TSTP Solution File: SYN673-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN673-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Thu Jul 21 12:02:27 EDT 2022
% Result : Unsatisfiable 1.91s 2.11s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 14 unt; 2 nHn; 21 RR)
% Number of literals : 40 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
cnf(p4_5,negated_conjecture,
p4(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p16_12,negated_conjecture,
p16(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_12) ).
cnf(not_p29_17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p29_17) ).
cnf(p29_18,negated_conjecture,
( p29(X,Y)
| ~ p27(f12(c32,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_18) ).
cnf(p27_19,negated_conjecture,
( p27(f12(c32,X),Y)
| ~ p29(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_19) ).
cnf(p28_20,negated_conjecture,
( p28(f21(c30,X),c31)
| ~ p16(X,c40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_20) ).
cnf(p10_22,negated_conjecture,
( p10(X,Y)
| ~ p10(Z,X)
| ~ p10(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_22) ).
cnf(p28_37,negated_conjecture,
( p28(f21(c30,X),c31)
| ~ p29(f24(c42,X),c39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_37) ).
cnf(p29_38,negated_conjecture,
( p29(X,Y)
| ~ p29(Z,U)
| ~ p4(Z,X)
| ~ p10(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_38) ).
cnf(p10_41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_41) ).
cnf(p29_52,negated_conjecture,
( p29(f24(c42,f26(c43,X)),c39)
| p29(f5(c33,f8(c34,c30)),X)
| ~ p10(X,f14(f19(c35,c37),c39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_52) ).
cnf(p29_53,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X)
| ~ p10(X,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X)),c31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_53) ).
cnf(p27_55,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X),f17(c36,Y))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,Y),c31)
| ~ p27(f12(c32,X),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_55) ).
cnf(57,plain,
p28(f21(c30,c40),c31),
inference('HYPERRESOLVE',[status(thm)],[p28_20,p16_12]) ).
cnf(66,plain,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference('HYPERRESOLVE',[status(thm)],[p10_22,p10_41,p10_1]) ).
cnf(72,plain,
( p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39)
| p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
inference('HYPERRESOLVE',[status(thm)],[p29_52,p10_1]) ).
cnf(227,plain,
~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
inference('UR-RESOLVE',[status(thm)],[p29_38,66,not_p29_17,p4_5]) ).
cnf(1263,plain,
~ p27(f12(c32,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),f5(c33,f8(c34,c30))),
inference('UR-RESOLVE',[status(thm)],[p29_18,227]) ).
cnf(4736,plain,
~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30))),
inference('UR-RESOLVE',[status(thm)],[p27_55,1263,57]) ).
cnf(4744,plain,
~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)),
inference('UR-RESOLVE',[status(thm)],[p27_19,4736]) ).
cnf(4745,plain,
p29(f24(c42,f26(c43,f14(f19(c35,c37),c39))),c39),
inference('REWRITE',[status(thm)],[72,4744]) ).
cnf(4757,plain,
p28(f21(c30,f26(c43,f14(f19(c35,c37),c39))),c31),
inference('HYPERRESOLVE',[status(thm)],[p28_37,4745]) ).
cnf(4778,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p29_53,4757,p10_1]),4744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN673-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 20:27:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:27:04
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T20:27:04
% 1.91/2.11
% 1.91/2.11
% 1.91/2.11 #||
% 1.91/2.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/2.11 % SZS output start Refutation
% See solution above
% 1.91/2.11 ||#
% 1.91/2.11
% 1.91/2.11 ; Summary of computation:
% 1.91/2.11 ; 15457 formulas have been input or derived (from 385 formulas).
% 1.91/2.11 ; 4778 (31%) were retained. Of these,
% 1.91/2.11 ; 35 ( 1%) were simplified or subsumed later,
% 1.91/2.11 ; 4743 (99%) are still being kept.
