TSTP Solution File: GEO636+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 06:17:05 EDT 2022
% Result : Theorem 5.01s 5.18s
% Output : Refutation 5.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 48 ( 24 unt; 0 nHn; 27 RR)
% Number of literals : 88 ( 0 equ; 42 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 : 163 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
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(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(115,negated_conjecture,
perp('SKOLEMAAAU27','SKOLEMAAAU24','SKOLEMAAAU21','SKOLEMAAAU23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
cnf(117,negated_conjecture,
~ perp('SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU27','SKOLEMAAAU26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
cnf(124,plain,
~ perp('SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU26','SKOLEMAAAU27'),
inference('UR-RESOLVE',[status(thm)],[6,117]) ).
cnf(125,plain,
perp('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU27','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(159,plain,
para('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[8,125,115]) ).
cnf(213,plain,
eqangle('SKOLEMAAAU21','SKOLEMAAAU23',X,Y,'SKOLEMAAAU21','SKOLEMAAAU23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,159]) ).
cnf(1891,plain,
eqangle('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,213]) ).
cnf(1892,plain,
eqangle(X,Y,'SKOLEMAAAU21','SKOLEMAAAU23',X,Y,'SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[18,213]) ).
cnf(3394,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1892]) ).
cnf(3400,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3394]) ).
cnf(3407,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3400,3400]) ).
cnf(4497,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3407,3407]) ).
cnf(4501,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,4497]) ).
cnf(4503,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,4497]) ).
cnf(4507,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU23','SKOLEMAAAU21',X),
inference('HYPERRESOLVE',[status(thm)],[4503,1891]) ).
cnf(4510,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,4507,4507]) ).
cnf(4514,plain,
cyclic('SKOLEMAAAU21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,4510,4510]) ).
cnf(4520,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,4514,4514]) ).
cnf(4521,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,4520]) ).
cnf(4522,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,4520]) ).
cnf(4523,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,4520]) ).
cnf(4524,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,4520]) ).
cnf(4559,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[4524,4523]) ).
cnf(4564,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4521,4559,4559]) ).
cnf(4569,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,4564]) ).
cnf(4571,plain,
circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[4522,4564]) ).
cnf(4575,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[4501,4571,4523]) ).
cnf(4620,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[4569,4575]) ).
cnf(4621,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,4620]) ).
cnf(4622,plain,
$false,
inference('REWRITE',[status(thm)],[124,4621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 02:39:28 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:39:28
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T02:39:28
% 0.21/0.52
% 0.21/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 5.01/5.18 ; Declaring coll to be commutative.
% 5.01/5.18
% 5.01/5.18 #||
% 5.01/5.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.01/5.18 % SZS output start Refutation
% See solution above
% 5.01/5.19 ||#
% 5.01/5.19
% 5.01/5.19 ; Summary of computation:
% 5.01/5.19 ; 32089 formulas have been input or derived (from 805 formulas).
% 5.01/5.19 ; 4622 (14%) were retained. Of these,
% 5.01/5.19 ; 3933 (85%) were simplified or subsumed later,
% 5.01/5.19 ; 689 (15%) are still being kept.
% 5.01/5.19 ;
% 5.01/5.19 ; Run time in seconds excluding printing time:
% 5.01/5.19 ; 0.031 1% Read assertion file (1 call)
% 5.01/5.19 ; 0.003 0% Assert (95 calls)
% 5.01/5.19 ; 0.243 5% Process new row (30,978 calls)
% 5.01/5.19 ; 3.984 85% Resolution (1,608 calls)
% 5.01/5.19 ; 0.004 0% Paramodulation (804 calls)
% 5.01/5.19 ; 0.003 0% Condensing (151 calls)
% 5.01/5.19 ; 0.002 0% Forward subsumption (151 calls)
% 5.01/5.19 ; 0.003 0% Backward subsumption (150 calls)
% 5.01/5.19 ; 0.001 0% Clause clause subsumption (179 calls)
% 5.01/5.19 ; 0.099 2% Forward simplification (21,144 calls)
% 5.01/5.19 ; 0.214 5% Backward simplification (4,622 calls)
% 5.01/5.19 ; 0.000 0% Ordering (44 calls)
% 5.01/5.19 ; 0.000 0% Sortal reasoning (32 calls)
% 5.01/5.19 ; 0.001 0% Purity testing (1 call)
% 5.01/5.19 ; 0.121 3% Other
% 5.01/5.19 ; 4.709 Total
% 5.01/5.19 ; 4.712 Real time
% 5.01/5.19 ;
% 5.01/5.19 ; Term-hash-array has 6,099 terms in all.
% 5.01/5.19 ; Feature-vector-row-index has 60 entries (129 at peak, 150 added, 90 deleted).
% 5.01/5.19 ; Feature-vector-row-index has 78 nodes (266 at peak, 289 added, 211 deleted).
% 5.01/5.19 ; Retrieved 159 possibly forward subsuming rows in 151 calls.
% 5.01/5.19 ; Retrieved 58 possibly backward subsumed rows in 150 calls.
% 5.01/5.19 ; Path-index has 753 entries (4,584 at peak, 6,133 added, 5,380 deleted).
% 5.01/5.19 ; Path-index has 848 nodes (1,362 at peak, 1,601 added, 753 deleted).
% 5.01/5.19 ; Trie-index has 753 entries (4,584 at peak, 6,133 added, 5,380 deleted).
% 5.01/5.19 ; Trie-index has 2,806 nodes (12,480 at peak, 16,234 added, 13,428 deleted).
% 5.01/5.19 ; Retrieved 21,405 generalization terms in 21,101 calls.
% 5.01/5.19 ; Retrieved 18,643 instance terms in 4,471 calls.
% 5.01/5.19 ; Retrieved 6,152,540 unifiable terms in 293,537 calls.
% 5.01/5.19 ;
% 5.01/5.19 ; The agenda of backward simplifiable rows to process has 8 entries:
% 5.01/5.19 ; 8 with value 0
% 5.01/5.19 ; The agenda of rows to process has 45 entries:
% 5.01/5.19 ; 11 with value 8 4 with value 14 4 with value 19
% 5.01/5.19 ; 4 with value 11 12 with value 15 1 with value 21
% 5.01/5.19 ; 8 with value 12 1 with value 18
% 5.01/5.19 ; The agenda of input rows to give has 1 entry:
% 5.01/5.19 ; 1 with value 6
% 5.01/5.19 ; The agenda of rows to give has 457 entries:
% 5.01/5.19 ; 2 with value (4 7) 170 with value (4 14) 5 with value (4 19)
% 5.01/5.19 ; 3 with value (4 8) 221 with value (4 15) 2 with value (4 20)
% 5.01/5.19 ; 3 with value (4 11) 7 with value (4 16) 1 with value (4 21)
% 5.01/5.19 ; 4 with value (4 12) 8 with value (4 17) 10 with value (4 22)
% 5.01/5.19 ; 9 with value (4 13) 10 with value (4 18) 2 with value (4 29)
% 5.01/5.19 Evaluation took:
% 5.01/5.19 4.713 seconds of real time
% 5.01/5.19 4.57296 seconds of user run time
% 5.01/5.19 0.139913 seconds of system run time
% 5.01/5.19 [Run times include 0.229 seconds GC run time.]
% 5.01/5.19 0 calls to %EVAL
% 5.01/5.19 0 page faults and
% 5.01/5.19 331,676,072 bytes consed.
% 5.01/5.19 :PROOF-FOUND
% 5.01/5.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:39:33
% 5.01/5.19 :PROOF-FOUND
% 5.01/5.19 *
%------------------------------------------------------------------------------