%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO065-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 06:13:35 EDT 2022
% Result : Unsatisfiable 2.54s 2.72s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 23 ( 4 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 33 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
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(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(Y,inner_pasch(X,Y,Z,V,U),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(V,inner_pasch(X,Y,Z,V,U),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(colinearity2,axiom,
( ~ between(X,Y,Z)
| colinear(Z,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(w_between_u_and_v,hypothesis,
between(u,w,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_v) ).
cnf(prove_uvw_colinear,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).
cnf(29,plain,
~ between(v,w,u),
inference('UR-RESOLVE',[status(thm)],[colinearity2,prove_uvw_colinear]) ).
cnf(34,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(69,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,34,theory(equality)]) ).
cnf(74,plain,
between(w,inner_pasch(X,v,v,w,u),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,69,w_between_u_and_v]) ).
cnf(76,plain,
between(v,inner_pasch(X,v,v,w,u),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,69,w_between_u_and_v]) ).
cnf(273,plain,
w = inner_pasch(w,v,v,w,u),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,74]) ).
cnf(1800,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[76,273,theory(equality)]),29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO065-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n007.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Fri Jun 17 22:02:12 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 *
% 0.10/0.38 *
% 0.10/0.39 #<PACKAGE "SNARK-USER">
% 0.10/0.39 *
% 0.10/0.39 SNARK-TPTP-OPTIONS
% 0.10/0.39 *
% 0.10/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.39 (USE-FACTORING :POS)
% 0.10/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.39 *
% 0.10/0.39 "."
% 0.10/0.39 *
% 0.10/0.39 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T22:02:12
% 0.10/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-17T22:02:12
% 2.54/2.72
% 2.54/2.72
% 2.54/2.72 #||
% 2.54/2.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/2.72 % SZS output start Refutation
% See solution above
% 2.54/2.72 ||#
% 2.54/2.72
% 2.54/2.72 ; Summary of computation:
% 2.54/2.72 ; 7338 formulas have been input or derived (from 64 formulas).
% 2.54/2.72 ; 1800 (25%) were retained. Of these,
% 2.54/2.72 ; 159 ( 9%) were simplified or subsumed later,
% 2.54/2.72 ; 1641 (91%) are still being kept.
% 2.54/2.72 ;
% 2.54/2.72 ; Run time in seconds excluding printing time:
% 2.54/2.72 ; 0.007 0% Read assertion file (1 call)
% 2.54/2.72 ; 0.000 0% Assert (24 calls)
% 2.54/2.72 ; 0.181 8% Process new row (6,472 calls)
% 2.54/2.72 ; 1.632 70% Resolution (126 calls)
% 2.54/2.72 ; 0.000 0% Paramodulation (63 calls)
% 2.54/2.72 ; 0.006 0% Condensing (924 calls)
% 2.54/2.72 ; 0.104 4% Forward subsumption (924 calls)
% 2.54/2.72 ; 0.066 3% Backward subsumption (701 calls)
% 2.54/2.72 ; 0.059 3% Clause clause subsumption (30,911 calls)
% 2.54/2.72 ; 0.187 8% Forward simplification (6,472 calls)
% 2.54/2.72 ; 0.032 1% Backward simplification (1,800 calls)
% 2.54/2.72 ; 0.001 0% Ordering (813 calls)
% 2.54/2.72 ; 0.000 0% Sortal reasoning (32 calls)
% 2.54/2.72 ; 0.000 0% Purity testing (1 call)
% 2.54/2.72 ; 0.053 2% Other
% 2.54/2.72 ; 2.328 Total
% 2.54/2.72 ; 2.330 Real time
% 2.54/2.72 ;
% 2.54/2.72 ; Term-hash-array has 3,817 terms in all.
% 2.54/2.72 ; Feature-vector-row-index has 574 entries (574 at peak, 701 added, 127 deleted).
% 2.54/2.72 ; Feature-vector-row-index has 1,417 nodes (1,450 at peak, 2,083 added, 666 deleted).
% 2.54/2.72 ; Retrieved 23,185 possibly forward subsuming rows in 924 calls.
