TSTP Solution File: GEO521+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO521+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : Sat Jul 16 06:16:32 EDT 2022
% Result : Theorem 284.90s 285.12s
% Output : Refutation 284.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 24 ( 15 unt; 3 nHn; 19 RR)
% Number of literals : 42 ( 8 equ; 18 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
( X = Y
| ~ s_e(Z,X,U,Y)
| ~ s_e(V,X,V,Y)
| ~ s_e(W,X,W,Y)
| s_t(Z,V,W)
| s_t(V,W,Z)
| s_t(W,Z,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA9) ).
cnf(19,axiom,
s_e(X,X,Y,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_8) ).
cnf(47,axiom,
s_col(X,Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
cnf(101,axiom,
s_m(X,Y,s(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4a) ).
cnf(107,axiom,
( s(X,Y) != Y
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10a) ).
cnf(148,axiom,
( X = Y
| ~ s_col(X,Y,Z)
| ~ s_col(X,Y,U)
| Z = U
| s_r(V,Z,U)
| ~ perp(X,Y,V,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_16a) ).
cnf(152,axiom,
( s_col(X,Y,Z)
| perp(X,Y,Z,foot(X,Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_18) ).
cnf(198,negated_conjecture,
'SKOLEMAAAV1' != 'SKOLEMAAAV2',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLemma9_13f_case1) ).
cnf(199,negated_conjecture,
~ s_col('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLemma9_13f_case1) ).
cnf(203,negated_conjecture,
'SKOLEMAAAV1' = foot('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLemma9_13f_case1) ).
cnf(224,axiom,
( s_col(X,Y,Z)
| ~ s_t(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
cnf(225,axiom,
( s_col(X,Y,Z)
| ~ s_t(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
cnf(226,axiom,
( s_col(X,Y,Z)
| ~ s_t(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
cnf(241,axiom,
( ~ s_m(X,Y,Z)
| s_e(Y,X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
cnf(250,axiom,
( ~ s_r(X,Y,Z)
| s_e(X,Z,X,s(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
cnf(352,plain,
~ s_t('SKOLEMAAAV2','SKOLEMAAAV1','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[224,199]) ).
cnf(357,plain,
~ s_t('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[225,199]) ).
cnf(362,plain,
~ s_t('SKOLEMAAAV3','SKOLEMAAAV2','SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[226,199]) ).
cnf(371,plain,
s('SKOLEMAAAV1','SKOLEMAAAV2') != 'SKOLEMAAAV2',
inference('UR-RESOLVE',[status(thm)],[107,198]) ).
cnf(387,plain,
s_e(X,Y,X,s(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[241,101]) ).
cnf(533,plain,
perp('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[152,199]),203,theory(equality)]) ).
cnf(3854,plain,
s_r('SKOLEMAAAV3','SKOLEMAAAV1','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[148,533,198,47,47,198]) ).
cnf(4239,plain,
s_e('SKOLEMAAAV3','SKOLEMAAAV2','SKOLEMAAAV3',s('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[250,3854]) ).
cnf(15407,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,387,371,19,352,357,362]),4239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO521+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 08:03:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T08:03:49
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T08:03:49
% 0.21/0.56
% 0.21/0.56 ; Recognized commutativity assertion (OR (NOT (|s_col| ?X ?Y ?Z)) (|s_col| ?Y ?X ?Z)).
% 0.21/0.57 ; Recognized relation functionality assertion (OR (NOT (|s_m| ?X ?Y ?Z)) (NOT (|s_m| ?X ?Y ?U)) (= ?Z ?U)).
% 284.90/285.12 ; Declaring s_col to be commutative.
% 284.90/285.12
% 284.90/285.12 #||
% 284.90/285.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 284.90/285.12 % SZS output start Refutation
% See solution above
% 284.90/285.12 ||#
% 284.90/285.12
% 284.90/285.12 ; Summary of computation:
% 284.90/285.12 ; 124886 formulas have been input or derived (from 673 formulas).
