TSTP Solution File: SYN486-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN486-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %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 : 300s
% DateTime : Fri May 19 12:29:01 EDT 2023
% Result : Unsatisfiable 8.54s 2.81s
% Output : Refutation 8.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 267
% Syntax : Number of formulae : 468 ( 1 unt; 67 typ; 0 def)
% Number of atoms : 1583 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2974 ( 856 ~;1182 |; 0 &; 936 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 67 usr; 64 con; 0-1 aty)
% Number of variables : 250 ( 0 ^; 250 !; 0 ?; 250 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp30_type,type,
hskp30: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(hskp25_type,type,
hskp25: $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(hskp23_type,type,
hskp23: $o ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(hskp20_type,type,
hskp20: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(hskp18_type,type,
hskp18: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(hskp15_type,type,
hskp15: $o ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(hskp10_type,type,
hskp10: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp5_type,type,
hskp5: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(hskp3_type,type,
hskp3: $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp0_type,type,
hskp0: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a2208_type,type,
a2208: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a2196_type,type,
a2196: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a2188_type,type,
a2188: $i ).
thf(a2178_type,type,
a2178: $i ).
thf(a2268_type,type,
a2268: $i ).
thf(a2265_type,type,
a2265: $i ).
thf(a2262_type,type,
a2262: $i ).
thf(a2219_type,type,
a2219: $i ).
thf(a2216_type,type,
a2216: $i ).
thf(a2213_type,type,
a2213: $i ).
thf(a2198_type,type,
a2198: $i ).
thf(a2197_type,type,
a2197: $i ).
thf(a2194_type,type,
a2194: $i ).
thf(a2193_type,type,
a2193: $i ).
thf(a2191_type,type,
a2191: $i ).
thf(a2189_type,type,
a2189: $i ).
thf(a2187_type,type,
a2187: $i ).
thf(a2186_type,type,
a2186: $i ).
thf(a2185_type,type,
a2185: $i ).
thf(a2184_type,type,
a2184: $i ).
thf(a2182_type,type,
a2182: $i ).
thf(a2181_type,type,
a2181: $i ).
thf(a2180_type,type,
a2180: $i ).
thf(a2179_type,type,
a2179: $i ).
thf(a2176_type,type,
a2176: $i ).
thf(a2175_type,type,
a2175: $i ).
thf(a2174_type,type,
a2174: $i ).
thf(a2248_type,type,
a2248: $i ).
thf(a2211_type,type,
a2211: $i ).
thf(a2195_type,type,
a2195: $i ).
thf(a2177_type,type,
a2177: $i ).
thf(55,negated_conjecture,
( ~ hskp25
| ( c1_1 @ a2265 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
thf(365,plain,
( ~ hskp25
| ( c1_1 @ a2265 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(177,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
thf(347,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(164,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
thf(234,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(175,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
thf(352,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp29 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(123,negated_conjecture,
( ~ ( c0_1 @ a2182 )
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
thf(333,plain,
( ~ ( c0_1 @ a2182 )
| ~ hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(102,negated_conjecture,
( ~ ( c2_1 @ a2211 )
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
thf(249,plain,
( ~ ( c2_1 @ a2211 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(86,negated_conjecture,
( ~ hskp1
| ( c2_1 @ a2175 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
thf(308,plain,
( ~ hskp1
| ( c2_1 @ a2175 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(6,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(247,plain,
( ~ hskp25
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(183,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ B )
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
thf(379,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ B )
| hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(169,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
thf(269,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(138,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c3_1 @ A )
| hskp15
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
thf(202,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c3_1 @ A )
| hskp15
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(37,negated_conjecture,
( hskp13
| hskp24
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(217,plain,
( hskp13
| hskp24
| hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(173,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
thf(276,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(94,negated_conjecture,
( ~ ( c1_1 @ a2248 )
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
thf(385,plain,
( ~ ( c1_1 @ a2248 )
| ~ hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(195,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c3_1 @ C )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
thf(384,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c3_1 @ C )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(95,negated_conjecture,
( ~ ( c2_1 @ a2248 )
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
thf(340,plain,
( ~ ( c2_1 @ a2248 )
| ~ hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(161,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
thf(288,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(118,negated_conjecture,
( ~ ( c0_1 @ a2186 )
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
thf(301,plain,
( ~ ( c0_1 @ a2186 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(91,negated_conjecture,
( ~ ( c2_1 @ a2265 )
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
thf(320,plain,
( ~ ( c2_1 @ a2265 )
