TSTP Solution File: LCL211-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:21:13 EDT 2022
% Result : Unsatisfiable 77.10s 77.26s
% Output : Refutation 77.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 25 unt; 0 nHn; 5 RR)
% Number of literals : 30 ( 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 : 48 ( 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(not(q),implies(or(p,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(36,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).
cnf(37,plain,
theorem(implies(or(X,not(Y)),implies(Y,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)],[36,implies_definition,theory(equality)]) ).
cnf(138,plain,
~ theorem(or(implies(or(p,q),p),not(not(q)))),
inference('UR-RESOLVE',[status(thm)],[rule_2,37,prove_this]) ).
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(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(757,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,290,11]) ).
cnf(791,plain,
theorem(implies(X,not(not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,757,112]) ).
cnf(1098,plain,
theorem(implies(or(X,Y),or(X,not(not(Y))))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,791,21]) ).
cnf(3531,plain,
theorem(or(X,implies(or(Y,X),Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,256,12]) ).
cnf(3593,plain,
theorem(or(implies(or(X,Y),X),Y)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,3531,12]) ).
cnf(112328,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,1098,138,3593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jul 2 14:56:05 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T14:56:05
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-02T14:56:05
% 77.10/77.26
% 77.10/77.26
% 77.10/77.26 #||
% 77.10/77.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 77.10/77.26 % SZS output start Refutation
% See solution above
% 77.10/77.26 ||#
% 77.10/77.26
% 77.10/77.26 ; Summary of computation:
% 77.10/77.26 ; 188459 formulas have been input or derived (from 789 formulas).
% 77.10/77.26 ; 112328 (60%) were retained. Of these,
% 77.10/77.26 ; 1814 ( 2%) were simplified or subsumed later,
% 77.10/77.26 ; 110514 (98%) are still being kept.
% 77.10/77.26 ;
% 77.10/77.26 ; Run time in seconds excluding printing time:
% 77.10/77.26 ; 0.003 0% Read assertion file (1 call)
% 77.10/77.26 ; 0.000 0% Assert (9 calls)
% 77.10/77.26 ; 18.829 25% Process new row (164,182 calls)
% 77.10/77.26 ; 35.772 47% Resolution (1,576 calls)
% 77.10/77.26 ; 1.962 3% Paramodulation (788 calls)
% 77.10/77.26 ; 0.000 0% Condensing (2 calls)
% 77.10/77.26 ; 0.000 0% Forward subsumption (2 calls)
% 77.10/77.26 ; 0.000 0% Backward subsumption (2 calls)
% 77.10/77.26 ; 9.241 12% Forward simplification (164,178 calls)
% 77.10/77.26 ; 10.289 13% Backward simplification (112,328 calls)
% 77.10/77.26 ; 0.007 0% Ordering (683 calls)
% 77.10/77.26 ; 0.000 0% Sortal reasoning (32 calls)
% 77.10/77.26 ; 0.000 0% Purity testing (1 call)
% 77.10/77.26 ; 0.651 1% Other
% 77.10/77.26 ; 76.754 Total
% 77.10/77.26 ; 76.757 Real time
% 77.10/77.27 ;
% 77.10/77.27 ; Term-hash-array has 236,750 terms in all.
% 77.10/77.27 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 77.10/77.27 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 77.10/77.27 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 77.10/77.27 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 77.10/77.27 ; Path-index has 233,144 entries (233,144 at peak, 236,757 added, 3,613 deleted).
% 77.10/77.27 ; Path-index has 47,065 nodes (47,065 at peak, 47,116 added, 51 deleted).
% 77.10/77.27 ; Trie-index has 233,144 entries (233,144 at peak, 236,757 added, 3,613 deleted).
% 77.10/77.27 ; Trie-index has 567,377 nodes (567,377 at peak, 574,285 added, 6,908 deleted).
% 77.10/77.27 ; Retrieved 2,169,936 generalization terms in 487,610 calls.
% 77.10/77.27 ; Retrieved 412,303 instance terms in 112,325 calls.
% 77.10/77.27 ; Retrieved 29,271,171 unifiable terms in 56,311 calls.
% 77.10/77.27 ;
% 77.10/77.27 ; The agenda of rows to process has 831 entries:
% 77.10/77.27 ; 3 with value 13 64 with value 23 37 with value 31
% 77.10/77.27 ; 3 with value 15 68 with value 24 59 with value 32
% 77.10/77.27 ; 11 with value 16 86 with value 25 91 with value 33
% 77.10/77.27 ; 11 with value 17 72 with value 26 28 with value 34
% 77.10/77.27 ; 20 with value 18 46 with value 27 1 with value 35
% 77.10/77.27 ; 35 with value 19 51 with value 28 1 with value 37
% 77.10/77.27 ; 22 with value 20 16 with value 29 1 with value 38
% 77.10/77.27 ; 42 with value 21 30 with value 30 1 with value 40
% 77.10/77.27 ; 32 with value 22
% 77.10/77.27 ; The agenda of rows to give has 109751 entries:
% 77.10/77.27 ; 497 with value (4 21) 3895 with value (4 35) 13 with value (4 49)
% 77.10/77.27 ; 765 with value (4 22) 1162 with value (4 36) 22 with value (4 50)
% 77.10/77.27 ; 1198 with value (4 23) 459 with value (4 37) 20 with value (4 51)
% 77.10/77.27 ; 1913 with value (4 24) 250 with value (4 38) 12 with value (4 52)
% 77.10/77.27 ; 2098 with value (4 25) 194 with value (4 39) 41 with value (4 53)
% 77.10/77.27 ; 3135 with value (4 26) 103 with value (4 40) 39 with value (4 54)
% 77.10/77.27 ; 4580 with value (4 27) 82 with value (4 41) 6 with value (4 55)
% 77.10/77.27 ; 6458 with value (4 28) 93 with value (4 42) 2 with value (4 56)
% 77.12/77.27 ; 9836 with value (4 29) 96 with value (4 43) 15 with value (4 57)
% 77.12/77.27 ; 14090 with value (4 30) 54 with value (4 44) 13 with value (4 58)
% 77.12/77.27 ; 16078 with value (4 31) 26 with value (4 45) 4 with value (4 59)
% 77.12/77.27 ; 19175 with value (4 32) 52 with value (4 46) 1 with value (4 60)
% 77.12/77.27 ; 14478 with value (4 33) 50 with value (4 47) 1 with value (4 61)
% 77.12/77.27 ; 8710 with value (4 34) 35 with value (4 48)
% 77.12/77.27 Evaluation took:
% 77.12/77.27 76.765 seconds of real time
% 77.12/77.27 74.06143 seconds of user run time
% 77.12/77.27 2.702365 seconds of system run time
% 77.12/77.27 [Run times include 17.823 seconds GC run time.]
% 77.12/77.27 0 calls to %EVAL
% 77.12/77.27 0 page faults and
% 77.12/77.27 2,188,156,248 bytes consed.
% 77.12/77.27 :PROOF-FOUND
% 77.12/77.27 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T14:57:22
% 77.12/77.27 :PROOF-FOUND
% 77.12/77.27 *
%------------------------------------------------------------------------------