TSTP Solution File: GRP657-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 11:40:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 2 RR)
% Number of literals : 13 ( 12 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
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(mult(X,Y),mult(Z,X)) = mult(X,mult(mult(Y,Z),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(goal,negated_conjecture,
tuple(mult(X,x1(X)),mult(x1_2(X),X)) != tuple(x1(X),x1_2(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(9,plain,
rd(mult(mult(X,Y),mult(Z,X)),mult(mult(Y,Z),X)) = X,
inference('PARAMODULATE',[status(thm)],[f04,f05,theory(equality)]) ).
cnf(10,plain,
ld(X,mult(mult(X,Y),mult(Z,X))) = mult(mult(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[f02,f05,theory(equality)]) ).
cnf(11,plain,
mult(mult(X,rd(Y,Z)),mult(Z,X)) = mult(X,mult(Y,X)),
inference('PARAMODULATE',[status(thm)],[f05,f03,theory(equality)]) ).
cnf(37,plain,
rd(mult(X,mult(Y,X)),mult(Z,X)) = mult(X,rd(Y,Z)),
inference('PARAMODULATE',[status(thm)],[f04,11,theory(equality)]) ).
cnf(39,plain,
mult(X,rd(Y,Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,11,theory(equality)]),37,f03,theory(equality)]) ).
cnf(55,plain,
mult(X,Y) = mult(mult(rd(Z,Z),X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,39,theory(equality)]),f02,theory(equality)]) ).
cnf(57,plain,
X = mult(rd(Y,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,39,theory(equality)]),39,f03,55,theory(equality)]) ).
cnf(61,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[goal,39,theory(equality)]),57,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 12:11:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T12:11:38
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-14T12:11:38
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 122 formulas have been input or derived (from 13 formulas).
% 0.19/0.52 ; 61 (50%) were retained. Of these,
% 0.19/0.52 ; 5 ( 8%) were simplified or subsumed later,
% 0.19/0.52 ; 56 (92%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (6 calls)
% 0.19/0.52 ; 0.012 22% Process new row (121 calls)
% 0.19/0.52 ; 0.000 0% Resolution (24 calls)
% 0.19/0.52 ; 0.003 5% Paramodulation (12 calls)
% 0.19/0.52 ; 0.006 11% Forward simplification (121 calls)
% 0.19/0.52 ; 0.002 4% Backward simplification (61 calls)
% 0.19/0.52 ; 0.008 15% Ordering (569 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.023 42% Other
% 0.19/0.52 ; 0.055 Total
% 0.19/0.52 ; 0.058 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 259 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.52 ; Path-index has 245 entries (245 at peak, 260 added, 15 deleted).
% 0.19/0.52 ; Path-index has 1,171 nodes (1,173 at peak, 1,193 added, 22 deleted).
% 0.19/0.52 ; Trie-index has 245 entries (245 at peak, 260 added, 15 deleted).
% 0.19/0.52 ; Trie-index has 1,468 nodes (1,470 at peak, 1,559 added, 91 deleted).
% 0.19/0.52 ; Retrieved 537 generalization terms in 919 calls.
% 0.19/0.52 ; Retrieved 161 instance terms in 73 calls.
% 0.19/0.52 ; Retrieved 280 unifiable terms in 75 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to give has 43 entries:
% 0.19/0.52 ; 1 with value (4 12) 1 with value (4 25) 1 with value (4 34)
% 0.19/0.52 ; 2 with value (4 13) 4 with value (4 26) 3 with value (4 35)
% 0.19/0.52 ; 3 with value (4 17) 3 with value (4 29) 1 with value (4 38)
% 0.19/0.52 ; 1 with value (4 20) 6 with value (4 30) 5 with value (4 39)
% 0.19/0.52 ; 4 with value (4 21) 4 with value (4 31) 1 with value (4 45)
% 0.19/0.52 ; 3 with value (4 22)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.058 seconds of real time
% 0.19/0.52 0.047202 seconds of user run time
% 0.19/0.52 0.011152 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,578,840 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T12:11:38
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------