TSTP Solution File: LCL323-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL323-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 14:22:09 EDT 2022
% Result : Unsatisfiable 1.91s 2.11s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 24 unt; 0 nHn; 8 RR)
% Number of literals : 29 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(implies(or(X,X),X)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X,or(Y,X))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X,Y),or(Y,X))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(implies(p,q),implies(q,r))),
file('/export/starexec/sandbox/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(21,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(27,plain,
theorem(implies(X,implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[11,implies_definition,theory(equality)]) ).
cnf(52,plain,
~ theorem(or(implies(q,r),implies(p,q))),
inference('UR-RESOLVE',[status(thm)],[rule_2,12,prove_this]) ).
cnf(53,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).
cnf(174,plain,
theorem(or(or(X,Y),not(Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,53,11]) ).
cnf(626,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(627,plain,
theorem(implies(or(X,Y),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,11]) ).
cnf(628,plain,
theorem(implies(or(X,Y),or(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,27]) ).
cnf(629,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,12]) ).
cnf(810,plain,
theorem(or(or(X,Y),or(Z,not(Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,627,174]) ).
cnf(1515,plain,
~ theorem(or(implies(q,r),q)),
inference('UR-RESOLVE',[status(thm)],[rule_2,628,52]) ).
cnf(1644,plain,
~ theorem(or(implies(q,r),or(q,q))),
inference('UR-RESOLVE',[status(thm)],[rule_2,1515,626]) ).
cnf(2030,plain,
~ theorem(or(or(q,q),implies(q,r))),
inference('UR-RESOLVE',[status(thm)],[rule_2,1644,12]) ).
cnf(8982,plain,
theorem(or(or(X,Y),implies(Y,Z))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,629,810]),implies_definition,theory(equality)]) ).
cnf(8983,plain,
$false,
inference('REWRITE',[status(thm)],[2030,8982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL323-3 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 22:41:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T22:41:47
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-02T22:41:47
% 1.91/2.11
% 1.91/2.11
% 1.91/2.11 #||
% 1.91/2.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/2.11 % SZS output start Refutation
% See solution above
% 1.91/2.11 ||#
% 1.91/2.11
% 1.91/2.11 ; Summary of computation:
% 1.91/2.11 ; 13086 formulas have been input or derived (from 255 formulas).
% 1.91/2.11 ; 8983 (69%) were retained. Of these,
% 1.91/2.11 ; 2 ( 0%) were simplified or subsumed later,
% 1.91/2.11 ; 8981 (100%) are still being kept.
% 1.91/2.11 ;
% 1.91/2.11 ; Run time in seconds excluding printing time:
% 1.91/2.11 ; 0.002 0% Read assertion file (1 call)
% 1.91/2.11 ; 0.000 0% Assert (9 calls)
% 1.91/2.11 ; 0.793 48% Process new row (11,739 calls)
% 1.91/2.11 ; 0.281 17% Resolution (508 calls)
% 1.91/2.11 ; 0.026 2% Paramodulation (254 calls)
% 1.91/2.11 ; 0.000 0% Condensing (2 calls)
% 1.91/2.11 ; 0.001 0% Forward subsumption (2 calls)
% 1.91/2.11 ; 0.000 0% Backward subsumption (2 calls)
% 1.91/2.11 ; 0.258 16% Forward simplification (11,739 calls)
% 1.91/2.11 ; 0.205 12% Backward simplification (8,983 calls)
% 1.91/2.11 ; 0.000 0% Ordering (140 calls)
% 1.91/2.11 ; 0.000 0% Sortal reasoning (32 calls)
% 1.91/2.11 ; 0.000 0% Purity testing (1 call)
% 1.91/2.11 ; 0.075 5% Other
% 1.91/2.11 ; 1.641 Total
% 1.91/2.11 ; 1.644 Real time
% 1.91/2.11 ;
% 1.91/2.11 ; Term-hash-array has 18,718 terms in all.
% 1.91/2.11 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 1.91/2.11 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 1.91/2.11 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 1.91/2.11 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 1.91/2.11 ; Path-index has 18,719 entries (18,720 at peak, 18,721 added, 2 deleted).
% 1.91/2.11 ; Path-index has 6,280 nodes (6,280 at peak, 6,280 added, 0 deleted).
% 1.91/2.11 ; Trie-index has 18,719 entries (18,720 at peak, 18,721 added, 2 deleted).
% 1.91/2.11 ; Trie-index has 48,717 nodes (48,719 at peak, 48,719 added, 2 deleted).
% 1.91/2.11 ; Retrieved 67,451 generalization terms in 35,450 calls.
% 1.91/2.11 ; Retrieved 28,383 instance terms in 8,980 calls.
% 1.91/2.11 ; Retrieved 335,725 unifiable terms in 6,967 calls.
% 1.91/2.11 ;
% 1.91/2.11 ; The agenda of rows to process has 166 entries:
% 1.91/2.11 ; 19 with value 18 3 with value 24 13 with value 29
% 1.91/2.11 ; 10 with value 19 2 with value 25 16 with value 30
% 1.91/2.11 ; 8 with value 20 4 with value 26 31 with value 31
% 1.91/2.11 ; 6 with value 21 6 with value 27 23 with value 32
% 1.91/2.11 ; 6 with value 22 13 with value 28 1 with value 37
% 1.91/2.11 ; 5 with value 23
% 1.91/2.11 ; The agenda of rows to give has 8727 entries:
% 1.91/2.11 ; 1 with value (4 16) 878 with value (4 25) 16 with value (4 33)
% 1.91/2.11 ; 87 with value (4 18) 1008 with value (4 26) 22 with value (4 34)
% 1.91/2.11 ; 136 with value (4 19) 1417 with value (4 27) 13 with value (4 35)
% 1.91/2.11 ; 161 with value (4 20) 1299 with value (4 28) 11 with value (4 36)
% 1.91/2.11 ; 288 with value (4 21) 1010 with value (4 29) 5 with value (4 37)
% 1.91/2.11 ; 301 with value (4 22) 612 with value (4 30) 4 with value (4 38)
% 1.91/2.11 ; 441 with value (4 23) 287 with value (4 31) 6 with value (4 39)
% 1.91/2.11 ; 608 with value (4 24) 108 with value (4 32) 8 with value (4 41)
% 1.91/2.11 Evaluation took:
% 1.91/2.11 1.645 seconds of real time
% 1.91/2.11 1.537048 seconds of user run time
% 1.91/2.11 0.105427 seconds of system run time
% 1.91/2.11 [Run times include 0.259 seconds GC run time.]
% 1.91/2.11 0 calls to %EVAL
% 1.91/2.11 0 page faults and
% 1.91/2.11 117,965,656 bytes consed.
% 1.91/2.11 :PROOF-FOUND
% 1.91/2.11 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T22:41:48
% 1.91/2.11 :PROOF-FOUND
% 1.91/2.11 *
%------------------------------------------------------------------------------