TSTP Solution File: GEO652+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO652+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 06:17:10 EDT 2022
% Result : Theorem 52.10s 52.29s
% Output : Refutation 52.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of clauses : 52 ( 26 unt; 0 nHn; 29 RR)
% Number of literals : 95 ( 0 equ; 45 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; 7 con; 0-5 aty)
% Number of variables : 181 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
cnf(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
cnf(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(98,axiom,
( ~ circle(X,Y,Z,U)
| perp('SKOLEMAAAU12'(X,Y,Z,U),Y,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAU17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(125,negated_conjecture,
circle('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU30','SKOLEMAAAU42'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
cnf(126,negated_conjecture,
~ para('SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU29','SKOLEMAAAU30'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
cnf(146,plain,
perp('SKOLEMAAAU12'('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU30','SKOLEMAAAU42'),'SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[98,125]) ).
cnf(438,plain,
perp('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU12'('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU30','SKOLEMAAAU42'),'SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[7,146]) ).
cnf(469,plain,
para('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[8,438,146]) ).
cnf(478,plain,
eqangle('SKOLEMAAAU22','SKOLEMAAAU23',X,Y,'SKOLEMAAAU22','SKOLEMAAAU23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,469]) ).
cnf(3867,plain,
eqangle('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,478]) ).
cnf(3868,plain,
eqangle(X,Y,'SKOLEMAAAU22','SKOLEMAAAU23',X,Y,'SKOLEMAAAU22','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[18,478]) ).
cnf(7918,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3868]) ).
cnf(7924,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,7918]) ).
cnf(7928,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,7924,7924]) ).
cnf(21241,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,7928,7928]) ).
cnf(21242,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAU17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,21241]) ).
cnf(21245,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,21241]) ).
cnf(21247,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,21241]) ).
cnf(21261,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU23','SKOLEMAAAU22',X),
inference('HYPERRESOLVE',[status(thm)],[21247,3867]) ).
cnf(21422,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,21261,21261]) ).
cnf(21425,plain,
cyclic('SKOLEMAAAU22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,21422,21422]) ).
cnf(23173,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,21425,21425]) ).
cnf(23174,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,23173]) ).
cnf(23175,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,23173]) ).
cnf(23176,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,23173]) ).
cnf(23177,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,23173]) ).
cnf(23295,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[23177,23176]) ).
cnf(23449,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[23174,23295,23295]) ).
cnf(23454,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,23449]) ).
cnf(23455,plain,
perp('SKOLEMAAAU17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[21242,23449]) ).
cnf(23456,plain,
circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[23175,23449]) ).
cnf(23460,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[21245,23456,23176]) ).
cnf(23465,plain,
~ perp('SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU17'(X,Y,Z,'SKOLEMAAAU29','SKOLEMAAAU30'),X),
inference('UR-RESOLVE',[status(thm)],[8,23455,126]) ).
cnf(23557,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[23454,23460]) ).
cnf(23558,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,23557]) ).
cnf(23559,plain,
$false,
inference('REWRITE',[status(thm)],[23465,23558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO652+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 02:42:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-18T02:42:53
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-18T02:42:53
% 0.19/0.50
% 0.19/0.50 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 52.10/52.29 ; Declaring coll to be commutative.
% 52.10/52.29
% 52.10/52.29 #||
% 52.10/52.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.10/52.29 % SZS output start Refutation
% See solution above
% 52.15/52.31 ||#
% 52.15/52.31
% 52.15/52.31 ; Summary of computation:
% 52.15/52.31 ; 161329 formulas have been input or derived (from 1355 formulas).
% 52.15/52.31 ; 23559 (15%) were retained. Of these,
% 52.15/52.31 ; 22132 (94%) were simplified or subsumed later,
% 52.15/52.31 ; 1427 ( 6%) are still being kept.
