TSTP Solution File: GEO602+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO602+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 06:16:55 EDT 2022
% Result : Theorem 14.04s 14.28s
% Output : Refutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of clauses : 49 ( 25 unt; 0 nHn; 28 RR)
% Number of literals : 89 ( 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 : 9 ( 9 usr; 7 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(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(98,axiom,
( ~ circle(X,Y,Z,U)
| perp('SKOLEMAAAV12'(X,Y,Z,U),Y,Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(122,negated_conjecture,
circle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV37'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618064) ).
cnf(123,negated_conjecture,
~ perp('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618064) ).
cnf(133,plain,
~ perp('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[7,123]) ).
cnf(142,plain,
perp('SKOLEMAAAV12'('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV37'),'SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[98,122]) ).
cnf(422,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV12'('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV37'),'SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,142]) ).
cnf(1388,plain,
para('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[8,422,142]) ).
cnf(1404,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV21',X,Y,'SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,1388]) ).
cnf(2672,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,1404]) ).
cnf(2673,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV21',X,Y,'SKOLEMAAAV23','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[18,1404]) ).
cnf(4089,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2673]) ).
cnf(4095,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4089]) ).
cnf(4105,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4095,4095]) ).
cnf(9187,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4105,4105]) ).
cnf(9191,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,9187]) ).
cnf(9193,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,9187]) ).
cnf(9204,plain,
cyclic('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[9193,2672]) ).
cnf(9524,plain,
cyclic('SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,9204,9204]) ).
cnf(9773,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,9524,9524]) ).
cnf(11347,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,9773,9773]) ).
cnf(11348,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,11347]) ).
cnf(11349,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,11347]) ).
cnf(11350,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,11347]) ).
cnf(11351,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,11347]) ).
cnf(11456,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[11351,11350]) ).
cnf(11565,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[11348,11456,11456]) ).
cnf(11570,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,11565]) ).
cnf(11572,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[11349,11565]) ).
cnf(11576,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[9191,11572,11350]) ).
cnf(11654,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[11570,11576]) ).
cnf(11655,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,11654]) ).
cnf(11656,plain,
$false,
inference('REWRITE',[status(thm)],[133,11655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 20:45:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:45:08
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-17T20:45:08
% 0.38/0.55
% 0.38/0.55 WARNING: In quantification, variable ?M is being rebound.
% 0.38/0.55 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 14.04/14.28 ; Declaring coll to be commutative.
% 14.04/14.28
% 14.04/14.28 #||
% 14.04/14.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.04/14.28 % SZS output start Refutation
% See solution above
% 14.04/14.28 ||#
% 14.04/14.28
% 14.04/14.28 ; Summary of computation:
% 14.04/14.28 ; 75736 formulas have been input or derived (from 1292 formulas).
% 14.04/14.28 ; 11656 (15%) were retained. Of these,
% 14.04/14.28 ; 9626 (83%) were simplified or subsumed later,
% 14.04/14.28 ; 2030 (17%) are still being kept.
% 14.04/14.28 ;
% 14.04/14.28 ; Run time in seconds excluding printing time:
% 14.04/14.28 ; 0.032 0% Read assertion file (1 call)
% 14.04/14.28 ; 0.004 0% Assert (95 calls)
% 14.04/14.28 ; 0.604 4% Process new row (74,324 calls)
% 14.04/14.28 ; 11.878 86% Resolution (2,582 calls)
% 14.04/14.28 ; 0.006 0% Paramodulation (1,291 calls)
% 14.04/14.28 ; 0.003 0% Condensing (142 calls)
% 14.04/14.28 ; 0.001 0% Forward subsumption (142 calls)
% 14.04/14.28 ; 0.003 0% Backward subsumption (140 calls)
% 14.04/14.28 ; 0.001 0% Clause clause subsumption (180 calls)
% 14.04/14.28 ; 0.260 2% Forward simplification (47,511 calls)
% 14.04/14.28 ; 0.731 5% Backward simplification (11,656 calls)
% 14.04/14.28 ; 0.001 0% Ordering (24 calls)
% 14.04/14.28 ; 0.000 0% Sortal reasoning (32 calls)
% 14.04/14.28 ; 0.000 0% Purity testing (1 call)
% 14.04/14.28 ; 0.252 2% Other
% 14.04/14.28 ; 13.776 Total
% 14.04/14.28 ; 13.779 Real time
% 14.04/14.29 ;
% 14.04/14.29 ; Term-hash-array has 15,896 terms in all.
