TSTP Solution File: LCL210-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL210-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:21:12 EDT 2022
% Result : Unsatisfiable 59.80s 59.96s
% Output : Refutation 59.80s
% 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(p),implies(or(p,q),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(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),q),not(not(p)))),
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(967,plain,
theorem(implies(or(X,Y),or(X,not(not(Y))))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,791,21]) ).
cnf(2801,plain,
theorem(or(X,implies(or(X,Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,256,757]) ).
cnf(3014,plain,
theorem(or(implies(or(X,Y),Y),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2801,12]) ).
cnf(92852,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,967,138,3014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL210-3 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 3 01:12:15 EDT 2022
% 0.14/0.36 % 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 2022-07-03T01:12:15
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-03T01:12:15
% 59.80/59.96
% 59.80/59.96
% 59.80/59.96 #||
% 59.80/59.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.80/59.96 % SZS output start Refutation
% See solution above
% 59.80/59.97 ||#
% 59.80/59.97
% 59.80/59.97 ; Summary of computation:
% 59.80/59.97 ; 168042 formulas have been input or derived (from 697 formulas).
% 59.80/59.97 ; 92852 (55%) were retained. Of these,
% 59.80/59.97 ; 10 ( 0%) were simplified or subsumed later,
% 59.80/59.97 ; 92842 (100%) are still being kept.
% 59.80/59.97 ;
% 59.80/59.97 ; Run time in seconds excluding printing time:
% 59.80/59.97 ; 0.002 0% Read assertion file (1 call)
% 59.80/59.97 ; 0.000 0% Assert (9 calls)
% 59.80/59.97 ; 13.590 23% Process new row (143,931 calls)
% 59.80/59.97 ; 29.194 49% Resolution (1,392 calls)
% 59.80/59.97 ; 1.601 3% Paramodulation (696 calls)
% 59.80/59.97 ; 0.001 0% Condensing (2 calls)
% 59.80/59.97 ; 0.000 0% Forward subsumption (2 calls)
% 59.80/59.97 ; 0.000 0% Backward subsumption (2 calls)
% 59.80/59.97 ; 6.729 11% Forward simplification (143,931 calls)
% 59.80/59.97 ; 7.757 13% Backward simplification (92,852 calls)
% 59.80/59.97 ; 0.004 0% Ordering (663 calls)
% 59.80/59.97 ; 0.001 0% Sortal reasoning (32 calls)
% 59.80/59.97 ; 0.001 0% Purity testing (1 call)
% 59.80/59.97 ; 0.577 1% Other
% 59.80/59.97 ; 59.457 Total
% 59.80/59.97 ; 59.461 Real time
% 59.80/59.97 ;
% 59.80/59.97 ; Term-hash-array has 197,674 terms in all.
% 59.80/59.97 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 59.80/59.97 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 59.80/59.97 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 59.80/59.97 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 59.80/59.97 ; Path-index has 197,662 entries (197,662 at peak, 197,680 added, 18 deleted).
% 59.80/59.97 ; Path-index has 46,836 nodes (46,836 at peak, 46,836 added, 0 deleted).
% 59.80/59.97 ; Trie-index has 197,662 entries (197,662 at peak, 197,680 added, 18 deleted).
% 59.80/59.97 ; Trie-index has 521,328 nodes (521,328 at peak, 521,328 added, 0 deleted).
% 59.80/59.97 ; Retrieved 1,837,096 generalization terms in 426,041 calls.
% 59.80/59.97 ; Retrieved 348,281 instance terms in 92,849 calls.
% 59.80/59.97 ; Retrieved 24,310,343 unifiable terms in 47,042 calls.
% 59.80/59.97 ;
% 59.80/59.97 ; The agenda of rows to process has 794 entries:
% 59.80/59.97 ; 3 with value 13 64 with value 23 48 with value 32
% 59.80/59.97 ; 3 with value 15 68 with value 24 69 with value 33
% 59.80/59.97 ; 11 with value 16 86 with value 25 24 with value 34
% 59.80/59.97 ; 11 with value 17 72 with value 26 7 with value 35
% 59.80/59.97 ; 20 with value 18 44 with value 27 2 with value 36
% 59.80/59.97 ; 35 with value 19 51 with value 28 1 with value 37
% 59.80/59.97 ; 22 with value 20 16 with value 29 1 with value 38
% 59.80/59.97 ; 42 with value 21 27 with value 30 1 with value 40
% 59.80/59.97 ; 32 with value 22 34 with value 31
% 59.80/59.97 ; The agenda of rows to give has 92146 entries:
% 59.80/59.97 ; 454 with value (4 21) 1033 with value (4 36) 24 with value (4 50)
% 59.80/59.97 ; 711 with value (4 22) 407 with value (4 37) 17 with value (4 51)
% 59.80/59.97 ; 1109 with value (4 23) 232 with value (4 38) 7 with value (4 52)
% 59.80/59.97 ; 1778 with value (4 24) 176 with value (4 39) 39 with value (4 53)
% 59.80/59.97 ; 1888 with value (4 25) 100 with value (4 40) 35 with value (4 54)
% 59.80/59.97 ; 2757 with value (4 26) 81 with value (4 41) 4 with value (4 55)
% 59.80/59.97 ; 4067 with value (4 27) 83 with value (4 42) 2 with value (4 56)
% 59.80/59.97 ; 5554 with value (4 28) 78 with value (4 43) 21 with value (4 57)
% 59.80/59.97 ; 8143 with value (4 29) 36 with value (4 44) 19 with value (4 58)
% 59.80/59.97 ; 11401 with value (4 30) 24 with value (4 45) 4 with value (4 59)
% 59.80/59.97 ; 12828 with value (4 31) 62 with value (4 46) 3 with value (4 60)
% 59.80/59.97 ; 15552 with value (4 32) 33 with value (4 47) 7 with value (4 61)
% 59.80/59.97 ; 11986 with value (4 33) 26 with value (4 48) 2 with value (4 63)
% 59.80/59.97 ; 7879 with value (4 34) 13 with value (4 49) 2 with value (4 65)
% 59.80/59.97 ; 3469 with value (4 35)
% 59.80/59.97 Evaluation took:
% 59.80/59.97 59.468 seconds of real time
% 59.80/59.97 57.394093 seconds of user run time
% 59.80/59.97 2.072262 seconds of system run time
% 59.80/59.97 [Run times include 13.183 seconds GC run time.]
% 59.80/59.97 0 calls to %EVAL
% 59.80/59.97 0 page faults and
% 59.80/59.97 1,836,420,616 bytes consed.
% 59.80/59.97 :PROOF-FOUND
% 59.80/59.97 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T01:13:15
% 59.80/59.97 :PROOF-FOUND
% 59.80/59.97 *
%------------------------------------------------------------------------------