TSTP Solution File: GEO526+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO526+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : Sat Jul 16 06:16:34 EDT 2022
% Result : Theorem 19.37s 19.56s
% Output : Refutation 19.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 18 RR)
% Number of literals : 27 ( 3 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
( ~ s_e(X,Y,Z,U)
| ~ s_e(Z,U,V,W)
| s_e(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_3) ).
cnf(102,axiom,
( ~ s_m(X,Y,Z)
| Z = s(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
cnf(124,axiom,
( ~ s_r(X,Y,Z)
| s_r(X,Y,s(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_4) ).
cnf(163,axiom,
s_m(X,midpoint(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
cnf(213,axiom,
( ~ s_r(X,Y,Z)
| ~ s_r(U,Y,Z)
| ~ s_e(X,Y,U,Y)
| s_e(X,Z,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12b) ).
cnf(214,negated_conjecture,
s_r('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
cnf(215,negated_conjecture,
s_r('SKOLEMAAAU4','SKOLEMAAAU2','SKOLEMAAAU5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
cnf(216,negated_conjecture,
s_e('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU4','SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
cnf(218,negated_conjecture,
~ s_e('SKOLEMAAAU1','SKOLEMAAAU3','SKOLEMAAAU4','SKOLEMAAAU5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
cnf(219,negated_conjecture,
'SKOLEMAAAU2' = midpoint('SKOLEMAAAU3','SKOLEMAAAU5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_12c) ).
cnf(267,axiom,
( ~ s_r(X,Y,Z)
| s_e(X,Z,X,s(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
cnf(296,plain,
s_m('SKOLEMAAAU3','SKOLEMAAAU2','SKOLEMAAAU5'),
inference('PARAMODULATE',[status(thm)],[163,219,theory(equality)]) ).
cnf(441,plain,
s_r('SKOLEMAAAU1','SKOLEMAAAU2',s('SKOLEMAAAU2','SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[124,214]) ).
cnf(515,plain,
s_e('SKOLEMAAAU1','SKOLEMAAAU3','SKOLEMAAAU1',s('SKOLEMAAAU2','SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[267,214]) ).
cnf(3309,plain,
'SKOLEMAAAU5' = s('SKOLEMAAAU2','SKOLEMAAAU3'),
inference('HYPERRESOLVE',[status(thm)],[102,296]) ).
cnf(3310,plain,
s_r('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU5'),
inference('REWRITE',[status(thm)],[441,3309,theory(equality)]) ).
cnf(3311,plain,
s_e('SKOLEMAAAU1','SKOLEMAAAU3','SKOLEMAAAU1','SKOLEMAAAU5'),
inference('REWRITE',[status(thm)],[515,3309,theory(equality)]) ).
cnf(4579,plain,
s_e('SKOLEMAAAU1','SKOLEMAAAU5','SKOLEMAAAU4','SKOLEMAAAU5'),
inference('HYPERRESOLVE',[status(thm)],[213,3310,215,216]) ).
cnf(6328,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,3311,218]),4579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO526+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 09:50:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:50:49
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-18T09:50:49
% 0.39/0.57
% 0.39/0.57 ; Recognized commutativity assertion (OR (NOT (|s_col| ?X ?Y ?Z)) (|s_col| ?Y ?X ?Z)).
% 0.41/0.58 ; Recognized relation functionality assertion (OR (NOT (|s_m| ?X ?Y ?Z)) (NOT (|s_m| ?X ?Y ?U)) (= ?Z ?U)).
% 19.37/19.56 ; Declaring s_col to be commutative.
% 19.37/19.56
% 19.37/19.56 #||
% 19.37/19.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.37/19.56 % SZS output start Refutation
% See solution above
% 19.37/19.56 ||#
% 19.37/19.56
% 19.37/19.56 ; Summary of computation:
% 19.37/19.56 ; 71257 formulas have been input or derived (from 384 formulas).
% 19.37/19.56 ; 6328 ( 9%) were retained. Of these,
% 19.37/19.56 ; 412 ( 7%) were simplified or subsumed later,
% 19.37/19.56 ; 5916 (93%) are still being kept.
% 19.37/19.56 ;
% 19.37/19.56 ; Run time in seconds excluding printing time:
% 19.37/19.56 ; 0.079 0% Read assertion file (1 call)
% 19.37/19.56 ; 0.009 0% Assert (210 calls)
% 19.37/19.56 ; 0.558 3% Process new row (62,100 calls)
% 19.37/19.56 ; 14.590 76% Resolution (766 calls)
% 19.37/19.56 ; 0.002 0% Paramodulation (383 calls)
% 19.37/19.56 ; 0.001 0% Factoring (19 calls)
% 19.37/19.56 ; 0.276 1% Condensing (14,343 calls)
% 19.37/19.56 ; 0.853 4% Forward subsumption (14,343 calls)
% 19.37/19.56 ; 0.156 1% Backward subsumption (3,670 calls)
% 19.37/19.56 ; 0.790 4% Clause clause subsumption (152,480 calls)
% 19.37/19.56 ; 1.488 8% Forward simplification (62,100 calls)
% 19.37/19.56 ; 0.053 0% Backward simplification (6,326 calls)
% 19.37/19.56 ; 0.021 0% Ordering (16,868 calls)
% 19.37/19.56 ; 0.000 0% Sortal reasoning (32 calls)
% 19.37/19.56 ; 0.001 0% Purity testing (1 call)
% 19.37/19.56 ; 0.208 1% Other
% 19.37/19.56 ; 19.085 Total
% 19.37/19.56 ; 19.085 Real time
% 19.37/19.56 ;
% 19.37/19.56 ; Term-hash-array has 8,992 terms in all.
