TSTP Solution File: GEO077-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO077-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 06:13:41 EDT 2022
% Result : Unsatisfiable 1.71s 1.94s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of clauses : 22 ( 17 unt; 5 nHn; 22 RR)
% Number of literals : 59 ( 18 equ; 28 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_G1D,axiom,
( ~ on(X,Y)
| X = Z
| ~ on(Z,Y)
| Y = U
| ~ on(X,U)
| ~ on(Z,U)
| ~ point(X)
| ~ point(Z)
| ~ line(Y)
| ~ line(U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1D) ).
cnf(axiom_G10A,axiom,
( ~ point(X)
| ~ point(Y)
| ~ point(Z)
| X = Y
| X = Z
| Y = Z
| on(X,line_through_3_points(X,Y,Z))
| ~ collinear(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G10A) ).
cnf(axiom_G10B,axiom,
( ~ point(X)
| ~ point(Y)
| ~ point(Z)
| X = Y
| X = Z
| Y = Z
| on(Y,line_through_3_points(X,Y,Z))
| ~ collinear(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G10B) ).
cnf(axiom_G10C,axiom,
( ~ point(X)
| ~ point(Y)
| ~ point(Z)
| X = Y
| X = Z
| Y = Z
| on(Z,line_through_3_points(X,Y,Z))
| ~ collinear(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G10C) ).
cnf(axiom_G10D,axiom,
( ~ point(X)
| ~ point(Y)
| ~ point(Z)
| X = Y
| X = Z
| Y = Z
| line(line_through_3_points(X,Y,Z))
| ~ collinear(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G10D) ).
cnf(point1,hypothesis,
point(point1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1) ).
cnf(point2,hypothesis,
point(point2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2) ).
cnf(point3,hypothesis,
point(point3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point3) ).
cnf(line,hypothesis,
line(a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).
cnf(point1_on_line,hypothesis,
on(point1,a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_on_line) ).
cnf(point2_on_line,hypothesis,
on(point2,a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2_on_line) ).
cnf(point3_not_on_line,hypothesis,
~ on(point3,a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point3_not_on_line) ).
cnf(point1_not_point2,hypothesis,
point1 != point2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_not_point2) ).
cnf(point1_not_point3,hypothesis,
point1 != point3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_not_point3) ).
cnf(point2_not_point3,hypothesis,
point2 != point3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2_not_point3) ).
cnf(prove_points_noncollinear,negated_conjecture,
collinear(point1,point2,point3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_points_noncollinear) ).
cnf(80,plain,
line(line_through_3_points(point1,point2,point3)),
inference('UR-RESOLVE',[status(thm)],[axiom_G10D,point1,point2,point3,point1_not_point2,point1_not_point3,point2_not_point3,prove_points_noncollinear]) ).
cnf(96,plain,
on(point1,line_through_3_points(point1,point2,point3)),
inference('UR-RESOLVE',[status(thm)],[axiom_G10A,point1,point2,point3,point1_not_point2,point1_not_point3,point2_not_point3,prove_points_noncollinear]) ).
cnf(97,plain,
on(point2,line_through_3_points(point1,point2,point3)),
inference('UR-RESOLVE',[status(thm)],[axiom_G10B,point1,point2,point3,point1_not_point2,point1_not_point3,point2_not_point3,prove_points_noncollinear]) ).
cnf(98,plain,
on(point3,line_through_3_points(point1,point2,point3)),
inference('UR-RESOLVE',[status(thm)],[axiom_G10C,point1,point2,point3,point1_not_point2,point1_not_point3,point2_not_point3,prove_points_noncollinear]) ).
cnf(2366,plain,
line_through_3_points(point1,point2,point3) = a_line,
inference('UR-RESOLVE',[status(thm)],[axiom_G1D,97,point1_not_point2,96,point2_on_line,point1_on_line,point2,point1,80,line]) ).
cnf(2367,plain,
$false,
inference('REWRITE',[status(thm)],[98,point3_not_on_line,2366,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO077-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 12:54:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:54:13
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T12:54:13
% 1.71/1.94
% 1.71/1.94
% 1.71/1.94 #||
% 1.71/1.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/1.94 % SZS output start Refutation
% See solution above
% 1.71/1.94 ||#
% 1.71/1.94
% 1.71/1.94 ; Summary of computation:
% 1.71/1.94 ; 4369 formulas have been input or derived (from 78 formulas).
% 1.71/1.94 ; 2367 (54%) were retained. Of these,
% 1.71/1.94 ; 127 ( 5%) were simplified or subsumed later,
% 1.71/1.94 ; 2240 (95%) are still being kept.
