TSTP Solution File: GRP699-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP699-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sat Jul 16 11:40:23 EDT 2022
% Result : Unsatisfiable 1.30s 1.46s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 2 RR)
% Number of literals : 12 ( 11 equ; 1 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X,ld(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c08,axiom,
mult(mult(X,Y),mult(Y,mult(Z,Y))) = mult(mult(X,mult(Y,mult(Y,Z))),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
mult(X,mult(X,mult(Y,X))) = mult(mult(X,mult(X,Y)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c08,c06,theory(equality)]),c06,theory(equality)]) ).
cnf(29,plain,
mult(mult(X,Y),mult(Y,mult(ld(Y,Z),Y))) = mult(mult(X,mult(Y,Z)),Y),
inference('PARAMODULATE',[status(thm)],[c08,c01,theory(equality)]) ).
cnf(112,plain,
ld(X,mult(mult(X,mult(X,Y)),X)) = mult(X,mult(Y,X)),
inference('PARAMODULATE',[status(thm)],[c02,26,theory(equality)]) ).
cnf(345,plain,
ld(X,mult(mult(X,Y),X)) = mult(X,mult(ld(X,Y),X)),
inference('PARAMODULATE',[status(thm)],[112,c01,theory(equality)]) ).
cnf(346,plain,
mult(mult(X,Y),ld(Y,mult(mult(Y,Z),Y))) = mult(mult(X,mult(Y,Z)),Y),
inference('REWRITE',[status(thm)],[29,345,theory(equality)]) ).
cnf(1767,plain,
mult(mult(X,Y),ld(Y,mult(Z,Y))) = mult(mult(X,Z),Y),
inference('PARAMODULATE',[status(thm)],[346,c01,theory(equality)]) ).
cnf(1768,plain,
$false,
inference('REWRITE',[status(thm)],[goals,1767,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP699-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 09:44:50 EDT 2022
% 0.14/0.34 % 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 2022-06-14T09:44:50
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-14T09:44:50
% 0.20/0.48
% 0.20/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 1.30/1.46 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 1.30/1.46
% 1.30/1.46 #||
% 1.30/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.46 % SZS output start Refutation
% See solution above
% 1.30/1.47 ||#
% 1.30/1.47
% 1.30/1.47 ; Summary of computation:
% 1.30/1.47 ; 3615 formulas have been input or derived (from 89 formulas).
% 1.30/1.47 ; 1768 (49%) were retained. Of these,
% 1.30/1.47 ; 1083 (61%) were simplified or subsumed later,
% 1.30/1.47 ; 685 (39%) are still being kept.
% 1.30/1.47 ;
% 1.30/1.47 ; Run time in seconds excluding printing time:
% 1.30/1.47 ; 0.002 0% Read assertion file (1 call)
% 1.30/1.47 ; 0.001 0% Assert (9 calls)
% 1.30/1.47 ; 0.330 33% Process new row (3,360 calls)
% 1.30/1.47 ; 0.003 0% Resolution (176 calls)
% 1.30/1.47 ; 0.073 7% Paramodulation (88 calls)
% 1.30/1.47 ; 0.219 22% Forward simplification (3,031 calls)
% 1.30/1.47 ; 0.166 17% Backward simplification (1,768 calls)
% 1.30/1.47 ; 0.167 17% Ordering (13,402 calls)
% 1.30/1.47 ; 0.000 0% Sortal reasoning (32 calls)
% 1.30/1.47 ; 0.000 0% Purity testing (1 call)
% 1.30/1.47 ; 0.036 4% Other
% 1.30/1.47 ; 0.997 Total
% 1.30/1.47 ; 0.999 Real time
% 1.30/1.47 ;
% 1.30/1.47 ; Term-hash-array has 5,696 terms in all.
% 1.30/1.47 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.30/1.47 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.30/1.47 ; Path-index has 2,709 entries (2,861 at peak, 6,197 added, 3,488 deleted).
% 1.30/1.47 ; Path-index has 32,823 nodes (33,082 at peak, 39,328 added, 6,505 deleted).
% 1.30/1.47 ; Trie-index has 2,709 entries (2,861 at peak, 6,197 added, 3,488 deleted).
% 1.30/1.47 ; Trie-index has 46,294 nodes (48,613 at peak, 95,450 added, 49,156 deleted).
% 1.30/1.47 ; Retrieved 76,596 generalization terms in 51,353 calls.
% 1.30/1.47 ; Retrieved 13,301 instance terms in 1,987 calls.
% 1.30/1.47 ; Retrieved 16,532 unifiable terms in 603 calls.
