TSTP Solution File: GRP700+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 : Sat Jul 16 11:40:23 EDT 2022
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 14 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
mult(rd(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(4,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(5,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(6,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(7,axiom,
mult(mult(mult(X,Y),X),mult(X,Z)) = mult(X,mult(mult(mult(Y,X),X),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(9,negated_conjecture,
( mult(X,'SKOLEMAAAV1') != unit
| mult('SKOLEMAAAV1',X) != unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(14,plain,
rd(X,X) = unit,
inference('PARAMODULATE',[status(thm)],[4,6,theory(equality)]) ).
cnf(17,plain,
mult('SKOLEMAAAV1',rd(unit,'SKOLEMAAAV1')) != unit,
inference('UR-RESOLVE',[status(thm)],[9,3]) ).
cnf(22,plain,
mult(mult(mult(X,Y),X),X) = mult(X,mult(mult(Y,X),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,5,theory(equality)]),5,theory(equality)]) ).
cnf(74,plain,
rd(mult(X,mult(mult(Y,X),X)),X) = mult(mult(X,Y),X),
inference('PARAMODULATE',[status(thm)],[4,22,theory(equality)]) ).
cnf(238,plain,
rd(mult(X,mult(Y,X)),X) = mult(mult(X,rd(Y,X)),X),
inference('PARAMODULATE',[status(thm)],[74,3,theory(equality)]) ).
cnf(550,plain,
X = mult(mult(X,rd(unit,X)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[238,6,theory(equality)]),4,theory(equality)]) ).
cnf(596,plain,
unit = mult(X,rd(unit,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,550,theory(equality)]),14,theory(equality)]) ).
cnf(598,plain,
$false,
inference('REWRITE',[status(thm)],[17,596,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP700+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 03:42:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T03:42:39
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T03:42:39
% 0.18/0.48
% 0.18/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.59/0.77 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.59/0.77
% 0.59/0.77 #||
% 0.59/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.77 % SZS output start Refutation
% See solution above
% 0.59/0.77 ||#
% 0.59/0.77
% 0.59/0.77 ; Summary of computation:
% 0.59/0.77 ; 1445 formulas have been input or derived (from 64 formulas).
% 0.59/0.77 ; 598 (41%) were retained. Of these,
% 0.59/0.77 ; 153 (26%) were simplified or subsumed later,
% 0.59/0.77 ; 445 (74%) are still being kept.
% 0.59/0.77 ;
% 0.59/0.77 ; Run time in seconds excluding printing time:
% 0.59/0.77 ; 0.002 1% Read assertion file (1 call)
% 0.59/0.77 ; 0.001 0% Assert (9 calls)
% 0.59/0.77 ; 0.071 23% Process new row (1,364 calls)
% 0.59/0.77 ; 0.009 3% Resolution (126 calls)
% 0.59/0.77 ; 0.036 12% Paramodulation (63 calls)
% 0.59/0.77 ; 0.000 0% Condensing (24 calls)
% 0.59/0.77 ; 0.002 1% Forward subsumption (24 calls)
% 0.59/0.77 ; 0.000 0% Backward subsumption (17 calls)
% 0.59/0.77 ; 0.001 0% Clause clause subsumption (101 calls)
% 0.59/0.77 ; 0.073 24% Forward simplification (1,238 calls)
% 0.59/0.77 ; 0.033 11% Backward simplification (598 calls)
% 0.59/0.77 ; 0.049 16% Ordering (4,644 calls)
% 0.59/0.77 ; 0.000 0% Sortal reasoning (32 calls)
% 0.59/0.77 ; 0.000 0% Purity testing (1 call)
% 0.59/0.77 ; 0.026 9% Other
% 0.59/0.77 ; 0.303 Total
% 0.59/0.77 ; 0.304 Real time
% 0.59/0.77 ;
% 0.59/0.77 ; Term-hash-array has 1,925 terms in all.
