TSTP Solution File: NUM004-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Mon Jul 18 14:06:02 EDT 2022
% Result : Unsatisfiable 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity,axiom,
equalish(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',reflexivity) ).
cnf(transitivity,axiom,
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',transitivity) ).
cnf(commutativity_of_addition,axiom,
equalish(add(X,Y),add(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity_of_addition) ).
cnf(commutativity2,axiom,
equalish(subtract(add(X,Y),Z),add(subtract(X,Z),Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity2) ).
cnf(subtract_substitution1,axiom,
( ~ equalish(X,Y)
| ~ equalish(Z,subtract(X,U))
| equalish(Z,subtract(Y,U)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',subtract_substitution1) ).
cnf(prove_equation,negated_conjecture,
~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(29,plain,
equalish(subtract(add(X,Y),Z),add(Y,subtract(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[transitivity,commutativity2,commutativity_of_addition]) ).
cnf(96,plain,
equalish(subtract(add(X,Y),Z),subtract(add(Y,X),Z)),
inference('HYPERRESOLVE',[status(thm)],[subtract_substitution1,commutativity_of_addition,reflexivity]) ).
cnf(1129,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity,29,prove_equation]),96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 5 22:44:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T22:44:28
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-05T22:44:28
% 0.56/0.74
% 0.56/0.74
% 0.56/0.74 #||
% 0.56/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74 % SZS output start Refutation
% See solution above
% 0.56/0.74 ||#
% 0.56/0.74
% 0.56/0.74 ; Summary of computation:
% 0.56/0.74 ; 2986 formulas have been input or derived (from 29 formulas).
% 0.56/0.74 ; 1129 (38%) were retained. Of these,
% 0.56/0.74 ; 1129 (100%) are still being kept.
% 0.56/0.74 ;
% 0.56/0.74 ; Run time in seconds:
% 0.56/0.74 ; 0.003 1% Read assertion file (1 call)
% 0.56/0.74 ; 0.000 0% Assert (13 calls)
% 0.56/0.74 ; 0.085 33% Process new row (2,744 calls)
% 0.56/0.74 ; 0.075 29% Resolution (56 calls)
% 0.56/0.74 ; 0.004 2% Paramodulation (28 calls)
% 0.56/0.74 ; 0.000 0% Condensing (5 calls)
% 0.56/0.74 ; 0.000 0% Forward subsumption (5 calls)
% 0.56/0.74 ; 0.000 0% Backward subsumption (5 calls)
% 0.56/0.74 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.56/0.74 ; 0.042 16% Forward simplification (2,744 calls)
% 0.56/0.74 ; 0.018 7% Backward simplification (1,129 calls)
% 0.56/0.74 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.74 ; 0.000 0% Purity testing (1 call)
% 0.56/0.74 ; 0.033 13% Other
% 0.56/0.74 ; 0.260 Total
% 0.56/0.74 ; 0.261 Real time
% 0.56/0.74 ;
% 0.56/0.74 ; Term-hash-array has 2,581 terms in all.
% 0.56/0.74 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.56/0.74 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.56/0.74 ; Retrieved 6 possibly forward subsuming rows in 5 calls.
% 0.56/0.74 ; Retrieved 2 possibly backward subsumed rows in 5 calls.
% 0.56/0.74 ; Path-index has 2,584 entries (2,584 at peak, 2,584 added, 0 deleted).
% 0.56/0.74 ; Path-index has 2,628 nodes (2,628 at peak, 2,628 added, 0 deleted).
% 0.56/0.74 ; Trie-index has 2,584 entries (2,584 at peak, 2,584 added, 0 deleted).
% 0.56/0.74 ; Trie-index has 6,675 nodes (6,675 at peak, 6,675 added, 0 deleted).
% 0.56/0.74 ; Retrieved 9,961 generalization terms in 2,753 calls.
% 0.56/0.74 ; Retrieved 2,904 instance terms in 1,123 calls.
% 0.56/0.74 ; Retrieved 92,663 unifiable terms in 2,149 calls.
% 0.56/0.74 ;
% 0.56/0.74 ; The agenda of rows to process has 196 entries:
% 0.56/0.74 ; 4 with value 16 4 with value 20 8 with value 24
% 0.56/0.74 ; 4 with value 17 34 with value 21 32 with value 26
% 0.56/0.74 ; 8 with value 18 38 with value 22 16 with value 27
% 0.56/0.74 ; 6 with value 19 26 with value 23 16 with value 28
% 0.56/0.74 ; The agenda of rows to give has 1100 entries:
% 0.56/0.74 ; 11 with value (4 15) 84 with value (4 20) 33 with value (4 25)
% 0.56/0.74 ; 35 with value (4 16) 123 with value (4 21) 52 with value (4 26)
% 0.56/0.74 ; 58 with value (4 17) 173 with value (4 22) 44 with value (4 27)
% 0.56/0.74 ; 106 with value (4 18) 152 with value (4 23) 56 with value (4 28)
% 0.56/0.74 ; 108 with value (4 19) 65 with value (4 24)
% 0.56/0.74 Evaluation took:
% 0.56/0.74 0.262 seconds of real time
% 0.56/0.74 0.234724 seconds of user run time
% 0.56/0.74 0.026815 seconds of system run time
% 0.56/0.74 [Run times include 0.013 seconds GC run time.]
% 0.56/0.74 0 calls to %EVAL
% 0.56/0.74 0 page faults and
% 0.56/0.74 16,786,936 bytes consed.
% 0.56/0.74 :PROOF-FOUND
% 0.56/0.74 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T22:44:28
% 0.56/0.74 :PROOF-FOUND
% 0.56/0.74 *
%------------------------------------------------------------------------------