%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO574+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:16:47 EDT 2022
% Result : Theorem 6.68s 6.88s
% Output : Refutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 26
% Syntax : Number of clauses : 67 ( 34 unt; 0 nHn; 36 RR)
% Number of literals : 122 ( 0 equ; 60 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 251 ( 59 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(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(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(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(17,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Y,X,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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(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(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(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(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('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(115,negated_conjecture,
perp('SKOLEMAAAU26','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214036) ).
cnf(120,negated_conjecture,
~ eqangle('SKOLEMAAAU28','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214036) ).
cnf(131,plain,
perp('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU26','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(144,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU28','SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU24'),
inference('UR-RESOLVE',[status(thm)],[17,120]) ).
cnf(174,plain,
para('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[8,131,115]) ).
cnf(232,plain,
eqangle('SKOLEMAAAU21','SKOLEMAAAU23',X,Y,'SKOLEMAAAU21','SKOLEMAAAU23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,174]) ).
cnf(1551,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU28','SKOLEMAAAU21','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU21'),
inference('UR-RESOLVE',[status(thm)],[18,144]) ).
cnf(1567,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU28'),
inference('UR-RESOLVE',[status(thm)],[19,1551]) ).
cnf(1586,plain,
eqangle('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,232]) ).
cnf(1587,plain,
eqangle(X,Y,'SKOLEMAAAU21','SKOLEMAAAU23',X,Y,'SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[18,232]) ).
cnf(2329,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU24','SKOLEMAAAU21','SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU28'),
inference('UR-RESOLVE',[status(thm)],[20,1567]) ).
cnf(4091,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1587]) ).
cnf(4097,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4091]) ).
cnf(4104,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4097,4097]) ).
cnf(5736,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4104,4104]) ).
cnf(5740,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,5736]) ).
cnf(5742,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,5736]) ).
cnf(5746,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU23','SKOLEMAAAU21',X),
inference('HYPERRESOLVE',[status(thm)],[5742,1586]) ).
cnf(5751,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,5746,5746]) ).
cnf(5755,plain,
cyclic('SKOLEMAAAU21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,5751,5751]) ).
cnf(5761,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,5755,5755]) ).
cnf(5762,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,5761]) ).
cnf(5763,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,5761]) ).
cnf(5764,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,5761]) ).
cnf(5765,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,5761]) ).
cnf(5792,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[5765,5764]) ).
cnf(5817,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[5762,5792,5792]) ).
cnf(5822,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,5817]) ).
cnf(5824,plain,
circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[5763,5817]) ).
cnf(5828,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[5740,5824,5764]) ).
cnf(5863,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[5822,5828]) ).
cnf(5864,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,5863]) ).
cnf(5866,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,5864]) ).
cnf(5867,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,5864]) ).
cnf(5868,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,5867]) ).
cnf(5870,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,5867]) ).
cnf(5875,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[5868,5828]) ).
cnf(5876,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,5875]) ).
cnf(5878,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[5866,5875]) ).
cnf(5881,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,5878]) ).
cnf(5882,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[5876,5881]) ).
cnf(5902,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,5882,5870]) ).
cnf(5903,plain,
$false,
inference('REWRITE',[status(thm)],[2329,5902]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO574+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 13:02:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:02:44
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T13:02:44
% 0.22/0.53
% 0.22/0.53 WARNING: In quantification, variable ?M is being rebound.
% 0.22/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 6.68/6.88 ; Declaring coll to be commutative.
% 6.68/6.88
% 6.68/6.88 #||
% 6.68/6.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/6.88 % SZS output start Refutation
% See solution above
% 6.68/6.89 ||#
% 6.68/6.89
% 6.68/6.89 ; Summary of computation:
% 6.68/6.89 ; 40803 formulas have been input or derived (from 769 formulas).
% 6.68/6.89 ; 5903 (14%) were retained. Of these,
% 6.68/6.89 ; 5816 (99%) were simplified or subsumed later,
% 6.68/6.89 ; 87 ( 1%) are still being kept.