% 52.15/52.31 ;
% 52.15/52.31 ; Run time in seconds excluding printing time:
% 52.15/52.31 ; 0.031 0% Read assertion file (1 call)
% 52.15/52.31 ; 0.006 0% Assert (95 calls)
% 52.15/52.31 ; 1.320 3% Process new row (159,748 calls)
% 52.15/52.31 ; 47.463 92% Resolution (2,708 calls)
% 52.15/52.31 ; 0.002 0% Paramodulation (1,354 calls)
% 52.15/52.31 ; 0.003 0% Condensing (146 calls)
% 52.15/52.31 ; 0.003 0% Forward subsumption (146 calls)
% 52.15/52.31 ; 0.002 0% Backward subsumption (144 calls)
% 52.15/52.31 ; 0.002 0% Clause clause subsumption (180 calls)
% 52.15/52.31 ; 0.696 1% Forward simplification (99,265 calls)
% 52.15/52.31 ; 1.880 4% Backward simplification (23,559 calls)
% 52.15/52.31 ; 0.000 0% Ordering (32 calls)
% 52.15/52.31 ; 0.000 0% Sortal reasoning (32 calls)
% 52.15/52.31 ; 0.001 0% Purity testing (1 call)
% 52.15/52.31 ; 0.424 1% Other
% 52.15/52.31 ; 51.833 Total
% 52.15/52.31 ; 51.854 Real time
% 52.15/52.31 ;
% 52.15/52.31 ; Term-hash-array has 34,061 terms in all.
% 52.15/52.31 ; Feature-vector-row-index has 60 entries (123 at peak, 144 added, 84 deleted).
% 52.15/52.31 ; Feature-vector-row-index has 78 nodes (233 at peak, 256 added, 178 deleted).
% 52.15/52.31 ; Retrieved 160 possibly forward subsuming rows in 146 calls.
% 52.15/52.31 ; Retrieved 58 possibly backward subsumed rows in 144 calls.
% 52.15/52.31 ; Path-index has 2,163 entries (27,406 at peak, 34,110 added, 31,947 deleted).
% 52.15/52.31 ; Path-index has 1,596 nodes (2,926 at peak, 3,845 added, 2,249 deleted).
% 52.15/52.31 ; Trie-index has 2,163 entries (27,406 at peak, 34,110 added, 31,947 deleted).
% 52.15/52.31 ; Trie-index has 7,719 nodes (68,553 at peak, 89,215 added, 81,496 deleted).
% 52.15/52.31 ; Retrieved 130,303 generalization terms in 99,224 calls.
% 52.15/52.31 ; Retrieved 65,502 instance terms in 23,414 calls.
% 52.15/52.31 ; Retrieved 70,076,930 unifiable terms in 3,630,769 calls.
% 52.15/52.31 ;
% 52.15/52.31 ; The agenda of backward simplifiable rows to process has 8 entries:
% 52.15/52.31 ; 8 with value 0
% 52.15/52.31 ; The agenda of rows to process has 152 entries:
% 52.15/52.31 ; 15 with value 8 4 with value 13 20 with value 18
% 52.15/52.31 ; 24 with value 9 8 with value 14 4 with value 19
% 52.15/52.31 ; 2 with value 10 32 with value 15 1 with value 20
% 52.15/52.31 ; 28 with value 12 4 with value 16 10 with value 21
% 52.15/52.31 ; The agenda of input rows to give has 1 entry:
% 52.15/52.31 ; 1 with value 6
% 52.15/52.31 ; The agenda of rows to give has 1262 entries:
% 52.15/52.31 ; 8 with value (4 7) 25 with value (4 14) 234 with value (4 20)
% 52.15/52.31 ; 21 with value (4 8) 346 with value (4 15) 230 with value (4 21)
% 52.15/52.31 ; 2 with value (4 10) 189 with value (4 16) 25 with value (4 22)
% 52.15/52.31 ; 3 with value (4 11) 1 with value (4 17) 50 with value (4 23)
% 52.15/52.31 ; 4 with value (4 12) 37 with value (4 18) 6 with value (4 25)
% 52.15/52.31 ; 6 with value (4 13) 73 with value (4 19) 2 with value (4 29)
% 52.15/52.31 Evaluation took:
% 52.15/52.31 51.856 seconds of real time
% 52.15/52.31 51.098717 seconds of user run time
% 52.15/52.31 0.756409 seconds of system run time
% 52.15/52.31 [Run times include 2.37 seconds GC run time.]
% 52.15/52.31 0 calls to %EVAL
% 52.15/52.31 0 page faults and
% 52.15/52.31 3,325,908,400 bytes consed.
% 52.15/52.31 :PROOF-FOUND
% 52.15/52.31 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:43:45
% 52.15/52.31 :PROOF-FOUND
% 52.15/52.31 *
%------------------------------------------------------------------------------