%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO041-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:13:22 EDT 2022
% Result : Unsatisfiable 32.76s 32.97s
% Output : Refutation 32.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 20 unt; 0 nHn; 16 RR)
% Number of literals : 30 ( 7 equ; 8 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 : 5 ( 5 usr; 3 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_v,hypothesis,
between(u,w,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_v) ).
cnf(prove_v_is_w,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_is_w) ).
cnf(23,plain,
~ between(w,v,w),
inference('UR-RESOLVE',[status(thm)],[identity_for_betweeness,prove_v_is_w]) ).
cnf(26,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(91,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,26,theory(equality)]) ).
cnf(93,plain,
between(v,inner_pasch(X,w,w,v,u),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,91,v_between_u_and_w]) ).
cnf(94,plain,
between(w,inner_pasch(X,v,v,w,u),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,91,w_between_u_and_v]) ).
cnf(96,plain,
between(w,inner_pasch(X,w,w,v,u),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,91,v_between_u_and_w]) ).
cnf(97,plain,
between(v,inner_pasch(X,v,v,w,u),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,91,w_between_u_and_v]) ).
cnf(441,plain,
v = inner_pasch(v,w,w,v,u),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,93]) ).
cnf(528,plain,
w = inner_pasch(w,v,v,w,u),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,94]) ).
cnf(4870,plain,
between(w,v,u),
inference('PARAMODULATE',[status(thm)],[96,441,theory(equality)]) ).
cnf(5165,plain,
between(v,w,u),
inference('PARAMODULATE',[status(thm)],[97,528,theory(equality)]) ).
cnf(5166,plain,
between(v,inner_pasch(v,w,u,v,w),v),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,5165,4870]) ).
cnf(5169,plain,
between(w,inner_pasch(v,w,u,v,w),w),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,5165,4870]) ).
cnf(13160,plain,
v = inner_pasch(v,w,u,v,w),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,5166]) ).
cnf(13161,plain,
$false,
inference('REWRITE',[status(thm)],[5169,23,13160,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO041-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n006.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 12:28:25 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.21/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 *
% 0.21/0.51 *
% 0.21/0.52 #<PACKAGE "SNARK-USER">
% 0.21/0.52 *
% 0.21/0.52 SNARK-TPTP-OPTIONS
% 0.21/0.52 *
% 0.21/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52 (USE-FACTORING :POS)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52 *
% 0.21/0.52 "."
% 0.21/0.52 *
% 0.21/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:28:26
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T12:28:26
% 32.76/32.97
% 32.76/32.97
% 32.76/32.97 #||
% 32.76/32.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.76/32.97 % SZS output start Refutation
% See solution above
% 32.76/32.97 ||#
% 32.76/32.97
% 32.76/32.97 ; Summary of computation:
% 32.76/32.97 ; 53250 formulas have been input or derived (from 111 formulas).
% 32.76/32.97 ; 13161 (25%) were retained. Of these,
% 32.76/32.97 ; 1054 ( 8%) were simplified or subsumed later,
% 32.76/32.97 ; 12107 (92%) are still being kept.
% 32.76/32.97 ;
% 32.76/32.97 ; Run time in seconds excluding printing time:
% 32.76/32.97 ; 0.006 0% Read assertion file (1 call)
% 32.76/32.97 ; 0.001 0% Assert (21 calls)
% 32.76/32.97 ; 2.111 7% Process new row (47,686 calls)
% 32.76/32.97 ; 24.568 76% Resolution (220 calls)
% 32.76/32.97 ; 0.019 0% Paramodulation (110 calls)
% 32.76/32.97 ; 0.000 0% Factoring (6 calls)
% 32.76/32.97 ; 0.054 0% Condensing (5,405 calls)
% 32.76/32.97 ; 1.988 6% Forward subsumption (5,405 calls)
% 32.76/32.97 ; 0.608 2% Backward subsumption (4,273 calls)
% 32.76/32.97 ; 0.657 2% Clause clause subsumption (246,547 calls)
% 32.76/32.97 ; 1.754 5% Forward simplification (45,378 calls)
% 32.76/32.97 ; 0.502 2% Backward simplification (13,161 calls)
% 32.76/32.97 ; 0.007 0% Ordering (8,079 calls)
% 32.76/32.97 ; 0.000 0% Sortal reasoning (32 calls)
% 32.76/32.97 ; 0.000 0% Purity testing (1 call)
% 32.76/32.97 ; 0.173 1% Other
% 32.76/32.97 ; 32.448 Total
% 32.76/32.97 ; 32.447 Real time
% 32.80/32.97 ;
% 32.80/32.97 ; Term-hash-array has 25,137 terms in all.
