TSTP Solution File: GEO599+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 06:16:54 EDT 2022
% Result : Theorem 35.73s 35.98s
% Output : Refutation 35.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of clauses : 54 ( 32 unt; 0 nHn; 38 RR)
% Number of literals : 90 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 155 ( 26 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(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(21,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ eqangle(V,W,X1,Y1,Z1,U1,V1,W1)
| eqangle(X,Y,Z,U,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(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(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(98,axiom,
( ~ circle(X,Y,Z,U)
| perp('SKOLEMAAAV12'(X,Y,Z,U),Y,Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
cnf(113,negated_conjecture,
midp('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
cnf(117,negated_conjecture,
circle('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV30'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
cnf(118,negated_conjecture,
( ~ eqangle('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27')
| ~ eqangle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV23')
| ~ eqangle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27')
| ~ eqangle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV27') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
cnf(125,plain,
midp('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[10,113]) ).
cnf(126,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[69,113]) ).
cnf(127,plain,
cong('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[68,113]) ).
cnf(132,plain,
para('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[44,113,113]) ).
cnf(134,plain,
perp('SKOLEMAAAV12'('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV30'),'SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[98,117]) ).
cnf(150,plain,
cong('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[68,125]) ).
cnf(167,plain,
coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[2,126,126]) ).
cnf(180,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,132]) ).
cnf(193,plain,
coll('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[1,167]) ).
cnf(204,plain,
cong('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[24,150,127]) ).
cnf(337,plain,
midp('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[67,204,193]) ).
cnf(346,plain,
perp('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[56,204,204]) ).
cnf(3412,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV12'('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV30'),'SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,134]) ).
cnf(3607,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV21',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,180]) ).
cnf(4661,plain,
para('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[8,3412,134]) ).
cnf(4666,plain,
midp('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[64,4661,337,4661]) ).
cnf(6753,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[19,3607]) ).
cnf(29494,plain,
perp(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[73,6753,346]) ).
cnf(29495,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,6753,132]) ).
cnf(29500,plain,
perp(X,Y,Y,X),
inference('HYPERRESOLVE',[status(thm)],[6,29494]) ).
cnf(29993,plain,
midp('SKOLEMAAAV25',X,X),
inference('HYPERRESOLVE',[status(thm)],[64,29495,4666,29495]) ).
cnf(30001,plain,
cong('SKOLEMAAAV25',X,'SKOLEMAAAV25',X),
inference('HYPERRESOLVE',[status(thm)],[68,29993]) ).
cnf(31613,plain,
cong(X,'SKOLEMAAAV25',Y,'SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[52,29500,29993]) ).
cnf(35538,plain,
perp('SKOLEMAAAV25','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[56,30001,30001]) ).
cnf(35660,plain,
perp(X,Y,'SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[56,31613,31613]) ).
cnf(42797,plain,
para(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[8,35660,35538]) ).
cnf(42801,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,42797]) ).
cnf(42851,plain,
eqangle(X,Y,Z,U,V,W,V,W),
inference('HYPERRESOLVE',[status(thm)],[20,42801]) ).
cnf(42889,plain,
eqangle(X,Y,Z,U,V,W,X1,Y1),
inference('HYPERRESOLVE',[status(thm)],[21,42851,42801]) ).
cnf(42890,plain,
$false,
inference('REWRITE',[status(thm)],[118,42889]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 01:56:39 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:56:39
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T01:56:39
% 0.22/0.56
% 0.22/0.56 WARNING: In quantification, variable ?M is being rebound.
% 0.22/0.56 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 35.73/35.98 ; Declaring coll to be commutative.
% 35.73/35.98
% 35.73/35.98 #||
% 35.73/35.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.73/35.98 % SZS output start Refutation
% See solution above
% 35.73/35.99 ||#
% 35.73/35.99
% 35.73/35.99 ; Summary of computation:
% 35.73/35.99 ; 172821 formulas have been input or derived (from 1329 formulas).
% 35.73/35.99 ; 42890 (25%) were retained. Of these,
% 35.73/35.99 ; 42786 (100%) were simplified or subsumed later,
% 35.73/35.99 ; 104 ( 0%) are still being kept.
