TSTP Solution File: LCL237-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL237-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 14:21:31 EDT 2022
% Result : Unsatisfiable 68.57s 68.81s
% Output : Refutation 68.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 22 ( 3 equ; 4 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_5,axiom,
axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
file('/export/starexec/sandbox/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/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(and_defn,axiom,
and(X,Y) = not(or(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(10,plain,
and(X,Y) = not(implies(X,not(Y))),
inference('REWRITE',[status(thm)],[and_defn,implies_definition,theory(equality)]) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(q,implies(p,and(p,q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(14,plain,
theorem(implies(or(X,Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).
cnf(22,plain,
theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).
cnf(25,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(40,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[14,implies_definition,theory(equality)]) ).
cnf(377,plain,
theorem(implies(implies(X,or(Y,Z)),or(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(400,plain,
theorem(implies(or(X,implies(Y,Z)),or(X,or(Z,not(Y))))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,25,40]) ).
cnf(2727,plain,
theorem(or(X,implies(implies(Y,X),not(Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,377,40]) ).
cnf(129497,plain,
theorem(or(X,implies(Y,not(implies(Y,X))))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,400,2727]),implies_definition,theory(equality)]) ).
cnf(130077,plain,
theorem(implies(X,implies(Y,and(Y,X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[129497,10,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(130078,plain,
$false,
inference('REWRITE',[status(thm)],[prove_this,130077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL237-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 23:59:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T23:59:39
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-03T23:59:39
% 68.57/68.81
% 68.57/68.81
% 68.57/68.81 #||
% 68.57/68.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.57/68.81 % SZS output start Refutation
% See solution above
% 68.57/68.81 ||#
% 68.57/68.81
% 68.57/68.81 ; Summary of computation:
% 68.57/68.81 ; 211726 formulas have been input or derived (from 837 formulas).
% 68.57/68.81 ; 130078 (61%) were retained. Of these,
% 68.57/68.81 ; 2351 ( 2%) were simplified or subsumed later,
% 68.57/68.81 ; 127727 (98%) are still being kept.
% 68.57/68.81 ;
% 68.57/68.81 ; Run time in seconds excluding printing time:
% 68.57/68.81 ; 0.003 0% Read assertion file (1 call)
% 68.57/68.81 ; 0.000 0% Assert (10 calls)
% 68.57/68.81 ; 20.102 29% Process new row (191,616 calls)
% 68.57/68.81 ; 28.132 41% Resolution (1,672 calls)
% 68.57/68.81 ; 1.459 2% Paramodulation (836 calls)
% 68.57/68.81 ; 0.000 0% Condensing (2 calls)
% 68.57/68.81 ; 0.000 0% Forward subsumption (2 calls)
% 68.57/68.81 ; 0.000 0% Backward subsumption (2 calls)
% 68.57/68.81 ; 8.123 12% Forward simplification (191,610 calls)
% 68.57/68.81 ; 9.800 14% Backward simplification (130,077 calls)
% 68.57/68.81 ; 0.008 0% Ordering (1,662 calls)
% 68.57/68.81 ; 0.000 0% Sortal reasoning (32 calls)
% 68.57/68.81 ; 0.000 0% Purity testing (1 call)
% 68.57/68.81 ; 0.702 1% Other
% 68.57/68.81 ; 68.329 Total
% 68.57/68.81 ; 68.339 Real time
% 68.57/68.82 ;
% 68.57/68.82 ; Term-hash-array has 273,913 terms in all.
% 68.57/68.82 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 68.57/68.82 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 68.57/68.82 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 68.57/68.82 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 68.57/68.82 ; Path-index has 269,250 entries (269,251 at peak, 273,926 added, 4,676 deleted).
% 68.57/68.82 ; Path-index has 87,266 nodes (87,266 at peak, 87,271 added, 5 deleted).
% 68.57/68.82 ; Trie-index has 269,250 entries (269,251 at peak, 273,926 added, 4,676 deleted).
% 68.57/68.82 ; Trie-index has 771,147 nodes (771,151 at peak, 778,279 added, 7,132 deleted).
% 68.57/68.82 ; Retrieved 2,103,569 generalization terms in 678,335 calls.
% 68.57/68.82 ; Retrieved 392,103 instance terms in 130,074 calls.
% 68.57/68.82 ; Retrieved 26,979,401 unifiable terms in 48,699 calls.
% 68.57/68.82 ;
% 68.57/68.82 ; The agenda of rows to process has 329 entries:
% 68.57/68.82 ; 12 with value 19 9 with value 26 94 with value 32
% 68.57/68.82 ; 1 with value 20 17 with value 27 15 with value 33
% 68.57/68.82 ; 1 with value 21 21 with value 28 2 with value 34
% 68.57/68.82 ; 14 with value 22 24 with value 29 1 with value 35
% 68.57/68.82 ; 5 with value 23 34 with value 30 10 with value 36
% 68.57/68.82 ; 6 with value 24 56 with value 31 1 with value 50
% 68.57/68.82 ; 6 with value 25
% 68.57/68.82 ; The agenda of rows to give has 126932 entries:
% 68.57/68.82 ; 1 with value (4 17) 8651 with value (4 34) 48 with value (4 50)
% 68.57/68.82 ; 2 with value (4 19) 3357 with value (4 35) 9 with value (4 52)
% 68.57/68.82 ; 2 with value (4 20) 1397 with value (4 36) 110 with value (4 53)
% 68.57/68.82 ; 602 with value (4 21) 925 with value (4 37) 65 with value (4 54)
% 68.57/68.82 ; 834 with value (4 22) 489 with value (4 38) 3 with value (4 55)
% 68.57/68.82 ; 1371 with value (4 23) 255 with value (4 39) 6 with value (4 56)
% 68.57/68.82 ; 2164 with value (4 24) 162 with value (4 40) 43 with value (4 57)
% 68.57/68.82 ; 2624 with value (4 25) 169 with value (4 41) 19 with value (4 58)
% 68.57/68.82 ; 3568 with value (4 26) 104 with value (4 42) 5 with value (4 59)
% 68.57/68.82 ; 5336 with value (4 27) 87 with value (4 43) 21 with value (4 61)
% 68.57/68.82 ; 7955 with value (4 28) 52 with value (4 44) 11 with value (4 62)
% 68.57/68.82 ; 11475 with value (4 29) 62 with value (4 45) 2 with value (4 65)
% 68.57/68.82 ; 17626 with value (4 30) 71 with value (4 46) 5 with value (4 66)
% 68.57/68.82 ; 19155 with value (4 31) 48 with value (4 47) 2 with value (4 68)
% 68.57/68.82 ; 21670 with value (4 32) 12 with value (4 48) 1 with value (4 70)
% 68.57/68.82 ; 16311 with value (4 33) 45 with value (4 49)
% 68.57/68.82 Evaluation took:
% 68.57/68.82 68.349 seconds of real time
% 68.57/68.82 65.45182 seconds of user run time
% 68.57/68.82 2.887218 seconds of system run time
% 68.57/68.82 [Run times include 18.748 seconds GC run time.]
% 68.57/68.82 0 calls to %EVAL
% 68.57/68.82 0 page faults and
% 68.57/68.82 2,410,391,728 bytes consed.
% 68.57/68.82 :PROOF-FOUND
% 68.57/68.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:00:48
% 68.57/68.82 :PROOF-FOUND
% 68.57/68.82 *
%------------------------------------------------------------------------------