TSTP Solution File: LCL185-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL185-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:20:52 EDT 2022
% Result : Unsatisfiable 1.45s 1.65s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 25 unt; 0 nHn; 8 RR)
% Number of literals : 30 ( 1 equ; 8 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 : 48 ( 8 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(p,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(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(53,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(160,plain,
theorem(or(or(X,Y),not(Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,53,11]) ).
cnf(402,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(421,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(422,plain,
theorem(implies(or(X,Y),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,11]) ).
cnf(424,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,13]) ).
cnf(704,plain,
theorem(or(or(X,Y),or(Z,not(Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,422,160]) ).
cnf(5576,plain,
~ theorem(or(p,implies(p,q))),
inference('UR-RESOLVE',[status(thm)],[rule_2,402,prove_this]) ).
cnf(5663,plain,
~ theorem(or(implies(p,q),p)),
inference('UR-RESOLVE',[status(thm)],[rule_2,5576,13]) ).
cnf(5738,plain,
~ theorem(or(implies(p,q),or(p,p))),
inference('UR-RESOLVE',[status(thm)],[rule_2,5663,421]) ).
cnf(5810,plain,
~ theorem(or(or(p,p),implies(p,q))),
inference('UR-RESOLVE',[status(thm)],[rule_2,5738,13]) ).
cnf(6567,plain,
theorem(or(or(X,Y),implies(Y,Z))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,424,704]),implies_definition,theory(equality)]) ).
cnf(6568,plain,
$false,
inference('REWRITE',[status(thm)],[5810,6567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL185-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 20:17:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T20:17:29
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-03T20:17:29
% 1.45/1.65
% 1.45/1.65
% 1.45/1.65 #||
% 1.45/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.45/1.65 % SZS output start Refutation
% See solution above
% 1.45/1.66 ||#
% 1.45/1.66
% 1.45/1.66 ; Summary of computation:
% 1.45/1.66 ; 10492 formulas have been input or derived (from 207 formulas).
% 1.45/1.66 ; 6568 (63%) were retained. Of these,
% 1.45/1.66 ; 2 ( 0%) were simplified or subsumed later,
% 1.45/1.66 ; 6566 (100%) are still being kept.
% 1.45/1.66 ;
% 1.45/1.66 ; Run time in seconds excluding printing time:
% 1.45/1.66 ; 0.002 0% Read assertion file (1 call)
% 1.45/1.66 ; 0.000 0% Assert (9 calls)
% 1.45/1.66 ; 0.476 40% Process new row (9,191 calls)
% 1.45/1.66 ; 0.204 17% Resolution (412 calls)
% 1.45/1.66 ; 0.026 2% Paramodulation (206 calls)
% 1.45/1.66 ; 0.000 0% Condensing (2 calls)
% 1.45/1.66 ; 0.000 0% Forward subsumption (2 calls)
% 1.45/1.66 ; 0.000 0% Backward subsumption (2 calls)
% 1.45/1.66 ; 0.247 21% Forward simplification (9,191 calls)
% 1.45/1.66 ; 0.168 14% Backward simplification (6,568 calls)
% 1.45/1.66 ; 0.000 0% Ordering (133 calls)
% 1.45/1.66 ; 0.000 0% Sortal reasoning (32 calls)
% 1.45/1.66 ; 0.000 0% Purity testing (1 call)
% 1.45/1.66 ; 0.054 5% Other
% 1.45/1.66 ; 1.177 Total
% 1.45/1.66 ; 1.179 Real time
% 1.45/1.66 ;
% 1.45/1.66 ; Term-hash-array has 13,888 terms in all.
% 1.45/1.66 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 1.45/1.66 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 1.45/1.66 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 1.45/1.66 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 1.45/1.66 ; Path-index has 13,888 entries (13,889 at peak, 13,890 added, 2 deleted).
% 1.45/1.66 ; Path-index has 6,004 nodes (6,004 at peak, 6,004 added, 0 deleted).
% 1.45/1.66 ; Trie-index has 13,888 entries (13,889 at peak, 13,890 added, 2 deleted).
% 1.45/1.66 ; Trie-index has 37,539 nodes (37,542 at peak, 37,542 added, 3 deleted).
% 1.45/1.66 ; Retrieved 49,942 generalization terms in 27,462 calls.
% 1.45/1.66 ; Retrieved 18,333 instance terms in 6,565 calls.
% 1.45/1.66 ; Retrieved 242,837 unifiable terms in 5,150 calls.
% 1.45/1.66 ;
% 1.45/1.66 ; The agenda of rows to process has 135 entries:
% 1.45/1.66 ; 18 with value 18 2 with value 24 9 with value 30
% 1.45/1.66 ; 10 with value 19 3 with value 25 22 with value 31
% 1.45/1.66 ; 8 with value 20 4 with value 26 20 with value 32
% 1.45/1.66 ; 6 with value 21 6 with value 27 1 with value 33
% 1.45/1.66 ; 6 with value 22 10 with value 28 1 with value 37
% 1.45/1.66 ; 4 with value 23 5 with value 29
% 1.45/1.66 ; The agenda of rows to give has 6360 entries:
% 1.45/1.66 ; 1 with value (4 15) 466 with value (4 24) 18 with value (4 33)
% 1.45/1.66 ; 3 with value (4 16) 589 with value (4 25) 14 with value (4 34)
% 1.45/1.66 ; 1 with value (4 17) 676 with value (4 26) 6 with value (4 35)
% 1.45/1.66 ; 72 with value (4 18) 866 with value (4 27) 8 with value (4 36)
% 1.45/1.66 ; 109 with value (4 19) 900 with value (4 28) 9 with value (4 37)
% 1.45/1.66 ; 137 with value (4 20) 706 with value (4 29) 1 with value (4 38)
% 1.45/1.66 ; 247 with value (4 21) 487 with value (4 30) 5 with value (4 39)
% 1.45/1.66 ; 237 with value (4 22) 307 with value (4 31) 3 with value (4 41)
% 1.45/1.66 ; 361 with value (4 23) 128 with value (4 32) 3 with value (4 47)
% 1.45/1.66 Evaluation took:
% 1.45/1.66 1.18 seconds of real time
% 1.45/1.66 1.095265 seconds of user run time
% 1.45/1.66 0.085023 seconds of system run time
% 1.45/1.66 [Run times include 0.157 seconds GC run time.]
% 1.45/1.66 0 calls to %EVAL
% 1.45/1.66 0 page faults and
% 1.45/1.66 86,462,616 bytes consed.
% 1.45/1.66 :PROOF-FOUND
% 1.45/1.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T20:17:31
% 1.45/1.66 :PROOF-FOUND
% 1.45/1.66 *
%------------------------------------------------------------------------------