TSTP Solution File: GEO553+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 44.77s 44.99s
% Output : Refutation 44.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 47 ( 22 unt; 0 nHn; 25 RR)
% Number of literals : 91 ( 0 equ; 46 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 : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 188 ( 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(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(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(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(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(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(112,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012013) ).
cnf(122,negated_conjecture,
~ para('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012013) ).
cnf(152,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,112]) ).
cnf(3238,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,152]) ).
cnf(7188,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[19,3238]) ).
cnf(16718,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,7188,112]) ).
cnf(16721,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,7188,3238]) ).
cnf(16732,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,16718]) ).
cnf(16736,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,16732,16732]) ).
cnf(20810,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,16736,16736]) ).
cnf(20811,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,20810]) ).
cnf(20814,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,20810]) ).
cnf(20816,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,20810]) ).
cnf(23679,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[20816,16721]) ).
cnf(23695,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,23679,23679]) ).
cnf(23696,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,23695]) ).
cnf(23697,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,23695]) ).
cnf(23698,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,23695]) ).
cnf(23699,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,23695]) ).
cnf(23878,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[23699,23698]) ).
cnf(23947,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[23696,23878,23878]) ).
cnf(23952,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,23947]) ).
cnf(23953,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[20811,23947]) ).
cnf(23954,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[23697,23947]) ).
cnf(23960,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[20814,23954,23698]) ).
cnf(23969,plain,
~ perp('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV27','SKOLEMAAAV28'),X),
inference('UR-RESOLVE',[status(thm)],[8,23953,122]) ).
cnf(24057,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[23952,23960]) ).
cnf(24058,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,24057]) ).
cnf(24059,plain,
$false,
inference('REWRITE',[status(thm)],[23969,24058]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 15:54:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:54:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T15:54:58
% 0.19/0.51
% 0.19/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 44.77/44.99 ; Declaring coll to be commutative.
% 44.77/44.99
% 44.77/44.99 #||
% 44.77/44.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.77/44.99 % SZS output start Refutation
% See solution above
% 44.77/45.00 ||#
% 44.77/45.00
% 44.77/45.00 ; Summary of computation:
% 44.77/45.00 ; 137512 formulas have been input or derived (from 1844 formulas).
% 44.77/45.00 ; 24059 (17%) were retained. Of these,
% 44.77/45.00 ; 20323 (84%) were simplified or subsumed later,
% 44.77/45.00 ; 3736 (16%) are still being kept.
% 44.77/45.00 ;
% 44.77/45.00 ; Run time in seconds excluding printing time:
% 44.77/45.00 ; 0.031 0% Read assertion file (1 call)
% 44.77/45.00 ; 0.004 0% Assert (95 calls)
% 44.77/45.00 ; 1.384 3% Process new row (134,831 calls)
% 44.77/45.00 ; 39.904 90% Resolution (3,686 calls)
% 44.77/45.00 ; 0.007 0% Paramodulation (1,843 calls)
% 44.77/45.00 ; 0.003 0% Condensing (149 calls)
% 44.77/45.00 ; 0.000 0% Forward subsumption (149 calls)
% 44.77/45.00 ; 0.003 0% Backward subsumption (148 calls)
% 44.77/45.00 ; 0.000 0% Clause clause subsumption (174 calls)
% 44.77/45.00 ; 0.579 1% Forward simplification (101,074 calls)
% 44.77/45.00 ; 2.239 5% Backward simplification (24,059 calls)
% 44.77/45.00 ; 0.000 0% Ordering (40 calls)
% 44.77/45.00 ; 0.001 0% Sortal reasoning (32 calls)
% 44.77/45.00 ; 0.001 0% Purity testing (1 call)
% 44.77/45.00 ; 0.366 1% Other
% 44.77/45.00 ; 44.522 Total
% 44.77/45.00 ; 44.528 Real time
% 44.77/45.00 ;
% 44.77/45.00 ; Term-hash-array has 32,896 terms in all.
% 44.77/45.00 ; Feature-vector-row-index has 60 entries (127 at peak, 148 added, 88 deleted).
% 44.77/45.00 ; Feature-vector-row-index has 78 nodes (278 at peak, 301 added, 223 deleted).
% 44.77/45.00 ; Retrieved 156 possibly forward subsuming rows in 149 calls.
% 44.77/45.00 ; Retrieved 56 possibly backward subsumed rows in 148 calls.
% 44.77/45.00 ; Path-index has 3,792 entries (25,268 at peak, 32,930 added, 29,138 deleted).
% 44.77/45.00 ; Path-index has 886 nodes (1,518 at peak, 1,842 added, 956 deleted).
% 44.77/45.00 ; Trie-index has 3,792 entries (25,268 at peak, 32,930 added, 29,138 deleted).
% 44.77/45.00 ; Trie-index has 12,349 nodes (59,394 at peak, 79,616 added, 67,267 deleted).
% 44.77/45.00 ; Retrieved 112,454 generalization terms in 101,026 calls.
% 44.77/45.00 ; Retrieved 118,270 instance terms in 23,910 calls.
% 44.77/45.00 ; Retrieved 48,920,835 unifiable terms in 1,230,589 calls.
% 44.77/45.00 ;
% 44.77/45.00 ; The agenda of backward simplifiable rows to process has 8 entries:
% 44.77/45.00 ; 8 with value 0
% 44.77/45.00 ; The agenda of rows to process has 210 entries:
% 44.77/45.00 ; 19 with value 8 4 with value 12 70 with value 17
% 44.77/45.00 ; 16 with value 9 16 with value 14 1 with value 18
% 44.77/45.00 ; 12 with value 10 28 with value 15 1 with value 19
% 44.77/45.00 ; 10 with value 11 32 with value 16 1 with value 21
% 44.77/45.00 ; The agenda of input rows to give has 1 entry:
% 44.77/45.00 ; 1 with value 6
% 44.77/45.00 ; The agenda of rows to give has 2860 entries:
% 44.77/45.00 ; 10 with value (4 7) 24 with value (4 13) 11 with value (4 17)
% 44.77/45.00 ; 3 with value (4 8) 329 with value (4 14) 1 with value (4 18)
% 44.77/45.00 ; 4 with value (4 10) 2434 with value (4 15) 1 with value (4 19)
% 44.77/45.00 ; 7 with value (4 11) 24 with value (4 16) 2 with value (4 29)
% 44.77/45.00 ; 10 with value (4 12)
% 44.77/45.00 Evaluation took:
% 44.77/45.00 44.529 seconds of real time
% 44.77/45.00 43.72176 seconds of user run time
% 44.77/45.00 0.806008 seconds of system run time
% 44.77/45.00 [Run times include 2.18 seconds GC run time.]
% 44.77/45.00 0 calls to %EVAL
% 44.77/45.00 0 page faults and
% 44.77/45.00 1,732,539,680 bytes consed.
% 44.77/45.00 :PROOF-FOUND
% 44.77/45.00 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:55:43
% 44.77/45.00 :PROOF-FOUND
% 44.77/45.00 *
%------------------------------------------------------------------------------