TSTP Solution File: LCL104-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL104-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 0 equ; 3 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 : 31 ( 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_4,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
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_p_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,p_4,q_3]) ).
cnf(12,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,7,7]) ).
cnf(13,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),U))),equivalent(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,q_3]) ).
cnf(26,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(36,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(Y,U))),equivalent(X,equivalent(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,26,7]) ).
cnf(65,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,36,p_4]) ).
cnf(88,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,65,65,prove_p_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL104-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Mon Jul 4 04:18:12 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.42 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 *
% 0.17/0.43 *
% 0.17/0.43 #<PACKAGE "SNARK-USER">
% 0.17/0.43 *
% 0.17/0.43 SNARK-TPTP-OPTIONS
% 0.17/0.43 *
% 0.17/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43 (USE-FACTORING :POS)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43 *
% 0.17/0.43 "."
% 0.17/0.43 *
% 0.17/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T04:18:13
% 0.17/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-04T04:18:13
% 0.17/0.46
% 0.17/0.46
% 0.17/0.46 #||
% 0.17/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % SZS output start Refutation
% See solution above
% 0.17/0.46 ||#
% 0.17/0.46
% 0.17/0.46 ; Summary of computation:
% 0.17/0.46 ; 332 formulas have been input or derived (from 17 formulas).
% 0.17/0.46 ; 88 (27%) were retained. Of these,
% 0.17/0.46 ; 88 (100%) are still being kept.
% 0.17/0.46 ;
% 0.17/0.46 ; Run time in seconds excluding printing time:
% 0.17/0.46 ; 0.001 4% Read assertion file (1 call)
% 0.17/0.46 ; 0.000 0% Assert (4 calls)
% 0.17/0.46 ; 0.006 21% Process new row (220 calls)
% 0.17/0.46 ; 0.004 14% Resolution (32 calls)
% 0.17/0.46 ; 0.001 4% Paramodulation (16 calls)
% 0.17/0.46 ; 0.000 0% Condensing (1 call)
% 0.17/0.46 ; 0.000 0% Forward subsumption (1 call)
% 0.17/0.46 ; 0.000 0% Backward subsumption (1 call)
% 0.17/0.46 ; 0.002 7% Forward simplification (220 calls)
% 0.17/0.46 ; 0.001 4% Backward simplification (88 calls)
% 0.17/0.46 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.46 ; 0.000 0% Purity testing (1 call)
% 0.17/0.46 ; 0.013 46% Other
% 0.17/0.46 ; 0.028 Total
% 0.17/0.46 ; 0.030 Real time
% 0.17/0.46 ;
% 0.17/0.46 ; Term-hash-array has 410 terms in all.
% 0.17/0.46 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.17/0.46 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.17/0.46 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.17/0.46 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.17/0.46 ; Path-index has 414 entries (414 at peak, 414 added, 0 deleted).
% 0.17/0.46 ; Path-index has 697 nodes (697 at peak, 697 added, 0 deleted).
% 0.17/0.46 ; Trie-index has 414 entries (414 at peak, 414 added, 0 deleted).
% 0.17/0.46 ; Trie-index has 2,135 nodes (2,135 at peak, 2,135 added, 0 deleted).
% 0.17/0.46 ; Retrieved 389 generalization terms in 217 calls.
% 0.17/0.46 ; Retrieved 170 instance terms in 86 calls.
% 0.17/0.46 ; Retrieved 3,916 unifiable terms in 385 calls.
% 0.17/0.46 ;
% 0.17/0.46 ; The agenda of rows to process has 39 entries:
% 0.17/0.46 ; 1 with value 17 3 with value 31 1 with value 37
% 0.17/0.46 ; 4 with value 22 4 with value 32 1 with value 40
% 0.17/0.46 ; 1 with value 23 1 with value 36 1 with value 44
% 0.17/0.46 ; 22 with value 27
% 0.17/0.46 ; The agenda of rows to give has 71 entries:
% 0.17/0.46 ; 3 with value (4 26) 2 with value (4 33) 2 with value (4 39)
% 0.17/0.46 ; 1 with value (4 27) 3 with value (4 34) 2 with value (4 40)
% 0.17/0.46 ; 2 with value (4 28) 7 with value (4 35) 2 with value (4 41)
% 0.17/0.46 ; 5 with value (4 29) 7 with value (4 36) 3 with value (4 42)
% 0.17/0.46 ; 12 with value (4 30) 3 with value (4 37) 3 with value (4 43)
% 0.17/0.46 ; 6 with value (4 31) 5 with value (4 38) 1 with value (4 44)
% 0.17/0.46 ; 2 with value (4 32)
% 0.17/0.46 Evaluation took:
% 0.17/0.46 0.031 seconds of real time
% 0.17/0.46 0.02606 seconds of user run time
% 0.17/0.46 0.004129 seconds of system run time
% 0.17/0.46 0 calls to %EVAL
% 0.17/0.46 0 page faults and
% 0.17/0.46 4,208,912 bytes consed.
% 0.17/0.46 :PROOF-FOUND
% 0.17/0.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T04:18:13
% 0.17/0.46 :PROOF-FOUND
% 0.17/0.46 *
%------------------------------------------------------------------------------