TSTP Solution File: GRP219-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP219-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 30.0s
% Output : Assurance 30.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP219-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 3 23)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 23)
% (binary-posweight-lex-big-order 30 #f 3 23)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(inverse(X),sk_c9) | -equal(multiply(X,sk_c8),sk_c9) | -equal(multiply(Y,Z),sk_c8) | -equal(inverse(Y),Z) | -equal(multiply(Z,sk_c9),sk_c8) | -equal(multiply(sk_c9,U),sk_c8) | -equal(multiply(V,sk_c9),U) | -equal(inverse(V),sk_c9) | -equal(inverse(W),sk_c9) | -equal(multiply(W,sk_c8),sk_c9) | -equal(multiply(X1,sk_c8),sk_c9) | -equal(inverse(X1),sk_c8).
% was split for some strategies as:
% -equal(multiply(X1,sk_c8),sk_c9) | -equal(inverse(X1),sk_c8).
% -equal(inverse(W),sk_c9) | -equal(multiply(W,sk_c8),sk_c9).
% -equal(multiply(sk_c9,U),sk_c8) | -equal(multiply(V,sk_c9),U) | -equal(inverse(V),sk_c9).
% -equal(multiply(Y,Z),sk_c8) | -equal(inverse(Y),Z) | -equal(multiply(Z,sk_c9),sk_c8).
% -equal(inverse(X),sk_c9) | -equal(multiply(X,sk_c8),sk_c9).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(37,40,0,80,0,0,101461,4,1291,107070,5,1502,107071,1,1502,107071,50,1502,107071,40,1502,107114,0,1502,118712,3,1803,119382,4,1953,120291,1,2103,120291,50,2103,120291,40,2103,120334,0,2103,121437,3,2422,121458,4,2576,121554,5,2704,121554,1,2704,121554,50,2704,121554,40,2704,121597,0,2704)
%
%
% START OF PROOF
% 120703 [?] ?
% 121555 [] equal(X,X).
% 121556 [] equal(multiply(identity,X),X).
% 121557 [] equal(multiply(inverse(X),X),identity).
% 121558 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 121560 [] equal(inverse(sk_c4),sk_c9) | equal(inverse(sk_c7),sk_c8).
% 121561 [] equal(multiply(sk_c7,sk_c8),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 121562 [] equal(multiply(sk_c6,sk_c8),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 121563 [] equal(inverse(sk_c4),sk_c9) | equal(inverse(sk_c6),sk_c9).
% 121564 [] equal(multiply(sk_c4,sk_c9),sk_c5) | equal(inverse(sk_c7),sk_c8).
% 121565 [] equal(multiply(sk_c4,sk_c9),sk_c5) | equal(multiply(sk_c7,sk_c8),sk_c9).
% 121567 [] equal(multiply(sk_c4,sk_c9),sk_c5) | equal(inverse(sk_c6),sk_c9).
% 121568 [] equal(multiply(sk_c9,sk_c5),sk_c8) | equal(inverse(sk_c7),sk_c8).
% 121569 [] equal(multiply(sk_c9,sk_c5),sk_c8) | equal(multiply(sk_c7,sk_c8),sk_c9).
% 121571 [] equal(multiply(sk_c9,sk_c5),sk_c8) | equal(inverse(sk_c6),sk_c9).
% 121572 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(inverse(sk_c7),sk_c8).
% 121573 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(multiply(sk_c7,sk_c8),sk_c9).
% 121575 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(inverse(sk_c6),sk_c9).
% 121576 [] equal(inverse(sk_c2),sk_c3) | equal(inverse(sk_c7),sk_c8).
% 121577 [] equal(multiply(sk_c7,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c3).
% 121579 [] equal(inverse(sk_c2),sk_c3) | equal(inverse(sk_c6),sk_c9).
% 121580 [] equal(multiply(sk_c2,sk_c3),sk_c8) | equal(inverse(sk_c7),sk_c8).
% 121581 [] equal(multiply(sk_c2,sk_c3),sk_c8) | equal(multiply(sk_c7,sk_c8),sk_c9).
% 121583 [] equal(multiply(sk_c2,sk_c3),sk_c8) | equal(inverse(sk_c6),sk_c9).
% 121586 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c6,sk_c8),sk_c9).
