TSTP Solution File: GEO654+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 06:17:11 EDT 2022
% Result : Theorem 11.58s 11.82s
% Output : Refutation 11.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of clauses : 52 ( 27 unt; 0 nHn; 31 RR)
% Number of literals : 93 ( 0 equ; 44 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 : 167 ( 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(3,axiom,
( ~ para(X,Y,Z,U)
| para(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
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(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(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/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(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(121,negated_conjecture,
perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
cnf(122,negated_conjecture,
~ para('SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
cnf(127,plain,
~ para('SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[3,122]) ).
cnf(129,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[6,121]) ).
cnf(130,plain,
perp('SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,121]) ).
cnf(159,plain,
perp('SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,129]) ).
cnf(161,plain,
para('SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[8,130,121]) ).
cnf(188,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[8,159,127]) ).
cnf(201,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV28',X,Y,'SKOLEMAAAV25','SKOLEMAAAV28',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,161]) ).
cnf(1684,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV28',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,201]) ).
cnf(1685,plain,
eqangle(X,Y,'SKOLEMAAAV25','SKOLEMAAAV28',X,Y,'SKOLEMAAAV25','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[18,201]) ).
cnf(4528,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1685]) ).
cnf(4534,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4528]) ).
cnf(4537,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4534,4534]) ).
cnf(7818,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4537,4537]) ).
cnf(7822,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,7818]) ).
cnf(7824,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,7818]) ).
cnf(7835,plain,
cyclic('SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV25',X),
inference('HYPERRESOLVE',[status(thm)],[7824,1684]) ).
cnf(8188,plain,
cyclic('SKOLEMAAAV28','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,7835,7835]) ).
cnf(8197,plain,
cyclic('SKOLEMAAAV25',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,8188,8188]) ).
cnf(8700,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,8197,8197]) ).
cnf(8701,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,8700]) ).
cnf(8702,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,8700]) ).
cnf(8703,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,8700]) ).
cnf(8704,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,8700]) ).
cnf(8773,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[8704,8703]) ).
cnf(8876,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[8701,8773,8773]) ).
cnf(8881,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,8876]) ).
cnf(8883,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[8702,8876]) ).
cnf(8887,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[7822,8883,8703]) ).
cnf(8989,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[8881,8887]) ).
cnf(8990,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,8989]) ).
cnf(8991,plain,
$false,
inference('REWRITE',[status(thm)],[188,8990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 16:04:02 EDT 2022
% 0.12/0.33 % 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 2022-06-17T16:04:03
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-17T16:04:03
% 0.18/0.50
% 0.18/0.50 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.50 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 11.58/11.82 ; Declaring coll to be commutative.
% 11.58/11.82
% 11.58/11.82 #||
% 11.58/11.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.58/11.82 % SZS output start Refutation
% See solution above
% 11.58/11.82 ||#
% 11.58/11.82
% 11.58/11.82 ; Summary of computation:
% 11.58/11.82 ; 57778 formulas have been input or derived (from 737 formulas).
% 11.58/11.82 ; 8991 (16%) were retained. Of these,
% 11.58/11.82 ; 7720 (86%) were simplified or subsumed later,
% 11.58/11.82 ; 1271 (14%) are still being kept.
% 11.58/11.82 ;
% 11.58/11.82 ; Run time in seconds excluding printing time:
% 11.58/11.82 ; 0.031 0% Read assertion file (1 call)
% 11.58/11.82 ; 0.006 0% Assert (95 calls)
% 11.58/11.82 ; 0.461 4% Process new row (56,524 calls)
% 11.58/11.82 ; 9.990 88% Resolution (1,472 calls)
% 11.58/11.82 ; 0.008 0% Paramodulation (736 calls)
% 11.58/11.82 ; 0.005 0% Condensing (143 calls)
% 11.58/11.82 ; 0.004 0% Forward subsumption (143 calls)
% 11.58/11.82 ; 0.001 0% Backward subsumption (142 calls)
% 11.58/11.82 ; 0.003 0% Clause clause subsumption (179 calls)
% 11.58/11.82 ; 0.215 2% Forward simplification (36,813 calls)
% 11.58/11.82 ; 0.451 4% Backward simplification (8,991 calls)
% 11.58/11.82 ; 0.001 0% Ordering (28 calls)
% 11.58/11.82 ; 0.000 0% Sortal reasoning (32 calls)
% 11.58/11.82 ; 0.000 0% Purity testing (1 call)
% 11.58/11.82 ; 0.184 2% Other
% 11.58/11.82 ; 11.360 Total
% 11.58/11.82 ; 11.365 Real time
% 11.58/11.82 ;
% 11.58/11.82 ; Term-hash-array has 12,373 terms in all.
