%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO025-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 0.68s 0.88s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 14 unt; 1 nHn; 17 RR)
% Number of literals : 28 ( 4 equ; 11 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 21 ( 0 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(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/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(d2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(d4_2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Y,X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).
cnf(d7,axiom,
equidistant(X,X,Y,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
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_w1,hypothesis,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
cnf(prove_equal_sums,negated_conjecture,
~ equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_sums) ).
cnf(45,plain,
equidistant(u1,v1,u,v),
inference('HYPERRESOLVE',[status(thm)],[d2,u_to_v_equals_u1_to_v1]) ).
cnf(60,plain,
equidistant(v,u,v1,u1),
inference('HYPERRESOLVE',[status(thm)],[d4_2,u_to_v_equals_u1_to_v1]) ).
cnf(61,plain,
~ equidistant(w,u,w1,u1),
inference('UR-RESOLVE',[status(thm)],[d4_2,prove_equal_sums]) ).
cnf(273,plain,
u = v,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[outer_five_segment,60,u_to_v_equals_u1_to_v1,v_to_w_equals_v1_to_w1,d7,v_between_u_and_w,v1_between_u1_and_w1]),61]) ).
cnf(275,plain,
equidistant(u,w,v1,w1),
inference('REWRITE',[status(thm)],[v_to_w_equals_v1_to_w1,273,theory(equality)]) ).
cnf(278,plain,
equidistant(u1,v1,u,u),
inference('REWRITE',[status(thm)],[45,273,theory(equality)]) ).
cnf(343,plain,
u1 = v1,
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,278]) ).
cnf(361,plain,
$false,
inference('REWRITE',[status(thm)],[275,prove_equal_sums,343,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO025-3 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jun 17 17:04:27 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 *
% 0.17/0.47 *
% 0.17/0.47 #<PACKAGE "SNARK-USER">
% 0.17/0.47 *
% 0.17/0.47 SNARK-TPTP-OPTIONS
% 0.17/0.47 *
% 0.17/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.47 (USE-FACTORING :POS)
% 0.17/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.47 *
% 0.17/0.47 "."
% 0.17/0.47 *
% 0.17/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:04:27
% 0.17/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-17T17:04:27
% 0.17/0.49
% 0.68/0.88 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.68/0.88
% 0.68/0.88 #||
% 0.68/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.88 % SZS output start Refutation
% See solution above
% 0.68/0.89 ||#
% 0.68/0.89
% 0.68/0.89 ; Summary of computation:
% 0.68/0.89 ; 2390 formulas have been input or derived (from 63 formulas).
% 0.68/0.89 ; 361 (15%) were retained. Of these,
% 0.68/0.89 ; 157 (43%) were simplified or subsumed later,
% 0.68/0.89 ; 204 (57%) are still being kept.
% 0.68/0.89 ;
% 0.68/0.89 ; Run time in seconds excluding printing time:
% 0.68/0.89 ; 0.006 1% Read assertion file (1 call)
% 0.68/0.89 ; 0.001 0% Assert (41 calls)
% 0.68/0.89 ; 0.037 9% Process new row (1,807 calls)
% 0.68/0.89 ; 0.298 73% Resolution (124 calls)
% 0.68/0.89 ; 0.000 0% Paramodulation (62 calls)
% 0.68/0.89 ; 0.001 0% Condensing (161 calls)
% 0.68/0.89 ; 0.007 2% Forward subsumption (161 calls)
% 0.68/0.89 ; 0.001 0% Backward subsumption (145 calls)
% 0.68/0.89 ; 0.000 0% Clause clause subsumption (633 calls)
% 0.68/0.89 ; 0.021 5% Forward simplification (1,785 calls)
% 0.68/0.89 ; 0.009 2% Backward simplification (361 calls)
% 0.68/0.89 ; 0.001 0% Ordering (214 calls)
% 0.68/0.89 ; 0.000 0% Sortal reasoning (32 calls)
% 0.68/0.89 ; 0.000 0% Purity testing (1 call)
% 0.68/0.89 ; 0.027 7% Other
% 0.68/0.89 ; 0.409 Total
% 0.68/0.89 ; 0.413 Real time
% 0.68/0.89 ;
% 0.68/0.89 ; Term-hash-array has 597 terms in all.