% 1.91/2.11 ;
% 1.91/2.11 ; Run time in seconds excluding printing time:
% 1.91/2.11 ; 0.010 1% Read assertion file (1 call)
% 1.91/2.11 ; 0.002 0% Assert (55 calls)
% 1.91/2.11 ; 0.590 37% Process new row (14,801 calls)
% 1.91/2.11 ; 0.506 32% Resolution (768 calls)
% 1.91/2.11 ; 0.030 2% Paramodulation (384 calls)
% 1.91/2.11 ; 0.002 0% Condensing (52 calls)
% 1.91/2.11 ; 0.005 0% Forward subsumption (52 calls)
% 1.91/2.11 ; 0.004 0% Backward subsumption (52 calls)
% 1.91/2.11 ; 0.000 0% Clause clause subsumption (76 calls)
% 1.91/2.11 ; 0.283 18% Forward simplification (14,801 calls)
% 1.91/2.11 ; 0.094 6% Backward simplification (4,778 calls)
% 1.91/2.11 ; 0.001 0% Ordering (32 calls)
% 1.91/2.11 ; 0.000 0% Sortal reasoning (32 calls)
% 1.91/2.11 ; 0.001 0% Purity testing (1 call)
% 1.91/2.11 ; 0.075 5% Other
% 1.91/2.11 ; 1.603 Total
% 1.91/2.11 ; 1.605 Real time
% 1.91/2.11 ;
% 1.91/2.11 ; Term-hash-array has 7,511 terms in all.
% 1.91/2.11 ; Feature-vector-row-index has 50 entries (52 at peak, 52 added, 2 deleted).
% 1.91/2.11 ; Feature-vector-row-index has 552 nodes (600 at peak, 600 added, 48 deleted).
% 1.91/2.11 ; Retrieved 67 possibly forward subsuming rows in 52 calls.
% 1.91/2.11 ; Retrieved 20 possibly backward subsumed rows in 52 calls.
% 1.91/2.11 ; Path-index has 7,491 entries (7,491 at peak, 7,528 added, 37 deleted).
% 1.91/2.11 ; Path-index has 7,228 nodes (7,228 at peak, 7,228 added, 0 deleted).
% 1.91/2.11 ; Trie-index has 7,491 entries (7,491 at peak, 7,528 added, 37 deleted).
% 1.91/2.11 ; Trie-index has 50,858 nodes (50,858 at peak, 51,067 added, 209 deleted).
% 1.91/2.11 ; Retrieved 35,299 generalization terms in 14,861 calls.
% 1.91/2.11 ; Retrieved 5,072 instance terms in 4,725 calls.
% 1.91/2.11 ; Retrieved 221,113 unifiable terms in 11,492 calls.
% 1.91/2.11 ;
% 1.91/2.11 ; The agenda of rows to process has 8 entries:
% 1.91/2.11 ; 1 with value 19 1 with value 36 1 with value 42
% 1.91/2.11 ; 1 with value 26 1 with value 37 1 with value 43
% 1.91/2.11 ; 1 with value 31 1 with value 41
% 1.91/2.11 ; The agenda of rows to give has 4358 entries:
% 1.91/2.11 ; 1 with value (4 19) 173 with value (4 36) 97 with value (4 50)
% 1.91/2.11 ; 2 with value (4 20) 226 with value (4 37) 56 with value (4 51)
% 1.91/2.11 ; 1 with value (4 22) 247 with value (4 38) 1 with value (4 53)
% 1.91/2.11 ; 1 with value (4 24) 321 with value (4 39) 1 with value (4 54)
% 1.91/2.11 ; 2 with value (4 26) 244 with value (4 40) 2 with value (4 55)
% 1.91/2.11 ; 2 with value (4 27) 301 with value (4 41) 1 with value (4 56)
% 1.91/2.11 ; 25 with value (4 28) 275 with value (4 42) 1 with value (4 57)
% 1.91/2.11 ; 106 with value (4 29) 255 with value (4 43) 1 with value (4 63)
% 1.91/2.11 ; 124 with value (4 30) 182 with value (4 44) 1 with value (4 65)
% 1.91/2.11 ; 138 with value (4 31) 195 with value (4 45) 1 with value (4 66)
% 1.91/2.11 ; 132 with value (4 32) 247 with value (4 46) 1 with value (4 67)
% 1.91/2.11 ; 124 with value (4 33) 162 with value (4 47) 1 with value (4 70)
% 1.91/2.11 ; 278 with value (4 34) 74 with value (4 48) 1 with value (4 75)
% 1.91/2.11 ; 278 with value (4 35) 77 with value (4 49)
% 1.91/2.11 Evaluation took:
% 1.91/2.11 1.606 seconds of real time
% 1.91/2.11 1.503456 seconds of user run time
% 1.91/2.11 0.101919 seconds of system run time
% 1.91/2.11 [Run times include 0.199 seconds GC run time.]
% 1.91/2.11 0 calls to %EVAL
% 1.91/2.11 0 page faults and
% 1.91/2.11 94,833,448 bytes consed.
% 1.91/2.11 :PROOF-FOUND
% 1.91/2.11 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:27:06
% 1.91/2.11 :PROOF-FOUND
% 1.91/2.11 *
%------------------------------------------------------------------------------