% 11.58/11.82 ; Feature-vector-row-index has 60 entries (121 at peak, 142 added, 82 deleted).
% 11.58/11.82 ; Feature-vector-row-index has 78 nodes (218 at peak, 241 added, 163 deleted).
% 11.58/11.82 ; Retrieved 159 possibly forward subsuming rows in 143 calls.
% 11.58/11.82 ; Retrieved 58 possibly backward subsumed rows in 142 calls.
% 11.58/11.82 ; Path-index has 1,427 entries (9,046 at peak, 12,435 added, 11,008 deleted).
% 11.58/11.82 ; Path-index has 1,794 nodes (2,675 at peak, 3,841 added, 2,047 deleted).
% 11.58/11.82 ; Trie-index has 1,427 entries (9,046 at peak, 12,435 added, 11,008 deleted).
% 11.58/11.82 ; Trie-index has 4,988 nodes (28,782 at peak, 39,923 added, 34,935 deleted).
% 11.58/11.82 ; Retrieved 43,407 generalization terms in 36,749 calls.
% 11.58/11.82 ; Retrieved 33,377 instance terms in 8,848 calls.
% 11.58/11.82 ; Retrieved 15,638,670 unifiable terms in 754,894 calls.
% 11.58/11.82 ;
% 11.58/11.82 ; The agenda of backward simplifiable rows to process has 8 entries:
% 11.58/11.82 ; 8 with value 0
% 11.58/11.82 ; The agenda of rows to process has 132 entries:
% 11.58/11.82 ; 17 with value 8 4 with value 13 16 with value 18
% 11.58/11.82 ; 20 with value 9 18 with value 14 4 with value 19
% 11.58/11.82 ; 2 with value 10 12 with value 15 8 with value 20
% 11.58/11.82 ; 4 with value 11 4 with value 16 1 with value 21
% 11.58/11.82 ; 22 with value 12
% 11.58/11.82 ; The agenda of input rows to give has 1 entry:
% 11.58/11.82 ; 1 with value 6
% 11.58/11.82 ; The agenda of rows to give has 1121 entries:
% 11.58/11.82 ; 8 with value (4 7) 9 with value (4 13) 307 with value (4 18)
% 11.58/11.82 ; 15 with value (4 8) 265 with value (4 14) 130 with value (4 19)
% 11.58/11.82 ; 2 with value (4 10) 212 with value (4 15) 121 with value (4 20)
% 11.58/11.82 ; 3 with value (4 11) 18 with value (4 16) 9 with value (4 21)
% 11.58/11.82 ; 4 with value (4 12) 16 with value (4 17) 2 with value (4 29)
% 11.58/11.82 Evaluation took:
% 11.58/11.82 11.366 seconds of real time
% 11.58/11.82 11.086575 seconds of user run time
% 11.58/11.82 0.277852 seconds of system run time
% 11.58/11.82 [Run times include 0.592 seconds GC run time.]
% 11.68/11.87 0 calls to %EVAL
% 11.68/11.87 0 page faults and
% 11.68/11.87 793,297,784 bytes consed.
% 11.68/11.87 :PROOF-FOUND
% 11.68/11.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:04:14
% 11.68/11.87 :PROOF-FOUND
% 11.68/11.87 *
%------------------------------------------------------------------------------