TSTP Solution File: GEO048-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 06:13:26 EDT 2022
% Result : Unsatisfiable 7.50s 7.70s
% Output : Refutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 18 unt; 0 nHn; 14 RR)
% Number of literals : 28 ( 5 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 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/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v1_between_u1_and_w,hypothesis,
between(u1,v1,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
cnf(x_between_u_and_u1,hypothesis,
between(u,x,u1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_between_u_and_u1) ).
cnf(prove_conclusion2,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_conclusion2) ).
cnf(24,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(84,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,24,theory(equality)]) ).
cnf(87,plain,
between(v,inner_pasch(X,w,w,v,u),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,84,v_between_u_and_w]) ).
cnf(88,plain,
between(v1,inner_pasch(X,w,w,v1,u1),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,84,v1_between_u1_and_w]) ).
cnf(91,plain,
between(w,inner_pasch(X,w,w,v,u),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,84,v_between_u_and_w]) ).
cnf(92,plain,
between(w,inner_pasch(X,w,w,v1,u1),u1),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,84,v1_between_u1_and_w]) ).
cnf(793,plain,
v = inner_pasch(v,w,w,v,u),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,87]) ).
cnf(912,plain,
v1 = inner_pasch(v1,w,w,v1,u1),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,88]) ).
cnf(5126,plain,
between(w,v,u),
inference('PARAMODULATE',[status(thm)],[91,793,theory(equality)]) ).
cnf(5136,plain,
~ between(v1,inner_pasch(u,x,u1,v1,w),u),
inference('UR-RESOLVE',[status(thm)],[inner_pasch2,5126,prove_conclusion2]) ).
cnf(5382,plain,
between(w,v1,u1),
inference('PARAMODULATE',[status(thm)],[92,912,theory(equality)]) ).
cnf(5388,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,5382,x_between_u_and_u1]),5136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 18:20:13 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:20:14
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T18:20:14
% 7.50/7.70
% 7.50/7.70
% 7.50/7.70 #||
% 7.50/7.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/7.70 % SZS output start Refutation
% See solution above
% 7.50/7.72 ||#
% 7.50/7.72
% 7.50/7.72 ; Summary of computation:
% 7.50/7.72 ; 16448 formulas have been input or derived (from 62 formulas).
% 7.50/7.72 ; 5388 (33%) were retained. Of these,
% 7.50/7.72 ; 409 ( 8%) were simplified or subsumed later,
% 7.50/7.72 ; 4979 (92%) are still being kept.
% 7.50/7.72 ;
% 7.50/7.72 ; Run time in seconds excluding printing time:
% 7.50/7.72 ; 0.006 0% Read assertion file (1 call)
% 7.50/7.72 ; 0.001 0% Assert (23 calls)
% 7.50/7.72 ; 0.635 9% Process new row (14,764 calls)
% 7.50/7.72 ; 4.963 69% Resolution (122 calls)
% 7.50/7.72 ; 0.006 0% Paramodulation (61 calls)
% 7.50/7.72 ; 0.018 0% Condensing (2,590 calls)
% 7.50/7.72 ; 0.431 6% Forward subsumption (2,590 calls)
% 7.50/7.72 ; 0.282 4% Backward subsumption (1,961 calls)
% 7.50/7.72 ; 0.161 2% Clause clause subsumption (91,297 calls)
% 7.50/7.72 ; 0.447 6% Forward simplification (14,764 calls)
% 7.50/7.72 ; 0.167 2% Backward simplification (5,388 calls)
% 7.50/7.72 ; 0.001 0% Ordering (2,906 calls)
% 7.50/7.72 ; 0.000 0% Sortal reasoning (32 calls)
% 7.50/7.72 ; 0.000 0% Purity testing (1 call)
% 7.50/7.72 ; 0.080 1% Other
% 7.50/7.72 ; 7.198 Total
% 7.50/7.72 ; 7.217 Real time
% 7.57/7.72 ;
% 7.57/7.72 ; Term-hash-array has 10,535 terms in all.
% 7.57/7.72 ; Feature-vector-row-index has 1,608 entries (1,608 at peak, 1,961 added, 353 deleted).
% 7.57/7.72 ; Feature-vector-row-index has 5,299 nodes (5,299 at peak, 7,924 added, 2,625 deleted).
% 7.57/7.72 ; Retrieved 67,376 possibly forward subsuming rows in 2,590 calls.
