TSTP Solution File: NUN054+1 by CSE_E---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.6
% Problem : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Tue Jun 18 08:13:34 EDT 2024
% Result : Theorem 17.74s 17.80s
% Output : CNFRefutation 17.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jun 17 16:04:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.54/0.59 start to proof: theBenchmark
% 17.74/17.80 % Version : CSE_E---1.6
% 17.74/17.80 % Problem : theBenchmark.p
% 17.74/17.80 % Proof found
% 17.74/17.80 % SZS status Theorem for theBenchmark.p
% 17.74/17.80 % SZS output start Proof
% 17.74/17.80 [17]P2(x171,x171)
% 17.74/17.80 [47]P4(x471,f1(x471),f2(x471))
% 17.74/17.80 [48]P1(f1(x481))
% 17.74/17.80 [49]P2(f2(x491),x491)
% 17.74/17.80 [50]P1(f8(x501))
% 17.74/17.80 [51]P2(f7(x511),f8(x511))
% 17.74/17.80 [52]P5(x521,f6(x521),f7(x521))
% 17.74/17.80 [53]P1(f6(x531))
% 17.74/17.80 [36]P4(x361,x362,f20(x361,x362))
% 17.74/17.80 [37]P3(f20(x371,x372),f11(x371,x372))
% 17.74/17.80 [38]P4(x381,f9(x381,x382),f10(x381,x382))
% 17.74/17.80 [39]P3(x391,f9(x392,x391))
% 17.74/17.80 [40]P2(f10(x401,x402),f11(x401,x402))
% 17.74/17.80 [41]P5(x411,x412,f5(x411,x412))
% 17.74/17.80 [42]P4(f5(x421,x422),x421,f19(x421,x422))
% 17.74/17.80 [43]P5(x431,f3(x431,x432),f4(x431,x432))
% 17.74/17.80 [44]P3(x441,f3(x442,x441))
% 17.74/17.80 [45]P2(f4(x451,x452),f19(x451,x452))
% 17.74/17.80 [1]P1(x11)+~P2(x11,a12)
% 17.74/17.80 [4]~P1(x41)+P2(x41,a12)
% 17.74/17.80 [54]P3(f14(x541),f15(x541))+P1(f13(x541))
% 17.74/17.80 [55]P2(x551,f15(x551))+P1(f13(x551))
% 17.74/17.80 [56]P3(f14(x561),f15(x561))+P2(x561,f13(x561))
% 17.74/17.80 [57]P2(x571,f15(x571))+P2(x571,f13(x571))
% 17.74/17.80 [18]~P2(x182,x181)+P2(x181,x182)
% 17.74/17.80 [5]P3(x51,x52)+~P2(x52,f16(x51))
% 17.74/17.80 [8]~P3(x82,x81)+P2(x81,f16(x82))
% 17.74/17.80 [9]P4(x91,x92,x93)+~P2(x93,f17(x91,x92))
% 17.74/17.80 [12]~P4(x122,x123,x121)+P2(x121,f17(x122,x123))
% 17.74/17.80 [13]P5(x131,x132,x133)+~P2(x133,f18(x131,x132))
% 17.74/17.80 [16]~P5(x162,x163,x161)+P2(x161,f18(x162,x163))
% 17.74/17.80 [21]~P2(x211,x212)+P1(x211)+~P1(x212)
% 17.74/17.80 [22]~P2(x222,x221)+P1(x221)+~P1(x222)
% 17.74/17.80 [19]~P2(x191,x193)+P2(x191,x192)+~P2(x193,x192)
% 17.74/17.80 [58]~P1(x581)+~P2(x581,x582)+~P3(x583,x582)
% 17.74/17.80 [25]~P3(x254,x253)+P3(x251,x252)+~P2(x252,x253)+~P2(x251,x254)
% 17.74/17.80 [26]~P3(x264,x263)+P3(x261,x262)+~P2(x263,x262)+~P2(x264,x261)
% 17.74/17.80 [46]~P3(x462,x464)+~P3(x461,x463)+P2(x461,x462)+~P2(x463,x464)
% 17.74/17.80 [29]~P4(x296,x295,x294)+P4(x291,x292,x293)+~P2(x293,x294)+~P2(x292,x295)+~P2(x291,x296)
% 17.74/17.80 [30]~P4(x306,x305,x304)+P4(x301,x302,x303)+~P2(x304,x303)+~P2(x305,x302)+~P2(x306,x301)
% 17.74/17.80 [33]~P5(x336,x335,x334)+P5(x331,x332,x333)+~P2(x333,x334)+~P2(x332,x335)+~P2(x331,x336)
% 17.74/17.80 [34]~P5(x346,x345,x344)+P5(x341,x342,x343)+~P2(x344,x343)+~P2(x345,x342)+~P2(x346,x341)
% 17.74/17.80 [59]~P3(x591,x595)+~P4(x593,x596,x594)+~P1(x591)+~P1(x592)+~P2(x594,x595)+~P1(x593)+~P3(x592,x596)
% 17.74/17.80 cnf(60,plain,
% 17.74/17.80 (P1(a12)),
% 17.74/17.80 inference(scs_inference,[],[17,1])).
% 17.74/17.80 cnf(61,plain,
% 17.74/17.80 (P2(x611,x611)),
% 17.74/17.80 inference(rename_variables,[],[17])).
% 17.74/17.80 cnf(63,plain,
% 17.74/17.80 (P3(x631,f16(x631))),
% 17.74/17.80 inference(scs_inference,[],[17,61,1,5])).
% 17.74/17.80 cnf(64,plain,
% 17.74/17.80 (P2(x641,x641)),
% 17.74/17.80 inference(rename_variables,[],[17])).
% 17.74/17.80 cnf(66,plain,
% 17.74/17.80 (P4(x661,x662,f17(x661,x662))),
% 17.74/17.80 inference(scs_inference,[],[17,61,64,1,5,9])).
% 17.74/17.80 cnf(67,plain,
% 17.74/17.80 (P2(x671,x671)),
% 17.74/17.80 inference(rename_variables,[],[17])).
% 17.74/17.80 cnf(69,plain,
% 17.74/17.80 (P5(x691,x692,f18(x691,x692))),
% 17.74/17.80 inference(scs_inference,[],[17,61,64,67,1,5,9,13])).
% 17.74/17.80 cnf(70,plain,
% 17.74/17.80 (P2(x701,x701)),
% 17.74/17.80 inference(rename_variables,[],[17])).
% 17.74/17.80 cnf(72,plain,
% 17.74/17.80 (~P3(x721,f1(x722))),
% 17.74/17.80 inference(scs_inference,[],[17,61,64,67,70,48,1,5,9,13,58])).
% 17.74/17.80 cnf(98,plain,
% 17.74/17.80 (P1(f2(a12))),
% 17.74/17.80 inference(scs_inference,[],[49,1])).
% 17.74/17.80 cnf(99,plain,
% 17.74/17.80 (P2(f2(x991),x991)),
% 17.74/17.80 inference(rename_variables,[],[49])).
% 17.74/17.80 cnf(102,plain,
% 17.74/17.80 (P2(f2(x1021),x1021)),
% 17.74/17.80 inference(rename_variables,[],[49])).
% 17.74/17.80 cnf(105,plain,
% 17.74/17.80 (P2(f2(x1051),x1051)),
% 17.74/17.80 inference(rename_variables,[],[49])).
% 17.74/17.80 cnf(110,plain,
% 17.74/17.80 (~P3(x1101,a12)),
% 17.74/17.80 inference(scs_inference,[],[17,60,49,99,102,105,1,5,9,13,58])).
% 17.74/17.80 cnf(111,plain,
% 17.74/17.80 (P2(x1111,x1111)),
% 17.74/17.80 inference(rename_variables,[],[17])).