% 0.68/0.89 ; Feature-vector-row-index has 74 entries (115 at peak, 145 added, 71 deleted).
% 0.68/0.89 ; Feature-vector-row-index has 194 nodes (598 at peak, 810 added, 616 deleted).
% 0.68/0.89 ; Retrieved 351 possibly forward subsuming rows in 161 calls.
% 0.68/0.89 ; Retrieved 334 possibly backward subsumed rows in 145 calls.
% 0.68/0.89 ; Path-index has 360 entries (473 at peak, 618 added, 258 deleted).
% 0.68/0.89 ; Path-index has 1,179 nodes (1,313 at peak, 1,512 added, 333 deleted).
% 0.68/0.89 ; Trie-index has 360 entries (473 at peak, 618 added, 258 deleted).
% 0.68/0.89 ; Trie-index has 1,675 nodes (2,305 at peak, 2,926 added, 1,251 deleted).
% 0.68/0.89 ; Retrieved 5,270 generalization terms in 3,304 calls.
% 0.68/0.89 ; Retrieved 353 instance terms in 215 calls.
% 0.68/0.89 ; Retrieved 404,246 unifiable terms in 22,467 calls.
% 0.68/0.89 ;
% 0.68/0.89 ; The agenda of backward simplifiable rows to process has 35 entries:
% 0.68/0.89 ; 35 with value 0
% 0.68/0.89 ; The agenda of rows to process has 52 entries:
% 0.68/0.89 ; 33 with value 8 1 with value 13 2 with value 22
% 0.68/0.89 ; 1 with value 11 8 with value 17 2 with value 26
% 0.68/0.89 ; 5 with value 12
% 0.68/0.89 ; The agenda of input rows to give has 1 entry:
% 0.68/0.89 ; 1 with value 5
% 0.68/0.89 ; The agenda of rows to give has 155 entries:
% 0.68/0.89 ; 1 with value (4 6) 7 with value (4 21) 3 with value (4 32)
% 0.68/0.89 ; 14 with value (4 10) 9 with value (4 22) 2 with value (4 34)
% 0.68/0.89 ; 13 with value (4 11) 6 with value (4 23) 3 with value (4 35)
% 0.68/0.89 ; 12 with value (4 12) 1 with value (4 24) 3 with value (4 36)
% 0.68/0.89 ; 25 with value (4 13) 4 with value (4 25) 1 with value (4 38)
% 0.68/0.89 ; 4 with value (4 14) 4 with value (4 26) 1 with value (4 42)
% 0.68/0.89 ; 6 with value (4 15) 3 with value (4 27) 1 with value (4 44)
% 0.68/0.89 ; 8 with value (4 17) 3 with value (4 28) 1 with value (4 45)
% 0.68/0.89 ; 3 with value (4 18) 2 with value (4 29) 1 with value (4 52)
% 0.68/0.89 ; 6 with value (4 19) 2 with value (4 31) 1 with value (4 53)
% 0.68/0.89 ; 5 with value (4 20)
% 0.68/0.89 Evaluation took:
% 0.68/0.89 0.413 seconds of real time
% 0.68/0.89 0.391791 seconds of user run time
% 0.68/0.89 0.018933 seconds of system run time
% 0.68/0.89 [Run times include 0.006 seconds GC run time.]
% 0.68/0.89 0 calls to %EVAL
% 0.68/0.89 0 page faults and
% 0.68/0.89 23,468,336 bytes consed.
% 0.68/0.89 :PROOF-FOUND
% 0.68/0.89 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:04:28
% 0.68/0.89 :PROOF-FOUND
% 0.68/0.89 *
%------------------------------------------------------------------------------