% 32.80/32.97 ; Feature-vector-row-index has 3,715 entries (3,715 at peak, 4,273 added, 558 deleted).
% 32.80/32.97 ; Feature-vector-row-index has 14,354 nodes (14,354 at peak, 18,632 added, 4,278 deleted).
% 32.80/32.97 ; Retrieved 226,258 possibly forward subsuming rows in 5,405 calls.
% 32.80/32.97 ; Retrieved 67,093 possibly backward subsumed rows in 4,273 calls.
% 32.80/32.97 ; Path-index has 23,789 entries (23,791 at peak, 25,877 added, 2,088 deleted).
% 32.80/32.97 ; Path-index has 15,093 nodes (15,093 at peak, 15,812 added, 719 deleted).
% 32.80/32.97 ; Trie-index has 23,789 entries (23,791 at peak, 25,877 added, 2,088 deleted).
% 32.80/32.97 ; Trie-index has 254,133 nodes (254,141 at peak, 275,029 added, 20,896 deleted).
% 32.80/32.97 ; Retrieved 458,864 generalization terms in 169,756 calls.
% 32.80/32.97 ; Retrieved 56,317 instance terms in 8,887 calls.
% 32.80/32.97 ; Retrieved 44,189,756 unifiable terms in 350,638 calls.
% 32.80/32.97 ;
% 32.80/32.97 ; The agenda of rows to process has 590 entries:
% 32.80/32.97 ; 5 with value 23 19 with value 45 9 with value 63
% 32.80/32.97 ; 12 with value 24 4 with value 46 36 with value 64
% 32.80/32.97 ; 5 with value 25 1 with value 48 3 with value 65
% 32.80/32.97 ; 18 with value 29 24 with value 49 4 with value 68
% 32.80/32.97 ; 8 with value 31 4 with value 50 6 with value 69
% 32.80/32.97 ; 24 with value 33 4 with value 51 29 with value 72
% 32.80/32.97 ; 77 with value 34 4 with value 52 3 with value 75
% 32.80/32.97 ; 32 with value 35 5 with value 53 32 with value 76
% 32.80/32.97 ; 8 with value 36 14 with value 54 4 with value 77
% 32.80/32.97 ; 8 with value 37 3 with value 55 4 with value 79
% 32.80/32.97 ; 36 with value 39 20 with value 56 16 with value 80
% 32.80/32.97 ; 6 with value 40 4 with value 57 1 with value 81
% 32.80/32.97 ; 26 with value 41 12 with value 58 4 with value 83
% 32.80/32.97 ; 14 with value 43 2 with value 59 6 with value 85
% 32.80/32.97 ; 27 with value 44 3 with value 61 4 with value 89
% 32.80/32.97 ; The agenda of rows to give has 12002 entries:
% 32.80/32.97 ; 60 with value (4 17) 171 with value (4 57) 20 with value (4 97)
% 32.80/32.97 ; 56 with value (4 18) 103 with value (4 58) 34 with value (4 98)
% 32.80/32.97 ; 51 with value (4 19) 164 with value (4 59) 28 with value (4 99)
% 32.80/32.97 ; 6 with value (4 20) 204 with value (4 60) 1 with value (4 100)
% 32.80/32.97 ; 98 with value (4 21) 172 with value (4 61) 12 with value (4 101)
% 32.80/32.97 ; 74 with value (4 22) 182 with value (4 62) 8 with value (4 102)
% 32.80/32.97 ; 172 with value (4 23) 90 with value (4 63) 4 with value (4 103)
% 32.80/32.97 ; 199 with value (4 24) 86 with value (4 64) 8 with value (4 106)
% 32.80/32.97 ; 56 with value (4 25) 111 with value (4 65) 32 with value (4 107)
% 32.80/32.97 ; 143 with value (4 26) 127 with value (4 66) 4 with value (4 108)
% 32.80/32.97 ; 90 with value (4 27) 60 with value (4 67) 5 with value (4 109)