% 17.74/17.80 cnf(119,plain,
% 17.74/17.80 (~P4(a12,f11(x1191,x1192),f16(a12))+P3(f4(x1193,x1194),f4(x1193,x1194))+P4(f16(a12),f16(a12),f16(a12))+P5(f16(a12),f16(a12),f16(a12))+~P1(f20(x1191,x1192))),
% 17.74/17.80 inference(scs_inference,[],[17,111,37,63,45,60,49,99,102,105,1,5,9,13,58,25,26,29,33,30,34,59])).
% 17.74/17.80 cnf(120,plain,
% 17.74/17.80 (~P3(x1201,f2(a12))),
% 17.74/17.80 inference(scs_inference,[],[17,98,58])).
% 17.74/17.80 cnf(128,plain,
% 17.74/17.80 (~P3(x1281,f8(x1282))),
% 17.74/17.80 inference(scs_inference,[],[17,50,58])).
% 17.74/17.80 cnf(139,plain,
% 17.74/17.80 (~P3(x1391,f6(x1392))),
% 17.74/17.80 inference(scs_inference,[],[17,53,58])).
% 17.74/17.80 cnf(189,plain,
% 17.74/17.80 (~P4(f8(x1891),f8(x1891),f8(x1891))+P4(f7(x1891),f7(x1891),f7(x1891))),
% 17.74/17.80 inference(scs_inference,[],[40,51,33,29])).
% 17.74/17.80 cnf(1458,plain,
% 17.74/17.80 (P2(f2(x14581),x14581)),
% 17.74/17.80 inference(rename_variables,[],[49])).
% 17.74/17.80 cnf(1462,plain,
% 17.74/17.80 (P2(f2(x14621),x14621)),
% 17.74/17.80 inference(rename_variables,[],[49])).
% 17.74/17.80 cnf(1464,plain,
% 17.74/17.80 (~P4(x14641,x14641,x14641)+P4(f2(x14641),f2(x14641),f2(x14641))),
% 17.74/17.80 inference(scs_inference,[],[49,1458,1462,37,45,17,19,25,29])).
% 17.74/17.80 cnf(1466,plain,
% 17.74/17.80 (~P5(x14661,x14661,x14661)+P5(f2(x14661),f2(x14661),f2(x14661))),
% 17.74/17.80 inference(scs_inference,[],[49,1458,1462,37,45,17,19,25,29,33])).
% 17.74/17.80 cnf(2016,plain,
% 17.74/17.80 (~P4(a12,f16(a12),f16(a12))),
% 17.74/17.80 inference(scs_inference,[],[63,17,60,59])).
% 17.74/17.80 cnf(2017,plain,
% 17.74/17.80 (P2(x20171,x20171)),
% 17.74/17.80 inference(rename_variables,[],[17])).
% 17.74/17.80 cnf(2021,plain,
% 17.74/17.80 (~P5(x20211,x20211,f2(x20212))+P5(x20211,x20211,x20212)),
% 17.74/17.80 inference(scs_inference,[],[63,17,2017,60,49,59,34])).
% 17.74/17.80 cnf(2023,plain,
% 17.74/17.80 (~P4(x20231,x20231,f2(x20232))+P4(x20231,x20231,x20232)),
% 17.74/17.81 inference(scs_inference,[],[63,17,2017,60,49,59,34,30])).
% 17.74/17.81 cnf(2028,plain,
% 17.74/17.81 (P2(f6(x20281),a12)),
% 17.74/17.81 inference(scs_inference,[],[53,4])).
% 17.74/17.81 cnf(2030,plain,
% 17.74/17.81 (P2(f19(x20301,x20302),f4(x20301,x20302))),
% 17.74/17.81 inference(scs_inference,[],[45,53,4,18])).
% 17.74/17.81 cnf(2032,plain,
% 17.74/17.81 (P2(f9(x20321,x20322),f16(x20322))),
% 17.74/17.81 inference(scs_inference,[],[39,45,53,4,18,8])).
% 17.74/17.81 cnf(2034,plain,
% 17.74/17.81 (P2(f20(x20341,x20342),f17(x20341,x20342))),
% 17.74/17.81 inference(scs_inference,[],[36,39,45,53,4,18,8,12])).
% 17.74/17.81 cnf(2036,plain,
% 17.74/17.81 (P2(f5(x20361,x20362),f18(x20361,x20362))),
% 17.74/17.81 inference(scs_inference,[],[36,41,39,45,53,4,18,8,12,16])).
% 17.74/17.81 cnf(2041,plain,
% 17.74/17.81 (P2(x20411,x20411)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2044,plain,
% 17.74/17.81 (P2(x20441,x20441)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2047,plain,
% 17.74/17.81 (P4(f6(x20471),f6(x20471),f17(a12,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2041,2044,110,66,36,41,63,39,45,53,4,18,8,12,16,5,58,26,29])).
% 17.74/17.81 cnf(2049,plain,
% 17.74/17.81 (P2(x20491,x20491)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2051,plain,
% 17.74/17.81 (P5(f6(x20511),f6(x20511),f18(a12,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2041,2044,2049,110,66,69,36,41,63,39,45,53,4,18,8,12,16,5,58,26,29,33])).
% 17.74/17.81 cnf(2072,plain,
% 17.74/17.81 (P2(f1(x20721),a12)),
% 17.74/17.81 inference(scs_inference,[],[48,4])).
% 17.74/17.81 cnf(2074,plain,
% 17.74/17.81 (P2(f17(x20741,x20742),f20(x20741,x20742))),
% 17.74/17.81 inference(scs_inference,[],[2034,48,4,18])).
% 17.74/17.81 cnf(2076,plain,
% 17.74/17.81 (P2(f3(x20761,x20762),f16(x20762))),
% 17.74/17.81 inference(scs_inference,[],[2034,44,48,4,18,8])).
% 17.74/17.81 cnf(2081,plain,
% 17.74/17.81 (P2(x20811,x20811)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2085,plain,
% 17.74/17.81 (P2(x20851,x20851)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2092,plain,
% 17.74/17.81 (P2(x20921,x20921)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2096,plain,
% 17.74/17.81 (P2(x20961,x20961)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2100,plain,
% 17.74/17.81 (P2(x21001,x21001)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2109,plain,
% 17.74/17.81 (~P2(f18(a12,a12),x21091)+P5(f6(x21092),f6(x21092),x21091)),
% 17.74/17.81 inference(scs_inference,[],[17,2081,2085,2092,2096,2100,2034,2036,2032,72,128,2047,2051,2016,38,63,44,48,40,4,18,8,5,58,25,26,29,33,30,1,19,34])).
% 17.74/17.81 cnf(2112,plain,
% 17.74/17.81 (P2(f8(x21121),a12)),
% 17.74/17.81 inference(scs_inference,[],[50,4])).
% 17.74/17.81 cnf(2114,plain,
% 17.74/17.81 (P2(f16(x21141),f3(x21142,x21141))),
% 17.74/17.81 inference(scs_inference,[],[2076,50,4,18])).
% 17.74/17.81 cnf(2116,plain,
% 17.74/17.81 (~P2(f6(x21161),f16(x21162))),
% 17.74/17.81 inference(scs_inference,[],[2076,139,50,4,18,5])).
% 17.74/17.81 cnf(2123,plain,
% 17.74/17.81 (P2(x21231,x21231)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2125,plain,
% 17.74/17.81 (P5(x21251,f16(x21252),f19(x21251,x21252))),
% 17.74/17.81 inference(scs_inference,[],[17,2123,2076,139,43,2032,63,45,50,4,18,5,58,26,34])).
