TSTP Solution File: LCL250-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL250-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:21:39 EDT 2022
% Result : Unsatisfiable 36.77s 36.94s
% Output : Refutation 36.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 35 unt; 0 nHn; 7 RR)
% Number of literals : 40 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(implies(or(X,X),X)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X,or(Y,X))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X,Y),or(Y,X))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(and_defn,axiom,
and(X,Y) = not(or(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(10,plain,
and(X,Y) = not(implies(X,not(Y))),
inference('REWRITE',[status(thm)],[and_defn,implies_definition,theory(equality)]) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(q,r),implies(and(p,q),r))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(12,plain,
theorem(implies(or(X,X),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).
cnf(13,plain,
theorem(implies(X,or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).
cnf(14,plain,
theorem(implies(or(X,Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).
cnf(19,plain,
implies(implies(X,not(Y)),Z) = or(and(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[implies_definition,10,theory(equality)]) ).
cnf(22,plain,
theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).
cnf(25,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(30,plain,
theorem(implies(X,implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(40,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[14,implies_definition,theory(equality)]) ).
cnf(41,plain,
theorem(implies(or(X,not(Y)),implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[14,implies_definition,theory(equality)]) ).
cnf(297,plain,
theorem(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(310,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,25,12]) ).
cnf(317,plain,
theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(332,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[310,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(764,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,332,13]) ).
cnf(792,plain,
theorem(or(X,not(X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,764,40]) ).
cnf(819,plain,
theorem(implies(implies(X,not(Y)),not(and(X,Y)))),
inference('PARAMODULATE',[status(thm)],[792,19,theory(equality)]) ).
cnf(2945,plain,
theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[297,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(14925,plain,
theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2945,25]) ).
cnf(14926,plain,
theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2945,317]) ).
cnf(62575,plain,
theorem(implies(implies(not(X),Y),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,14925,792]) ).
cnf(76530,plain,
~ theorem(implies(and(p,q),q)),
inference('UR-RESOLVE',[status(thm)],[rule_2,14926,prove_this]) ).
cnf(76534,plain,
theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,14926,30]) ).
cnf(76846,plain,
~ theorem(or(q,not(and(p,q)))),
inference('UR-RESOLVE',[status(thm)],[rule_2,76530,41]) ).
cnf(77207,plain,
~ theorem(implies(not(q),not(and(p,q)))),
inference('UR-RESOLVE',[status(thm)],[rule_2,76846,62575]) ).
cnf(81234,plain,
theorem(implies(not(X),not(and(Y,X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,76534,819]) ).
cnf(81235,plain,
$false,
inference('REWRITE',[status(thm)],[77207,81234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL250-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.32 % Computer : n018.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sun Jul 3 17:03:05 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-03T17:03:05
% 0.18/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-03T17:03:05
% 36.77/36.94
% 36.77/36.94
% 36.77/36.94 #||
% 36.77/36.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.77/36.94 % SZS output start Refutation
% See solution above
% 36.77/36.94 ||#
% 36.77/36.94
% 36.77/36.94 ; Summary of computation:
% 36.77/36.94 ; 142957 formulas have been input or derived (from 653 formulas).
% 36.77/36.94 ; 81235 (57%) were retained. Of these,
% 36.77/36.94 ; 98 ( 0%) were simplified or subsumed later,
% 36.77/36.94 ; 81137 (100%) are still being kept.
% 36.77/36.94 ;
% 36.77/36.94 ; Run time in seconds excluding printing time:
% 36.77/36.94 ; 0.003 0% Read assertion file (1 call)
% 36.77/36.94 ; 0.000 0% Assert (10 calls)
% 36.77/36.94 ; 10.243 28% Process new row (123,122 calls)
% 36.77/36.94 ; 15.072 41% Resolution (1,304 calls)
% 36.77/36.94 ; 0.737 2% Paramodulation (652 calls)
% 36.77/36.94 ; 0.000 0% Condensing (2 calls)
% 36.77/36.94 ; 0.000 0% Forward subsumption (2 calls)
% 36.77/36.94 ; 0.000 0% Backward subsumption (2 calls)
% 36.77/36.94 ; 4.826 13% Forward simplification (123,120 calls)
% 36.77/36.94 ; 5.071 14% Backward simplification (81,234 calls)
% 36.77/36.94 ; 0.010 0% Ordering (1,337 calls)
% 36.77/36.94 ; 0.000 0% Sortal reasoning (32 calls)
% 36.77/36.94 ; 0.000 0% Purity testing (1 call)
% 36.77/36.94 ; 0.531 1% Other
% 36.77/36.94 ; 36.493 Total
% 36.77/36.94 ; 36.500 Real time
% 36.77/36.95 ;
% 36.77/36.95 ; Term-hash-array has 172,278 terms in all.
