TSTP Solution File: GEO043-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 15.17s 15.36s
% Output : Refutation 15.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 19 unt; 0 nHn; 15 RR)
% Number of literals : 29 ( 6 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 : 32 ( 7 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_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(w_between_u_and_x,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
cnf(prove_w_between_v_and_x,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).
cnf(22,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(65,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,22,theory(equality)]) ).
cnf(67,plain,
between(w,inner_pasch(X,x,x,w,u),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,65,w_between_u_and_x]) ).
cnf(68,plain,
between(v,inner_pasch(X,w,w,v,u),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,65,v_between_u_and_w]) ).
cnf(70,plain,
between(x,inner_pasch(X,x,x,w,u),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,65,w_between_u_and_x]) ).
cnf(71,plain,
between(w,inner_pasch(X,w,w,v,u),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,65,v_between_u_and_w]) ).
cnf(347,plain,
w = inner_pasch(w,x,x,w,u),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,67]) ).
cnf(434,plain,
v = inner_pasch(v,w,w,v,u),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,68]) ).
cnf(2912,plain,
between(x,w,u),
inference('PARAMODULATE',[status(thm)],[70,347,theory(equality)]) ).
cnf(3183,plain,
between(w,v,u),
inference('PARAMODULATE',[status(thm)],[71,434,theory(equality)]) ).
cnf(3184,plain,
between(w,inner_pasch(w,v,u,w,x),w),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,3183,2912]) ).
cnf(3187,plain,
between(v,inner_pasch(w,v,u,w,x),x),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,3183,2912]) ).
cnf(7989,plain,
w = inner_pasch(w,v,u,w,x),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,3184]) ).
cnf(7990,plain,
$false,
inference('REWRITE',[status(thm)],[3187,prove_w_between_v_and_x,7989,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 16:09:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-06-18T16:09:23
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T16:09:23
% 15.17/15.36
% 15.17/15.36
% 15.17/15.36 #||
% 15.17/15.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.17/15.36 % SZS output start Refutation
% See solution above
% 15.20/15.36 ||#
% 15.20/15.36
% 15.20/15.36 ; Summary of computation:
% 15.20/15.36 ; 32739 formulas have been input or derived (from 74 formulas).
% 15.20/15.36 ; 7990 (24%) were retained. Of these,
% 15.20/15.36 ; 468 ( 6%) were simplified or subsumed later,
% 15.20/15.36 ; 7522 (94%) are still being kept.
% 15.20/15.36 ;
% 15.20/15.36 ; Run time in seconds excluding printing time:
% 15.20/15.36 ; 0.006 0% Read assertion file (1 call)
% 15.20/15.36 ; 0.001 0% Assert (21 calls)
% 15.20/15.36 ; 1.037 7% Process new row (28,603 calls)
% 15.20/15.36 ; 10.935 73% Resolution (146 calls)
% 15.20/15.36 ; 0.012 0% Paramodulation (73 calls)
% 15.20/15.36 ; 0.000 0% Factoring (6 calls)
% 15.20/15.36 ; 0.033 0% Condensing (3,335 calls)
% 15.20/15.36 ; 0.869 6% Forward subsumption (3,335 calls)
% 15.20/15.36 ; 0.238 2% Backward subsumption (2,569 calls)
% 15.20/15.36 ; 0.279 2% Clause clause subsumption (113,502 calls)
% 15.20/15.36 ; 1.041 7% Forward simplification (28,023 calls)
% 15.20/15.36 ; 0.309 2% Backward simplification (7,990 calls)
% 15.20/15.36 ; 0.004 0% Ordering (4,881 calls)
% 15.20/15.36 ; 0.000 0% Sortal reasoning (32 calls)
% 15.20/15.36 ; 0.000 0% Purity testing (1 call)
% 15.20/15.36 ; 0.122 1% Other
% 15.20/15.36 ; 14.886 Total
% 15.20/15.36 ; 14.888 Real time
% 15.20/15.36 ;
% 15.20/15.36 ; Term-hash-array has 15,688 terms in all.
