TSTP Solution File: LCL238-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL238-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 39.03s 39.28s
% Output : Refutation 39.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 32 unt; 0 nHn; 5 RR)
% Number of literals : 37 ( 4 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 7 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(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(and(p,q),and(q,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(12,plain,
theorem(implies(or(X,X),X)),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).
cnf(13,plain,
theorem(implies(X,or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).
cnf(14,plain,
theorem(implies(or(X,Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).
cnf(20,plain,
implies(implies(X,not(Y)),Z) = or(and(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[implies_definition,10,theory(equality)]) ).
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(30,plain,
theorem(implies(X,implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(45,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[14,implies_definition,theory(equality)]) ).
cnf(92,plain,
theorem(or(or(X,not(Y)),not(implies(Y,X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,45,45]) ).
cnf(93,plain,
theorem(implies(implies(X,not(Y)),implies(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[45,implies_definition,theory(equality)]) ).
cnf(199,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,25,12]) ).
cnf(201,plain,
theorem(implies(or(X,Y),or(X,implies(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,25,30]) ).
cnf(203,plain,
theorem(implies(or(X,or(Y,Z)),or(X,or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,25,14]) ).
cnf(216,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[199,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(275,plain,
theorem(or(implies(X,not(Y)),and(Y,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[92,10,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(431,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,216,13]) ).
cnf(437,plain,
~ theorem(implies(and(p,q),implies(implies(q,not(p)),and(q,p)))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_2,216,prove_this]),20,theory(equality)]) ).
cnf(455,plain,
theorem(implies(X,not(not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,431,93]) ).
cnf(506,plain,
theorem(implies(or(X,Y),or(X,not(not(Y))))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,455,25]) ).
cnf(2055,plain,
theorem(implies(implies(X,or(Y,Z)),implies(X,or(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[203,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(7319,plain,
theorem(implies(or(X,Y),or(implies(Z,Y),X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2055,201]) ).
cnf(7506,plain,
theorem(or(implies(X,and(Y,Z)),implies(Z,not(Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,7319,275]) ).
cnf(71217,plain,
theorem(implies(or(X,Y),implies(not(Y),X))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,506,2055]),implies_definition,theory(equality)]) ).
cnf(71744,plain,
theorem(implies(and(X,Y),implies(Z,and(Y,X)))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_2,71217,7506]),10,theory(equality)]) ).
cnf(71745,plain,
$false,
inference('REWRITE',[status(thm)],[437,71744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL238-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n020.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 : Sun Jul 3 16:00:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T16:00:30
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-03T16:00:30
% 39.03/39.28
% 39.03/39.28
% 39.03/39.28 #||
% 39.03/39.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.03/39.28 % SZS output start Refutation
% See solution above
% 39.03/39.28 ||#
% 39.03/39.28
% 39.03/39.28 ; Summary of computation:
% 39.03/39.28 ; 175315 formulas have been input or derived (from 649 formulas).
% 39.03/39.28 ; 71745 (41%) were retained. Of these,
% 39.03/39.28 ; 59 ( 0%) were simplified or subsumed later,
% 39.03/39.28 ; 71686 (100%) are still being kept.
% 39.03/39.28 ;
% 39.03/39.28 ; Run time in seconds excluding printing time:
% 39.03/39.28 ; 0.002 0% Read assertion file (1 call)
% 39.03/39.28 ; 0.000 0% Assert (10 calls)
% 39.03/39.28 ; 10.907 28% Process new row (145,435 calls)
% 39.03/39.28 ; 18.380 47% Resolution (1,296 calls)
% 39.03/39.28 ; 1.037 3% Paramodulation (648 calls)
% 39.03/39.28 ; 0.000 0% Condensing (2 calls)
% 39.03/39.28 ; 0.000 0% Forward subsumption (2 calls)
% 39.03/39.28 ; 0.000 0% Backward subsumption (2 calls)
% 39.03/39.28 ; 3.626 9% Forward simplification (145,431 calls)
% 39.03/39.28 ; 4.147 11% Backward simplification (71,744 calls)
% 39.03/39.28 ; 0.006 0% Ordering (1,707 calls)
% 39.03/39.28 ; 0.002 0% Sortal reasoning (32 calls)
% 39.03/39.28 ; 0.000 0% Purity testing (1 call)
% 39.03/39.28 ; 0.694 2% Other
% 39.03/39.28 ; 38.801 Total
% 39.03/39.28 ; 38.803 Real time
% 39.12/39.29 ;
% 39.12/39.29 ; Term-hash-array has 160,330 terms in all.
