TSTP Solution File: LCL034-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:19:41 EDT 2022
% Result : Unsatisfiable 152.63s 152.84s
% Output : Refutation 152.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 28 ( 27 unt; 0 nHn; 4 RR)
% Number of literals : 30 ( 0 equ; 4 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 48 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_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).
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(8,plain,
~ is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U))),implies(implies(implies(a,b),a),a))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,4,prove_c0_3]) ).
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(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(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(8576,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5818,27]) ).
cnf(8764,plain,
is_a_theorem(implies(implies(X,falsehood),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8576,6501]) ).
cnf(10984,plain,
is_a_theorem(implies(X,implies(implies(X,falsehood),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6796,8764]) ).
cnf(10985,plain,
is_a_theorem(implies(implies(implies(X,Y),X),implies(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6796,c0_CAMerideth]) ).
cnf(11372,plain,
is_a_theorem(implies(X,implies(implies(implies(implies(X,falsehood),Y),falsehood),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10984,6796]) ).
cnf(42026,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),falsehood),Z),falsehood),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11372,8576]) ).
cnf(81255,plain,
is_a_theorem(implies(implies(X,implies(X,Y)),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,42026,c0_CAMerideth]) ).
cnf(82275,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,81255,10985,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 22:54:06 EDT 2022
% 0.12/0.34 % 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 2022-07-03T22:54:06
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-03T22:54:06
% 152.63/152.84
% 152.63/152.84
% 152.63/152.84 #||
% 152.63/152.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 152.63/152.84 % SZS output start Refutation
% See solution above
% 152.75/152.92 ||#
% 152.75/152.92
% 152.75/152.92 ; Summary of computation:
% 152.75/152.92 ; 142728 formulas have been input or derived (from 679 formulas).
% 152.75/152.92 ; 82275 (58%) were retained. Of these,
% 152.75/152.92 ; 1195 ( 1%) were simplified or subsumed later,
% 152.75/152.92 ; 81080 (99%) are still being kept.
% 152.75/152.92 ;
% 152.75/152.92 ; Run time in seconds excluding printing time:
% 152.75/152.92 ; 0.002 0% Read assertion file (1 call)
% 152.75/152.92 ; 0.000 0% Assert (3 calls)
% 152.75/152.92 ; 15.162 10% Process new row (120,124 calls)
% 152.75/152.92 ; 102.648 67% Resolution (1,356 calls)
% 152.75/152.92 ; 2.504 2% Paramodulation (678 calls)
% 152.75/152.92 ; 0.000 0% Condensing (1 call)
% 152.75/152.92 ; 0.000 0% Forward subsumption (1 call)
% 152.75/152.92 ; 0.000 0% Backward subsumption (1 call)
% 152.75/152.92 ; 10.476 7% Forward simplification (120,098 calls)
% 152.75/152.92 ; 20.996 14% Backward simplification (82,275 calls)
% 152.75/152.92 ; 0.000 0% Sortal reasoning (32 calls)
% 152.75/152.92 ; 0.000 0% Purity testing (1 call)
% 152.75/152.92 ; 0.585 0% Other
% 152.75/152.92 ; 152.373 Total
% 152.75/152.92 ; 152.452 Real time
% 152.75/152.92 ;
% 152.75/152.92 ; Term-hash-array has 176,072 terms in all.
% 152.75/152.92 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 152.75/152.92 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 152.75/152.92 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 152.75/152.92 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 152.75/152.92 ; Path-index has 173,541 entries (173,541 at peak, 176,086 added, 2,545 deleted).
% 152.75/152.92 ; Path-index has 6,451 nodes (6,451 at peak, 6,591 added, 140 deleted).
% 152.75/152.92 ; Trie-index has 173,541 entries (173,541 at peak, 176,086 added, 2,545 deleted).
% 152.75/152.92 ; Trie-index has 387,938 nodes (387,938 at peak, 397,451 added, 9,513 deleted).
% 152.75/152.92 ; Retrieved 4,147,457 generalization terms in 120,095 calls.
% 152.75/152.92 ; Retrieved 1,647,753 instance terms in 82,273 calls.
% 152.75/152.92 ; Retrieved 178,677,993 unifiable terms in 41,161 calls.
% 152.75/152.92 ;
% 152.75/152.92 ; The agenda of rows to process has 1193 entries:
% 152.75/152.92 ; 4 with value 24 38 with value 39 77 with value 50
% 152.75/152.92 ; 12 with value 27 25 with value 40 34 with value 51
% 152.75/152.92 ; 1 with value 29 46 with value 41 48 with value 52
% 152.75/152.92 ; 28 with value 30 35 with value 42 38 with value 53
% 152.75/152.92 ; 92 with value 32 22 with value 43 39 with value 54
% 152.75/152.92 ; 66 with value 33 20 with value 44 52 with value 55
% 152.75/152.92 ; 8 with value 34 22 with value 45 20 with value 56
% 152.75/152.92 ; 40 with value 35 48 with value 46 31 with value 57
% 152.75/152.92 ; 58 with value 36 26 with value 47 4 with value 59
% 152.75/152.92 ; 110 with value 37 53 with value 48 1 with value 63
% 152.75/152.92 ; 46 with value 38 49 with value 49
% 152.75/152.92 ; The agenda of rows to give has 80417 entries:
% 152.75/152.92 ; 9 with value (4 34) 4074 with value (4 45) 2456 with value (4 55)
% 152.75/152.92 ; 285 with value (4 35) 6056 with value (4 46) 1917 with value (4 56)
% 152.75/152.92 ; 344 with value (4 36) 5785 with value (4 47) 421 with value (4 57)
% 152.75/152.92 ; 535 with value (4 37) 7941 with value (4 48) 186 with value (4 58)
% 152.75/152.92 ; 742 with value (4 38) 6782 with value (4 49) 80 with value (4 59)
% 152.75/152.92 ; 900 with value (4 39) 7629 with value (4 50) 29 with value (4 60)
% 152.75/152.92 ; 1383 with value (4 40) 6294 with value (4 51) 43 with value (4 61)
% 152.75/152.92 ; 1617 with value (4 41) 6576 with value (4 52) 43 with value (4 62)
% 152.75/152.92 ; 2308 with value (4 42) 5069 with value (4 53) 12 with value (4 63)
% 152.75/152.92 ; 2537 with value (4 43) 4608 with value (4 54) 2 with value (4 65)
% 152.75/152.92 ; 3754 with value (4 44)
% 152.75/152.92 Evaluation took:
% 152.75/152.92 152.457 seconds of real time
% 152.75/152.92 150.1202 seconds of user run time
% 152.75/152.92 2.332605 seconds of system run time
% 152.75/152.92 [Run times include 21.433 seconds GC run time.]
% 152.75/152.92 0 calls to %EVAL
% 152.75/152.92 0 page faults and
% 152.75/152.92 4,058,603,488 bytes consed.
% 152.75/152.92 :PROOF-FOUND
% 152.75/152.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T22:56:39
% 152.75/152.92 :PROOF-FOUND
% 152.75/152.92 *
%------------------------------------------------------------------------------