% 15.20/15.36 ; Feature-vector-row-index has 2,199 entries (2,199 at peak, 2,569 added, 370 deleted).
% 15.20/15.36 ; Feature-vector-row-index has 7,412 nodes (7,425 at peak, 10,281 added, 2,869 deleted).
% 15.20/15.36 ; Retrieved 103,994 possibly forward subsuming rows in 3,335 calls.
% 15.20/15.36 ; Retrieved 32,391 possibly backward subsumed rows in 2,569 calls.
% 15.20/15.36 ; Path-index has 15,131 entries (15,133 at peak, 16,205 added, 1,074 deleted).
% 15.20/15.36 ; Path-index has 11,430 nodes (11,430 at peak, 12,103 added, 673 deleted).
% 15.20/15.36 ; Trie-index has 15,131 entries (15,133 at peak, 16,205 added, 1,074 deleted).
% 15.20/15.36 ; Trie-index has 150,042 nodes (150,050 at peak, 159,211 added, 9,169 deleted).
% 15.20/15.36 ; Retrieved 328,908 generalization terms in 107,857 calls.
% 15.20/15.36 ; Retrieved 41,765 instance terms in 5,420 calls.
% 15.20/15.36 ; Retrieved 23,270,414 unifiable terms in 197,427 calls.
% 15.20/15.36 ;
% 15.20/15.36 ; The agenda of rows to process has 572 entries:
% 15.20/15.36 ; 5 with value 23 27 with value 44 3 with value 61
% 15.20/15.36 ; 12 with value 24 10 with value 45 9 with value 63
% 15.20/15.36 ; 5 with value 25 4 with value 46 36 with value 64
% 15.20/15.36 ; 18 with value 29 1 with value 48 4 with value 68
% 15.20/15.36 ; 8 with value 31 24 with value 49 6 with value 69
% 15.20/15.36 ; 24 with value 33 4 with value 50 29 with value 72
% 15.20/15.36 ; 77 with value 34 4 with value 51 32 with value 76
% 15.20/15.36 ; 32 with value 35 4 with value 52 4 with value 77
% 15.20/15.36 ; 8 with value 36 5 with value 53 4 with value 79
% 15.20/15.36 ; 8 with value 37 14 with value 54 16 with value 80
% 15.20/15.36 ; 36 with value 39 20 with value 56 1 with value 81
% 15.20/15.36 ; 6 with value 40 4 with value 57 4 with value 83
% 15.20/15.36 ; 26 with value 41 12 with value 58 6 with value 85
% 15.20/15.36 ; 14 with value 43 2 with value 59 4 with value 89
% 15.20/15.36 ; The agenda of rows to give has 7450 entries:
% 15.20/15.36 ; 39 with value (4 17) 57 with value (4 57) 16 with value (4 97)
% 15.20/15.36 ; 47 with value (4 18) 83 with value (4 58) 10 with value (4 98)
% 15.20/15.36 ; 32 with value (4 19) 53 with value (4 59) 18 with value (4 99)
% 15.20/15.36 ; 6 with value (4 20) 110 with value (4 60) 1 with value (4 100)
% 15.20/15.36 ; 110 with value (4 21) 155 with value (4 61) 3 with value (4 101)
% 15.20/15.36 ; 26 with value (4 22) 52 with value (4 62) 6 with value (4 102)
% 15.20/15.36 ; 112 with value (4 23) 66 with value (4 63) 4 with value (4 103)
% 15.20/15.36 ; 141 with value (4 24) 56 with value (4 64) 8 with value (4 106)
% 15.20/15.36 ; 32 with value (4 25) 80 with value (4 65) 24 with value (4 107)
% 15.20/15.36 ; 90 with value (4 26) 91 with value (4 66) 4 with value (4 108)
% 15.20/15.36 ; 65 with value (4 27) 40 with value (4 67) 3 with value (4 109)
