TSTP Solution File: GEO584+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO584+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 06:16:50 EDT 2022
% Result : Theorem 43.72s 43.93s
% Output : Refutation 43.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of clauses : 64 ( 32 unt; 0 nHn; 35 RR)
% Number of literals : 117 ( 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 : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 226 ( 49 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(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
cnf(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox/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/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(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox/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/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(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(119,negated_conjecture,
perp('SKOLEMAAAV29','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416046) ).
cnf(123,negated_conjecture,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV30'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416046) ).
cnf(136,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV29','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[7,119]) ).
cnf(152,plain,
~ eqangle('SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV30'),
inference('UR-RESOLVE',[status(thm)],[17,123]) ).
cnf(188,plain,
para('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,136,119]) ).
cnf(255,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,188]) ).
cnf(3115,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[19,152]) ).
cnf(3874,plain,
~ eqangle('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[17,3115]) ).
cnf(4975,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,255]) ).
cnf(4976,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,255]) ).
cnf(5969,plain,
~ eqangle('SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV30'),
inference('UR-RESOLVE',[status(thm)],[19,3874]) ).
cnf(9312,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,4976]) ).
cnf(9318,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,9312]) ).
cnf(9325,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,9318,9318]) ).
cnf(17098,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,9325,9325]) ).
cnf(17102,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,17098]) ).
cnf(17104,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,17098]) ).
cnf(17110,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[17104,4975]) ).
cnf(17156,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,17110,17110]) ).
cnf(17161,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,17156,17156]) ).
cnf(17193,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,17161,17161]) ).
cnf(17194,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,17193]) ).
cnf(17195,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,17193]) ).
cnf(17196,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,17193]) ).
cnf(17197,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,17193]) ).
cnf(17227,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[17197,17196]) ).
cnf(17264,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[17194,17227,17227]) ).
cnf(17269,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,17264]) ).
cnf(17271,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[17195,17264]) ).
cnf(17275,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[17102,17271,17196]) ).
cnf(17337,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[17269,17275]) ).
cnf(17338,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,17337]) ).
cnf(17340,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,17338]) ).
cnf(17341,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,17338]) ).
cnf(17342,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,17341]) ).
cnf(17349,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[17342,17275]) ).
cnf(17350,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,17349]) ).
cnf(17352,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[17340,17349]) ).
cnf(17355,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,17352]) ).
cnf(17356,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[17350,17355]) ).
cnf(17357,plain,
$false,
inference('REWRITE',[status(thm)],[5969,17356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 23:00:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 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 2022-06-17T23:00:08
% 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 2022-06-17T23:00:08
% 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)).
% 43.72/43.93 ; Declaring coll to be commutative.
% 43.72/43.93
% 43.72/43.93 #||
% 43.72/43.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.72/43.93 % SZS output start Refutation
% See solution above
% 43.72/43.93 ||#
% 43.72/43.93
% 43.72/43.93 ; Summary of computation:
% 43.72/43.93 ; 123422 formulas have been input or derived (from 1422 formulas).
% 43.72/43.93 ; 17357 (14%) were retained. Of these,
% 43.72/43.93 ; 17070 (98%) were simplified or subsumed later,
% 43.72/43.93 ; 287 ( 2%) are still being kept.
% 43.72/43.93 ;
% 43.72/43.93 ; Run time in seconds excluding printing time:
% 43.72/43.93 ; 0.031 0% Read assertion file (1 call)
% 43.72/43.93 ; 0.004 0% Assert (95 calls)
% 43.72/43.93 ; 1.004 2% Process new row (121,360 calls)
% 43.72/43.93 ; 40.269 93% Resolution (2,842 calls)
% 43.72/43.93 ; 0.014 0% Paramodulation (1,421 calls)
% 43.72/43.93 ; 0.002 0% Condensing (170 calls)
% 43.72/43.93 ; 0.001 0% Forward subsumption (170 calls)
% 43.72/43.93 ; 0.003 0% Backward subsumption (168 calls)
% 43.72/43.93 ; 0.001 0% Clause clause subsumption (193 calls)
% 43.72/43.93 ; 0.362 1% Forward simplification (79,000 calls)
% 43.72/43.93 ; 1.429 3% Backward simplification (17,357 calls)
% 43.72/43.93 ; 0.000 0% Ordering (64 calls)
% 43.72/43.93 ; 0.001 0% Sortal reasoning (32 calls)
% 43.72/43.93 ; 0.000 0% Purity testing (1 call)
% 43.72/43.93 ; 0.344 1% Other
% 43.72/43.93 ; 43.465 Total
% 43.72/43.93 ; 43.474 Real time
% 43.72/43.93 ;
% 43.72/43.93 ; Term-hash-array has 24,449 terms in all.
% 43.72/43.93 ; Feature-vector-row-index has 29 entries (139 at peak, 168 added, 139 deleted).
% 43.72/43.93 ; Feature-vector-row-index has 35 nodes (327 at peak, 361 added, 326 deleted).
% 43.72/43.93 ; Retrieved 164 possibly forward subsuming rows in 170 calls.
% 43.72/43.93 ; Retrieved 67 possibly backward subsumed rows in 168 calls.
% 43.72/43.93 ; Path-index has 310 entries (19,637 at peak, 24,494 added, 24,184 deleted).
% 43.72/43.93 ; Path-index has 782 nodes (1,761 at peak, 2,246 added, 1,464 deleted).
% 43.72/43.93 ; Trie-index has 310 entries (19,637 at peak, 24,494 added, 24,184 deleted).
% 43.72/43.93 ; Trie-index has 1,443 nodes (46,846 at peak, 57,983 added, 56,540 deleted).
% 43.72/43.93 ; Retrieved 91,549 generalization terms in 79,026 calls.
% 43.72/43.93 ; Retrieved 57,555 instance terms in 17,188 calls.
% 43.72/43.93 ; Retrieved 51,454,623 unifiable terms in 2,281,635 calls.
% 43.72/43.93 ;
% 43.72/43.93 ; The agenda of backward simplifiable rows to process has 9 entries:
% 43.72/43.93 ; 9 with value 0
% 43.72/43.93 ; The agenda of input rows to give has 6 entries:
% 43.72/43.93 ; 2 with value 6 4 with value 10
% 43.72/43.93 ; The agenda of rows to give has 225 entries:
% 43.72/43.93 ; 1 with value (4 7) 3 with value (4 12) 136 with value (4 15)
% 43.72/43.93 ; 2 with value (4 8) 5 with value (4 13) 2 with value (4 29)
% 43.72/43.93 ; 3 with value (4 11) 73 with value (4 14)
% 43.72/43.93 Evaluation took:
% 43.72/43.93 43.475 seconds of real time
% 43.72/43.93 42.864388 seconds of user run time
% 43.72/43.93 0.606065 seconds of system run time
% 43.72/43.93 [Run times include 1.958 seconds GC run time.]
% 43.72/43.93 0 calls to %EVAL
% 43.72/43.93 0 page faults and
% 43.72/43.93 2,493,192,656 bytes consed.
% 43.72/43.93 :PROOF-FOUND
% 43.72/43.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:00:52
% 43.72/43.93 :PROOF-FOUND
% 43.72/43.93 *
%------------------------------------------------------------------------------