% 6.68/6.89 ;
% 6.68/6.89 ; Run time in seconds excluding printing time:
% 6.68/6.89 ; 0.031 0% Read assertion file (1 call)
% 6.68/6.89 ; 0.005 0% Assert (95 calls)
% 6.68/6.89 ; 0.325 5% Process new row (39,512 calls)
% 6.68/6.89 ; 5.455 85% Resolution (1,536 calls)
% 6.68/6.89 ; 0.005 0% Paramodulation (768 calls)
% 6.68/6.89 ; 0.006 0% Condensing (159 calls)
% 6.68/6.89 ; 0.001 0% Forward subsumption (159 calls)
% 6.68/6.89 ; 0.000 0% Backward subsumption (158 calls)
% 6.68/6.89 ; 0.001 0% Clause clause subsumption (194 calls)
% 6.68/6.89 ; 0.105 2% Forward simplification (27,552 calls)
% 6.68/6.89 ; 0.322 5% Backward simplification (5,903 calls)
% 6.68/6.89 ; 0.000 0% Ordering (44 calls)
% 6.68/6.89 ; 0.000 0% Sortal reasoning (32 calls)
% 6.68/6.89 ; 0.000 0% Purity testing (1 call)
% 6.68/6.89 ; 0.135 2% Other
% 6.68/6.89 ; 6.391 Total
% 6.68/6.89 ; 6.399 Real time
% 6.68/6.89 ;
% 6.68/6.89 ; Term-hash-array has 7,981 terms in all.
% 6.68/6.89 ; Feature-vector-row-index has 26 entries (127 at peak, 158 added, 132 deleted).
% 6.68/6.89 ; Feature-vector-row-index has 26 nodes (257 at peak, 293 added, 267 deleted).
% 6.68/6.89 ; Retrieved 163 possibly forward subsuming rows in 159 calls.
% 6.68/6.89 ; Retrieved 69 possibly backward subsumed rows in 158 calls.
% 6.68/6.89 ; Path-index has 102 entries (6,279 at peak, 8,023 added, 7,921 deleted).
% 6.68/6.89 ; Path-index has 624 nodes (1,612 at peak, 1,983 added, 1,359 deleted).
% 6.68/6.89 ; Trie-index has 102 entries (6,279 at peak, 8,023 added, 7,921 deleted).
% 6.68/6.89 ; Trie-index has 270 nodes (16,812 at peak, 21,037 added, 20,767 deleted).
% 6.68/6.89 ; Retrieved 28,887 generalization terms in 27,538 calls.
% 6.68/6.89 ; Retrieved 22,170 instance terms in 5,744 calls.
% 6.68/6.89 ; Retrieved 9,103,345 unifiable terms in 425,501 calls.
% 6.68/6.89 ;
% 6.68/6.89 ; The agenda of backward simplifiable rows to process has 1 entry:
% 6.68/6.89 ; 1 with value 0
% 6.68/6.89 ; The agenda of rows to process has 15 entries:
% 6.68/6.89 ; 15 with value 11
% 6.68/6.89 ; The agenda of input rows to give has 1 entry:
% 6.68/6.89 ; 1 with value 10
% 6.68/6.89 ; The agenda of rows to give has 40 entries:
% 6.68/6.89 ; 3 with value (4 7) 9 with value (4 11) 4 with value (4 13)
% 6.68/6.89 ; 1 with value (4 8) 3 with value (4 12) 20 with value (4 14)
% 6.68/6.89 Evaluation took:
% 6.68/6.89 6.399 seconds of real time
% 6.68/6.89 6.209573 seconds of user run time
% 6.68/6.89 0.185895 seconds of system run time
% 6.68/6.89 [Run times include 0.346 seconds GC run time.]
% 6.68/6.89 0 calls to %EVAL
% 6.68/6.89 0 page faults and
% 6.68/6.89 460,079,000 bytes consed.
% 6.68/6.89 :PROOF-FOUND
% 6.68/6.89 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:02:50
% 6.68/6.89 :PROOF-FOUND
% 6.68/6.89 *
%------------------------------------------------------------------------------