TSTP Solution File: NUM852+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 14:14:41 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 4 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
cnf(2,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
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,
( ~ less(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
cnf(18,axiom,
( less(X,Y)
| Y != vplus(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
cnf(19,axiom,
( ~ greater(X,Y)
| X = vplus(Y,'SKOLEMAAAU2'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
cnf(27,plain,
~ less(vmul(vd480,vd469),vmul(vd481,vd469)),
inference('UR-RESOLVE',[status(thm)],[11,1]) ).
cnf(39,plain,
vd481 = vplus(vd480,'SKOLEMAAAU2'(vd481,vd480)),
inference('HYPERRESOLVE',[status(thm)],[19,2]) ).
cnf(40,plain,
less(vmul(X,Y),vmul(X,vplus(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[18,9]) ).
cnf(77,plain,
less(vmul(X,vd480),vmul(X,vd481)),
inference('PARAMODULATE',[status(thm)],[40,39,theory(equality)]) ).
cnf(78,plain,
$false,
inference('REWRITE',[status(thm)],[27,77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 20:50:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T20:50:13
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-05T20:50:13
% 0.18/0.47
% 0.18/0.48 ; Recognized associativity assertion (= (|vmul| (|vmul| ?X ?Y) ?Z) (|vmul| ?X (|vmul| ?Y ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.18/0.48 ; Declaring vmul to be commutative.
% 0.18/0.52 ; Declaring vmul to be associative-commutative.
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.53 ||#
% 0.18/0.53
% 0.18/0.53 ; Summary of computation:
% 0.18/0.53 ; 357 formulas have been input or derived (from 41 formulas).
% 0.18/0.53 ; 78 (22%) were retained. Of these,
% 0.18/0.53 ; 4 ( 5%) were simplified or subsumed later,
% 0.18/0.53 ; 74 (95%) are still being kept.
% 0.18/0.53 ;
% 0.18/0.53 ; Run time in seconds excluding printing time:
% 0.18/0.53 ; 0.004 6% Read assertion file (1 call)
% 0.18/0.53 ; 0.001 2% Assert (20 calls)
% 0.18/0.53 ; 0.005 8% Process new row (304 calls)
% 0.18/0.53 ; 0.008 13% Resolution (80 calls)
% 0.18/0.53 ; 0.005 8% Paramodulation (40 calls)
% 0.18/0.53 ; 0.000 0% Factoring (2 calls)
% 0.18/0.53 ; 0.000 0% Embedding (9 calls)
% 0.18/0.53 ; 0.002 3% Condensing (41 calls)
% 0.18/0.53 ; 0.001 2% Forward subsumption (41 calls)
% 0.18/0.53 ; 0.000 0% Backward subsumption (28 calls)
% 0.18/0.53 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.18/0.53 ; 0.006 10% Forward simplification (302 calls)
% 0.18/0.53 ; 0.002 3% Backward simplification (76 calls)
% 0.18/0.53 ; 0.000 0% Ordering (173 calls)
% 0.18/0.53 ; 0.002 3% Ordering ac (36 calls)
% 0.18/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.53 ; 0.000 0% Purity testing (1 call)
% 0.18/0.53 ; 0.027 43% Other
% 0.18/0.53 ; 0.063 Total
% 0.18/0.53 ; 0.066 Real time
% 0.18/0.53 ;
% 0.18/0.53 ; Term-hash-array has 156 terms in all.
% 0.18/0.53 ; Feature-vector-row-index has 25 entries (25 at peak, 28 added, 3 deleted).
% 0.18/0.53 ; Feature-vector-row-index has 95 nodes (95 at peak, 128 added, 33 deleted).
% 0.18/0.53 ; Retrieved 13 possibly forward subsuming rows in 41 calls.
% 0.18/0.53 ; Retrieved 1 possibly backward subsumed row in 28 calls.
% 0.18/0.53 ; Path-index has 153 entries (154 at peak, 159 added, 6 deleted).
% 0.18/0.53 ; Path-index has 356 nodes (358 at peak, 376 added, 20 deleted).
% 0.18/0.53 ; Trie-index has 153 entries (154 at peak, 159 added, 6 deleted).
% 0.18/0.53 ; Trie-index has 207 nodes (207 at peak, 211 added, 4 deleted).
% 0.18/0.53 ; Retrieved 1,638 generalization terms in 846 calls.
% 0.18/0.53 ; Retrieved 115 instance terms in 51 calls.
% 0.18/0.53 ; Retrieved 1,730 unifiable terms in 392 calls.
% 0.18/0.53 ;
% 0.18/0.53 ; The agenda of rows to process has 9 entries:
% 0.18/0.53 ; 4 with value 14 1 with value 18 3 with value 26
% 0.18/0.53 ; 1 with value 17
% 0.18/0.53 ; The agenda of rows to give has 34 entries:
% 0.18/0.53 ; 1 with value (4 11) 5 with value (4 17) 5 with value (4 20)
% 0.18/0.53 ; 4 with value (4 13) 2 with value (4 18) 4 with value (4 24)
% 0.18/0.53 ; 5 with value (4 14) 2 with value (4 19) 1 with value (4 25)
% 0.18/0.53 ; 5 with value (4 15)
% 0.18/0.53 Evaluation took:
% 0.18/0.53 0.066 seconds of real time
% 0.18/0.53 0.05882 seconds of user run time
% 0.18/0.53 0.007131 seconds of system run time
% 0.18/0.53 0 calls to %EVAL
% 0.18/0.53 0 page faults and
% 0.18/0.53 3,467,688 bytes consed.
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T20:50:13
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 *
%------------------------------------------------------------------------------