TSTP Solution File: GEO001-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 06:12:56 EDT 2022
% Result : Unsatisfiable 78.52s 78.77s
% Output : Refutation 78.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(t3,axiom,
between(X,Y,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(b_between_a_and_c,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_a_and_c) ).
cnf(prove_b_between_c_and_a,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
cnf(84,plain,
between(b,inner_pasch(a,b,c,c,X),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,b_between_a_and_c,t3]) ).
cnf(93,plain,
between(c,inner_pasch(a,b,c,c,X),a),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,b_between_a_and_c,t3]) ).
cnf(10720,plain,
b = inner_pasch(a,b,c,c,b),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,84]) ).
cnf(17468,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[93,10720,theory(equality)]),prove_b_between_c_and_a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 07:09:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:09:38
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T07:09:38
% 0.18/0.48
% 78.52/78.77 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 78.52/78.77
% 78.52/78.77 #||
% 78.52/78.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.52/78.77 % SZS output start Refutation
% See solution above
% 78.59/78.77 ||#
% 78.59/78.77
% 78.59/78.77 ; Summary of computation:
% 78.59/78.77 ; 99822 formulas have been input or derived (from 183 formulas).
% 78.59/78.77 ; 17468 (17%) were retained. Of these,
% 78.59/78.77 ; 973 ( 6%) were simplified or subsumed later,
% 78.59/78.77 ; 16495 (94%) are still being kept.
% 78.59/78.77 ;
% 78.59/78.77 ; Run time in seconds:
% 78.59/78.77 ; 0.010 0% Read assertion file (1 call)
% 78.59/78.77 ; 0.002 0% Assert (47 calls)
% 78.59/78.77 ; 1.942 2% Process new row (91,469 calls)
% 78.59/78.77 ; 72.124 92% Resolution (364 calls)
% 78.59/78.77 ; 0.015 0% Paramodulation (182 calls)
% 78.59/78.77 ; 0.000 0% Factoring (1 call)
% 78.59/78.77 ; 0.022 0% Condensing (1,865 calls)
% 78.59/78.77 ; 0.291 0% Forward subsumption (1,865 calls)
% 78.59/78.77 ; 0.157 0% Backward subsumption (1,612 calls)
% 78.59/78.77 ; 0.171 0% Clause clause subsumption (86,238 calls)
% 78.59/78.77 ; 2.755 4% Forward simplification (91,469 calls)
% 78.59/78.77 ; 0.503 1% Backward simplification (17,467 calls)
% 78.59/78.77 ; 0.008 0% Ordering (3,614 calls)
% 78.59/78.77 ; 0.000 0% Sortal reasoning (32 calls)
% 78.59/78.77 ; 0.000 0% Purity testing (1 call)
% 78.59/78.77 ; 0.297 0% Other
% 78.59/78.77 ; 78.297 Total
% 78.59/78.77 ; 78.315 Real time
% 78.59/78.77 ;
% 78.59/78.77 ; Term-hash-array has 31,800 terms in all.
% 78.59/78.77 ; Feature-vector-row-index has 1,429 entries (1,429 at peak, 1,612 added, 183 deleted).
% 78.59/78.77 ; Feature-vector-row-index has 3,420 nodes (3,420 at peak, 4,657 added, 1,237 deleted).
% 78.59/78.77 ; Retrieved 57,765 possibly forward subsuming rows in 1,865 calls.
% 78.59/78.77 ; Retrieved 33,250 possibly backward subsumed rows in 1,612 calls.
% 78.59/78.77 ; Path-index has 30,716 entries (30,716 at peak, 32,437 added, 1,721 deleted).
% 78.59/78.77 ; Path-index has 19,493 nodes (19,493 at peak, 19,921 added, 428 deleted).
% 78.59/78.77 ; Trie-index has 30,716 entries (30,716 at peak, 32,437 added, 1,721 deleted).
% 78.59/78.77 ; Trie-index has 306,610 nodes (306,610 at peak, 323,572 added, 16,962 deleted).
% 78.59/78.77 ; Retrieved 1,203,678 generalization terms in 341,742 calls.
% 78.59/78.77 ; Retrieved 35,541 instance terms in 15,854 calls.
