TSTP Solution File: LCL368-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL368-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : Sun Jul 17 14:22:25 EDT 2022
% Result : Unsatisfiable 58.94s 59.11s
% Output : Refutation 58.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 26 unt; 0 nHn; 6 RR)
% Number of literals : 29 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 66 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_23,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23) ).
cnf(8,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(not(X),X),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_2]) ).
cnf(9,plain,
is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).
cnf(10,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_1]) ).
cnf(12,plain,
~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_23,cn_1]) ).
cnf(40,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,cn_1]) ).
cnf(57,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,8]) ).
cnf(282,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,9]) ).
cnf(283,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,10]) ).
cnf(286,plain,
~ is_a_theorem(implies(implies(implies(implies(x,z),X),implies(y,X)),implies(x,implies(y,z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,10,12]) ).
cnf(308,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,282,9]) ).
cnf(331,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,308,cn_1]) ).
cnf(789,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,40,10]) ).
cnf(1308,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,283,57]) ).
cnf(2809,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,789,331]) ).
cnf(2816,plain,
~ is_a_theorem(implies(x,implies(not(implies(implies(x,z),z)),implies(implies(x,z),z)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,789,286]) ).
cnf(2885,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2809,cn_1]) ).
cnf(14148,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1308,331]) ).
cnf(14357,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14148,cn_1]) ).
cnf(27664,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14357,1308]) ).
cnf(28011,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27664,789]) ).
cnf(31428,plain,
is_a_theorem(implies(implies(X,Y),implies(not(Y),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,28011,10]) ).
cnf(86750,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,2885,31428,2816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL368-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n005.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 : Mon Jul 4 04:04:07 EDT 2022
% 0.14/0.34 % 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 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T04:04:07
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-04T04:04:07
% 58.94/59.11
% 58.94/59.11
% 58.94/59.11 #||
% 58.94/59.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.94/59.11 % SZS output start Refutation
% See solution above
% 58.94/59.12 ||#
% 58.94/59.12
% 58.94/59.12 ; Summary of computation:
% 58.94/59.12 ; 127004 formulas have been input or derived (from 664 formulas).
% 58.94/59.12 ; 86750 (68%) were retained. Of these,
% 58.94/59.12 ; 3401 ( 4%) were simplified or subsumed later,
% 58.94/59.12 ; 83349 (96%) are still being kept.
% 58.94/59.12 ;
% 58.94/59.12 ; Run time in seconds excluding printing time:
% 58.94/59.12 ; 0.001 0% Read assertion file (1 call)
% 58.94/59.12 ; 0.000 0% Assert (5 calls)
% 58.94/59.12 ; 12.141 21% Process new row (116,702 calls)
% 58.94/59.12 ; 29.192 50% Resolution (1,326 calls)
% 58.94/59.12 ; 1.092 2% Paramodulation (663 calls)
% 58.94/59.12 ; 0.000 0% Condensing (1 call)
% 58.94/59.12 ; 0.000 0% Forward subsumption (1 call)
% 58.94/59.12 ; 0.000 0% Backward subsumption (1 call)
% 58.94/59.12 ; 5.076 9% Forward simplification (116,647 calls)
% 58.94/59.12 ; 10.548 18% Backward simplification (86,750 calls)
% 58.94/59.12 ; 0.000 0% Sortal reasoning (32 calls)
% 58.94/59.12 ; 0.001 0% Purity testing (1 call)
% 58.94/59.12 ; 0.578 1% Other
% 58.94/59.12 ; 58.629 Total
% 58.94/59.12 ; 58.640 Real time
% 58.94/59.12 ;
% 58.94/59.12 ; Term-hash-array has 185,041 terms in all.
% 58.94/59.12 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 58.94/59.12 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 58.94/59.12 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 58.94/59.12 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 58.94/59.12 ; Path-index has 177,914 entries (177,914 at peak, 185,130 added, 7,216 deleted).
% 58.94/59.12 ; Path-index has 31,797 nodes (31,797 at peak, 31,896 added, 99 deleted).
% 58.94/59.12 ; Trie-index has 177,914 entries (177,914 at peak, 185,130 added, 7,216 deleted).
