TSTP Solution File: LCL178-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL178-3 : 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 14:20:47 EDT 2022
% Result : Unsatisfiable 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 15 unt; 0 nHn; 5 RR)
% Number of literals : 20 ( 1 equ; 5 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 : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 2 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_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(p,not(not(p)))),
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(13,plain,
theorem(implies(or(X,Y),or(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).
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(42,plain,
theorem(implies(or(X,not(Y)),implies(Y,X))),
inference('PARAMODULATE',[status(thm)],[13,implies_definition,theory(equality)]) ).
cnf(119,plain,
~ theorem(implies(not(p),not(p))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_2,42,prove_this]),implies_definition,theory(equality)]) ).
cnf(266,plain,
theorem(implies(or(X,or(Y,Y)),or(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[rule_2,21,10]) ).
cnf(287,plain,
theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[266,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).
cnf(411,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[rule_2,287,119,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL178-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Mon Jul 4 12:51:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T12:51:15
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-04T12:51:15
% 0.39/0.56
% 0.39/0.56
% 0.39/0.56 #||
% 0.39/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 1270 formulas have been input or derived (from 65 formulas).
% 0.39/0.56 ; 411 (32%) were retained. Of these,
% 0.39/0.56 ; 411 (100%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds:
% 0.39/0.56 ; 0.003 3% Read assertion file (1 call)
% 0.39/0.56 ; 0.000 0% Assert (9 calls)
% 0.39/0.56 ; 0.028 27% Process new row (921 calls)
% 0.39/0.56 ; 0.014 14% Resolution (128 calls)
% 0.39/0.56 ; 0.001 1% Paramodulation (64 calls)
% 0.39/0.56 ; 0.000 0% Condensing (2 calls)
% 0.39/0.56 ; 0.000 0% Forward subsumption (2 calls)
% 0.39/0.56 ; 0.000 0% Backward subsumption (2 calls)
% 0.39/0.56 ; 0.017 17% Forward simplification (921 calls)
% 0.39/0.56 ; 0.007 7% Backward simplification (411 calls)
% 0.39/0.56 ; 0.002 2% Ordering (64 calls)
% 0.39/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.56 ; 0.000 0% Purity testing (1 call)
% 0.39/0.56 ; 0.031 30% Other
% 0.39/0.56 ; 0.103 Total
% 0.39/0.56 ; 0.104 Real time
% 0.39/0.56 ;
% 0.39/0.56 ; Term-hash-array has 1,002 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.39/0.56 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.39/0.56 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.39/0.56 ; Path-index has 1,003 entries (1,003 at peak, 1,003 added, 0 deleted).
% 0.39/0.56 ; Path-index has 2,331 nodes (2,331 at peak, 2,331 added, 0 deleted).
% 0.39/0.56 ; Trie-index has 1,003 entries (1,003 at peak, 1,003 added, 0 deleted).
% 0.39/0.56 ; Trie-index has 4,147 nodes (4,147 at peak, 4,147 added, 0 deleted).
% 0.39/0.56 ; Retrieved 1,393 generalization terms in 1,710 calls.
% 0.39/0.56 ; Retrieved 474 instance terms in 408 calls.
% 0.39/0.56 ; Retrieved 8,714 unifiable terms in 791 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of rows to process has 45 entries:
% 0.39/0.56 ; 1 with value 10 7 with value 18 2 with value 25
% 0.39/0.56 ; 8 with value 13 1 with value 19 1 with value 26
% 0.39/0.56 ; 6 with value 15 1 with value 20 1 with value 27
% 0.39/0.56 ; 4 with value 16 8 with value 21 1 with value 33
% 0.39/0.56 ; 1 with value 17 3 with value 23
% 0.39/0.56 ; The agenda of rows to give has 346 entries:
% 0.39/0.56 ; 5 with value (4 17) 46 with value (4 23) 11 with value (4 29)
% 0.39/0.56 ; 26 with value (4 18) 28 with value (4 24) 2 with value (4 30)
% 0.39/0.56 ; 26 with value (4 19) 46 with value (4 25) 3 with value (4 31)
% 0.39/0.56 ; 29 with value (4 20) 18 with value (4 26) 4 with value (4 32)
% 0.39/0.56 ; 50 with value (4 21) 11 with value (4 27) 8 with value (4 33)
% 0.39/0.56 ; 28 with value (4 22) 3 with value (4 28) 2 with value (4 37)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.105 seconds of real time
% 0.39/0.56 0.090391 seconds of user run time
% 0.39/0.56 0.014131 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 7,403,552 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T12:51:15
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------