TSTP Solution File: GEO028-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO028-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:13:15 EDT 2022
% Result : Unsatisfiable 35.01s 35.22s
% Output : Refutation 35.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 10 unt; 1 nHn; 8 RR)
% Number of literals : 20 ( 4 equ; 9 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 32 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(d2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(d5,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(Z,U,V,W)
| equidistant(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
cnf(d9,axiom,
( ~ between(X,Y,Z)
| ~ between(X,Y,U)
| ~ equidistant(Y,Z,Y,U)
| X = Y
| Z = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
cnf(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(prove_equal_extensions,negated_conjecture,
extension(u,v,w,x) != extension(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_extensions) ).
cnf(52,plain,
equidistant(X,Y,Z,extension(U,Z,X,Y)),
inference('HYPERRESOLVE',[status(thm)],[d2,segment_construction2]) ).
cnf(83,plain,
equidistant(X,extension(Y,X,w,x),y,z),
inference('HYPERRESOLVE',[status(thm)],[d5,segment_construction2,w_to_x_equals_y_to_z]) ).
cnf(92,plain,
~ equidistant(v,extension(u,v,w,x),v,extension(u,v,y,z)),
inference('UR-RESOLVE',[status(thm)],[d9,segment_construction1,segment_construction1,u_not_v,prove_equal_extensions]) ).
cnf(10128,plain,
equidistant(X,extension(Y,X,w,x),Z,extension(U,Z,y,z)),
inference('HYPERRESOLVE',[status(thm)],[d5,83,52]) ).
cnf(10129,plain,
$false,
inference('REWRITE',[status(thm)],[92,10128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO028-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 07:00:18 EDT 2022
% 0.14/0.35 % 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 2022-06-18T07:00:18
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T07:00:18
% 0.20/0.50
% 35.01/35.22 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 35.01/35.22
% 35.01/35.22 #||
% 35.01/35.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.01/35.22 % SZS output start Refutation
% See solution above
% 35.01/35.22 ||#
% 35.01/35.22
% 35.01/35.22 ; Summary of computation:
% 35.01/35.22 ; 57100 formulas have been input or derived (from 152 formulas).
% 35.01/35.22 ; 10129 (18%) were retained. Of these,
% 35.01/35.22 ; 476 ( 5%) were simplified or subsumed later,
% 35.01/35.22 ; 9653 (95%) are still being kept.
% 35.01/35.22 ;
% 35.01/35.22 ; Run time in seconds excluding printing time:
% 35.01/35.22 ; 0.009 0% Read assertion file (1 call)
% 35.01/35.22 ; 0.002 0% Assert (41 calls)
% 35.01/35.22 ; 1.230 4% Process new row (52,494 calls)
% 35.01/35.22 ; 31.397 90% Resolution (302 calls)
% 35.01/35.22 ; 0.006 0% Paramodulation (151 calls)
% 35.01/35.22 ; 0.011 0% Condensing (804 calls)
% 35.01/35.22 ; 0.091 0% Forward subsumption (804 calls)
% 35.01/35.22 ; 0.086 0% Backward subsumption (712 calls)
% 35.01/35.22 ; 0.086 0% Clause clause subsumption (36,990 calls)
% 35.01/35.22 ; 1.343 4% Forward simplification (52,494 calls)
% 35.01/35.22 ; 0.267 1% Backward simplification (10,129 calls)
% 35.01/35.22 ; 0.003 0% Ordering (1,595 calls)
% 35.01/35.22 ; 0.000 0% Sortal reasoning (32 calls)
% 35.01/35.22 ; 0.000 0% Purity testing (1 call)
% 35.01/35.22 ; 0.206 1% Other
% 35.01/35.22 ; 34.737 Total
% 35.01/35.22 ; 34.739 Real time
% 35.01/35.22 ;
% 35.01/35.22 ; Term-hash-array has 18,360 terms in all.
% 35.01/35.22 ; Feature-vector-row-index has 672 entries (672 at peak, 712 added, 40 deleted).
% 35.01/35.22 ; Feature-vector-row-index has 1,586 nodes (1,586 at peak, 1,592 added, 6 deleted).
% 35.01/35.22 ; Retrieved 22,911 possibly forward subsuming rows in 804 calls.
% 35.01/35.22 ; Retrieved 15,979 possibly backward subsumed rows in 712 calls.
% 35.01/35.22 ; Path-index has 17,888 entries (17,889 at peak, 18,719 added, 831 deleted).
% 35.01/35.22 ; Path-index has 12,252 nodes (12,252 at peak, 12,256 added, 4 deleted).
% 35.01/35.22 ; Trie-index has 17,888 entries (17,889 at peak, 18,719 added, 831 deleted).
% 35.01/35.22 ; Trie-index has 224,498 nodes (224,506 at peak, 234,666 added, 10,168 deleted).