% 15.20/15.36 ; 179 with value (4 28) 39 with value (4 68) 18 with value (4 110)
% 15.20/15.36 ; 68 with value (4 29) 178 with value (4 69) 8 with value (4 112)
% 15.20/15.36 ; 113 with value (4 30) 20 with value (4 70) 26 with value (4 114)
% 15.20/15.36 ; 361 with value (4 31) 81 with value (4 72) 6 with value (4 115)
% 15.20/15.36 ; 182 with value (4 32) 130 with value (4 73) 11 with value (4 117)
% 15.20/15.36 ; 139 with value (4 33) 51 with value (4 74) 56 with value (4 118)
% 15.20/15.36 ; 379 with value (4 34) 27 with value (4 75) 3 with value (4 119)
% 15.20/15.36 ; 141 with value (4 35) 53 with value (4 76) 20 with value (4 121)
% 15.20/15.36 ; 204 with value (4 36) 130 with value (4 77) 1 with value (4 129)
% 15.20/15.36 ; 111 with value (4 37) 34 with value (4 78) 1 with value (4 131)
% 15.20/15.36 ; 152 with value (4 38) 21 with value (4 79) 1 with value (4 134)
% 15.20/15.36 ; 187 with value (4 39) 109 with value (4 80) 3 with value (4 135)
% 15.20/15.36 ; 173 with value (4 40) 32 with value (4 81) 12 with value (4 139)
% 15.20/15.36 ; 261 with value (4 41) 67 with value (4 82) 4 with value (4 142)
% 15.20/15.36 ; 66 with value (4 42) 20 with value (4 83) 24 with value (4 143)
% 15.20/15.36 ; 108 with value (4 43) 4 with value (4 84) 8 with value (4 146)
% 15.20/15.36 ; 143 with value (4 44) 42 with value (4 85) 4 with value (4 159)
% 15.20/15.36 ; 106 with value (4 45) 84 with value (4 86) 8 with value (4 167)
% 15.20/15.36 ; 131 with value (4 46) 2 with value (4 87) 1 with value (4 170)
% 15.20/15.36 ; 110 with value (4 47) 10 with value (4 88) 1 with value (4 172)
% 15.20/15.36 ; 79 with value (4 48) 39 with value (4 89) 1 with value (4 179)
% 15.20/15.36 ; 209 with value (4 49) 25 with value (4 90) 3 with value (4 180)
% 15.20/15.36 ; 111 with value (4 50) 7 with value (4 91) 4 with value (4 211)
% 15.20/15.36 ; 53 with value (4 51) 4 with value (4 92) 8 with value (4 215)
% 15.20/15.36 ; 60 with value (4 52) 2 with value (4 93) 1 with value (4 234)
% 15.20/15.36 ; 132 with value (4 53) 73 with value (4 94) 1 with value (4 236)
% 15.20/15.36 ; 64 with value (4 54) 7 with value (4 95) 1 with value (4 239)
% 15.20/15.36 ; 166 with value (4 55) 2 with value (4 96) 3 with value (4 240)
% 15.20/15.36 ; 91 with value (4 56)
% 15.20/15.36 Evaluation took:
% 15.20/15.36 14.89 seconds of real time
% 15.20/15.36 14.438152 seconds of user run time
% 15.20/15.36 0.45202 seconds of system run time
% 15.20/15.36 [Run times include 1.135 seconds GC run time.]
% 15.20/15.36 0 calls to %EVAL
% 15.20/15.36 0 page faults and
% 15.20/15.36 750,615,984 bytes consed.
% 15.20/15.36 :PROOF-FOUND
% 15.20/15.36 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:09:38
% 15.20/15.36 :PROOF-FOUND
% 15.20/15.36 *
%------------------------------------------------------------------------------