TSTP Solution File: GEO068-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO068-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:13:37 EDT 2022
% Result : Unsatisfiable 3.65s 3.83s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 15 unt; 3 nHn; 24 RR)
% Number of literals : 39 ( 0 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(colinearity1,axiom,
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(colinearity2,axiom,
( ~ between(X,Y,Z)
| colinear(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(colinearity3,axiom,
( ~ between(X,Y,Z)
| colinear(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(colinearity4,axiom,
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,Z,X)
| between(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(d4_2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Y,X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
cnf(t1,axiom,
( ~ between(X,Y,Z)
| between(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(b11,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(Y,V,U,W)
| ~ equidistant(X,V,Z,W)
| ~ between(X,Y,V)
| between(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b11) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
cnf(uvw_colinear,hypothesis,
colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uvw_colinear) ).
cnf(prove_u1v1w1_colinear,negated_conjecture,
~ colinear(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u1v1w1_colinear) ).
cnf(118,plain,
~ between(u1,v1,w1),
inference('UR-RESOLVE',[status(thm)],[colinearity1,prove_u1v1w1_colinear]) ).
cnf(124,plain,
~ between(u1,w1,v1),
inference('UR-RESOLVE',[status(thm)],[colinearity2,prove_u1v1w1_colinear]) ).
cnf(128,plain,
~ between(w1,u1,v1),
inference('UR-RESOLVE',[status(thm)],[colinearity3,prove_u1v1w1_colinear]) ).
cnf(165,plain,
equidistant(w,v,w1,v1),
inference('HYPERRESOLVE',[status(thm)],[d4_2,v_to_w_equals_v1_to_w1]) ).
cnf(166,plain,
equidistant(w,u,w1,u1),
inference('HYPERRESOLVE',[status(thm)],[d4_2,u_to_w_equals_u1_to_w1]) ).
cnf(298,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference('HYPERRESOLVE',[status(thm)],[colinearity4,uvw_colinear]) ).
cnf(1204,plain,
~ between(u,v,w),
inference('UR-RESOLVE',[status(thm)],[b11,118,u_to_v_equals_u1_to_v1,v_to_w_equals_v1_to_w1,u_to_w_equals_u1_to_w1]) ).
cnf(1205,plain,
( between(v,w,u)
| between(w,u,v) ),
inference('REWRITE',[status(thm)],[298,1204]) ).
cnf(1614,plain,
~ between(u,w,v),
inference('UR-RESOLVE',[status(thm)],[b11,165,u_to_w_equals_u1_to_w1,u_to_v_equals_u1_to_v1,124]) ).
cnf(1634,plain,
~ between(w,u,v),
inference('UR-RESOLVE',[status(thm)],[b11,166,u_to_v_equals_u1_to_v1,165,128]) ).
cnf(1635,plain,
between(v,w,u),
inference('REWRITE',[status(thm)],[1205,1634]) ).
cnf(1654,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[t1,1635]),1614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO068-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 10:40:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:40:32
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T10:40:32
% 0.19/0.51
% 0.19/0.51 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.19/0.51 ; Recognized commutativity assertion (OR (NOT (|colinear| ?X ?Y ?Z)) (|colinear| ?Y ?X ?Z)).
% 3.65/3.83 ; Declaring colinear to be commutative.
% 3.65/3.83
% 3.65/3.83 #||
% 3.65/3.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.65/3.83 % SZS output start Refutation
% See solution above
% 3.65/3.83 ||#
% 3.65/3.83
% 3.65/3.83 ; Summary of computation:
% 3.65/3.83 ; 15708 formulas have been input or derived (from 134 formulas).
% 3.65/3.83 ; 1654 (11%) were retained. Of these,
% 3.65/3.83 ; 98 ( 6%) were simplified or subsumed later,
% 3.65/3.83 ; 1556 (94%) are still being kept.
% 3.65/3.83 ;
% 3.65/3.83 ; Run time in seconds excluding printing time:
% 3.65/3.83 ; 0.023 1% Read assertion file (1 call)
% 3.65/3.83 ; 0.004 0% Assert (105 calls)
% 3.65/3.83 ; 0.118 4% Process new row (10,593 calls)
% 3.65/3.83 ; 2.985 89% Resolution (266 calls)
% 3.65/3.83 ; 0.000 0% Paramodulation (133 calls)
% 3.65/3.83 ; 0.000 0% Factoring (1 call)
% 3.65/3.83 ; 0.004 0% Condensing (260 calls)
% 3.65/3.83 ; 0.013 0% Forward subsumption (260 calls)
% 3.65/3.83 ; 0.003 0% Backward subsumption (233 calls)
% 3.65/3.83 ; 0.012 0% Clause clause subsumption (1,567 calls)
% 3.65/3.83 ; 0.119 4% Forward simplification (10,593 calls)
% 3.65/3.83 ; 0.021 1% Backward simplification (1,648 calls)
% 3.65/3.83 ; 0.000 0% Ordering (570 calls)
% 3.65/3.83 ; 0.001 0% Sortal reasoning (32 calls)
% 3.65/3.83 ; 0.000 0% Purity testing (1 call)
% 3.65/3.83 ; 0.056 2% Other
% 3.65/3.83 ; 3.359 Total
% 3.65/3.83 ; 3.361 Real time
% 3.65/3.83 ;
% 3.65/3.83 ; Term-hash-array has 2,845 terms in all.