| ~ hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(28,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
thf(257,plain,
( ~ hskp3
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(68,negated_conjecture,
( ~ hskp14
| ( c3_1 @ a2193 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
thf(389,plain,
( ~ hskp14
| ( c3_1 @ a2193 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(151,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp0
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
thf(372,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp0
| hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(16,negated_conjecture,
( ~ hskp15
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(344,plain,
( ~ hskp15
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(104,negated_conjecture,
( ~ ( c1_1 @ a2198 )
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
thf(357,plain,
( ~ ( c1_1 @ a2198 )
| ~ hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(2,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(284,plain,
( ~ hskp29
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(130,negated_conjecture,
( ~ ( c0_1 @ a2176 )
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
thf(325,plain,
( ~ ( c0_1 @ a2176 )
| ~ hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(46,negated_conjecture,
( ~ hskp29
| ( c2_1 @ a2196 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
thf(228,plain,
( ~ hskp29
| ( c2_1 @ a2196 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(64,negated_conjecture,
( ~ hskp17
| ( c2_1 @ a2197 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
thf(289,plain,
( ~ hskp17
| ( c2_1 @ a2197 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(39,negated_conjecture,
( hskp24
| hskp26
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
thf(316,plain,
( hskp24
| hskp26
| hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(92,negated_conjecture,
( ~ ( c0_1 @ a2262 )
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
thf(261,plain,
( ~ ( c0_1 @ a2262 )
| ~ hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(24,negated_conjecture,
( ~ hskp7
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(216,plain,
( ~ hskp7
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(66,negated_conjecture,
( ~ hskp15
| ( c0_1 @ a2194 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
thf(321,plain,
( ~ hskp15
| ( c0_1 @ a2194 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(30,negated_conjecture,
( ~ hskp1
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(376,plain,
( ~ hskp1
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(84,negated_conjecture,
( ~ hskp4
| ( c2_1 @ a2179 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
thf(238,plain,
( ~ hskp4
| ( c2_1 @ a2179 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(182,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ B )
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
thf(348,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ B )
| hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(143,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c3_1 @ A )
| hskp20
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
thf(353,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c3_1 @ A )
| hskp20
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(142,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp15
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
thf(211,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp15
| hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(70,negated_conjecture,
( ~ hskp12
| ( c1_1 @ a2189 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
thf(253,plain,
( ~ hskp12
| ( c1_1 @ a2189 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(83,negated_conjecture,
( ~ hskp4
| ( c0_1 @ a2179 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
thf(397,plain,
( ~ hskp4
| ( c0_1 @ a2179 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(134,negated_conjecture,
( ~ ( c0_1 @ a2174 )
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
thf(280,plain,
( ~ ( c0_1 @ a2174 )
| ~ hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(184,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ B )
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
thf(221,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ B )
| hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(32,negated_conjecture,
( hskp8
| hskp4
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(293,plain,
( hskp8
| hskp4
| hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(122,negated_conjecture,
( ~ ( c3_1 @ a2184 )
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
thf(396,plain,
( ~ ( c3_1 @ a2184 )
| ~ hskp8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(1,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(243,plain,
( ~ hskp30
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(156,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
thf(265,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(113,negated_conjecture,
( ~ ( c1_1 @ a2191 )
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
thf(312,plain,
( ~ ( c1_1 @ a2191 )
| ~ hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(115,negated_conjecture,
( ~ ( c2_1 @ a2189 )
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
thf(206,plain,
( ~ ( c2_1 @ a2189 )
| ~ hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(181,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
thf(307,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(149,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp29
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
thf(292,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp29
| hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(29,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(233,plain,
( ~ hskp2
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(85,negated_conjecture,
( ~ hskp2
| ( c1_1 @ a2176 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
