TSTP Solution File: GEO002-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 06:12:57 EDT 2022
% Result : Unsatisfiable 1.37s 1.57s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 20 ( 4 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 : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 38 ( 9 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(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
cnf(20,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(37,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,20,theory(equality)]) ).
cnf(39,plain,
between(X,inner_pasch(Y,X,X,X,Z),Y),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,37,37]) ).
cnf(40,plain,
between(X,inner_pasch(Y,X,X,X,Z),Z),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,37,37]) ).
cnf(155,plain,
X = inner_pasch(X,X,X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,39]) ).
cnf(712,plain,
between(X,X,Y),
inference('PARAMODULATE',[status(thm)],[40,155,theory(equality)]) ).
cnf(713,plain,
$false,
inference('REWRITE',[status(thm)],[prove_a_between_a_and_b,712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 05:52:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((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 2022-06-18T05:52:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-18T05:52:38
% 1.37/1.57
% 1.37/1.57
% 1.37/1.57 #||
% 1.37/1.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.57 % SZS output start Refutation
% See solution above
% 1.37/1.57 ||#
% 1.37/1.57
% 1.37/1.57 ; Summary of computation:
% 1.37/1.57 ; 4438 formulas have been input or derived (from 34 formulas).
% 1.37/1.57 ; 713 (16%) were retained. Of these,
% 1.37/1.57 ; 75 (11%) were simplified or subsumed later,
% 1.37/1.57 ; 638 (89%) are still being kept.
% 1.37/1.57 ;
% 1.37/1.57 ; Run time in seconds excluding printing time:
% 1.37/1.57 ; 0.006 1% Read assertion file (1 call)
% 1.37/1.57 ; 0.000 0% Assert (19 calls)
% 1.37/1.57 ; 0.062 6% Process new row (3,730 calls)
% 1.37/1.57 ; 0.807 73% Resolution (66 calls)
% 1.37/1.57 ; 0.001 0% Paramodulation (33 calls)
% 1.37/1.57 ; 0.008 1% Condensing (361 calls)
% 1.37/1.57 ; 0.025 2% Forward subsumption (361 calls)
% 1.37/1.57 ; 0.037 3% Backward subsumption (278 calls)
% 1.37/1.57 ; 0.015 1% Clause clause subsumption (10,180 calls)
% 1.37/1.57 ; 0.092 8% Forward simplification (3,730 calls)
% 1.37/1.57 ; 0.016 1% Backward simplification (713 calls)
% 1.37/1.57 ; 0.000 0% Ordering (322 calls)
% 1.37/1.57 ; 0.000 0% Sortal reasoning (32 calls)
% 1.37/1.57 ; 0.000 0% Purity testing (1 call)
% 1.37/1.57 ; 0.034 3% Other
% 1.37/1.57 ; 1.103 Total
% 1.37/1.57 ; 1.105 Real time
% 1.37/1.57 ;
% 1.37/1.57 ; Term-hash-array has 1,659 terms in all.
% 1.37/1.57 ; Feature-vector-row-index has 224 entries (228 at peak, 278 added, 54 deleted).
% 1.37/1.57 ; Feature-vector-row-index has 140 nodes (143 at peak, 172 added, 32 deleted).
% 1.37/1.57 ; Retrieved 7,478 possibly forward subsuming rows in 361 calls.
% 1.37/1.57 ; Retrieved 3,976 possibly backward subsumed rows in 278 calls.
% 1.37/1.57 ; Path-index has 1,569 entries (1,576 at peak, 1,751 added, 182 deleted).
% 1.37/1.57 ; Path-index has 3,074 nodes (3,079 at peak, 3,169 added, 95 deleted).
% 1.37/1.57 ; Trie-index has 1,569 entries (1,576 at peak, 1,751 added, 182 deleted).
% 1.37/1.57 ; Trie-index has 7,914 nodes (7,920 at peak, 8,239 added, 325 deleted).
% 1.37/1.57 ; Retrieved 33,891 generalization terms in 14,989 calls.
% 1.37/1.57 ; Retrieved 1,843 instance terms in 434 calls.
% 1.37/1.57 ; Retrieved 1,783,984 unifiable terms in 45,515 calls.
% 1.37/1.57 ;
% 1.37/1.57 ; The agenda of rows to process has 1 entry:
% 1.37/1.57 ; 1 with value 10
% 1.37/1.57 ; The agenda of rows to give has 605 entries:
% 1.37/1.57 ; 1 with value (4 10) 9 with value (4 33) 10 with value (4 54)
% 1.37/1.57 ; 1 with value (4 14) 1 with value (4 34) 25 with value (4 55)
% 1.37/1.57 ; 1 with value (4 15) 3 with value (4 35) 2 with value (4 56)
% 1.37/1.57 ; 1 with value (4 16) 27 with value (4 36) 1 with value (4 59)
% 1.37/1.57 ; 2 with value (4 17) 17 with value (4 37) 13 with value (4 60)
% 1.37/1.57 ; 13 with value (4 18) 5 with value (4 38) 16 with value (4 61)
% 1.37/1.57 ; 12 with value (4 19) 7 with value (4 39) 9 with value (4 62)
% 1.37/1.57 ; 2 with value (4 20) 11 with value (4 40) 3 with value (4 63)
% 1.37/1.57 ; 7 with value (4 21) 56 with value (4 41) 8 with value (4 65)
% 1.37/1.57 ; 3 with value (4 22) 5 with value (4 42) 22 with value (4 69)
% 1.37/1.57 ; 6 with value (4 23) 9 with value (4 43) 4 with value (4 72)
% 1.37/1.57 ; 4 with value (4 24) 2 with value (4 44) 16 with value (4 73)
% 1.37/1.57 ; 5 with value (4 25) 13 with value (4 45) 16 with value (4 77)
% 1.37/1.57 ; 8 with value (4 26) 27 with value (4 46) 16 with value (4 80)
% 1.37/1.57 ; 7 with value (4 27) 8 with value (4 47) 8 with value (4 86)
% 1.37/1.57 ; 7 with value (4 28) 1 with value (4 48) 4 with value (4 90)
% 1.37/1.57 ; 3 with value (4 29) 25 with value (4 49) 24 with value (4 94)
% 1.37/1.57 ; 6 with value (4 30) 20 with value (4 50) 8 with value (4 114)
% 1.37/1.57 ; 18 with value (4 31) 2 with value (4 51) 16 with value (4 118)
% 1.37/1.57 ; 12 with value (4 32) 17 with value (4 53)
% 1.37/1.57 Evaluation took:
% 1.37/1.57 1.105 seconds of real time
% 1.37/1.57 1.071977 seconds of user run time
% 1.37/1.57 0.03312 seconds of system run time
% 1.37/1.57 [Run times include 0.041 seconds GC run time.]
% 1.37/1.57 0 calls to %EVAL
% 1.37/1.57 0 page faults and
% 1.37/1.57 73,519,064 bytes consed.
% 1.37/1.57 :PROOF-FOUND
% 1.37/1.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:52:39
% 1.37/1.57 :PROOF-FOUND
% 1.37/1.57 *
%------------------------------------------------------------------------------