% 17.74/17.81 cnf(2127,plain,
% 17.74/17.81 (P2(x21271,x21271)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2132,plain,
% 17.74/17.81 (~P1(f20(x21321,x21322))+~P4(f6(x21323),f11(x21321,x21322),f11(x21321,x21322))),
% 17.74/17.81 inference(scs_inference,[],[17,2123,2127,2076,139,43,2032,63,45,53,50,37,4,18,5,58,26,34,1,59])).
% 17.74/17.81 cnf(2139,plain,
% 17.74/17.81 (P2(a12,f8(x21391))),
% 17.74/17.81 inference(scs_inference,[],[2112,18])).
% 17.74/17.81 cnf(2144,plain,
% 17.74/17.81 (P2(x21441,x21441)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2147,plain,
% 17.74/17.81 (P2(x21471,x21471)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2148,plain,
% 17.74/17.81 (P3(x21481,f9(x21482,x21481))),
% 17.74/17.81 inference(rename_variables,[],[39])).
% 17.74/17.81 cnf(2151,plain,
% 17.74/17.81 (P2(x21511,x21511)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2152,plain,
% 17.74/17.81 (P3(x21521,f9(x21522,x21521))),
% 17.74/17.81 inference(rename_variables,[],[39])).
% 17.74/17.81 cnf(2156,plain,
% 17.74/17.81 (P2(x21561,x21561)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2158,plain,
% 17.74/17.81 (~P4(a12,f9(x21581,a12),f9(x21581,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2144,2147,2151,2156,120,2112,66,39,2148,2152,60,37,18,5,58,25,26,30,59])).
% 17.74/17.81 cnf(2165,plain,
% 17.74/17.81 (P2(a12,f6(x21651))),
% 17.74/17.81 inference(scs_inference,[],[2028,18])).
% 17.74/17.81 cnf(2191,plain,
% 17.74/17.81 (P2(a12,f1(x21911))),
% 17.74/17.81 inference(scs_inference,[],[2072,18])).
% 17.74/17.81 cnf(2193,plain,
% 17.74/17.81 (~P2(f1(x21931),f3(x21932,x21933))),
% 17.74/17.81 inference(scs_inference,[],[17,2072,72,44,18,25])).
% 17.74/17.81 cnf(2194,plain,
% 17.74/17.81 (~P3(x21941,f1(x21942))),
% 17.74/17.81 inference(rename_variables,[],[72])).
% 17.74/17.81 cnf(2195,plain,
% 17.74/17.81 (P2(x21951,x21951)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2199,plain,
% 17.74/17.81 (P2(x21991,x21991)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2201,plain,
% 17.74/17.81 (~P4(a12,f3(x22011,a12),f3(x22011,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2195,2199,2072,72,2194,44,60,18,25,26,59])).
% 17.74/17.81 cnf(2213,plain,
% 17.74/17.81 (P2(f18(x22131,x22132),f5(x22131,x22132))),
% 17.74/17.81 inference(scs_inference,[],[2036,18])).
% 17.74/17.81 cnf(2216,plain,
% 17.74/17.81 (P2(x22161,x22161)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2217,plain,
% 17.74/17.81 (P3(x22171,f9(x22172,x22171))),
% 17.74/17.81 inference(rename_variables,[],[39])).
% 17.74/17.81 cnf(2220,plain,
% 17.74/17.81 (P2(x22201,x22201)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2225,plain,
% 17.74/17.81 (P2(x22251,x22251)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2227,plain,
% 17.74/17.81 (P5(f8(x22271),f8(x22271),f5(a12,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2216,2220,2225,2139,2036,2072,128,36,41,39,2217,18,25,26,29,34])).
% 17.74/17.81 cnf(2229,plain,
% 17.74/17.81 (P2(x22291,x22291)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2231,plain,
% 17.74/17.81 (P4(x22311,a12,x22311)),
% 17.74/17.81 inference(scs_inference,[],[17,2216,2220,2225,2229,2139,2036,47,2072,128,36,41,39,2217,49,18,25,26,29,34,30])).
% 17.74/17.81 cnf(2233,plain,
% 17.74/17.81 (P2(x22331,x22331)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2236,plain,
% 17.74/17.81 (P4(f2(a12),f2(a12),f2(a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2216,2220,2225,2229,2139,2036,47,2072,128,36,41,39,2217,49,18,25,26,29,34,30,1464])).
% 17.74/17.81 cnf(2238,plain,
% 17.74/17.81 (P2(a12,f17(a12,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2216,2220,2225,2229,2139,2036,47,2072,128,36,41,39,2217,49,18,25,26,29,34,30,1464,12])).
% 17.74/17.81 cnf(2240,plain,
% 17.74/17.81 (~P2(x22401,f7(x22402))+P5(x22402,a12,x22401)),
% 17.74/17.81 inference(scs_inference,[],[17,2216,2220,2225,2229,2233,2139,2165,2036,52,47,2072,128,36,41,39,2217,49,18,25,26,29,34,30,1464,12,33])).
% 17.74/17.81 cnf(2254,plain,
% 17.74/17.81 (P4(f2(a12),f2(a12),a12)),
% 17.74/17.81 inference(scs_inference,[],[2236,2023])).
% 17.74/17.81 cnf(2256,plain,
% 17.74/17.81 (P2(x22561,f17(x22561,a12))),
% 17.74/17.81 inference(scs_inference,[],[2231,2236,2023,12])).
% 17.74/17.81 cnf(2261,plain,
% 17.74/17.81 (P3(x22611,f9(x22612,x22611))),
% 17.74/17.81 inference(rename_variables,[],[39])).
% 17.74/17.81 cnf(2262,plain,
% 17.74/17.81 (~P3(x22621,f6(x22622))),
% 17.74/17.81 inference(rename_variables,[],[139])).
% 17.74/17.81 cnf(2268,plain,
% 17.74/17.81 (P4(f6(x22681),f6(x22681),f6(x22681))),
% 17.74/17.81 inference(scs_inference,[],[17,2231,2236,2238,2028,139,2262,39,2261,2023,12,18,25,26,29])).
% 17.74/17.81 cnf(2269,plain,
% 17.74/17.81 (P4(x22691,a12,x22691)),
% 17.74/17.81 inference(rename_variables,[],[2231])).
% 17.74/17.81 cnf(2271,plain,
% 17.74/17.81 (P4(f1(x22711),f1(x22711),f1(x22711))),
% 17.74/17.81 inference(scs_inference,[],[17,2231,2269,2191,2236,2238,2028,139,2262,39,2261,2023,12,18,25,26,29,30])).
% 17.74/17.81 cnf(2274,plain,
% 17.74/17.81 (P5(x22741,a12,f7(x22741))),
% 17.74/17.81 inference(scs_inference,[],[17,2231,2269,2191,2236,2238,2028,139,2262,39,2261,2023,12,18,25,26,29,30,2240])).
% 17.74/17.81 cnf(2275,plain,
% 17.74/17.81 (P2(x22751,x22751)),
% 17.74/17.81 inference(rename_variables,[],[17])).
% 17.74/17.81 cnf(2277,plain,
% 17.74/17.81 (P2(f7(x22771),f18(x22771,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2231,2269,2191,2236,2238,2028,139,2262,39,2261,2023,12,18,25,26,29,30,2240,16])).
% 17.74/17.81 cnf(2279,plain,
% 17.74/17.81 (P5(f1(x22791),f1(x22791),f18(a12,a12))),
% 17.74/17.81 inference(scs_inference,[],[17,2275,2231,2269,2191,2236,2238,2028,139,2262,69,39,2261,2023,12,18,25,26,29,30,2240,16,34])).
% 17.74/17.81 cnf(2283,plain,
% 17.74/17.81 (P2(f17(x22831,a12),x22831)),
% 17.74/17.81 inference(scs_inference,[],[2256,18])).