% 78.59/78.77 ; Retrieved 99,417,636 unifiable terms in 1,254,776 calls.
% 78.59/78.77 ;
% 78.59/78.77 ; The agenda of rows to process has 22 entries:
% 78.59/78.77 ; 1 with value 8 1 with value 16 1 with value 21
% 78.59/78.77 ; 4 with value 14 1 with value 18 8 with value 25
% 78.59/78.77 ; 1 with value 15 1 with value 19 4 with value 30
% 78.59/78.77 ; The agenda of rows to give has 16312 entries:
% 78.59/78.77 ; 3 with value (4 12) 547 with value (4 40) 108 with value (4 67)
% 78.59/78.77 ; 90 with value (4 13) 416 with value (4 41) 20 with value (4 68)
% 78.59/78.77 ; 99 with value (4 14) 314 with value (4 42) 32 with value (4 69)
% 78.59/78.77 ; 100 with value (4 15) 351 with value (4 43) 29 with value (4 70)
% 78.59/78.77 ; 153 with value (4 16) 409 with value (4 44) 75 with value (4 71)
% 78.59/78.77 ; 109 with value (4 17) 297 with value (4 45) 11 with value (4 72)
% 78.59/78.77 ; 180 with value (4 18) 180 with value (4 46) 57 with value (4 73)
% 78.59/78.77 ; 199 with value (4 19) 403 with value (4 47) 13 with value (4 74)
% 78.59/78.77 ; 164 with value (4 20) 326 with value (4 48) 84 with value (4 75)
% 78.59/78.77 ; 242 with value (4 21) 342 with value (4 49) 36 with value (4 76)
% 78.59/78.77 ; 224 with value (4 22) 170 with value (4 50) 40 with value (4 78)
% 78.59/78.77 ; 372 with value (4 23) 305 with value (4 51) 4 with value (4 80)
% 78.59/78.77 ; 431 with value (4 24) 245 with value (4 52) 12 with value (4 82)
% 78.59/78.77 ; 388 with value (4 25) 220 with value (4 53) 4 with value (4 83)
% 78.59/78.77 ; 477 with value (4 26) 83 with value (4 54) 24 with value (4 84)
% 78.59/78.77 ; 524 with value (4 27) 195 with value (4 55) 16 with value (4 85)
% 78.59/78.77 ; 536 with value (4 28) 79 with value (4 56) 20 with value (4 88)
% 78.59/78.77 ; 621 with value (4 29) 121 with value (4 57) 12 with value (4 90)
% 78.59/78.77 ; 527 with value (4 30) 111 with value (4 58) 52 with value (4 92)
% 78.59/78.77 ; 563 with value (4 31) 139 with value (4 59) 16 with value (4 93)
% 78.59/78.77 ; 564 with value (4 32) 77 with value (4 60) 20 with value (4 94)
% 78.59/78.77 ; 346 with value (4 33) 23 with value (4 61) 8 with value (4 96)
% 78.59/78.77 ; 580 with value (4 34) 35 with value (4 62) 4 with value (4 99)
% 78.59/78.78 ; 386 with value (4 35) 119 with value (4 63) 16 with value (4 111)
% 78.59/78.78 ; 523 with value (4 36) 29 with value (4 64) 16 with value (4 112)
% 78.59/78.78 ; 450 with value (4 37) 20 with value (4 65) 16 with value (4 114)
% 78.59/78.78 ; 527 with value (4 38) 18 with value (4 66) 32 with value (4 116)
% 78.59/78.78 ; 583 with value (4 39)
% 78.59/78.78 Evaluation took:
% 78.59/78.78 78.317 seconds of real time
% 78.59/78.78 77.33602 seconds of user run time
% 78.59/78.78 0.963992 seconds of system run time
% 78.59/78.78 [Run times include 4.428 seconds GC run time.]
% 78.59/78.78 0 calls to %EVAL
% 78.59/78.78 0 page faults and
% 78.59/78.78 2,766,810,504 bytes consed.
% 78.59/78.78 :PROOF-FOUND
% 78.59/78.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:10:56
% 78.59/78.78 :PROOF-FOUND
% 78.59/78.78 *
%------------------------------------------------------------------------------