TSTP Solution File: NUM853+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:14:42 EDT 2022
% Result : Theorem 13.10s 13.29s
% Output : Refutation 13.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 27 ( 7 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
cnf(2,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
cnf(4,axiom,
( X != Y
| vmul(X,Z) = vmul(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 1)') ).
cnf(5,axiom,
( ~ greater(X,Y)
| greater(vmul(X,Z),vmul(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
cnf(14,axiom,
( ~ less(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
cnf(15,axiom,
( ~ greater(X,Y)
| less(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
cnf(16,axiom,
( X = Y
| greater(X,Y)
| less(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
cnf(18,axiom,
( ~ greater(X,Y)
| ~ less(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
cnf(19,axiom,
( X != Y
| ~ greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
cnf(37,plain,
~ less(vd488,vd486),
inference('UR-RESOLVE',[status(thm)],[14,1]) ).
cnf(43,plain,
less(vmul(vd488,vd487),vmul(vd486,vd487)),
inference('HYPERRESOLVE',[status(thm)],[15,2]) ).
cnf(44,plain,
vmul(vd486,vd487) != vmul(vd488,vd487),
inference('UR-RESOLVE',[status(thm)],[19,2]) ).
cnf(404,plain,
( vd488 = vd486
| greater(vd488,vd486) ),
inference('HYPERRESOLVE',[status(thm)],[37,16]) ).
cnf(562,plain,
~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
inference('UR-RESOLVE',[status(thm)],[18,43]) ).
cnf(566,plain,
vd488 != vd486,
inference('UR-RESOLVE',[status(thm)],[4,44]) ).
cnf(567,plain,
greater(vd488,vd486),
inference('REWRITE',[status(thm)],[404,566]) ).
cnf(578,plain,
greater(vmul(vd488,X),vmul(vd486,X)),
inference('HYPERRESOLVE',[status(thm)],[5,567]) ).
cnf(579,plain,
$false,
inference('REWRITE',[status(thm)],[562,578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n006.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 : Thu Jul 7 18:39:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /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 2022-07-07T18:39:06
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-07T18:39:06
% 0.18/0.48
% 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 ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 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 vmul to be commutative.
% 0.18/0.48 ; Declaring vmul to be associative-commutative.
% 0.18/0.48 ; Declaring vplus to be commutative.
% 0.18/0.48 WARNING:
% 0.18/0.48 |leq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 13.10/13.29 ; Declaring vplus to be associative-commutative.
% 13.10/13.29
% 13.10/13.29 #||
% 13.10/13.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.10/13.29 % SZS output start Refutation
% See solution above
% 13.10/13.29 ||#
% 13.10/13.29
% 13.10/13.29 ; Summary of computation:
% 13.10/13.29 ; 4730 formulas have been input or derived (from 67 formulas).
% 13.10/13.29 ; 579 (12%) were retained. Of these,
% 13.10/13.29 ; 8 ( 1%) were simplified or subsumed later,
% 13.10/13.29 ; 571 (99%) are still being kept.
% 13.10/13.29 ;
% 13.10/13.29 ; Run time in seconds excluding printing time:
% 13.10/13.29 ; 0.007 0% Read assertion file (1 call)
% 13.10/13.29 ; 0.002 0% Assert (37 calls)
% 13.10/13.29 ; 0.056 0% Process new row (4,602 calls)
% 13.10/13.29 ; 9.509 74% Resolution (132 calls)
% 13.10/13.29 ; 0.024 0% Paramodulation (66 calls)
% 13.10/13.29 ; 0.000 0% Factoring (3 calls)
% 13.10/13.29 ; 0.003 0% Embedding (66 calls)
% 13.10/13.29 ; 0.084 1% Condensing (745 calls)
% 13.10/13.29 ; 0.017 0% Forward subsumption (745 calls)
% 13.10/13.29 ; 0.000 0% Backward subsumption (233 calls)
% 13.10/13.29 ; 0.085 1% Clause clause subsumption (1,412 calls)
% 13.10/13.29 ; 0.671 5% Forward simplification (4,544 calls)
% 13.10/13.29 ; 0.011 0% Backward simplification (522 calls)
% 13.10/13.29 ; 0.001 0% Ordering (1,100 calls)
% 13.10/13.29 ; 2.302 18% Ordering ac (602 calls)
% 13.10/13.29 ; 0.001 0% Sortal reasoning (32 calls)
% 13.10/13.29 ; 0.001 0% Purity testing (1 call)
% 13.10/13.29 ; 0.031 0% Other
% 13.10/13.29 ; 12.805 Total
% 13.10/13.29 ; 12.825 Real time
% 13.10/13.29 ;
% 13.10/13.29 ; Term-hash-array has 1,177 terms in all.