% 121587 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c6),sk_c9).
% 121589 [] equal(multiply(sk_c7,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c9).
% 121590 [] equal(multiply(sk_c6,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c9).
% 121591 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c6),sk_c9).
% 121592 [] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8).
% 121593 [] $spltprd0($spltcnst17) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 121594 [] $spltprd0($spltcnst18) | -equal(multiply(sk_c9,X),sk_c8) | -equal(multiply(Y,sk_c9),X) | -equal(inverse(Y),sk_c9).
% 121595 [] $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c8) | -equal(multiply(Y,X),sk_c8) | -equal(inverse(Y),X).
% 121596 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 121597 [] -$spltprd0($spltcnst17) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst18) | -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19).
% 121612 [para:121560.2.1,121557.1.1.1] equal(multiply(sk_c8,sk_c7),identity) | equal(inverse(sk_c4),sk_c9).
% 121615 [para:121563.2.1,121557.1.1.1] equal(multiply(sk_c9,sk_c6),identity) | equal(inverse(sk_c4),sk_c9).
% 121673 [para:121590.2.1,121557.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(multiply(sk_c6,sk_c8),sk_c9).
% 121719 [para:121556.1.1,121592.2.1] -equal(inverse(identity),sk_c8) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst16).
% 121721 [para:121561.1.1,121592.2.1,cut:121555] -equal(inverse(sk_c7),sk_c8) | equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst16).
% 121723 [para:121565.2.1,121592.2.1,cut:121555] equal(multiply(sk_c4,sk_c9),sk_c5) | -equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst16).
% 121724 [para:121577.1.1,121592.2.1,cut:121555] -equal(inverse(sk_c7),sk_c8) | equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst16).
% 121731 [para:121569.2.1,121592.2.1,cut:121555] equal(multiply(sk_c9,sk_c5),sk_c8) | -equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst16).
% 121746 [para:121560.2.1,121721.1.1,cut:121555] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst16).
% 121748 [para:121746.1.1,121557.1.1.1] equal(multiply(sk_c9,sk_c4),identity) | $spltprd0($spltcnst16).
% 121762 [para:121587.1.1,121593.2.1,cut:121555,binarycut:121591] equal(inverse(sk_c6),sk_c9) | $spltprd0($spltcnst17).
% 121765 [para:121590.1.1,121593.2.1,cut:121555,binarycut:121762] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst17).
% 121779 [para:121586.1.1,121593.2.1,cut:121555,binarycut:121765] equal(multiply(sk_c6,sk_c8),sk_c9) | $spltprd0($spltcnst17).
% 121799 [para:121568.1.1,121594.2.1,cut:121555] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst18) | -equal(multiply(X,sk_c9),sk_c5) | -equal(inverse(X),sk_c9).
% 121800 [para:121571.1.1,121594.2.1,cut:121555] equal(inverse(sk_c6),sk_c9) | $spltprd0($spltcnst18) | -equal(multiply(X,sk_c9),sk_c5) | -equal(inverse(X),sk_c9).
% 121802 [para:121569.1.1,121594.2.1,cut:121555] equal(multiply(sk_c7,sk_c8),sk_c9) | $spltprd0($spltcnst18) | -equal(multiply(X,sk_c9),sk_c5) | -equal(inverse(X),sk_c9).
% 121835 [para:121572.1.1,121595.2.1,cut:121555] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c3),sk_c8) | -equal(inverse(X),sk_c3).
% 121837 [para:121575.1.1,121595.2.1,cut:121555] equal(inverse(sk_c6),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c3),sk_c8) | -equal(inverse(X),sk_c3).
% 121839 [para:121573.1.1,121595.2.1,cut:121555] equal(multiply(sk_c7,sk_c8),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c3),sk_c8) | -equal(inverse(X),sk_c3).
% 121847 [para:121779.1.1,121593.2.1,cut:121555,binarycut:121762] $spltprd0($spltcnst17).
% 121861 [para:121587.1.1,121596.2.1,cut:121555,binarycut:121591] equal(inverse(sk_c6),sk_c9) | $spltprd0($spltcnst20).
% 121864 [para:121590.1.1,121596.2.1,cut:121555,binarycut:121861] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst20).
