TSTP Solution File: GEO029-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO029-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 06:13:16 EDT 2022
% Result : Unsatisfiable 1.47s 1.66s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 12 unt; 1 nHn; 8 RR)
% Number of literals : 22 ( 6 equ; 10 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 : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 34 ( 4 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(reflection,axiom,
reflection(X,Y) = extension(X,Y,X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(d4_4,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(U,Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
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(r2_1,axiom,
between(X,Y,reflection(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_1) ).
cnf(r2_2,axiom,
equidistant(X,reflection(Y,X),Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).
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(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,u,v) != extension(u,v,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_extensions) ).
cnf(41,plain,
reflection(u,v) != extension(u,v,v,u),
inference('REWRITE',[status(thm)],[prove_equal_extensions,reflection,theory(equality)]) ).
cnf(66,plain,
equidistant(X,Y,X,reflection(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[d4_4,r2_2]) ).
cnf(82,plain,
~ equidistant(v,extension(u,v,v,u),v,reflection(u,v)),
inference('UR-RESOLVE',[status(thm)],[d9,segment_construction1,r2_1,u_not_v,41]) ).
cnf(536,plain,
equidistant(X,extension(Y,X,Z,U),Z,reflection(U,Z)),
inference('HYPERRESOLVE',[status(thm)],[d5,66,segment_construction2]) ).
cnf(537,plain,
$false,
inference('REWRITE',[status(thm)],[82,536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO029-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 11:06:13 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 2022-06-18T11:06:13
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-18T11:06:13
% 0.20/0.50
% 1.47/1.66 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 1.47/1.66
% 1.47/1.66 #||
% 1.47/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/1.66 % SZS output start Refutation
% See solution above
% 1.47/1.66 ||#
% 1.47/1.66
% 1.47/1.66 ; Summary of computation:
% 1.47/1.66 ; 4917 formulas have been input or derived (from 56 formulas).
% 1.47/1.66 ; 537 (11%) were retained. Of these,
% 1.47/1.66 ; 11 ( 2%) were simplified or subsumed later,
% 1.47/1.66 ; 526 (98%) are still being kept.
% 1.47/1.66 ;
% 1.47/1.66 ; Run time in seconds excluding printing time:
% 1.47/1.66 ; 0.009 1% Read assertion file (1 call)
% 1.47/1.66 ; 0.002 0% Assert (40 calls)
% 1.47/1.66 ; 0.056 5% Process new row (3,200 calls)
% 1.47/1.66 ; 1.025 87% Resolution (110 calls)
% 1.47/1.66 ; 0.000 0% Paramodulation (55 calls)
% 1.47/1.66 ; 0.003 0% Condensing (84 calls)
% 1.47/1.66 ; 0.001 0% Forward subsumption (84 calls)
% 1.47/1.66 ; 0.001 0% Backward subsumption (77 calls)
% 1.47/1.66 ; 0.001 0% Clause clause subsumption (366 calls)
% 1.47/1.66 ; 0.034 3% Forward simplification (3,200 calls)
% 1.47/1.66 ; 0.008 1% Backward simplification (536 calls)
% 1.47/1.66 ; 0.002 0% Ordering (157 calls)
% 1.47/1.66 ; 0.001 0% Sortal reasoning (32 calls)
% 1.47/1.66 ; 0.000 0% Purity testing (1 call)
% 1.47/1.66 ; 0.036 3% Other
% 1.47/1.66 ; 1.179 Total
% 1.47/1.66 ; 1.181 Real time
% 1.47/1.66 ;
% 1.47/1.66 ; Term-hash-array has 962 terms in all.
% 1.47/1.66 ; Feature-vector-row-index has 75 entries (75 at peak, 77 added, 2 deleted).
% 1.47/1.66 ; Feature-vector-row-index has 151 nodes (151 at peak, 151 added, 0 deleted).
% 1.47/1.66 ; Retrieved 225 possibly forward subsuming rows in 84 calls.
% 1.47/1.66 ; Retrieved 145 possibly backward subsumed rows in 77 calls.
% 1.47/1.66 ; Path-index has 955 entries (956 at peak, 968 added, 13 deleted).
% 1.47/1.66 ; Path-index has 2,956 nodes (2,956 at peak, 2,956 added, 0 deleted).
% 1.47/1.66 ; Trie-index has 955 entries (956 at peak, 968 added, 13 deleted).
% 1.47/1.66 ; Trie-index has 8,100 nodes (8,109 at peak, 8,119 added, 19 deleted).
