TSTP Solution File: LCL036-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:19:42 EDT 2022
% Result : Unsatisfiable 5.04s 5.27s
% Output : Refutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 25 ( 24 unt; 0 nHn; 5 RR)
% Number of literals : 27 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 41 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(c0_CAMerideth,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMerideth) ).
cnf(prove_c0_5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_5) ).
cnf(4,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,c0_CAMerideth,c0_CAMerideth]) ).
cnf(7,plain,
is_a_theorem(implies(implies(implies(X,implies(falsehood,Y)),Z),implies(U,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,c0_CAMerideth]) ).
cnf(17,plain,
is_a_theorem(implies(X,implies(Y,implies(falsehood,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).
cnf(24,plain,
is_a_theorem(implies(X,implies(falsehood,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17,7]) ).
cnf(27,plain,
is_a_theorem(implies(falsehood,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,24,7]) ).
cnf(28,plain,
is_a_theorem(implies(implies(implies(falsehood,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,24,c0_CAMerideth]) ).
cnf(31,plain,
~ is_a_theorem(implies(implies(falsehood,X),implies(implies(implies(a,falsehood),falsehood),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,27,prove_c0_5]) ).
cnf(57,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,28,4]) ).
cnf(69,plain,
is_a_theorem(implies(X,implies(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,57,27]) ).
cnf(86,plain,
is_a_theorem(implies(implies(implies(X,implies(implies(implies(Y,Z),implies(U,falsehood)),V)),Y),implies(U,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,69,c0_CAMerideth]) ).
cnf(177,plain,
~ is_a_theorem(implies(implies(implies(implies(a,X),implies(implies(implies(a,falsehood),falsehood),falsehood)),Y),falsehood)),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,31,c0_CAMerideth]) ).
cnf(5200,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(Y,U),implies(X,falsehood)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,86,c0_CAMerideth]) ).
cnf(5527,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(U,implies(Z,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5200,69]) ).
cnf(5528,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(implies(falsehood,Z),falsehood)),implies(U,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5200,28]) ).
cnf(5818,plain,
is_a_theorem(implies(X,implies(implies(implies(Y,Z),implies(U,falsehood)),implies(U,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5527,5200]) ).
cnf(6296,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),Y),implies(U,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5528,c0_CAMerideth]) ).
cnf(6501,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6296,c0_CAMerideth]) ).
cnf(6796,plain,
is_a_theorem(implies(implies(implies(implies(X,falsehood),Y),Z),implies(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6501,c0_CAMerideth]) ).
cnf(8768,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5818,27]) ).
cnf(8949,plain,
is_a_theorem(implies(implies(X,falsehood),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8768,6501]) ).
cnf(11112,plain,
is_a_theorem(implies(X,implies(implies(X,falsehood),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6796,8949]) ).
cnf(11466,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,11112,11112,177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 : Mon Jul 4 10:56:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:56:45
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-04T10:56:45
% 5.04/5.27
% 5.04/5.27
% 5.04/5.27 #||
% 5.04/5.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.04/5.27 % SZS output start Refutation
% See solution above
% 5.04/5.27 ||#
% 5.04/5.27
% 5.04/5.27 ; Summary of computation:
% 5.04/5.27 ; 20025 formulas have been input or derived (from 267 formulas).
% 5.04/5.27 ; 11466 (57%) were retained. Of these,
% 5.04/5.28 ; 596 ( 5%) were simplified or subsumed later,
% 5.04/5.28 ; 10870 (95%) are still being kept.
% 5.04/5.28 ;
% 5.04/5.28 ; Run time in seconds excluding printing time:
% 5.04/5.28 ; 0.001 0% Read assertion file (1 call)
% 5.04/5.28 ; 0.000 0% Assert (3 calls)
% 5.04/5.28 ; 1.227 25% Process new row (17,367 calls)
% 5.04/5.28 ; 1.789 37% Resolution (532 calls)
% 5.04/5.28 ; 0.113 2% Paramodulation (266 calls)
% 5.04/5.28 ; 0.000 0% Condensing (1 call)
% 5.04/5.28 ; 0.000 0% Forward subsumption (1 call)
% 5.04/5.28 ; 0.000 0% Backward subsumption (1 call)
% 5.04/5.28 ; 0.443 9% Forward simplification (17,343 calls)
% 5.04/5.28 ; 1.168 24% Backward simplification (11,466 calls)
% 5.04/5.28 ; 0.001 0% Sortal reasoning (32 calls)
% 5.04/5.28 ; 0.000 0% Purity testing (1 call)
% 5.04/5.28 ; 0.079 2% Other
% 5.04/5.28 ; 4.821 Total
% 5.04/5.28 ; 4.824 Real time
% 5.04/5.28 ;
% 5.04/5.28 ; Term-hash-array has 25,856 terms in all.
