TSTP Solution File: LCL197-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL197-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:21:01 EDT 2022
% Result : Unsatisfiable 2.40s 2.62s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 52 ( 6 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(or(q,or(p,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(26,plain,
theorem(implies(X,implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[11,implies_definition,theory(equality)]) ).
cnf(330,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(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(347,plain,
theorem(implies(or(X,Y),or(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,26]) ).
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(1152,plain,
theorem(implies(or(implies(X,Y),Y),implies(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,373,347]) ).
cnf(4129,plain,
theorem(or(X,implies(or(X,Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,330,1149]) ).
cnf(4432,plain,
theorem(or(implies(or(X,Y),Y),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,4129,12]) ).
cnf(6815,plain,
~ theorem(or(implies(or(q,or(p,q)),or(p,q)),or(p,q))),
inference('UR-RESOLVE',[status(thm)],[rule_2,1152,prove_this]) ).
cnf(9872,plain,
theorem(or(implies(or(X,Y),Y),or(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,4432,346]) ).
cnf(9873,plain,
$false,
inference('REWRITE',[status(thm)],[6815,9872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL197-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 22:18:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T22:18:36
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-02T22:18:36
% 2.40/2.62
% 2.40/2.62
% 2.40/2.62 #||
% 2.40/2.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/2.62 % SZS output start Refutation
% See solution above
% 2.40/2.62 ||#
% 2.40/2.62
% 2.40/2.62 ; Summary of computation:
% 2.40/2.62 ; 17047 formulas have been input or derived (from 244 formulas).
% 2.40/2.62 ; 9873 (58%) were retained. Of these,
% 2.40/2.62 ; 2 ( 0%) were simplified or subsumed later,
% 2.40/2.62 ; 9871 (100%) are still being kept.
% 2.40/2.62 ;
% 2.40/2.62 ; Run time in seconds excluding printing time:
% 2.40/2.62 ; 0.002 0% Read assertion file (1 call)
% 2.40/2.62 ; 0.000 0% Assert (9 calls)
% 2.40/2.62 ; 0.865 41% Process new row (15,193 calls)
% 2.40/2.62 ; 0.507 24% Resolution (486 calls)
% 2.40/2.62 ; 0.042 2% Paramodulation (243 calls)
% 2.40/2.62 ; 0.000 0% Condensing (2 calls)
% 2.40/2.62 ; 0.000 0% Forward subsumption (2 calls)
% 2.40/2.62 ; 0.000 0% Backward subsumption (2 calls)
% 2.40/2.62 ; 0.317 15% Forward simplification (15,193 calls)
% 2.40/2.62 ; 0.298 14% Backward simplification (9,873 calls)
% 2.40/2.62 ; 0.000 0% Ordering (185 calls)
% 2.40/2.62 ; 0.001 0% Sortal reasoning (32 calls)
% 2.40/2.62 ; 0.000 0% Purity testing (1 call)
% 2.40/2.62 ; 0.092 4% Other
% 2.40/2.62 ; 2.124 Total
% 2.40/2.62 ; 2.126 Real time
% 2.40/2.62 ;
% 2.40/2.62 ; Term-hash-array has 21,313 terms in all.
% 2.40/2.62 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 2.40/2.62 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 2.40/2.62 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 2.40/2.62 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 2.40/2.62 ; Path-index has 21,312 entries (21,314 at peak, 21,315 added, 3 deleted).
% 2.40/2.62 ; Path-index has 8,979 nodes (8,979 at peak, 8,979 added, 0 deleted).
% 2.40/2.62 ; Trie-index has 21,312 entries (21,314 at peak, 21,315 added, 3 deleted).
% 2.40/2.62 ; Trie-index has 53,400 nodes (53,404 at peak, 53,404 added, 4 deleted).
% 2.40/2.62 ; Retrieved 100,354 generalization terms in 45,947 calls.
% 2.40/2.62 ; Retrieved 44,514 instance terms in 9,870 calls.
% 2.40/2.62 ; Retrieved 618,062 unifiable terms in 7,652 calls.
% 2.40/2.62 ;
% 2.40/2.62 ; The agenda of rows to process has 99 entries:
% 2.40/2.62 ; 4 with value 21 12 with value 25 6 with value 29
% 2.40/2.62 ; 10 with value 22 12 with value 26 4 with value 30
% 2.40/2.62 ; 1 with value 23 12 with value 27 1 with value 31
% 2.40/2.62 ; 8 with value 24 28 with value 28 1 with value 32
% 2.40/2.62 ; The agenda of rows to give has 9627 entries:
% 2.40/2.62 ; 10 with value (4 18) 1645 with value (4 28) 2 with value (4 38)
% 2.40/2.62 ; 131 with value (4 19) 1253 with value (4 29) 4 with value (4 39)
% 2.40/2.62 ; 161 with value (4 20) 1056 with value (4 30) 7 with value (4 41)
% 2.40/2.62 ; 304 with value (4 21) 462 with value (4 31) 7 with value (4 42)
% 2.40/2.62 ; 350 with value (4 22) 197 with value (4 32) 6 with value (4 43)
% 2.40/2.62 ; 390 with value (4 23) 49 with value (4 33) 8 with value (4 44)
% 2.40/2.62 ; 574 with value (4 24) 25 with value (4 34) 15 with value (4 45)
% 2.40/2.62 ; 715 with value (4 25) 17 with value (4 35) 2 with value (4 48)
% 2.40/2.62 ; 955 with value (4 26) 23 with value (4 36) 4 with value (4 51)
% 2.40/2.62 ; 1213 with value (4 27) 41 with value (4 37) 1 with value (4 52)
% 2.40/2.62 Evaluation took:
% 2.40/2.62 2.128 seconds of real time
% 2.40/2.62 2.019205 seconds of user run time
% 2.40/2.62 0.108056 seconds of system run time
% 2.40/2.62 [Run times include 0.301 seconds GC run time.]
% 2.40/2.62 0 calls to %EVAL
% 2.40/2.62 0 page faults and
% 2.40/2.62 143,274,208 bytes consed.
% 2.40/2.62 :PROOF-FOUND
% 2.40/2.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T22:18:38
% 2.40/2.62 :PROOF-FOUND
% 2.40/2.62 *
%------------------------------------------------------------------------------