% 17.74/17.81 cnf(2287,plain,
% 17.74/17.81 (P2(x22871,x22871)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2292,plain,
% 17.74/17.82 (P5(f1(x22921),f1(x22921),f5(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2287,2268,2213,2279,2256,2201,2165,128,63,18,26,29,34])).
% 17.74/17.82 cnf(2293,plain,
% 17.74/17.82 (P2(x22931,x22931)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2294,plain,
% 17.74/17.82 (P2(x22941,x22941)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2297,plain,
% 17.74/17.82 (P4(f5(a12,x22971),f6(x22972),f19(a12,x22971))),
% 17.74/17.82 inference(scs_inference,[],[17,2287,2294,2293,2268,2213,2279,2256,42,2201,2165,128,63,18,26,29,34,30])).
% 17.74/17.82 cnf(2315,plain,
% 17.74/17.82 (P2(f18(x23151,a12),f7(x23151))),
% 17.74/17.82 inference(scs_inference,[],[2277,18])).
% 17.74/17.82 cnf(2318,plain,
% 17.74/17.82 (~P3(x23181,f1(x23182))),
% 17.74/17.82 inference(rename_variables,[],[72])).
% 17.74/17.82 cnf(2319,plain,
% 17.74/17.82 (P2(x23191,x23191)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2322,plain,
% 17.74/17.82 (P2(x23221,x23221)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2323,plain,
% 17.74/17.82 (P3(x23231,f9(x23232,x23231))),
% 17.74/17.82 inference(rename_variables,[],[39])).
% 17.74/17.82 cnf(2325,plain,
% 17.74/17.82 (P4(f2(a12),f2(a12),f17(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2319,2322,2254,2277,2283,72,2318,39,18,25,26,29])).
% 17.74/17.82 cnf(2326,plain,
% 17.74/17.82 (P2(x23261,x23261)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2327,plain,
% 17.74/17.82 (P2(x23271,x23271)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2335,plain,
% 17.74/17.82 (~P3(a12,f10(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2319,2322,2327,2326,2254,2277,2283,2114,43,38,72,2318,39,2323,60,18,25,26,29,33,59])).
% 17.74/17.82 cnf(2349,plain,
% 17.74/17.82 (P2(f16(x23491),f9(x23492,x23491))),
% 17.74/17.82 inference(scs_inference,[],[2032,18])).
% 17.74/17.82 cnf(2351,plain,
% 17.74/17.82 (~P2(f16(a12),f10(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2335,2032,63,18,26])).
% 17.74/17.82 cnf(2355,plain,
% 17.74/17.82 (P4(f8(x23551),f8(x23551),f8(x23551))),
% 17.74/17.82 inference(scs_inference,[],[17,2335,2112,2032,2231,63,18,26,29])).
% 17.74/17.82 cnf(2358,plain,
% 17.74/17.82 (P4(f7(x23581),f7(x23581),f7(x23581))),
% 17.74/17.82 inference(scs_inference,[],[17,2335,2112,2032,2231,63,18,26,29,189])).
% 17.74/17.82 cnf(2362,plain,
% 17.74/17.82 (P2(x23621,f2(x23621))),
% 17.74/17.82 inference(scs_inference,[],[49,18])).
% 17.74/17.82 cnf(2364,plain,
% 17.74/17.82 (P4(f18(x23641,a12),f18(x23641,a12),f18(x23641,a12))),
% 17.74/17.82 inference(scs_inference,[],[2358,2315,49,18,29])).
% 17.74/17.82 cnf(2367,plain,
% 17.74/17.82 (~P2(a12,f3(x23671,x23672))),
% 17.74/17.82 inference(scs_inference,[],[2358,2193,2315,2072,49,18,29,19])).
% 17.74/17.82 cnf(2370,plain,
% 17.74/17.82 (P2(f8(x23701),f7(x23701))),
% 17.74/17.82 inference(scs_inference,[],[51,18])).
% 17.74/17.82 cnf(2372,plain,
% 17.74/17.82 (P5(f8(x23721),f8(x23721),f18(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2227,2213,51,18,33])).
% 17.74/17.82 cnf(2373,plain,
% 17.74/17.82 (P2(x23731,x23731)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2374,plain,
% 17.74/17.82 (P2(x23741,x23741)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2375,plain,
% 17.74/17.82 (P2(f18(x23751,x23752),f5(x23751,x23752))),
% 17.74/17.82 inference(rename_variables,[],[2213])).
% 17.74/17.82 cnf(2383,plain,
% 17.74/17.82 (~P1(f18(x23831,x23832))+P1(f5(x23831,x23832))),
% 17.74/17.82 inference(scs_inference,[],[17,2374,2373,2227,2213,2375,2158,38,51,18,33,30,22])).
% 17.74/17.82 cnf(2407,plain,
% 17.74/17.82 (P2(f11(x24071,x24072),f10(x24071,x24072))),
% 17.74/17.82 inference(scs_inference,[],[40,18])).
% 17.74/17.82 cnf(2409,plain,
% 17.74/17.82 (P4(f5(x24091,a12),f5(x24091,a12),f5(x24091,a12))),
% 17.74/17.82 inference(scs_inference,[],[2364,2213,40,18,30])).
% 17.74/17.82 cnf(2412,plain,
% 17.74/17.82 (~P3(x24121,f7(x24122))),
% 17.74/17.82 inference(scs_inference,[],[2370,2364,2213,50,40,18,30,58])).
% 17.74/17.82 cnf(2413,plain,
% 17.74/17.82 (P2(f8(x24131),f7(x24131))),
% 17.74/17.82 inference(rename_variables,[],[2370])).
% 17.74/17.82 cnf(2416,plain,
% 17.74/17.82 (P2(x24161,x24161)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2418,plain,
% 17.74/17.82 (P5(f7(x24181),f7(x24181),f18(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2416,2370,2413,2372,2364,2213,63,50,40,18,30,58,26,34])).
% 17.74/17.82 cnf(2422,plain,
% 17.74/17.82 (~P2(f7(x24221),f16(x24222))),
% 17.74/17.82 inference(scs_inference,[],[17,2416,2370,2413,2372,2364,2213,63,50,40,18,30,58,26,34,5])).
% 17.74/17.82 cnf(2425,plain,
% 17.74/17.82 (~P3(x24251,f7(x24252))),
% 17.74/17.82 inference(rename_variables,[],[2412])).
% 17.74/17.82 cnf(2426,plain,
% 17.74/17.82 (P2(x24261,x24261)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2429,plain,
% 17.74/17.82 (P2(x24291,x24291)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2432,plain,
% 17.74/17.82 (P5(f18(x24321,a12),f18(x24321,a12),f18(a12,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2426,2429,2412,2425,2418,2315,44,25,26,33])).
% 17.74/17.82 cnf(2448,plain,
% 17.74/17.82 (~P2(f18(x24481,a12),f16(x24482))),
% 17.74/17.82 inference(scs_inference,[],[17,2422,2432,2412,2036,2277,39,26,33,19])).
% 17.74/17.82 cnf(2454,plain,
% 17.74/17.82 (P5(x24541,a12,f8(x24541))),
% 17.74/17.82 inference(scs_inference,[],[2370,2240])).
% 17.74/17.82 cnf(2456,plain,
% 17.74/17.82 (P2(f8(x24561),f18(x24561,a12))),
% 17.74/17.82 inference(scs_inference,[],[2370,2240,16])).
% 17.74/17.82 cnf(2458,plain,
% 17.74/17.82 (P2(f18(x24581,a12),f8(x24581))),
% 17.74/17.82 inference(scs_inference,[],[2370,2240,16,18])).
% 17.74/17.82 cnf(2472,plain,
% 17.74/17.82 (P4(f2(a12),a12,a12)),
% 17.74/17.82 inference(scs_inference,[],[17,2325,2256,2362,29])).
