TSTP Solution File: LCL181-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL181-3 : TPTP v8.1.0. Released v2.3.0.
% 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 14:20:50 EDT 2022
% Result : Unsatisfiable 63.22s 63.40s
% Output : Refutation 63.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 35 ( 33 unt; 0 nHn; 5 RR)
% Number of literals : 38 ( 1 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 69 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(implies(or(X,X),X)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X,or(Y,X))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X,Y),or(Y,X))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(not(p),q),implies(not(q),p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(10,plain,
theorem(implies(or(X,X),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).
cnf(11,plain,
theorem(implies(X,or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).
cnf(12,plain,
theorem(implies(or(X,Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).
cnf(18,plain,
theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).
cnf(21,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(52,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).
cnf(112,plain,
theorem(implies(implies(X,not(Y)),implies(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[52,implies_definition,theory(equality)]) ).
cnf(255,plain,
theorem(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(256,plain,
theorem(implies(implies(X,or(Y,Z)),or(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(268,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(271,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,12]) ).
cnf(290,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[268,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(681,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,290,11]) ).
cnf(709,plain,
theorem(or(X,not(X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,681,52]) ).
cnf(713,plain,
theorem(implies(X,not(not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,681,112]) ).
cnf(881,plain,
theorem(implies(or(X,Y),or(X,not(not(Y))))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,713,21]) ).
cnf(2756,plain,
theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[255,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(3102,plain,
theorem(implies(implies(X,or(Y,Z)),implies(X,or(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[271,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(14578,plain,
~ theorem(implies(not(q),implies(implies(not(p),q),p))),
inference('UR-RESOLVE',[status(thm)],[rule_2,2756,prove_this]) ).
cnf(14581,plain,
theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2756,21]) ).
cnf(15460,plain,
theorem(implies(implies(X,or(Y,Z)),or(implies(X,Z),Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,3102,256]) ).
cnf(52869,plain,
theorem(implies(implies(not(X),Y),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,14581,709]) ).
cnf(53145,plain,
theorem(implies(implies(not(X),Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,52869,3102]) ).
cnf(69217,plain,
theorem(or(implies(implies(not(X),Y),X),Y)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,53145,15460]) ).
cnf(93322,plain,
theorem(implies(or(X,Y),implies(not(Y),X))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,881,3102]),implies_definition,theory(equality)]) ).
cnf(105734,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_2,93322,14578]),69217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL181-3 : TPTP v8.1.0. Released v2.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 19:36:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-02T19:36:05
% 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 2022-07-02T19:36:05
% 63.22/63.40
% 63.22/63.40
% 63.22/63.40 #||
% 63.22/63.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.22/63.40 % SZS output start Refutation
% See solution above
% 63.22/63.40 ||#
% 63.22/63.40
% 63.22/63.40 ; Summary of computation:
% 63.22/63.40 ; 182310 formulas have been input or derived (from 740 formulas).
% 63.22/63.40 ; 105734 (58%) were retained. Of these,
% 63.22/63.40 ; 11 ( 0%) were simplified or subsumed later,
% 63.22/63.40 ; 105723 (100%) are still being kept.
% 63.22/63.40 ;
% 63.22/63.40 ; Run time in seconds excluding printing time:
% 63.22/63.40 ; 0.002 0% Read assertion file (1 call)
% 63.22/63.40 ; 0.001 0% Assert (9 calls)
% 63.22/63.40 ; 16.029 25% Process new row (158,336 calls)
% 63.22/63.40 ; 28.444 45% Resolution (1,478 calls)
% 63.22/63.40 ; 2.518 4% Paramodulation (739 calls)
% 63.22/63.40 ; 0.000 0% Condensing (2 calls)
% 63.22/63.40 ; 0.000 0% Forward subsumption (2 calls)
% 63.22/63.40 ; 0.000 0% Backward subsumption (2 calls)
% 63.22/63.40 ; 6.674 11% Forward simplification (158,336 calls)
% 63.22/63.40 ; 8.586 14% Backward simplification (105,734 calls)
% 63.22/63.40 ; 0.003 0% Ordering (662 calls)
% 63.22/63.40 ; 0.000 0% Sortal reasoning (32 calls)
% 63.22/63.40 ; 0.000 0% Purity testing (1 call)
% 63.22/63.40 ; 0.676 1% Other
% 63.22/63.40 ; 62.933 Total
% 63.22/63.40 ; 62.932 Real time
% 63.22/63.41 ;
% 63.22/63.41 ; Term-hash-array has 223,588 terms in all.
