TSTP Solution File: NUM846+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM846+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:14:37 EDT 2022
% Result : Theorem 9.06s 9.24s
% Output : Refutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 9 equ; 3 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; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
cnf(2,axiom,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 1)') ).
cnf(5,axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
cnf(6,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),X)) = vplus(vmul(vd436,vplus(vd437,vd439)),X),
inference('EMBED',[status(thm)],[5]) ).
cnf(12,axiom,
vmul(vsucc(X),Y) = vplus(vmul(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
cnf(13,plain,
vplus(vmul(X,Y),vplus(Y,Z)) = vplus(vmul(vsucc(X),Y),Z),
inference('EMBED',[status(thm)],[12]) ).
cnf(64,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vmul(vd436,vd437),vmul(vsucc(vd439),vd436)),
inference('REWRITE',[status(thm)],[1,12,2,theory(equality)]) ).
cnf(187,plain,
vplus(vmul(vsucc(X),Y),vmul(Y,Z)) = vplus(vmul(vsucc(Z),Y),vmul(X,Y)),
inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).
cnf(189,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vmul(vd436,vsucc(vd437)),vmul(vd436,vd439)),
inference('REWRITE',[status(thm)],[64,187,theory(equality)]) ).
cnf(400,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,6,theory(equality)]),189,187,12,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM846+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 20:01:08 EDT 2022
% 0.12/0.34 % 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 2022-07-06T20:01:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-06T20:01:08
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.20/0.49 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.20/0.50 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.20/0.50 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.20/0.50 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.20/0.50 ; Declaring vplus to be commutative.
% 0.20/0.50 ; Declaring vplus to be associative-commutative.
% 9.06/9.24 ; Declaring vmul to be commutative.
% 9.06/9.24
% 9.06/9.24 #||
% 9.06/9.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.06/9.24 % SZS output start Refutation
% See solution above
% 9.06/9.25 ||#
% 9.06/9.25
% 9.06/9.25 ; Summary of computation:
% 9.06/9.25 ; 2879 formulas have been input or derived (from 49 formulas).
% 9.06/9.25 ; 400 (14%) were retained. Of these,
% 9.06/9.25 ; 13 ( 3%) were simplified or subsumed later,
% 9.06/9.25 ; 387 (97%) are still being kept.
% 9.06/9.25 ;
% 9.06/9.25 ; Run time in seconds excluding printing time:
% 9.06/9.25 ; 0.011 0% Read assertion file (1 call)
% 9.06/9.25 ; 0.002 0% Assert (55 calls)
% 9.06/9.25 ; 0.035 0% Process new row (2,575 calls)
% 9.06/9.25 ; 8.369 95% Resolution (96 calls)
% 9.06/9.25 ; 0.014 0% Paramodulation (48 calls)
% 9.06/9.25 ; 0.000 0% Factoring (2 calls)
% 9.06/9.25 ; 0.000 0% Embedding (21 calls)
% 9.06/9.25 ; 0.076 1% Condensing (755 calls)
% 9.06/9.25 ; 0.011 0% Forward subsumption (755 calls)
% 9.06/9.25 ; 0.003 0% Backward subsumption (251 calls)
% 9.06/9.25 ; 0.056 1% Clause clause subsumption (1,483 calls)
% 9.06/9.25 ; 0.149 2% Forward simplification (2,555 calls)
% 9.06/9.25 ; 0.005 0% Backward simplification (380 calls)
% 9.06/9.25 ; 0.001 0% Ordering (323 calls)
% 9.06/9.25 ; 0.009 0% Ordering ac (143 calls)
% 9.06/9.25 ; 0.000 0% Sortal reasoning (32 calls)
% 9.06/9.25 ; 0.000 0% Purity testing (1 call)
% 9.06/9.25 ; 0.031 0% Other
% 9.06/9.25 ; 8.772 Total
% 9.06/9.25 ; 8.774 Real time
% 9.06/9.25 ;
% 9.06/9.25 ; Term-hash-array has 723 terms in all.
% 9.06/9.25 ; Feature-vector-row-index has 249 entries (249 at peak, 251 added, 2 deleted).
% 9.06/9.25 ; Feature-vector-row-index has 957 nodes (957 at peak, 963 added, 6 deleted).
% 9.06/9.25 ; Retrieved 2,471 possibly forward subsuming rows in 755 calls.
% 9.06/9.25 ; Retrieved 102 possibly backward subsumed rows in 251 calls.
% 9.06/9.25 ; Path-index has 695 entries (695 at peak, 738 added, 43 deleted).
% 9.06/9.25 ; Path-index has 387 nodes (387 at peak, 434 added, 47 deleted).
% 9.06/9.25 ; Trie-index has 695 entries (695 at peak, 738 added, 43 deleted).
% 9.06/9.25 ; Trie-index has 348 nodes (348 at peak, 384 added, 36 deleted).
% 9.06/9.25 ; Retrieved 95,622 generalization terms in 16,025 calls.
% 9.06/9.25 ; Retrieved 541 instance terms in 134 calls.
% 9.06/9.25 ; Retrieved 63,774 unifiable terms in 1,653 calls.
% 9.06/9.25 ;
% 9.06/9.25 ; The agenda of rows to process has 207 entries:
% 9.06/9.25 ; 13 with value 21 31 with value 26 21 with value 32
% 9.06/9.25 ; 44 with value 22 14 with value 27 2 with value 34
% 9.06/9.25 ; 6 with value 23 26 with value 28 1 with value 38
% 9.06/9.25 ; 31 with value 24 3 with value 29 2 with value 43
% 9.06/9.25 ; 4 with value 25 9 with value 30
% 9.06/9.25 ; The agenda of input rows to give has 5 entries:
% 9.06/9.25 ; 3 with value 17 1 with value 19 1 with value 24
% 9.06/9.25 ; The agenda of rows to give has 333 entries:
% 9.06/9.25 ; 5 with value (4 5) 14 with value (4 16) 1 with value (4 26)
% 9.06/9.25 ; 4 with value (4 7) 22 with value (4 17) 9 with value (4 27)
% 9.06/9.25 ; 4 with value (4 8) 27 with value (4 18) 10 with value (4 28)
% 9.06/9.25 ; 3 with value (4 9) 23 with value (4 19) 10 with value (4 29)
% 9.06/9.25 ; 7 with value (4 10) 15 with value (4 20) 9 with value (4 30)
% 9.06/9.25 ; 10 with value (4 11) 8 with value (4 21) 2 with value (4 31)
% 9.06/9.25 ; 10 with value (4 12) 21 with value (4 22) 14 with value (4 32)
% 9.06/9.25 ; 20 with value (4 13) 13 with value (4 23) 8 with value (4 34)
% 9.06/9.25 ; 8 with value (4 14) 17 with value (4 24) 7 with value (4 36)
% 9.06/9.25 ; 10 with value (4 15) 20 with value (4 25) 2 with value (4 42)
% 9.06/9.25 Evaluation took:
% 9.06/9.25 8.774 seconds of real time
% 9.06/9.25 8.726496 seconds of user run time
% 9.06/9.25 0.047802 seconds of system run time
% 9.06/9.25 [Run times include 0.206 seconds GC run time.]
% 9.06/9.25 0 calls to %EVAL
% 9.06/9.25 0 page faults and
% 9.06/9.25 916,845,328 bytes consed.
% 9.06/9.25 :PROOF-FOUND
% 9.06/9.25 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T20:01:17
% 9.06/9.25 :PROOF-FOUND
% 9.06/9.25 *
%------------------------------------------------------------------------------