TSTP Solution File: NUM845+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 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 14:14:37 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 9 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vmul(vsucc(vd411),'SKOLEMAAAV1') = vplus(vmul(vd411,'SKOLEMAAAV1'),'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
cnf(2,plain,
vplus(vmul(vd411,'SKOLEMAAAV1'),vplus('SKOLEMAAAV1',X)) = vplus(vmul(vsucc(vd411),'SKOLEMAAAV1'),X),
inference('EMBED',[status(thm)],[1]) ).
cnf(3,negated_conjecture,
vmul(vsucc(vd411),vsucc('SKOLEMAAAV1')) != vplus(vmul(vd411,vsucc('SKOLEMAAAV1')),vsucc('SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
cnf(11,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(12,plain,
vplus(vmul(X,Y),vplus(X,Z)) = vplus(vmul(X,vsucc(Y)),Z),
inference('EMBED',[status(thm)],[11]) ).
cnf(16,axiom,
vplus(X,vsucc(Y)) = vsucc(vplus(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
cnf(18,plain,
vmul(vsucc(vd411),vsucc('SKOLEMAAAV1')) != vsucc(vplus(vmul(vd411,vsucc('SKOLEMAAAV1')),'SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[3,16,theory(equality)]) ).
cnf(23,plain,
vmul(vsucc(X),vsucc(Y)) = vsucc(vplus(vmul(vsucc(X),Y),X)),
inference('PARAMODULATE',[status(thm)],[16,11,theory(equality)]) ).
cnf(24,plain,
vplus(vmul(vd411,vsucc('SKOLEMAAAV1')),'SKOLEMAAAV1') = vplus(vmul(vsucc(vd411),'SKOLEMAAAV1'),vd411),
inference('PARAMODULATE',[status(thm)],[2,12,theory(equality)]) ).
cnf(26,plain,
$false,
inference('REWRITE',[status(thm)],[18,23,24,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.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 : Thu Jul 7 03:19:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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 2022-07-07T03:19:46
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-07T03:19:46
% 0.18/0.48
% 0.18/0.48 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.18/0.48 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.18/0.48 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.18/0.48 ; Declaring vplus to be commutative.
% 0.18/0.51 ; Declaring vplus to be associative-commutative.
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 180 formulas have been input or derived (from 10 formulas).
% 0.18/0.51 ; 26 (14%) were retained. Of these,
% 0.18/0.51 ; 9 (35%) were simplified or subsumed later,
% 0.18/0.51 ; 17 (65%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.005 10% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (15 calls)
% 0.18/0.51 ; 0.004 8% Process new row (120 calls)
% 0.18/0.51 ; 0.001 2% Resolution (18 calls)
% 0.18/0.51 ; 0.006 12% Paramodulation (9 calls)
% 0.18/0.51 ; 0.000 0% Embedding (7 calls)
% 0.18/0.51 ; 0.001 2% Condensing (6 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (6 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (6 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (1 call)
% 0.18/0.51 ; 0.006 12% Forward simplification (113 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (19 calls)
% 0.18/0.51 ; 0.000 0% Ordering (109 calls)
% 0.18/0.51 ; 0.001 2% Ordering ac (68 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.021 44% Other
% 0.18/0.51 ; 0.048 Total
% 0.18/0.51 ; 0.050 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 88 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 1 entry (5 at peak, 6 added, 5 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 23 nodes (92 at peak, 114 added, 91 deleted).
% 0.18/0.51 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.18/0.51 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.18/0.51 ; Path-index has 67 entries (67 at peak, 101 added, 34 deleted).
% 0.18/0.51 ; Path-index has 126 nodes (131 at peak, 164 added, 38 deleted).
% 0.18/0.51 ; Trie-index has 67 entries (67 at peak, 101 added, 34 deleted).
% 0.18/0.51 ; Trie-index has 78 nodes (82 at peak, 107 added, 29 deleted).
% 0.18/0.51 ; Retrieved 1,531 generalization terms in 858 calls.
% 0.18/0.51 ; Retrieved 43 instance terms in 12 calls.
% 0.18/0.51 ; Retrieved 158 unifiable terms in 43 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 60 entries:
% 0.18/0.51 ; 6 with value 18 2 with value 27 2 with value 33
% 0.18/0.51 ; 2 with value 21 4 with value 28 1 with value 34
% 0.18/0.51 ; 8 with value 22 3 with value 29 1 with value 35
% 0.18/0.51 ; 2 with value 23 3 with value 30 2 with value 36
% 0.18/0.51 ; 6 with value 24 5 with value 31 1 with value 37
% 0.18/0.51 ; 4 with value 25 1 with value 32 2 with value 42
% 0.18/0.51 ; 5 with value 26
% 0.18/0.51 ; The agenda of input rows to give has 1 entry:
% 0.18/0.51 ; 1 with value 31
% 0.18/0.51 ; The agenda of rows to give has 6 entries:
% 0.18/0.51 ; 2 with value (4 12) 2 with value (4 18) 1 with value (4 19)
% 0.18/0.51 ; 1 with value (4 13)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.051 seconds of real time
% 0.18/0.51 0.04375 seconds of user run time
% 0.18/0.51 0.00704 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,107,392 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T03:19:47
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------