TSTP Solution File: LCL174-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL174-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:20:45 EDT 2022
% Result : Unsatisfiable 4.62s 4.78s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 4 RR)
% Number of literals : 15 ( 1 equ; 4 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(implies(p,q),implies(implies(q,r),implies(p,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(17,plain,
theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).
cnf(20,plain,
theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).
cnf(329,plain,
theorem(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(351,plain,
theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(2542,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(16830,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,2542,prove_this,351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL174-3 : TPTP v8.1.0. Released v2.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 4 18:39:01 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T18:39:02
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-04T18:39:02
% 4.62/4.78
% 4.62/4.78
% 4.62/4.78 #||
% 4.62/4.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.62/4.78 % SZS output start Refutation
% See solution above
% 4.62/4.78 ||#
% 4.62/4.78
% 4.62/4.78 ; Summary of computation:
% 4.62/4.78 ; 31517 formulas have been input or derived (from 314 formulas).
% 4.62/4.78 ; 16830 (53%) were retained. Of these,
% 4.62/4.78 ; 1 ( 0%) were simplified or subsumed later,
% 4.62/4.78 ; 16829 (100%) are still being kept.
% 4.62/4.78 ;
% 4.62/4.78 ; Run time in seconds excluding printing time:
% 4.62/4.78 ; 0.002 0% Read assertion file (1 call)
% 4.62/4.78 ; 0.000 0% Assert (9 calls)
% 4.62/4.78 ; 1.542 36% Process new row (26,294 calls)
% 4.62/4.78 ; 1.462 34% Resolution (626 calls)
% 4.62/4.78 ; 0.128 3% Paramodulation (313 calls)
% 4.62/4.78 ; 0.001 0% Condensing (2 calls)
% 4.62/4.78 ; 0.000 0% Forward subsumption (2 calls)
% 4.62/4.78 ; 0.000 0% Backward subsumption (2 calls)
% 4.62/4.78 ; 0.577 13% Forward simplification (26,294 calls)
% 4.62/4.78 ; 0.452 11% Backward simplification (16,830 calls)
% 4.62/4.78 ; 0.003 0% Ordering (248 calls)
% 4.62/4.78 ; 0.001 0% Sortal reasoning (32 calls)
% 4.62/4.78 ; 0.001 0% Purity testing (1 call)
% 4.62/4.78 ; 0.108 3% Other
% 4.62/4.78 ; 4.277 Total
% 4.62/4.78 ; 4.279 Real time
% 4.62/4.78 ;
% 4.62/4.78 ; Term-hash-array has 35,895 terms in all.
% 4.62/4.78 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 4.62/4.78 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 4.62/4.78 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 4.62/4.78 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 4.62/4.78 ; Path-index has 35,897 entries (35,897 at peak, 35,898 added, 1 deleted).
% 4.62/4.78 ; Path-index has 14,431 nodes (14,431 at peak, 14,431 added, 0 deleted).
% 4.62/4.78 ; Trie-index has 35,897 entries (35,897 at peak, 35,898 added, 1 deleted).
% 4.62/4.78 ; Trie-index has 92,785 nodes (92,785 at peak, 92,785 added, 0 deleted).
% 4.62/4.78 ; Retrieved 210,976 generalization terms in 68,145 calls.
% 4.62/4.78 ; Retrieved 49,631 instance terms in 16,827 calls.
% 4.62/4.78 ; Retrieved 1,554,964 unifiable terms in 10,270 calls.
% 4.62/4.78 ;
% 4.62/4.78 ; The agenda of rows to process has 250 entries:
% 4.62/4.78 ; 1 with value 12 14 with value 21 12 with value 28
% 4.62/4.78 ; 8 with value 13 1 with value 22 14 with value 29
% 4.62/4.78 ; 12 with value 15 6 with value 23 8 with value 30
% 4.62/4.78 ; 17 with value 16 1 with value 24 17 with value 31
% 4.62/4.78 ; 24 with value 17 5 with value 25 21 with value 32
% 4.62/4.78 ; 20 with value 18 2 with value 26 25 with value 33
% 4.62/4.78 ; 12 with value 19 8 with value 27 1 with value 37
% 4.62/4.78 ; 21 with value 20
% 4.62/4.78 ; The agenda of rows to give has 16515 entries:
% 4.62/4.78 ; 60 with value (4 19) 2089 with value (4 30) 4 with value (4 41)
% 4.62/4.78 ; 163 with value (4 20) 1607 with value (4 31) 13 with value (4 42)
% 4.62/4.78 ; 277 with value (4 21) 945 with value (4 32) 5 with value (4 43)
% 4.62/4.78 ; 377 with value (4 22) 344 with value (4 33) 1 with value (4 44)
% 4.62/4.78 ; 524 with value (4 23) 32 with value (4 34) 15 with value (4 45)
% 4.62/4.78 ; 776 with value (4 24) 41 with value (4 35) 3 with value (4 46)
% 4.62/4.78 ; 1070 with value (4 25) 18 with value (4 36) 2 with value (4 47)
% 4.62/4.78 ; 1434 with value (4 26) 40 with value (4 37) 1 with value (4 48)
% 4.62/4.78 ; 1802 with value (4 27) 12 with value (4 38) 7 with value (4 49)
% 4.62/4.78 ; 2274 with value (4 28) 2 with value (4 39) 3 with value (4 52)
% 4.62/4.78 ; 2558 with value (4 29) 15 with value (4 40) 1 with value (4 59)
% 4.62/4.78 Evaluation took:
% 4.62/4.78 4.281 seconds of real time
% 4.62/4.78 4.04642 seconds of user run time
% 4.62/4.78 0.234008 seconds of system run time
% 4.62/4.78 [Run times include 0.687 seconds GC run time.]
% 4.62/4.78 0 calls to %EVAL
% 4.62/4.78 0 page faults and
% 4.62/4.78 247,890,920 bytes consed.
% 4.62/4.78 :PROOF-FOUND
% 4.62/4.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T18:39:06
% 4.62/4.78 :PROOF-FOUND
% 4.62/4.78 *
%------------------------------------------------------------------------------