thf(248,plain,
( ~ hskp2
| ( c1_1 @ a2176 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(19,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(380,plain,
( ~ hskp12
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(141,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp28
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
thf(270,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp28
| hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(69,negated_conjecture,
( ~ hskp13
| ( c0_1 @ a2191 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
thf(201,plain,
( ~ hskp13
| ( c0_1 @ a2191 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(107,negated_conjecture,
( ~ ( c1_1 @ a2195 )
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
thf(381,plain,
( ~ ( c1_1 @ a2195 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(14,negated_conjecture,
( ~ hskp17
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(220,plain,
( ~ hskp17
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(114,negated_conjecture,
( ~ ( c3_1 @ a2191 )
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
thf(366,plain,
( ~ ( c3_1 @ a2191 )
| ~ hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(194,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c2_1 @ C )
| ( c2_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
thf(334,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c2_1 @ C )
| ( c2_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(71,negated_conjecture,
( ~ hskp11
| ( c0_1 @ a2187 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
thf(302,plain,
( ~ hskp11
| ( c0_1 @ a2187 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(131,negated_conjecture,
( ~ ( c3_1 @ a2176 )
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
thf(392,plain,
( ~ ( c3_1 @ a2176 )
| ~ hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(22,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(297,plain,
( ~ hskp9
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(96,negated_conjecture,
( ~ ( c1_1 @ a2219 )
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
thf(275,plain,
( ~ ( c1_1 @ a2219 )
| ~ hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(137,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ A )
| hskp9
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
thf(260,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ A )
| hskp9
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(154,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp27
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
thf(349,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp27
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(93,negated_conjecture,
( ~ ( c0_1 @ a2248 )
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
thf(229,plain,
( ~ ( c0_1 @ a2248 )
| ~ hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(160,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c0_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
thf(252,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c0_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(186,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c3_1 @ B )
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
thf(361,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c3_1 @ B )
| hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(167,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
thf(329,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(108,negated_conjecture,
( ~ ( c2_1 @ a2195 )
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
thf(324,plain,
( ~ ( c2_1 @ a2195 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(166,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
thf(285,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(196,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
thf(224,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(98,negated_conjecture,
( ~ ( c2_1 @ a2216 )
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
thf(317,plain,
( ~ ( c2_1 @ a2216 )
| ~ hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(15,negated_conjecture,
( ~ hskp16
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(388,plain,
( ~ hskp16
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(87,negated_conjecture,
( ~ hskp0
| ( c1_1 @ a2174 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
thf(356,plain,
( ~ hskp0
| ( c1_1 @ a2174 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(157,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c2_1 @ B )
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
thf(225,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c2_1 @ B )
| hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(150,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp11
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
thf(339,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp11
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(153,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp11
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
thf(212,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp11
| hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(80,negated_conjecture,
( ~ hskp6
| ( c2_1 @ a2181 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
thf(328,plain,
( ~ hskp6
| ( c2_1 @ a2181 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(33,negated_conjecture,
( hskp5
| hskp2
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(256,plain,
( hskp5
| hskp2
| hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(47,negated_conjecture,
( ~ hskp29
| ( c3_1 @ a2196 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
thf(393,plain,
( ~ hskp29
| ( c3_1 @ a2196 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(58,negated_conjecture,
( ~ hskp24
| ( c3_1 @ a2262 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
thf(371,plain,
( ~ hskp24
| ( c3_1 @ a2262 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(74,negated_conjecture,
