TSTP Solution File: SCT024-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SCT024-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 22:10:22 EDT 2022
% Result : Unsatisfiable 13.21s 13.38s
% Output : Refutation 13.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 1 nHn; 7 RR)
% Number of literals : 16 ( 2 equ; 8 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 11 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_irrefl__def_0,axiom,
( ~ hBOOL(c_in(c_Pair(X,X,Y,Y),Z,tc_prod(Y,Y)))
| ~ c_Relation_Oirrefl(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Relation_Otrans(hAPP(v_P,X),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Relation_Oirrefl(hAPP(v_P,X),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_8,negated_conjecture,
( hBOOL(c_in(c_Pair(X,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(Z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ hBOOL(c_in(c_Pair(X,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(Z,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| X = Y
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(Z,v_Pa(Z)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(Z,v_Pa(Z)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(Z,v_Pa(Z)),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(833,plain,
~ hBOOL(c_in(c_Pair(X,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,Y),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference('UR-RESOLVE',[status(thm)],[cls_irrefl__def_0,cls_conjecture_1]) ).
cnf(10273,plain,
v_a = v_b,
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_8,cls_conjecture_4,cls_conjecture_3,cls_conjecture_2,cls_conjecture_1,cls_conjecture_0]) ).
cnf(10274,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_3,833,10273,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT024-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 08:28:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T08:28:40
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-02T08:28:40
% 0.47/0.68 WARNING:
% 0.47/0.68 |c_Equiv__Relations_Ocongruent2| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68 WARNING:
% 0.47/0.68 |c_Equiv__Relations_Ocongruent| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 13.21/13.38
% 13.21/13.38
% 13.21/13.38 #||
% 13.21/13.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.21/13.38 % SZS output start Refutation
% See solution above
% 13.36/13.56 ||#
% 13.36/13.56
% 13.36/13.56 ; Summary of computation:
% 13.36/13.56 ; 20051 formulas have been input or derived (from 596 formulas).
% 13.36/13.56 ; 10274 (51%) were retained. Of these,
% 13.36/13.56 ; 399 ( 4%) were simplified or subsumed later,
% 13.36/13.56 ; 9875 (96%) are still being kept.
% 13.36/13.56 ;
% 13.36/13.56 ; Run time in seconds excluding printing time:
% 13.36/13.56 ; 0.175 1% Read assertion file (1 call)
% 13.36/13.56 ; 0.014 0% Assert (713 calls)
% 13.36/13.56 ; 1.991 15% Process new row (18,675 calls)
% 13.36/13.56 ; 0.683 5% Resolution (1,190 calls)
% 13.36/13.56 ; 0.226 2% Paramodulation (595 calls)
% 13.36/13.56 ; 0.000 0% Factoring (21 calls)
% 13.36/13.56 ; 0.261 2% Condensing (8,085 calls)
% 13.36/13.56 ; 4.688 36% Forward subsumption (8,085 calls)
% 13.36/13.56 ; 0.535 4% Backward subsumption (6,294 calls)
% 13.36/13.56 ; 0.122 1% Clause clause subsumption (27,787 calls)
% 13.36/13.56 ; 1.542 12% Forward simplification (18,523 calls)
% 13.36/13.56 ; 0.274 2% Backward simplification (10,263 calls)
% 13.36/13.56 ; 2.291 18% Ordering (129,158 calls)
% 13.36/13.56 ; 0.000 0% Sortal reasoning (32 calls)
% 13.36/13.56 ; 0.002 0% Purity testing (1 call)
% 13.36/13.56 ; 0.103 1% Other
% 13.36/13.56 ; 12.907 Total
% 13.36/13.56 ; 13.090 Real time
% 13.36/13.57 ;
% 13.36/13.57 ; Term-hash-array has 37,310 terms in all.
% 13.36/13.57 ; Feature-vector-row-index has 6,076 entries (6,189 at peak, 6,294 added, 218 deleted).
% 13.36/13.57 ; Feature-vector-row-index has 66,305 nodes (68,846 at peak, 69,927 added, 3,622 deleted).
% 13.36/13.57 ; Retrieved 40,164 possibly forward subsuming rows in 8,085 calls.
% 13.36/13.57 ; Retrieved 1,878 possibly backward subsumed rows in 6,294 calls.
% 13.36/13.57 ; Path-index has 36,076 entries (36,843 at peak, 37,522 added, 1,446 deleted).
