TSTP Solution File: LCL180-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL180-3 : 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 14:20:48 EDT 2022
% Result : Unsatisfiable 25.00s 25.26s
% Output : Refutation 25.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 26 unt; 0 nHn; 5 RR)
% Number of literals : 31 ( 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 51 ( 2 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_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(prove_this,negated_conjecture,
~ theorem(implies(not(not(p)),p)),
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(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(46,plain,
theorem(implies(implies(X,Y),or(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(47,plain,
theorem(implies(or(X,not(Y)),implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(98,plain,
theorem(implies(implies(X,not(Y)),implies(Y,not(X)))),
inference('PARAMODULATE',[status(thm)],[46,implies_definition,theory(equality)]) ).
cnf(119,plain,
~ theorem(or(p,not(not(not(p))))),
inference('UR-RESOLVE',[status(thm)],[rule_2,47,prove_this]) ).
cnf(329,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(345,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(370,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(682,plain,
theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[rule_2,370,11]) ).
cnf(708,plain,
theorem(or(X,not(X))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,682,46]) ).
cnf(712,plain,
theorem(implies(X,not(not(X)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,682,98]) ).
cnf(2468,plain,
theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[329,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(14923,plain,
theorem(implies(or(X,Y),implies(implies(Y,Z),or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,2468,21]) ).
cnf(45163,plain,
theorem(implies(implies(not(X),Y),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,14923,708]) ).
cnf(45407,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,45163,119,712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL180-3 : TPTP v8.1.0. Released v2.3.0.
% 0.09/0.11 % Command : run-snark %s %d
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Mon Jul 4 00:21:44 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 *
% 0.16/0.42 *
% 0.16/0.43 #<PACKAGE "SNARK-USER">
% 0.16/0.43 *
% 0.16/0.43 SNARK-TPTP-OPTIONS
% 0.16/0.43 *
% 0.16/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.43 (USE-FACTORING :POS)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.43 *
% 0.16/0.43 "."
% 0.16/0.43 *
% 0.16/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:21:44
% 0.16/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T00:21:44
% 25.00/25.26
% 25.00/25.26
% 25.00/25.26 #||
% 25.00/25.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.00/25.26 % SZS output start Refutation
% See solution above
% 25.00/25.27 ||#
% 25.00/25.27
% 25.00/25.27 ; Summary of computation:
% 25.00/25.27 ; 91508 formulas have been input or derived (from 504 formulas).
% 25.00/25.27 ; 45407 (50%) were retained. Of these,
% 25.00/25.27 ; 8 ( 0%) were simplified or subsumed later,
% 25.00/25.27 ; 45399 (100%) are still being kept.
% 25.00/25.27 ;
% 25.00/25.27 ; Run time in seconds excluding printing time:
% 25.00/25.27 ; 0.002 0% Read assertion file (1 call)
% 25.00/25.27 ; 0.000 0% Assert (9 calls)
% 25.00/25.27 ; 7.407 30% Process new row (75,835 calls)
% 25.00/25.27 ; 10.529 42% Resolution (1,006 calls)
% 25.00/25.27 ; 0.702 3% Paramodulation (503 calls)
% 25.00/25.27 ; 0.000 0% Condensing (2 calls)
% 25.00/25.27 ; 0.000 0% Forward subsumption (2 calls)
% 25.00/25.27 ; 0.000 0% Backward subsumption (2 calls)
% 25.00/25.27 ; 3.052 12% Forward simplification (75,835 calls)
% 25.00/25.27 ; 2.690 11% Backward simplification (45,407 calls)
% 25.00/25.27 ; 0.004 0% Ordering (511 calls)
% 25.00/25.27 ; 0.001 0% Sortal reasoning (32 calls)
% 25.00/25.27 ; 0.000 0% Purity testing (1 call)
% 25.00/25.27 ; 0.418 2% Other
% 25.00/25.27 ; 24.805 Total
% 25.00/25.27 ; 24.840 Real time
% 25.00/25.27 ;
% 25.00/25.27 ; Term-hash-array has 98,249 terms in all.