% 284.90/285.12 ; 15407 (12%) were retained. Of these,
% 284.90/285.12 ; 439 ( 3%) were simplified or subsumed later,
% 284.90/285.12 ; 14968 (97%) are still being kept.
% 284.90/285.12 ;
% 284.90/285.12 ; Run time in seconds excluding printing time:
% 284.90/285.12 ; 0.075 0% Read assertion file (1 call)
% 284.90/285.12 ; 0.010 0% Assert (195 calls)
% 284.90/285.12 ; 1.049 0% Process new row (73,632 calls)
% 284.90/285.12 ; 280.865 99% Resolution (1,344 calls)
% 284.90/285.12 ; 0.015 0% Paramodulation (672 calls)
% 284.90/285.12 ; 0.000 0% Factoring (13 calls)
% 284.90/285.12 ; 0.158 0% Condensing (6,179 calls)
% 284.90/285.12 ; 0.323 0% Forward subsumption (6,179 calls)
% 284.90/285.12 ; 0.086 0% Backward subsumption (2,212 calls)
% 284.90/285.12 ; 0.459 0% Clause clause subsumption (62,802 calls)
% 284.90/285.12 ; 1.145 0% Forward simplification (73,632 calls)
% 284.90/285.12 ; 0.150 0% Backward simplification (15,405 calls)
% 284.90/285.12 ; 0.021 0% Ordering (10,728 calls)
% 284.90/285.12 ; 0.001 0% Sortal reasoning (32 calls)
% 284.90/285.12 ; 0.001 0% Purity testing (1 call)
% 284.90/285.12 ; 0.286 0% Other
% 284.90/285.12 ; 284.644 Total
% 284.90/285.12 ; 284.650 Real time
% 284.90/285.12 ;
% 284.90/285.12 ; Term-hash-array has 24,171 terms in all.
% 284.90/285.12 ; Feature-vector-row-index has 2,141 entries (2,141 at peak, 2,212 added, 71 deleted).
% 284.90/285.12 ; Feature-vector-row-index has 4,123 nodes (4,123 at peak, 4,303 added, 180 deleted).
% 284.90/285.12 ; Retrieved 128,556 possibly forward subsuming rows in 6,179 calls.
% 284.90/285.12 ; Retrieved 11,820 possibly backward subsumed rows in 2,212 calls.
% 284.90/285.12 ; Path-index has 23,715 entries (23,715 at peak, 24,265 added, 550 deleted).
% 284.90/285.12 ; Path-index has 19,126 nodes (19,126 at peak, 19,359 added, 233 deleted).
% 284.90/285.12 ; Trie-index has 23,715 entries (23,715 at peak, 24,265 added, 550 deleted).
% 284.90/285.12 ; Trie-index has 112,687 nodes (112,693 at peak, 114,604 added, 1,917 deleted).
% 284.90/285.12 ; Retrieved 284,078 generalization terms in 206,477 calls.
% 284.90/285.12 ; Retrieved 30,283 instance terms in 13,192 calls.
% 284.90/285.12 ; Retrieved 435,385,597 unifiable terms in 6,175,001 calls.
