TSTP Solution File: GEO642+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:17:07 EDT 2022
% Result : Theorem 68.80s 69.00s
% Output : Refutation 68.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of clauses : 60 ( 35 unt; 0 nHn; 45 RR)
% Number of literals : 98 ( 0 equ; 40 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 147 ( 12 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(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(9,axiom,
( ~ para(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| perp(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
cnf(10,axiom,
( ~ midp(X,Y,Z)
| midp(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
cnf(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox2/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/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(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(44,axiom,
( ~ midp(X,Y,Z)
| ~ midp(U,Y,V)
| para(X,U,Z,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(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(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
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(73,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ perp(V,W,X1,Y1)
| perp(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
cnf(112,negated_conjecture,
midp('SKOLEMAAAS23','SKOLEMAAAS22','SKOLEMAAAS21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).
cnf(117,negated_conjecture,
circle('SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS26','SKOLEMAAAS36'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).
cnf(125,negated_conjecture,
~ perp('SKOLEMAAAS28','SKOLEMAAAS29','SKOLEMAAAS21','SKOLEMAAAS26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).
cnf(138,plain,
midp('SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS22'),
inference('HYPERRESOLVE',[status(thm)],[10,112]) ).
cnf(139,plain,
coll('SKOLEMAAAS23','SKOLEMAAAS22','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[69,112]) ).
cnf(140,plain,
cong('SKOLEMAAAS23','SKOLEMAAAS22','SKOLEMAAAS23','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[68,112]) ).
cnf(153,plain,
para('SKOLEMAAAS23','SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[44,112,112]) ).
cnf(192,plain,
cong('SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS23','SKOLEMAAAS22'),
inference('HYPERRESOLVE',[status(thm)],[68,138]) ).
cnf(209,plain,
coll('SKOLEMAAAS21','SKOLEMAAAS21','SKOLEMAAAS23'),
inference('HYPERRESOLVE',[status(thm)],[2,139,139]) ).
cnf(230,plain,
cong('SKOLEMAAAS23','SKOLEMAAAS22','SKOLEMAAAS21','SKOLEMAAAS23'),
inference('HYPERRESOLVE',[status(thm)],[22,140]) ).
cnf(236,plain,
eqangle('SKOLEMAAAS23','SKOLEMAAAS23',X,Y,'SKOLEMAAAS21','SKOLEMAAAS21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,153]) ).
cnf(297,plain,
coll('SKOLEMAAAS23','SKOLEMAAAS23','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[2,209,209]) ).
cnf(321,plain,
cong('SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS23','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[24,192,140]) ).
cnf(347,plain,
cong('SKOLEMAAAS21','SKOLEMAAAS23','SKOLEMAAAS23','SKOLEMAAAS22'),
inference('HYPERRESOLVE',[status(thm)],[23,230]) ).
cnf(480,plain,
coll('SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS23'),
inference('HYPERRESOLVE',[status(thm)],[1,297]) ).
cnf(634,plain,
perp('SKOLEMAAAS23','SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[56,321,321]) ).
cnf(925,plain,
cong('SKOLEMAAAS21','SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS23'),
inference('HYPERRESOLVE',[status(thm)],[24,347,230]) ).
cnf(2445,plain,
midp('SKOLEMAAAS21','SKOLEMAAAS23','SKOLEMAAAS23'),
inference('HYPERRESOLVE',[status(thm)],[67,925,480]) ).
cnf(6833,plain,
eqangle('SKOLEMAAAS23','SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS21',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,236]) ).
cnf(15363,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAS23','SKOLEMAAAS23','SKOLEMAAAS21','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[19,6833]) ).
cnf(34042,plain,
perp(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[73,15363,634]) ).
cnf(34043,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,15363,153]) ).
cnf(34048,plain,
perp(X,Y,Y,X),
inference('HYPERRESOLVE',[status(thm)],[6,34042]) ).
cnf(35147,plain,
midp('SKOLEMAAAS21',X,X),
inference('HYPERRESOLVE',[status(thm)],[64,34043,2445,34043]) ).
cnf(35149,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,34043]) ).
cnf(36219,plain,
cong('SKOLEMAAAS21',X,'SKOLEMAAAS21',X),
inference('HYPERRESOLVE',[status(thm)],[68,35147]) ).
cnf(37050,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,35149,35149]) ).
cnf(38278,plain,
cong(X,'SKOLEMAAAS21',Y,'SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[52,34048,35147]) ).
cnf(47935,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,37050,37050]) ).
cnf(47942,plain,
( ~ circle(X,Y,Z,U)
| perp(Y,Z,Z,U) ),
inference('REWRITE',[status(thm)],[53,47935]) ).
cnf(47945,plain,
perp('SKOLEMAAAS21','SKOLEMAAAS26','SKOLEMAAAS26','SKOLEMAAAS36'),
inference('HYPERRESOLVE',[status(thm)],[47942,117]) ).
cnf(48037,plain,
perp('SKOLEMAAAS26','SKOLEMAAAS36','SKOLEMAAAS21','SKOLEMAAAS26'),
inference('HYPERRESOLVE',[status(thm)],[7,47945]) ).
cnf(48138,plain,
~ para('SKOLEMAAAS28','SKOLEMAAAS29','SKOLEMAAAS26','SKOLEMAAAS36'),
inference('UR-RESOLVE',[status(thm)],[9,48037,125]) ).
cnf(50102,plain,
perp('SKOLEMAAAS21','SKOLEMAAAS21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[56,36219,36219]) ).
cnf(50543,plain,
perp(X,Y,'SKOLEMAAAS21','SKOLEMAAAS21'),
inference('HYPERRESOLVE',[status(thm)],[56,38278,38278]) ).
cnf(72053,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,50102,48138]),50543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.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 18:51:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.44 #<PACKAGE "SNARK-USER">
% 0.18/0.44 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:51:32
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T18:51:32
% 0.18/0.49
% 0.18/0.49 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.49 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 68.80/69.00 ; Declaring coll to be commutative.