% 121878 [para:121586.1.1,121596.2.1,cut:121555,binarycut:121864] equal(multiply(sk_c6,sk_c8),sk_c9) | $spltprd0($spltcnst20).
% 121886 [para:121557.1.1,121558.1.1.1,demod:121556] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 121945 [para:121748.1.1,121558.1.1.1,demod:121556] $spltprd0($spltcnst16) | equal(X,multiply(sk_c9,multiply(sk_c4,X))).
% 121977 [para:121878.1.1,121596.2.1,cut:121555,binarycut:121861] $spltprd0($spltcnst20).
% 121997 [para:121561.1.1,121886.1.2.2] equal(sk_c8,multiply(inverse(sk_c7),sk_c9)) | equal(inverse(sk_c4),sk_c9).
% 122077 [para:121748.1.1,121886.1.2.2] equal(sk_c4,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst16).
% 122082 [binary:121597,121847,cut:121977] -$spltprd0($spltcnst16) | -$spltprd0($spltcnst18) | -$spltprd0($spltcnst19).
% 122086 [para:122077.1.2,121558.1.1.1,demod:121556] $spltprd0($spltcnst16) | equal(multiply(sk_c4,X),multiply(inverse(sk_c9),X)).
% 122102 [para:122086.2.2,121557.1.1] equal(multiply(sk_c4,sk_c9),identity) | $spltprd0($spltcnst16).
% 122129 [para:122102.1.1,121886.1.2.2] equal(sk_c9,multiply(inverse(sk_c4),identity)) | $spltprd0($spltcnst16).
% 122144 [para:122129.1.2,121558.1.1.1,demod:121556] $spltprd0($spltcnst16) | equal(multiply(sk_c9,X),multiply(inverse(sk_c4),X)).
% 122200 [para:121886.1.2,122144.2.2] $spltprd0($spltcnst16) | equal(multiply(sk_c9,multiply(sk_c4,X)),X).
% 122217 [para:121576.2.1,121724.1.1,cut:121555] equal(inverse(sk_c2),sk_c3) | $spltprd0($spltcnst16).
% 122219 [para:122217.1.1,121557.1.1.1] equal(multiply(sk_c3,sk_c2),identity) | $spltprd0($spltcnst16).
% 122225 [para:122219.1.1,121886.1.2.2] equal(sk_c2,multiply(inverse(sk_c3),identity)) | $spltprd0($spltcnst16).
% 122229 [para:122225.1.2,121558.1.1.1,demod:121556] $spltprd0($spltcnst16) | equal(multiply(sk_c2,X),multiply(inverse(sk_c3),X)).
% 122239 [para:122229.2.2,121557.1.1] equal(multiply(sk_c2,sk_c3),identity) | $spltprd0($spltcnst16).
% 122251 [para:122239.1.1,121580.1.1] equal(inverse(sk_c7),sk_c8) | equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 122319 [para:122251.2.2,121719.1.2,cut:120703] equal(inverse(sk_c7),sk_c8) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst16).
% 122644 [para:121560.2.1,121997.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c4),sk_c9).
% 122654 [para:122644.1.2,121886.1.2.2,demod:121557] equal(inverse(sk_c4),sk_c9) | equal(sk_c9,identity).
% 122659 [para:122654.2.1,121615.1.1.1,demod:121556] equal(inverse(sk_c4),sk_c9) | equal(sk_c6,identity).
% 122683 [para:122659.2.1,121562.1.1.1,demod:121556] equal(inverse(sk_c4),sk_c9) | equal(sk_c8,sk_c9).
% 122713 [para:122654.2.2,122683.2.1] equal(inverse(sk_c4),sk_c9) | equal(sk_c8,identity).
% 122716 [para:122713.2.1,121561.1.1.2] equal(multiply(sk_c7,identity),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 122718 [para:122713.2.1,121612.1.1.1,demod:121556] equal(inverse(sk_c4),sk_c9) | equal(sk_c7,identity).
% 122931 [para:122718.2.1,122716.1.1.1,demod:121556] equal(inverse(sk_c4),sk_c9) | equal(identity,sk_c9).
% 123305 [para:121564.2.1,121723.2.1,cut:121555] equal(multiply(sk_c4,sk_c9),sk_c5) | $spltprd0($spltcnst16).