% 32.80/32.97 ; 230 with value (4 28) 55 with value (4 68) 22 with value (4 110)
% 32.80/32.97 ; 119 with value (4 29) 202 with value (4 69) 8 with value (4 112)
% 32.80/32.97 ; 180 with value (4 30) 46 with value (4 70) 30 with value (4 114)
% 32.80/32.97 ; 408 with value (4 31) 18 with value (4 71) 10 with value (4 115)
% 32.80/32.97 ; 309 with value (4 32) 105 with value (4 72) 11 with value (4 117)
% 32.80/32.97 ; 210 with value (4 33) 131 with value (4 73) 58 with value (4 118)
% 32.80/32.97 ; 499 with value (4 34) 101 with value (4 74) 9 with value (4 119)
% 32.80/32.97 ; 350 with value (4 35) 54 with value (4 75) 20 with value (4 121)
% 32.80/32.97 ; 248 with value (4 36) 77 with value (4 76) 1 with value (4 129)
% 32.80/32.97 ; 199 with value (4 37) 150 with value (4 77) 1 with value (4 131)
% 32.80/32.97 ; 305 with value (4 38) 44 with value (4 78) 1 with value (4 134)
% 32.80/32.97 ; 282 with value (4 39) 25 with value (4 79) 3 with value (4 135)
% 32.80/32.97 ; 246 with value (4 40) 109 with value (4 80) 16 with value (4 139)
% 32.80/32.97 ; 354 with value (4 41) 41 with value (4 81) 6 with value (4 142)
% 32.80/32.97 ; 268 with value (4 42) 91 with value (4 82) 32 with value (4 143)
% 32.80/32.97 ; 322 with value (4 43) 20 with value (4 83) 12 with value (4 146)
% 32.80/32.97 ; 203 with value (4 44) 22 with value (4 84) 4 with value (4 159)
% 32.80/32.97 ; 309 with value (4 45) 62 with value (4 85) 8 with value (4 167)
% 32.80/32.97 ; 302 with value (4 46) 108 with value (4 86) 1 with value (4 170)
% 32.80/32.97 ; 202 with value (4 47) 11 with value (4 87) 1 with value (4 172)
% 32.80/32.97 ; 123 with value (4 48) 10 with value (4 88) 1 with value (4 179)
% 32.80/32.97 ; 276 with value (4 49) 59 with value (4 89) 3 with value (4 180)
% 32.80/32.97 ; 174 with value (4 50) 29 with value (4 90) 4 with value (4 211)
% 32.80/32.97 ; 196 with value (4 51) 11 with value (4 91) 8 with value (4 215)
% 32.80/32.97 ; 178 with value (4 52) 4 with value (4 92) 1 with value (4 234)
% 32.80/32.97 ; 282 with value (4 53) 2 with value (4 93) 1 with value (4 236)
% 32.80/32.97 ; 184 with value (4 54) 81 with value (4 94) 1 with value (4 239)
% 32.80/32.97 ; 253 with value (4 55) 7 with value (4 95) 3 with value (4 240)
% 32.80/32.97 ; 207 with value (4 56) 2 with value (4 96)
% 32.80/32.97 Evaluation took:
% 32.80/32.97 32.45 seconds of real time
% 32.80/32.97 31.556812 seconds of user run time
% 32.80/32.97 0.89498 seconds of system run time
% 32.80/32.97 [Run times include 2.692 seconds GC run time.]
% 32.80/32.97 0 calls to %EVAL
% 32.80/32.97 0 page faults and
% 32.80/32.97 1,387,769,736 bytes consed.
% 32.80/32.97 :PROOF-FOUND
% 32.80/32.97 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:28:58
% 32.80/32.97 :PROOF-FOUND
% 32.80/32.97 *
%------------------------------------------------------------------------------