% 68.80/69.00
% 68.80/69.00 #||
% 68.80/69.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.80/69.00 % SZS output start Refutation
% See solution above
% 68.80/69.00 ||#
% 68.80/69.00
% 68.80/69.00 ; Summary of computation:
% 68.80/69.00 ; 274538 formulas have been input or derived (from 1960 formulas).
% 68.80/69.00 ; 72053 (26%) were retained. Of these,
% 68.80/69.00 ; 45163 (63%) were simplified or subsumed later,
% 68.80/69.00 ; 26890 (37%) are still being kept.
% 68.80/69.00 ;
% 68.80/69.00 ; Run time in seconds excluding printing time:
% 68.80/69.00 ; 0.032 0% Read assertion file (1 call)
% 68.80/69.00 ; 0.006 0% Assert (95 calls)
% 68.80/69.00 ; 4.853 7% Process new row (269,499 calls)
% 68.80/69.00 ; 55.605 81% Resolution (3,918 calls)
% 68.80/69.00 ; 0.013 0% Paramodulation (1,959 calls)
% 68.80/69.00 ; 0.000 0% Condensing (434 calls)
% 68.80/69.00 ; 0.012 0% Forward subsumption (434 calls)
% 68.80/69.00 ; 0.012 0% Backward subsumption (409 calls)
% 68.80/69.00 ; 0.002 0% Clause clause subsumption (734 calls)
% 68.80/69.00 ; 1.503 2% Forward simplification (215,169 calls)
% 68.80/69.00 ; 5.654 8% Backward simplification (72,053 calls)
% 68.80/69.00 ; 0.002 0% Ordering (584 calls)
% 68.80/69.00 ; 0.001 0% Sortal reasoning (32 calls)
% 68.80/69.00 ; 0.000 0% Purity testing (1 call)
% 68.80/69.00 ; 0.851 1% Other
% 68.80/69.00 ; 68.546 Total
% 68.80/69.00 ; 68.557 Real time
% 68.80/69.01 ;
% 68.80/69.01 ; Term-hash-array has 100,874 terms in all.
% 68.80/69.01 ; Feature-vector-row-index has 96 entries (389 at peak, 409 added, 313 deleted).
% 68.80/69.01 ; Feature-vector-row-index has 158 nodes (878 at peak, 930 added, 772 deleted).
% 68.80/69.01 ; Retrieved 453 possibly forward subsuming rows in 434 calls.
% 68.80/69.01 ; Retrieved 317 possibly backward subsumed rows in 409 calls.
% 68.80/69.01 ; Path-index has 35,225 entries (52,385 at peak, 100,917 added, 65,692 deleted).
% 68.80/69.01 ; Path-index has 4,413 nodes (4,415 at peak, 5,965 added, 1,552 deleted).
% 68.80/69.01 ; Trie-index has 35,225 entries (52,385 at peak, 100,917 added, 65,692 deleted).
% 68.80/69.01 ; Trie-index has 126,694 nodes (150,728 at peak, 300,645 added, 173,951 deleted).
% 68.80/69.01 ; Retrieved 331,541 generalization terms in 215,222 calls.
% 68.80/69.01 ; Retrieved 279,751 instance terms in 71,643 calls.
% 68.80/69.01 ; Retrieved 91,742,521 unifiable terms in 2,390,970 calls.
% 68.80/69.01 ;
% 68.80/69.01 ; The agenda of rows to process has 522 entries:
% 68.80/69.01 ; 72 with value 15 122 with value 21 4 with value 28
% 68.80/69.01 ; 20 with value 19 16 with value 27 32 with value 31
% 68.80/69.01 ; 256 with value 20
% 68.80/69.01 ; The agenda of rows to give has 25838 entries:
% 68.80/69.01 ; 339 with value (4 14) 8130 with value (4 22) 558 with value (4 29)
% 68.80/69.01 ; 2778 with value (4 15) 187 with value (4 23) 37 with value (4 30)
% 68.80/69.01 ; 106 with value (4 16) 146 with value (4 24) 51 with value (4 31)
% 68.80/69.01 ; 300 with value (4 17) 233 with value (4 25) 96 with value (4 32)
% 68.80/69.01 ; 1301 with value (4 18) 483 with value (4 26) 38 with value (4 33)
% 68.80/69.01 ; 5061 with value (4 19) 337 with value (4 27) 142 with value (4 34)
% 68.80/69.01 ; 1026 with value (4 20) 521 with value (4 28) 306 with value (4 35)
% 68.80/69.01 ; 3662 with value (4 21)
% 68.80/69.01 Evaluation took:
% 68.80/69.01 68.56 seconds of real time
% 68.80/69.01 66.72301 seconds of user run time
% 68.80/69.01 1.829735 seconds of system run time
% 68.80/69.01 [Run times include 6.631 seconds GC run time.]
% 68.80/69.01 0 calls to %EVAL
% 68.80/69.01 0 page faults and
% 68.80/69.01 3,320,638,872 bytes consed.
% 68.80/69.01 :PROOF-FOUND
% 68.80/69.01 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:52:40
% 68.80/69.01 :PROOF-FOUND
% 68.80/69.01 *
%------------------------------------------------------------------------------