% 35.73/35.99 ;
% 35.73/35.99 ; Run time in seconds excluding printing time:
% 35.73/35.99 ; 0.033 0% Read assertion file (1 call)
% 35.73/35.99 ; 0.006 0% Assert (95 calls)
% 35.73/35.99 ; 2.454 7% Process new row (168,050 calls)
% 35.73/35.99 ; 27.265 77% Resolution (2,656 calls)
% 35.73/35.99 ; 0.003 0% Paramodulation (1,328 calls)
% 35.73/35.99 ; 0.002 0% Condensing (431 calls)
% 35.73/35.99 ; 0.011 0% Forward subsumption (431 calls)
% 35.73/35.99 ; 0.009 0% Backward subsumption (379 calls)
% 35.73/35.99 ; 0.002 0% Clause clause subsumption (782 calls)
% 35.73/35.99 ; 0.930 3% Forward simplification (140,171 calls)
% 35.73/35.99 ; 4.226 12% Backward simplification (42,890 calls)
% 35.73/35.99 ; 0.000 0% Ordering (484 calls)
% 35.73/35.99 ; 0.000 0% Sortal reasoning (32 calls)
% 35.73/35.99 ; 0.000 0% Purity testing (1 call)
% 35.73/35.99 ; 0.528 1% Other
% 35.73/35.99 ; 35.469 Total
% 35.73/35.99 ; 35.473 Real time
% 35.83/35.99 ;
% 35.83/35.99 ; Term-hash-array has 60,896 terms in all.
% 35.83/35.99 ; Feature-vector-row-index has 15 entries (319 at peak, 379 added, 364 deleted).
% 35.83/35.99 ; Feature-vector-row-index has 13 nodes (637 at peak, 781 added, 768 deleted).
% 35.83/35.99 ; Retrieved 465 possibly forward subsuming rows in 431 calls.
% 35.83/35.99 ; Retrieved 356 possibly backward subsumed rows in 379 calls.
% 35.83/35.99 ; Path-index has 115 entries (42,825 at peak, 60,951 added, 60,836 deleted).
% 35.83/35.99 ; Path-index has 1,497 nodes (3,735 at peak, 5,123 added, 3,626 deleted).
% 35.83/35.99 ; Trie-index has 115 entries (42,825 at peak, 60,951 added, 60,836 deleted).
% 35.83/35.99 ; Trie-index has 389 nodes (127,451 at peak, 188,514 added, 188,125 deleted).
% 35.83/35.99 ; Retrieved 172,294 generalization terms in 140,177 calls.
% 35.83/35.99 ; Retrieved 209,448 instance terms in 42,510 calls.
% 35.83/35.99 ; Retrieved 46,122,383 unifiable terms in 807,392 calls.
% 35.83/35.99 ;
% 35.83/35.99 ; The agenda of backward simplifiable rows to process has 1 entry:
% 35.83/35.99 ; 1 with value 0
% 35.83/35.99 ; The agenda of rows to process has 13 entries:
% 35.83/35.99 ; 13 with value 12
% 35.83/35.99 ; The agenda of rows to give has 63 entries:
% 35.83/35.99 ; 3 with value (4 11) 1 with value (4 13) 56 with value (4 15)
% 35.83/35.99 ; 1 with value (4 12) 2 with value (4 14)
% 35.83/35.99 Evaluation took:
% 35.83/35.99 35.474 seconds of real time
% 35.83/35.99 34.338463 seconds of user run time
% 35.83/35.99 1.135847 seconds of system run time
% 35.83/35.99 [Run times include 3.63 seconds GC run time.]
% 35.83/35.99 0 calls to %EVAL
% 35.83/35.99 0 page faults and
% 35.83/35.99 1,592,868,312 bytes consed.
% 35.83/35.99 :PROOF-FOUND
% 35.83/35.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:57:15
% 35.83/35.99 :PROOF-FOUND
% 35.83/35.99 *
%------------------------------------------------------------------------------