% 17.74/17.82 cnf(2474,plain,
% 17.74/17.82 (P2(x24741,x24741)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2477,plain,
% 17.74/17.82 (~P3(x24771,f18(x24772,a12))),
% 17.74/17.82 inference(scs_inference,[],[17,2456,2325,2256,2362,50,29,58])).
% 17.74/17.82 cnf(2482,plain,
% 17.74/17.82 (P2(x24821,x24821)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2486,plain,
% 17.74/17.82 (P2(x24861,x24861)),
% 17.74/17.82 inference(rename_variables,[],[17])).
% 17.74/17.82 cnf(2493,plain,
% 17.74/17.82 (P2(f20(x24931,x24932),x24933)+~P3(x24933,f10(x24931,x24932))),
% 17.82/17.82 inference(scs_inference,[],[17,2474,2482,2486,2456,2458,2325,2418,2256,2362,2407,2412,39,50,37,29,58,25,26,34,46])).
% 17.82/17.82 cnf(2498,plain,
% 17.82/17.82 (P2(x24981,x24981)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2500,plain,
% 17.82/17.82 (P5(f8(x25001),f8(x25001),f8(a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2498,2477,2372,2456,63,26,33])).
% 17.82/17.82 cnf(2501,plain,
% 17.82/17.82 (P2(x25011,x25011)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2502,plain,
% 17.82/17.82 (P2(x25021,x25021)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2505,plain,
% 17.82/17.82 (P4(f18(a12,x25051),f6(x25052),f19(a12,x25051))),
% 17.82/17.82 inference(scs_inference,[],[17,2498,2502,2501,2477,2297,2372,2456,2213,63,26,33,29])).
% 17.82/17.82 cnf(2535,plain,
% 17.82/17.82 (P1(f18(x25351,a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2458,2456,2477,39,50,26,2109,22])).
% 17.82/17.82 cnf(2540,plain,
% 17.82/17.82 (P5(a12,a12,a12)),
% 17.82/17.82 inference(scs_inference,[],[17,2500,2458,2074,2456,2477,2139,39,50,26,2109,22,21,33])).
% 17.82/17.82 cnf(2541,plain,
% 17.82/17.82 (P2(a12,f8(x25411))),
% 17.82/17.82 inference(rename_variables,[],[2139])).
% 17.82/17.82 cnf(2544,plain,
% 17.82/17.82 (P5(f8(x25441),f8(x25441),f7(a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2500,2274,2458,2074,2456,2477,2139,2541,39,50,26,2109,22,21,33,34])).
% 17.82/17.82 cnf(2548,plain,
% 17.82/17.82 (P1(f5(x25481,a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2500,2274,2458,2074,2456,2477,2139,2541,39,50,26,2109,22,21,33,34,2383])).
% 17.82/17.82 cnf(2550,plain,
% 17.82/17.82 (P5(f2(a12),f2(a12),f2(a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2500,2274,2458,2074,2456,2477,2139,2541,39,50,26,2109,22,21,33,34,2383,1466])).
% 17.82/17.82 cnf(2552,plain,
% 17.82/17.82 (P2(f18(x25521,a12),a12)),
% 17.82/17.82 inference(scs_inference,[],[17,2500,2274,2458,2074,2456,2477,2139,2541,39,50,26,2109,22,21,33,34,2383,1466,4])).
% 17.82/17.82 cnf(2566,plain,
% 17.82/17.82 (P5(f2(a12),f2(a12),a12)),
% 17.82/17.82 inference(scs_inference,[],[2550,2021])).
% 17.82/17.82 cnf(2568,plain,
% 17.82/17.82 (P2(f5(x25681,a12),a12)),
% 17.82/17.82 inference(scs_inference,[],[2550,2548,2021,4])).
% 17.82/17.82 cnf(2570,plain,
% 17.82/17.82 (P2(a12,f18(x25701,a12))),
% 17.82/17.82 inference(scs_inference,[],[2550,2548,2552,2021,4,18])).
% 17.82/17.82 cnf(2588,plain,
% 17.82/17.82 (P2(a12,f5(x25881,a12))),
% 17.82/17.82 inference(scs_inference,[],[2568,18])).
% 17.82/17.82 cnf(2591,plain,
% 17.82/17.82 (P2(x25911,x25911)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2592,plain,
% 17.82/17.82 (P3(x25921,f9(x25922,x25921))),
% 17.82/17.82 inference(rename_variables,[],[39])).
% 17.82/17.82 cnf(2595,plain,
% 17.82/17.82 (P2(x25951,x25951)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2598,plain,
% 17.82/17.82 (P5(f1(x25981),f1(x25981),a12)),
% 17.82/17.82 inference(scs_inference,[],[17,2591,2595,2292,2568,2335,39,2592,18,25,26,34])).
% 17.82/17.82 cnf(2603,plain,
% 17.82/17.82 (~P2(f18(x26031,a12),f9(x26032,x26033))),
% 17.82/17.82 inference(scs_inference,[],[17,2477,39,25])).
% 17.82/17.82 cnf(2617,plain,
% 17.82/17.82 (~P3(x26171,f6(x26172))),
% 17.82/17.82 inference(rename_variables,[],[139])).
% 17.82/17.82 cnf(2618,plain,
% 17.82/17.82 (P2(x26181,x26181)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2622,plain,
% 17.82/17.82 (P2(x26221,x26221)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2624,plain,
% 17.82/17.82 (P5(f2(a12),f2(a12),f18(x26241,a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2618,2622,2566,2552,139,2617,44,25,26,33])).
% 17.82/17.82 cnf(2625,plain,
% 17.82/17.82 (P2(x26251,x26251)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2626,plain,
% 17.82/17.82 (P2(x26261,x26261)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2629,plain,
% 17.82/17.82 (P2(f18(x26291,a12),a12)),
% 17.82/17.82 inference(rename_variables,[],[2552])).
% 17.82/17.82 cnf(2631,plain,
% 17.82/17.82 (P1(f7(x26311))),
% 17.82/17.82 inference(scs_inference,[],[17,2618,2622,2566,2552,2370,139,2617,44,50,25,26,33,2109,22])).
% 17.82/17.82 cnf(2641,plain,
% 17.82/17.82 (P2(f7(x26411),a12)),
% 17.82/17.82 inference(scs_inference,[],[17,2618,2622,2626,2625,2566,2588,2540,47,2552,2629,2370,139,2617,44,50,25,26,33,2109,22,29,34,4])).
% 17.82/17.82 cnf(2643,plain,
% 17.82/17.82 (P2(a12,f7(x26431))),
% 17.82/17.82 inference(scs_inference,[],[17,2618,2622,2626,2625,2566,2588,2540,47,2552,2629,2370,139,2617,44,50,25,26,33,2109,22,29,34,4,18])).
% 17.82/17.82 cnf(2647,plain,
% 17.82/17.82 (P5(x26471,a12,a12)),
% 17.82/17.82 inference(scs_inference,[],[2643,2240])).
% 17.82/17.82 cnf(2652,plain,
% 17.82/17.82 (~P3(x26521,f5(x26522,a12))),
% 17.82/17.82 inference(scs_inference,[],[2643,2409,2588,2201,60,2240,29,58])).
% 17.82/17.82 cnf(2656,plain,
% 17.82/17.82 (P2(x26561,x26561)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2658,plain,
% 17.82/17.82 (P5(f18(x26581,a12),f18(x26581,a12),f8(a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2656,2643,2570,2454,2409,2588,110,2201,39,60,2240,29,58,25,34])).
% 17.82/17.82 cnf(2675,plain,
% 17.82/17.82 (P5(a12,a12,f18(x26751,a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2624,2652,2362,44,26,33])).