% 39.12/39.29 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 39.12/39.29 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 39.12/39.29 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 39.12/39.29 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 39.12/39.29 ; Path-index has 160,214 entries (160,224 at peak, 160,344 added, 130 deleted).
% 39.12/39.29 ; Path-index has 95,220 nodes (95,220 at peak, 95,220 added, 0 deleted).
% 39.12/39.29 ; Trie-index has 160,214 entries (160,224 at peak, 160,344 added, 130 deleted).
% 39.12/39.29 ; Trie-index has 566,739 nodes (566,795 at peak, 566,816 added, 77 deleted).
% 39.12/39.29 ; Retrieved 1,119,039 generalization terms in 409,219 calls.
% 39.12/39.29 ; Retrieved 267,430 instance terms in 71,741 calls.
% 39.12/39.29 ; Retrieved 18,650,309 unifiable terms in 26,775 calls.
% 39.12/39.29 ;
% 39.12/39.29 ; The agenda of rows to process has 320 entries:
% 39.12/39.29 ; 64 with value 25 24 with value 30 13 with value 35
% 39.12/39.29 ; 41 with value 26 37 with value 31 9 with value 36
% 39.12/39.29 ; 63 with value 27 12 with value 32 4 with value 37
% 39.12/39.29 ; 13 with value 28 8 with value 33 1 with value 41
% 39.12/39.29 ; 19 with value 29 11 with value 34 1 with value 50
% 39.12/39.29 ; The agenda of rows to give has 71039 entries:
% 39.12/39.29 ; 1 with value (4 19) 3889 with value (4 35) 37 with value (4 51)
% 39.12/39.29 ; 2 with value (4 20) 1637 with value (4 36) 105 with value (4 53)
% 39.12/39.29 ; 434 with value (4 21) 967 with value (4 37) 79 with value (4 54)
% 39.12/39.29 ; 746 with value (4 22) 649 with value (4 38) 2 with value (4 55)
% 39.12/39.29 ; 1206 with value (4 23) 315 with value (4 39) 5 with value (4 56)
% 39.12/39.29 ; 1844 with value (4 24) 233 with value (4 40) 36 with value (4 57)
% 39.12/39.29 ; 2078 with value (4 25) 257 with value (4 41) 31 with value (4 58)
% 39.12/39.29 ; 3100 with value (4 26) 214 with value (4 42) 1 with value (4 59)
% 39.12/39.29 ; 4254 with value (4 27) 61 with value (4 43) 12 with value (4 60)
% 39.12/39.29 ; 4460 with value (4 28) 162 with value (4 44) 25 with value (4 61)
% 39.12/39.29 ; 5917 with value (4 29) 129 with value (4 45) 36 with value (4 62)
% 39.12/39.29 ; 7582 with value (4 30) 44 with value (4 46) 2 with value (4 65)
% 39.12/39.29 ; 7612 with value (4 31) 51 with value (4 47) 6 with value (4 66)
% 39.12/39.29 ; 9271 with value (4 32) 47 with value (4 48) 3 with value (4 67)
% 39.12/39.29 ; 7965 with value (4 33) 49 with value (4 49) 3 with value (4 69)
% 39.12/39.29 ; 5414 with value (4 34) 64 with value (4 50) 2 with value (4 70)
% 39.12/39.29 Evaluation took:
% 39.12/39.29 38.811 seconds of real time
% 39.12/39.29 37.202488 seconds of user run time
% 39.12/39.29 1.608069 seconds of system run time
% 39.12/39.29 [Run times include 9.507 seconds GC run time.]
% 39.12/39.29 0 calls to %EVAL
% 39.12/39.29 0 page faults and
% 39.12/39.29 1,442,427,288 bytes consed.
% 39.12/39.29 :PROOF-FOUND
% 39.12/39.29 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T16:01:09
% 39.12/39.29 :PROOF-FOUND
% 39.12/39.29 *
%------------------------------------------------------------------------------