TSTP Solution File: GEO656+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 06:17:11 EDT 2022
% Result : Theorem 49.53s 49.79s
% Output : Refutation 49.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of clauses : 57 ( 37 unt; 0 nHn; 57 RR)
% Number of literals : 88 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 97 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(X,Y,Z)
| coll(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(3,axiom,
( ~ para(X,Y,Z,U)
| para(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
cnf(4,axiom,
( ~ para(X,Y,Z,U)
| para(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
cnf(5,axiom,
( ~ para(X,Y,Z,U)
| ~ para(Z,U,V,W)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(24,axiom,
( ~ cong(X,Y,Z,U)
| ~ cong(Z,U,V,W)
| cong(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(53,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(X,Y,U)
| perp(Y,Z,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(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(67,axiom,
( ~ cong(X,Y,X,Z)
| ~ coll(X,Y,Z)
| midp(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
cnf(68,axiom,
( ~ midp(X,Y,Z)
| cong(X,Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
cnf(69,axiom,
( ~ midp(X,Y,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
cnf(72,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ para(V,W,X1,Y1)
| para(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
cnf(112,negated_conjecture,
midp('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
cnf(113,negated_conjecture,
eqangle('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
cnf(114,negated_conjecture,
eqangle('SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
cnf(115,negated_conjecture,
~ para('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
cnf(117,plain,
coll('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[69,112]) ).
cnf(118,plain,
cong('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[68,112]) ).
cnf(119,plain,
~ para('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[3,115]) ).
cnf(126,plain,
eqangle('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[18,113]) ).
cnf(127,plain,
eqangle('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[18,114]) ).
cnf(130,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[20,113]) ).
cnf(131,plain,
eqangle('SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[20,114]) ).
cnf(154,plain,
coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[2,117,117]) ).
cnf(158,plain,
circle('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[11,118,118]) ).
cnf(159,plain,
cong('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[22,118]) ).
cnf(161,plain,
~ para('SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[4,119]) ).
cnf(177,plain,
coll('SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[2,154,154]) ).
cnf(217,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[53,158,117]) ).
cnf(219,plain,
cong('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[23,159]) ).
cnf(253,plain,
coll('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[1,177]) ).
cnf(368,plain,
~ perp('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[8,217,161]) ).
cnf(383,plain,
cong('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[24,219,159]) ).
cnf(772,plain,
midp('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[67,383,253]) ).
cnf(893,plain,
para('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[38,126]) ).
cnf(1580,plain,
para('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[38,127]) ).
cnf(1841,plain,
para('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[72,130,893]) ).
cnf(1843,plain,
para('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[3,1841]) ).
cnf(1888,plain,
para('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[4,1843]) ).
cnf(1905,plain,
para('SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[72,131,1580]) ).
cnf(1907,plain,
para('SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[3,1905]) ).
cnf(1956,plain,
para('SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[4,1907]) ).
cnf(4818,plain,
para('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[5,1888,1843]) ).
cnf(4920,plain,
para('SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[5,1956,1907]) ).
cnf(10459,plain,
midp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[64,4818,772,4818]) ).
cnf(11029,plain,
midp('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[64,4920,772,4920]) ).
cnf(17959,plain,
cong('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[68,10459]) ).
cnf(18813,plain,
cong('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[68,11029]) ).
cnf(68268,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[56,17959,368]),18813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.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 00:17:47 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-06-18T00:17:48
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-18T00:17:48
% 0.20/0.52
% 0.20/0.53 WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 49.53/49.79 ; Declaring coll to be commutative.
% 49.53/49.79
% 49.53/49.79 #||
% 49.53/49.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.53/49.79 % SZS output start Refutation
% See solution above
% 49.53/49.80 ||#
% 49.53/49.80
% 49.53/49.80 ; Summary of computation:
% 49.53/49.80 ; 166337 formulas have been input or derived (from 1020 formulas).
% 49.53/49.80 ; 68268 (41%) were retained. Of these,
% 49.53/49.80 ; 216 ( 0%) were simplified or subsumed later,
% 49.53/49.80 ; 68052 (100%) are still being kept.