( ~ hskp9
| ( c2_1 @ a2185 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
thf(244,plain,
( ~ hskp9
| ( c2_1 @ a2185 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(9,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(266,plain,
( ~ hskp22
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(158,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
thf(360,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(170,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
thf(205,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(172,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
thf(311,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(100,negated_conjecture,
( ~ ( c2_1 @ a2213 )
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
thf(398,plain,
( ~ ( c2_1 @ a2213 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(199,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c3_1 @ C )
| ( c2_1 @ B )
| ( c0_1 @ C )
| ( c2_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
thf(343,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c3_1 @ C )
| ( c2_1 @ B )
| ( c0_1 @ C )
| ( c2_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(121,negated_conjecture,
( ~ ( c1_1 @ a2185 )
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
thf(237,plain,
( ~ ( c1_1 @ a2185 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(44,negated_conjecture,
( ~ hskp30
| ( c3_1 @ a2208 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
thf(298,plain,
( ~ hskp30
| ( c3_1 @ a2208 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(97,negated_conjecture,
( ~ ( c3_1 @ a2219 )
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
thf(264,plain,
( ~ ( c3_1 @ a2219 )
| ~ hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(41,negated_conjecture,
( hskp17
| hskp3
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
thf(279,plain,
( hskp17
| hskp3
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(191,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
thf(296,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(146,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp28
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
thf(375,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp28
| hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(148,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp17
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
thf(286,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp17
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(17,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(291,plain,
( ~ hskp14
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(21,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(259,plain,
( ~ hskp10
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(73,negated_conjecture,
( ~ hskp10
| ( c3_1 @ a2186 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
thf(281,plain,
( ~ hskp10
| ( c3_1 @ a2186 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(88,negated_conjecture,
( ~ hskp0
| ( c2_1 @ a2174 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
thf(204,plain,
( ~ hskp0
| ( c2_1 @ a2174 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(178,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
thf(391,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(4,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(382,plain,
( ~ hskp27
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(81,negated_conjecture,
( ~ hskp5
| ( c0_1 @ a2180 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
thf(313,plain,
( ~ hskp5
| ( c0_1 @ a2180 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(145,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp15
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
thf(335,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp15
| hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(106,negated_conjecture,
( ~ ( c1_1 @ a2197 )
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
thf(236,plain,
( ~ ( c1_1 @ a2197 )
| ~ hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(11,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(350,plain,
( ~ hskp20
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(52,negated_conjecture,
( ~ hskp27
| ( c2_1 @ a2178 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
thf(219,plain,
( ~ hskp27
| ( c2_1 @ a2178 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(193,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ C )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c0_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
thf(274,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ C )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c0_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(51,negated_conjecture,
( ~ hskp27
| ( c0_1 @ a2178 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
thf(377,plain,
( ~ hskp27
| ( c0_1 @ a2178 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(152,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp27
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
thf(230,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp27
| hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(171,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
thf(362,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(89,negated_conjecture,
( ~ ( c0_1 @ a2268 )
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
thf(245,plain,
( ~ ( c0_1 @ a2268 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(103,negated_conjecture,
( ~ ( c3_1 @ a2211 )
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
thf(318,plain,
( ~ ( c3_1 @ a2211 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(12,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(303,plain,
( ~ hskp19
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(109,negated_conjecture,
( ~ ( c3_1 @ a2195 )
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
