TSTP Solution File: GRP710-11 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 11:40:28 EDT 2022
% Result : Unsatisfiable 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 10 equ; 4 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; 3 con; 0-2 aty)
% Number of variables : 14 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(f02,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(f03,axiom,
mult(X,mult(Y,mult(Y,Z))) = mult(mult(mult(X,Y),Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(f05,axiom,
mult(i(X),X) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(goal,negated_conjecture,
mult(X,x4) != x3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(12,plain,
mult(X,mult(Y,Y)) = mult(mult(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f01,f03,theory(equality)]),f01,theory(equality)]) ).
cnf(58,plain,
mult(X,mult(x4,x4)) != x3,
inference('PARAMODULATE',[status(thm)],[goal,12,theory(equality)]) ).
cnf(59,plain,
mult(i(X),mult(X,X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,f05,theory(equality)]),f02,theory(equality)]) ).
cnf(83,plain,
mult(X,mult(Y,mult(Y,mult(x4,x4)))) != x3,
inference('PARAMODULATE',[status(thm)],[58,f03,theory(equality)]) ).
cnf(246,plain,
X != x3,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[83,59,theory(equality)]),f01,f05,theory(equality)]) ).
cnf(247,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[246,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 Jun 13 10:26:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:26:03
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-13T10:26:03
% 0.20/0.48
% 0.20/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.20/0.48 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.20/0.48 ; Recognized possible right inverse assertion (= (|mult| ?X (|i| ?X)) |unit|).
% 0.48/0.64 ; Recognized possible left inverse assertion (= (|mult| (|i| ?X) ?X) |unit|).
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 816 formulas have been input or derived (from 54 formulas).
% 0.48/0.64 ; 247 (30%) were retained. Of these,
% 0.48/0.64 ; 126 (51%) were simplified or subsumed later,
% 0.48/0.64 ; 121 (49%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds:
% 0.48/0.64 ; 0.002 1% Read assertion file (1 call)
% 0.48/0.64 ; 0.000 0% Assert (6 calls)
% 0.48/0.64 ; 0.032 19% Process new row (769 calls)
% 0.48/0.64 ; 0.004 2% Resolution (106 calls)
% 0.48/0.64 ; 0.015 9% Paramodulation (53 calls)
% 0.48/0.64 ; 0.046 27% Forward simplification (745 calls)
% 0.48/0.64 ; 0.011 6% Backward simplification (247 calls)
% 0.48/0.64 ; 0.035 21% Ordering (5,175 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.000 0% Purity testing (1 call)
% 0.48/0.64 ; 0.025 15% Other
% 0.48/0.64 ; 0.170 Total
% 0.48/0.64 ; 0.171 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 721 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.48/0.64 ; Path-index has 385 entries (677 at peak, 735 added, 350 deleted).
% 0.48/0.64 ; Path-index has 641 nodes (870 at peak, 911 added, 270 deleted).
% 0.48/0.64 ; Trie-index has 385 entries (677 at peak, 735 added, 350 deleted).
% 0.48/0.64 ; Trie-index has 1,907 nodes (3,229 at peak, 3,510 added, 1,603 deleted).
% 0.48/0.64 ; Retrieved 15,621 generalization terms in 5,146 calls.
% 0.48/0.64 ; Retrieved 1,410 instance terms in 328 calls.
% 0.48/0.64 ; Retrieved 3,726 unifiable terms in 379 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of rows to give has 98 entries:
% 0.48/0.64 ; 2 with value (4 19) 4 with value (4 26) 2 with value (4 33)
% 0.48/0.64 ; 4 with value (4 20) 10 with value (4 27) 2 with value (4 34)
% 0.48/0.64 ; 12 with value (4 21) 4 with value (4 28) 4 with value (4 36)
% 0.48/0.64 ; 1 with value (4 22) 10 with value (4 29) 4 with value (4 37)
% 0.48/0.64 ; 8 with value (4 23) 11 with value (4 30) 2 with value (4 38)
% 0.48/0.64 ; 8 with value (4 24) 2 with value (4 31) 2 with value (4 39)
% 0.48/0.64 ; 6 with value (4 25)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.171 seconds of real time
% 0.48/0.64 0.154198 seconds of user run time
% 0.48/0.64 0.017228 seconds of system run time
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 9,517,336 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:26:03
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------