% 13.36/13.57 ; Path-index has 133,538 nodes (134,299 at peak, 135,286 added, 1,748 deleted).
% 13.36/13.57 ; Trie-index has 36,076 entries (36,843 at peak, 37,522 added, 1,446 deleted).
% 13.36/13.57 ; Trie-index has 317,339 nodes (324,989 at peak, 330,730 added, 13,391 deleted).
% 13.36/13.57 ; Retrieved 147,822 generalization terms in 140,266 calls.
% 13.36/13.57 ; Retrieved 19,628 instance terms in 5,542 calls.
% 13.36/13.57 ; Retrieved 1,025,471 unifiable terms in 8,296 calls.
% 13.36/13.57 ;
% 13.36/13.57 ; The agenda of backward simplifiable rows to process has 177 entries:
% 13.36/13.57 ; 177 with value 0
% 13.36/13.57 ; The agenda of rows to process has 296 entries:
% 13.36/13.57 ; 1 with value 20 1 with value 94 20 with value 129
% 13.36/13.57 ; 2 with value 42 5 with value 96 3 with value 130
% 13.36/13.57 ; 2 with value 47 25 with value 99 8 with value 140
% 13.36/13.57 ; 5 with value 50 3 with value 101 8 with value 141
% 13.36/13.57 ; 1 with value 58 8 with value 102 8 with value 142
% 13.36/13.57 ; 1 with value 59 1 with value 105 1 with value 146
% 13.36/13.57 ; 1 with value 60 1 with value 106 9 with value 148
% 13.36/13.57 ; 1 with value 62 8 with value 107 1 with value 149
% 13.36/13.57 ; 1 with value 66 2 with value 108 8 with value 151
% 13.36/13.57 ; 5 with value 69 6 with value 109 1 with value 159
% 13.36/13.57 ; 10 with value 72 10 with value 110 1 with value 163
% 13.36/13.57 ; 10 with value 77 10 with value 111 3 with value 166
% 13.36/13.57 ; 6 with value 80 14 with value 112 2 with value 167
% 13.36/13.57 ; 2 with value 81 1 with value 114 3 with value 170
% 13.36/13.57 ; 2 with value 82 1 with value 116 5 with value 173
% 13.36/13.57 ; 3 with value 87 14 with value 118 1 with value 181
% 13.36/13.57 ; 8 with value 88 4 with value 119 1 with value 204
% 13.36/13.57 ; 5 with value 89 4 with value 120 1 with value 216
% 13.36/13.57 ; 6 with value 90 10 with value 121 3 with value 224
% 13.36/13.57 ; 2 with value 91 6 with value 126 1 with value 231
% 13.36/13.57 ; The agenda of input rows to give has 4 entries:
% 13.36/13.57 ; 1 with value 68 1 with value 70 1 with value 72
% 13.36/13.57 ; 1 with value 69
% 13.36/13.57 ; The agenda of rows to give has 9284 entries:
% 13.36/13.57 ; 1 with value (4 5) 181 with value (4 55) 54 with value (4 104)
% 13.36/13.57 ; 2 with value (4 6) 162 with value (4 56) 40 with value (4 105)
% 13.36/13.57 ; 17 with value (4 7) 102 with value (4 57) 18 with value (4 106)
% 13.36/13.57 ; 8 with value (4 8) 101 with value (4 58) 19 with value (4 107)
% 13.36/13.57 ; 1 with value (4 10) 199 with value (4 59) 24 with value (4 108)
% 13.36/13.57 ; 10 with value (4 11) 196 with value (4 60) 18 with value (4 109)
% 13.36/13.57 ; 11 with value (4 12) 133 with value (4 61) 24 with value (4 110)
% 13.36/13.57 ; 22 with value (4 13) 141 with value (4 62) 29 with value (4 111)
% 13.36/13.57 ; 21 with value (4 14) 149 with value (4 63) 19 with value (4 112)
% 13.36/13.57 ; 22 with value (4 15) 96 with value (4 64) 23 with value (4 113)
% 13.36/13.57 ; 17 with value (4 16) 162 with value (4 65) 20 with value (4 114)
% 13.36/13.57 ; 13 with value (4 17) 153 with value (4 66) 6 with value (4 115)
% 13.36/13.57 ; 22 with value (4 18) 107 with value (4 67) 2 with value (4 116)
% 13.36/13.57 ; 27 with value (4 19) 113 with value (4 68) 17 with value (4 117)