% 5.04/5.28 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 5.04/5.28 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 5.04/5.28 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 5.04/5.28 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 5.04/5.28 ; Path-index has 24,589 entries (24,589 at peak, 25,866 added, 1,277 deleted).
% 5.04/5.28 ; Path-index has 2,300 nodes (2,300 at peak, 2,433 added, 133 deleted).
% 5.04/5.28 ; Trie-index has 24,589 entries (24,589 at peak, 25,866 added, 1,277 deleted).
% 5.04/5.28 ; Trie-index has 73,773 nodes (73,773 at peak, 78,538 added, 4,765 deleted).
% 5.04/5.28 ; Retrieved 138,352 generalization terms in 17,340 calls.
% 5.04/5.28 ; Retrieved 230,005 instance terms in 11,464 calls.
% 5.04/5.28 ; Retrieved 5,045,833 unifiable terms in 7,794 calls.
% 5.04/5.28 ;
% 5.04/5.28 ; The agenda of rows to process has 378 entries:
% 5.04/5.28 ; 5 with value 18 11 with value 32 10 with value 42
% 5.04/5.28 ; 2 with value 19 22 with value 33 22 with value 43
% 5.04/5.28 ; 5 with value 21 5 with value 34 20 with value 44
% 5.04/5.28 ; 8 with value 24 24 with value 35 22 with value 45
% 5.04/5.28 ; 1 with value 25 26 with value 36 19 with value 46
% 5.04/5.28 ; 1 with value 26 3 with value 37 27 with value 47
% 5.04/5.28 ; 14 with value 27 21 with value 38 20 with value 48
% 5.04/5.28 ; 4 with value 29 21 with value 39 1 with value 49
% 5.04/5.28 ; 20 with value 30 13 with value 40 7 with value 50
% 5.04/5.28 ; 4 with value 31 20 with value 41
% 5.04/5.28 ; The agenda of rows to give has 10629 entries:
% 5.04/5.28 ; 1 with value (4 28) 399 with value (4 39) 589 with value (4 50)
% 5.04/5.28 ; 6 with value (4 29) 476 with value (4 40) 452 with value (4 51)
% 5.04/5.28 ; 18 with value (4 30) 533 with value (4 41) 285 with value (4 52)
% 5.04/5.28 ; 26 with value (4 31) 607 with value (4 42) 147 with value (4 53)
% 5.04/5.28 ; 77 with value (4 32) 628 with value (4 43) 84 with value (4 54)
% 5.04/5.28 ; 82 with value (4 33) 765 with value (4 44) 39 with value (4 55)
% 5.04/5.28 ; 133 with value (4 34) 726 with value (4 45) 5 with value (4 56)
% 5.04/5.28 ; 215 with value (4 35) 887 with value (4 46) 14 with value (4 57)
% 5.04/5.28 ; 223 with value (4 36) 869 with value (4 47) 4 with value (4 59)
% 5.04/5.28 ; 314 with value (4 37) 861 with value (4 48) 2 with value (4 61)
% 5.04/5.28 ; 348 with value (4 38) 812 with value (4 49) 2 with value (4 63)
% 5.04/5.28 Evaluation took:
% 5.04/5.28 4.826 seconds of real time
% 5.04/5.28 4.637992 seconds of user run time
% 5.04/5.28 0.185906 seconds of system run time
% 5.04/5.28 [Run times include 0.557 seconds GC run time.]
% 5.04/5.28 0 calls to %EVAL
% 5.04/5.28 0 page faults and
% 5.04/5.28 324,758,456 bytes consed.
% 5.04/5.28 :PROOF-FOUND
% 5.04/5.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:56:49
% 5.04/5.28 :PROOF-FOUND
% 5.04/5.28 *
%------------------------------------------------------------------------------