TSTP Solution File: GEO550+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO550+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 06:16:40 EDT 2022
% Result : Theorem 16.61s 16.84s
% Output : Refutation 16.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of clauses : 33 ( 18 unt; 0 nHn; 23 RR)
% Number of literals : 52 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 92 ( 8 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(13,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
cnf(14,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(X,Z,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
cnf(15,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(Y,X,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(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(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(98,axiom,
( ~ circle(X,Y,Z,U)
| perp('SKOLEMAAAX12'(X,Y,Z,U),Y,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
cnf(119,negated_conjecture,
circle('SKOLEMAAAX28','SKOLEMAAAX21','SKOLEMAAAX29','SKOLEMAAAX31'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012010) ).
cnf(120,negated_conjecture,
~ cyclic('SKOLEMAAAX25','SKOLEMAAAX24','SKOLEMAAAX29','SKOLEMAAAX21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012010) ).
cnf(129,plain,
~ cyclic('SKOLEMAAAX25','SKOLEMAAAX24','SKOLEMAAAX21','SKOLEMAAAX29'),
inference('UR-RESOLVE',[status(thm)],[13,120]) ).
cnf(140,plain,
perp('SKOLEMAAAX12'('SKOLEMAAAX28','SKOLEMAAAX21','SKOLEMAAAX29','SKOLEMAAAX31'),'SKOLEMAAAX21','SKOLEMAAAX21','SKOLEMAAAX28'),
inference('HYPERRESOLVE',[status(thm)],[98,119]) ).
cnf(172,plain,
~ cyclic('SKOLEMAAAX25','SKOLEMAAAX21','SKOLEMAAAX24','SKOLEMAAAX29'),
inference('UR-RESOLVE',[status(thm)],[14,129]) ).
cnf(221,plain,
~ cyclic('SKOLEMAAAX21','SKOLEMAAAX25','SKOLEMAAAX24','SKOLEMAAAX29'),
inference('UR-RESOLVE',[status(thm)],[15,172]) ).
cnf(276,plain,
perp('SKOLEMAAAX21','SKOLEMAAAX28','SKOLEMAAAX12'('SKOLEMAAAX28','SKOLEMAAAX21','SKOLEMAAAX29','SKOLEMAAAX31'),'SKOLEMAAAX21'),
inference('HYPERRESOLVE',[status(thm)],[7,140]) ).
cnf(284,plain,
para('SKOLEMAAAX21','SKOLEMAAAX28','SKOLEMAAAX21','SKOLEMAAAX28'),
inference('HYPERRESOLVE',[status(thm)],[8,276,140]) ).
cnf(289,plain,
eqangle('SKOLEMAAAX21','SKOLEMAAAX28',X,Y,'SKOLEMAAAX21','SKOLEMAAAX28',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,284]) ).
cnf(1516,plain,
eqangle('SKOLEMAAAX21','SKOLEMAAAX28','SKOLEMAAAX21','SKOLEMAAAX28',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,289]) ).
cnf(1517,plain,
eqangle(X,Y,'SKOLEMAAAX21','SKOLEMAAAX28',X,Y,'SKOLEMAAAX21','SKOLEMAAAX28'),
inference('HYPERRESOLVE',[status(thm)],[18,289]) ).
cnf(3991,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1517]) ).
cnf(3997,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3991]) ).
cnf(4001,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3997,3997]) ).
cnf(8281,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4001,4001]) ).
cnf(8287,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,8281]) ).
cnf(8294,plain,
cyclic('SKOLEMAAAX28','SKOLEMAAAX28','SKOLEMAAAX21',X),
inference('HYPERRESOLVE',[status(thm)],[8287,1516]) ).
cnf(8337,plain,
cyclic('SKOLEMAAAX28','SKOLEMAAAX21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,8294,8294]) ).
cnf(8351,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[16,8337,8337,221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : GEO550+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 12:56:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 *
% 0.18/0.48 *
% 0.18/0.49 #<PACKAGE "SNARK-USER">
% 0.18/0.49 *
% 0.18/0.49 SNARK-TPTP-OPTIONS
% 0.18/0.49 *
% 0.18/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.49 (USE-FACTORING :POS)
% 0.18/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.49 *
% 0.18/0.49 "."
% 0.18/0.49 *
% 0.18/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:56:23
% 0.18/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T12:56:23
% 0.18/0.53
% 0.18/0.54 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.54 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 16.61/16.84 ; Declaring coll to be commutative.