thf(271,plain,
( ~ ( c3_1 @ a2195 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(120,negated_conjecture,
( ~ ( c0_1 @ a2185 )
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
thf(208,plain,
( ~ ( c0_1 @ a2185 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(136,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ A )
| hskp5
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
thf(387,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ A )
| hskp5
| hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(198,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c2_1 @ C )
| ( c0_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
thf(323,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c2_1 @ C )
| ( c0_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(174,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
thf(213,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(35,negated_conjecture,
( hskp15
| hskp3
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(330,plain,
( hskp15
| hskp3
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(127,negated_conjecture,
( ~ ( c0_1 @ a2177 )
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
thf(345,plain,
( ~ ( c0_1 @ a2177 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(8,negated_conjecture,
( ~ hskp23
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(367,plain,
( ~ hskp23
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(61,negated_conjecture,
( ~ hskp20
| ( c0_1 @ a2213 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
thf(240,plain,
( ~ hskp20
| ( c0_1 @ a2213 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(117,negated_conjecture,
( ~ ( c1_1 @ a2187 )
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
thf(251,plain,
( ~ ( c1_1 @ a2187 )
| ~ hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(90,negated_conjecture,
( ~ ( c2_1 @ a2268 )
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
thf(399,plain,
( ~ ( c2_1 @ a2268 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(129,negated_conjecture,
( ~ ( c3_1 @ a2177 )
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
thf(278,plain,
( ~ ( c3_1 @ a2177 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(125,negated_conjecture,
( ~ ( c1_1 @ a2180 )
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
thf(223,plain,
( ~ ( c1_1 @ a2180 )
| ~ hskp5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(27,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(299,plain,
( ~ hskp4
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(189,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
thf(226,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(188,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
thf(267,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(132,negated_conjecture,
( ~ ( c0_1 @ a2175 )
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
thf(241,plain,
( ~ ( c0_1 @ a2175 )
| ~ hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(163,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
thf(394,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(49,negated_conjecture,
( ~ hskp28
| ( c1_1 @ a2188 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
thf(306,plain,
( ~ hskp28
| ( c1_1 @ a2188 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(168,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
thf(374,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(165,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
thf(255,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(10,negated_conjecture,
( ~ hskp21
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(209,plain,
( ~ hskp21
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(67,negated_conjecture,
( ~ hskp15
| ( c3_1 @ a2194 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
thf(342,plain,
( ~ hskp15
| ( c3_1 @ a2194 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(99,negated_conjecture,
( ~ ( c3_1 @ a2216 )
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
thf(355,plain,
( ~ ( c3_1 @ a2216 )
| ~ hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(176,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
thf(295,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(128,negated_conjecture,
( ~ ( c1_1 @ a2177 )
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
thf(282,plain,
( ~ ( c1_1 @ a2177 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(3,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(327,plain,
( ~ hskp28
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(65,negated_conjecture,
( ~ hskp17
| ( c3_1 @ a2197 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
thf(263,plain,
( ~ hskp17
| ( c3_1 @ a2197 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(187,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
thf(310,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(162,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
thf(331,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(119,negated_conjecture,
( ~ ( c1_1 @ a2186 )
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
thf(370,plain,
( ~ ( c1_1 @ a2186 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(18,negated_conjecture,
( ~ hskp13
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(338,plain,
( ~ hskp13
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
thf(359,plain,
( ~ hskp5
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(48,negated_conjecture,
( ~ hskp28
| ( c0_1 @ a2188 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
thf(336,plain,
( ~ hskp28
| ( c0_1 @ a2188 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(126,negated_conjecture,
( ~ ( c3_1 @ a2179 )
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
thf(386,plain,
( ~ ( c3_1 @ a2179 )
| ~ hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(76,negated_conjecture,
( ~ hskp8
| ( c1_1 @ a2184 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
thf(314,plain,
( ~ hskp8
