TSTP Solution File: LCL259-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL259-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:21:49 EDT 2022
% Result : Unsatisfiable 36.71s 36.94s
% Output : Refutation 36.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 28 unt; 0 nHn; 5 RR)
% Number of literals : 33 ( 1 equ; 5 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 : 59 ( 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(implies(p,implies(p,q)),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(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(52,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).
cnf(303,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(318,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(319,plain,
theorem(implies(or(X,Y),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,11]) ).
cnf(321,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,12]) ).
cnf(343,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[318,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(836,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,343,11]) ).
cnf(848,plain,
~ theorem(implies(implies(p,implies(p,q)),or(implies(p,q),implies(p,q)))),
inference('UR-RESOLVE',[status(thm)],[rule_2,343,prove_this]) ).
cnf(868,plain,
theorem(or(X,not(X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,836,52]) ).
cnf(931,plain,
theorem(or(X,or(Y,not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,868,319]) ).
cnf(3047,plain,
theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[303,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(3585,plain,
theorem(or(X,implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,321,931]),implies_definition,theory(equality)]) ).
cnf(3732,plain,
theorem(or(implies(X,Y),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,3585,12]) ).
cnf(21165,plain,
theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,3047,21]) ).
cnf(76209,plain,
theorem(implies(implies(X,Y),or(implies(X,Z),Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21165,3732]) ).
cnf(76210,plain,
$false,
inference('REWRITE',[status(thm)],[848,76209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL259-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 23:06:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T23:06:15
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-02T23:06:15
% 36.71/36.94
% 36.71/36.94
% 36.71/36.94 #||
% 36.71/36.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.71/36.94 % SZS output start Refutation
% See solution above
% 36.85/37.02 ||#
% 36.85/37.02
% 36.85/37.02 ; Summary of computation:
% 36.85/37.02 ; 123764 formulas have been input or derived (from 653 formulas).
% 36.85/37.02 ; 76210 (62%) were retained. Of these,
% 36.85/37.02 ; 298 ( 0%) were simplified or subsumed later,
% 36.85/37.02 ; 75912 (100%) are still being kept.
% 36.85/37.02 ;
% 36.85/37.02 ; Run time in seconds excluding printing time:
% 36.85/37.02 ; 0.002 0% Read assertion file (1 call)
% 36.85/37.02 ; 0.000 0% Assert (9 calls)
% 36.85/37.02 ; 12.254 34% Process new row (107,703 calls)
% 36.85/37.02 ; 14.273 39% Resolution (1,304 calls)
% 36.85/37.02 ; 0.997 3% Paramodulation (652 calls)
% 36.85/37.02 ; 0.000 0% Condensing (2 calls)
% 36.85/37.02 ; 0.000 0% Forward subsumption (2 calls)
% 36.85/37.02 ; 0.000 0% Backward subsumption (2 calls)
% 36.85/37.02 ; 3.596 10% Forward simplification (107,703 calls)
% 36.85/37.02 ; 4.902 13% Backward simplification (76,210 calls)
% 36.85/37.02 ; 0.005 0% Ordering (536 calls)
% 36.85/37.02 ; 0.000 0% Sortal reasoning (32 calls)
% 36.85/37.02 ; 0.000 0% Purity testing (1 call)
% 36.85/37.02 ; 0.423 1% Other
% 36.85/37.02 ; 36.452 Total
% 36.85/37.02 ; 36.535 Real time
% 36.85/37.03 ;
% 36.85/37.03 ; Term-hash-array has 159,922 terms in all.
% 36.85/37.03 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 36.85/37.03 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 36.85/37.03 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 36.85/37.03 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 36.85/37.03 ; Path-index has 159,334 entries (159,336 at peak, 159,924 added, 590 deleted).
% 36.85/37.03 ; Path-index has 35,587 nodes (35,587 at peak, 35,587 added, 0 deleted).
% 36.85/37.03 ; Trie-index has 159,334 entries (159,336 at peak, 159,924 added, 590 deleted).
% 36.85/37.03 ; Trie-index has 384,619 nodes (384,633 at peak, 385,195 added, 576 deleted).
% 36.85/37.03 ; Retrieved 1,391,488 generalization terms in 331,985 calls.
% 36.85/37.03 ; Retrieved 268,409 instance terms in 76,207 calls.
% 36.85/37.03 ; Retrieved 14,752,652 unifiable terms in 40,622 calls.
% 36.85/37.03 ;
% 36.85/37.03 ; The agenda of rows to process has 551 entries:
% 36.85/37.03 ; 33 with value 23 10 with value 28 48 with value 33
% 36.85/37.03 ; 59 with value 24 18 with value 29 80 with value 34
% 36.85/37.03 ; 81 with value 25 20 with value 30 1 with value 38
% 36.85/37.03 ; 100 with value 26 33 with value 31 4 with value 41
% 36.85/37.03 ; 24 with value 27 40 with value 32
% 36.85/37.03 ; The agenda of rows to give has 75262 entries:
% 36.85/37.03 ; 1 with value (4 11) 11460 with value (4 31) 16 with value (4 44)
% 36.85/37.03 ; 1 with value (4 19) 12329 with value (4 32) 30 with value (4 45)
% 36.85/37.03 ; 76 with value (4 20) 7032 with value (4 33) 17 with value (4 46)
% 36.85/37.03 ; 525 with value (4 21) 3379 with value (4 34) 17 with value (4 47)
% 36.85/37.03 ; 597 with value (4 22) 903 with value (4 35) 10 with value (4 48)
% 36.85/37.03 ; 997 with value (4 23) 158 with value (4 36) 16 with value (4 49)
% 36.85/37.03 ; 1503 with value (4 24) 213 with value (4 37) 14 with value (4 50)
% 36.85/37.03 ; 1802 with value (4 25) 157 with value (4 38) 4 with value (4 51)
% 36.85/37.03 ; 2798 with value (4 26) 96 with value (4 39) 8 with value (4 52)
% 36.85/37.03 ; 4305 with value (4 27) 82 with value (4 40) 41 with value (4 53)
% 36.85/37.03 ; 6379 with value (4 28) 61 with value (4 41) 2 with value (4 55)
% 36.85/37.03 ; 8364 with value (4 29) 49 with value (4 42) 5 with value (4 56)
% 36.85/37.03 ; 11719 with value (4 30) 91 with value (4 43) 5 with value (4 59)
% 36.85/37.03 Evaluation took:
% 36.85/37.03 36.542 seconds of real time
% 36.85/37.03 35.051853 seconds of user run time
% 36.85/37.03 1.486927 seconds of system run time
% 36.85/37.03 [Run times include 8.007 seconds GC run time.]
% 36.85/37.03 0 calls to %EVAL
% 36.85/37.03 0 page faults and
% 36.85/37.03 1,387,595,800 bytes consed.
% 36.85/37.03 :PROOF-FOUND
% 36.85/37.03 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T23:06:51
% 36.85/37.03 :PROOF-FOUND
% 36.85/37.03 *
%------------------------------------------------------------------------------