TSTP Solution File: GEO575+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:16:47 EDT 2022
% Result : Theorem 16.38s 16.55s
% Output : Refutation 16.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 48 ( 24 unt; 0 nHn; 29 RR)
% Number of literals : 87 ( 0 equ; 43 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 156 ( 22 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(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(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(22,axiom,
( ~ cong(X,Y,Z,U)
| cong(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
cnf(23,axiom,
( ~ cong(X,Y,Z,U)
| cong(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(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(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(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(113,negated_conjecture,
perp('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214037) ).
cnf(120,negated_conjecture,
~ cong('SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214037) ).
cnf(129,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[7,113]) ).
cnf(132,plain,
~ cong('SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[22,120]) ).
cnf(170,plain,
para('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,129,113]) ).
cnf(190,plain,
~ cong('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[23,132]) ).
cnf(236,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV25',X,Y,'SKOLEMAAAV23','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,170]) ).
cnf(315,plain,
~ cong('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[22,190]) ).
cnf(3090,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,236]) ).
cnf(3091,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV25',X,Y,'SKOLEMAAAV23','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,236]) ).
cnf(7706,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3091]) ).
cnf(7712,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,7706]) ).
cnf(7718,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,7712,7712]) ).
cnf(9749,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,7718,7718]) ).
cnf(9753,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,9749]) ).
cnf(9755,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,9749]) ).
cnf(9765,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[9755,3090]) ).
cnf(9791,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,9765,9765]) ).
cnf(9804,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,9791,9791]) ).
cnf(9829,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,9804,9804]) ).
cnf(9830,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,9829]) ).
cnf(9831,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,9829]) ).
cnf(9832,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,9829]) ).
cnf(9833,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,9829]) ).
cnf(9853,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[9833,9832]) ).
cnf(9898,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[9830,9853,9853]) ).
cnf(9903,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,9898]) ).
cnf(9905,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[9831,9898]) ).
cnf(9923,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[9753,9905,9832]) ).
cnf(10018,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[9903,9923,315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 18:08:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:08:07
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-17T18:08:07
% 0.35/0.53
% 0.35/0.53 WARNING: In quantification, variable ?M is being rebound.
% 0.35/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 16.38/16.55 ; Declaring coll to be commutative.
% 16.38/16.55
% 16.38/16.55 #||
% 16.38/16.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.38/16.55 % SZS output start Refutation
% See solution above
% 16.38/16.58 ||#
% 16.38/16.58
% 16.38/16.58 ; Summary of computation:
% 16.38/16.58 ; 63740 formulas have been input or derived (from 893 formulas).
% 16.38/16.58 ; 10018 (16%) were retained. Of these,
% 16.38/16.58 ; 9246 (92%) were simplified or subsumed later,
% 16.38/16.58 ; 772 ( 8%) are still being kept.
% 16.38/16.58 ;
% 16.38/16.58 ; Run time in seconds excluding printing time:
% 16.38/16.58 ; 0.031 0% Read assertion file (1 call)
% 16.38/16.58 ; 0.005 0% Assert (95 calls)
% 16.38/16.58 ; 0.673 4% Process new row (61,976 calls)
% 16.38/16.58 ; 14.166 88% Resolution (1,784 calls)
% 16.38/16.58 ; 0.009 0% Paramodulation (892 calls)
% 16.38/16.58 ; 0.003 0% Condensing (156 calls)
% 16.38/16.58 ; 0.002 0% Forward subsumption (156 calls)
% 16.38/16.58 ; 0.002 0% Backward subsumption (154 calls)
% 16.38/16.58 ; 0.001 0% Clause clause subsumption (180 calls)
% 16.38/16.58 ; 0.243 2% Forward simplification (44,264 calls)
% 16.38/16.58 ; 0.763 5% Backward simplification (10,018 calls)
% 16.38/16.58 ; 0.000 0% Ordering (52 calls)
% 16.38/16.58 ; 0.001 0% Sortal reasoning (32 calls)
% 16.38/16.58 ; 0.001 0% Purity testing (1 call)
% 16.38/16.58 ; 0.161 1% Other
% 16.38/16.58 ; 16.061 Total
% 16.38/16.58 ; 16.092 Real time
% 16.38/16.58 ;
% 16.38/16.58 ; Term-hash-array has 13,898 terms in all.
% 16.38/16.58 ; Feature-vector-row-index has 72 entries (133 at peak, 154 added, 82 deleted).
% 16.38/16.58 ; Feature-vector-row-index has 97 nodes (282 at peak, 305 added, 208 deleted).
% 16.38/16.58 ; Retrieved 160 possibly forward subsuming rows in 156 calls.
% 16.38/16.58 ; Retrieved 58 possibly backward subsumed rows in 154 calls.
% 16.38/16.58 ; Path-index has 958 entries (10,522 at peak, 13,934 added, 12,976 deleted).
% 16.38/16.58 ; Path-index has 1,948 nodes (3,060 at peak, 3,654 added, 1,706 deleted).
% 16.38/16.58 ; Trie-index has 958 entries (10,522 at peak, 13,934 added, 12,976 deleted).
% 16.38/16.58 ; Trie-index has 3,921 nodes (42,613 at peak, 57,238 added, 53,317 deleted).
% 16.38/16.58 ; Retrieved 43,292 generalization terms in 44,226 calls.
% 16.38/16.58 ; Retrieved 39,578 instance terms in 9,863 calls.
% 16.38/16.58 ; Retrieved 22,493,295 unifiable terms in 815,460 calls.
% 16.38/16.58 ;
% 16.38/16.58 ; The agenda of rows to process has 72 entries:
% 16.38/16.58 ; 1 with value 7 14 with value 12 8 with value 18
% 16.38/16.58 ; 14 with value 8 8 with value 14 4 with value 19
% 16.38/16.58 ; 4 with value 9 14 with value 15 1 with value 21
% 16.38/16.58 ; 4 with value 11
% 16.38/16.58 ; The agenda of rows to give has 576 entries:
% 16.38/16.58 ; 4 with value (4 7) 64 with value (4 14) 19 with value (4 20)
% 16.38/16.58 ; 11 with value (4 8) 247 with value (4 15) 22 with value (4 21)
% 16.38/16.58 ; 2 with value (4 9) 33 with value (4 16) 8 with value (4 22)
% 16.38/16.58 ; 3 with value (4 10) 26 with value (4 17) 4 with value (4 23)
% 16.38/16.58 ; 5 with value (4 11) 64 with value (4 18) 2 with value (4 28)
% 16.38/16.58 ; 9 with value (4 12) 39 with value (4 19) 2 with value (4 29)
% 16.38/16.58 ; 12 with value (4 13)
% 16.38/16.58 Evaluation took:
% 16.38/16.58 16.094 seconds of real time
% 16.38/16.58 15.716908 seconds of user run time
% 16.38/16.58 0.377047 seconds of system run time
% 16.38/16.58 [Run times include 0.974 seconds GC run time.]
% 16.38/16.58 0 calls to %EVAL
% 16.38/16.58 0 page faults and
% 16.38/16.58 972,105,688 bytes consed.
% 16.38/16.58 :PROOF-FOUND
% 16.38/16.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:08:24
% 16.38/16.58 :PROOF-FOUND
% 16.38/16.58 *
%------------------------------------------------------------------------------