| ( c1_1 @ a2184 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(139,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c3_1 @ A )
| hskp29
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
thf(363,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c3_1 @ A )
| hskp29
| hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(101,negated_conjecture,
( ~ ( c0_1 @ a2211 )
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
thf(203,plain,
( ~ ( c0_1 @ a2211 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(25,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(218,plain,
( ~ hskp6
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(75,negated_conjecture,
( ~ hskp8
| ( c0_1 @ a2184 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
thf(368,plain,
( ~ hskp8
| ( c0_1 @ a2184 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(60,negated_conjecture,
( ~ hskp21
| ( c0_1 @ a2216 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
thf(250,plain,
( ~ hskp21
| ( c0_1 @ a2216 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(57,negated_conjecture,
( ~ hskp24
| ( c1_1 @ a2262 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
thf(231,plain,
( ~ hskp24
| ( c1_1 @ a2262 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(140,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp30
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
thf(319,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp30
| hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(54,negated_conjecture,
( ~ hskp26
| ( c1_1 @ a2268 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
thf(304,plain,
( ~ hskp26
| ( c1_1 @ a2268 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(38,negated_conjecture,
( hskp21
| hskp25
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
thf(258,plain,
( hskp21
| hskp25
| hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(72,negated_conjecture,
( ~ hskp11
| ( c2_1 @ a2187 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
thf(351,plain,
( ~ hskp11
| ( c2_1 @ a2187 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(62,negated_conjecture,
( ~ hskp20
| ( c1_1 @ a2213 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
thf(390,plain,
( ~ hskp20
| ( c1_1 @ a2213 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(5,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(207,plain,
( ~ hskp26
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(124,negated_conjecture,
( ~ ( c3_1 @ a2181 )
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
thf(272,plain,
( ~ ( c3_1 @ a2181 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(79,negated_conjecture,
( ~ hskp6
| ( c1_1 @ a2181 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
thf(383,plain,
( ~ hskp6
| ( c1_1 @ a2181 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(31,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(346,plain,
( ~ hskp0
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(180,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
thf(290,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(190,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
thf(378,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(179,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
thf(235,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(133,negated_conjecture,
( ~ ( c3_1 @ a2175 )
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
thf(246,plain,
( ~ ( c3_1 @ a2175 )
| ~ hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(185,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c2_1 @ B )
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
thf(214,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c2_1 @ B )
| hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(45,negated_conjecture,
( ~ hskp29
| ( c1_1 @ a2196 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
thf(287,plain,
( ~ hskp29
| ( c1_1 @ a2196 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(59,negated_conjecture,
( ~ hskp22
| ( c2_1 @ a2219 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
thf(300,plain,
( ~ hskp22
| ( c2_1 @ a2219 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(7,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(315,plain,
( ~ hskp24
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(197,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ B )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
thf(262,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ B )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(77,negated_conjecture,
( ~ hskp7
| ( c2_1 @ a2182 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
thf(273,plain,
( ~ hskp7
| ( c2_1 @ a2182 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(36,negated_conjecture,
( hskp13
| hskp0
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(373,plain,
( hskp13
| hskp0
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(144,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c3_1 @ A )
| hskp13
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
thf(305,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c3_1 @ A )
| hskp13
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(56,negated_conjecture,
( ~ hskp25
| ( c3_1 @ a2265 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
thf(210,plain,
( ~ hskp25
| ( c3_1 @ a2265 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(135,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
thf(326,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(34,negated_conjecture,
( hskp5
| hskp19
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(294,plain,
( hskp5
| hskp19
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(50,negated_conjecture,
( ~ hskp28
| ( c2_1 @ a2188 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
thf(341,plain,
( ~ hskp28
| ( c2_1 @ a2188 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(53,negated_conjecture,
( ~ hskp27
| ( c3_1 @ a2178 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
thf(268,plain,
( ~ hskp27