% 7.57/7.72 ; Retrieved 35,844 possibly backward subsumed rows in 1,961 calls.
% 7.57/7.72 ; Path-index has 10,084 entries (10,084 at peak, 11,055 added, 971 deleted).
% 7.57/7.72 ; Path-index has 6,210 nodes (6,210 at peak, 6,590 added, 380 deleted).
% 7.57/7.72 ; Trie-index has 10,084 entries (10,084 at peak, 11,055 added, 971 deleted).
% 7.57/7.72 ; Trie-index has 91,441 nodes (91,441 at peak, 99,797 added, 8,356 deleted).
% 7.57/7.72 ; Retrieved 135,354 generalization terms in 53,449 calls.
% 7.57/7.72 ; Retrieved 17,407 instance terms in 3,426 calls.
% 7.57/7.72 ; Retrieved 10,942,987 unifiable terms in 130,615 calls.
% 7.57/7.72 ;
% 7.57/7.72 ; The agenda of rows to process has 451 entries:
% 7.57/7.72 ; 17 with value 17 25 with value 26 40 with value 34
% 7.57/7.72 ; 1 with value 18 8 with value 27 25 with value 35
% 7.57/7.72 ; 1 with value 19 60 with value 28 40 with value 38
% 7.57/7.72 ; 40 with value 21 27 with value 30 1 with value 39
% 7.57/7.72 ; 52 with value 23 16 with value 31 40 with value 40
% 7.57/7.72 ; 18 with value 24 40 with value 32
% 7.57/7.72 ; The agenda of rows to give has 4917 entries:
% 7.57/7.72 ; 5 with value (4 14) 65 with value (4 35) 7 with value (4 58)
% 7.57/7.72 ; 4 with value (4 15) 180 with value (4 36) 8 with value (4 59)
% 7.57/7.72 ; 10 with value (4 16) 86 with value (4 37) 94 with value (4 60)
% 7.57/7.72 ; 25 with value (4 17) 93 with value (4 38) 168 with value (4 61)
% 7.57/7.72 ; 36 with value (4 18) 66 with value (4 39) 33 with value (4 62)
% 7.57/7.72 ; 32 with value (4 19) 117 with value (4 40) 3 with value (4 63)
% 7.57/7.72 ; 16 with value (4 20) 302 with value (4 41) 7 with value (4 64)
% 7.57/7.72 ; 137 with value (4 21) 5 with value (4 42) 77 with value (4 65)
% 7.57/7.72 ; 21 with value (4 22) 9 with value (4 43) 7 with value (4 67)
% 7.57/7.72 ; 79 with value (4 23) 2 with value (4 44) 224 with value (4 69)
% 7.57/7.72 ; 43 with value (4 24) 26 with value (4 45) 4 with value (4 72)
% 7.57/7.72 ; 31 with value (4 25) 96 with value (4 46) 168 with value (4 73)
% 7.57/7.72 ; 117 with value (4 26) 32 with value (4 47) 168 with value (4 77)
% 7.57/7.72 ; 31 with value (4 27) 15 with value (4 48) 7 with value (4 79)
% 7.57/7.72 ; 133 with value (4 28) 137 with value (4 49) 85 with value (4 80)
% 7.57/7.72 ; 77 with value (4 29) 108 with value (4 50) 32 with value (4 86)
% 7.57/7.72 ; 105 with value (4 30) 14 with value (4 51) 4 with value (4 90)
% 7.57/7.72 ; 762 with value (4 31) 91 with value (4 53) 72 with value (4 94)
% 7.57/7.72 ; 162 with value (4 32) 48 with value (4 54) 32 with value (4 114)
% 7.57/7.72 ; 76 with value (4 33) 194 with value (4 55) 64 with value (4 118)
% 7.57/7.72 ; 51 with value (4 34) 14 with value (4 56)
% 7.57/7.72 Evaluation took:
% 7.57/7.72 7.219 seconds of real time
% 7.57/7.72 6.961117 seconds of user run time
% 7.57/7.72 0.257032 seconds of system run time
% 7.57/7.72 [Run times include 0.551 seconds GC run time.]
% 7.57/7.72 0 calls to %EVAL
% 7.57/7.72 0 page faults and
% 7.57/7.72 416,638,512 bytes consed.
% 7.57/7.72 :PROOF-FOUND
% 7.57/7.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:20:21
% 7.57/7.72 :PROOF-FOUND
% 7.57/7.72 *
%------------------------------------------------------------------------------