% 123311 [para:123305.1.1,121945.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c5)) | $spltprd0($spltcnst16).
% 123314 [para:123305.1.1,122200.2.1.2] equal(multiply(sk_c9,sk_c5),sk_c9) | $spltprd0($spltcnst16).
% 123356 [para:121568.2.1,121731.2.1,cut:121555] equal(multiply(sk_c9,sk_c5),sk_c8) | $spltprd0($spltcnst16).
% 123367 [para:123356.1.1,123311.1.2] equal(sk_c9,sk_c8) | $spltprd0($spltcnst16).
% 123368 [para:123356.1.1,123314.1.1] equal(sk_c8,sk_c9) | $spltprd0($spltcnst16).
% 123412 [para:123367.1.1,122319.2.2,cut:121555] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst16).
% 123495 [para:121581.2.1,121592.2.1,cut:121555,binarycut:123412] equal(multiply(sk_c2,sk_c3),sk_c8) | $spltprd0($spltcnst16).
% 123500 [para:123495.1.1,122239.1.1] equal(sk_c8,identity) | $spltprd0($spltcnst16).
% 123513 [para:123500.1.1,121719.1.2,cut:120703,binarycut:123368] $spltprd0($spltcnst16).
% 123515 [binary:122082,123513] -$spltprd0($spltcnst18) | -$spltprd0($spltcnst19).
% 123732 [para:121564.1.1,121799.3.1,cut:121555,binarycut:121560] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst18).
% 123736 [binary:123515,123732.2] equal(inverse(sk_c7),sk_c8) | -$spltprd0($spltcnst19).
% 123760 [para:121567.1.1,121800.3.1,cut:121555,binarycut:121563] equal(inverse(sk_c6),sk_c9) | $spltprd0($spltcnst18).
% 123763 [para:123760.1.1,121886.1.2.1] $spltprd0($spltcnst18) | equal(X,multiply(sk_c9,multiply(sk_c6,X))).
% 123764 [binary:123515,123760.2] equal(inverse(sk_c6),sk_c9) | -$spltprd0($spltcnst19).
% 124553 [binary:123515,123763] -$spltprd0($spltcnst19) | equal(X,multiply(sk_c9,multiply(sk_c6,X))).
% 124947 [para:121580.1.1,121835.3.1,cut:121555,binarycut:121576] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst19).
% 124952 [binary:123736.2,124947.2] equal(inverse(sk_c7),sk_c8).
% 124953 [para:124952.1.1,121557.1.1.1] equal(multiply(sk_c8,sk_c7),identity).
% 124954 [para:124953.1.1,121886.1.2.2] equal(sk_c7,multiply(inverse(sk_c8),identity)).
% 124955 [para:124954.1.2,121558.1.1.1,demod:121556] equal(multiply(sk_c7,X),multiply(inverse(sk_c8),X)).
% 124973 [para:124955.1.2,121557.1.1] equal(multiply(sk_c7,sk_c8),identity).
% 124992 [para:121565.1.1,124973.2.1] equal(multiply(sk_c4,sk_c9),sk_c5) | equal(identity,sk_c9).
% 124994 [para:124973.1.1,121577.1.1] equal(inverse(sk_c2),sk_c3) | equal(identity,sk_c9).
% 124996 [para:124973.1.1,121589.1.1] equal(inverse(sk_c1),sk_c9) | equal(identity,sk_c9).
% 125006 [para:124973.1.1,121886.1.2.2,demod:124952] equal(sk_c8,multiply(sk_c8,identity)).
% 125016 [para:121583.1.1,121837.3.1,cut:121555,binarycut:121579] equal(inverse(sk_c6),sk_c9) | $spltprd0($spltcnst19).
% 125020 [para:125016.1.1,121886.1.2.1,binarycut:124553] equal(X,multiply(sk_c9,multiply(sk_c6,X))).
% 125021 [binary:123764.2,125016.2] equal(inverse(sk_c6),sk_c9).
% 125022 [para:125021.1.1,121557.1.1.1] equal(multiply(sk_c9,sk_c6),identity).
% 125023 [para:125022.1.1,121886.1.2.2] equal(sk_c6,multiply(inverse(sk_c9),identity)).