% 14.04/14.29 ; Feature-vector-row-index has 60 entries (119 at peak, 140 added, 80 deleted).
% 14.04/14.29 ; Feature-vector-row-index has 78 nodes (207 at peak, 230 added, 152 deleted).
% 14.04/14.29 ; Retrieved 160 possibly forward subsuming rows in 142 calls.
% 14.04/14.29 ; Retrieved 58 possibly backward subsumed rows in 140 calls.
% 14.04/14.29 ; Path-index has 2,417 entries (11,583 at peak, 15,940 added, 13,523 deleted).
% 14.04/14.29 ; Path-index has 1,549 nodes (2,505 at peak, 3,255 added, 1,706 deleted).
% 14.04/14.29 ; Trie-index has 2,417 entries (11,583 at peak, 15,940 added, 13,523 deleted).
% 14.04/14.29 ; Trie-index has 8,512 nodes (30,390 at peak, 44,920 added, 36,408 deleted).
% 14.04/14.29 ; Retrieved 59,373 generalization terms in 47,448 calls.
% 14.04/14.29 ; Retrieved 37,784 instance terms in 11,515 calls.
% 14.04/14.29 ; Retrieved 18,676,869 unifiable terms in 1,121,223 calls.
% 14.04/14.29 ;
% 14.04/14.29 ; The agenda of backward simplifiable rows to process has 8 entries:
% 14.04/14.29 ; 8 with value 0
% 14.04/14.29 ; The agenda of rows to process has 118 entries:
% 14.04/14.29 ; 11 with value 8 8 with value 14 4 with value 19
% 14.04/14.29 ; 14 with value 9 26 with value 15 1 with value 20
% 14.04/14.29 ; 22 with value 12 4 with value 16 10 with value 21
% 14.04/14.29 ; 4 with value 13 14 with value 18
% 14.04/14.29 ; The agenda of input rows to give has 1 entry:
% 14.04/14.29 ; 1 with value 6
% 14.04/14.29 ; The agenda of rows to give has 1556 entries:
% 14.04/14.29 ; 2 with value (4 7) 76 with value (4 14) 154 with value (4 20)
% 14.04/14.29 ; 15 with value (4 8) 606 with value (4 15) 120 with value (4 21)
% 14.04/14.29 ; 2 with value (4 10) 77 with value (4 16) 13 with value (4 22)
% 14.04/14.29 ; 3 with value (4 11) 24 with value (4 17) 17 with value (4 23)
% 14.04/14.29 ; 8 with value (4 12) 108 with value (4 18) 4 with value (4 25)
% 14.04/14.29 ; 5 with value (4 13) 320 with value (4 19) 2 with value (4 29)
% 14.04/14.29 Evaluation took:
% 14.04/14.29 13.78 seconds of real time
% 14.04/14.29 13.44351 seconds of user run time
% 14.04/14.29 0.337074 seconds of system run time
% 14.04/14.29 [Run times include 0.668 seconds GC run time.]
% 14.04/14.29 0 calls to %EVAL
% 14.04/14.29 0 page faults and
% 14.04/14.29 993,308,288 bytes consed.
% 14.04/14.29 :PROOF-FOUND
% 14.04/14.29 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:45:22
% 14.04/14.29 :PROOF-FOUND
% 14.04/14.29 *
%------------------------------------------------------------------------------