% 1.47/1.66 ; Retrieved 14,353 generalization terms in 7,264 calls.
% 1.47/1.66 ; Retrieved 673 instance terms in 458 calls.
% 1.47/1.66 ; Retrieved 2,342,398 unifiable terms in 48,814 calls.
% 1.47/1.66 ;
% 1.47/1.66 ; The agenda of rows to process has 717 entries:
% 1.47/1.66 ; 53 with value 15 14 with value 31 4 with value 47
% 1.47/1.66 ; 38 with value 16 7 with value 32 1 with value 48
% 1.47/1.66 ; 67 with value 17 18 with value 33 3 with value 49
% 1.47/1.66 ; 48 with value 18 10 with value 34 1 with value 53
% 1.47/1.66 ; 38 with value 19 21 with value 35 2 with value 55
% 1.47/1.66 ; 30 with value 20 12 with value 36 1 with value 56
% 1.47/1.66 ; 8 with value 21 5 with value 37 4 with value 57
% 1.47/1.66 ; 30 with value 22 11 with value 38 1 with value 58
% 1.47/1.66 ; 26 with value 23 8 with value 39 1 with value 60
% 1.47/1.66 ; 14 with value 24 20 with value 40 1 with value 62
% 1.47/1.66 ; 24 with value 25 1 with value 41 2 with value 64
% 1.47/1.66 ; 21 with value 26 13 with value 42 3 with value 66
% 1.47/1.66 ; 40 with value 27 6 with value 43 3 with value 68
% 1.47/1.66 ; 20 with value 28 8 with value 44 3 with value 70
% 1.47/1.66 ; 42 with value 29 16 with value 46 2 with value 72
% 1.47/1.66 ; 16 with value 30
% 1.47/1.66 ; The agenda of rows to give has 470 entries:
% 1.47/1.66 ; 7 with value (4 10) 21 with value (4 29) 4 with value (4 48)
% 1.47/1.66 ; 6 with value (4 11) 2 with value (4 30) 6 with value (4 50)
% 1.47/1.66 ; 15 with value (4 12) 17 with value (4 31) 1 with value (4 51)
% 1.47/1.66 ; 13 with value (4 13) 6 with value (4 32) 1 with value (4 52)
% 1.47/1.66 ; 16 with value (4 14) 13 with value (4 33) 1 with value (4 53)
% 1.47/1.66 ; 11 with value (4 15) 5 with value (4 34) 2 with value (4 54)
% 1.47/1.66 ; 21 with value (4 16) 10 with value (4 35) 1 with value (4 56)
% 1.47/1.66 ; 12 with value (4 17) 11 with value (4 36) 3 with value (4 60)
% 1.47/1.66 ; 20 with value (4 18) 3 with value (4 37) 1 with value (4 63)
% 1.47/1.66 ; 12 with value (4 19) 11 with value (4 38) 3 with value (4 64)
% 1.47/1.66 ; 15 with value (4 20) 4 with value (4 39) 1 with value (4 66)
% 1.47/1.66 ; 13 with value (4 21) 12 with value (4 40) 2 with value (4 67)
% 1.47/1.66 ; 21 with value (4 22) 2 with value (4 41) 1 with value (4 68)
% 1.47/1.66 ; 25 with value (4 23) 9 with value (4 42) 1 with value (4 69)
% 1.47/1.66 ; 7 with value (4 24) 2 with value (4 43) 1 with value (4 70)
% 1.47/1.66 ; 32 with value (4 25) 10 with value (4 44) 1 with value (4 71)
% 1.47/1.66 ; 14 with value (4 26) 1 with value (4 45) 2 with value (4 73)
% 1.47/1.66 ; 26 with value (4 27) 8 with value (4 46) 1 with value (4 77)
% 1.47/1.66 ; 4 with value (4 28)
% 1.47/1.66 Evaluation took:
% 1.47/1.66 1.181 seconds of real time
% 1.47/1.66 1.161675 seconds of user run time
% 1.47/1.66 0.02012 seconds of system run time
% 1.47/1.66 [Run times include 0.045 seconds GC run time.]
% 1.47/1.66 0 calls to %EVAL
% 1.47/1.66 0 page faults and
% 1.47/1.66 73,940,616 bytes consed.
% 1.47/1.66 :PROOF-FOUND
% 1.47/1.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T11:06:14
% 1.47/1.66 :PROOF-FOUND
% 1.47/1.66 *
%------------------------------------------------------------------------------