% 3.65/3.83 ; Feature-vector-row-index has 227 entries (227 at peak, 233 added, 6 deleted).
% 3.65/3.83 ; Feature-vector-row-index has 936 nodes (936 at peak, 947 added, 11 deleted).
% 3.65/3.83 ; Retrieved 1,413 possibly forward subsuming rows in 260 calls.
% 3.65/3.83 ; Retrieved 286 possibly backward subsumed rows in 233 calls.
% 3.65/3.83 ; Path-index has 2,717 entries (2,717 at peak, 2,873 added, 156 deleted).
% 3.65/3.83 ; Path-index has 3,207 nodes (3,207 at peak, 3,318 added, 111 deleted).
% 3.65/3.83 ; Trie-index has 2,717 entries (2,717 at peak, 2,873 added, 156 deleted).
% 3.65/3.83 ; Trie-index has 14,448 nodes (14,448 at peak, 15,026 added, 578 deleted).
% 3.65/3.83 ; Retrieved 55,571 generalization terms in 21,338 calls.
% 3.65/3.83 ; Retrieved 1,999 instance terms in 1,414 calls.
% 3.65/3.83 ; Retrieved 6,926,813 unifiable terms in 122,282 calls.
% 3.65/3.83 ;
% 3.65/3.83 ; The agenda of rows to process has 311 entries:
% 3.65/3.83 ; 39 with value 7 3 with value 20 14 with value 36
% 3.65/3.83 ; 43 with value 8 4 with value 21 1 with value 40
% 3.65/3.83 ; 9 with value 10 17 with value 22 1 with value 42
% 3.65/3.83 ; 10 with value 11 1 with value 24 2 with value 46
% 3.65/3.83 ; 25 with value 12 3 with value 25 2 with value 48
% 3.65/3.83 ; 31 with value 13 5 with value 26 2 with value 52
% 3.65/3.83 ; 8 with value 14 2 with value 27 1 with value 54
% 3.65/3.83 ; 7 with value 15 3 with value 29 3 with value 58
% 3.65/3.83 ; 12 with value 16 1 with value 30 1 with value 66
% 3.65/3.83 ; 42 with value 17 4 with value 31 1 with value 70
% 3.65/3.83 ; 8 with value 18 1 with value 35 1 with value 78
% 3.65/3.83 ; 4 with value 19
% 3.65/3.83 ; The agenda of rows to give has 1422 entries:
% 3.65/3.83 ; 19 with value (4 7) 17 with value (4 29) 1 with value (4 52)
% 3.65/3.83 ; 20 with value (4 8) 28 with value (4 30) 5 with value (4 53)
% 3.65/3.83 ; 25 with value (4 9) 12 with value (4 31) 3 with value (4 55)
% 3.65/3.83 ; 63 with value (4 10) 18 with value (4 32) 1 with value (4 56)
% 3.65/3.83 ; 67 with value (4 11) 9 with value (4 33) 8 with value (4 57)
% 3.65/3.83 ; 127 with value (4 12) 21 with value (4 34) 4 with value (4 59)
% 3.65/3.83 ; 90 with value (4 13) 15 with value (4 35) 3 with value (4 61)
% 3.65/3.83 ; 53 with value (4 14) 6 with value (4 36) 2 with value (4 63)
% 3.65/3.83 ; 83 with value (4 15) 10 with value (4 38) 3 with value (4 65)
% 3.65/3.83 ; 70 with value (4 16) 6 with value (4 39) 1 with value (4 67)
% 3.65/3.83 ; 121 with value (4 17) 4 with value (4 40) 2 with value (4 69)
% 3.65/3.83 ; 87 with value (4 18) 4 with value (4 41) 1 with value (4 71)
% 3.65/3.83 ; 66 with value (4 19) 3 with value (4 42) 1 with value (4 73)
% 3.65/3.83 ; 27 with value (4 20) 2 with value (4 43) 2 with value (4 75)
% 3.65/3.83 ; 72 with value (4 21) 3 with value (4 44) 3 with value (4 77)
% 3.65/3.83 ; 40 with value (4 22) 4 with value (4 45) 1 with value (4 81)
% 3.65/3.83 ; 40 with value (4 23) 2 with value (4 46) 2 with value (4 85)
% 3.65/3.83 ; 25 with value (4 24) 6 with value (4 47) 1 with value (4 87)
% 3.65/3.83 ; 36 with value (4 25) 2 with value (4 48) 1 with value (4 91)
% 3.65/3.83 ; 33 with value (4 26) 2 with value (4 49) 1 with value (4 95)
% 3.65/3.83 ; 13 with value (4 27) 7 with value (4 51) 1 with value (4 111)
% 3.65/3.83 ; 17 with value (4 28)
% 3.65/3.83 Evaluation took:
% 3.65/3.83 3.361 seconds of real time
% 3.65/3.83 3.29406 seconds of user run time
% 3.65/3.83 0.066918 seconds of system run time
% 3.65/3.83 [Run times include 0.094 seconds GC run time.]
% 3.65/3.83 0 calls to %EVAL
% 3.65/3.83 0 page faults and
% 3.65/3.83 171,756,624 bytes consed.
% 3.65/3.83 :PROOF-FOUND
% 3.65/3.83 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:40:35
% 3.65/3.83 :PROOF-FOUND
% 3.65/3.83 *
%------------------------------------------------------------------------------