TSTP Solution File: GEO556+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:16:41 EDT 2022
% Result : Theorem 196.82s 197.04s
% Output : Refutation 196.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of clauses : 47 ( 24 unt; 0 nHn; 26 RR)
% Number of literals : 86 ( 0 equ; 41 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 : 159 ( 28 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(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(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(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(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(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(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(113,negated_conjecture,
perp('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012016) ).
cnf(127,negated_conjecture,
~ perp('SKOLEMAAAV23','SKOLEMAAAV31','SKOLEMAAAV25','SKOLEMAAAV26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012016) ).
cnf(153,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[7,113]) ).
cnf(159,plain,
~ perp('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV31'),
inference('UR-RESOLVE',[status(thm)],[7,127]) ).
cnf(279,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,153,113]) ).
cnf(513,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,279]) ).
cnf(21899,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,513]) ).
cnf(21900,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,513]) ).
cnf(26772,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,21900]) ).
cnf(26778,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,26772]) ).
cnf(26784,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,26778,26778]) ).
cnf(45702,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,26784,26784]) ).
cnf(45706,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,45702]) ).
cnf(45708,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,45702]) ).
cnf(45760,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[45708,21899]) ).
cnf(45763,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,45760,45760]) ).
cnf(45768,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,45763,45763]) ).
cnf(45811,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,45768,45768]) ).
cnf(45812,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,45811]) ).
cnf(45813,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,45811]) ).
cnf(45814,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,45811]) ).
cnf(45815,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,45811]) ).
cnf(45898,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[45815,45814]) ).
cnf(45951,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[45812,45898,45898]) ).
cnf(45956,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,45951]) ).
cnf(45958,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[45813,45951]) ).
cnf(45962,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[45706,45958,45814]) ).
cnf(46039,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[45956,45962]) ).
cnf(46040,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,46039]) ).
cnf(46041,plain,
$false,
inference('REWRITE',[status(thm)],[159,46040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 10:23:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:23:09
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T10:23:09
% 0.21/0.52
% 0.21/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 196.82/197.04 ; Declaring coll to be commutative.
% 196.82/197.04
% 196.82/197.04 #||
% 196.82/197.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 196.82/197.04 % SZS output start Refutation
% See solution above
% 196.82/197.07 ||#
% 196.82/197.07
% 196.82/197.07 ; Summary of computation:
% 196.82/197.07 ; 275122 formulas have been input or derived (from 2657 formulas).
% 196.82/197.07 ; 46041 (17%) were retained. Of these,
% 196.82/197.07 ; 44071 (96%) were simplified or subsumed later,
% 196.82/197.07 ; 1970 ( 4%) are still being kept.
% 196.82/197.07 ;
% 196.82/197.07 ; Run time in seconds excluding printing time:
% 196.82/197.07 ; 0.032 0% Read assertion file (1 call)
% 196.82/197.07 ; 0.004 0% Assert (95 calls)
% 196.82/197.07 ; 3.174 2% Process new row (272,042 calls)
% 196.82/197.07 ; 184.417 94% Resolution (5,312 calls)
% 196.82/197.07 ; 0.011 0% Paramodulation (2,656 calls)
% 196.82/197.07 ; 0.004 0% Condensing (158 calls)
% 196.82/197.07 ; 0.002 0% Forward subsumption (158 calls)
% 196.82/197.07 ; 0.000 0% Backward subsumption (156 calls)
% 196.82/197.07 ; 0.001 0% Clause clause subsumption (180 calls)
% 196.82/197.07 ; 1.065 1% Forward simplification (179,946 calls)
% 196.82/197.07 ; 6.979 4% Backward simplification (46,041 calls)
% 196.82/197.07 ; 0.000 0% Ordering (56 calls)
% 196.82/197.07 ; 0.000 0% Sortal reasoning (32 calls)
% 196.82/197.07 ; 0.001 0% Purity testing (1 call)
% 196.82/197.07 ; 0.822 0% Other
% 196.82/197.07 ; 196.512 Total
% 196.82/197.07 ; 196.591 Real time
% 196.82/197.07 ;
% 196.82/197.07 ; Term-hash-array has 65,416 terms in all.
% 196.82/197.07 ; Feature-vector-row-index has 60 entries (135 at peak, 156 added, 96 deleted).
% 196.82/197.07 ; Feature-vector-row-index has 78 nodes (329 at peak, 352 added, 274 deleted).
% 196.82/197.07 ; Retrieved 160 possibly forward subsuming rows in 158 calls.
% 196.82/197.07 ; Retrieved 58 possibly backward subsumed rows in 156 calls.
% 196.82/197.07 ; Path-index has 2,046 entries (58,263 at peak, 65,454 added, 63,408 deleted).
% 196.82/197.07 ; Path-index has 983 nodes (1,643 at peak, 1,900 added, 917 deleted).
% 196.82/197.07 ; Trie-index has 2,046 entries (58,263 at peak, 65,454 added, 63,408 deleted).
% 196.82/197.07 ; Trie-index has 7,592 nodes (129,532 at peak, 146,328 added, 138,736 deleted).
% 196.82/197.07 ; Retrieved 204,160 generalization terms in 179,915 calls.
% 196.82/197.07 ; Retrieved 169,297 instance terms in 45,884 calls.
% 196.82/197.07 ; Retrieved 176,130,817 unifiable terms in 6,297,069 calls.
% 196.82/197.07 ;
% 196.82/197.07 ; The agenda of backward simplifiable rows to process has 8 entries:
% 196.82/197.07 ; 8 with value 0
% 196.82/197.07 ; The agenda of rows to process has 141 entries:
% 196.82/197.07 ; 11 with value 8 36 with value 15 1 with value 18
% 196.82/197.07 ; 4 with value 11 24 with value 16 4 with value 19
% 196.82/197.07 ; 8 with value 12 48 with value 17 1 with value 21
% 196.82/197.07 ; 4 with value 14
% 196.82/197.07 ; The agenda of input rows to give has 1 entry:
% 196.82/197.07 ; 1 with value 6
% 196.82/197.07 ; The agenda of rows to give has 1344 entries:
% 196.82/197.07 ; 2 with value (4 7) 405 with value (4 14) 3 with value (4 19)
% 196.82/197.07 ; 3 with value (4 8) 855 with value (4 15) 2 with value (4 20)
% 196.82/197.07 ; 3 with value (4 11) 15 with value (4 16) 3 with value (4 21)
% 196.82/197.07 ; 2 with value (4 12) 12 with value (4 17) 8 with value (4 22)
% 196.82/197.07 ; 19 with value (4 13) 10 with value (4 18) 2 with value (4 29)
% 196.82/197.07 Evaluation took:
% 196.82/197.07 196.592 seconds of real time
% 196.82/197.07 194.67361 seconds of user run time
% 196.82/197.07 1.873062 seconds of system run time
% 196.82/197.07 [Run times include 8.504 seconds GC run time.]
% 196.82/197.07 0 calls to %EVAL
% 196.82/197.07 0 page faults and
% 196.82/197.07 6,915,379,432 bytes consed.
% 196.82/197.07 :PROOF-FOUND
% 196.82/197.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:26:26
% 196.82/197.07 :PROOF-FOUND
% 196.82/197.07 *
%------------------------------------------------------------------------------