% 13.10/13.29 ; Feature-vector-row-index has 230 entries (232 at peak, 233 added, 3 deleted).
% 13.10/13.29 ; Feature-vector-row-index has 1,038 nodes (1,055 at peak, 1,059 added, 21 deleted).
% 13.10/13.29 ; Retrieved 2,682 possibly forward subsuming rows in 745 calls.
% 13.10/13.29 ; Retrieved 102 possibly backward subsumed rows in 233 calls.
% 13.10/13.29 ; Path-index has 1,168 entries (1,169 at peak, 1,186 added, 18 deleted).
% 13.10/13.29 ; Path-index has 876 nodes (876 at peak, 887 added, 11 deleted).
% 13.10/13.29 ; Trie-index has 1,168 entries (1,169 at peak, 1,186 added, 18 deleted).
% 13.10/13.29 ; Trie-index has 394 nodes (394 at peak, 411 added, 17 deleted).
% 13.10/13.29 ; Retrieved 746,241 generalization terms in 43,993 calls.
% 13.10/13.29 ; Retrieved 1,218 instance terms in 307 calls.
% 13.10/13.29 ; Retrieved 58,120 unifiable terms in 1,826 calls.
% 13.10/13.29 ;
% 13.10/13.29 ; The agenda of rows to process has 1 entry:
% 13.10/13.29 ; 1 with value 13
% 13.10/13.29 ; The agenda of rows to give has 504 entries:
% 13.10/13.29 ; 1 with value (4 7) 18 with value (4 21) 15 with value (4 36)
% 13.10/13.29 ; 1 with value (4 9) 20 with value (4 22) 5 with value (4 37)
% 13.10/13.29 ; 15 with value (4 10) 22 with value (4 23) 3 with value (4 38)
% 13.10/13.29 ; 21 with value (4 11) 19 with value (4 24) 6 with value (4 40)
% 13.10/13.29 ; 24 with value (4 12) 15 with value (4 25) 4 with value (4 42)
% 13.10/13.29 ; 23 with value (4 13) 19 with value (4 26) 2 with value (4 43)
% 13.10/13.29 ; 26 with value (4 14) 9 with value (4 27) 3 with value (4 44)
% 13.10/13.29 ; 18 with value (4 15) 20 with value (4 28) 1 with value (4 45)
% 13.10/13.29 ; 21 with value (4 16) 9 with value (4 29) 3 with value (4 48)
% 13.10/13.29 ; 32 with value (4 17) 9 with value (4 30) 2 with value (4 51)
% 13.10/13.29 ; 27 with value (4 18) 6 with value (4 31) 2 with value (4 61)
% 13.10/13.29 ; 28 with value (4 19) 17 with value (4 32) 2 with value (4 67)
% 13.10/13.29 ; 25 with value (4 20) 11 with value (4 34)
% 13.10/13.29 Evaluation took:
% 13.10/13.29 12.826 seconds of real time
% 13.10/13.29 12.723468 seconds of user run time
% 13.10/13.29 0.083356 seconds of system run time
% 13.10/13.29 [Run times include 0.274 seconds GC run time.]
% 13.10/13.29 0 calls to %EVAL
% 13.10/13.29 0 page faults and
% 13.10/13.29 1,153,808,968 bytes consed.
% 13.10/13.29 :PROOF-FOUND
% 13.10/13.29 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T18:39:19
% 13.10/13.29 :PROOF-FOUND
% 13.10/13.29 *
%------------------------------------------------------------------------------