TSTP Solution File: LCL107-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL107-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:20:13 EDT 2022
% Result : Unsatisfiable 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 15 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(lg_27_1690,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X1))),equivalent(Z,equivalent(equivalent(Y,X),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690) ).
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/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,Y),equivalent(Z,X)),U)),equivalent(equivalent(equivalent(V,W),equivalent(equivalent(X1,V),equivalent(X1,W))),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,lg_27_1690,lg_27_1690]) ).
cnf(5,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(a,b),c)),equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,Y),equivalent(Z,X)),equivalent(equivalent(a,e),c))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,lg_27_1690,prove_p_1]) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(equivalent(equivalent(U,equivalent(equivalent(V,W),equivalent(V,X1))),equivalent(U,equivalent(W,X1))),Y1)),equivalent(equivalent(Y,Z),Y1))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,lg_27_1690]) ).
cnf(12,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(equivalent(Y,equivalent(Z,U)),equivalent(Y,equivalent(Z,V)))),equivalent(X,equivalent(U,V))),W),W)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,7]) ).
cnf(20,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(U,equivalent(V,X)),equivalent(U,equivalent(V,equivalent(Y,W))))),equivalent(Z,W))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,12]) ).
cnf(21,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),equivalent(Z,V)))),equivalent(X,equivalent(Y,W))),equivalent(equivalent(U,V),W))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,lg_27_1690]) ).
cnf(36,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(equivalent(equivalent(U,Y),equivalent(U,Z)),V))),V)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,20,4]) ).
cnf(50,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,21,36]) ).
cnf(51,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),U),equivalent(equivalent(X,equivalent(equivalent(V,Y),equivalent(V,Z))),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,21,4]) ).
cnf(74,plain,
is_a_theorem(equivalent(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,51,50]) ).
cnf(90,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,74,21]) ).
cnf(96,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,90,90,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL107-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jul 3 21:54:59 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T21:54:59
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-03T21:54:59
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 #||
% 0.38/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.38/0.57 ||#
% 0.38/0.57
% 0.38/0.57 ; Summary of computation:
% 0.38/0.57 ; 230 formulas have been input or derived (from 17 formulas).
% 0.38/0.57 ; 96 (42%) were retained. Of these,
% 0.38/0.57 ; 96 (100%) are still being kept.
% 0.38/0.57 ;
% 0.38/0.57 ; Run time in seconds excluding printing time:
% 0.38/0.57 ; 0.001 1% Read assertion file (1 call)
% 0.38/0.57 ; 0.001 1% Assert (3 calls)
% 0.38/0.57 ; 0.024 33% Process new row (150 calls)
% 0.38/0.57 ; 0.011 15% Resolution (32 calls)
% 0.38/0.57 ; 0.004 5% Paramodulation (16 calls)
% 0.38/0.57 ; 0.000 0% Condensing (1 call)
% 0.38/0.57 ; 0.000 0% Forward subsumption (1 call)
% 0.38/0.57 ; 0.000 0% Backward subsumption (1 call)
% 0.38/0.57 ; 0.004 5% Forward simplification (150 calls)
% 0.38/0.57 ; 0.006 8% Backward simplification (96 calls)
% 0.38/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.57 ; 0.000 0% Purity testing (1 call)
% 0.38/0.57 ; 0.022 30% Other
% 0.38/0.57 ; 0.073 Total
% 0.38/0.57 ; 0.076 Real time
% 0.38/0.57 ;
% 0.38/0.57 ; Term-hash-array has 586 terms in all.
% 0.38/0.57 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.38/0.57 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.38/0.57 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.38/0.57 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.38/0.57 ; Path-index has 590 entries (590 at peak, 590 added, 0 deleted).
% 0.38/0.57 ; Path-index has 1,369 nodes (1,369 at peak, 1,369 added, 0 deleted).
% 0.38/0.57 ; Trie-index has 590 entries (590 at peak, 590 added, 0 deleted).
% 0.38/0.57 ; Trie-index has 4,748 nodes (4,748 at peak, 4,748 added, 0 deleted).
% 0.38/0.57 ; Retrieved 119 generalization terms in 147 calls.
% 0.38/0.57 ; Retrieved 312 instance terms in 94 calls.
% 0.38/0.57 ; Retrieved 4,825 unifiable terms in 368 calls.
% 0.38/0.57 ;
% 0.38/0.57 ; The agenda of rows to process has 30 entries:
% 0.38/0.57 ; 1 with value 15 1 with value 35 1 with value 46
% 0.38/0.57 ; 1 with value 20 1 with value 37 1 with value 48
% 0.38/0.57 ; 1 with value 25 6 with value 40 1 with value 49
% 0.38/0.57 ; 4 with value 30 1 with value 41 1 with value 54
% 0.38/0.57 ; 1 with value 31 1 with value 43 1 with value 56
% 0.38/0.57 ; 3 with value 34 4 with value 45
% 0.38/0.57 ; The agenda of rows to give has 79 entries:
% 0.38/0.57 ; 3 with value (4 29) 1 with value (4 44) 1 with value (4 57)
% 0.38/0.57 ; 1 with value (4 32) 1 with value (4 45) 1 with value (4 58)
% 0.38/0.57 ; 3 with value (4 34) 8 with value (4 46) 3 with value (4 59)
% 0.38/0.57 ; 5 with value (4 36) 2 with value (4 47) 3 with value (4 60)
% 0.38/0.57 ; 4 with value (4 37) 4 with value (4 48) 1 with value (4 61)
% 0.38/0.57 ; 5 with value (4 38) 5 with value (4 49) 1 with value (4 62)
% 0.38/0.57 ; 4 with value (4 40) 1 with value (4 50) 4 with value (4 65)
% 0.38/0.57 ; 2 with value (4 41) 2 with value (4 51) 1 with value (4 66)
% 0.38/0.57 ; 4 with value (4 42) 6 with value (4 53) 1 with value (4 72)
% 0.38/0.57 ; 1 with value (4 43) 1 with value (4 54)
% 0.38/0.57 Evaluation took:
% 0.38/0.57 0.077 seconds of real time
% 0.38/0.57 0.070092 seconds of user run time
% 0.38/0.57 0.006964 seconds of system run time
% 0.38/0.57 0 calls to %EVAL
% 0.38/0.57 0 page faults and
% 0.38/0.57 5,831,232 bytes consed.
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T21:55:00
% 0.38/0.57 :PROOF-FOUND
% 0.38/0.57 *
%------------------------------------------------------------------------------