% 17.82/17.82 cnf(2677,plain,
% 17.82/17.82 (P2(x26771,x26771)),
% 17.82/17.82 inference(rename_variables,[],[17])).
% 17.82/17.82 cnf(2679,plain,
% 17.82/17.82 (P2(f18(x26791,a12),f18(a12,a12))),
% 17.82/17.82 inference(scs_inference,[],[17,2624,2652,2362,44,26,33,16])).
% 17.82/17.82 cnf(2681,plain,
% 17.82/17.82 (P2(f18(a12,a12),f18(x26811,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2624,2652,2362,44,26,33,16,18])).
% 17.82/17.83 cnf(2685,plain,
% 17.82/17.83 (P5(f8(x26851),f8(x26851),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,2677,2544,2624,2367,2652,2641,2362,2588,44,26,33,16,18,19,34])).
% 17.82/17.83 cnf(2694,plain,
% 17.82/17.83 (~P1(f17(x26941,x26942))+~P3(x26943,f20(x26941,x26942))),
% 17.82/17.83 inference(scs_inference,[],[2074,58])).
% 17.82/17.83 cnf(2696,plain,
% 17.82/17.83 (P5(f7(x26961),f7(x26961),f18(x26962,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2675,2643,2074,58,34])).
% 17.82/17.83 cnf(2699,plain,
% 17.82/17.83 (~P1(f17(x26991,x26992))+~P2(f20(x26991,x26992),f16(x26993))),
% 17.82/17.83 inference(scs_inference,[],[17,2675,2643,2074,58,34,5])).
% 17.82/17.83 cnf(2702,plain,
% 17.82/17.83 (P5(f1(x27021),f1(x27021),f7(x27022))),
% 17.82/17.83 inference(scs_inference,[],[17,2598,2641,33])).
% 17.82/17.83 cnf(2718,plain,
% 17.82/17.83 (P2(x27181,x27181)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2724,plain,
% 17.82/17.83 (P2(f7(x27241),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2718,2702,2652,2191,37,25,33,16])).
% 17.82/17.83 cnf(2726,plain,
% 17.82/17.83 (P2(f18(a12,a12),f7(x27261))),
% 17.82/17.83 inference(scs_inference,[],[17,2718,2702,2652,2191,37,25,33,16,18])).
% 17.82/17.83 cnf(2752,plain,
% 17.82/17.83 (P4(f2(a12),f5(x27521,a12),f5(x27521,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2472,2568,29])).
% 17.82/17.83 cnf(2786,plain,
% 17.82/17.83 (P5(f2(a12),a12,f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2566,2283,2362,33])).
% 17.82/17.83 cnf(2788,plain,
% 17.82/17.83 (P2(x27881,x27881)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2791,plain,
% 17.82/17.83 (P5(f8(x27911),f8(x27911),f7(x27912))),
% 17.82/17.83 inference(scs_inference,[],[17,2788,2685,2566,2283,2643,2362,33,34])).
% 17.82/17.83 cnf(2792,plain,
% 17.82/17.83 (P2(x27921,x27921)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2793,plain,
% 17.82/17.83 (P2(x27931,x27931)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2795,plain,
% 17.82/17.83 (P4(f7(x27951),f6(x27952),f19(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2788,2793,2792,2685,2566,2726,2505,2283,2643,2362,33,34,30])).
% 17.82/17.83 cnf(2808,plain,
% 17.82/17.83 (P4(a12,f5(x28081,a12),f5(x28081,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2752,2362,29])).
% 17.82/17.83 cnf(2810,plain,
% 17.82/17.83 (P2(x28101,x28101)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2811,plain,
% 17.82/17.83 (P2(x28111,x28111)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2813,plain,
% 17.82/17.83 (P5(f7(x28131),f16(x28132),f19(a12,x28132))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2810,2752,2125,2641,2362,29,33])).
% 17.82/17.83 cnf(2815,plain,
% 17.82/17.83 (P2(x28151,x28151)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2816,plain,
% 17.82/17.83 (P2(x28161,x28161)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2818,plain,
% 17.82/17.83 (P5(a12,a12,f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2810,2816,2786,2752,2125,2641,2362,49,29,33,34])).
% 17.82/17.83 cnf(2820,plain,
% 17.82/17.83 (P2(x28201,x28201)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2823,plain,
% 17.82/17.83 (P2(f17(a12,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2810,2816,2786,2752,2125,2641,2362,49,29,33,34,16])).
% 17.82/17.83 cnf(2825,plain,
% 17.82/17.83 (P2(f18(a12,a12),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2810,2816,2786,2752,2125,2641,2362,49,29,33,34,16,18])).
% 17.82/17.83 cnf(2827,plain,
% 17.82/17.83 (P1(f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2810,2816,2786,2752,2125,2535,2641,2362,49,29,33,34,16,18,22])).
% 17.82/17.83 cnf(2830,plain,
% 17.82/17.83 (P1(f20(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2810,2816,2786,2752,2125,2535,2641,2034,2362,49,29,33,34,16,18,22,21])).
% 17.82/17.83 cnf(2831,plain,
% 17.82/17.83 (P2(f20(x28311,x28312),f17(x28311,x28312))),
% 17.82/17.83 inference(rename_variables,[],[2034])).
% 17.82/17.83 cnf(2836,plain,
% 17.82/17.83 (~P3(x28361,f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2810,2816,2448,2786,2752,2125,2535,2641,2034,2831,2362,49,29,33,34,16,18,22,21,19,58])).
% 17.82/17.83 cnf(2839,plain,
% 17.82/17.83 (~P4(f7(x28391),f11(a12,a12),f11(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2811,2815,2820,2810,2816,2448,2786,2752,2125,2631,2535,2641,2034,2831,2362,49,37,29,33,34,16,18,22,21,19,58,119,59])).
% 17.82/17.83 cnf(2843,plain,
% 17.82/17.83 (~P3(x28431,f20(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[2827,2694])).
% 17.82/17.83 cnf(2849,plain,
% 17.82/17.83 (P2(f20(a12,a12),a12)),
% 17.82/17.83 inference(scs_inference,[],[2825,2827,2830,2694,2699,2109,4])).
% 17.82/17.83 cnf(2851,plain,
% 17.82/17.83 (P2(a12,f20(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[2825,2827,2830,2694,2699,2109,4,18])).
% 17.82/17.83 cnf(2859,plain,
% 17.82/17.83 (P2(x28591,x28591)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2861,plain,
% 17.82/17.83 (P4(f17(a12,a12),f5(x28611,a12),f5(x28611,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2859,2836,2825,2827,2830,2808,2407,2283,63,37,2694,2699,2109,4,18,46,26,29])).
% 17.82/17.83 cnf(2862,plain,
% 17.82/17.83 (P2(x28621,x28621)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2869,plain,
% 17.82/17.83 (~P4(f6(x28691),f11(a12,a12),f11(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2859,2836,2825,2827,2830,2839,2808,2355,2407,2370,2283,63,37,2694,2699,2109,4,18,46,26,29,30,2132])).
% 17.82/17.83 cnf(2871,plain,
% 17.82/17.83 (P5(f7(x28711),f7(x28711),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2859,2862,2823,2836,2825,2827,2830,2839,2696,2808,2355,2407,2370,2283,63,37,2694,2699,2109,4,18,46,26,29,30,2132,33])).
% 17.82/17.83 cnf(2892,plain,
% 17.82/17.83 (P5(f1(x28921),f1(x28921),f20(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2843,2869,2851,2598,2808,2028,63,26,29,34])).
% 17.82/17.83 cnf(2900,plain,
% 17.82/17.83 (P4(f17(a12,a12),f17(a12,a12),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[2849,2836,2825,2364,39,25,30])).
% 17.82/17.83 cnf(2912,plain,
% 17.82/17.83 (~P3(f3(x29121,x29122),f10(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2843,44,25,2493])).