% 19.37/19.56 ; Feature-vector-row-index has 3,397 entries (3,475 at peak, 3,670 added, 273 deleted).
% 19.37/19.56 ; Feature-vector-row-index has 6,144 nodes (6,277 at peak, 6,986 added, 842 deleted).
% 19.37/19.56 ; Retrieved 375,782 possibly forward subsuming rows in 14,343 calls.
% 19.37/19.56 ; Retrieved 21,778 possibly backward subsumed rows in 3,670 calls.
% 19.37/19.56 ; Path-index has 8,795 entries (8,795 at peak, 9,369 added, 574 deleted).
% 19.37/19.56 ; Path-index has 14,852 nodes (14,862 at peak, 15,206 added, 354 deleted).
% 19.37/19.56 ; Trie-index has 8,795 entries (8,795 at peak, 9,369 added, 574 deleted).
% 19.37/19.56 ; Trie-index has 39,379 nodes (39,387 at peak, 41,688 added, 2,309 deleted).
% 19.37/19.56 ; Retrieved 290,071 generalization terms in 275,412 calls.
% 19.37/19.56 ; Retrieved 7,616 instance terms in 2,655 calls.
% 19.37/19.56 ; Retrieved 29,767,885 unifiable terms in 342,175 calls.
% 19.37/19.56 ;
% 19.37/19.56 ; The agenda of rows to process has 637 entries:
% 19.37/19.56 ; 31 with value 8 71 with value 17 42 with value 26
% 19.37/19.56 ; 43 with value 10 24 with value 19 2 with value 27
% 19.37/19.56 ; 6 with value 11 4 with value 20 2 with value 28
% 19.37/19.56 ; 219 with value 12 33 with value 21 4 with value 32
% 19.37/19.56 ; 24 with value 13 1 with value 22 1 with value 40
% 19.37/19.56 ; 85 with value 14 1 with value 23 1 with value 42
% 19.37/19.56 ; 2 with value 15 26 with value 24 2 with value 57
% 19.37/19.56 ; 9 with value 16 3 with value 25 1 with value 61
% 19.37/19.56 ; The agenda of rows to give has 5532 entries:
% 19.37/19.56 ; 49 with value (4 7) 95 with value (4 31) 33 with value (4 54)
% 19.37/19.56 ; 79 with value (4 8) 124 with value (4 32) 21 with value (4 55)
% 19.37/19.56 ; 139 with value (4 9) 86 with value (4 33) 9 with value (4 56)
% 19.37/19.56 ; 234 with value (4 10) 75 with value (4 34) 29 with value (4 57)
% 19.37/19.56 ; 236 with value (4 11) 65 with value (4 35) 65 with value (4 58)
% 19.37/19.56 ; 621 with value (4 12) 117 with value (4 36) 29 with value (4 59)
% 19.37/19.56 ; 236 with value (4 13) 104 with value (4 37) 5 with value (4 60)
% 19.37/19.56 ; 176 with value (4 14) 75 with value (4 38) 12 with value (4 61)
% 19.37/19.56 ; 79 with value (4 15) 76 with value (4 39) 26 with value (4 62)
% 19.37/19.56 ; 180 with value (4 16) 48 with value (4 40) 15 with value (4 63)
% 19.37/19.56 ; 221 with value (4 17) 115 with value (4 41) 14 with value (4 64)
% 19.37/19.56 ; 81 with value (4 18) 107 with value (4 42) 5 with value (4 65)
% 19.37/19.56 ; 150 with value (4 19) 54 with value (4 43) 5 with value (4 68)
% 19.37/19.56 ; 125 with value (4 20) 73 with value (4 44) 3 with value (4 69)
% 19.37/19.56 ; 65 with value (4 21) 69 with value (4 45) 1 with value (4 70)
% 19.37/19.56 ; 117 with value (4 22) 62 with value (4 46) 1 with value (4 72)
% 19.37/19.56 ; 99 with value (4 23) 81 with value (4 47) 2 with value (4 73)
% 19.37/19.56 ; 90 with value (4 24) 77 with value (4 48) 1 with value (4 91)
% 19.37/19.56 ; 126 with value (4 25) 29 with value (4 49) 1 with value (4 97)
% 19.37/19.56 ; 84 with value (4 26) 60 with value (4 50) 2 with value (4 99)
% 19.37/19.56 ; 101 with value (4 27) 24 with value (4 51) 1 with value (4 102)
% 19.37/19.56 ; 116 with value (4 28) 14 with value (4 52) 1 with value (4 109)
% 19.37/19.56 ; 79 with value (4 29) 75 with value (4 53) 2 with value (4 123)
% 19.37/19.56 ; 61 with value (4 30)
% 19.37/19.56 Evaluation took:
% 19.37/19.56 19.086 seconds of real time
% 19.37/19.56 18.500364 seconds of user run time
% 19.37/19.56 0.587413 seconds of system run time
% 19.37/19.56 [Run times include 0.92 seconds GC run time.]
% 19.37/19.56 0 calls to %EVAL
% 19.37/19.56 0 page faults and
% 19.37/19.56 1,048,079,168 bytes consed.
% 19.37/19.56 :PROOF-FOUND
% 19.37/19.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:51:08
% 19.37/19.56 :PROOF-FOUND
% 19.37/19.56 *
%------------------------------------------------------------------------------