TSTP Solution File: GEO541+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO541+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 06:16:37 EDT 2022
% Result : Theorem 4.47s 4.68s
% Output : Refutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of clauses : 45 ( 30 unt; 0 nHn; 45 RR)
% Number of literals : 70 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(X,Y,Z)
| coll(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(9,axiom,
( ~ para(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| perp(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
cnf(10,axiom,
( ~ midp(X,Y,Z)
| midp(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
cnf(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
cnf(24,axiom,
( ~ cong(X,Y,Z,U)
| ~ cong(Z,U,V,W)
| cong(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
cnf(44,axiom,
( ~ midp(X,Y,Z)
| ~ midp(U,Y,V)
| para(X,U,Z,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
cnf(53,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(X,Y,U)
| perp(Y,Z,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
cnf(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
cnf(67,axiom,
( ~ cong(X,Y,X,Z)
| ~ coll(X,Y,Z)
| midp(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
cnf(68,axiom,
( ~ midp(X,Y,Z)
| cong(X,Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
cnf(69,axiom,
( ~ midp(X,Y,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
cnf(114,negated_conjecture,
perp('SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
cnf(116,negated_conjecture,
midp('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
cnf(117,negated_conjecture,
midp('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
cnf(118,negated_conjecture,
~ perp('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
cnf(123,plain,
midp('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[10,117]) ).
cnf(124,plain,
midp('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[10,116]) ).
cnf(125,plain,
coll('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[69,117]) ).
cnf(126,plain,
coll('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[69,116]) ).
cnf(127,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[68,117]) ).
cnf(128,plain,
cong('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[68,116]) ).
cnf(132,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[7,114]) ).
cnf(170,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[68,123]) ).
cnf(196,plain,
cong('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[68,124]) ).
cnf(229,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[2,125,125]) ).
cnf(232,plain,
coll('SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[2,126,126]) ).
cnf(240,plain,
circle('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[11,127,127]) ).
cnf(258,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[6,132]) ).
cnf(302,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[1,229]) ).
cnf(310,plain,
coll('SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[1,232]) ).
cnf(323,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[24,170,127]) ).
cnf(346,plain,
cong('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[24,196,128]) ).
cnf(378,plain,
perp('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[53,240,125]) ).
cnf(426,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,258]) ).
cnf(835,plain,
midp('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[67,323,302]) ).
cnf(944,plain,
midp('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[67,346,310]) ).
cnf(1172,plain,
perp('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,378]) ).
cnf(1452,plain,
para('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,426,258]) ).
cnf(3224,plain,
~ para('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[9,1172,118]) ).
cnf(3349,plain,
midp('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[64,1452,944,1452]) ).
cnf(5455,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[44,3349,835]),3224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO541+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 12:37:13 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 2022-06-18T12:37:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-18T12:37:13
% 0.19/0.51
% 0.19/0.52 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)).
% 4.47/4.68 ; Declaring coll to be commutative.
% 4.47/4.68
% 4.47/4.68 #||
% 4.47/4.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.47/4.68 % SZS output start Refutation
% See solution above
% 4.47/4.68 ||#
% 4.47/4.68
% 4.47/4.68 ; Summary of computation:
% 4.47/4.68 ; 18124 formulas have been input or derived (from 438 formulas).
% 4.47/4.68 ; 5455 (30%) were retained. Of these,
% 4.47/4.68 ; 4 ( 0%) were simplified or subsumed later,
% 4.47/4.68 ; 5451 (100%) are still being kept.
% 4.47/4.68 ;
% 4.47/4.68 ; Run time in seconds excluding printing time:
% 4.47/4.68 ; 0.031 1% Read assertion file (1 call)
% 4.47/4.68 ; 0.004 0% Assert (95 calls)
% 4.47/4.68 ; 0.262 6% Process new row (17,230 calls)
% 4.47/4.68 ; 3.681 87% Resolution (874 calls)
% 4.47/4.68 ; 0.001 0% Paramodulation (437 calls)
% 4.47/4.68 ; 0.004 0% Condensing (112 calls)
% 4.47/4.68 ; 0.002 0% Forward subsumption (112 calls)
% 4.47/4.68 ; 0.006 0% Backward subsumption (111 calls)
% 4.47/4.68 ; 0.002 0% Clause clause subsumption (151 calls)
% 4.47/4.68 ; 0.086 2% Forward simplification (17,230 calls)
% 4.47/4.68 ; 0.048 1% Backward simplification (5,455 calls)
% 4.47/4.68 ; 0.000 0% Ordering (4 calls)
% 4.47/4.68 ; 0.000 0% Sortal reasoning (32 calls)
% 4.47/4.68 ; 0.000 0% Purity testing (1 call)
% 4.47/4.68 ; 0.085 2% Other
% 4.47/4.68 ; 4.212 Total
% 4.47/4.68 ; 4.214 Real time
% 4.47/4.69 ;
% 4.47/4.69 ; Term-hash-array has 7,632 terms in all.
% 4.47/4.69 ; Feature-vector-row-index has 111 entries (111 at peak, 111 added, 0 deleted).
% 4.47/4.69 ; Feature-vector-row-index has 162 nodes (162 at peak, 162 added, 0 deleted).
% 4.47/4.69 ; Retrieved 140 possibly forward subsuming rows in 112 calls.
% 4.47/4.69 ; Retrieved 45 possibly backward subsumed rows in 111 calls.
% 4.47/4.69 ; Path-index has 7,635 entries (7,635 at peak, 7,639 added, 4 deleted).
% 4.47/4.69 ; Path-index has 1,667 nodes (1,667 at peak, 1,667 added, 0 deleted).
% 4.47/4.69 ; Trie-index has 7,635 entries (7,635 at peak, 7,639 added, 4 deleted).
% 4.47/4.69 ; Trie-index has 19,994 nodes (19,994 at peak, 20,018 added, 24 deleted).
% 4.47/4.69 ; Retrieved 11,658 generalization terms in 17,108 calls.
% 4.47/4.69 ; Retrieved 5,505 instance terms in 5,343 calls.
% 4.47/4.69 ; Retrieved 5,441,895 unifiable terms in 237,638 calls.
% 4.47/4.69 ;
% 4.47/4.69 ; The agenda of rows to process has 293 entries:
% 4.47/4.69 ; 29 with value 12 56 with value 18 152 with value 19
% 4.47/4.69 ; 56 with value 16
% 4.47/4.69 ; The agenda of rows to give has 5013 entries:
% 4.47/4.69 ; 90 with value (4 11) 186 with value (4 14) 1395 with value (4 17)
% 4.47/4.69 ; 69 with value (4 12) 449 with value (4 15) 1503 with value (4 18)
% 4.47/4.69 ; 66 with value (4 13) 956 with value (4 16) 299 with value (4 19)
% 4.47/4.69 Evaluation took:
% 4.47/4.69 4.215 seconds of real time
% 4.47/4.69 4.128733 seconds of user run time
% 4.47/4.69 0.086029 seconds of system run time
% 4.47/4.69 [Run times include 0.173 seconds GC run time.]
% 4.47/4.69 0 calls to %EVAL
% 4.47/4.69 0 page faults and
% 4.47/4.69 251,268,904 bytes consed.
% 4.47/4.69 :PROOF-FOUND
% 4.47/4.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:37:17
% 4.47/4.69 :PROOF-FOUND
% 4.47/4.69 *
%------------------------------------------------------------------------------