TSTP Solution File: GEO028-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO028-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 06:13:15 EDT 2022
% Result : Unsatisfiable 39.14s 39.41s
% Output : Refutation 39.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 12 unt; 1 nHn; 8 RR)
% Number of literals : 25 ( 4 equ; 12 neg)
% Maximal clause size : 8 ( 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 : 40 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,Y,V,W)
| equidistant(Z,U,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(outer_five_segment,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(Y,V,U,W)
| ~ equidistant(X,X1,Z,Y1)
| ~ equidistant(Y,X1,U,Y1)
| ~ between(X,Y,V)
| ~ between(Z,U,W)
| X = Y
| equidistant(V,X1,W,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_equal_extensions) ).
cnf(27,plain,
~ equidistant(extension(u,v,w,x),extension(u,v,y,z),X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_equal_extensions]) ).
cnf(34,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(63,plain,
equidistant(X,Y,Z,extension(U,Z,X,Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,34,segment_construction2]) ).
cnf(219,plain,
equidistant(y,z,X,extension(Y,X,w,x)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,63,w_to_x_equals_y_to_z]) ).
cnf(1836,plain,
equidistant(X,extension(Y,X,w,x),Z,extension(U,Z,y,z)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,219,63]) ).
cnf(4495,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[outer_five_segment,27,34,34,34,segment_construction1,segment_construction1,u_not_v]),1836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO028-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 15:02:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 *
% 0.20/0.50 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:02:34
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T15:02:34
% 39.14/39.41
% 39.14/39.41
% 39.14/39.41 #||
% 39.14/39.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.14/39.41 % SZS output start Refutation
% See solution above
% 39.14/39.41 ||#
% 39.14/39.41
% 39.14/39.41 ; Summary of computation:
% 39.14/39.41 ; 36680 formulas have been input or derived (from 98 formulas).
% 39.14/39.41 ; 4495 (12%) were retained. Of these,
% 39.14/39.41 ; 441 (10%) were simplified or subsumed later,
% 39.14/39.41 ; 4054 (90%) are still being kept.
% 39.14/39.41 ;
% 39.14/39.41 ; Run time in seconds excluding printing time:
% 39.14/39.41 ; 0.007 0% Read assertion file (1 call)
% 39.14/39.41 ; 0.001 0% Assert (21 calls)
% 39.14/39.41 ; 1.018 3% Process new row (32,238 calls)
% 39.14/39.41 ; 34.311 88% Resolution (194 calls)
% 39.14/39.41 ; 0.011 0% Paramodulation (97 calls)
% 39.14/39.41 ; 0.030 0% Condensing (1,227 calls)
% 39.14/39.41 ; 0.365 1% Forward subsumption (1,227 calls)
% 39.14/39.41 ; 0.186 0% Backward subsumption (1,064 calls)
% 39.14/39.41 ; 0.159 0% Clause clause subsumption (53,450 calls)
% 39.14/39.41 ; 2.062 5% Forward simplification (31,374 calls)
% 39.14/39.41 ; 0.458 1% Backward simplification (4,495 calls)
% 39.14/39.41 ; 0.006 0% Ordering (1,816 calls)
% 39.14/39.41 ; 0.001 0% Sortal reasoning (32 calls)
% 39.14/39.41 ; 0.000 0% Purity testing (1 call)
% 39.14/39.41 ; 0.214 1% Other
% 39.14/39.41 ; 38.829 Total
% 39.14/39.41 ; 38.906 Real time
% 39.14/39.41 ;
% 39.14/39.41 ; Term-hash-array has 9,279 terms in all.
% 39.14/39.41 ; Feature-vector-row-index has 888 entries (888 at peak, 1,064 added, 176 deleted).
% 39.14/39.41 ; Feature-vector-row-index has 1,865 nodes (1,889 at peak, 2,871 added, 1,006 deleted).
% 39.14/39.41 ; Retrieved 37,855 possibly forward subsuming rows in 1,227 calls.
% 39.14/39.41 ; Retrieved 18,542 possibly backward subsumed rows in 1,064 calls.
% 39.14/39.41 ; Path-index has 8,696 entries (8,696 at peak, 9,621 added, 925 deleted).
% 39.14/39.41 ; Path-index has 10,645 nodes (10,645 at peak, 10,921 added, 276 deleted).
% 39.14/39.41 ; Trie-index has 8,696 entries (8,696 at peak, 9,621 added, 925 deleted).
