TSTP Solution File: GRP700-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Unsatisfiable 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 13 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f03,axiom,
mult(rd(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(f04,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(f05,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(f06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(f07,axiom,
mult(mult(mult(X,Y),X),mult(X,Z)) = mult(X,mult(mult(mult(Y,X),X),Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(goal,negated_conjecture,
tuple(mult(X,x0),mult(x0,X)) != tuple(unit,unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(14,plain,
rd(X,X) = unit,
inference('PARAMODULATE',[status(thm)],[f04,f06,theory(equality)]) ).
cnf(17,plain,
tuple(X,mult(x0,rd(X,x0))) != tuple(unit,unit),
inference('PARAMODULATE',[status(thm)],[goal,f03,theory(equality)]) ).
cnf(20,plain,
mult(mult(mult(X,Y),X),X) = mult(X,mult(mult(Y,X),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f07,f05,theory(equality)]),f05,theory(equality)]) ).
cnf(72,plain,
rd(mult(X,mult(mult(Y,X),X)),X) = mult(mult(X,Y),X),
inference('PARAMODULATE',[status(thm)],[f04,20,theory(equality)]) ).
cnf(236,plain,
rd(mult(X,mult(Y,X)),X) = mult(mult(X,rd(Y,X)),X),
inference('PARAMODULATE',[status(thm)],[72,f03,theory(equality)]) ).
cnf(548,plain,
X = mult(mult(X,rd(unit,X)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,f06,theory(equality)]),f04,theory(equality)]) ).
cnf(594,plain,
unit = mult(X,rd(unit,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f04,548,theory(equality)]),14,theory(equality)]) ).
cnf(596,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,594,theory(equality)]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.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 02:26:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:26:09
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-14T02:26:09
% 0.19/0.49
% 0.19/0.49 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.55/0.77 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.55/0.77
% 0.55/0.77 #||
% 0.55/0.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77 ||#
% 0.55/0.77
% 0.55/0.77 ; Summary of computation:
% 0.55/0.77 ; 1420 formulas have been input or derived (from 62 formulas).
% 0.55/0.77 ; 596 (42%) were retained. Of these,
% 0.55/0.77 ; 152 (26%) were simplified or subsumed later,
% 0.55/0.77 ; 444 (74%) are still being kept.
% 0.55/0.77 ;
% 0.55/0.77 ; Run time in seconds excluding printing time:
% 0.55/0.77 ; 0.001 0% Read assertion file (1 call)
% 0.55/0.77 ; 0.001 0% Assert (9 calls)
% 0.55/0.77 ; 0.079 27% Process new row (1,345 calls)
% 0.55/0.77 ; 0.001 0% Resolution (122 calls)
% 0.55/0.77 ; 0.040 14% Paramodulation (61 calls)
% 0.55/0.77 ; 0.084 29% Forward simplification (1,191 calls)
% 0.55/0.77 ; 0.026 9% Backward simplification (596 calls)
% 0.55/0.77 ; 0.031 11% Ordering (4,740 calls)
% 0.55/0.77 ; 0.001 0% Sortal reasoning (32 calls)
% 0.55/0.77 ; 0.000 0% Purity testing (1 call)
% 0.55/0.77 ; 0.024 8% Other
% 0.55/0.77 ; 0.288 Total
% 0.55/0.77 ; 0.290 Real time
% 0.55/0.77 ;
% 0.55/0.77 ; Term-hash-array has 1,927 terms in all.
% 0.55/0.77 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.55/0.77 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.55/0.77 ; Path-index has 1,577 entries (1,581 at peak, 2,004 added, 427 deleted).
% 0.55/0.77 ; Path-index has 4,807 nodes (4,809 at peak, 5,141 added, 334 deleted).
% 0.55/0.77 ; Trie-index has 1,577 entries (1,581 at peak, 2,004 added, 427 deleted).
% 0.55/0.77 ; Trie-index has 15,174 nodes (15,200 at peak, 18,951 added, 3,777 deleted).
% 0.55/0.77 ; Retrieved 17,212 generalization terms in 13,895 calls.
% 0.55/0.77 ; Retrieved 4,830 instance terms in 645 calls.
% 0.55/0.77 ; Retrieved 9,542 unifiable terms in 408 calls.
% 0.55/0.77 ;
% 0.55/0.77 ; The agenda of rows to process has 30 entries:
% 0.55/0.77 ; 1 with value 15 4 with value 25 1 with value 31
% 0.55/0.77 ; 2 with value 16 5 with value 26 6 with value 34
% 0.55/0.77 ; 1 with value 18 3 with value 27 2 with value 35
% 0.55/0.77 ; 2 with value 20 1 with value 30 1 with value 38
% 0.55/0.77 ; 1 with value 21
% 0.55/0.77 ; The agenda of rows to give has 391 entries:
% 0.55/0.77 ; 7 with value (4 22) 23 with value (4 35) 36 with value (4 48)
% 0.55/0.77 ; 7 with value (4 23) 9 with value (4 36) 29 with value (4 49)
% 0.55/0.77 ; 6 with value (4 24) 8 with value (4 37) 2 with value (4 50)
% 0.55/0.77 ; 7 with value (4 25) 4 with value (4 38) 2 with value (4 51)
% 0.55/0.77 ; 10 with value (4 26) 7 with value (4 39) 13 with value (4 52)
% 0.55/0.77 ; 18 with value (4 27) 4 with value (4 40) 4 with value (4 53)
% 0.55/0.77 ; 8 with value (4 28) 26 with value (4 41) 3 with value (4 54)
% 0.55/0.77 ; 3 with value (4 29) 12 with value (4 42) 2 with value (4 56)
% 0.55/0.77 ; 13 with value (4 30) 2 with value (4 43) 17 with value (4 57)
% 0.55/0.77 ; 27 with value (4 31) 3 with value (4 44) 4 with value (4 60)
% 0.55/0.77 ; 25 with value (4 32) 1 with value (4 45) 12 with value (4 61)
% 0.55/0.77 ; 11 with value (4 33) 3 with value (4 46) 2 with value (4 62)
% 0.55/0.77 ; 2 with value (4 34) 17 with value (4 47) 2 with value (4 63)
% 0.55/0.77 Evaluation took:
% 0.55/0.77 0.291 seconds of real time
% 0.55/0.77 0.273268 seconds of user run time
% 0.55/0.77 0.017092 seconds of system run time
% 0.55/0.77 [Run times include 0.012 seconds GC run time.]
% 0.55/0.77 0 calls to %EVAL
% 0.55/0.77 0 page faults and
% 0.55/0.77 19,448,144 bytes consed.
% 0.55/0.77 :PROOF-FOUND
% 0.55/0.77 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:26:09
% 0.55/0.77 :PROOF-FOUND
% 0.55/0.77 *
%------------------------------------------------------------------------------