% 2.54/2.72 ; Retrieved 11,808 possibly backward subsumed rows in 701 calls.
% 2.54/2.72 ; Path-index has 3,635 entries (3,635 at peak, 4,030 added, 395 deleted).
% 2.54/2.72 ; Path-index has 4,515 nodes (4,515 at peak, 4,743 added, 228 deleted).
% 2.54/2.72 ; Trie-index has 3,635 entries (3,635 at peak, 4,030 added, 395 deleted).
% 2.54/2.72 ; Trie-index has 29,386 nodes (29,386 at peak, 32,017 added, 2,631 deleted).
% 2.54/2.72 ; Retrieved 60,027 generalization terms in 25,093 calls.
% 2.54/2.72 ; Retrieved 4,719 instance terms in 1,098 calls.
% 2.54/2.72 ; Retrieved 3,819,077 unifiable terms in 66,305 calls.
% 2.54/2.72 ;
% 2.54/2.72 ; The agenda of rows to process has 1 entry:
% 2.54/2.72 ; 1 with value 10
% 2.54/2.72 ; The agenda of rows to give has 1577 entries:
% 2.54/2.72 ; 3 with value (4 14) 7 with value (4 35) 1 with value (4 58)
% 2.54/2.72 ; 20 with value (4 15) 74 with value (4 36) 2 with value (4 59)
% 2.54/2.72 ; 4 with value (4 16) 36 with value (4 37) 36 with value (4 60)
% 2.54/2.72 ; 3 with value (4 17) 21 with value (4 38) 56 with value (4 61)
% 2.54/2.72 ; 20 with value (4 18) 18 with value (4 39) 17 with value (4 62)
% 2.54/2.72 ; 16 with value (4 19) 25 with value (4 40) 3 with value (4 63)
% 2.54/2.72 ; 4 with value (4 20) 130 with value (4 41) 1 with value (4 64)
% 2.54/2.72 ; 29 with value (4 21) 5 with value (4 42) 27 with value (4 65)
% 2.54/2.72 ; 9 with value (4 22) 9 with value (4 43) 1 with value (4 67)
% 2.54/2.72 ; 9 with value (4 23) 2 with value (4 44) 76 with value (4 69)
% 2.54/2.72 ; 9 with value (4 24) 16 with value (4 45) 4 with value (4 72)
% 2.54/2.72 ; 11 with value (4 25) 46 with value (4 46) 56 with value (4 73)
% 2.54/2.72 ; 27 with value (4 26) 16 with value (4 47) 56 with value (4 77)
% 2.54/2.72 ; 11 with value (4 27) 3 with value (4 48) 1 with value (4 79)
% 2.54/2.72 ; 25 with value (4 28) 57 with value (4 49) 35 with value (4 80)
% 2.54/2.72 ; 9 with value (4 29) 44 with value (4 50) 16 with value (4 86)
% 2.54/2.72 ; 27 with value (4 30) 6 with value (4 51) 4 with value (4 90)
% 2.54/2.72 ; 130 with value (4 31) 39 with value (4 53) 40 with value (4 94)
% 2.54/2.72 ; 46 with value (4 32) 20 with value (4 54) 16 with value (4 114)
% 2.54/2.72 ; 30 with value (4 33) 72 with value (4 55) 32 with value (4 118)
% 2.54/2.72 ; 3 with value (4 34) 6 with value (4 56)
% 2.54/2.72 Evaluation took:
% 2.54/2.72 2.33 seconds of real time
% 2.54/2.72 2.211441 seconds of user run time
% 2.54/2.72 0.118927 seconds of system run time
% 2.54/2.72 [Run times include 0.129 seconds GC run time.]
% 2.54/2.72 0 calls to %EVAL
% 2.54/2.72 0 page faults and
% 2.54/2.72 154,385,872 bytes consed.
% 2.54/2.72 :PROOF-FOUND
% 2.54/2.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T22:02:15
% 2.54/2.72 :PROOF-FOUND
% 2.54/2.72 *
%------------------------------------------------------------------------------