% 284.90/285.12 ;
% 284.90/285.12 ; The agenda of rows to process has 3933 entries:
% 284.90/285.12 ; 175 with value 11 100 with value 28 49 with value 45
% 284.90/285.12 ; 16 with value 12 80 with value 29 36 with value 46
% 284.90/285.12 ; 214 with value 13 58 with value 30 83 with value 47
% 284.90/285.12 ; 95 with value 14 112 with value 31 1 with value 48
% 284.90/285.12 ; 410 with value 15 69 with value 32 2 with value 49
% 284.90/285.12 ; 60 with value 16 75 with value 33 1 with value 50
% 284.90/285.12 ; 181 with value 17 110 with value 34 8 with value 51
% 284.90/285.12 ; 151 with value 18 42 with value 35 1 with value 52
% 284.90/285.12 ; 506 with value 19 64 with value 36 24 with value 55
% 284.90/285.12 ; 112 with value 20 60 with value 37 6 with value 56
% 284.90/285.12 ; 146 with value 21 34 with value 38 4 with value 57
% 284.90/285.12 ; 186 with value 22 1 with value 39 4 with value 60
% 284.90/285.12 ; 129 with value 23 33 with value 40 2 with value 61
% 284.90/285.12 ; 102 with value 24 65 with value 41 8 with value 63
% 284.90/285.12 ; 64 with value 25 39 with value 42 1 with value 74
% 284.90/285.12 ; 63 with value 26 76 with value 43 2 with value 76
% 284.90/285.12 ; 54 with value 27 19 with value 44
% 284.90/285.12 ; The agenda of rows to give has 14295 entries:
% 284.90/285.12 ; 542 with value (4 10) 173 with value (4 34) 32 with value (4 58)
% 284.90/285.12 ; 633 with value (4 11) 80 with value (4 35) 5 with value (4 59)
% 284.90/285.12 ; 942 with value (4 12) 121 with value (4 36) 6 with value (4 60)
% 284.90/285.12 ; 961 with value (4 13) 86 with value (4 37) 5 with value (4 61)
% 284.90/285.12 ; 700 with value (4 14) 79 with value (4 38) 2 with value (4 62)
% 284.90/285.12 ; 507 with value (4 15) 55 with value (4 39) 6 with value (4 63)
% 284.90/285.12 ; 953 with value (4 16) 48 with value (4 40) 3 with value (4 64)
% 284.90/285.13 ; 730 with value (4 17) 108 with value (4 41) 5 with value (4 65)
% 284.90/285.13 ; 554 with value (4 18) 78 with value (4 42) 2 with value (4 68)
% 284.90/285.13 ; 444 with value (4 19) 31 with value (4 43) 8 with value (4 69)
% 284.90/285.13 ; 831 with value (4 20) 43 with value (4 44) 4 with value (4 70)
% 284.90/285.13 ; 355 with value (4 21) 40 with value (4 45) 2 with value (4 73)
% 284.90/285.13 ; 235 with value (4 22) 46 with value (4 46) 3 with value (4 74)
% 284.90/285.13 ; 569 with value (4 23) 46 with value (4 47) 5 with value (4 79)
% 284.90/285.13 ; 276 with value (4 24) 30 with value (4 48) 1 with value (4 91)
% 284.90/285.13 ; 1368 with value (4 25) 24 with value (4 49) 4 with value (4 95)
% 284.90/285.13 ; 276 with value (4 26) 42 with value (4 50) 1 with value (4 97)
% 284.90/285.13 ; 1221 with value (4 27) 13 with value (4 51) 3 with value (4 98)
% 284.90/285.13 ; 211 with value (4 28) 14 with value (4 52) 2 with value (4 99)
% 284.90/285.13 ; 143 with value (4 29) 40 with value (4 53) 1 with value (4 102)
% 284.90/285.13 ; 105 with value (4 30) 24 with value (4 54) 3 with value (4 103)
% 284.90/285.13 ; 125 with value (4 31) 27 with value (4 55) 4 with value (4 110)
% 284.90/285.13 ; 134 with value (4 32) 9 with value (4 56) 4 with value (4 115)
% 284.90/285.13 ; 109 with value (4 33) 3 with value (4 57)
% 284.90/285.13 Evaluation took:
% 284.90/285.13 284.652 seconds of real time
% 284.90/285.13 283.4994 seconds of user run time
% 284.90/285.13 1.148125 seconds of system run time
% 284.90/285.13 [Run times include 8.824 seconds GC run time.]
% 284.90/285.13 0 calls to %EVAL
% 284.90/285.13 0 page faults and
% 284.90/285.13 7,858,452,096 bytes consed.
% 284.90/285.13 :PROOF-FOUND
% 284.90/285.13 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T08:08:34
% 284.90/285.13 :PROOF-FOUND
% 284.90/285.13 *
%------------------------------------------------------------------------------