TSTP Solution File: NUM849+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:14:39 EDT 2022
% Result : Theorem 10.69s 10.90s
% Output : Refutation 10.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 3 neg)
% Maximal clause size : 2 ( 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vmul(vmul(vd448,vd449),'SKOLEMAAAV1') = vmul(vd448,vmul(vd449,'SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
cnf(2,negated_conjecture,
vmul(vmul(vd448,vd449),vsucc('SKOLEMAAAV1')) != vmul(vd448,vmul(vd449,vsucc('SKOLEMAAAV1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
cnf(5,axiom,
( vmul(vmul(vd448,vd449),X) != vmul(vd448,vmul(vd449,X))
| vplus(vmul(vmul(vd448,vd449),X),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X)),vmul(vd448,vd449)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 2)') ).
cnf(9,axiom,
vmul(X,vplus(Y,Z)) = vplus(vmul(X,Y),vmul(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
cnf(11,axiom,
vmul(vsucc(X),Y) = vplus(vmul(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
cnf(63,plain,
( vmul(vmul(vd448,vd449),X) != vmul(vd448,vmul(vd449,X))
| vmul(vmul(vd448,vd449),vsucc(X)) = vmul(vd448,vmul(vd449,vsucc(X))) ),
inference('REWRITE',[status(thm)],[5,11,9,theory(equality)]) ).
cnf(546,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[63,1,2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n013.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 : Wed Jul 6 23:38:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T23:38:45
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-06T23:38:45
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.20/0.51 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.20/0.51 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.20/0.51 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.20/0.51 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.20/0.51 ; Declaring vmul to be commutative.
% 0.20/0.51 ; Declaring vplus to be commutative.
% 10.69/10.90 ; Declaring vplus to be associative-commutative.
% 10.69/10.90
% 10.69/10.90 #||
% 10.69/10.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.69/10.90 % SZS output start Refutation
% See solution above
% 10.69/10.90 ||#
% 10.69/10.90
% 10.69/10.90 ; Summary of computation:
% 10.69/10.90 ; 4555 formulas have been input or derived (from 56 formulas).
% 10.69/10.90 ; 546 (12%) were retained. Of these,
% 10.69/10.90 ; 11 ( 2%) were simplified or subsumed later,
% 10.69/10.90 ; 535 (98%) are still being kept.
% 10.69/10.90 ;
% 10.69/10.90 ; Run time in seconds:
% 10.69/10.90 ; 0.012 0% Read assertion file (1 call)
% 10.69/10.90 ; 0.002 0% Assert (56 calls)
% 10.69/10.90 ; 0.052 0% Process new row (4,426 calls)
% 10.69/10.90 ; 9.418 90% Resolution (110 calls)
% 10.69/10.90 ; 0.017 0% Paramodulation (55 calls)
% 10.69/10.90 ; 0.000 0% Factoring (3 calls)
% 10.69/10.90 ; 0.001 0% Embedding (48 calls)
% 10.69/10.90 ; 0.116 1% Condensing (1,052 calls)
% 10.69/10.90 ; 0.030 0% Forward subsumption (1,052 calls)
% 10.69/10.90 ; 0.005 0% Backward subsumption (346 calls)
% 10.69/10.90 ; 0.074 1% Clause clause subsumption (2,174 calls)
% 10.69/10.90 ; 0.593 6% Forward simplification (4,379 calls)
% 10.69/10.90 ; 0.009 0% Backward simplification (499 calls)
% 10.69/10.90 ; 0.003 0% Ordering (827 calls)
% 10.69/10.90 ; 0.037 0% Ordering ac (416 calls)
% 10.69/10.90 ; 0.000 0% Sortal reasoning (32 calls)
% 10.69/10.90 ; 0.000 0% Purity testing (1 call)
% 10.69/10.90 ; 0.040 0% Other
% 10.69/10.90 ; 10.409 Total
% 10.69/10.90 ; 10.412 Real time
% 10.69/10.90 ;
% 10.69/10.90 ; Term-hash-array has 1,124 terms in all.
% 10.69/10.90 ; Feature-vector-row-index has 340 entries (340 at peak, 346 added, 6 deleted).
% 10.69/10.90 ; Feature-vector-row-index has 1,282 nodes (1,282 at peak, 1,372 added, 90 deleted).
% 10.69/10.90 ; Retrieved 3,874 possibly forward subsuming rows in 1,052 calls.
% 10.69/10.90 ; Retrieved 167 possibly backward subsumed rows in 346 calls.
% 10.69/10.90 ; Path-index has 1,105 entries (1,105 at peak, 1,135 added, 30 deleted).
% 10.69/10.90 ; Path-index has 746 nodes (746 at peak, 776 added, 30 deleted).
% 10.69/10.90 ; Trie-index has 1,105 entries (1,105 at peak, 1,135 added, 30 deleted).
% 10.69/10.90 ; Trie-index has 552 nodes (552 at peak, 600 added, 48 deleted).
% 10.69/10.90 ; Retrieved 667,225 generalization terms in 44,541 calls.
% 10.69/10.90 ; Retrieved 997 instance terms in 163 calls.
% 10.69/10.90 ; Retrieved 72,733 unifiable terms in 1,811 calls.
% 10.69/10.90 ;
% 10.69/10.90 ; The agenda of rows to process has 8 entries:
% 10.69/10.90 ; 1 with value 15 2 with value 30 1 with value 32
% 10.69/10.90 ; 4 with value 18
% 10.69/10.90 ; The agenda of rows to give has 479 entries:
% 10.69/10.90 ; 5 with value (4 5) 11 with value (4 20) 14 with value (4 34)
% 10.69/10.90 ; 4 with value (4 7) 12 with value (4 21) 19 with value (4 36)
% 10.69/10.90 ; 4 with value (4 8) 20 with value (4 22) 3 with value (4 37)
% 10.69/10.90 ; 4 with value (4 9) 22 with value (4 23) 2 with value (4 38)
% 10.69/10.90 ; 7 with value (4 10) 27 with value (4 24) 6 with value (4 40)
% 10.69/10.90 ; 12 with value (4 11) 27 with value (4 25) 8 with value (4 42)
% 10.69/10.90 ; 10 with value (4 12) 11 with value (4 26) 6 with value (4 43)
% 10.69/10.90 ; 18 with value (4 13) 19 with value (4 27) 3 with value (4 44)
% 10.69/10.90 ; 10 with value (4 14) 23 with value (4 28) 1 with value (4 45)
% 10.69/10.90 ; 10 with value (4 15) 21 with value (4 29) 3 with value (4 48)
% 10.69/10.90 ; 13 with value (4 16) 11 with value (4 30) 2 with value (4 51)
% 10.69/10.90 ; 22 with value (4 17) 5 with value (4 31) 2 with value (4 61)
% 10.69/10.90 ; 24 with value (4 18) 25 with value (4 32) 2 with value (4 67)
% 10.69/10.90 ; 31 with value (4 19)
% 10.69/10.90 Evaluation took:
% 10.69/10.90 10.412 seconds of real time
% 10.69/10.90 10.315073 seconds of user run time
% 10.69/10.90 0.095687 seconds of system run time
% 10.69/10.90 [Run times include 0.27 seconds GC run time.]
% 10.69/10.90 0 calls to %EVAL
% 10.69/10.90 0 page faults and
% 10.69/10.90 1,009,716,016 bytes consed.
% 10.69/10.90 :PROOF-FOUND
% 10.69/10.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T23:38:55
% 10.69/10.90 :PROOF-FOUND
% 10.69/10.90 *
%------------------------------------------------------------------------------