% 17.82/17.83 cnf(2922,plain,
% 17.82/17.83 (~P2(f20(a12,a12),f11(x29221,x29222))),
% 17.82/17.83 inference(scs_inference,[],[17,2843,37,25])).
% 17.82/17.83 cnf(2923,plain,
% 17.82/17.83 (P2(x29231,x29231)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2926,plain,
% 17.82/17.83 (P5(f18(x29261,a12),f18(x29261,a12),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2923,2818,2843,2570,37,25,34])).
% 17.82/17.83 cnf(2941,plain,
% 17.82/17.83 (~P3(x29411,f17(a12,a12))),
% 17.82/17.83 inference(rename_variables,[],[2836])).
% 17.82/17.83 cnf(2947,plain,
% 17.82/17.83 (P4(f18(a12,a12),f5(x29471,a12),f5(x29471,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2861,2836,2941,2823,2851,2283,39,25,26,30])).
% 17.82/17.83 cnf(2948,plain,
% 17.82/17.83 (P2(x29481,x29481)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2949,plain,
% 17.82/17.83 (P2(x29491,x29491)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2951,plain,
% 17.82/17.83 (P4(f20(a12,a12),f20(a12,a12),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2949,2861,2836,2941,2823,2851,2849,2283,66,39,25,26,30,29])).
% 17.82/17.83 cnf(2953,plain,
% 17.82/17.83 (P2(x29531,x29531)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2955,plain,
% 17.82/17.83 (P5(x29551,f6(x29551),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2949,2953,2948,2861,52,2836,2941,2823,2851,2849,2726,2283,66,39,25,26,30,29,33])).
% 17.82/17.83 cnf(2957,plain,
% 17.82/17.83 (P2(x29571,x29571)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2958,plain,
% 17.82/17.83 (P2(x29581,x29581)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2960,plain,
% 17.82/17.83 (P5(f7(x29601),f9(x29602,x29603),f19(a12,x29603))),
% 17.82/17.83 inference(scs_inference,[],[17,2949,2953,2957,2948,2958,2813,2861,2349,52,2836,2941,2823,2851,2849,2726,2283,66,39,25,26,30,29,33,34])).
% 17.82/17.83 cnf(2967,plain,
% 17.82/17.83 (P2(x29671,x29671)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2969,plain,
% 17.82/17.83 (P4(f20(a12,a12),f20(a12,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2967,2951,2825,2335,44,25,29])).
% 17.82/17.83 cnf(2982,plain,
% 17.82/17.83 (P2(x29821,x29821)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(2984,plain,
% 17.82/17.83 (P4(f18(x29841,a12),f5(x29842,a12),f5(x29842,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2982,2947,2681,2869,2268,29,30])).
% 17.82/17.83 cnf(2988,plain,
% 17.82/17.83 (~P3(f11(x29881,x29882),f10(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2982,2922,2947,2681,2869,2268,29,30,2493])).
% 17.82/17.83 cnf(2990,plain,
% 17.82/17.83 (~P2(a12,f11(x29901,x29902))),
% 17.82/17.83 inference(scs_inference,[],[17,2982,2922,2947,2681,2869,2268,2849,29,30,2493,19])).
% 17.82/17.83 cnf(2999,plain,
% 17.82/17.83 (P4(f2(a12),f2(a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2325,2823,30])).
% 17.82/17.83 cnf(3000,plain,
% 17.82/17.83 (P2(x30001,x30001)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3001,plain,
% 17.82/17.83 (P2(x30011,x30011)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3005,plain,
% 17.82/17.83 (P2(x30051,x30051)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3007,plain,
% 17.82/17.83 (P5(f20(a12,a12),f6(a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3001,3005,3000,2955,2926,2325,2823,2849,2213,30,34,33])).
% 17.82/17.83 cnf(3016,plain,
% 17.82/17.83 (P5(f7(x30161),f7(x30161),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,2871,2988,2256,37,40,25,33])).
% 17.82/17.83 cnf(3017,plain,
% 17.82/17.83 (P2(x30171,x30171)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3018,plain,
% 17.82/17.83 (P2(x30181,x30181)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3021,plain,
% 17.82/17.83 (P5(f2(a12),f8(x30211),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3018,3017,2871,2988,2786,2139,2256,37,40,25,33,34])).
% 17.82/17.83 cnf(3027,plain,
% 17.82/17.83 (P4(a12,f17(a12,a12),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,2990,2900,2165,2256,19,29])).
% 17.82/17.83 cnf(3038,plain,
% 17.82/17.83 (P2(x30381,x30381)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3044,plain,
% 17.82/17.83 (P2(f20(a12,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3038,2892,3027,2191,2825,29,33,16])).
% 17.82/17.83 cnf(3046,plain,
% 17.82/17.83 (P2(f18(a12,a12),f20(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3038,2892,3027,2191,2825,29,33,16,18])).
% 17.82/17.83 cnf(3068,plain,
% 17.82/17.83 (P4(f2(a12),f2(a12),f18(x30681,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2999,2679,29])).
% 17.82/17.83 cnf(3069,plain,
% 17.82/17.83 (P2(x30691,x30691)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3070,plain,
% 17.82/17.83 (P2(x30701,x30701)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3072,plain,
% 17.82/17.83 (~P2(f20(a12,a12),f9(x30721,x30722))),
% 17.82/17.83 inference(scs_inference,[],[17,2603,2999,2679,3046,29,19])).
% 17.82/17.83 cnf(3075,plain,
% 17.82/17.83 (P5(f20(a12,a12),f6(a12),f18(x30751,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3070,3069,3007,2603,2999,2679,3046,29,19,33])).
% 17.82/17.83 cnf(3076,plain,
% 17.82/17.83 (P2(x30761,x30761)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3077,plain,
% 17.82/17.83 (P2(x30771,x30771)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3081,plain,
% 17.82/17.83 (P2(x30811,x30811)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3083,plain,
% 17.82/17.83 (P4(f2(a12),a12,f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3070,3076,3081,3069,3077,3007,2603,2999,2679,2658,3046,49,29,19,33,34,30])).
% 17.82/17.83 cnf(3094,plain,
% 17.82/17.83 (P2(x30941,x30941)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3095,plain,
% 17.82/17.83 (P2(x30951,x30951)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3099,plain,
% 17.82/17.83 (P2(x30991,x30991)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3100,plain,
% 17.82/17.83 (P2(x31001,x31001)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3102,plain,
% 17.82/17.83 (P5(f7(x31021),f9(x31022,x31023),f4(a12,x31023))),
% 17.82/17.83 inference(scs_inference,[],[17,3095,3099,3094,3100,3072,2960,2795,2984,2277,2456,2030,2493,29,30,34])).
% 17.82/17.83 cnf(3131,plain,
% 17.82/17.83 (P2(x31311,x31311)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3132,plain,
% 17.82/17.83 (P2(x31321,x31321)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3134,plain,
% 17.82/17.83 (P5(f7(x31341),f16(x31342),f4(a12,x31342))),
% 17.82/17.83 inference(scs_inference,[],[17,3132,3131,2791,3102,2315,2032,33,34])).
% 17.82/17.83 cnf(3140,plain,
% 17.82/17.83 (P2(x31401,x31401)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3141,plain,
% 17.82/17.83 (P2(x31411,x31411)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3144,plain,
% 17.82/17.83 (P4(f18(x31441,a12),f18(x31441,a12),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3141,3068,3044,2570,66,29,30])).
% 17.82/17.83 cnf(3146,plain,
% 17.82/17.83 (P2(x31461,x31461)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3150,plain,
% 17.82/17.83 (P5(f2(a12),f8(x31501),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,3141,3146,3140,2116,3021,3068,3044,2570,2036,2283,66,29,30,46,34])).