% 125029 [para:125023.1.2,121558.1.1.1,demod:121556] equal(multiply(sk_c6,X),multiply(inverse(sk_c9),X)).
% 125136 [para:121581.1.1,121839.3.1,demod:124973,cut:121555,binarycut:124994] equal(identity,sk_c9) | $spltprd0($spltcnst19).
% 125144 [para:125136.1.2,121595.2.1.2,factor:cut:120703] -equal(identity,sk_c8) | $spltprd0($spltcnst19).
% 125170 [para:125136.1.2,125022.1.1.1,demod:121556] equal(sk_c6,identity) | $spltprd0($spltcnst19).
% 125532 [para:124996.2.2,125022.1.1.1,demod:121556] equal(inverse(sk_c1),sk_c9) | equal(sk_c6,identity).
% 125594 [para:125532.2.1,121590.1.1.1,demod:121556] equal(inverse(sk_c1),sk_c9) | equal(sk_c8,sk_c9).
% 125827 [para:125594.2.2,125136.1.2,binarycut:125144] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst19).
% 125832 [para:125827.1.1,121557.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | $spltprd0($spltcnst19).
% 125914 [para:125832.1.1,121886.1.2.2,demod:125023] equal(sk_c1,sk_c6) | $spltprd0($spltcnst19).
% 125920 [para:125914.1.1,121586.1.1.1] equal(multiply(sk_c6,sk_c8),sk_c9) | $spltprd0($spltcnst19).
% 126046 [para:125170.1.1,125920.1.1.1,demod:121556] equal(sk_c8,sk_c9) | $spltprd0($spltcnst19).
% 126079 [para:126046.1.2,125136.1.2,binarycut:125144] $spltprd0($spltcnst19).
% 126341 [para:125029.1.2,121557.1.1] equal(multiply(sk_c6,sk_c9),identity).
% 126386 [para:126341.1.1,121886.1.2.2,demod:125021] equal(sk_c9,multiply(sk_c9,identity)).
% 128694 [para:124992.1.1,121802.3.1,demod:124973,cut:121555,binarycut:122931] equal(identity,sk_c9) | $spltprd0($spltcnst18).
% 128732 [para:128694.1.2,121594.2.1.1,demod:121556] $spltprd0($spltcnst18) | -equal(multiply(X,sk_c9),Y) | -equal(inverse(X),sk_c9) | -equal(Y,sk_c8).
% 128753 [binary:123515,128694.2,cut:126079] equal(identity,sk_c9).
% 128818 [para:128753.1.2,125022.1.1.1,demod:121556] equal(sk_c6,identity).
% 128819 [para:128753.1.2,125020.1.2.1,demod:121556] equal(X,multiply(sk_c6,X)).
% 128823 [para:128753.1.2,126386.1.2.1,demod:121556] equal(sk_c9,identity).
% 128846 [para:128818.1.1,125021.1.1.1] equal(inverse(identity),sk_c9).
% 128860 [para:128823.1.1,121673.1.1.1,demod:128819,121556] equal(sk_c1,identity) | equal(sk_c8,sk_c9).
% 129111 [para:128860.1.1,121586.1.1.1,demod:128819,121556] equal(sk_c8,sk_c9).
% 129211 [para:129111.1.2,126386.1.2.1,demod:125006] equal(sk_c9,sk_c8).
% 130173 [binary:121556,128732.2,demod:128846,cut:121555,cut:129211] $spltprd0($spltcnst18).
% 130174 [binary:123515,130173,cut:126079] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 23
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4806
% derived clauses: 762716
% kept clauses: 22845
% kept size sum: 498328
% kept mid-nuclei: 101436
% kept new demods: 214
% forw unit-subs: 209045
% forw double-subs: 347200
% forw overdouble-subs: 61917
% backward subs: 4274
% fast unit cutoff: 9753
% full unit cutoff: 0
% dbl unit cutoff: 248
% real runtime : 33.99
% process. runtime: 33.96
% specific non-discr-tree subsumption statistics:
% tried: 2167703
% length fails: 89269
% strength fails: 764733
% predlist fails: 400379
% aux str. fails: 308661
% by-lit fails: 212281
% full subs tried: 330439
% full subs fail: 276812
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP219-1+eq_r.in")
%
%------------------------------------------------------------------------------