TSTP Solution File: GEO049-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO049-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:13:27 EDT 2022
% Result : Unsatisfiable 44.22s 44.42s
% Output : Refutation 44.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 17 unt; 1 nHn; 19 RR)
% Number of literals : 36 ( 6 equ; 17 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 : 42 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
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(d2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(b0,axiom,
( X != extension(Y,Z,U,V)
| between(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).
cnf(b1,axiom,
( ~ between(X,Y,Z)
| X != Z
| between(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
cnf(t1,axiom,
( ~ between(X,Y,Z)
| between(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(t2,axiom,
between(X,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
cnf(u_to_w_equals_u1_to_w1,hypothesis,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(prove_v1_between_u1_and_w1,negated_conjecture,
~ between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v1_between_u1_and_w1) ).
cnf(102,plain,
~ between(w1,v1,u1),
inference('UR-RESOLVE',[status(thm)],[t1,prove_v1_between_u1_and_w1]) ).
cnf(115,plain,
equidistant(v1,w1,v,w),
inference('HYPERRESOLVE',[status(thm)],[d2,v_to_w_equals_v1_to_w1]) ).
cnf(116,plain,
equidistant(u1,w1,u,w),
inference('HYPERRESOLVE',[status(thm)],[d2,u_to_w_equals_u1_to_w1]) ).
cnf(117,plain,
equidistant(u1,v1,u,v),
inference('HYPERRESOLVE',[status(thm)],[d2,u_to_v_equals_u1_to_v1]) ).
cnf(149,plain,
w1 != extension(u1,v1,X,Y),
inference('UR-RESOLVE',[status(thm)],[b0,prove_v1_between_u1_and_w1]) ).
cnf(1215,plain,
v1 != u1,
inference('UR-RESOLVE',[status(thm)],[b1,102,t2]) ).
cnf(1387,plain,
equidistant(extension(u1,v1,v,w),w1,w,w),
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,117,segment_construction2,116,115,segment_construction1,v_between_u_and_w,1215]) ).
cnf(7277,plain,
~ equidistant(extension(u1,v1,X,Y),w1,Z,Z),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,149]) ).
cnf(7278,plain,
$false,
inference('REWRITE',[status(thm)],[1387,7277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO049-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 10:03:44 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.21/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 *
% 0.21/0.51 *
% 0.21/0.52 #<PACKAGE "SNARK-USER">
% 0.21/0.52 *
% 0.21/0.52 SNARK-TPTP-OPTIONS
% 0.21/0.52 *
% 0.21/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52 (USE-FACTORING :POS)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52 *
% 0.21/0.52 "."
% 0.21/0.52 *
% 0.21/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:03:44
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T10:03:44
% 0.21/0.55
% 44.22/44.42 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 44.22/44.42
% 44.22/44.42 #||
% 44.22/44.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.22/44.42 % SZS output start Refutation
% See solution above
% 44.22/44.42 ||#
% 44.22/44.42
% 44.22/44.42 ; Summary of computation:
% 44.22/44.42 ; 61452 formulas have been input or derived (from 177 formulas).
% 44.22/44.42 ; 7278 (12%) were retained. Of these,
% 44.22/44.42 ; 677 ( 9%) were simplified or subsumed later,
% 44.22/44.42 ; 6601 (91%) are still being kept.
% 44.22/44.42 ;
% 44.22/44.42 ; Run time in seconds excluding printing time:
% 44.22/44.42 ; 0.018 0% Read assertion file (1 call)
% 44.22/44.42 ; 0.003 0% Assert (80 calls)
% 44.22/44.42 ; 0.614 1% Process new row (46,284 calls)
% 44.22/44.42 ; 42.052 96% Resolution (352 calls)
% 44.22/44.42 ; 0.001 0% Paramodulation (176 calls)
% 44.22/44.42 ; 0.000 0% Factoring (1 call)
% 44.22/44.42 ; 0.007 0% Condensing (792 calls)
% 44.22/44.42 ; 0.098 0% Forward subsumption (792 calls)
% 44.22/44.42 ; 0.027 0% Backward subsumption (699 calls)
% 44.22/44.42 ; 0.030 0% Clause clause subsumption (11,901 calls)
% 44.22/44.42 ; 0.717 2% Forward simplification (46,284 calls)
% 44.22/44.42 ; 0.184 0% Backward simplification (7,272 calls)
% 44.22/44.42 ; 0.008 0% Ordering (2,059 calls)
% 44.22/44.42 ; 0.000 0% Sortal reasoning (32 calls)
% 44.22/44.42 ; 0.000 0% Purity testing (1 call)
% 44.22/44.42 ; 0.136 0% Other
% 44.22/44.42 ; 43.895 Total
% 44.22/44.42 ; 43.898 Real time
% 44.25/44.42 ;
% 44.25/44.42 ; Term-hash-array has 12,078 terms in all.
% 44.25/44.42 ; Feature-vector-row-index has 691 entries (691 at peak, 699 added, 8 deleted).
% 44.25/44.42 ; Feature-vector-row-index has 4,180 nodes (4,180 at peak, 4,224 added, 44 deleted).
% 44.25/44.42 ; Retrieved 10,915 possibly forward subsuming rows in 792 calls.
% 44.25/44.42 ; Retrieved 1,732 possibly backward subsumed rows in 699 calls.
% 44.25/44.42 ; Path-index has 11,130 entries (11,131 at peak, 12,349 added, 1,219 deleted).
% 44.25/44.42 ; Path-index has 7,065 nodes (7,065 at peak, 7,217 added, 152 deleted).
% 44.25/44.42 ; Trie-index has 11,130 entries (11,131 at peak, 12,349 added, 1,219 deleted).