% 35.01/35.22 ; Retrieved 596,509 generalization terms in 156,146 calls.
% 35.01/35.22 ; Retrieved 26,357 instance terms in 9,416 calls.
% 35.01/35.22 ; Retrieved 45,779,074 unifiable terms in 796,090 calls.
% 35.01/35.22 ;
% 35.01/35.22 ; The agenda of rows to process has 286 entries:
% 35.01/35.22 ; 11 with value 17 1 with value 28 1 with value 45
% 35.01/35.22 ; 26 with value 18 25 with value 30 5 with value 48
% 35.01/35.22 ; 23 with value 19 8 with value 31 1 with value 49
% 35.01/35.22 ; 16 with value 20 6 with value 32 4 with value 50
% 35.01/35.22 ; 29 with value 21 1 with value 33 1 with value 52
% 35.01/35.22 ; 6 with value 22 12 with value 35 6 with value 53
% 35.01/35.22 ; 4 with value 23 4 with value 36 1 with value 56
% 35.01/35.22 ; 1 with value 24 12 with value 39 1 with value 57
% 35.01/35.22 ; 1 with value 25 4 with value 40 4 with value 58
% 35.01/35.22 ; 34 with value 26 8 with value 41 4 with value 61
% 35.01/35.22 ; 12 with value 27 14 with value 44
% 35.01/35.22 ; The agenda of rows to give has 9501 entries:
% 35.01/35.22 ; 25 with value (4 12) 247 with value (4 37) 23 with value (4 62)
% 35.01/35.22 ; 86 with value (4 13) 164 with value (4 38) 34 with value (4 63)
% 35.01/35.22 ; 94 with value (4 14) 369 with value (4 39) 57 with value (4 64)
% 35.01/35.22 ; 76 with value (4 15) 245 with value (4 40) 20 with value (4 65)
% 35.01/35.22 ; 146 with value (4 16) 264 with value (4 41) 20 with value (4 67)
% 35.01/35.22 ; 158 with value (4 17) 308 with value (4 42) 19 with value (4 68)
% 35.01/35.22 ; 96 with value (4 18) 280 with value (4 43) 2 with value (4 69)
% 35.01/35.22 ; 96 with value (4 19) 310 with value (4 44) 24 with value (4 71)
% 35.01/35.22 ; 78 with value (4 20) 146 with value (4 45) 28 with value (4 72)
% 35.01/35.22 ; 106 with value (4 21) 240 with value (4 46) 8 with value (4 73)
% 35.01/35.22 ; 187 with value (4 22) 208 with value (4 47) 22 with value (4 74)
% 35.01/35.22 ; 182 with value (4 23) 284 with value (4 48) 12 with value (4 76)
% 35.01/35.22 ; 135 with value (4 24) 79 with value (4 49) 10 with value (4 77)
% 35.01/35.22 ; 245 with value (4 25) 79 with value (4 50) 20 with value (4 78)
% 35.01/35.22 ; 335 with value (4 26) 98 with value (4 51) 16 with value (4 79)
% 35.01/35.22 ; 418 with value (4 27) 156 with value (4 52) 18 with value (4 80)
% 35.01/35.22 ; 159 with value (4 28) 90 with value (4 53) 14 with value (4 81)
% 35.01/35.22 ; 311 with value (4 29) 102 with value (4 54) 18 with value (4 83)
% 35.01/35.22 ; 293 with value (4 30) 59 with value (4 55) 16 with value (4 84)
% 35.01/35.22 ; 419 with value (4 31) 88 with value (4 56) 8 with value (4 85)
% 35.01/35.22 ; 203 with value (4 32) 50 with value (4 57) 2 with value (4 87)
% 35.01/35.22 ; 287 with value (4 33) 79 with value (4 58) 8 with value (4 92)
% 35.01/35.22 ; 175 with value (4 34) 72 with value (4 59) 8 with value (4 96)
% 35.01/35.22 ; 386 with value (4 35) 74 with value (4 60) 8 with value (4 104)
% 35.01/35.22 ; 265 with value (4 36) 26 with value (4 61) 8 with value (4 108)
% 35.01/35.22 Evaluation took:
% 35.01/35.22 34.74 seconds of real time
% 35.01/35.22 34.1777 seconds of user run time
% 35.01/35.22 0.562067 seconds of system run time
% 35.01/35.22 [Run times include 2.119 seconds GC run time.]
% 35.01/35.22 0 calls to %EVAL
% 35.01/35.22 0 page faults and
% 35.01/35.22 1,509,317,528 bytes consed.
% 35.01/35.22 :PROOF-FOUND
% 35.01/35.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:00:52
% 35.01/35.22 :PROOF-FOUND
% 35.01/35.22 *
%------------------------------------------------------------------------------