TSTP Solution File: LCL103-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL103-1 : 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 : Sun Jul 17 14:20:12 EDT 2022
% Result : Unsatisfiable 16.34s 16.52s
% Output : Refutation 16.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 20 ( 19 unt; 0 nHn; 5 RR)
% Number of literals : 22 ( 0 equ; 5 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(p_1,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),equivalent(equivalent(X,U),Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1) ).
cnf(q_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(5,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),U)),equivalent(equivalent(equivalent(Z,Y),X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,p_1,q_3]) ).
cnf(11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(X,equivalent(equivalent(Z,Y),U))),U)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5,5]) ).
cnf(21,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,p_1]) ).
cnf(22,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),V))),equivalent(equivalent(equivalent(Y,equivalent(U,Z)),X),V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,p_1]) ).
cnf(27,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,21,p_1]) ).
cnf(29,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,5]) ).
cnf(30,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(X,equivalent(equivalent(U,Y),equivalent(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,27]) ).
cnf(33,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),V))),equivalent(X,equivalent(equivalent(equivalent(U,Z),Y),V)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,5]) ).
cnf(35,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),U)),equivalent(X,equivalent(equivalent(V,Z),equivalent(equivalent(Y,V),U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,p_1]) ).
cnf(38,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Y),X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,29,p_1]) ).
cnf(313,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,Z)),equivalent(Y,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,30,38]) ).
cnf(341,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,X),Y),Z),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,313,5]) ).
cnf(380,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,341,p_1]) ).
cnf(1391,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(c,b),e)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,22,prove_lg_2]) ).
cnf(10952,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(equivalent(c,b),e))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,33,1391]) ).
cnf(12268,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,35,380,10952]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL103-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 10:11:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-03T10:11:20
% 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 2022-07-03T10:11:20
% 16.34/16.52
% 16.34/16.52
% 16.34/16.52 #||
% 16.34/16.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.34/16.52 % SZS output start Refutation
% See solution above
% 16.34/16.52 ||#
% 16.34/16.52
% 16.34/16.52 ; Summary of computation:
% 16.34/16.52 ; 61720 formulas have been input or derived (from 215 formulas).
% 16.34/16.52 ; 12268 (20%) were retained. Of these,
% 16.34/16.52 ; 12268 (100%) are still being kept.
% 16.34/16.52 ;
% 16.34/16.52 ; Run time in seconds excluding printing time:
% 16.34/16.52 ; 0.001 0% Read assertion file (1 call)
% 16.34/16.52 ; 0.000 0% Assert (4 calls)
% 16.34/16.52 ; 1.649 10% Process new row (53,944 calls)
% 16.34/16.52 ; 11.404 71% Resolution (428 calls)
% 16.34/16.52 ; 0.497 3% Paramodulation (214 calls)
% 16.34/16.52 ; 0.000 0% Condensing (1 call)
% 16.34/16.52 ; 0.000 0% Forward subsumption (1 call)
% 16.34/16.52 ; 0.000 0% Backward subsumption (1 call)
% 16.34/16.52 ; 1.262 8% Forward simplification (53,944 calls)
% 16.34/16.52 ; 1.065 7% Backward simplification (12,268 calls)
% 16.34/16.52 ; 0.000 0% Sortal reasoning (32 calls)
% 16.34/16.52 ; 0.001 0% Purity testing (1 call)
% 16.34/16.52 ; 0.163 1% Other
% 16.34/16.52 ; 16.042 Total
% 16.34/16.52 ; 16.051 Real time
% 16.34/16.52 ;
% 16.34/16.52 ; Term-hash-array has 38,521 terms in all.
% 16.34/16.52 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 16.34/16.52 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 16.34/16.52 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 16.34/16.52 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 16.34/16.52 ; Path-index has 38,525 entries (38,525 at peak, 38,525 added, 0 deleted).
% 16.34/16.52 ; Path-index has 2,758 nodes (2,758 at peak, 2,758 added, 0 deleted).
% 16.34/16.52 ; Trie-index has 38,525 entries (38,525 at peak, 38,525 added, 0 deleted).
% 16.34/16.52 ; Trie-index has 78,057 nodes (78,057 at peak, 78,057 added, 0 deleted).
% 16.34/16.52 ; Retrieved 857,899 generalization terms in 53,941 calls.
% 16.34/16.52 ; Retrieved 174,484 instance terms in 12,266 calls.
% 16.34/16.52 ; Retrieved 16,226,423 unifiable terms in 33,633 calls.
% 16.34/16.52 ;
% 16.34/16.52 ; The agenda of rows to process has 659 entries:
% 16.34/16.52 ; 1 with value 16 20 with value 31 8 with value 42
% 16.34/16.52 ; 6 with value 20 24 with value 32 8 with value 43
% 16.34/16.52 ; 1 with value 21 16 with value 33 32 with value 44
% 16.34/16.52 ; 6 with value 22 38 with value 34 30 with value 45
% 16.34/16.52 ; 5 with value 24 60 with value 35 18 with value 46
% 16.34/16.52 ; 6 with value 25 114 with value 36 1 with value 48
% 16.34/16.52 ; 4 with value 26 22 with value 37 3 with value 49
% 16.34/16.52 ; 14 with value 27 8 with value 38 7 with value 50
% 16.34/16.52 ; 1 with value 28 82 with value 39 6 with value 51
% 16.34/16.52 ; 6 with value 29 62 with value 40 2 with value 54
% 16.34/16.52 ; 14 with value 30 34 with value 41
% 16.34/16.52 ; The agenda of rows to give has 12053 entries:
% 16.34/16.52 ; 103 with value (4 31) 691 with value (4 39) 235 with value (4 47)
% 16.34/16.52 ; 107 with value (4 32) 1854 with value (4 40) 347 with value (4 48)
% 16.34/16.52 ; 111 with value (4 33) 2337 with value (4 41) 259 with value (4 49)
% 16.34/16.52 ; 253 with value (4 34) 602 with value (4 42) 96 with value (4 50)
% 16.34/16.52 ; 685 with value (4 35) 250 with value (4 43) 94 with value (4 51)
% 16.34/16.52 ; 1013 with value (4 36) 425 with value (4 44) 32 with value (4 52)
% 16.34/16.52 ; 531 with value (4 37) 588 with value (4 45) 138 with value (4 53)
% 16.34/16.52 ; 292 with value (4 38) 868 with value (4 46) 142 with value (4 54)
% 16.34/16.52 Evaluation took:
% 16.34/16.52 16.052 seconds of real time
% 16.34/16.52 15.709901 seconds of user run time
% 16.34/16.52 0.334767 seconds of system run time
% 16.34/16.52 [Run times include 0.996 seconds GC run time.]
% 16.34/16.52 0 calls to %EVAL
% 16.34/16.52 0 page faults and
% 16.34/16.52 600,570,744 bytes consed.
% 16.34/16.52 :PROOF-FOUND
% 16.34/16.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T10:11:36
% 16.34/16.52 :PROOF-FOUND
% 16.34/16.52 *
%------------------------------------------------------------------------------