TSTP Solution File: NUM846+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 0.38s 0.56s
% Output : Refutation 0.38s
% 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(13,axiom,
vmul(X,vsucc(Y)) = vplus(vmul(X,Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
cnf(14,plain,
vplus(vmul(X,Y),vplus(X,Z)) = vplus(vmul(X,vsucc(Y)),Z),
inference('EMBED',[status(thm)],[13]) ).
cnf(22,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference('REWRITE',[status(thm)],[1,13,2,theory(equality)]) ).
cnf(35,plain,
vplus(vmul(X,vsucc(Y)),vmul(X,Z)) = vplus(vmul(X,vsucc(Z)),vmul(X,Y)),
inference('PARAMODULATE',[status(thm)],[14,14,theory(equality)]) ).
cnf(37,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vmul(vd436,vsucc(vd437)),vmul(vd436,vd439)),
inference('REWRITE',[status(thm)],[22,35,theory(equality)]) ).
cnf(53,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,6,theory(equality)]),37,35,13,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 14:17:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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 2022-07-05T14:17:28
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-05T14:17:28
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.19/0.48 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.19/0.48 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.19/0.48 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.48 ; Declaring vplus to be commutative.
% 0.19/0.48 ; Declaring vplus to be associative-commutative.
% 0.19/0.48 WARNING:
% 0.19/0.48 |greater| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |less| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |leq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |geq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.56 ; Declaring vmul to be commutative.
% 0.38/0.56
% 0.38/0.56 #||
% 0.38/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.56 % SZS output start Refutation
% See solution above
% 0.38/0.56 ||#
% 0.38/0.56
% 0.38/0.56 ; Summary of computation:
% 0.38/0.56 ; 215 formulas have been input or derived (from 13 formulas).
% 0.38/0.56 ; 53 (25%) were retained. Of these,
% 0.38/0.56 ; 10 (19%) were simplified or subsumed later,
% 0.38/0.56 ; 43 (81%) are still being kept.
% 0.38/0.56 ;
% 0.38/0.56 ; Run time in seconds excluding printing time:
% 0.38/0.56 ; 0.004 4% Read assertion file (1 call)
% 0.38/0.56 ; 0.001 1% Assert (21 calls)
% 0.38/0.56 ; 0.006 7% Process new row (188 calls)
% 0.38/0.56 ; 0.000 0% Resolution (24 calls)
% 0.38/0.56 ; 0.006 7% Paramodulation (12 calls)
% 0.38/0.56 ; 0.000 0% Factoring (1 call)
% 0.38/0.56 ; 0.000 0% Embedding (19 calls)
% 0.38/0.56 ; 0.001 1% Condensing (8 calls)
% 0.38/0.56 ; 0.000 0% Forward subsumption (8 calls)
% 0.38/0.56 ; 0.000 0% Backward subsumption (6 calls)
% 0.38/0.56 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.38/0.56 ; 0.021 24% Forward simplification (167 calls)
% 0.38/0.56 ; 0.007 8% Backward simplification (35 calls)
% 0.38/0.56 ; 0.001 1% Ordering (192 calls)
% 0.38/0.56 ; 0.020 22% Ordering ac (135 calls)
% 0.38/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.56 ; 0.000 0% Purity testing (1 call)
% 0.38/0.56 ; 0.022 25% Other
% 0.38/0.56 ; 0.089 Total
% 0.38/0.56 ; 0.090 Real time
% 0.38/0.56 ;
% 0.38/0.56 ; Term-hash-array has 195 terms in all.
% 0.38/0.56 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.38/0.56 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.38/0.56 ; Retrieved 2 possibly forward subsuming rows in 8 calls.
% 0.38/0.56 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.38/0.56 ; Path-index has 172 entries (172 at peak, 210 added, 38 deleted).
% 0.38/0.56 ; Path-index has 150 nodes (150 at peak, 193 added, 43 deleted).
% 0.38/0.56 ; Trie-index has 172 entries (172 at peak, 210 added, 38 deleted).
% 0.38/0.56 ; Trie-index has 105 nodes (105 at peak, 133 added, 28 deleted).
% 0.38/0.56 ; Retrieved 4,839 generalization terms in 1,534 calls.
% 0.38/0.56 ; Retrieved 127 instance terms in 34 calls.
% 0.38/0.56 ; Retrieved 336 unifiable terms in 62 calls.
% 0.38/0.56 ;
% 0.38/0.56 ; The agenda of rows to process has 24 entries:
% 0.38/0.56 ; 6 with value 21 2 with value 27 1 with value 32
% 0.38/0.56 ; 1 with value 24 2 with value 28 2 with value 34
% 0.38/0.56 ; 4 with value 25 3 with value 29 1 with value 38
% 0.38/0.56 ; 2 with value 26
% 0.38/0.56 ; The agenda of input rows to give has 1 entry:
% 0.38/0.56 ; 1 with value 19
% 0.38/0.56 ; The agenda of rows to give has 29 entries:
% 0.38/0.56 ; 1 with value (4 11) 2 with value (4 21) 2 with value (4 28)
% 0.38/0.56 ; 3 with value (4 12) 2 with value (4 22) 2 with value (4 31)
% 0.38/0.56 ; 1 with value (4 15) 1 with value (4 23) 2 with value (4 34)
% 0.38/0.56 ; 1 with value (4 17) 2 with value (4 24) 2 with value (4 36)
% 0.38/0.56 ; 3 with value (4 18) 2 with value (4 27) 2 with value (4 42)
% 0.38/0.56 ; 1 with value (4 19)
% 0.38/0.56 Evaluation took:
% 0.38/0.56 0.091 seconds of real time
% 0.38/0.56 0.088327 seconds of user run time
% 0.38/0.56 0.002823 seconds of system run time
% 0.38/0.56 0 calls to %EVAL
% 0.38/0.56 0 page faults and
% 0.38/0.56 4,786,728 bytes consed.
% 0.38/0.56 :PROOF-FOUND
% 0.38/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T14:17:28
% 0.38/0.56 :PROOF-FOUND
% 0.38/0.56 *
%------------------------------------------------------------------------------