TSTP Solution File: COL030-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Fri Jul 15 00:41:38 EDT 2022
% Result : Unsatisfiable 253.92s 254.13s
% Output : Refutation 253.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
cnf(l_definition,axiom,
apply(apply(l,X),Y) = apply(X,apply(Y,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_definition) ).
cnf(prove_fixed_point,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(6,plain,
apply(apply(l,X),apply(Y,Z)) = apply(X,apply(apply(apply(s,Y),Y),Z)),
inference('PARAMODULATE',[status(thm)],[l_definition,s_definition,theory(equality)]) ).
cnf(101,plain,
apply(apply(apply(s,X),X),f(apply(apply(s,X),X))) != apply(apply(apply(s,l),X),f(apply(apply(s,X),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[prove_fixed_point,6,theory(equality)]),s_definition,theory(equality)]) ).
cnf(37955,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[101,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 : Tue May 31 09:06:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:06:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-31T09:06:58
% 253.92/254.13
% 253.92/254.13
% 253.92/254.13 #||
% 253.92/254.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 253.92/254.13 % SZS output start Refutation
% See solution above
% 253.92/254.19 ||#
% 253.92/254.19
% 253.92/254.19 ; Summary of computation:
% 253.92/254.19 ; 92229 formulas have been input or derived (from 136 formulas).
% 253.92/254.19 ; 37955 (41%) were retained. Of these,
% 253.92/254.19 ; 2626 ( 7%) were simplified or subsumed later,
% 253.92/254.19 ; 35329 (93%) are still being kept.
% 253.92/254.19 ;
% 253.92/254.19 ; Run time in seconds excluding printing time:
% 253.92/254.19 ; 0.001 0% Read assertion file (1 call)
% 253.92/254.19 ; 0.000 0% Assert (3 calls)
% 253.92/254.19 ; 11.186 4% Process new row (91,943 calls)
% 253.92/254.19 ; 0.311 0% Resolution (270 calls)
% 253.92/254.19 ; 7.275 3% Paramodulation (135 calls)
% 253.92/254.19 ; 100.721 40% Forward simplification (91,133 calls)
% 253.92/254.19 ; 30.898 12% Backward simplification (37,955 calls)
% 253.92/254.19 ; 102.734 41% Ordering (7,232,589 calls)
% 253.92/254.19 ; 0.000 0% Sortal reasoning (32 calls)
% 253.92/254.19 ; 0.000 0% Purity testing (1 call)
% 253.92/254.19 ; 0.522 0% Other
% 253.92/254.19 ; 253.648 Total
% 253.92/254.19 ; 253.718 Real time
% 253.92/254.19 ;
% 253.92/254.19 ; Term-hash-array has 122,377 terms in all.
% 253.92/254.19 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 253.92/254.19 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 253.92/254.19 ; Path-index has 115,521 entries (115,521 at peak, 123,749 added, 8,228 deleted).
% 253.92/254.19 ; Path-index has 4,080 nodes (4,080 at peak, 4,210 added, 130 deleted).
% 253.92/254.19 ; Trie-index has 115,521 entries (115,521 at peak, 123,749 added, 8,228 deleted).
% 253.92/254.19 ; Trie-index has 1,026,104 nodes (1,026,104 at peak, 1,101,340 added, 75,236 deleted).
% 253.92/254.19 ; Retrieved 29,284,734 generalization terms in 1,728,988 calls.
% 253.92/254.19 ; Retrieved 2,073,477 instance terms in 109,972 calls.
% 253.92/254.19 ; Retrieved 3,202,635 unifiable terms in 1,730 calls.
