TSTP Solution File: GEO025-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO025-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:13:13 EDT 2022
% Result : Unsatisfiable 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 19 unt; 1 nHn; 17 RR)
% Number of literals : 32 ( 5 equ; 12 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,Y,V,W)
| equidistant(Z,U,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
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_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(outer_five_segment,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(Y,V,U,W)
| ~ equidistant(X,X1,Z,Y1)
| ~ equidistant(Y,X1,U,Y1)
| ~ between(X,Y,V)
| ~ between(Z,U,W)
| X = Y
| equidistant(V,X1,W,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v1_between_u1_and_w1,hypothesis,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
cnf(prove_equal_sums,negated_conjecture,
~ equidistant(u,w,u1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_sums) ).
cnf(24,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(28,plain,
equidistant(u1,v1,v,u),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,u_to_v_equals_u1_to_v1,reflexivity_for_equidistance]) ).
cnf(32,plain,
~ equidistant(w1,u1,u,w),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,prove_equal_sums]) ).
cnf(67,plain,
equidistant(v,u,v1,u1),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,28,reflexivity_for_equidistance]) ).
cnf(84,plain,
~ equidistant(w,u,w1,u1),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,32,reflexivity_for_equidistance]) ).
cnf(99,plain,
equidistant(X,X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction2,24,theory(equality)]) ).
cnf(157,plain,
u = v,
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,99,u_to_v_equals_u1_to_v1,v_to_w_equals_v1_to_w1,67,v_between_u_and_w,v1_between_u1_and_w1,84]) ).
cnf(158,plain,
equidistant(u,u,u1,v1),
inference('REWRITE',[status(thm)],[u_to_v_equals_u1_to_v1,157,theory(equality)]) ).
cnf(159,plain,
equidistant(u,w,v1,w1),
inference('REWRITE',[status(thm)],[v_to_w_equals_v1_to_w1,157,theory(equality)]) ).
cnf(192,plain,
equidistant(u1,v1,X,X),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,158,99]) ).
cnf(220,plain,
u1 = v1,
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,192]) ).
cnf(235,plain,
$false,
inference('REWRITE',[status(thm)],[159,prove_equal_sums,220,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO025-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 14:01:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:01:17
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T14:01:17
% 0.61/0.83
% 0.61/0.83
% 0.61/0.83 #||
% 0.61/0.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83 % SZS output start Refutation
% See solution above
% 0.61/0.83 ||#
% 0.61/0.83
% 0.61/0.83 ; Summary of computation:
% 0.61/0.83 ; 1886 formulas have been input or derived (from 63 formulas).
% 0.61/0.83 ; 235 (12%) were retained. Of these,
% 0.61/0.83 ; 120 (51%) were simplified or subsumed later,
% 0.61/0.83 ; 115 (49%) are still being kept.
% 0.61/0.83 ;
% 0.61/0.83 ; Run time in seconds excluding printing time:
% 0.61/0.83 ; 0.006 2% Read assertion file (1 call)
% 0.61/0.83 ; 0.001 0% Assert (23 calls)
% 0.61/0.83 ; 0.020 6% Process new row (1,389 calls)
% 0.61/0.83 ; 0.276 76% Resolution (124 calls)
% 0.61/0.83 ; 0.000 0% Paramodulation (62 calls)
% 0.61/0.83 ; 0.001 0% Condensing (127 calls)
% 0.61/0.83 ; 0.005 1% Forward subsumption (127 calls)
% 0.61/0.83 ; 0.001 0% Backward subsumption (98 calls)
% 0.61/0.83 ; 0.001 0% Clause clause subsumption (366 calls)
% 0.61/0.83 ; 0.016 4% Forward simplification (1,154 calls)
% 0.61/0.83 ; 0.006 2% Backward simplification (235 calls)
% 0.61/0.83 ; 0.000 0% Ordering (165 calls)
% 0.61/0.83 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.83 ; 0.000 0% Purity testing (1 call)
% 0.61/0.83 ; 0.029 8% Other
% 0.61/0.83 ; 0.362 Total
% 0.61/0.83 ; 0.364 Real time
% 0.61/0.83 ;
% 0.61/0.83 ; Term-hash-array has 389 terms in all.
% 0.61/0.83 ; Feature-vector-row-index has 40 entries (69 at peak, 98 added, 58 deleted).
% 0.61/0.83 ; Feature-vector-row-index has 138 nodes (458 at peak, 674 added, 536 deleted).
% 0.61/0.83 ; Retrieved 259 possibly forward subsuming rows in 127 calls.
% 0.61/0.83 ; Retrieved 148 possibly backward subsumed rows in 98 calls.
% 0.61/0.83 ; Path-index has 222 entries (297 at peak, 404 added, 182 deleted).
% 0.61/0.83 ; Path-index has 817 nodes (902 at peak, 1,088 added, 271 deleted).
% 0.61/0.83 ; Trie-index has 222 entries (297 at peak, 404 added, 182 deleted).
% 0.61/0.83 ; Trie-index has 1,104 nodes (1,546 at peak, 2,067 added, 963 deleted).
% 0.61/0.83 ; Retrieved 2,524 generalization terms in 1,683 calls.
% 0.61/0.83 ; Retrieved 305 instance terms in 136 calls.
% 0.61/0.83 ; Retrieved 293,788 unifiable terms in 27,991 calls.
% 0.61/0.83 ;
% 0.61/0.83 ; The agenda of backward simplifiable rows to process has 36 entries:
% 0.61/0.83 ; 36 with value 0
% 0.61/0.83 ; The agenda of rows to process has 66 entries:
% 0.61/0.83 ; 12 with value 10 10 with value 17 8 with value 28
% 0.61/0.83 ; 1 with value 13 12 with value 19 1 with value 33
% 0.61/0.83 ; 10 with value 14 1 with value 23 1 with value 34
% 0.61/0.83 ; 10 with value 16
% 0.61/0.83 ; The agenda of input rows to give has 1 entry:
% 0.61/0.83 ; 1 with value 5
% 0.61/0.83 ; The agenda of rows to give has 81 entries:
% 0.61/0.83 ; 1 with value (4 8) 4 with value (4 21) 2 with value (4 33)
% 0.61/0.83 ; 6 with value (4 12) 8 with value (4 23) 2 with value (4 34)
% 0.61/0.83 ; 5 with value (4 13) 2 with value (4 24) 3 with value (4 36)
% 0.61/0.83 ; 13 with value (4 14) 1 with value (4 25) 2 with value (4 37)
% 0.61/0.83 ; 4 with value (4 15) 1 with value (4 26) 1 with value (4 40)
% 0.61/0.83 ; 3 with value (4 16) 6 with value (4 27) 1 with value (4 42)
% 0.61/0.83 ; 1 with value (4 17) 1 with value (4 28) 1 with value (4 53)
% 0.61/0.83 ; 7 with value (4 18) 2 with value (4 29) 1 with value (4 54)
% 0.61/0.83 ; 1 with value (4 19) 2 with value (4 32)
% 0.61/0.83 Evaluation took:
% 0.61/0.83 0.364 seconds of real time
% 0.61/0.83 0.343229 seconds of user run time
% 0.61/0.83 0.021094 seconds of system run time
% 0.61/0.83 [Run times include 0.005 seconds GC run time.]
% 0.61/0.83 0 calls to %EVAL
% 0.61/0.83 0 page faults and
% 0.61/0.83 21,715,840 bytes consed.
% 0.61/0.83 :PROOF-FOUND
% 0.61/0.83 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:01:17
% 0.61/0.83 :PROOF-FOUND
% 0.61/0.83 *
%------------------------------------------------------------------------------