| ( c3_1 @ a2178 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(40,negated_conjecture,
( hskp24
| hskp2
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
thf(358,plain,
( hskp24
| hskp2
| hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(111,negated_conjecture,
( ~ ( c1_1 @ a2193 )
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
thf(400,plain,
( ~ ( c1_1 @ a2193 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(105,negated_conjecture,
( ~ ( c2_1 @ a2198 )
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
thf(283,plain,
( ~ ( c2_1 @ a2198 )
| ~ hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(147,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp13
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
thf(239,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp13
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(116,negated_conjecture,
( ~ ( c3_1 @ a2189 )
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
thf(242,plain,
( ~ ( c3_1 @ a2189 )
| ~ hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(200,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ C )
| ( c3_1 @ B )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
thf(395,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ C )
| ( c3_1 @ B )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(112,negated_conjecture,
( ~ ( c2_1 @ a2193 )
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
thf(332,plain,
( ~ ( c2_1 @ a2193 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(13,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(277,plain,
( ~ hskp18
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(82,negated_conjecture,
( ~ hskp5
| ( c3_1 @ a2180 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
thf(369,plain,
( ~ hskp5
| ( c3_1 @ a2180 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(155,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp13
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
thf(322,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp13
| hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(63,negated_conjecture,
( ~ hskp18
| ( c0_1 @ a2198 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
thf(337,plain,
( ~ hskp18
| ( c0_1 @ a2198 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(43,negated_conjecture,
( ~ hskp30
| ( c1_1 @ a2208 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
thf(354,plain,
( ~ hskp30
| ( c1_1 @ a2208 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(159,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
thf(309,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(42,negated_conjecture,
( ~ hskp30
| ( c0_1 @ a2208 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
thf(215,plain,
( ~ hskp30
| ( c0_1 @ a2208 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(110,negated_conjecture,
( ~ ( c2_1 @ a2194 )
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
thf(222,plain,
( ~ ( c2_1 @ a2194 )
| ~ hskp15 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(23,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(364,plain,
( ~ hskp8
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(78,negated_conjecture,
( ~ hskp7
| ( c3_1 @ a2182 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
thf(232,plain,
( ~ hskp7
| ( c3_1 @ a2182 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(192,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ B )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ C )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
thf(254,plain,
! [C: $i,B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ B )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ C )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(20,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(227,plain,
( ~ hskp11
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(643,plain,
$false,
inference(cvc4,[status(thm)],[365,347,234,352,333,249,308,247,379,269,202,217,276,385,384,340,288,301,320,257,389,372,344,357,284,325,228,289,316,261,216,321,376,238,348,353,211,253,397,280,221,293,396,243,265,312,206,307,292,233,248,380,270,201,381,220,366,334,302,392,297,275,260,349,229,252,361,329,324,285,224,317,388,356,225,339,212,328,256,393,371,244,266,360,205,311,398,343,237,298,264,279,296,375,286,291,259,281,204,391,382,313,335,236,350,219,274,377,230,362,245,318,303,271,208,387,323,213,330,345,367,240,251,399,278,223,299,226,267,241,394,306,374,255,209,342,355,295,282,327,263,310,331,370,338,359,336,386,314,363,203,218,368,250,231,319,304,258,351,390,207,272,383,346,290,378,235,246,214,287,300,315,262,273,373,305,210,326,294,341,268,358,400,283,239,242,395,332,277,369,322,337,354,309,215,222,364,232,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN486-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu May 18 19:46:19 EDT 2023
% 0.14/0.37 % CPUTime :
% 1.01/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.44/1.03 % [INFO] Parsing done (170ms).
% 1.65/1.04 % [INFO] Running in sequential loop mode.
% 1.91/1.26 % [INFO] eprover registered as external prover.
% 1.91/1.26 % [INFO] cvc4 registered as external prover.
% 1.91/1.27 % [INFO] Scanning for conjecture ...
% 2.62/1.44 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.92/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.92/1.54 % [INFO] Problem is propositional (TPTP CNF).
% 2.92/1.55 % [INFO] Type checking passed.
% 2.92/1.56 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 8.54/2.81 % External prover 'cvc4' found a proof!
% 8.54/2.81 % [INFO] Killing All external provers ...
% 8.54/2.81 % Time passed: 2273ms (effective reasoning time: 1764ms)
% 8.54/2.81 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 8.54/2.81 % Axioms used in derivation (0):
% 8.54/2.81 % No. of inferences in proof: 401
% 8.54/2.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2273 ms resp. 1764 ms w/o parsing
% 8.61/2.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.61/2.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------