TSTP Solution File: GRP679-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:40:16 EDT 2022
% Result : Unsatisfiable 2.91s 3.07s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 3 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 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c07,axiom,
mult(X,mult(Y,mult(X,Z))) = mult(mult(X,mult(Y,X)),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c08,axiom,
mult(op_c,X) = mult(X,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(goals,negated_conjecture,
mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(14,plain,
ld(op_c,mult(X,op_c)) = X,
inference('PARAMODULATE',[status(thm)],[c02,c08,theory(equality)]) ).
cnf(22,plain,
mult(X,mult(X,Y)) = mult(mult(X,X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c07,c06,theory(equality)]),c06,theory(equality)]) ).
cnf(23,plain,
mult(op_c,mult(op_c,a)) != mult(a,mult(op_c,op_c)),
inference('REWRITE',[status(thm)],[goals,22,theory(equality)]) ).
cnf(35,plain,
ld(X,mult(mult(X,mult(Y,X)),Z)) = mult(Y,mult(X,Z)),
inference('PARAMODULATE',[status(thm)],[c02,c07,theory(equality)]) ).
cnf(47,plain,
mult(op_c,mult(a,op_c)) != mult(a,mult(op_c,op_c)),
inference('PARAMODULATE',[status(thm)],[23,c08,theory(equality)]) ).
cnf(2277,plain,
mult(X,mult(op_c,op_c)) = mult(op_c,mult(X,op_c)),
inference('PARAMODULATE',[status(thm)],[14,35,theory(equality)]) ).
cnf(2278,plain,
$false,
inference('REWRITE',[status(thm)],[47,2277,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP679-1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 21:50:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T21:50:13
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T21:50:13
% 0.21/0.51
% 0.21/0.51 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 2.91/3.07 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 2.91/3.07
% 2.91/3.07 #||
% 2.91/3.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/3.07 % SZS output start Refutation
% See solution above
% 2.91/3.07 ||#
% 2.91/3.07
% 2.91/3.07 ; Summary of computation:
% 2.91/3.07 ; 7517 formulas have been input or derived (from 112 formulas).
% 2.91/3.07 ; 2278 (30%) were retained. Of these,
% 2.91/3.07 ; 312 (14%) were simplified or subsumed later,
% 2.91/3.07 ; 1966 (86%) are still being kept.
% 2.91/3.07 ;
% 2.91/3.07 ; Run time in seconds:
% 2.91/3.07 ; 0.001 0% Read assertion file (1 call)
% 2.91/3.07 ; 0.001 0% Assert (9 calls)
% 2.91/3.07 ; 0.245 10% Process new row (6,918 calls)
% 2.91/3.07 ; 0.007 0% Resolution (222 calls)
% 2.91/3.07 ; 0.118 5% Paramodulation (111 calls)
% 2.91/3.07 ; 0.791 31% Forward simplification (6,879 calls)
% 2.91/3.07 ; 0.128 5% Backward simplification (2,278 calls)
% 2.91/3.07 ; 1.230 48% Ordering (236,185 calls)
% 2.91/3.07 ; 0.001 0% Sortal reasoning (32 calls)
% 2.91/3.07 ; 0.000 0% Purity testing (1 call)
% 2.91/3.07 ; 0.054 2% Other
% 2.91/3.07 ; 2.576 Total
% 2.91/3.07 ; 2.577 Real time
% 2.91/3.07 ;
% 2.91/3.07 ; Term-hash-array has 5,480 terms in all.
% 2.91/3.07 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.91/3.07 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.91/3.07 ; Path-index has 4,883 entries (4,895 at peak, 5,571 added, 688 deleted).
% 2.91/3.07 ; Path-index has 4,521 nodes (4,533 at peak, 4,739 added, 218 deleted).
% 2.91/3.07 ; Trie-index has 4,883 entries (4,895 at peak, 5,571 added, 688 deleted).
% 2.91/3.07 ; Trie-index has 33,288 nodes (33,331 at peak, 37,449 added, 4,161 deleted).
% 2.91/3.07 ; Retrieved 289,072 generalization terms in 61,859 calls.
% 2.91/3.07 ; Retrieved 26,427 instance terms in 3,901 calls.
% 2.91/3.07 ; Retrieved 20,192 unifiable terms in 824 calls.
% 2.91/3.07 ;
% 2.91/3.07 ; The agenda of backward simplifiable rows to process has 3 entries:
% 2.91/3.07 ; 3 with value 0
% 2.91/3.07 ; The agenda of rows to process has 364 entries:
% 2.91/3.07 ; 5 with value 19 34 with value 27 11 with value 35
% 2.91/3.07 ; 3 with value 20 23 with value 28 11 with value 36
% 2.91/3.07 ; 5 with value 21 24 with value 29 6 with value 37
% 2.91/3.07 ; 25 with value 22 28 with value 30 3 with value 38
% 2.91/3.07 ; 17 with value 23 11 with value 31 1 with value 39
% 2.91/3.07 ; 10 with value 24 50 with value 32 25 with value 40
% 2.91/3.07 ; 12 with value 25 20 with value 33 7 with value 42
% 2.91/3.07 ; 17 with value 26 16 with value 34
% 2.91/3.07 ; The agenda of rows to give has 1868 entries:
% 2.91/3.07 ; 1 with value (4 16) 60 with value (4 32) 9 with value (4 44)
% 2.91/3.07 ; 47 with value (4 21) 43 with value (4 33) 3 with value (4 45)
% 2.91/3.07 ; 108 with value (4 22) 45 with value (4 34) 7 with value (4 47)
% 2.91/3.07 ; 73 with value (4 23) 101 with value (4 35) 12 with value (4 48)
% 2.91/3.07 ; 144 with value (4 24) 83 with value (4 36) 6 with value (4 49)
% 2.91/3.07 ; 36 with value (4 25) 55 with value (4 37) 2 with value (4 51)
% 2.91/3.07 ; 150 with value (4 26) 26 with value (4 38) 2 with value (4 52)
% 2.91/3.07 ; 169 with value (4 27) 60 with value (4 39) 2 with value (4 54)
% 2.91/3.07 ; 139 with value (4 28) 23 with value (4 40) 1 with value (4 55)
% 2.91/3.07 ; 149 with value (4 29) 8 with value (4 41) 1 with value (4 56)
% 2.91/3.07 ; 89 with value (4 30) 8 with value (4 42) 2 with value (4 58)
% 2.91/3.07 ; 167 with value (4 31) 36 with value (4 43) 1 with value (4 62)
% 2.91/3.07 Evaluation took:
% 2.91/3.07 2.578 seconds of real time
% 2.91/3.07 2.261327 seconds of user run time
% 2.91/3.07 0.31609 seconds of system run time
% 2.91/3.07 [Run times include 0.135 seconds GC run time.]
% 2.91/3.07 0 calls to %EVAL
% 2.91/3.07 0 page faults and
% 2.91/3.07 152,432,768 bytes consed.
% 2.91/3.07 :PROOF-FOUND
% 2.91/3.07 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T21:50:15
% 2.91/3.07 :PROOF-FOUND
% 2.91/3.07 *
%------------------------------------------------------------------------------