%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM845+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 14:14:36 EDT 2022
% Result : Theorem 0.77s 0.96s
% Output : Refutation 0.77s
% 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),'SKOLEMAAAL1') = vplus(vmul(vd411,'SKOLEMAAAL1'),'SKOLEMAAAL1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
cnf(2,plain,
vplus(vmul(vd411,'SKOLEMAAAL1'),vplus('SKOLEMAAAL1',X)) = vplus(vmul(vsucc(vd411),'SKOLEMAAAL1'),X),
inference('EMBED',[status(thm)],[1]) ).
cnf(3,negated_conjecture,
vmul(vsucc(vd411),vsucc('SKOLEMAAAL1')) != vplus(vmul(vd411,vsucc('SKOLEMAAAL1')),vsucc('SKOLEMAAAL1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
cnf(14,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(15,plain,
vplus(vmul(X,Y),vplus(X,Z)) = vplus(vmul(X,vsucc(Y)),Z),
inference('EMBED',[status(thm)],[14]) ).
cnf(56,axiom,
vplus(vsucc(X),Y) = vsucc(vplus(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
cnf(66,plain,
vmul(vsucc(vd411),vsucc('SKOLEMAAAL1')) != vsucc(vplus('SKOLEMAAAL1',vmul(vd411,vsucc('SKOLEMAAAL1')))),
inference('REWRITE',[status(thm)],[3,56,theory(equality)]) ).
cnf(188,plain,
vmul(vsucc(X),vsucc(Y)) = vsucc(vplus(X,vmul(vsucc(X),Y))),
inference('PARAMODULATE',[status(thm)],[56,14,theory(equality)]) ).
cnf(216,plain,
vplus('SKOLEMAAAL1',vmul(vd411,vsucc('SKOLEMAAAL1'))) = vplus(vmul(vsucc(vd411),'SKOLEMAAAL1'),vd411),
inference('PARAMODULATE',[status(thm)],[2,15,theory(equality)]) ).
cnf(218,plain,
$false,
inference('REWRITE',[status(thm)],[66,188,216,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : NUM845+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.07 % Command : run-snark %s %d
% 0.07/0.25 % Computer : n009.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 600
% 0.07/0.25 % DateTime : Tue Jul 5 07:30:07 EDT 2022
% 0.07/0.25 % CPUTime :
% 0.09/0.32 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.32 *
% 0.09/0.32 *
% 0.09/0.33 #<PACKAGE "SNARK-USER">
% 0.09/0.33 *
% 0.09/0.33 SNARK-TPTP-OPTIONS
% 0.09/0.33 *
% 0.09/0.33 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.09/0.33 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.09/0.33 (USE-FACTORING :POS)
% 0.09/0.33 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.09/0.33 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.09/0.33 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.09/0.33 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.09/0.33 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.09/0.33 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.09/0.33 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.09/0.33 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.09/0.33 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.09/0.33 (DECLARE-TPTP-SYMBOLS2))
% 0.09/0.33 *
% 0.09/0.33 "."
% 0.09/0.33 *
% 0.09/0.33 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T07:30:07
% 0.09/0.33 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-05T07:30:07
% 0.09/0.34
% 0.09/0.34 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.09/0.34 ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.09/0.34 ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.09/0.34 ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.09/0.34 ; Declaring vplus to be commutative.
% 0.77/0.96 ; Declaring vplus to be associative-commutative.
% 0.77/0.96
% 0.77/0.96 #||
% 0.77/0.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96 % SZS output start Refutation
% See solution above
% 0.77/0.96 ||#
% 0.77/0.96
% 0.77/0.96 ; Summary of computation:
% 0.77/0.96 ; 1554 formulas have been input or derived (from 41 formulas).
% 0.77/0.96 ; 218 (14%) were retained. Of these,
% 0.77/0.96 ; 14 ( 6%) were simplified or subsumed later,
% 0.77/0.96 ; 204 (94%) are still being kept.
