TSTP Solution File: LCL401-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:22:37 EDT 2022
% Result : Unsatisfiable 64.93s 65.22s
% Output : Refutation 65.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 38 ( 37 unt; 0 nHn; 8 RR)
% Number of literals : 40 ( 0 equ; 8 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_67,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_67) ).
cnf(9,plain,
~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(not(implies(x,y)),not(y)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_67,cn_2]) ).
cnf(12,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(13,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(14,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(52,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_1]) ).
cnf(70,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,cn_2]) ).
cnf(74,plain,
is_a_theorem(implies(X,implies(implies(not(not(X)),not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,12]) ).
cnf(85,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,70,cn_3]) ).
cnf(103,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,85,cn_1]) ).
cnf(391,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,103,13]) ).
cnf(656,plain,
~ is_a_theorem(implies(not(implies(x,y)),implies(not(not(y)),not(y)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9,cn_1]) ).
cnf(932,plain,
is_a_theorem(implies(implies(X,not(Y)),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,13]) ).
cnf(934,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,14,14]) ).
cnf(1000,plain,
is_a_theorem(implies(X,implies(Y,implies(not(X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,932,13]) ).
cnf(1067,plain,
is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1000,cn_1]) ).
cnf(2708,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,52,14]) ).
cnf(4460,plain,
is_a_theorem(implies(implies(X,implies(not(not(Y)),not(Y))),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,934,74]) ).
cnf(6472,plain,
is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2708,1067]) ).
cnf(6473,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2708,391]) ).
cnf(6620,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6472,934]) ).
cnf(7004,plain,
is_a_theorem(implies(X,implies(Y,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6473,70]) ).
cnf(19119,plain,
is_a_theorem(implies(not(X),implies(X,implies(Y,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4460,1067]) ).
cnf(19407,plain,
is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(not(X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19119,cn_1]) ).
cnf(29789,plain,
is_a_theorem(implies(not(X),implies(Y,implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19407,4460]) ).
cnf(30273,plain,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,29789,2708]) ).
cnf(33055,plain,
is_a_theorem(implies(implies(X,Y),implies(not(Y),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,30273,14]) ).
cnf(33056,plain,
is_a_theorem(implies(implies(X,Y),implies(not(not(X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,30273,52]) ).
cnf(45422,plain,
~ is_a_theorem(implies(not(not(y)),implies(x,y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,33055,656]) ).
cnf(46623,plain,
~ is_a_theorem(implies(y,implies(x,y))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,33056,45422]) ).
cnf(47075,plain,
~ is_a_theorem(implies(not(implies(y,implies(x,y))),implies(y,implies(x,y)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,46623,cn_2]) ).
cnf(68074,plain,
is_a_theorem(implies(X,implies(Y,implies(Z,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6620,7004]) ).
cnf(68743,plain,
is_a_theorem(implies(not(implies(X,implies(Y,Z))),implies(Z,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,68074,33055]) ).
cnf(68744,plain,
$false,
inference('REWRITE',[status(thm)],[47075,68743]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 12:33:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 *
% 0.18/0.43 *
% 0.18/0.44 #<PACKAGE "SNARK-USER">
% 0.18/0.44 *
% 0.18/0.44 SNARK-TPTP-OPTIONS
% 0.18/0.44 *
% 0.18/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44 (USE-FACTORING :POS)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44 *
% 0.18/0.44 "."
% 0.18/0.44 *
% 0.18/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T12:33:38
% 0.18/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-04T12:33:38
% 64.93/65.22
% 64.93/65.22
% 64.93/65.22 #||
% 64.93/65.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.93/65.22 % SZS output start Refutation
% See solution above
% 65.12/65.37 ||#
% 65.12/65.37
% 65.12/65.37 ; Summary of computation:
% 65.12/65.37 ; 101710 formulas have been input or derived (from 575 formulas).
% 65.12/65.37 ; 68744 (68%) were retained. Of these,
% 65.12/65.37 ; 2441 ( 4%) were simplified or subsumed later,
% 65.12/65.37 ; 66303 (96%) are still being kept.
% 65.12/65.37 ;
% 65.12/65.37 ; Run time in seconds excluding printing time:
% 65.12/65.37 ; 0.002 0% Read assertion file (1 call)
% 65.12/65.37 ; 0.000 0% Assert (5 calls)
% 65.12/65.37 ; 17.914 28% Process new row (93,088 calls)
% 65.12/65.37 ; 30.445 47% Resolution (1,148 calls)
% 65.12/65.37 ; 1.460 2% Paramodulation (574 calls)
% 65.12/65.37 ; 0.000 0% Condensing (1 call)
% 65.12/65.37 ; 0.000 0% Forward subsumption (1 call)
% 65.12/65.37 ; 0.000 0% Backward subsumption (1 call)
% 65.12/65.37 ; 5.275 8% Forward simplification (93,025 calls)
% 65.12/65.37 ; 9.062 14% Backward simplification (68,744 calls)
% 65.12/65.37 ; 0.000 0% Sortal reasoning (32 calls)
% 65.12/65.37 ; 0.000 0% Purity testing (1 call)
% 65.12/65.37 ; 0.535 1% Other
% 65.12/65.37 ; 64.693 Total
% 65.12/65.37 ; 64.935 Real time
% 65.12/65.38 ;
% 65.12/65.38 ; Term-hash-array has 147,395 terms in all.