% 1.71/1.94 ;
% 1.71/1.94 ; Run time in seconds excluding printing time:
% 1.71/1.94 ; 0.011 1% Read assertion file (1 call)
% 1.71/1.94 ; 0.003 0% Assert (42 calls)
% 1.71/1.94 ; 0.256 18% Process new row (4,159 calls)
% 1.71/1.94 ; 0.695 48% Resolution (154 calls)
% 1.71/1.94 ; 0.000 0% Paramodulation (77 calls)
% 1.71/1.94 ; 0.006 0% Condensing (2,252 calls)
% 1.71/1.94 ; 0.219 15% Forward subsumption (2,252 calls)
% 1.71/1.94 ; 0.082 6% Backward subsumption (2,252 calls)
% 1.71/1.94 ; 0.030 2% Clause clause subsumption (13,890 calls)
% 1.71/1.94 ; 0.099 7% Forward simplification (4,086 calls)
% 1.71/1.94 ; 0.005 0% Backward simplification (2,367 calls)
% 1.71/1.94 ; 0.010 1% Ordering (9,405 calls)
% 1.71/1.94 ; 0.000 0% Sortal reasoning (32 calls)
% 1.71/1.94 ; 0.000 0% Purity testing (1 call)
% 1.71/1.94 ; 0.036 2% Other
% 1.71/1.94 ; 1.452 Total
% 1.71/1.94 ; 1.454 Real time
% 1.71/1.94 ;
% 1.71/1.94 ; Term-hash-array has 3,514 terms in all.
% 1.71/1.94 ; Feature-vector-row-index has 2,156 entries (2,228 at peak, 2,252 added, 96 deleted).
% 1.71/1.94 ; Feature-vector-row-index has 2,790 nodes (2,876 at peak, 2,896 added, 106 deleted).
% 1.71/1.94 ; Retrieved 7,365 possibly forward subsuming rows in 2,252 calls.
% 1.71/1.94 ; Retrieved 7,509 possibly backward subsumed rows in 2,252 calls.
% 1.71/1.94 ; Path-index has 3,359 entries (3,444 at peak, 3,543 added, 184 deleted).
% 1.71/1.94 ; Path-index has 562 nodes (601 at peak, 601 added, 39 deleted).
% 1.71/1.94 ; Trie-index has 3,359 entries (3,444 at peak, 3,543 added, 184 deleted).
% 1.71/1.94 ; Trie-index has 6,497 nodes (6,569 at peak, 6,803 added, 306 deleted).
% 1.71/1.94 ; Retrieved 1,270 generalization terms in 14,195 calls.
% 1.71/1.94 ; Retrieved 114 instance terms in 114 calls.
% 1.71/1.94 ; Retrieved 1,679,692 unifiable terms in 113,341 calls.
% 1.71/1.94 ;
% 1.71/1.94 ; The agenda of backward simplifiable rows to process has 7 entries:
% 1.71/1.94 ; 7 with value 0
% 1.71/1.94 ; The agenda of rows to process has 35 entries:
% 1.71/1.94 ; 1 with value 11 8 with value 14 8 with value 16
% 1.71/1.94 ; 1 with value 13 9 with value 15 8 with value 17
% 1.71/1.94 ; The agenda of rows to give has 2171 entries:
% 1.71/1.94 ; 2 with value (4 9) 52 with value (4 20) 48 with value (4 36)
% 1.71/1.94 ; 13 with value (4 10) 12 with value (4 21) 144 with value (4 38)
% 1.71/1.94 ; 6 with value (4 11) 12 with value (4 22) 234 with value (4 39)
% 1.71/1.94 ; 25 with value (4 13) 96 with value (4 30) 234 with value (4 40)
% 1.71/1.94 ; 19 with value (4 14) 192 with value (4 31) 468 with value (4 41)
% 1.71/1.94 ; 36 with value (4 16) 120 with value (4 32) 72 with value (4 43)
% 1.71/1.94 ; 36 with value (4 17) 24 with value (4 33) 216 with value (4 45)
% 1.71/1.94 ; 62 with value (4 18) 48 with value (4 34)
% 1.71/1.94 Evaluation took:
% 1.71/1.94 1.454 seconds of real time
% 1.71/1.94 1.371174 seconds of user run time
% 1.71/1.94 0.08294 seconds of system run time
% 1.71/1.94 [Run times include 0.078 seconds GC run time.]
% 1.71/1.94 0 calls to %EVAL
% 1.71/1.94 0 page faults and
% 1.71/1.94 129,195,336 bytes consed.
% 1.71/1.94 :PROOF-FOUND
% 1.71/1.94 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:54:14
% 1.71/1.94 :PROOF-FOUND
% 1.71/1.94 *
%------------------------------------------------------------------------------