TSTP Solution File: GEO205+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO205+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:14:55 EDT 2022
% Result : Theorem 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 16 unt; 5 nHn; 21 RR)
% Number of literals : 41 ( 0 equ; 22 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
cnf(3,axiom,
~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
cnf(5,axiom,
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
cnf(11,axiom,
( ~ distinct_points(X,Y)
| ~ distinct_lines(Z,U)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,U)
| apart_point_and_line(Y,Z)
| apart_point_and_line(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
cnf(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
cnf(14,axiom,
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
cnf(15,axiom,
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
cnf(17,axiom,
~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
cnf(35,axiom,
( equal_points(X,Y)
| distinct_points(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax1) ).
cnf(36,axiom,
( ~ equal_lines(X,Y)
| ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
cnf(44,negated_conjecture,
convergent_lines('SKOLEMAAAP1','SKOLEMAAAP2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(45,negated_conjecture,
equal_lines('SKOLEMAAAP2','SKOLEMAAAP3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(46,negated_conjecture,
( ~ convergent_lines('SKOLEMAAAP1','SKOLEMAAAP3')
| ~ equal_points(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),intersection_point('SKOLEMAAAP1','SKOLEMAAAP3')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
cnf(47,plain,
~ distinct_lines(parallel_through_point(X,Y),X),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(52,plain,
~ distinct_lines('SKOLEMAAAP2','SKOLEMAAAP3'),
inference('UR-RESOLVE',[status(thm)],[36,45]) ).
cnf(66,plain,
distinct_lines('SKOLEMAAAP2','SKOLEMAAAP1'),
inference('UR-RESOLVE',[status(thm)],[14,44,3]) ).
cnf(79,plain,
convergent_lines('SKOLEMAAAP1','SKOLEMAAAP3'),
inference('UR-RESOLVE',[status(thm)],[14,52,44]) ).
cnf(80,plain,
~ equal_points(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),intersection_point('SKOLEMAAAP1','SKOLEMAAAP3')),
inference('REWRITE',[status(thm)],[46,79]) ).
cnf(83,plain,
distinct_points(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),intersection_point('SKOLEMAAAP1','SKOLEMAAAP3')),
inference('HYPERRESOLVE',[status(thm)],[80,35]) ).
cnf(143,plain,
~ distinct_lines(X,parallel_through_point(X,Y)),
inference('UR-RESOLVE',[status(thm)],[5,47,2]) ).
cnf(228,plain,
~ apart_point_and_line(X,Y),
inference('UR-RESOLVE',[status(thm)],[13,143,17]) ).
cnf(232,plain,
( ~ distinct_points(X,Y)
| ~ distinct_lines(Z,U) ),
inference('REWRITE',[status(thm)],[11,228]) ).
cnf(238,plain,
~ distinct_points(X,Y),
inference('UR-RESOLVE',[status(thm)],[232,66]) ).
cnf(239,plain,
$false,
inference('REWRITE',[status(thm)],[83,238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO205+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Fri Jun 17 23:56:16 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.39 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:56:16
% 0.13/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-17T23:56:16
% 0.13/0.44
% 0.13/0.44
% 0.13/0.44 #||
% 0.13/0.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.44 % SZS output start Refutation
% See solution above
% 0.13/0.44 ||#
% 0.13/0.44
% 0.13/0.44 ; Summary of computation:
% 0.13/0.44 ; 629 formulas have been input or derived (from 104 formulas).
% 0.13/0.44 ; 239 (38%) were retained. Of these,
% 0.13/0.44 ; 66 (28%) were simplified or subsumed later,
% 0.13/0.44 ; 173 (72%) are still being kept.
