TSTP Solution File: LCL219-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL219-3 : 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 14:21:19 EDT 2022
% Result : Unsatisfiable 47.10s 47.32s
% Output : Refutation 47.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 54 ( 5 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(implies(p,q),q),or(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(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(53,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).
cnf(329,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(345,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(346,plain,
theorem(implies(or(X,Y),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,11]) ).
cnf(348,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,12]) ).
cnf(373,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[345,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(1149,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,373,11]) ).
cnf(1187,plain,
theorem(or(X,not(X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,1149,53]) ).
cnf(1217,plain,
theorem(or(X,or(Y,not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,1187,346]) ).
cnf(4067,plain,
theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[329,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(4557,plain,
theorem(or(X,implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,348,1217]),implies_definition,theory(equality)]) ).
cnf(24321,plain,
theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,4067,21]) ).
cnf(89285,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,24321,prove_this,4557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL219-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % 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 : Sun Jul 3 23:23:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T23:23:30
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-03T23:23:30
% 47.10/47.32
% 47.10/47.32
% 47.10/47.32 #||
% 47.10/47.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.10/47.32 % SZS output start Refutation
% See solution above
% 47.10/47.33 ||#
% 47.10/47.33
% 47.10/47.33 ; Summary of computation:
% 47.10/47.33 ; 137702 formulas have been input or derived (from 710 formulas).
% 47.10/47.33 ; 89285 (65%) were retained. Of these,
% 47.10/47.33 ; 9 ( 0%) were simplified or subsumed later,
% 47.10/47.33 ; 89276 (100%) are still being kept.
% 47.10/47.33 ;
% 47.10/47.33 ; Run time in seconds excluding printing time:
% 47.10/47.33 ; 0.002 0% Read assertion file (1 call)
% 47.10/47.33 ; 0.000 0% Assert (9 calls)
% 47.10/47.33 ; 12.612 27% Process new row (121,326 calls)
% 47.10/47.33 ; 19.083 41% Resolution (1,418 calls)
% 47.10/47.33 ; 1.297 3% Paramodulation (709 calls)
% 47.10/47.33 ; 0.000 0% Condensing (2 calls)
% 47.10/47.33 ; 0.000 0% Forward subsumption (2 calls)
% 47.10/47.33 ; 0.000 0% Backward subsumption (2 calls)
% 47.10/47.33 ; 5.917 13% Forward simplification (121,326 calls)
% 47.10/47.33 ; 7.400 16% Backward simplification (89,285 calls)
% 47.10/47.33 ; 0.005 0% Ordering (526 calls)
% 47.10/47.33 ; 0.002 0% Sortal reasoning (32 calls)
% 47.10/47.33 ; 0.000 0% Purity testing (1 call)
% 47.10/47.33 ; 0.525 1% Other
% 47.10/47.33 ; 46.843 Total
% 47.10/47.33 ; 46.842 Real time
% 47.18/47.33 ;
% 47.18/47.33 ; Term-hash-array has 185,969 terms in all.
% 47.18/47.33 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 47.18/47.33 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 47.18/47.33 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 47.18/47.33 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 47.18/47.33 ; Path-index has 185,954 entries (185,954 at peak, 185,971 added, 17 deleted).
% 47.18/47.33 ; Path-index has 35,622 nodes (35,622 at peak, 35,622 added, 0 deleted).
% 47.18/47.33 ; Trie-index has 185,954 entries (185,954 at peak, 185,971 added, 17 deleted).
% 47.18/47.33 ; Trie-index has 408,772 nodes (408,772 at peak, 408,772 added, 0 deleted).
% 47.18/47.33 ; Retrieved 1,592,352 generalization terms in 418,031 calls.
% 47.18/47.33 ; Retrieved 295,270 instance terms in 89,282 calls.
% 47.18/47.33 ; Retrieved 17,356,208 unifiable terms in 47,857 calls.
% 47.18/47.33 ;
% 47.18/47.33 ; The agenda of rows to process has 742 entries:
% 47.18/47.33 ; 4 with value 12 8 with value 21 25 with value 30
% 47.18/47.33 ; 1 with value 13 25 with value 22 34 with value 31
% 47.18/47.33 ; 9 with value 14 35 with value 23 37 with value 32
% 47.18/47.33 ; 9 with value 15 59 with value 24 72 with value 33
% 47.18/47.33 ; 13 with value 16 81 with value 25 97 with value 34
% 47.18/47.33 ; 28 with value 17 100 with value 26 1 with value 35
% 47.18/47.33 ; 34 with value 18 24 with value 27 1 with value 38
% 47.18/47.33 ; 8 with value 19 9 with value 28 4 with value 41
% 47.18/47.33 ; 6 with value 20 18 with value 29
% 47.18/47.33 ; The agenda of rows to give has 88566 entries:
% 47.18/47.33 ; 90 with value (4 20) 8792 with value (4 33) 30 with value (4 45)
% 47.18/47.33 ; 557 with value (4 21) 3977 with value (4 34) 35 with value (4 46)
% 47.18/47.33 ; 628 with value (4 22) 1143 with value (4 35) 21 with value (4 47)
% 47.18/47.33 ; 1052 with value (4 23) 181 with value (4 36) 3 with value (4 48)
% 47.18/47.33 ; 1569 with value (4 24) 241 with value (4 37) 11 with value (4 49)
% 47.18/47.33 ; 1898 with value (4 25) 194 with value (4 38) 8 with value (4 50)
% 47.18/47.33 ; 3149 with value (4 26) 106 with value (4 39) 5 with value (4 51)
% 47.18/47.33 ; 4597 with value (4 27) 67 with value (4 40) 11 with value (4 52)
% 47.18/47.33 ; 7113 with value (4 28) 47 with value (4 41) 52 with value (4 53)
% 47.18/47.33 ; 9654 with value (4 29) 54 with value (4 42) 2 with value (4 55)
% 47.18/47.33 ; 13871 with value (4 30) 123 with value (4 43) 4 with value (4 56)
% 47.18/47.33 ; 13831 with value (4 31) 19 with value (4 44) 1 with value (4 59)
% 47.18/47.33 ; 15430 with value (4 32)
% 47.18/47.33 Evaluation took:
% 47.18/47.33 46.85 seconds of real time
% 47.18/47.33 45.103844 seconds of user run time
% 47.18/47.33 1.74919 seconds of system run time
% 47.18/47.33 [Run times include 10.53 seconds GC run time.]
% 47.18/47.33 0 calls to %EVAL
% 47.18/47.33 0 page faults and
% 47.18/47.33 1,608,782,520 bytes consed.
% 47.18/47.33 :PROOF-FOUND
% 47.18/47.33 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T23:24:17
% 47.18/47.33 :PROOF-FOUND
% 47.18/47.34 *
%------------------------------------------------------------------------------