% 13.36/13.57 ; 43 with value (4 20) 119 with value (4 69) 10 with value (4 118)
% 13.36/13.57 ; 53 with value (4 21) 117 with value (4 70) 2 with value (4 119)
% 13.36/13.57 ; 39 with value (4 22) 77 with value (4 71) 15 with value (4 121)
% 13.36/13.57 ; 63 with value (4 23) 85 with value (4 72) 12 with value (4 122)
% 13.36/13.57 ; 42 with value (4 24) 111 with value (4 73) 4 with value (4 123)
% 13.36/13.57 ; 81 with value (4 25) 109 with value (4 74) 12 with value (4 124)
% 13.36/13.57 ; 68 with value (4 26) 89 with value (4 75) 3 with value (4 125)
% 13.36/13.57 ; 80 with value (4 27) 89 with value (4 76) 7 with value (4 126)
% 13.36/13.57 ; 93 with value (4 28) 122 with value (4 77) 13 with value (4 127)
% 13.36/13.57 ; 85 with value (4 29) 90 with value (4 78) 6 with value (4 129)
% 13.36/13.57 ; 110 with value (4 30) 76 with value (4 79) 6 with value (4 130)
% 13.36/13.57 ; 127 with value (4 31) 54 with value (4 80) 6 with value (4 131)
% 13.36/13.57 ; 106 with value (4 32) 38 with value (4 81) 7 with value (4 132)
% 13.36/13.57 ; 119 with value (4 33) 90 with value (4 82) 10 with value (4 133)
% 13.36/13.57 ; 117 with value (4 34) 57 with value (4 83) 18 with value (4 134)
% 13.36/13.57 ; 98 with value (4 35) 44 with value (4 84) 4 with value (4 135)
% 13.36/13.57 ; 97 with value (4 36) 81 with value (4 85) 12 with value (4 136)
% 13.36/13.57 ; 192 with value (4 37) 74 with value (4 86) 8 with value (4 137)
% 13.36/13.57 ; 151 with value (4 38) 46 with value (4 87) 7 with value (4 139)
% 13.36/13.57 ; 108 with value (4 39) 62 with value (4 88) 1 with value (4 140)
% 13.36/13.57 ; 167 with value (4 40) 56 with value (4 89) 1 with value (4 145)
% 13.36/13.57 ; 160 with value (4 41) 70 with value (4 90) 4 with value (4 146)
% 13.36/13.57 ; 139 with value (4 42) 59 with value (4 91) 13 with value (4 147)
% 13.36/13.57 ; 117 with value (4 43) 41 with value (4 92) 6 with value (4 150)
% 13.36/13.57 ; 137 with value (4 44) 88 with value (4 93) 4 with value (4 151)
% 13.36/13.57 ; 125 with value (4 45) 36 with value (4 94) 2 with value (4 153)
% 13.36/13.57 ; 138 with value (4 46) 21 with value (4 95) 2 with value (4 155)
% 13.36/13.57 ; 209 with value (4 47) 45 with value (4 96) 1 with value (4 156)
% 13.36/13.57 ; 186 with value (4 48) 53 with value (4 97) 2 with value (4 159)
% 13.36/13.57 ; 139 with value (4 49) 36 with value (4 98) 2 with value (4 161)
% 13.36/13.57 ; 148 with value (4 50) 16 with value (4 99) 2 with value (4 162)
% 13.36/13.57 ; 136 with value (4 51) 28 with value (4 100) 1 with value (4 170)
% 13.36/13.57 ; 137 with value (4 52) 68 with value (4 101) 4 with value (4 176)
% 13.36/13.57 ; 243 with value (4 53) 34 with value (4 102) 2 with value (4 199)
% 13.36/13.57 ; 218 with value (4 54) 21 with value (4 103)
% 13.36/13.57 Evaluation took:
% 13.36/13.57 13.097 seconds of real time
% 13.36/13.57 12.344723 seconds of user run time
% 13.36/13.57 0.750919 seconds of system run time
% 13.36/13.57 [Run times include 3.343 seconds GC run time.]
% 13.36/13.57 0 calls to %EVAL
% 13.36/13.57 0 page faults and
% 13.36/13.57 1,020,960,824 bytes consed.
% 13.36/13.57 :PROOF-FOUND
% 13.36/13.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T08:28:53
% 13.36/13.57 :PROOF-FOUND
% 13.36/13.57 *
%------------------------------------------------------------------------------