% 44.25/44.42 ; Trie-index has 81,210 nodes (81,213 at peak, 88,959 added, 7,749 deleted).
% 44.25/44.42 ; Retrieved 296,102 generalization terms in 118,943 calls.
% 44.25/44.42 ; Retrieved 10,048 instance terms in 6,572 calls.
% 44.25/44.42 ; Retrieved 119,058,555 unifiable terms in 550,969 calls.
% 44.25/44.42 ;
% 44.25/44.42 ; The agenda of rows to process has 497 entries:
% 44.25/44.42 ; 2 with value 13 12 with value 29 1 with value 45
% 44.25/44.42 ; 2 with value 14 25 with value 30 8 with value 46
% 44.25/44.42 ; 4 with value 15 17 with value 31 8 with value 47
% 44.25/44.42 ; 6 with value 16 4 with value 32 1 with value 48
% 44.25/44.42 ; 21 with value 17 17 with value 33 5 with value 50
% 44.25/44.42 ; 6 with value 18 17 with value 34 2 with value 51
% 44.25/44.42 ; 10 with value 19 23 with value 35 8 with value 52
% 44.25/44.42 ; 15 with value 20 5 with value 36 6 with value 54
% 44.25/44.42 ; 11 with value 21 9 with value 37 1 with value 55
% 44.25/44.42 ; 18 with value 22 5 with value 38 9 with value 56
% 44.25/44.42 ; 4 with value 23 23 with value 39 7 with value 58
% 44.25/44.42 ; 76 with value 24 3 with value 40 7 with value 60
% 44.25/44.42 ; 11 with value 25 5 with value 41 3 with value 62
% 44.25/44.42 ; 45 with value 26 6 with value 42 3 with value 64
% 44.25/44.42 ; 4 with value 27 13 with value 43 1 with value 68
% 44.25/44.42 ; 7 with value 28 1 with value 44
% 44.25/44.42 ; The agenda of rows to give has 6424 entries:
% 44.25/44.42 ; 126 with value (4 10) 27 with value (4 38) 5 with value (4 65)
% 44.25/44.42 ; 161 with value (4 11) 58 with value (4 39) 6 with value (4 66)
% 44.25/44.42 ; 214 with value (4 12) 28 with value (4 40) 3 with value (4 67)
% 44.25/44.42 ; 251 with value (4 13) 63 with value (4 41) 1 with value (4 68)
% 44.25/44.42 ; 157 with value (4 14) 38 with value (4 42) 4 with value (4 69)
% 44.25/44.42 ; 206 with value (4 15) 54 with value (4 43) 4 with value (4 70)
% 44.25/44.42 ; 244 with value (4 16) 18 with value (4 44) 1 with value (4 71)
% 44.25/44.42 ; 210 with value (4 17) 50 with value (4 45) 5 with value (4 72)
% 44.25/44.42 ; 309 with value (4 18) 44 with value (4 46) 1 with value (4 73)
% 44.25/44.42 ; 250 with value (4 19) 70 with value (4 47) 2 with value (4 74)
% 44.25/44.42 ; 329 with value (4 20) 44 with value (4 48) 2 with value (4 75)
% 44.25/44.42 ; 455 with value (4 21) 18 with value (4 49) 5 with value (4 76)
% 44.25/44.42 ; 298 with value (4 22) 21 with value (4 50) 4 with value (4 77)
% 44.25/44.42 ; 321 with value (4 23) 60 with value (4 51) 6 with value (4 78)
% 44.25/44.42 ; 239 with value (4 24) 21 with value (4 52) 1 with value (4 81)
% 44.25/44.42 ; 215 with value (4 25) 7 with value (4 53) 2 with value (4 82)
% 44.25/44.42 ; 301 with value (4 26) 12 with value (4 54) 1 with value (4 84)
% 44.25/44.42 ; 154 with value (4 27) 20 with value (4 55) 2 with value (4 85)
% 44.25/44.42 ; 287 with value (4 28) 8 with value (4 56) 1 with value (4 87)
% 44.25/44.42 ; 112 with value (4 29) 13 with value (4 57) 1 with value (4 88)
% 44.25/44.42 ; 169 with value (4 30) 11 with value (4 58) 2 with value (4 90)
% 44.25/44.42 ; 95 with value (4 31) 4 with value (4 59) 1 with value (4 91)
% 44.25/44.42 ; 208 with value (4 32) 4 with value (4 60) 2 with value (4 92)
% 44.25/44.42 ; 70 with value (4 33) 4 with value (4 61) 1 with value (4 95)
% 44.25/44.42 ; 118 with value (4 34) 14 with value (4 62) 1 with value (4 102)
% 44.25/44.42 ; 58 with value (4 35) 3 with value (4 63) 1 with value (4 108)
% 44.25/44.42 ; 44 with value (4 36) 3 with value (4 64) 1 with value (4 111)
% 44.25/44.42 ; 40 with value (4 37)
% 44.25/44.42 Evaluation took:
% 44.25/44.42 43.9 seconds of real time
% 44.25/44.42 43.421696 seconds of user run time
% 44.25/44.42 0.476607 seconds of system run time
% 44.25/44.42 [Run times include 1.588 seconds GC run time.]
% 44.25/44.42 0 calls to %EVAL
% 44.25/44.42 0 page faults and
% 44.25/44.42 1,635,335,768 bytes consed.
% 44.25/44.42 :PROOF-FOUND
% 44.25/44.42 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:04:28
% 44.25/44.42 :PROOF-FOUND
% 44.25/44.42 *
%------------------------------------------------------------------------------