% 36.77/36.95 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 36.77/36.95 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 36.77/36.95 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 36.77/36.95 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 36.77/36.95 ; Path-index has 172,076 entries (172,078 at peak, 172,283 added, 207 deleted).
% 36.77/36.95 ; Path-index has 58,410 nodes (58,410 at peak, 58,410 added, 0 deleted).
% 36.77/36.95 ; Trie-index has 172,076 entries (172,078 at peak, 172,283 added, 207 deleted).
% 36.77/36.95 ; Trie-index has 461,065 nodes (461,071 at peak, 461,092 added, 27 deleted).
% 36.77/36.95 ; Retrieved 1,250,158 generalization terms in 423,524 calls.
% 36.77/36.95 ; Retrieved 285,321 instance terms in 81,231 calls.
% 36.77/36.95 ; Retrieved 15,296,812 unifiable terms in 34,656 calls.
% 36.77/36.95 ;
% 36.77/36.95 ; The agenda of rows to process has 554 entries:
% 36.77/36.95 ; 24 with value 19 14 with value 25 40 with value 31
% 36.77/36.95 ; 40 with value 20 20 with value 26 71 with value 32
% 36.77/36.95 ; 80 with value 21 14 with value 27 6 with value 33
% 36.77/36.95 ; 41 with value 22 19 with value 28 4 with value 34
% 36.77/36.95 ; 45 with value 23 33 with value 29 6 with value 37
% 36.77/36.95 ; 63 with value 24 34 with value 30
% 36.77/36.95 ; The agenda of rows to give has 80485 entries:
% 36.77/36.95 ; 21 with value (4 19) 12664 with value (4 32) 18 with value (4 45)
% 36.77/36.95 ; 123 with value (4 20) 7503 with value (4 33) 11 with value (4 46)
% 36.77/36.95 ; 544 with value (4 21) 3740 with value (4 34) 20 with value (4 47)
% 36.77/36.95 ; 712 with value (4 22) 1055 with value (4 35) 10 with value (4 48)
% 36.77/36.95 ; 1132 with value (4 23) 214 with value (4 36) 5 with value (4 49)
% 36.77/36.95 ; 1748 with value (4 24) 283 with value (4 37) 7 with value (4 50)
% 36.77/36.95 ; 2162 with value (4 25) 267 with value (4 38) 2 with value (4 51)
% 36.77/36.95 ; 3225 with value (4 26) 110 with value (4 39) 4 with value (4 52)
% 36.77/36.95 ; 4965 with value (4 27) 77 with value (4 40) 31 with value (4 53)
% 36.77/36.95 ; 6813 with value (4 28) 71 with value (4 41) 1 with value (4 55)
% 36.77/36.95 ; 8765 with value (4 29) 49 with value (4 42) 4 with value (4 56)
% 36.77/36.95 ; 12270 with value (4 30) 78 with value (4 43) 5 with value (4 59)
% 36.77/36.95 ; 11762 with value (4 31) 14 with value (4 44)
% 36.77/36.95 Evaluation took:
% 36.77/36.95 36.505 seconds of real time
% 36.77/36.95 34.90828 seconds of user run time
% 36.77/36.95 1.592329 seconds of system run time
% 36.77/36.95 [Run times include 9.004 seconds GC run time.]
% 36.77/36.95 0 calls to %EVAL
% 36.77/36.95 0 page faults and
% 36.77/36.95 1,454,371,440 bytes consed.
% 36.77/36.95 :PROOF-FOUND
% 36.77/36.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T17:03:41
% 36.77/36.95 :PROOF-FOUND
% 36.77/36.95 *
%------------------------------------------------------------------------------