% 16.61/16.84
% 16.61/16.84 #||
% 16.61/16.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.61/16.84 % SZS output start Refutation
% See solution above
% 16.61/16.84 ||#
% 16.61/16.84
% 16.61/16.84 ; Summary of computation:
% 16.61/16.84 ; 62881 formulas have been input or derived (from 799 formulas).
% 16.61/16.84 ; 8351 (13%) were retained. Of these,
% 16.61/16.84 ; 6899 (83%) were simplified or subsumed later,
% 16.61/16.84 ; 1452 (17%) are still being kept.
% 16.61/16.84 ;
% 16.61/16.84 ; Run time in seconds excluding printing time:
% 16.61/16.84 ; 0.032 0% Read assertion file (1 call)
% 16.61/16.84 ; 0.006 0% Assert (95 calls)
% 16.61/16.84 ; 0.520 3% Process new row (61,846 calls)
% 16.61/16.84 ; 14.622 89% Resolution (1,596 calls)
% 16.61/16.84 ; 0.005 0% Paramodulation (798 calls)
% 16.61/16.84 ; 0.002 0% Condensing (130 calls)
% 16.61/16.84 ; 0.002 0% Forward subsumption (130 calls)
% 16.61/16.84 ; 0.002 0% Backward subsumption (129 calls)
% 16.61/16.84 ; 0.001 0% Clause clause subsumption (163 calls)
% 16.61/16.84 ; 0.218 1% Forward simplification (38,290 calls)
% 16.61/16.84 ; 0.708 4% Backward simplification (8,351 calls)
% 16.61/16.84 ; 0.000 0% Ordering (24 calls)
% 16.61/16.84 ; 0.000 0% Sortal reasoning (32 calls)
% 16.61/16.84 ; 0.000 0% Purity testing (1 call)
% 16.61/16.84 ; 0.221 1% Other
% 16.61/16.84 ; 16.339 Total
% 16.61/16.84 ; 16.350 Real time
% 16.61/16.84 ;
% 16.61/16.84 ; Term-hash-array has 11,666 terms in all.
% 16.61/16.84 ; Feature-vector-row-index has 84 entries (121 at peak, 129 added, 45 deleted).
% 16.61/16.84 ; Feature-vector-row-index has 114 nodes (222 at peak, 230 added, 116 deleted).
% 16.61/16.84 ; Retrieved 147 possibly forward subsuming rows in 130 calls.
% 16.61/16.84 ; Retrieved 50 possibly backward subsumed rows in 129 calls.
% 16.61/16.84 ; Path-index has 1,598 entries (10,162 at peak, 11,686 added, 10,088 deleted).
% 16.61/16.84 ; Path-index has 1,457 nodes (1,939 at peak, 2,044 added, 587 deleted).
% 16.61/16.84 ; Trie-index has 1,598 entries (10,162 at peak, 11,686 added, 10,088 deleted).
% 16.61/16.84 ; Trie-index has 4,607 nodes (26,211 at peak, 30,046 added, 25,439 deleted).
% 16.61/16.84 ; Retrieved 46,196 generalization terms in 38,214 calls.
% 16.61/16.84 ; Retrieved 21,908 instance terms in 8,221 calls.
% 16.61/16.84 ; Retrieved 17,279,694 unifiable terms in 946,849 calls.
% 16.61/16.84 ;
% 16.61/16.84 ; The agenda of rows to process has 28 entries:
% 16.61/16.84 ; 22 with value 14 6 with value 18
% 16.61/16.84 ; The agenda of rows to give has 1024 entries:
% 16.61/16.84 ; 8 with value (4 13) 58 with value (4 18) 68 with value (4 23)
% 16.61/16.84 ; 22 with value (4 14) 140 with value (4 19) 8 with value (4 24)
% 16.61/16.84 ; 571 with value (4 15) 22 with value (4 20) 6 with value (4 25)
% 16.61/16.84 ; 57 with value (4 16) 7 with value (4 21) 1 with value (4 28)
% 16.61/16.84 ; 25 with value (4 17) 29 with value (4 22) 2 with value (4 29)
% 16.61/16.84 Evaluation took:
% 16.61/16.84 16.352 seconds of real time
% 16.61/16.84 15.996926 seconds of user run time
% 16.61/16.84 0.347752 seconds of system run time
% 16.61/16.84 [Run times include 0.668 seconds GC run time.]
% 16.61/16.84 0 calls to %EVAL
% 16.61/16.84 0 page faults and
% 16.61/16.84 894,008,176 bytes consed.
% 16.61/16.84 :PROOF-FOUND
% 16.61/16.84 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:56:39
% 16.61/16.87 :PROOF-FOUND
% 16.61/16.87 *
%------------------------------------------------------------------------------