TSTP Solution File: GEO594+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 06:16:53 EDT 2022
% Result : Theorem 5.21s 5.40s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of clauses : 44 ( 21 unt; 0 nHn; 26 RR)
% Number of literals : 83 ( 0 equ; 43 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 : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 161 ( 18 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(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(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
cnf(22,axiom,
( ~ cong(X,Y,Z,U)
| cong(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
cnf(23,axiom,
( ~ cong(X,Y,Z,U)
| cong(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(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(72,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ para(V,W,X1,Y1)
| para(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(117,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416056) ).
cnf(118,negated_conjecture,
~ cong('SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416056) ).
cnf(128,plain,
~ cong('SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV23'),
inference('UR-RESOLVE',[status(thm)],[22,118]) ).
cnf(137,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV24',X,Y,'SKOLEMAAAV26','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,117]) ).
cnf(176,plain,
~ cong('SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[23,128]) ).
cnf(233,plain,
~ cong('SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV23'),
inference('UR-RESOLVE',[status(thm)],[22,176]) ).
cnf(914,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,137]) ).
cnf(1654,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[19,914]) ).
cnf(3142,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,1654,117]) ).
cnf(3145,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,1654,914]) ).
cnf(3149,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3142]) ).
cnf(3152,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3149,3149]) ).
cnf(4342,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3152,3152]) ).
cnf(4346,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,4342]) ).
cnf(4348,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,4342]) ).
cnf(4803,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4348,3145]) ).
cnf(4806,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,4803,4803]) ).
cnf(4807,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,4806]) ).
cnf(4808,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,4806]) ).
cnf(4809,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,4806]) ).
cnf(4810,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,4806]) ).
cnf(4867,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[4810,4809]) ).
cnf(4928,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4807,4867,4867]) ).
cnf(4933,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,4928]) ).
cnf(4935,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[4808,4928]) ).
cnf(4957,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[4346,4935,4809]) ).
cnf(5014,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[4933,4957,233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.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 00:17:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:17:19
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T00:17:19
% 0.18/0.50
% 0.18/0.50 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 5.21/5.40 ; Declaring coll to be commutative.
% 5.21/5.40
% 5.21/5.40 #||
% 5.21/5.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.21/5.40 % SZS output start Refutation
% See solution above
% 5.21/5.41 ||#
% 5.21/5.41
% 5.21/5.41 ; Summary of computation:
% 5.21/5.41 ; 33773 formulas have been input or derived (from 571 formulas).
% 5.21/5.41 ; 5014 (15%) were retained. Of these,
% 5.21/5.41 ; 4297 (86%) were simplified or subsumed later,
% 5.21/5.41 ; 717 (14%) are still being kept.
% 5.21/5.41 ;
% 5.21/5.41 ; Run time in seconds excluding printing time:
% 5.21/5.41 ; 0.031 1% Read assertion file (1 call)
% 5.21/5.41 ; 0.006 0% Assert (95 calls)
% 5.21/5.41 ; 0.304 6% Process new row (32,739 calls)
% 5.21/5.41 ; 4.088 83% Resolution (1,140 calls)
% 5.21/5.41 ; 0.001 0% Paramodulation (570 calls)
% 5.21/5.41 ; 0.001 0% Factoring (15 calls)
% 5.21/5.41 ; 0.002 0% Condensing (313 calls)
% 5.21/5.41 ; 0.006 0% Forward subsumption (313 calls)
% 5.21/5.41 ; 0.005 0% Backward subsumption (231 calls)
% 5.21/5.41 ; 0.002 0% Clause clause subsumption (803 calls)
% 5.21/5.41 ; 0.115 2% Forward simplification (22,754 calls)
% 5.21/5.41 ; 0.254 5% Backward simplification (5,014 calls)
% 5.21/5.41 ; 0.001 0% Ordering (194 calls)
% 5.21/5.41 ; 0.000 0% Sortal reasoning (32 calls)
% 5.21/5.41 ; 0.000 0% Purity testing (1 call)
% 5.21/5.41 ; 0.120 2% Other
% 5.21/5.41 ; 4.936 Total
% 5.21/5.41 ; 4.952 Real time
% 5.21/5.41 ;
% 5.21/5.41 ; Term-hash-array has 6,926 terms in all.
% 5.24/5.41 ; Feature-vector-row-index has 111 entries (159 at peak, 231 added, 120 deleted).
% 5.24/5.41 ; Feature-vector-row-index has 268 nodes (484 at peak, 729 added, 461 deleted).
% 5.24/5.41 ; Retrieved 875 possibly forward subsuming rows in 313 calls.
% 5.24/5.41 ; Retrieved 199 possibly backward subsumed rows in 231 calls.
% 5.24/5.41 ; Path-index has 847 entries (5,086 at peak, 6,958 added, 6,111 deleted).
% 5.24/5.41 ; Path-index has 2,181 nodes (2,568 at peak, 3,418 added, 1,237 deleted).
% 5.24/5.41 ; Trie-index has 847 entries (5,086 at peak, 6,958 added, 6,111 deleted).
% 5.24/5.41 ; Trie-index has 3,563 nodes (18,037 at peak, 24,763 added, 21,200 deleted).
% 5.24/5.41 ; Retrieved 25,771 generalization terms in 22,883 calls.
% 5.24/5.41 ; Retrieved 19,070 instance terms in 4,782 calls.
% 5.24/5.41 ; Retrieved 6,627,865 unifiable terms in 280,646 calls.
% 5.24/5.41 ;
% 5.24/5.41 ; The agenda of rows to process has 108 entries:
% 5.24/5.41 ; 1 with value 7 1 with value 13 4 with value 18
% 5.24/5.41 ; 16 with value 8 16 with value 14 1 with value 19
% 5.24/5.41 ; 8 with value 10 25 with value 15 6 with value 21
% 5.24/5.41 ; 8 with value 11 4 with value 16 4 with value 24
% 5.24/5.41 ; 6 with value 12 4 with value 17 4 with value 25
% 5.24/5.41 ; The agenda of rows to give has 491 entries:
% 5.24/5.41 ; 2 with value (4 7) 173 with value (4 15) 2 with value (4 22)
% 5.24/5.41 ; 8 with value (4 8) 37 with value (4 16) 2 with value (4 23)
% 5.24/5.41 ; 4 with value (4 9) 28 with value (4 17) 6 with value (4 24)
% 5.24/5.41 ; 9 with value (4 10) 8 with value (4 18) 2 with value (4 25)
% 5.24/5.41 ; 8 with value (4 11) 47 with value (4 19) 5 with value (4 27)
% 5.24/5.41 ; 14 with value (4 12) 22 with value (4 20) 2 with value (4 29)
% 5.24/5.41 ; 16 with value (4 13) 3 with value (4 21) 4 with value (4 35)
% 5.24/5.41 ; 89 with value (4 14)
% 5.24/5.41 Evaluation took:
% 5.24/5.41 4.953 seconds of real time
% 5.24/5.41 4.787361 seconds of user run time
% 5.24/5.41 0.165203 seconds of system run time
% 5.24/5.41 [Run times include 0.289 seconds GC run time.]
% 5.24/5.41 0 calls to %EVAL
% 5.24/5.41 0 page faults and
% 5.24/5.41 331,022,808 bytes consed.
% 5.24/5.41 :PROOF-FOUND
% 5.24/5.41 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:17:24
% 5.24/5.41 :PROOF-FOUND
% 5.24/5.41 *
%------------------------------------------------------------------------------