% 0.13/0.44 ;
% 0.13/0.44 ; Run time in seconds excluding printing time:
% 0.13/0.44 ; 0.007 12% Read assertion file (1 call)
% 0.13/0.44 ; 0.001 2% Assert (36 calls)
% 0.13/0.44 ; 0.008 14% Process new row (599 calls)
% 0.13/0.44 ; 0.013 22% Resolution (206 calls)
% 0.13/0.44 ; 0.000 0% Paramodulation (103 calls)
% 0.13/0.44 ; 0.000 0% Factoring (9 calls)
% 0.13/0.44 ; 0.000 0% Condensing (115 calls)
% 0.13/0.44 ; 0.000 0% Forward subsumption (115 calls)
% 0.13/0.44 ; 0.000 0% Backward subsumption (95 calls)
% 0.13/0.45 ; 0.001 2% Clause clause subsumption (290 calls)
% 0.13/0.45 ; 0.005 9% Forward simplification (599 calls)
% 0.13/0.45 ; 0.003 5% Backward simplification (239 calls)
% 0.13/0.45 ; 0.000 0% Ordering (168 calls)
% 0.13/0.45 ; 0.001 2% Sortal reasoning (32 calls)
% 0.13/0.45 ; 0.000 0% Purity testing (1 call)
% 0.13/0.45 ; 0.019 33% Other
% 0.13/0.45 ; 0.058 Total
% 0.13/0.45 ; 0.060 Real time
% 0.13/0.45 ;
% 0.13/0.45 ; Term-hash-array has 245 terms in all.
% 0.13/0.45 ; Feature-vector-row-index has 67 entries (85 at peak, 95 added, 28 deleted).
% 0.13/0.45 ; Feature-vector-row-index has 93 nodes (140 at peak, 161 added, 68 deleted).
% 0.13/0.45 ; Retrieved 215 possibly forward subsuming rows in 115 calls.
% 0.13/0.45 ; Retrieved 94 possibly backward subsumed rows in 95 calls.
% 0.13/0.45 ; Path-index has 178 entries (238 at peak, 255 added, 77 deleted).
% 0.13/0.45 ; Path-index has 365 nodes (417 at peak, 426 added, 61 deleted).
% 0.13/0.45 ; Trie-index has 178 entries (238 at peak, 255 added, 77 deleted).
% 0.13/0.45 ; Trie-index has 384 nodes (476 at peak, 503 added, 119 deleted).
% 0.13/0.45 ; Retrieved 909 generalization terms in 895 calls.
% 0.13/0.45 ; Retrieved 215 instance terms in 143 calls.
% 0.13/0.45 ; Retrieved 8,681 unifiable terms in 1,696 calls.
% 0.13/0.45 ;
% 0.13/0.45 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.13/0.45 ; 1 with value 0
% 0.13/0.45 ; The agenda of rows to process has 2 entries:
% 0.13/0.45 ; 1 with value 7 1 with value 8
% 0.13/0.45 ; The agenda of input rows to give has 1 entry:
% 0.13/0.45 ; 1 with value 12
% 0.13/0.45 ; The agenda of rows to give has 96 entries:
% 0.13/0.45 ; 1 with value (4 6) 10 with value (4 11) 5 with value (4 15)
% 0.13/0.45 ; 1 with value (4 7) 12 with value (4 12) 5 with value (4 16)
% 0.13/0.45 ; 14 with value (4 9) 14 with value (4 13) 5 with value (4 18)
% 0.13/0.45 ; 19 with value (4 10) 10 with value (4 14)
% 0.13/0.45 Evaluation took:
% 0.13/0.45 0.06 seconds of real time
% 0.13/0.45 0.048495 seconds of user run time
% 0.13/0.45 0.01189 seconds of system run time
% 0.13/0.45 0 calls to %EVAL
% 0.13/0.45 0 page faults and
% 0.13/0.45 5,502,928 bytes consed.
% 0.13/0.45 :PROOF-FOUND
% 0.13/0.45 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:56:16
% 0.13/0.45 :PROOF-FOUND
% 0.13/0.45 *
%------------------------------------------------------------------------------