% 58.94/59.12 ; Trie-index has 625,309 nodes (625,309 at peak, 646,457 added, 21,148 deleted).
% 58.94/59.12 ; Retrieved 1,376,700 generalization terms in 116,644 calls.
% 58.94/59.12 ; Retrieved 781,104 instance terms in 86,748 calls.
% 58.94/59.12 ; Retrieved 57,187,100 unifiable terms in 37,350 calls.
% 58.94/59.12 ;
% 58.94/59.12 ; The agenda of rows to process has 1115 entries:
% 58.94/59.12 ; 1 with value 14 27 with value 26 31 with value 37
% 58.94/59.12 ; 1 with value 15 15 with value 27 77 with value 38
% 58.94/59.12 ; 4 with value 17 28 with value 28 95 with value 39
% 58.94/59.12 ; 4 with value 18 43 with value 29 147 with value 40
% 58.94/59.12 ; 8 with value 19 44 with value 30 75 with value 41
% 58.94/59.12 ; 10 with value 20 93 with value 31 13 with value 42
% 58.94/59.12 ; 10 with value 21 81 with value 32 12 with value 43
% 58.94/59.12 ; 28 with value 22 87 with value 33 6 with value 44
% 58.94/59.12 ; 19 with value 23 38 with value 34 1 with value 49
% 58.94/59.12 ; 27 with value 24 32 with value 35 1 with value 50
% 58.94/59.12 ; 29 with value 25 27 with value 36 1 with value 52
% 58.94/59.12 ; The agenda of rows to give has 82730 entries:
% 58.94/59.12 ; 202 with value (4 25) 553 with value (4 44) 40 with value (4 62)
% 58.94/59.12 ; 365 with value (4 26) 245 with value (4 45) 15 with value (4 63)
% 58.94/59.12 ; 541 with value (4 27) 171 with value (4 46) 15 with value (4 64)
% 58.94/59.12 ; 915 with value (4 28) 170 with value (4 47) 34 with value (4 65)
% 58.94/59.12 ; 1249 with value (4 29) 150 with value (4 48) 5 with value (4 66)
% 58.94/59.12 ; 1594 with value (4 30) 131 with value (4 49) 10 with value (4 67)
% 58.94/59.12 ; 2040 with value (4 31) 120 with value (4 50) 19 with value (4 68)
% 58.94/59.12 ; 3049 with value (4 32) 98 with value (4 51) 1 with value (4 69)
% 58.94/59.12 ; 4458 with value (4 33) 119 with value (4 52) 4 with value (4 70)
% 58.94/59.12 ; 5355 with value (4 34) 72 with value (4 53) 7 with value (4 71)
% 58.94/59.12 ; 6621 with value (4 35) 76 with value (4 54) 2 with value (4 72)
% 58.94/59.12 ; 7404 with value (4 36) 53 with value (4 55) 9 with value (4 74)
% 58.94/59.12 ; 7541 with value (4 37) 62 with value (4 56) 8 with value (4 75)
% 58.94/59.12 ; 7308 with value (4 38) 23 with value (4 57) 2 with value (4 76)
% 58.94/59.12 ; 7567 with value (4 39) 46 with value (4 58) 8 with value (4 77)
% 58.94/59.12 ; 8562 with value (4 40) 54 with value (4 59) 6 with value (4 78)
% 58.94/59.12 ; 7419 with value (4 41) 17 with value (4 60) 2 with value (4 79)
% 58.94/59.12 ; 5663 with value (4 42) 15 with value (4 61) 1 with value (4 80)
% 58.94/59.12 ; 2514 with value (4 43)
% 58.94/59.12 Evaluation took:
% 58.94/59.12 58.645 seconds of real time
% 58.94/59.12 56.59001 seconds of user run time
% 58.94/59.12 2.046742 seconds of system run time
% 58.94/59.12 [Run times include 14.089 seconds GC run time.]
% 58.94/59.12 0 calls to %EVAL
% 58.94/59.12 0 page faults and
% 58.94/59.12 2,093,558,832 bytes consed.
% 58.94/59.12 :PROOF-FOUND
% 58.94/59.12 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T04:05:06
% 58.94/59.12 :PROOF-FOUND
% 58.94/59.12 *
%------------------------------------------------------------------------------