% 63.22/63.41 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 63.22/63.41 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 63.22/63.41 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 63.22/63.41 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 63.22/63.41 ; Path-index has 223,575 entries (223,575 at peak, 223,595 added, 20 deleted).
% 63.22/63.41 ; Path-index has 47,281 nodes (47,281 at peak, 47,281 added, 0 deleted).
% 63.22/63.41 ; Trie-index has 223,575 entries (223,575 at peak, 223,595 added, 20 deleted).
% 63.22/63.41 ; Trie-index has 561,773 nodes (561,773 at peak, 561,773 added, 0 deleted).
% 63.22/63.41 ; Retrieved 2,104,001 generalization terms in 472,292 calls.
% 63.22/63.41 ; Retrieved 393,571 instance terms in 105,731 calls.
% 63.22/63.41 ; Retrieved 25,949,177 unifiable terms in 49,720 calls.
% 63.22/63.41 ;
% 63.22/63.41 ; The agenda of rows to process has 592 entries:
% 63.22/63.41 ; 11 with value 22 20 with value 28 33 with value 33
% 63.22/63.41 ; 68 with value 23 32 with value 29 11 with value 34
% 63.22/63.41 ; 82 with value 24 55 with value 30 3 with value 35
% 63.22/63.41 ; 78 with value 25 62 with value 31 1 with value 36
% 63.22/63.41 ; 44 with value 26 37 with value 32 1 with value 38
% 63.22/63.41 ; 54 with value 27
% 63.22/63.41 ; The agenda of rows to give has 104984 entries:
% 63.22/63.41 ; 1 with value (4 19) 3426 with value (4 35) 33 with value (4 50)
% 63.22/63.41 ; 34 with value (4 20) 925 with value (4 36) 26 with value (4 51)
% 63.22/63.41 ; 481 with value (4 21) 409 with value (4 37) 3 with value (4 52)
% 63.22/63.41 ; 761 with value (4 22) 245 with value (4 38) 40 with value (4 53)
% 63.22/63.41 ; 1179 with value (4 23) 177 with value (4 39) 40 with value (4 54)
% 63.22/63.41 ; 1869 with value (4 24) 108 with value (4 40) 6 with value (4 55)
% 63.22/63.41 ; 2047 with value (4 25) 104 with value (4 41) 4 with value (4 56)
% 63.22/63.41 ; 2984 with value (4 26) 72 with value (4 42) 20 with value (4 57)
% 63.22/63.41 ; 4534 with value (4 27) 93 with value (4 43) 15 with value (4 58)
% 63.22/63.41 ; 6262 with value (4 28) 39 with value (4 44) 2 with value (4 59)
% 63.22/63.41 ; 9319 with value (4 29) 25 with value (4 45) 1 with value (4 60)
% 63.22/63.41 ; 13065 with value (4 30) 59 with value (4 46) 2 with value (4 61)
% 63.22/63.41 ; 15382 with value (4 31) 38 with value (4 47) 1 with value (4 62)
% 63.22/63.41 ; 18902 with value (4 32) 20 with value (4 48) 1 with value (4 63)
% 63.22/63.41 ; 13936 with value (4 33) 13 with value (4 49) 1 with value (4 65)
% 63.22/63.41 ; 8280 with value (4 34)
% 63.22/63.41 Evaluation took:
% 63.22/63.41 62.94 seconds of real time
% 63.22/63.41 60.694218 seconds of user run time
% 63.22/63.41 2.247576 seconds of system run time
% 63.22/63.41 [Run times include 14.415 seconds GC run time.]
% 63.22/63.41 0 calls to %EVAL
% 63.22/63.41 0 page faults and
% 63.22/63.41 2,046,109,920 bytes consed.
% 63.22/63.41 :PROOF-FOUND
% 63.22/63.41 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T19:37:08
% 63.22/63.41 :PROOF-FOUND
% 63.22/63.41 *
%------------------------------------------------------------------------------