TSTP Solution File: LCL186-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL186-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:20:53 EDT 2022
% Result : Unsatisfiable 1.07s 1.27s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 25 unt; 0 nHn; 4 RR)
% Number of literals : 30 ( 1 equ; 4 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 7 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(not(p),implies(p,q))),
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(13,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)],[13,implies_definition,theory(equality)]) ).
cnf(376,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(394,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(395,plain,
theorem(implies(or(X,Y),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,11]) ).
cnf(397,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,13]) ).
cnf(422,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[394,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(949,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,422,11]) ).
cnf(985,plain,
theorem(or(X,not(X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,949,52]) ).
cnf(1051,plain,
theorem(or(X,or(Y,not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,985,395]) ).
cnf(4224,plain,
theorem(or(X,implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,397,1051]),implies_definition,theory(equality)]) ).
cnf(4394,plain,
theorem(implies(X,or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,4224,376]) ).
cnf(4560,plain,
theorem(implies(not(X),implies(X,Y))),
inference('PARAMODULATE',[status(thm)],[4394,implies_definition,theory(equality)]) ).
cnf(4561,plain,
$false,
inference('REWRITE',[status(thm)],[prove_this,4560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL186-3 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 11:21:15 EDT 2022
% 0.13/0.34 % 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 2022-07-02T11:21:15
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-02T11:21:15
% 1.07/1.27
% 1.07/1.27
% 1.07/1.27 #||
% 1.07/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.27 % SZS output start Refutation
% See solution above
% 1.14/1.33 ||#
% 1.14/1.33
% 1.14/1.33 ; Summary of computation:
% 1.14/1.33 ; 8717 formulas have been input or derived (from 169 formulas).
% 1.14/1.33 ; 4561 (52%) were retained. Of these,
% 1.14/1.33 ; 2 ( 0%) were simplified or subsumed later,
% 1.14/1.33 ; 4559 (100%) are still being kept.
% 1.14/1.33 ;
% 1.14/1.33 ; Run time in seconds excluding printing time:
% 1.14/1.33 ; 0.002 0% Read assertion file (1 call)
% 1.14/1.33 ; 0.000 0% Assert (9 calls)
% 1.14/1.33 ; 0.318 40% Process new row (7,298 calls)
% 1.14/1.33 ; 0.179 22% Resolution (336 calls)
% 1.14/1.33 ; 0.018 2% Paramodulation (168 calls)
% 1.14/1.33 ; 0.000 0% Condensing (2 calls)
% 1.14/1.33 ; 0.000 0% Forward subsumption (2 calls)
% 1.14/1.33 ; 0.000 0% Backward subsumption (2 calls)
% 1.14/1.33 ; 0.108 13% Forward simplification (7,298 calls)
% 1.14/1.33 ; 0.117 15% Backward simplification (4,561 calls)
% 1.14/1.33 ; 0.002 0% Ordering (130 calls)
% 1.14/1.33 ; 0.000 0% Sortal reasoning (32 calls)
% 1.14/1.33 ; 0.000 0% Purity testing (1 call)
% 1.14/1.33 ; 0.059 7% Other
% 1.14/1.33 ; 0.803 Total
% 1.14/1.33 ; 0.860 Real time
% 1.14/1.33 ;
% 1.14/1.33 ; Term-hash-array has 9,906 terms in all.
% 1.14/1.33 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 1.14/1.33 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 1.14/1.33 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 1.14/1.33 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 1.14/1.33 ; Path-index has 9,906 entries (9,907 at peak, 9,908 added, 2 deleted).
% 1.14/1.33 ; Path-index has 5,924 nodes (5,924 at peak, 5,924 added, 0 deleted).
% 1.14/1.33 ; Trie-index has 9,906 entries (9,907 at peak, 9,908 added, 2 deleted).
% 1.14/1.33 ; Trie-index has 28,142 nodes (28,144 at peak, 28,144 added, 2 deleted).
% 1.14/1.33 ; Retrieved 34,411 generalization terms in 18,162 calls.
% 1.14/1.33 ; Retrieved 18,490 instance terms in 4,558 calls.
% 1.14/1.33 ; Retrieved 196,200 unifiable terms in 3,933 calls.
% 1.14/1.33 ;
% 1.14/1.33 ; The agenda of rows to process has 238 entries:
% 1.14/1.33 ; 6 with value 20 47 with value 24 16 with value 28
% 1.14/1.33 ; 32 with value 21 36 with value 25 3 with value 29
% 1.14/1.33 ; 11 with value 22 29 with value 26 3 with value 30
% 1.14/1.33 ; 30 with value 23 25 with value 27
% 1.14/1.33 ; The agenda of rows to give has 4391 entries:
% 1.14/1.33 ; 1 with value (4 17) 423 with value (4 25) 16 with value (4 33)
% 1.14/1.33 ; 60 with value (4 18) 492 with value (4 26) 12 with value (4 34)
% 1.14/1.33 ; 101 with value (4 19) 654 with value (4 27) 2 with value (4 35)
% 1.14/1.33 ; 132 with value (4 20) 526 with value (4 28) 8 with value (4 36)
% 1.14/1.33 ; 203 with value (4 21) 421 with value (4 29) 5 with value (4 37)
% 1.14/1.33 ; 202 with value (4 22) 267 with value (4 30) 2 with value (4 39)
% 1.14/1.33 ; 300 with value (4 23) 140 with value (4 31) 3 with value (4 41)
% 1.14/1.33 ; 365 with value (4 24) 56 with value (4 32)
% 1.14/1.33 Evaluation took:
% 1.14/1.33 0.86 seconds of real time
% 1.14/1.33 0.800503 seconds of user run time
% 1.14/1.33 0.05983 seconds of system run time
% 1.14/1.33 [Run times include 0.118 seconds GC run time.]
% 1.14/1.33 0 calls to %EVAL
% 1.14/1.33 0 page faults and
% 1.14/1.33 63,002,784 bytes consed.
% 1.14/1.33 :PROOF-FOUND
% 1.14/1.33 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T11:21:16
% 1.14/1.33 :PROOF-FOUND
% 1.14/1.33 *
%------------------------------------------------------------------------------