TSTP Solution File: GEO559+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 06:16:42 EDT 2022
% Result : Theorem 3.30s 3.47s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of clauses : 52 ( 26 unt; 0 nHn; 29 RR)
% Number of literals : 95 ( 0 equ; 45 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; 7 con; 0-5 aty)
% Number of variables : 181 ( 32 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(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(116,negated_conjecture,
circle('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV28','SKOLEMAAAV30'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012019) ).
cnf(118,negated_conjecture,
~ para('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV27','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012019) ).
cnf(130,plain,
perp('SKOLEMAAAV12'('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV28','SKOLEMAAAV30'),'SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[98,116]) ).
cnf(174,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV12'('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV28','SKOLEMAAAV30'),'SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[7,130]) ).
cnf(193,plain,
para('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[8,174,130]) ).
cnf(198,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV24',X,Y,'SKOLEMAAAV22','SKOLEMAAAV24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,193]) ).
cnf(1101,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV24',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,198]) ).
cnf(1102,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV24',X,Y,'SKOLEMAAAV22','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[18,198]) ).
cnf(2332,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1102]) ).
cnf(2338,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,2332]) ).
cnf(2342,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,2338,2338]) ).
cnf(3169,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,2342,2342]) ).
cnf(3170,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,3169]) ).
cnf(3173,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,3169]) ).
cnf(3175,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,3169]) ).
cnf(3182,plain,
cyclic('SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[3175,1101]) ).
cnf(3221,plain,
cyclic('SKOLEMAAAV24','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,3182,3182]) ).
cnf(3224,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,3221,3221]) ).
cnf(3446,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,3224,3224]) ).
cnf(3447,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,3446]) ).
cnf(3448,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,3446]) ).
cnf(3449,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,3446]) ).
cnf(3450,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,3446]) ).
cnf(3517,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[3450,3449]) ).
cnf(3574,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[3447,3517,3517]) ).
cnf(3579,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,3574]) ).
cnf(3580,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[3170,3574]) ).
cnf(3581,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[3448,3574]) ).
cnf(3585,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[3173,3581,3449]) ).
cnf(3590,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV27','SKOLEMAAAV25'),X),
inference('UR-RESOLVE',[status(thm)],[8,3580,118]) ).
cnf(3636,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[3579,3585]) ).
cnf(3637,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,3636]) ).
cnf(3638,plain,
$false,
inference('REWRITE',[status(thm)],[3590,3637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 : Fri Jun 17 23:09:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:09:43
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-17T23:09:43
% 0.19/0.52
% 0.19/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 3.30/3.47 ; Declaring coll to be commutative.
% 3.30/3.47
% 3.30/3.47 #||
% 3.30/3.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/3.47 % SZS output start Refutation
% See solution above
% 3.30/3.47 ||#
% 3.30/3.47
% 3.30/3.47 ; Summary of computation:
% 3.30/3.47 ; 25360 formulas have been input or derived (from 561 formulas).
% 3.30/3.47 ; 3638 (14%) were retained. Of these,
% 3.30/3.47 ; 3169 (87%) were simplified or subsumed later,
% 3.30/3.47 ; 469 (13%) are still being kept.
% 3.30/3.47 ;
% 3.30/3.47 ; Run time in seconds excluding printing time:
% 3.30/3.47 ; 0.031 1% Read assertion file (1 call)
% 3.30/3.47 ; 0.006 0% Assert (95 calls)
% 3.30/3.47 ; 0.190 6% Process new row (24,476 calls)
% 3.30/3.47 ; 2.413 81% Resolution (1,120 calls)
% 3.30/3.47 ; 0.005 0% Paramodulation (560 calls)
% 3.30/3.47 ; 0.005 0% Condensing (144 calls)
% 3.30/3.47 ; 0.002 0% Forward subsumption (144 calls)
% 3.30/3.47 ; 0.000 0% Backward subsumption (142 calls)
% 3.30/3.47 ; 0.000 0% Clause clause subsumption (180 calls)
% 3.30/3.47 ; 0.081 3% Forward simplification (15,874 calls)
% 3.30/3.47 ; 0.163 5% Backward simplification (3,638 calls)
% 3.30/3.47 ; 0.000 0% Ordering (28 calls)
% 3.30/3.47 ; 0.000 0% Sortal reasoning (32 calls)
% 3.30/3.47 ; 0.000 0% Purity testing (1 call)
% 3.30/3.47 ; 0.090 3% Other
% 3.30/3.47 ; 2.986 Total
% 3.30/3.47 ; 2.990 Real time
% 3.30/3.47 ;
% 3.30/3.47 ; Term-hash-array has 4,996 terms in all.