% 0.59/0.77 ; Feature-vector-row-index has 14 entries (14 at peak, 17 added, 3 deleted).
% 0.59/0.77 ; Feature-vector-row-index has 57 nodes (57 at peak, 62 added, 5 deleted).
% 0.59/0.77 ; Retrieved 71 possibly forward subsuming rows in 24 calls.
% 0.59/0.77 ; Retrieved 41 possibly backward subsumed rows in 17 calls.
% 0.59/0.77 ; Path-index has 1,574 entries (1,581 at peak, 2,004 added, 430 deleted).
% 0.59/0.77 ; Path-index has 4,562 nodes (4,564 at peak, 4,879 added, 317 deleted).
% 0.59/0.77 ; Trie-index has 1,574 entries (1,581 at peak, 2,004 added, 430 deleted).
% 0.59/0.77 ; Trie-index has 14,898 nodes (14,930 at peak, 18,631 added, 3,733 deleted).
% 0.59/0.77 ; Retrieved 17,465 generalization terms in 14,221 calls.
% 0.59/0.77 ; Retrieved 4,818 instance terms in 630 calls.
% 0.59/0.77 ; Retrieved 13,296 unifiable terms in 501 calls.
% 0.59/0.77 ;
% 0.59/0.77 ; The agenda of rows to process has 35 entries:
% 0.59/0.77 ; 1 with value 18 1 with value 27 1 with value 41
% 0.59/0.77 ; 3 with value 22 5 with value 28 8 with value 44
% 0.59/0.77 ; 2 with value 23 2 with value 29 2 with value 45
% 0.59/0.77 ; 3 with value 24 3 with value 32 1 with value 48
% 0.59/0.77 ; 1 with value 25 2 with value 33
% 0.59/0.77 ; The agenda of rows to give has 391 entries:
% 0.59/0.77 ; 1 with value (4 15) 23 with value (4 35) 36 with value (4 48)
% 0.59/0.77 ; 6 with value (4 22) 9 with value (4 36) 29 with value (4 49)
% 0.59/0.77 ; 8 with value (4 23) 8 with value (4 37) 2 with value (4 50)
% 0.59/0.77 ; 6 with value (4 24) 4 with value (4 38) 2 with value (4 51)
% 0.59/0.77 ; 7 with value (4 25) 7 with value (4 39) 13 with value (4 52)
% 0.59/0.77 ; 4 with value (4 26) 4 with value (4 40) 4 with value (4 53)
% 0.59/0.77 ; 21 with value (4 27) 26 with value (4 41) 3 with value (4 54)
% 0.59/0.77 ; 7 with value (4 28) 12 with value (4 42) 2 with value (4 56)
% 0.59/0.77 ; 6 with value (4 29) 2 with value (4 43) 17 with value (4 57)
% 0.59/0.77 ; 11 with value (4 30) 3 with value (4 44) 4 with value (4 60)
% 0.59/0.77 ; 27 with value (4 31) 1 with value (4 45) 12 with value (4 61)
% 0.59/0.77 ; 27 with value (4 32) 3 with value (4 46) 2 with value (4 62)
% 0.59/0.77 ; 11 with value (4 33) 17 with value (4 47) 2 with value (4 63)
% 0.59/0.77 ; 2 with value (4 34)
% 0.59/0.77 Evaluation took:
% 0.59/0.77 0.305 seconds of real time
% 0.59/0.77 0.275517 seconds of user run time
% 0.59/0.77 0.029306 seconds of system run time
% 0.59/0.77 [Run times include 0.011 seconds GC run time.]
% 0.59/0.77 0 calls to %EVAL
% 0.59/0.77 0 page faults and
% 0.59/0.77 19,975,064 bytes consed.
% 0.59/0.77 :PROOF-FOUND
% 0.59/0.77 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T03:42:39
% 0.59/0.77 :PROOF-FOUND
% 0.59/0.77 *
%------------------------------------------------------------------------------