TSTP Solution File: GEO549+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO549+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 06:16:39 EDT 2022
% Result : Theorem 223.23s 223.46s
% Output : Refutation 223.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of clauses : 65 ( 33 unt; 0 nHn; 34 RR)
% Number of literals : 119 ( 0 equ; 58 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 244 ( 59 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
cnf(8,axiom,
( ~ perp(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
cnf(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
cnf(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
cnf(17,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Y,X,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
cnf(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
cnf(20,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(X,Y,V,W,Z,U,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(21,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ eqangle(V,W,X1,Y1,Z1,U1,V1,W1)
| eqangle(X,Y,Z,U,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
cnf(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
cnf(39,axiom,
( ~ para(X,Y,Z,U)
| eqangle(X,Y,V,W,Z,U,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
cnf(40,axiom,
( ~ cyclic(X,Y,Z,U)
| eqangle(Z,X,Z,Y,U,X,U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
cnf(42,axiom,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| ~ coll(X,U,Z)
| cyclic(Y,Z,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
cnf(43,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| ~ cyclic(X,Y,Z,W)
| ~ eqangle(Z,X,Z,Y,W,U,W,V)
| cong(X,Y,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
cnf(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
cnf(51,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(V,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
cnf(52,axiom,
( ~ perp(X,Y,Y,Z)
| ~ midp(U,X,Z)
| cong(X,U,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
cnf(57,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| ~ cyclic(X,Z,Y,U)
| perp(Y,X,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(115,negated_conjecture,
perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012009) ).
cnf(128,negated_conjecture,
~ eqangle('SKOLEMAAAV27','SKOLEMAAAV32','SKOLEMAAAV32','SKOLEMAAAV31','SKOLEMAAAV29','SKOLEMAAAV33','SKOLEMAAAV33','SKOLEMAAAV30'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012009) ).
cnf(147,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(167,plain,
~ eqangle('SKOLEMAAAV32','SKOLEMAAAV27','SKOLEMAAAV32','SKOLEMAAAV31','SKOLEMAAAV29','SKOLEMAAAV33','SKOLEMAAAV33','SKOLEMAAAV30'),
inference('UR-RESOLVE',[status(thm)],[17,128]) ).
cnf(213,plain,
para('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,147,115]) ).
cnf(312,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,213]) ).
cnf(3961,plain,
~ eqangle('SKOLEMAAAV32','SKOLEMAAAV31','SKOLEMAAAV32','SKOLEMAAAV27','SKOLEMAAAV33','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV33'),
inference('UR-RESOLVE',[status(thm)],[18,167]) ).
cnf(7912,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,312]) ).
cnf(7913,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,312]) ).
cnf(19371,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,7913]) ).
cnf(19377,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,19371]) ).
cnf(19385,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,19377,19377]) ).
cnf(46557,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,19385,19385]) ).
cnf(46561,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,46557]) ).
cnf(46563,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,46557]) ).
cnf(46594,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[46563,7912]) ).
cnf(46671,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,46594,46594]) ).
cnf(46675,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,46671,46671]) ).
cnf(46741,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,46675,46675]) ).
cnf(46742,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,46741]) ).
cnf(46743,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,46741]) ).
cnf(46744,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,46741]) ).
cnf(46745,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,46741]) ).
cnf(46759,plain,
~ eqangle(X,'SKOLEMAAAV31',X,'SKOLEMAAAV27','SKOLEMAAAV33','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV33'),
inference('UR-RESOLVE',[status(thm)],[21,46744,3961]) ).
cnf(46799,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[46745,46744]) ).
cnf(46878,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[46742,46799,46799]) ).
cnf(46883,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,46878]) ).
cnf(46885,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[46743,46878]) ).
cnf(46889,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[46561,46885,46744]) ).
cnf(46974,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[46883,46889]) ).
cnf(46975,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,46974]) ).
cnf(46977,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,46975]) ).
cnf(46978,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,46975]) ).
cnf(46979,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,46978]) ).
cnf(46981,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,46978]) ).
cnf(46986,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[46979,46889]) ).
cnf(46987,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,46986]) ).
cnf(46989,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[46977,46986]) ).
cnf(46992,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,46989]) ).
cnf(46993,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[46987,46992]) ).
cnf(47018,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,46993,46981]) ).
cnf(47019,plain,
$false,
inference('REWRITE',[status(thm)],[46759,47018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO549+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n016.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 09:41:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:41:22
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-18T09:41:22
% 0.18/0.51
% 0.18/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 223.23/223.46 ; Declaring coll to be commutative.
