TSTP Solution File: GEO042-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:13:23 EDT 2022
% Result : Unsatisfiable 10.54s 10.73s
% Output : Refutation 10.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 15 unt; 0 nHn; 13 RR)
% Number of literals : 25 ( 5 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(Y,inner_pasch(X,Y,Z,V,U),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(V,inner_pasch(X,Y,Z,V,U),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
cnf(prove_v_between_u_and_w,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
cnf(22,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(27,plain,
between(v,inner_pasch(u,v,x,w,v),v),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,v_between_u_and_x,w_between_v_and_x]) ).
cnf(31,plain,
between(w,inner_pasch(u,v,x,w,v),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,v_between_u_and_x,w_between_v_and_x]) ).
cnf(71,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,22,theory(equality)]) ).
cnf(179,plain,
v = inner_pasch(u,v,x,w,v),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,27]) ).
cnf(180,plain,
between(w,v,u),
inference('REWRITE',[status(thm)],[31,179,theory(equality)]) ).
cnf(182,plain,
between(u,inner_pasch(w,v,u,u,X),w),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,180,71]) ).
cnf(183,plain,
between(v,inner_pasch(w,v,u,u,X),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,180,71]) ).
cnf(1952,plain,
v = inner_pasch(w,v,u,u,v),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,183]) ).
cnf(5768,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[182,1952,theory(equality)]),prove_v_between_u_and_w]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 20:07:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:07:28
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-17T20:07:28
% 10.54/10.73
% 10.54/10.73
% 10.54/10.73 #||
% 10.54/10.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.54/10.73 % SZS output start Refutation
% See solution above
% 10.54/10.73 ||#
% 10.54/10.73
% 10.54/10.73 ; Summary of computation:
% 10.54/10.73 ; 22541 formulas have been input or derived (from 67 formulas).
% 10.54/10.73 ; 5768 (26%) were retained. Of these,
% 10.54/10.73 ; 481 ( 8%) were simplified or subsumed later,
% 10.54/10.73 ; 5287 (92%) are still being kept.
% 10.54/10.73 ;
% 10.54/10.73 ; Run time in seconds excluding printing time:
% 10.54/10.73 ; 0.006 0% Read assertion file (1 call)
% 10.54/10.73 ; 0.001 0% Assert (21 calls)
% 10.54/10.73 ; 0.871 8% Process new row (20,196 calls)
% 10.54/10.73 ; 7.709 75% Resolution (132 calls)
% 10.54/10.73 ; 0.007 0% Paramodulation (66 calls)
% 10.54/10.73 ; 0.027 0% Condensing (2,403 calls)
% 10.54/10.73 ; 0.336 3% Forward subsumption (2,403 calls)
% 10.54/10.73 ; 0.202 2% Backward subsumption (1,848 calls)
% 10.54/10.73 ; 0.121 1% Clause clause subsumption (80,250 calls)
% 10.54/10.73 ; 0.604 6% Forward simplification (20,058 calls)
% 10.54/10.73 ; 0.293 3% Backward simplification (5,768 calls)
% 10.54/10.73 ; 0.002 0% Ordering (2,963 calls)
% 10.54/10.73 ; 0.000 0% Sortal reasoning (32 calls)
% 10.54/10.73 ; 0.000 0% Purity testing (1 call)
% 10.54/10.73 ; 0.086 1% Other
% 10.54/10.73 ; 10.265 Total
% 10.54/10.73 ; 10.267 Real time
% 10.54/10.74 ;
% 10.54/10.74 ; Term-hash-array has 11,131 terms in all.
% 10.54/10.74 ; Feature-vector-row-index has 1,488 entries (1,488 at peak, 1,848 added, 360 deleted).
% 10.54/10.74 ; Feature-vector-row-index has 4,323 nodes (4,371 at peak, 6,983 added, 2,660 deleted).
% 10.54/10.74 ; Retrieved 59,668 possibly forward subsuming rows in 2,403 calls.
% 10.54/10.74 ; Retrieved 30,620 possibly backward subsumed rows in 1,848 calls.