% 65.12/65.38 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 65.12/65.38 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 65.12/65.38 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 65.12/65.38 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 65.12/65.38 ; Path-index has 142,148 entries (142,149 at peak, 147,472 added, 5,324 deleted).
% 65.12/65.38 ; Path-index has 31,198 nodes (31,198 at peak, 31,216 added, 18 deleted).
% 65.12/65.38 ; Trie-index has 142,148 entries (142,149 at peak, 147,472 added, 5,324 deleted).
% 65.12/65.38 ; Trie-index has 610,626 nodes (610,631 at peak, 628,086 added, 17,460 deleted).
% 65.12/65.38 ; Retrieved 1,096,227 generalization terms in 93,022 calls.
% 65.12/65.38 ; Retrieved 396,071 instance terms in 68,742 calls.
% 65.12/65.38 ; Retrieved 40,561,555 unifiable terms in 29,923 calls.
% 65.12/65.38 ;
% 65.12/65.38 ; The agenda of rows to process has 756 entries:
% 65.12/65.38 ; 14 with value 26 53 with value 32 68 with value 37
% 65.12/65.38 ; 14 with value 27 61 with value 33 28 with value 38
% 65.12/65.38 ; 5 with value 28 131 with value 34 32 with value 39
% 65.12/65.38 ; 55 with value 29 66 with value 35 5 with value 40
% 65.12/65.38 ; 39 with value 30 90 with value 36 3 with value 41
% 65.12/65.38 ; 92 with value 31
% 65.12/65.38 ; The agenda of rows to give has 65746 entries:
% 65.12/65.38 ; 3 with value (4 22) 1965 with value (4 43) 30 with value (4 63)
% 65.12/65.38 ; 3 with value (4 23) 506 with value (4 44) 27 with value (4 64)
% 65.12/65.38 ; 8 with value (4 24) 207 with value (4 45) 40 with value (4 65)
% 65.12/65.38 ; 121 with value (4 25) 199 with value (4 46) 9 with value (4 66)
% 65.12/65.38 ; 249 with value (4 26) 144 with value (4 47) 13 with value (4 67)
% 65.12/65.38 ; 420 with value (4 27) 195 with value (4 48) 21 with value (4 68)
% 65.12/65.38 ; 683 with value (4 28) 129 with value (4 49) 9 with value (4 69)
% 65.12/65.38 ; 964 with value (4 29) 127 with value (4 50) 8 with value (4 70)
% 65.12/65.38 ; 1148 with value (4 30) 113 with value (4 51) 24 with value (4 71)
% 65.12/65.38 ; 1302 with value (4 31) 121 with value (4 52) 19 with value (4 72)
% 65.12/65.38 ; 2037 with value (4 32) 88 with value (4 53) 7 with value (4 73)
% 65.12/65.38 ; 2945 with value (4 33) 66 with value (4 54) 8 with value (4 74)
% 65.12/65.38 ; 3447 with value (4 34) 43 with value (4 55) 22 with value (4 75)
% 65.12/65.38 ; 4401 with value (4 35) 52 with value (4 56) 3 with value (4 76)
% 65.12/65.38 ; 5341 with value (4 36) 23 with value (4 57) 13 with value (4 77)
% 65.12/65.38 ; 6068 with value (4 37) 39 with value (4 58) 8 with value (4 78)
% 65.12/65.38 ; 6426 with value (4 38) 42 with value (4 59) 1 with value (4 79)
% 65.12/65.38 ; 6608 with value (4 39) 33 with value (4 60) 2 with value (4 80)
% 65.12/65.38 ; 7712 with value (4 40) 37 with value (4 61) 2 with value (4 81)
% 65.12/65.38 ; 6506 with value (4 41) 25 with value (4 62) 2 with value (4 84)
% 65.12/65.38 ; 4932 with value (4 42)
% 65.12/65.38 Evaluation took:
% 65.12/65.38 64.94 seconds of real time
% 65.12/65.38 62.804592 seconds of user run time
% 65.12/65.38 2.050557 seconds of system run time
% 65.12/65.38 [Run times include 15.095 seconds GC run time.]
% 65.12/65.38 0 calls to %EVAL
% 65.12/65.38 0 page faults and
% 65.12/65.38 1,653,318,088 bytes consed.
% 65.12/65.38 :PROOF-FOUND
% 65.12/65.38 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T12:34:43
% 65.12/65.38 :PROOF-FOUND
% 65.12/65.38 *
%------------------------------------------------------------------------------