% 49.53/49.80 ;
% 49.53/49.80 ; Run time in seconds excluding printing time:
% 49.53/49.80 ; 0.031 0% Read assertion file (1 call)
% 49.53/49.80 ; 0.004 0% Assert (95 calls)
% 49.53/49.80 ; 4.821 10% Process new row (165,376 calls)
% 49.53/49.80 ; 40.518 82% Resolution (2,038 calls)
% 49.53/49.80 ; 0.005 0% Paramodulation (1,019 calls)
% 49.53/49.80 ; 0.003 0% Condensing (486 calls)
% 49.53/49.80 ; 0.041 0% Forward subsumption (486 calls)
% 49.53/49.80 ; 0.041 0% Backward subsumption (485 calls)
% 49.53/49.80 ; 0.004 0% Clause clause subsumption (713 calls)
% 49.53/49.80 ; 1.123 2% Forward simplification (165,376 calls)
% 49.53/49.80 ; 2.201 4% Backward simplification (68,268 calls)
% 49.53/49.80 ; 0.000 0% Ordering (568 calls)
% 49.53/49.80 ; 0.000 0% Sortal reasoning (32 calls)
% 49.53/49.80 ; 0.001 0% Purity testing (1 call)
% 49.53/49.80 ; 0.509 1% Other
% 49.53/49.80 ; 49.302 Total
% 49.53/49.80 ; 49.315 Real time
% 49.53/49.80 ;
% 49.53/49.80 ; Term-hash-array has 94,853 terms in all.
% 49.53/49.80 ; Feature-vector-row-index has 485 entries (485 at peak, 485 added, 0 deleted).
% 49.53/49.80 ; Feature-vector-row-index has 1,299 nodes (1,299 at peak, 1,299 added, 0 deleted).
% 49.53/49.80 ; Retrieved 416 possibly forward subsuming rows in 486 calls.
% 49.53/49.80 ; Retrieved 331 possibly backward subsumed rows in 485 calls.
% 49.53/49.80 ; Path-index has 94,643 entries (94,643 at peak, 94,859 added, 216 deleted).
% 49.53/49.80 ; Path-index has 2,559 nodes (2,559 at peak, 2,559 added, 0 deleted).
% 49.53/49.80 ; Trie-index has 94,643 entries (94,643 at peak, 94,859 added, 216 deleted).
% 49.53/49.80 ; Trie-index has 253,097 nodes (253,097 at peak, 253,503 added, 406 deleted).
% 49.53/49.80 ; Retrieved 102,390 generalization terms in 165,312 calls.
% 49.53/49.80 ; Retrieved 70,394 instance terms in 67,782 calls.
% 49.53/49.80 ; Retrieved 49,940,554 unifiable terms in 546,364 calls.
% 49.53/49.80 ;
% 49.53/49.80 ; The agenda of rows to process has 46 entries:
% 49.53/49.80 ; 11 with value 15 11 with value 19 24 with value 21
% 49.53/49.80 ; The agenda of rows to give has 67052 entries:
% 49.53/49.80 ; 742 with value (4 14) 8645 with value (4 22) 416 with value (4 29)
% 49.53/49.80 ; 771 with value (4 15) 51 with value (4 23) 16 with value (4 30)
% 49.53/49.80 ; 560 with value (4 16) 322 with value (4 24) 27 with value (4 31)
% 49.53/49.80 ; 1838 with value (4 17) 482 with value (4 25) 32 with value (4 32)
% 49.53/49.80 ; 7643 with value (4 18) 504 with value (4 26) 152 with value (4 33)
% 49.53/49.80 ; 5944 with value (4 19) 520 with value (4 27) 210 with value (4 34)
% 49.53/49.80 ; 15595 with value (4 20) 579 with value (4 28) 204 with value (4 35)
% 49.53/49.80 ; 21799 with value (4 21)
% 49.53/49.80 Evaluation took:
% 49.53/49.80 49.318 seconds of real time
% 49.53/49.80 48.241707 seconds of user run time
% 49.53/49.80 1.066913 seconds of system run time
% 49.53/49.80 [Run times include 3.889 seconds GC run time.]
% 49.53/49.80 0 calls to %EVAL
% 49.53/49.80 0 page faults and
% 49.53/49.80 1,334,478,000 bytes consed.
% 49.53/49.80 :PROOF-FOUND
% 49.53/49.80 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T00:18:37
% 49.53/49.80 :PROOF-FOUND
% 49.53/49.80 *
%------------------------------------------------------------------------------