% 39.14/39.41 ; Trie-index has 102,041 nodes (102,041 at peak, 110,742 added, 8,701 deleted).
% 39.14/39.41 ; Retrieved 287,402 generalization terms in 110,793 calls.
% 39.14/39.41 ; Retrieved 31,201 instance terms in 3,430 calls.
% 39.14/39.41 ; Retrieved 25,955,774 unifiable terms in 486,143 calls.
% 39.14/39.41 ;
% 39.14/39.41 ; The agenda of rows to process has 9 entries:
% 39.14/39.41 ; 1 with value 18 3 with value 22 1 with value 24
% 39.14/39.41 ; 2 with value 21 2 with value 23
% 39.14/39.41 ; The agenda of rows to give has 3957 entries:
% 39.14/39.41 ; 1 with value (4 16) 183 with value (4 43) 16 with value (4 70)
% 39.14/39.41 ; 13 with value (4 17) 56 with value (4 44) 22 with value (4 72)
% 39.14/39.41 ; 28 with value (4 18) 43 with value (4 45) 54 with value (4 73)
% 39.14/39.41 ; 67 with value (4 19) 115 with value (4 46) 20 with value (4 74)
% 39.14/39.41 ; 32 with value (4 20) 110 with value (4 47) 24 with value (4 76)
% 39.14/39.41 ; 38 with value (4 21) 59 with value (4 48) 64 with value (4 77)
% 39.14/39.41 ; 26 with value (4 22) 153 with value (4 49) 16 with value (4 78)
% 39.14/39.41 ; 56 with value (4 23) 86 with value (4 50) 40 with value (4 80)
% 39.14/39.41 ; 42 with value (4 24) 78 with value (4 51) 10 with value (4 81)
% 39.14/39.41 ; 30 with value (4 25) 40 with value (4 52) 22 with value (4 84)
% 39.14/39.41 ; 93 with value (4 26) 91 with value (4 53) 12 with value (4 85)
% 39.14/39.41 ; 64 with value (4 27) 90 with value (4 54) 32 with value (4 86)
% 39.14/39.41 ; 45 with value (4 28) 69 with value (4 55) 10 with value (4 87)
% 39.14/39.41 ; 18 with value (4 29) 62 with value (4 56) 16 with value (4 90)
% 39.14/39.41 ; 58 with value (4 30) 32 with value (4 57) 4 with value (4 91)
% 39.14/39.41 ; 41 with value (4 31) 4 with value (4 58) 4 with value (4 92)
% 39.14/39.41 ; 108 with value (4 32) 43 with value (4 59) 104 with value (4 94)
% 39.14/39.41 ; 81 with value (4 33) 51 with value (4 60) 24 with value (4 95)
% 39.14/39.41 ; 117 with value (4 34) 94 with value (4 61) 2 with value (4 97)
% 39.14/39.41 ; 33 with value (4 35) 45 with value (4 62) 22 with value (4 98)
% 39.14/39.41 ; 65 with value (4 36) 23 with value (4 63) 2 with value (4 109)
% 39.14/39.41 ; 122 with value (4 37) 20 with value (4 64) 6 with value (4 110)
% 39.14/39.41 ; 80 with value (4 38) 10 with value (4 65) 32 with value (4 114)
% 39.14/39.41 ; 76 with value (4 39) 40 with value (4 66) 8 with value (4 115)
% 39.14/39.41 ; 35 with value (4 40) 8 with value (4 67) 64 with value (4 118)
% 39.14/39.41 ; 120 with value (4 41) 4 with value (4 68) 16 with value (4 119)
% 39.14/39.41 ; 103 with value (4 42) 110 with value (4 69)
% 39.14/39.41 Evaluation took:
% 39.14/39.41 38.907 seconds of real time
% 39.14/39.41 38.26519 seconds of user run time
% 39.14/39.41 0.566279 seconds of system run time
% 39.14/39.41 [Run times include 1.747 seconds GC run time.]
% 39.14/39.41 0 calls to %EVAL
% 39.14/39.41 0 page faults and
% 39.14/39.41 820,628,128 bytes consed.
% 39.14/39.41 :PROOF-FOUND
% 39.14/39.41 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:03:13
% 39.14/39.41 :PROOF-FOUND
% 39.14/39.41 *
%------------------------------------------------------------------------------