% 223.23/223.46
% 223.23/223.46 #||
% 223.23/223.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 223.23/223.46 % SZS output start Refutation
% See solution above
% 223.23/223.46 ||#
% 223.23/223.46
% 223.23/223.46 ; Summary of computation:
% 223.23/223.46 ; 319606 formulas have been input or derived (from 2198 formulas).
% 223.23/223.46 ; 47019 (15%) were retained. Of these,
% 223.23/223.46 ; 46908 (100%) were simplified or subsumed later,
% 223.23/223.46 ; 111 ( 0%) are still being kept.
% 223.23/223.46 ;
% 223.23/223.46 ; Run time in seconds excluding printing time:
% 223.23/223.46 ; 0.032 0% Read assertion file (1 call)
% 223.23/223.46 ; 0.006 0% Assert (95 calls)
% 223.23/223.46 ; 3.531 2% Process new row (316,811 calls)
% 223.23/223.46 ; 211.032 95% Resolution (4,394 calls)
% 223.23/223.46 ; 0.014 0% Paramodulation (2,197 calls)
% 223.23/223.46 ; 0.003 0% Condensing (171 calls)
% 223.23/223.46 ; 0.002 0% Forward subsumption (171 calls)
% 223.23/223.46 ; 0.001 0% Backward subsumption (170 calls)
% 223.23/223.46 ; 0.000 0% Clause clause subsumption (194 calls)
% 223.23/223.46 ; 1.279 1% Forward simplification (200,393 calls)
% 223.23/223.46 ; 6.222 3% Backward simplification (47,019 calls)
% 223.23/223.46 ; 0.000 0% Ordering (68 calls)
% 223.23/223.46 ; 0.000 0% Sortal reasoning (32 calls)
% 223.23/223.46 ; 0.000 0% Purity testing (1 call)
% 223.23/223.46 ; 0.878 0% Other
% 223.23/223.46 ; 223.000 Total
% 223.23/223.46 ; 222.996 Real time
% 223.23/223.46 ;
% 223.23/223.46 ; Term-hash-array has 67,816 terms in all.
% 223.23/223.46 ; Feature-vector-row-index has 26 entries (139 at peak, 170 added, 144 deleted).
% 223.23/223.46 ; Feature-vector-row-index has 26 nodes (321 at peak, 357 added, 331 deleted).
% 223.23/223.46 ; Retrieved 163 possibly forward subsuming rows in 171 calls.
% 223.23/223.46 ; Retrieved 69 possibly backward subsumed rows in 170 calls.
% 223.23/223.46 ; Path-index has 132 entries (59,114 at peak, 67,866 added, 67,734 deleted).
% 223.23/223.47 ; Path-index has 674 nodes (1,966 at peak, 2,546 added, 1,872 deleted).
% 223.23/223.47 ; Trie-index has 132 entries (59,114 at peak, 67,866 added, 67,734 deleted).
% 223.23/223.47 ; Trie-index has 399 nodes (131,835 at peak, 151,692 added, 151,293 deleted).
% 223.23/223.47 ; Retrieved 254,788 generalization terms in 200,413 calls.
% 223.23/223.47 ; Retrieved 147,234 instance terms in 46,848 calls.
% 223.23/223.47 ; Retrieved 216,796,183 unifiable terms in 9,693,200 calls.
% 223.23/223.47 ;
% 223.23/223.47 ; The agenda of backward simplifiable rows to process has 1 entry:
% 223.23/223.47 ; 1 with value 0
% 223.23/223.47 ; The agenda of rows to process has 15 entries:
% 223.23/223.47 ; 15 with value 11
% 223.23/223.47 ; The agenda of input rows to give has 1 entry:
% 223.23/223.47 ; 1 with value 10
% 223.23/223.47 ; The agenda of rows to give has 64 entries:
% 223.23/223.47 ; 3 with value (4 7) 3 with value (4 12) 38 with value (4 14)
% 223.23/223.47 ; 1 with value (4 8) 4 with value (4 13) 6 with value (4 15)
% 223.23/223.47 ; 9 with value (4 11)
% 223.23/223.47 Evaluation took:
% 223.23/223.47 222.998 seconds of real time
% 223.23/223.47 221.05185 seconds of user run time
% 223.23/223.47 1.953865 seconds of system run time
% 223.23/223.47 [Run times include 9.33 seconds GC run time.]
% 223.23/223.47 0 calls to %EVAL
% 223.23/223.47 0 page faults and
% 223.23/223.47 10,389,233,152 bytes consed.
% 223.23/223.47 :PROOF-FOUND
% 223.23/223.47 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:45:05
% 223.23/223.47 :PROOF-FOUND
% 223.23/223.47 *
%------------------------------------------------------------------------------