% 1.30/1.47 ;
% 1.30/1.47 ; The agenda of backward simplifiable rows to process has 34 entries:
% 1.30/1.47 ; 34 with value 0
% 1.30/1.47 ; The agenda of rows to process has 156 entries:
% 1.30/1.47 ; 2 with value 23 4 with value 38 7 with value 52
% 1.30/1.47 ; 4 with value 24 3 with value 39 2 with value 53
% 1.30/1.47 ; 5 with value 26 4 with value 40 7 with value 54
% 1.30/1.47 ; 3 with value 27 4 with value 41 9 with value 56
% 1.30/1.47 ; 3 with value 28 1 with value 42 7 with value 57
% 1.30/1.47 ; 2 with value 30 5 with value 43 3 with value 58
% 1.30/1.47 ; 4 with value 31 3 with value 44 5 with value 60
% 1.30/1.47 ; 4 with value 32 7 with value 45 6 with value 61
% 1.30/1.47 ; 3 with value 33 2 with value 46 2 with value 62
% 1.30/1.47 ; 2 with value 34 7 with value 47 1 with value 63
% 1.30/1.47 ; 6 with value 35 4 with value 48 3 with value 64
% 1.30/1.47 ; 12 with value 36 2 with value 49 5 with value 65
% 1.30/1.47 ; 3 with value 37
% 1.30/1.47 ; The agenda of rows to give has 638 entries:
% 1.30/1.47 ; 1 with value (4 21) 13 with value (4 55) 2 with value (4 86)
% 1.30/1.47 ; 9 with value (4 25) 10 with value (4 56) 2 with value (4 89)
% 1.30/1.47 ; 16 with value (4 26) 15 with value (4 57) 3 with value (4 90)
% 1.30/1.47 ; 11 with value (4 27) 3 with value (4 58) 1 with value (4 91)
% 1.30/1.47 ; 7 with value (4 28) 13 with value (4 59) 3 with value (4 92)
% 1.30/1.47 ; 9 with value (4 29) 10 with value (4 60) 2 with value (4 93)
% 1.30/1.47 ; 16 with value (4 30) 14 with value (4 61) 2 with value (4 94)
% 1.30/1.47 ; 17 with value (4 31) 8 with value (4 62) 1 with value (4 95)
% 1.30/1.47 ; 9 with value (4 32) 9 with value (4 63) 3 with value (4 96)
% 1.30/1.47 ; 11 with value (4 33) 5 with value (4 64) 1 with value (4 101)
% 1.30/1.47 ; 10 with value (4 34) 6 with value (4 65) 3 with value (4 103)
% 1.30/1.47 ; 17 with value (4 35) 8 with value (4 66) 2 with value (4 105)
% 1.30/1.47 ; 23 with value (4 36) 3 with value (4 67) 1 with value (4 106)
% 1.30/1.47 ; 7 with value (4 37) 5 with value (4 68) 1 with value (4 107)
% 1.30/1.47 ; 13 with value (4 38) 3 with value (4 69) 1 with value (4 109)
% 1.30/1.47 ; 14 with value (4 39) 6 with value (4 70) 2 with value (4 110)
% 1.30/1.47 ; 13 with value (4 40) 5 with value (4 71) 2 with value (4 113)
% 1.30/1.47 ; 7 with value (4 41) 1 with value (4 72) 1 with value (4 117)
% 1.30/1.47 ; 12 with value (4 42) 5 with value (4 73) 1 with value (4 128)
% 1.30/1.47 ; 12 with value (4 43) 5 with value (4 74) 2 with value (4 131)
% 1.30/1.47 ; 6 with value (4 44) 7 with value (4 75) 1 with value (4 133)
% 1.30/1.47 ; 7 with value (4 45) 3 with value (4 76) 1 with value (4 155)
% 1.30/1.47 ; 9 with value (4 46) 8 with value (4 77) 1 with value (4 158)
% 1.30/1.47 ; 16 with value (4 47) 4 with value (4 78) 1 with value (4 159)
% 1.30/1.47 ; 3 with value (4 48) 2 with value (4 79) 2 with value (4 160)
% 1.30/1.47 ; 20 with value (4 49) 3 with value (4 80) 1 with value (4 184)
% 1.30/1.47 ; 14 with value (4 50) 4 with value (4 81) 2 with value (4 187)
% 1.30/1.47 ; 22 with value (4 51) 2 with value (4 82) 2 with value (4 235)
% 1.30/1.47 ; 34 with value (4 52) 3 with value (4 83) 1 with value (4 237)
% 1.30/1.47 ; 15 with value (4 53) 3 with value (4 85) 1 with value (4 260)
% 1.30/1.47 ; 23 with value (4 54)
% 1.30/1.47 Evaluation took:
% 1.30/1.47 1.0 seconds of real time
% 1.30/1.47 0.931899 seconds of user run time
% 1.30/1.47 0.067722 seconds of system run time
% 1.30/1.47 [Run times include 0.117 seconds GC run time.]
% 1.30/1.47 0 calls to %EVAL
% 1.30/1.47 0 page faults and
% 1.30/1.47 72,858,584 bytes consed.
% 1.30/1.47 :PROOF-FOUND
% 1.30/1.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:44:51
% 1.30/1.47 :PROOF-FOUND
% 1.30/1.47 *
%------------------------------------------------------------------------------