% 25.00/25.27 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 25.00/25.27 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 25.00/25.27 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 25.00/25.27 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 25.00/25.27 ; Path-index has 98,237 entries (98,237 at peak, 98,250 added, 13 deleted).
% 25.00/25.27 ; Path-index has 35,247 nodes (35,247 at peak, 35,247 added, 0 deleted).
% 25.00/25.27 ; Trie-index has 98,237 entries (98,237 at peak, 98,250 added, 13 deleted).
% 25.00/25.27 ; Trie-index has 281,929 nodes (281,929 at peak, 281,929 added, 0 deleted).
% 25.00/25.27 ; Retrieved 784,977 generalization terms in 208,957 calls.
% 25.00/25.27 ; Retrieved 172,017 instance terms in 45,404 calls.
% 25.00/25.27 ; Retrieved 8,890,412 unifiable terms in 25,165 calls.
% 25.00/25.27 ;
% 25.00/25.27 ; The agenda of rows to process has 468 entries:
% 25.00/25.27 ; 1 with value 13 52 with value 22 19 with value 30
% 25.00/25.27 ; 5 with value 15 32 with value 23 32 with value 31
% 25.00/25.27 ; 14 with value 16 26 with value 24 27 with value 32
% 25.00/25.27 ; 11 with value 17 9 with value 25 5 with value 33
% 25.00/25.27 ; 31 with value 18 18 with value 26 5 with value 34
% 25.00/25.27 ; 47 with value 19 11 with value 27 1 with value 35
% 25.00/25.27 ; 31 with value 20 15 with value 28 1 with value 37
% 25.00/25.27 ; 48 with value 21 27 with value 29
% 25.00/25.27 ; The agenda of rows to give has 44895 entries:
% 25.00/25.27 ; 44 with value (4 20) 7188 with value (4 32) 5 with value (4 44)
% 25.00/25.27 ; 373 with value (4 21) 4490 with value (4 33) 15 with value (4 45)
% 25.00/25.27 ; 484 with value (4 22) 2007 with value (4 34) 10 with value (4 46)
% 25.00/25.27 ; 738 with value (4 23) 604 with value (4 35) 5 with value (4 47)
% 25.00/25.27 ; 1099 with value (4 24) 126 with value (4 36) 5 with value (4 48)
% 25.00/25.27 ; 1234 with value (4 25) 175 with value (4 37) 14 with value (4 49)
% 25.00/25.27 ; 1785 with value (4 26) 140 with value (4 38) 7 with value (4 50)
% 25.00/25.27 ; 2610 with value (4 27) 72 with value (4 39) 1 with value (4 51)
% 25.00/25.27 ; 3432 with value (4 28) 64 with value (4 40) 15 with value (4 52)
% 25.00/25.27 ; 4761 with value (4 29) 47 with value (4 41) 22 with value (4 53)
% 25.00/25.27 ; 6410 with value (4 30) 43 with value (4 42) 6 with value (4 56)
% 25.00/25.27 ; 6793 with value (4 31) 67 with value (4 43) 4 with value (4 60)
% 25.00/25.27 Evaluation took:
% 25.00/25.27 24.844 seconds of real time
% 25.00/25.27 23.72136 seconds of user run time
% 25.00/25.27 1.090211 seconds of system run time
% 25.00/25.27 [Run times include 4.742 seconds GC run time.]
% 25.00/25.27 0 calls to %EVAL
% 25.00/25.27 0 page faults and
% 25.00/25.27 836,604,992 bytes consed.
% 25.00/25.27 :PROOF-FOUND
% 25.00/25.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:22:09
% 25.00/25.27 :PROOF-FOUND
% 25.00/25.27 *
%------------------------------------------------------------------------------