TSTP Solution File: GEO589+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 06:16:51 EDT 2022
% Result : Theorem 1.81s 2.00s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 39 ( 21 unt; 0 nHn; 25 RR)
% Number of literals : 67 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 121 ( 15 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(4,axiom,
( ~ para(X,Y,Z,U)
| para(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
cnf(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(113,negated_conjecture,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).
cnf(117,negated_conjecture,
~ para('SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).
cnf(121,plain,
~ para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[4,117]) ).
cnf(122,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[6,113]) ).
cnf(123,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,113]) ).
cnf(142,plain,
~ perp('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[8,122,121]) ).
cnf(143,plain,
para('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,123,113]) ).
cnf(174,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV25',X,Y,'SKOLEMAAAV22','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,143]) ).
cnf(666,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,174]) ).
cnf(667,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV25',X,Y,'SKOLEMAAAV22','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,174]) ).
cnf(1615,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,667]) ).
cnf(1621,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,1615]) ).
cnf(1624,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,1621,1621]) ).
cnf(1979,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,1624,1624]) ).
cnf(1985,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,1979]) ).
cnf(1993,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[1985,666]) ).
cnf(2084,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,1993,1993]) ).
cnf(2090,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,2084,2084]) ).
cnf(2279,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,2090,2090]) ).
cnf(2280,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,2279]) ).
cnf(2282,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,2279]) ).
cnf(2283,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,2279]) ).
cnf(2349,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2283,2282]) ).
cnf(2392,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[2280,2349,2349,142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 10:32:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:32:53
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T10:32:53
% 0.36/0.54
% 0.36/0.54 WARNING: In quantification, variable ?M is being rebound.
% 0.36/0.54 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 1.81/2.00 ; Declaring coll to be commutative.
% 1.81/2.00
% 1.81/2.00 #||
% 1.81/2.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.00 % SZS output start Refutation
% See solution above
% 1.81/2.00 ||#
% 1.81/2.00
% 1.81/2.00 ; Summary of computation:
% 1.81/2.00 ; 14230 formulas have been input or derived (from 453 formulas).
% 1.81/2.00 ; 2392 (17%) were retained. Of these,
% 1.81/2.00 ; 1667 (70%) were simplified or subsumed later,
% 1.81/2.00 ; 725 (30%) are still being kept.
% 1.81/2.00 ;
% 1.81/2.00 ; Run time in seconds excluding printing time:
% 1.81/2.00 ; 0.031 2% Read assertion file (1 call)
% 1.81/2.00 ; 0.004 0% Assert (95 calls)
% 1.81/2.00 ; 0.154 10% Process new row (13,590 calls)
% 1.81/2.00 ; 1.116 74% Resolution (904 calls)
% 1.81/2.00 ; 0.001 0% Paramodulation (452 calls)
% 1.81/2.00 ; 0.002 0% Condensing (136 calls)
% 1.81/2.00 ; 0.002 0% Forward subsumption (136 calls)
% 1.81/2.00 ; 0.002 0% Backward subsumption (134 calls)
% 1.81/2.00 ; 0.001 0% Clause clause subsumption (168 calls)
% 1.81/2.00 ; 0.044 3% Forward simplification (9,287 calls)
% 1.81/2.00 ; 0.079 5% Backward simplification (2,392 calls)
% 1.81/2.00 ; 0.000 0% Ordering (24 calls)
% 1.81/2.00 ; 0.001 0% Sortal reasoning (32 calls)
% 1.81/2.00 ; 0.000 0% Purity testing (1 call)
% 1.81/2.00 ; 0.066 4% Other
% 1.81/2.00 ; 1.503 Total
% 1.81/2.00 ; 1.506 Real time
% 1.81/2.00 ;
% 1.81/2.00 ; Term-hash-array has 3,044 terms in all.
% 1.81/2.00 ; Feature-vector-row-index has 77 entries (121 at peak, 134 added, 57 deleted).
% 1.81/2.00 ; Feature-vector-row-index has 101 nodes (222 at peak, 236 added, 135 deleted).
% 1.81/2.00 ; Retrieved 150 possibly forward subsuming rows in 136 calls.
% 1.81/2.00 ; Retrieved 52 possibly backward subsumed rows in 134 calls.
% 1.81/2.00 ; Path-index has 820 entries (2,018 at peak, 3,069 added, 2,249 deleted).
% 1.81/2.00 ; Path-index has 1,115 nodes (1,288 at peak, 1,609 added, 494 deleted).
% 1.81/2.00 ; Trie-index has 820 entries (2,018 at peak, 3,069 added, 2,249 deleted).
% 1.81/2.00 ; Trie-index has 2,945 nodes (6,087 at peak, 9,429 added, 6,484 deleted).
% 1.81/2.00 ; Retrieved 9,639 generalization terms in 9,216 calls.
% 1.81/2.00 ; Retrieved 8,905 instance terms in 2,257 calls.
% 1.81/2.00 ; Retrieved 1,832,097 unifiable terms in 91,754 calls.
% 1.81/2.00 ;
% 1.81/2.00 ; The agenda of rows to process has 84 entries:
% 1.81/2.00 ; 1 with value 7 1 with value 12 12 with value 20
% 1.81/2.00 ; 18 with value 8 26 with value 14 6 with value 23
% 1.81/2.00 ; 2 with value 9 12 with value 19 4 with value 25
% 1.81/2.00 ; 2 with value 11
% 1.81/2.00 ; The agenda of rows to give has 534 entries:
% 1.81/2.00 ; 3 with value (4 7) 21 with value (4 13) 134 with value (4 18)
% 1.81/2.00 ; 6 with value (4 8) 146 with value (4 14) 46 with value (4 19)
% 1.81/2.00 ; 2 with value (4 9) 113 with value (4 15) 24 with value (4 20)
% 1.81/2.00 ; 2 with value (4 10) 1 with value (4 16) 3 with value (4 22)
% 1.81/2.00 ; 4 with value (4 11) 15 with value (4 17) 12 with value (4 23)
% 1.81/2.00 ; 2 with value (4 12)
% 1.81/2.00 Evaluation took:
% 1.81/2.00 1.506 seconds of real time
% 1.81/2.00 1.425192 seconds of user run time
% 1.81/2.00 0.081125 seconds of system run time
% 1.81/2.00 [Run times include 0.069 seconds GC run time.]
% 1.81/2.00 0 calls to %EVAL
% 1.81/2.00 0 page faults and
% 1.81/2.00 108,073,600 bytes consed.
% 1.81/2.00 :PROOF-FOUND
% 1.81/2.00 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:32:54
% 1.81/2.00 :PROOF-FOUND
% 1.81/2.00 *
%------------------------------------------------------------------------------