% 17.82/17.83 cnf(3157,plain,
% 17.82/17.83 (P2(x31571,x31571)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3160,plain,
% 17.82/17.83 (P2(x31601,x31601)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3162,plain,
% 17.82/17.83 (P5(f18(a12,a12),f18(a12,a12),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,3157,3160,3144,3016,3083,2724,2681,2726,2643,29,30,33])).
% 17.82/17.83 cnf(3177,plain,
% 17.82/17.83 (P5(f18(a12,a12),f18(a12,a12),f8(x31771))),
% 17.82/17.83 inference(scs_inference,[],[17,3162,2139,34])).
% 17.82/17.83 cnf(3179,plain,
% 17.82/17.83 (P2(x31791,x31791)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3185,plain,
% 17.82/17.83 (P5(f20(a12,a12),f20(a12,a12),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,3179,2912,3162,3044,2139,37,40,34,25,33])).
% 17.82/17.83 cnf(3189,plain,
% 17.82/17.83 (P2(x31891,x31891)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3190,plain,
% 17.82/17.83 (P2(x31901,x31901)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3192,plain,
% 17.82/17.83 (P5(f7(x31921),f3(x31922,x31923),f4(a12,x31923))),
% 17.82/17.83 inference(scs_inference,[],[17,3190,3189,3134,3185,2114,2112,33,34])).
% 17.82/17.83 cnf(3198,plain,
% 17.82/17.83 (P5(f18(a12,a12),f18(a12,a12),f7(x31981))),
% 17.82/17.83 inference(scs_inference,[],[17,3177,2370,34])).
% 17.82/17.83 cnf(3203,plain,
% 17.82/17.83 (P4(a12,a12,f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,2969,2851,29])).
% 17.82/17.83 cnf(3216,plain,
% 17.82/17.83 (P2(x32161,x32161)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3218,plain,
% 17.82/17.83 (P4(f18(x32181,a12),f18(x32181,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3216,3203,2072,2570,29,30])).
% 17.82/17.83 cnf(3223,plain,
% 17.82/17.83 (~P2(f11(a12,a12),f8(x32231))),
% 17.82/17.83 inference(scs_inference,[],[2355,2839,51,29])).
% 17.82/17.83 cnf(3225,plain,
% 17.82/17.83 (~P4(f7(x32251),f11(a12,a12),f11(a12,a12))),
% 17.82/17.83 inference(rename_variables,[],[2839])).
% 17.82/17.83 cnf(3227,plain,
% 17.82/17.83 (P5(f18(x32271,a12),f18(x32271,a12),f7(x32272))),
% 17.82/17.83 inference(scs_inference,[],[17,3198,2355,2681,2839,51,29,34])).
% 17.82/17.83 cnf(3230,plain,
% 17.82/17.83 (~P2(f18(x32301,a12),f11(a12,a12))+~P2(f18(a12,a12),f11(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3198,3218,2355,2681,2839,3225,2315,51,29,34,30])).
% 17.82/17.83 cnf(3237,plain,
% 17.82/17.83 (~P2(f18(a12,a12),f11(a12,a12))),
% 17.82/17.83 inference(factoring_inference,[],[3230])).
% 17.82/17.83 cnf(3238,plain,
% 17.82/17.83 (~P2(f18(x32381,a12),f11(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[3237,2681,19])).
% 17.82/17.83 cnf(3240,plain,
% 17.82/17.83 (~P4(f18(x32401,a12),f11(a12,a12),f11(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[17,3237,2535,2681,2830,37,19,59])).
% 17.82/17.83 cnf(3242,plain,
% 17.82/17.83 (P2(x32421,x32421)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3246,plain,
% 17.82/17.83 (P2(x32461,x32461)),
% 17.82/17.83 inference(rename_variables,[],[17])).
% 17.82/17.83 cnf(3248,plain,
% 17.82/17.83 (P5(f2(a12),f18(x32481,a12),f6(x32482))),
% 17.82/17.83 inference(scs_inference,[],[17,3242,3246,3237,3075,3150,2724,2535,3046,2681,2165,2456,2830,37,19,59,33,34])).
% 17.82/17.83 cnf(3252,plain,
% 17.82/17.83 (P5(f2(a12),f18(a12,a12),a12)),
% 17.82/17.83 inference(scs_inference,[],[17,3248,2679,2028,34])).
% 17.82/17.83 cnf(3277,plain,
% 17.82/17.83 (P4(x32771,x32772,f20(x32771,x32772))),
% 17.82/17.83 inference(rename_variables,[],[36])).
% 17.82/17.83 cnf(3279,plain,
% 17.82/17.83 (P4(f6(x32791),f6(x32791),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[36,3277,3238,3044,2568,2165,3046,2825,19,29,30])).
% 17.82/17.83 cnf(3285,plain,
% 17.82/17.83 (P5(a12,f7(x32851),f20(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[36,3277,3227,3238,3252,2724,3044,2849,2568,2165,3046,2825,2362,19,29,30,34,33])).
% 17.82/17.83 cnf(3299,plain,
% 17.82/17.83 (P5(a12,f7(x32991),f20(a12,a12))),
% 17.82/17.83 inference(rename_variables,[],[3285])).
% 17.82/17.83 cnf(3301,plain,
% 17.82/17.83 (P5(f1(x33011),f18(x33012,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[2351,3240,3285,3299,2271,2114,2277,2726,2191,2552,3044,2851,19,29,33,34])).
% 17.82/17.83 cnf(3314,plain,
% 17.82/17.83 (P5(a12,f18(a12,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[3223,3301,2679,2072,2407,19,34])).
% 17.82/17.83 cnf(3319,plain,
% 17.82/17.83 (~P2(f7(x33191),f11(x33192,x33193))),
% 17.82/17.83 inference(scs_inference,[],[2990,2643,19])).
% 17.82/17.83 cnf(3339,plain,
% 17.82/17.83 (~P2(f18(x33391,a12),f11(x33392,x33393))),
% 17.82/17.83 inference(scs_inference,[],[3319,2277,19])).
% 17.82/17.83 cnf(3347,plain,
% 17.82/17.83 (P5(f17(a12,a12),f8(a12),f8(a12))),
% 17.82/17.83 inference(scs_inference,[],[3319,3192,3314,2114,2277,2458,2315,2256,2030,19,33,34])).
% 17.82/17.83 cnf(3354,plain,
% 17.82/17.83 (P4(f18(x33541,a12),f18(x33541,a12),a12)),
% 17.82/17.83 inference(scs_inference,[],[36,3339,2849,2458,2570,19,30])).
% 17.82/17.83 cnf(3413,plain,
% 17.82/17.83 (P2(f18(x34131,a12),f17(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[3347,3279,2647,2681,2370,2028,2823,33,30,34,12])).
% 17.82/17.83 cnf(3417,plain,
% 17.82/17.83 (P4(f18(a12,a12),f18(a12,a12),f18(x34171,a12))),
% 17.82/17.83 inference(scs_inference,[],[3347,3279,3354,2647,2681,2370,2552,2028,2823,33,30,34,12,18,29])).
% 17.82/17.83 cnf(3420,plain,
% 17.82/17.83 (P4(f17(a12,a12),f18(a12,a12),f18(a12,a12))),
% 17.82/17.83 inference(scs_inference,[],[3417,3413,17,30])).
% 17.82/17.83 cnf(3435,plain,
% 17.82/17.83 ($false),
% 17.82/17.83 inference(scs_inference,[],[37,3420,3413,2335,2849,2074,2407,30,26]),
% 17.82/17.83 ['proof']).
% 17.82/17.83 % SZS output end Proof
% 17.82/17.83 % Total time : 17.180000 s
%------------------------------------------------------------------------------