%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 06:12:56 EDT 2022
% Result : Unsatisfiable 2.29s 2.55s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(outer_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,Z,V)
| between(X,outer_pasch(Y,X,U,V,Z),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
cnf(outer_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,Z,V)
| between(V,Y,outer_pasch(Y,X,U,V,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(b_between_a_and_c,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
cnf(prove_b_between_c_and_a,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
cnf(23,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(84,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,23,theory(equality)]) ).
cnf(90,plain,
between(c,b,outer_pasch(b,X,a,c,b)),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch2,84,b_between_a_and_c]) ).
cnf(92,plain,
between(X,outer_pasch(b,X,a,c,b),a),
inference('HYPERRESOLVE',[status(thm)],[outer_pasch1,84,b_between_a_and_c]) ).
cnf(396,plain,
a = outer_pasch(b,a,a,c,b),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,92]) ).
cnf(1365,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[90,396,theory(equality)]),prove_b_between_c_and_a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 13:13:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:13:04
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T13:13:04
% 2.29/2.55
% 2.29/2.55
% 2.29/2.55 #||
% 2.29/2.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/2.55 % SZS output start Refutation
% See solution above
% 2.29/2.55 ||#
% 2.29/2.55
% 2.29/2.55 ; Summary of computation:
% 2.29/2.55 ; 6911 formulas have been input or derived (from 77 formulas).
% 2.29/2.55 ; 1365 (20%) were retained. Of these,
% 2.29/2.55 ; 140 (10%) were simplified or subsumed later,
% 2.29/2.55 ; 1225 (90%) are still being kept.
% 2.29/2.55 ;
% 2.29/2.55 ; Run time in seconds:
% 2.29/2.55 ; 0.006 0% Read assertion file (1 call)
% 2.29/2.55 ; 0.001 0% Assert (22 calls)
% 2.29/2.55 ; 0.164 8% Process new row (5,813 calls)
% 2.29/2.55 ; 1.574 76% Resolution (152 calls)
% 2.29/2.55 ; 0.001 0% Paramodulation (76 calls)
% 2.29/2.55 ; 0.009 0% Condensing (788 calls)
% 2.29/2.55 ; 0.072 3% Forward subsumption (788 calls)
% 2.29/2.55 ; 0.033 2% Backward subsumption (605 calls)
% 2.29/2.55 ; 0.019 1% Clause clause subsumption (15,802 calls)
% 2.29/2.55 ; 0.135 6% Forward simplification (5,813 calls)
% 2.29/2.55 ; 0.027 1% Backward simplification (1,365 calls)
% 2.29/2.55 ; 0.000 0% Ordering (783 calls)
% 2.29/2.55 ; 0.000 0% Sortal reasoning (32 calls)
% 2.29/2.55 ; 0.000 0% Purity testing (1 call)
% 2.29/2.55 ; 0.042 2% Other
% 2.29/2.55 ; 2.083 Total
% 2.29/2.55 ; 2.083 Real time
% 2.29/2.55 ;
% 2.29/2.55 ; Term-hash-array has 2,871 terms in all.
% 2.29/2.55 ; Feature-vector-row-index has 496 entries (496 at peak, 605 added, 109 deleted).
% 2.29/2.55 ; Feature-vector-row-index has 1,926 nodes (1,944 at peak, 2,531 added, 605 deleted).
% 2.29/2.55 ; Retrieved 12,181 possibly forward subsuming rows in 788 calls.
% 2.29/2.55 ; Retrieved 5,777 possibly backward subsumed rows in 605 calls.
% 2.29/2.55 ; Path-index has 2,709 entries (2,709 at peak, 3,038 added, 329 deleted).
% 2.29/2.55 ; Path-index has 4,959 nodes (4,959 at peak, 5,224 added, 265 deleted).
% 2.29/2.55 ; Trie-index has 2,709 entries (2,709 at peak, 3,038 added, 329 deleted).
% 2.29/2.55 ; Trie-index has 21,250 nodes (21,250 at peak, 23,315 added, 2,065 deleted).
% 2.29/2.55 ; Retrieved 42,398 generalization terms in 21,946 calls.
% 2.29/2.55 ; Retrieved 2,000 instance terms in 759 calls.
% 2.29/2.55 ; Retrieved 3,333,618 unifiable terms in 74,040 calls.
% 2.29/2.55 ;
% 2.29/2.55 ; The agenda of rows to give has 1149 entries:
% 2.29/2.55 ; 2 with value (4 14) 15 with value (4 35) 33 with value (4 55)
% 2.29/2.55 ; 12 with value (4 15) 45 with value (4 36) 3 with value (4 56)
% 2.29/2.55 ; 14 with value (4 16) 24 with value (4 37) 28 with value (4 57)
% 2.29/2.55 ; 11 with value (4 17) 38 with value (4 38) 30 with value (4 59)
% 2.29/2.55 ; 28 with value (4 18) 11 with value (4 39) 18 with value (4 60)
% 2.29/2.55 ; 27 with value (4 19) 23 with value (4 40) 12 with value (4 62)
% 2.29/2.55 ; 12 with value (4 20) 71 with value (4 41) 3 with value (4 63)
% 2.29/2.55 ; 29 with value (4 21) 15 with value (4 42) 2 with value (4 64)
% 2.29/2.55 ; 6 with value (4 22) 48 with value (4 43) 12 with value (4 65)
% 2.29/2.55 ; 25 with value (4 23) 2 with value (4 44) 3 with value (4 67)
% 2.29/2.55 ; 9 with value (4 24) 17 with value (4 45) 4 with value (4 68)
% 2.29/2.55 ; 27 with value (4 25) 41 with value (4 46) 3 with value (4 69)
% 2.29/2.55 ; 35 with value (4 26) 19 with value (4 47) 4 with value (4 72)
% 2.29/2.55 ; 9 with value (4 27) 3 with value (4 48) 2 with value (4 74)
% 2.29/2.55 ; 20 with value (4 28) 38 with value (4 49) 8 with value (4 76)
% 2.29/2.55 ; 11 with value (4 29) 31 with value (4 50) 3 with value (4 77)
% 2.29/2.55 ; 35 with value (4 30) 35 with value (4 51) 8 with value (4 78)
% 2.29/2.55 ; 21 with value (4 31) 3 with value (4 52) 12 with value (4 80)
% 2.29/2.55 ; 30 with value (4 32) 45 with value (4 53) 8 with value (4 82)
% 2.29/2.55 ; 28 with value (4 33) 18 with value (4 54) 3 with value (4 92)
% 2.29/2.55 ; 17 with value (4 34)
% 2.29/2.55 Evaluation took:
% 2.29/2.55 2.084 seconds of real time
% 2.29/2.55 2.029543 seconds of user run time
% 2.29/2.55 0.054341 seconds of system run time
% 2.29/2.55 [Run times include 0.084 seconds GC run time.]
% 2.29/2.55 0 calls to %EVAL
% 2.29/2.55 0 page faults and
% 2.29/2.55 130,156,264 bytes consed.
% 2.29/2.55 :PROOF-FOUND
% 2.29/2.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:13:06
% 2.29/2.55 :PROOF-FOUND
% 2.29/2.55 *
%------------------------------------------------------------------------------