% 0.77/0.96 ;
% 0.77/0.96 ; Run time in seconds excluding printing time:
% 0.77/0.96 ; 0.006 1% Read assertion file (1 call)
% 0.77/0.96 ; 0.001 0% Assert (58 calls)
% 0.77/0.96 ; 0.007 1% Process new row (1,333 calls)
% 0.77/0.96 ; 0.526 83% Resolution (80 calls)
% 0.77/0.96 ; 0.004 1% Paramodulation (40 calls)
% 0.77/0.96 ; 0.000 0% Factoring (2 calls)
% 0.77/0.96 ; 0.000 0% Embedding (7 calls)
% 0.77/0.96 ; 0.025 4% Condensing (243 calls)
% 0.77/0.96 ; 0.006 1% Forward subsumption (243 calls)
% 0.77/0.96 ; 0.000 0% Backward subsumption (112 calls)
% 0.77/0.96 ; 0.010 2% Clause clause subsumption (240 calls)
% 0.77/0.96 ; 0.028 4% Forward simplification (1,326 calls)
% 0.77/0.96 ; 0.002 0% Backward simplification (211 calls)
% 0.77/0.96 ; 0.001 0% Ordering (192 calls)
% 0.77/0.96 ; 0.000 0% Ordering ac (75 calls)
% 0.77/0.96 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.96 ; 0.000 0% Purity testing (1 call)
% 0.77/0.96 ; 0.015 2% Other
% 0.77/0.96 ; 0.631 Total
% 0.77/0.96 ; 0.632 Real time
% 0.77/0.96 ;
% 0.77/0.96 ; Term-hash-array has 318 terms in all.
% 0.77/0.96 ; Feature-vector-row-index has 105 entries (105 at peak, 112 added, 7 deleted).
% 0.77/0.96 ; Feature-vector-row-index has 444 nodes (444 at peak, 539 added, 95 deleted).
% 0.77/0.96 ; Retrieved 378 possibly forward subsuming rows in 243 calls.
% 0.77/0.96 ; Retrieved 39 possibly backward subsumed rows in 112 calls.
% 0.77/0.96 ; Path-index has 289 entries (289 at peak, 331 added, 42 deleted).
% 0.77/0.96 ; Path-index has 371 nodes (376 at peak, 413 added, 42 deleted).
% 0.77/0.96 ; Trie-index has 289 entries (289 at peak, 331 added, 42 deleted).
% 0.77/0.96 ; Trie-index has 297 nodes (301 at peak, 342 added, 45 deleted).
% 0.77/0.96 ; Retrieved 13,041 generalization terms in 7,892 calls.
% 0.77/0.96 ; Retrieved 253 instance terms in 98 calls.
% 0.77/0.96 ; Retrieved 9,543 unifiable terms in 845 calls.
% 0.77/0.96 ;
% 0.77/0.96 ; The agenda of rows to process has 200 entries:
% 0.77/0.96 ; 6 with value 18 19 with value 25 4 with value 32
% 0.77/0.96 ; 42 with value 19 5 with value 26 2 with value 33
% 0.77/0.96 ; 6 with value 20 5 with value 27 1 with value 34
% 0.77/0.96 ; 38 with value 21 7 with value 28 1 with value 35
% 0.77/0.96 ; 14 with value 22 3 with value 29 2 with value 36
% 0.77/0.96 ; 20 with value 23 6 with value 30 3 with value 37
% 0.77/0.96 ; 9 with value 24 5 with value 31 2 with value 42
% 0.77/0.96 ; The agenda of input rows to give has 14 entries:
% 0.77/0.96 ; 6 with value 13 3 with value 17 1 with value 31
% 0.77/0.96 ; 3 with value 14 1 with value 24
% 0.77/0.96 ; The agenda of rows to give has 149 entries:
% 0.77/0.96 ; 5 with value (4 5) 12 with value (4 13) 9 with value (4 19)
% 0.77/0.96 ; 4 with value (4 7) 9 with value (4 14) 6 with value (4 20)
% 0.77/0.96 ; 3 with value (4 8) 16 with value (4 15) 1 with value (4 21)
% 0.77/0.96 ; 3 with value (4 9) 6 with value (4 16) 3 with value (4 22)
% 0.77/0.96 ; 10 with value (4 10) 29 with value (4 17) 3 with value (4 23)
% 0.77/0.96 ; 10 with value (4 11) 3 with value (4 18) 6 with value (4 25)
% 0.77/0.96 ; 11 with value (4 12)
% 0.77/0.96 Evaluation took:
% 0.77/0.96 0.633 seconds of real time
% 0.77/0.96 0.624496 seconds of user run time
% 0.77/0.96 0.008279 seconds of system run time
% 0.77/0.96 [Run times include 0.013 seconds GC run time.]
% 0.77/0.96 0 calls to %EVAL
% 0.77/0.96 0 page faults and
% 0.77/0.96 65,237,200 bytes consed.
% 0.77/0.96 :PROOF-FOUND
% 0.77/0.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T07:30:07
% 0.77/0.96 :PROOF-FOUND
% 0.77/0.96 *
%------------------------------------------------------------------------------