% 3.30/3.47 ; Feature-vector-row-index has 60 entries (121 at peak, 142 added, 82 deleted).
% 3.30/3.47 ; Feature-vector-row-index has 78 nodes (224 at peak, 247 added, 169 deleted).
% 3.30/3.47 ; Retrieved 160 possibly forward subsuming rows in 144 calls.
% 3.30/3.47 ; Retrieved 58 possibly backward subsumed rows in 142 calls.
% 3.30/3.47 ; Path-index has 646 entries (3,322 at peak, 5,033 added, 4,387 deleted).
% 3.30/3.47 ; Path-index has 1,303 nodes (1,924 at peak, 2,685 added, 1,382 deleted).
% 3.30/3.47 ; Trie-index has 646 entries (3,322 at peak, 5,033 added, 4,387 deleted).
% 3.30/3.47 ; Trie-index has 2,456 nodes (10,515 at peak, 15,969 added, 13,513 deleted).
% 3.30/3.47 ; Retrieved 17,036 generalization terms in 15,825 calls.
% 3.30/3.47 ; Retrieved 12,261 instance terms in 3,495 calls.
% 3.30/3.47 ; Retrieved 4,113,654 unifiable terms in 201,928 calls.
% 3.30/3.47 ;
% 3.30/3.47 ; The agenda of backward simplifiable rows to process has 8 entries:
% 3.30/3.47 ; 8 with value 0
% 3.30/3.47 ; The agenda of rows to process has 83 entries:
% 3.30/3.47 ; 15 with value 8 4 with value 13 4 with value 19
% 3.30/3.47 ; 10 with value 9 4 with value 14 1 with value 20
% 3.30/3.47 ; 2 with value 10 18 with value 15 1 with value 21
% 3.30/3.47 ; 16 with value 12 8 with value 18
% 3.30/3.47 ; The agenda of input rows to give has 1 entry:
% 3.30/3.47 ; 1 with value 6
% 3.30/3.47 ; The agenda of rows to give has 338 entries:
% 3.30/3.47 ; 8 with value (4 7) 63 with value (4 15) 27 with value (4 21)
% 3.30/3.47 ; 9 with value (4 8) 61 with value (4 16) 21 with value (4 22)
% 3.30/3.47 ; 3 with value (4 11) 1 with value (4 17) 50 with value (4 23)
% 3.30/3.47 ; 4 with value (4 12) 13 with value (4 18) 2 with value (4 25)
% 3.30/3.47 ; 6 with value (4 13) 7 with value (4 19) 2 with value (4 29)
% 3.30/3.47 ; 17 with value (4 14) 44 with value (4 20)
% 3.30/3.47 Evaluation took:
% 3.30/3.47 2.991 seconds of real time
% 3.30/3.47 2.868251 seconds of user run time
% 3.30/3.47 0.122763 seconds of system run time
% 3.30/3.47 [Run times include 0.16 seconds GC run time.]
% 3.30/3.47 0 calls to %EVAL
% 3.30/3.47 0 page faults and
% 3.30/3.47 220,304,792 bytes consed.
% 3.30/3.47 :PROOF-FOUND
% 3.30/3.47 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:09:46
% 3.30/3.47 :PROOF-FOUND
% 3.30/3.47 *
%------------------------------------------------------------------------------