%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO009-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 06:13:03 EDT 2022
% Result : Unsatisfiable 5.79s 6.05s
% Output : Refutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 18 unt; 1 nHn; 21 RR)
% Number of literals : 33 ( 6 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(r2_1,axiom,
between(X,Y,reflection(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_1) ).
cnf(r4,axiom,
( X != reflection(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
cnf(b1,axiom,
( ~ between(X,Y,Z)
| X != Z
| between(U,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1) ).
cnf(t1,axiom,
( ~ between(X,Y,Z)
| between(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(b5,axiom,
( ~ between(X,Y,Z)
| ~ between(X,Z,U)
| between(Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(t7,axiom,
( ~ between(X,Y,Z)
| ~ between(U,Y,Z)
| Y = Z
| between(X,U,Y)
| between(U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(c_not_between_a_and_d,hypothesis,
~ between(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_between_a_and_d) ).
cnf(prove_d_between_a_and_c,negated_conjecture,
~ between(a,d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_a_and_c) ).
cnf(104,plain,
between(e,c,a),
inference('HYPERRESOLVE',[status(thm)],[t1,c_between_a_and_e]) ).
cnf(105,plain,
between(e,d,a),
inference('HYPERRESOLVE',[status(thm)],[t1,d_between_a_and_e]) ).
cnf(106,plain,
~ between(d,c,a),
inference('UR-RESOLVE',[status(thm)],[t1,c_not_between_a_and_d]) ).
cnf(107,plain,
~ between(c,d,a),
inference('UR-RESOLVE',[status(thm)],[t1,prove_d_between_a_and_c]) ).
cnf(174,plain,
between(c,e,reflection(a,e)),
inference('HYPERRESOLVE',[status(thm)],[b5,c_between_a_and_e,r2_1]) ).
cnf(175,plain,
between(d,e,reflection(a,e)),
inference('HYPERRESOLVE',[status(thm)],[b5,d_between_a_and_e,r2_1]) ).
cnf(1470,plain,
e != a,
inference('UR-RESOLVE',[status(thm)],[b1,106,104]) ).
cnf(1498,plain,
~ between(e,d,c),
inference('UR-RESOLVE',[status(thm)],[b5,106,104]) ).
cnf(1535,plain,
~ between(e,c,d),
inference('UR-RESOLVE',[status(thm)],[b5,107,105]) ).
cnf(1705,plain,
e != reflection(a,e),
inference('UR-RESOLVE',[status(thm)],[r4,1470]) ).
cnf(2290,plain,
~ between(c,d,e),
inference('UR-RESOLVE',[status(thm)],[t1,1498]) ).
cnf(2308,plain,
~ between(d,c,e),
inference('UR-RESOLVE',[status(thm)],[t1,1535]) ).
cnf(4164,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[t7,175,174,2308,2290]),1705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO009-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 : Sat Jun 18 00:21:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T00:21:31
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T00:21:31
% 0.19/0.47
% 5.79/6.05 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 5.79/6.05
% 5.79/6.05 #||
% 5.79/6.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/6.05 % SZS output start Refutation
% See solution above
% 5.79/6.05 ||#
% 5.79/6.05
% 5.79/6.05 ; Summary of computation:
% 5.79/6.05 ; 22274 formulas have been input or derived (from 154 formulas).
% 5.79/6.05 ; 4164 (19%) were retained. Of these,
% 5.79/6.05 ; 251 ( 6%) were simplified or subsumed later,
% 5.79/6.05 ; 3913 (94%) are still being kept.
% 5.79/6.05 ;
% 5.79/6.05 ; Run time in seconds excluding printing time:
% 5.79/6.05 ; 0.009 0% Read assertion file (1 call)
% 5.79/6.05 ; 0.001 0% Assert (83 calls)
% 5.79/6.05 ; 0.285 5% Process new row (16,223 calls)
% 5.79/6.05 ; 4.876 87% Resolution (306 calls)
% 5.79/6.05 ; 0.002 0% Paramodulation (153 calls)
% 5.79/6.05 ; 0.000 0% Factoring (1 call)
% 5.79/6.05 ; 0.007 0% Condensing (699 calls)
% 5.79/6.05 ; 0.043 1% Forward subsumption (699 calls)
% 5.79/6.05 ; 0.035 1% Backward subsumption (613 calls)
% 5.79/6.05 ; 0.016 0% Clause clause subsumption (9,372 calls)
% 5.79/6.05 ; 0.198 4% Forward simplification (16,223 calls)
% 5.79/6.05 ; 0.053 1% Backward simplification (4,158 calls)
% 5.79/6.05 ; 0.004 0% Ordering (1,273 calls)
% 5.79/6.05 ; 0.000 0% Sortal reasoning (32 calls)
% 5.79/6.05 ; 0.000 0% Purity testing (1 call)
% 5.79/6.05 ; 0.073 1% Other
% 5.79/6.05 ; 5.602 Total
% 5.79/6.05 ; 5.603 Real time
% 5.79/6.05 ;
% 5.79/6.06 ; Term-hash-array has 7,104 terms in all.
% 5.79/6.06 ; Feature-vector-row-index has 498 entries (498 at peak, 613 added, 115 deleted).
% 5.79/6.06 ; Feature-vector-row-index has 2,654 nodes (2,654 at peak, 3,302 added, 648 deleted).
% 5.79/6.06 ; Retrieved 8,061 possibly forward subsuming rows in 699 calls.
% 5.79/6.06 ; Retrieved 1,834 possibly backward subsumed rows in 613 calls.
% 5.79/6.06 ; Path-index has 6,891 entries (6,891 at peak, 7,307 added, 416 deleted).