% 253.92/254.19 ;
% 253.92/254.19 ; The agenda of rows to process has 138 entries:
% 253.92/254.19 ; 2 with value 39 5 with value 76 1 with value 92
% 253.92/254.19 ; 8 with value 48 11 with value 77 5 with value 93
% 253.92/254.19 ; 2 with value 49 18 with value 78 5 with value 94
% 253.92/254.19 ; 1 with value 56 11 with value 79 5 with value 95
% 253.92/254.19 ; 7 with value 63 1 with value 81 4 with value 96
% 253.92/254.19 ; 8 with value 64 1 with value 84 1 with value 98
% 253.92/254.19 ; 1 with value 66 1 with value 85 1 with value 100
% 253.92/254.19 ; 3 with value 68 1 with value 86 1 with value 101
% 253.92/254.19 ; 4 with value 71 2 with value 87 4 with value 102
% 253.92/254.19 ; 1 with value 72 1 with value 89 5 with value 103
% 253.92/254.19 ; 3 with value 73 2 with value 90 1 with value 104
% 253.92/254.19 ; 1 with value 74 7 with value 91 2 with value 120
% 253.92/254.19 ; 1 with value 75
% 253.92/254.19 ; The agenda of rows to give has 35196 entries:
% 253.92/254.19 ; 52 with value (4 32) 1290 with value (4 54) 143 with value (4 76)
% 253.92/254.19 ; 72 with value (4 33) 1359 with value (4 55) 69 with value (4 77)
% 253.92/254.19 ; 84 with value (4 34) 999 with value (4 56) 77 with value (4 78)
% 253.92/254.19 ; 135 with value (4 35) 1428 with value (4 57) 60 with value (4 79)
% 253.92/254.19 ; 193 with value (4 36) 1079 with value (4 58) 70 with value (4 80)
% 253.92/254.19 ; 234 with value (4 37) 1012 with value (4 59) 30 with value (4 81)
% 253.92/254.19 ; 336 with value (4 38) 761 with value (4 60) 68 with value (4 82)
% 253.92/254.19 ; 422 with value (4 39) 921 with value (4 61) 15 with value (4 83)
% 253.92/254.19 ; 589 with value (4 40) 781 with value (4 62) 19 with value (4 84)
% 253.92/254.19 ; 638 with value (4 41) 606 with value (4 63) 13 with value (4 85)
% 253.92/254.19 ; 787 with value (4 42) 507 with value (4 64) 14 with value (4 86)
% 253.92/254.19 ; 846 with value (4 43) 605 with value (4 65) 2 with value (4 87)
% 253.92/254.19 ; 1168 with value (4 44) 492 with value (4 66) 20 with value (4 88)
% 253.92/254.19 ; 1454 with value (4 45) 406 with value (4 67) 3 with value (4 89)
% 253.92/254.19 ; 1675 with value (4 46) 307 with value (4 68) 35 with value (4 90)
% 253.92/254.19 ; 1577 with value (4 47) 303 with value (4 69) 9 with value (4 91)
% 253.92/254.19 ; 1546 with value (4 48) 280 with value (4 70) 7 with value (4 92)
% 253.92/254.19 ; 1891 with value (4 49) 156 with value (4 71) 1 with value (4 94)
% 253.92/254.19 ; 1781 with value (4 50) 174 with value (4 72) 1 with value (4 96)
% 253.92/254.19 ; 1878 with value (4 51) 148 with value (4 73) 4 with value (4 101)
% 253.92/254.19 ; 1593 with value (4 52) 130 with value (4 74) 1 with value (4 104)
% 253.92/254.19 ; 1734 with value (4 53) 106 with value (4 75)
% 253.92/254.19 Evaluation took:
% 253.92/254.19 253.722 seconds of real time
% 253.92/254.19 241.1822 seconds of user run time
% 253.92/254.19 12.530899 seconds of system run time
% 253.92/254.19 [Run times include 59.869 seconds GC run time.]
% 253.92/254.19 0 calls to %EVAL
% 253.92/254.19 0 page faults and
% 253.92/254.19 11,236,015,328 bytes consed.
% 253.92/254.19 :PROOF-FOUND
% 253.92/254.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:11:12
% 253.92/254.19 :PROOF-FOUND
% 253.92/254.19 *
%------------------------------------------------------------------------------