% 10.54/10.74 ; Path-index has 10,536 entries (10,536 at peak, 11,609 added, 1,073 deleted).
% 10.54/10.74 ; Path-index has 7,193 nodes (7,193 at peak, 7,688 added, 495 deleted).
% 10.54/10.74 ; Trie-index has 10,536 entries (10,536 at peak, 11,609 added, 1,073 deleted).
% 10.54/10.74 ; Trie-index has 91,246 nodes (91,246 at peak, 100,408 added, 9,162 deleted).
% 10.54/10.74 ; Retrieved 187,552 generalization terms in 68,744 calls.
% 10.54/10.74 ; Retrieved 49,496 instance terms in 3,919 calls.
% 10.54/10.74 ; Retrieved 20,615,252 unifiable terms in 150,578 calls.
% 10.54/10.74 ;
% 10.54/10.74 ; The agenda of rows to give has 5223 entries:
% 10.54/10.74 ; 1 with value (4 14) 146 with value (4 38) 3 with value (4 63)
% 10.54/10.74 ; 5 with value (4 15) 66 with value (4 39) 5 with value (4 64)
% 10.54/10.74 ; 6 with value (4 16) 126 with value (4 40) 68 with value (4 65)
% 10.54/10.74 ; 49 with value (4 17) 263 with value (4 41) 32 with value (4 66)
% 10.54/10.74 ; 47 with value (4 18) 6 with value (4 42) 10 with value (4 67)
% 10.54/10.74 ; 39 with value (4 19) 50 with value (4 43) 1 with value (4 68)
% 10.54/10.74 ; 9 with value (4 20) 44 with value (4 44) 216 with value (4 69)
% 10.54/10.74 ; 150 with value (4 21) 58 with value (4 45) 1 with value (4 71)
% 10.54/10.74 ; 37 with value (4 22) 84 with value (4 46) 7 with value (4 72)
% 10.54/10.74 ; 87 with value (4 23) 67 with value (4 47) 136 with value (4 73)
% 10.54/10.74 ; 96 with value (4 24) 47 with value (4 48) 1 with value (4 74)
% 10.54/10.74 ; 25 with value (4 25) 197 with value (4 49) 8 with value (4 75)
% 10.54/10.74 ; 132 with value (4 26) 92 with value (4 50) 138 with value (4 77)
% 10.54/10.74 ; 68 with value (4 27) 17 with value (4 51) 3 with value (4 79)
% 10.54/10.74 ; 165 with value (4 28) 7 with value (4 52) 73 with value (4 80)
% 10.54/10.74 ; 19 with value (4 29) 106 with value (4 53) 8 with value (4 81)
% 10.54/10.74 ; 145 with value (4 30) 47 with value (4 54) 8 with value (4 85)
% 10.54/10.74 ; 448 with value (4 31) 167 with value (4 55) 32 with value (4 86)
% 10.54/10.74 ; 237 with value (4 32) 82 with value (4 56) 1 with value (4 88)
% 10.54/10.74 ; 117 with value (4 33) 4 with value (4 58) 3 with value (4 89)
% 10.54/10.74 ; 92 with value (4 34) 11 with value (4 59) 4 with value (4 90)
% 10.54/10.74 ; 73 with value (4 35) 105 with value (4 60) 72 with value (4 94)
% 10.54/10.74 ; 189 with value (4 36) 157 with value (4 61) 32 with value (4 114)
% 10.54/10.74 ; 79 with value (4 37) 33 with value (4 62) 64 with value (4 118)
% 10.54/10.74 Evaluation took:
% 10.54/10.74 10.269 seconds of real time
% 10.54/10.74 9.997603 seconds of user run time
% 10.54/10.74 0.271233 seconds of system run time
% 10.54/10.74 [Run times include 0.643 seconds GC run time.]
% 10.54/10.74 0 calls to %EVAL
% 10.54/10.74 0 page faults and
% 10.54/10.74 534,322,288 bytes consed.
% 10.54/10.74 :PROOF-FOUND
% 10.54/10.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:07:39
% 10.54/10.74 :PROOF-FOUND
% 10.54/10.74 *
%------------------------------------------------------------------------------