% 5.79/6.06 ; Path-index has 4,867 nodes (4,867 at peak, 5,098 added, 231 deleted).
% 5.79/6.06 ; Trie-index has 6,891 entries (6,891 at peak, 7,307 added, 416 deleted).
% 5.79/6.06 ; Trie-index has 44,086 nodes (44,086 at peak, 45,993 added, 1,907 deleted).
% 5.79/6.06 ; Retrieved 95,623 generalization terms in 35,407 calls.
% 5.79/6.06 ; Retrieved 5,042 instance terms in 3,544 calls.
% 5.79/6.06 ; Retrieved 10,091,284 unifiable terms in 146,493 calls.
% 5.79/6.06 ;
% 5.79/6.06 ; The agenda of rows to process has 375 entries:
% 5.79/6.06 ; 9 with value 11 10 with value 26 1 with value 50
% 5.79/6.06 ; 7 with value 12 5 with value 27 2 with value 52
% 5.79/6.06 ; 19 with value 13 1 with value 28 2 with value 54
% 5.79/6.06 ; 14 with value 14 4 with value 29 1 with value 56
% 5.79/6.06 ; 8 with value 15 16 with value 30 3 with value 58
% 5.79/6.06 ; 38 with value 16 3 with value 31 6 with value 62
% 5.79/6.06 ; 25 with value 17 4 with value 32 1 with value 64
% 5.79/6.06 ; 8 with value 18 11 with value 33 2 with value 66
% 5.79/6.06 ; 28 with value 19 3 with value 34 1 with value 70
% 5.79/6.06 ; 19 with value 20 2 with value 35 1 with value 72
% 5.79/6.06 ; 21 with value 21 3 with value 36 1 with value 74
% 5.79/6.06 ; 34 with value 22 1 with value 37 2 with value 76
% 5.79/6.06 ; 5 with value 23 1 with value 39 1 with value 78
% 5.79/6.06 ; 18 with value 24 5 with value 42 1 with value 82
% 5.79/6.06 ; 13 with value 25 14 with value 48 1 with value 92
% 5.79/6.06 ; The agenda of rows to give has 3759 entries:
% 5.79/6.06 ; 54 with value (4 9) 2 with value (4 37) 5 with value (4 65)
% 5.79/6.06 ; 151 with value (4 10) 23 with value (4 38) 5 with value (4 66)
% 5.79/6.06 ; 139 with value (4 11) 10 with value (4 39) 1 with value (4 67)
% 5.79/6.06 ; 258 with value (4 12) 26 with value (4 40) 1 with value (4 68)
% 5.79/6.06 ; 213 with value (4 13) 6 with value (4 41) 4 with value (4 69)
% 5.79/6.06 ; 218 with value (4 14) 35 with value (4 42) 4 with value (4 70)
% 5.79/6.06 ; 149 with value (4 15) 3 with value (4 43) 1 with value (4 71)
% 5.79/6.06 ; 116 with value (4 16) 15 with value (4 44) 4 with value (4 72)
% 5.79/6.06 ; 226 with value (4 17) 8 with value (4 45) 1 with value (4 73)
% 5.79/6.06 ; 218 with value (4 18) 42 with value (4 46) 1 with value (4 74)
% 5.79/6.06 ; 227 with value (4 19) 10 with value (4 47) 2 with value (4 75)
% 5.79/6.06 ; 118 with value (4 20) 27 with value (4 48) 3 with value (4 76)
% 5.79/6.06 ; 150 with value (4 21) 2 with value (4 49) 5 with value (4 77)
% 5.79/6.06 ; 123 with value (4 22) 20 with value (4 50) 6 with value (4 78)
% 5.79/6.06 ; 137 with value (4 23) 11 with value (4 51) 1 with value (4 81)
% 5.79/6.06 ; 80 with value (4 24) 20 with value (4 52) 1 with value (4 82)
% 5.79/6.06 ; 133 with value (4 25) 7 with value (4 53) 1 with value (4 84)
% 5.79/6.06 ; 71 with value (4 26) 10 with value (4 54) 2 with value (4 85)
% 5.79/6.06 ; 108 with value (4 27) 4 with value (4 55) 1 with value (4 87)
% 5.79/6.06 ; 31 with value (4 28) 6 with value (4 56) 1 with value (4 88)
% 5.79/6.06 ; 72 with value (4 29) 14 with value (4 57) 2 with value (4 90)
% 5.79/6.06 ; 65 with value (4 30) 11 with value (4 58) 1 with value (4 91)
% 5.79/6.06 ; 58 with value (4 31) 4 with value (4 59) 1 with value (4 92)
% 5.79/6.06 ; 45 with value (4 32) 2 with value (4 60) 1 with value (4 95)
% 5.79/6.06 ; 42 with value (4 33) 3 with value (4 61) 1 with value (4 102)
% 5.79/6.06 ; 37 with value (4 34) 8 with value (4 62) 1 with value (4 108)
% 5.79/6.06 ; 63 with value (4 35) 2 with value (4 63) 1 with value (4 111)
% 5.79/6.06 ; 66 with value (4 36) 2 with value (4 64)
% 5.79/6.06 Evaluation took:
% 5.79/6.06 5.605 seconds of real time
% 5.79/6.06 5.462139 seconds of user run time
% 5.79/6.06 0.141852 seconds of system run time
% 5.79/6.06 [Run times include 0.218 seconds GC run time.]
% 5.79/6.06 0 calls to %EVAL
% 5.79/6.06 0 page faults and
% 5.79/6.06 261,844,528 bytes consed.
% 5.79/6.06 :PROOF-FOUND
% 5.79/6.06 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T00:21:37
% 5.79/6.06 :PROOF-FOUND
% 5.79/6.06 *
%------------------------------------------------------------------------------