with value (4 130)
% 257.87/258.10 ; 120 with value (4 12) 81 with value (4 72) 1 with value (4 131)
% 257.87/258.10 ; 166 with value (4 13) 94 with value (4 73) 8 with value (4 132)
% 257.87/258.10 ; 217 with value (4 14) 68 with value (4 74) 11 with value (4 133)
% 257.87/258.10 ; 291 with value (4 15) 74 with value (4 75) 3 with value (4 134)
% 257.87/258.10 ; 322 with value (4 16) 53 with value (4 76) 6 with value (4 135)
% 257.87/258.10 ; 285 with value (4 17) 44 with value (4 77) 8 with value (4 136)
% 257.87/258.10 ; 340 with value (4 18) 57 with value (4 78) 4 with value (4 137)
% 257.87/258.10 ; 322 with value (4 19) 71 with value (4 79) 7 with value (4 138)
% 257.87/258.10 ; 317 with value (4 20) 62 with value (4 80) 7 with value (4 139)
% 257.87/258.10 ; 322 with value (4 21) 61 with value (4 81) 2 with value (4 140)
% 257.87/258.10 ; 408 with value (4 22) 68 with value (4 82) 3 with value (4 141)
% 257.87/258.10 ; 364 with value (4 23) 52 with value (4 83) 5 with value (4 142)
% 257.87/258.10 ; 459 with value (4 24) 65 with value (4 84) 2 with value (4 143)
% 257.87/258.10 ; 500 with value (4 25) 91 with value (4 85) 1 with value (4 144)
% 257.87/258.10 ; 470 with value (4 26) 17 with value (4 86) 3 with value (4 145)
% 257.87/258.10 ; 363 with value (4 27) 48 with value (4 87) 1 with value (4 146)
% 257.87/258.10 ; 393 with value (4 28) 71 with value (4 88) 8 with value (4 147)
% 257.87/258.10 ; 460 with value (4 29) 23 with value (4 89) 1 with value (4 148)
% 257.87/258.10 ; 399 with value (4 30) 56 with value (4 90) 3 with value (4 149)
% 257.87/258.10 ; 480 with value (4 31) 23 with value (4 91) 2 with value (4 151)
% 257.87/258.10 ; 387 with value (4 32) 45 with value (4 92) 2 with value (4 152)
% 257.87/258.10 ; 481 with value (4 33) 54 with value (4 93) 2 with value (4 154)
% 257.87/258.10 ; 534 with value (4 34) 49 with value (4 94) 4 with value (4 155)
% 257.87/258.10 ; 556 with value (4 35) 96 with value (4 95) 3 with value (4 156)
% 257.87/258.10 ; 558 with value (4 36) 80 with value (4 96) 2 with value (4 157)
% 257.87/258.10 ; 560 with value (4 37) 29 with value (4 97) 3 with value (4 158)
% 257.87/258.10 ; 606 with value (4 38) 103 with value (4 98) 11 with value (4 159)
% 257.87/258.10 ; 458 with value (4 39) 30 with value (4 99) 6 with value (4 160)
% 257.87/258.10 ; 546 with value (4 40) 22 with value (4 100) 3 with value (4 161)
% 257.87/258.10 ; 527 with value (4 41) 30 with value (4 101) 2 with value (4 162)
% 257.87/258.10 ; 540 with value (4 42) 39 with value (4 102) 3 with value (4 163)
% 257.87/258.10 ; 524 with value (4 43) 15 with value (4 103) 6 with value (4 165)
% 257.87/258.10 ; 554 with value (4 44) 33 with value (4 104) 3 with value (4 166)
% 257.87/258.10 ; 424 with value (4 45) 35 with value (4 105) 1 with value (4 167)
% 257.87/258.10 ; 590 with value (4 46) 24 with value (4 106) 3 with value (4 168)
% 257.87/258.10 ; 787 with value (4 47) 17 with value (4 107) 7 with value (4 169)
% 257.87/258.10 ; 363 with value (4 48) 15 with value (4 108) 2 with value (4 170)
% 257.87/258.10 ; 635 with value (4 49) 14 with value (4 109) 1 with value (4 171)
% 257.87/258.10 ; 620 with value (4 50) 3 with value (4 110) 3 with value (4 172)
% 257.87/258.10 ; 347 with value (4 51) 20 with value (4 111) 1 with value (4 173)
% 257.87/258.10 ; 497 with value (4 52) 9 with value (4 112) 1 with value (4 174)
% 257.87/258.10 ; 301 with value (4 53) 3 with value (4 113) 1 with value (4 175)
% 257.87/258.10 ; 388 with value (4 54) 5 with value (4 114) 1 with value (4 176)
% 257.87/258.10 ; 262 with value (4 55) 3 with value (4 115) 1 with value (4 177)
% 257.87/258.10 ; 548 with value (4 56) 4 with value (4 116) 5 with value (4 179)
% 257.87/258.10 ; 481 with value (4 57) 12 with value (4 117) 1 with value (4 184)
% 257.87/258.10 ; 620 with value (4 58) 7 with value (4 118) 1 with value (4 189)
% 257.87/258.10 ; 239 with value (4 59) 6 with value (4 119) 1 with value (4 192)
% 257.87/258.10 ; 419 with value (4 60) 18 with value (4 120) 1 with value (4 195)
% 257.87/258.10 ; 280 with value (4 61) 5 with value (4 121) 1 with value (4 199)
% 257.87/258.10 ; 183 with value (4 62) 3 with value (4 122) 1 with value (4 204)
% 257.87/258.10 ; 206 with value (4 63) 9 with value (4 123) 4 with value (4 207)
% 257.87/258.10 ; 269 with value (4 64) 9 with value (4 124) 1 with value (4 213)
% 257.87/258.10 ; 191 with value (4 65) 4 with value (4 125) 1 with value (4 223)
% 257.87/258.10 ; 223 with value (4 66) 8 with value (4 126) 1 with value (4 237)
% 257.87/258.10 ; 239 with value (4 67) 4 with value (4 127) 2 with value (4 280)
% 257.87/258.10 ; 191 with value (4 68)
% 257.87/258.10 Evaluation took:
% 257.87/258.10 257.579 seconds of real time
% 257.87/258.10 247.378 seconds of user run time
% 257.87/258.10 10.169738 seconds of system run time
% 257.87/258.10 [Run times include 37.754 seconds GC run time.]
% 257.87/258.10 0 calls to %EVAL
% 257.87/258.10 0 page faults and
% 257.87/258.10 12,286,729,520 bytes consed.
% 257.87/258.10 :PROOF-FOUND
% 257.87/258.10 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T11:16:50
% 257.87/258.10 :PROOF-FOUND
% 257.87/258.10 *
%------------------------------------------------------------------------------