TSTP Solution File: NUM003-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 0 equ; 6 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 : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(commutativity1,axiom,
equalish(add(subtract(X,Y),Z),subtract(add(X,Z),Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity1) ).
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(add(a,subtract(b,c)),add(subtract(a,c),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(25,plain,
equalish(add(X,subtract(Y,Z)),subtract(add(Y,X),Z)),
inference('HYPERRESOLVE',[status(thm)],[transitivity,commutativity1,commutativity_of_addition]) ).
cnf(33,plain,
~ equalish(add(a,subtract(b,c)),subtract(add(a,b),c)),
inference('UR-RESOLVE',[status(thm)],[transitivity,prove_equation,commutativity2]) ).
cnf(1040,plain,
equalish(add(X,subtract(Y,Z)),subtract(add(X,Y),Z)),
inference('HYPERRESOLVE',[status(thm)],[subtract_substitution1,25,commutativity_of_addition]) ).
cnf(1041,plain,
$false,
inference('REWRITE',[status(thm)],[33,1040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.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 : Thu Jul 7 22:13:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T22:13:16
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-07T22:13:16
% 0.56/0.73
% 0.56/0.73
% 0.56/0.73 #||
% 0.56/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73 % SZS output start Refutation
% See solution above
% 0.56/0.73 ||#
% 0.56/0.73
% 0.56/0.73 ; Summary of computation:
% 0.56/0.73 ; 2771 formulas have been input or derived (from 28 formulas).
% 0.56/0.73 ; 1041 (38%) were retained. Of these,
% 0.56/0.73 ; 1 ( 0%) were simplified or subsumed later,
% 0.56/0.73 ; 1040 (100%) are still being kept.
% 0.56/0.73 ;
% 0.56/0.73 ; Run time in seconds:
% 0.56/0.73 ; 0.003 1% Read assertion file (1 call)
% 0.56/0.73 ; 0.000 0% Assert (13 calls)
% 0.56/0.73 ; 0.070 28% Process new row (2,516 calls)
% 0.56/0.73 ; 0.072 28% Resolution (54 calls)
% 0.56/0.73 ; 0.000 0% Paramodulation (27 calls)
% 0.56/0.73 ; 0.000 0% Condensing (5 calls)
% 0.56/0.73 ; 0.000 0% Forward subsumption (5 calls)
% 0.56/0.73 ; 0.000 0% Backward subsumption (5 calls)
% 0.56/0.73 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.56/0.73 ; 0.038 15% Forward simplification (2,516 calls)
% 0.56/0.73 ; 0.040 16% Backward simplification (1,041 calls)
% 0.56/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.73 ; 0.000 0% Purity testing (1 call)
% 0.56/0.73 ; 0.031 12% Other
% 0.56/0.73 ; 0.254 Total
% 0.56/0.73 ; 0.254 Real time
% 0.56/0.73 ;
% 0.56/0.73 ; Term-hash-array has 2,355 terms in all.
% 0.56/0.73 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.56/0.73 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.56/0.73 ; Retrieved 6 possibly forward subsuming rows in 5 calls.
% 0.56/0.73 ; Retrieved 2 possibly backward subsumed rows in 5 calls.
% 0.56/0.73 ; Path-index has 2,355 entries (2,358 at peak, 2,358 added, 3 deleted).
% 0.56/0.73 ; Path-index has 2,600 nodes (2,601 at peak, 2,601 added, 1 deleted).
% 0.56/0.73 ; Trie-index has 2,355 entries (2,358 at peak, 2,358 added, 3 deleted).
% 0.56/0.73 ; Trie-index has 6,173 nodes (6,179 at peak, 6,179 added, 6 deleted).
% 0.56/0.73 ; Retrieved 8,621 generalization terms in 2,524 calls.
% 0.56/0.73 ; Retrieved 2,792 instance terms in 1,035 calls.
% 0.56/0.73 ; Retrieved 83,268 unifiable terms in 2,010 calls.
% 0.56/0.73 ;
% 0.56/0.73 ; The agenda of rows to process has 210 entries:
% 0.56/0.73 ; 16 with value 16 1 with value 20 8 with value 24
% 0.56/0.73 ; 8 with value 17 48 with value 21 28 with value 26
% 0.56/0.73 ; 4 with value 18 38 with value 22 16 with value 27
% 0.56/0.73 ; 1 with value 19 26 with value 23 16 with value 28
% 0.56/0.73 ; The agenda of rows to give has 1012 entries:
% 0.56/0.73 ; 12 with value (4 15) 83 with value (4 20) 33 with value (4 25)
% 0.56/0.73 ; 34 with value (4 16) 101 with value (4 21) 39 with value (4 26)
% 0.56/0.73 ; 56 with value (4 17) 155 with value (4 22) 36 with value (4 27)
% 0.56/0.73 ; 106 with value (4 18) 140 with value (4 23) 48 with value (4 28)
% 0.56/0.73 ; 108 with value (4 19) 61 with value (4 24)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.255 seconds of real time
% 0.56/0.73 0.228203 seconds of user run time
% 0.56/0.73 0.026637 seconds of system run time
% 0.56/0.73 [Run times include 0.012 seconds GC run time.]
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 15,584,424 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T22:13:17
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 *
%------------------------------------------------------------------------------