TSTP Solution File: SYO607+1 by CSE-F---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE-F---1.0
% Problem  : SYO607+1 : TPTP v7.5.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Mar 29 01:05:41 EDT 2022

% Result   : Theorem 52.00s 52.08s
% Output   : CNFRefutation 52.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYO607+1 : TPTP v7.5.0. Released v7.0.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer   : n004.cluster.edu
% 0.13/0.33  % Model      : x86_64 x86_64
% 0.13/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % RAMPerCPU  : 8042.1875MB
% 0.13/0.33  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 600
% 0.13/0.33  % DateTime   : Mon Mar 14 06:23:10 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.45  openjdk version "1.8.0_171"
% 0.18/0.45  OpenJDK Runtime Environment (build 1.8.0_171-b10)
% 0.18/0.45  OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode)
% 0.18/0.45  file=/export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.68  start to proof:theBenchmark
% 52.00/52.08  % Version  : CSE-F---1.0
% 52.00/52.08  % Problem  : theBenchmark.p
% 52.00/52.08  % Proof found
% 52.00/52.08  % SZS status Theorem for theBenchmark.p
% 52.00/52.08  % SZS output start Proof
% 52.00/52.08  [1]~P1(x11,f1(x11))
% 52.00/52.08  [2]~P1(x21,x22)+P2(x21,x22)
% 52.00/52.08  [3]~P3(x31,x32)+P2(x31,x32)
% 52.00/52.08  [4]~P5(x41,x42)+P4(x41,x42)
% 52.00/52.08  [5]~P3(x51,x52)+P4(x51,x52)
% 52.00/52.08  [6]~P5(x61,x62)+~P5(a2,x61)
% 52.00/52.08  [8]~P2(x81,x82)+~P5(x81,x82)
% 52.00/52.08  [9]~P4(x91,x92)+~P1(x91,x92)
% 52.00/52.08  [7]P1(x71,x72)+P3(x71,x72)+P5(x71,x72)
% 52.00/52.08  [10]P2(x101,x102)+~P4(x101,x102)+P5(x101,x102)
% 52.00/52.08  [11]P4(x111,x112)+~P2(x111,x112)+P1(x111,x112)
% 52.00/52.08  [12]~P2(x121,x122)+~P4(x121,x122)+P3(x121,x122)
% 52.00/52.08  [13]P1(x131,x132)+~P3(x134,x135)+P1(a2,x131)+~P3(a2,x131)+P5(x134,f4(x134))+P1(a3,x133)+P5(a2,a5)
% 52.00/52.08  [14]P1(x141,x142)+~P3(x144,x145)+P1(a2,x141)+~P3(a2,x141)+P5(x144,f4(x144))+P1(a3,x143)+P5(a5,a7)
% 52.00/52.08  [15]P1(x151,x152)+~P3(x154,x155)+~P3(x151,x156)+P1(a2,x151)+P5(x151,f6(x151))+P5(x154,f4(x154))+P1(a3,x153)+P5(a2,a5)
% 52.00/52.08  [16]P1(x161,x162)+~P3(x164,x165)+~P3(x161,x166)+P1(a2,x161)+P5(x161,f6(x161))+P5(x164,f4(x164))+P1(a3,x163)+P5(a5,a7)
% 52.00/52.10  cnf(17,plain,
% 52.00/52.10     (~P1(x171,f1(x171))),
% 52.00/52.10     inference(rename_variables,[],[1])).
% 52.00/52.10  cnf(19,plain,
% 52.00/52.10     (P1(f1(a2),x191)+~P3(x192,x193)+~P3(f1(a2),x194)+P5(f1(a2),f6(f1(a2)))+P5(a2,a5)+P5(x192,f4(x192))+P1(a3,x195)),
% 52.00/52.10     inference(scs_inference,[],[1,17,15])).
% 52.00/52.10  cnf(20,plain,
% 52.00/52.10     (P1(x201,x202)+~P3(x203,x204)+P1(a2,x201)+~P3(a2,x201)+P5(x203,f4(x203))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[1,13])).
% 52.00/52.10  cnf(21,plain,
% 52.00/52.10     (P1(x211,x212)+~P3(x213,x214)+P1(a2,x211)+~P3(a2,x211)+P5(x213,f4(x213))+P5(a5,a7)),
% 52.00/52.10     inference(scs_inference,[],[1,14])).
% 52.00/52.10  cnf(23,plain,
% 52.00/52.10     (P1(x231,x232)+~P3(x233,x234)+~P3(x231,x235)+P1(a2,x231)+P5(x231,f6(x231))+P5(x233,f4(x233))+P5(a5,a7)),
% 52.00/52.10     inference(scs_inference,[],[1,16])).
% 52.00/52.10  cnf(25,plain,
% 52.00/52.10     (P5(x251,f4(x251))+P1(f1(a2),x252)+~P3(x251,x253)+P5(a2,a5)+~P3(a2,f1(a2))),
% 52.00/52.10     inference(scs_inference,[],[1,20])).
% 52.00/52.10  cnf(26,plain,
% 52.00/52.10     (P5(x261,f4(x261))+~P3(x261,x262)+P1(f1(a2),x263)+~P3(f1(a2),x264)+P5(f1(a2),f6(f1(a2)))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[1,19])).
% 52.00/52.10  cnf(28,plain,
% 52.00/52.10     (P5(x281,f4(x281))+P1(f1(a2),x282)+~P3(x281,x283)+P5(a5,a7)+~P3(a2,f1(a2))),
% 52.00/52.10     inference(scs_inference,[],[1,21])).
% 52.00/52.10  cnf(29,plain,
% 52.00/52.10     (P5(x291,f4(x291))+~P3(x291,x292)+~P3(a2,f1(a2))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[1,25])).
% 52.00/52.10  cnf(32,plain,
% 52.00/52.10     (P5(x321,f4(x321))+~P3(x321,x322)+~P3(f1(a2),x323)+P5(f1(a2),f6(f1(a2)))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[1,26])).
% 52.00/52.10  cnf(33,plain,
% 52.00/52.10     (P5(x331,f4(x331))+~P3(x331,x332)+~P3(a2,f1(a2))+P5(a5,a7)),
% 52.00/52.10     inference(scs_inference,[],[1,28])).
% 52.00/52.10  cnf(73,plain,
% 52.00/52.10     (~P5(x731,x732)+~P3(x731,x732)),
% 52.00/52.10     inference(scs_inference,[],[3,8])).
% 52.00/52.10  cnf(135,plain,
% 52.00/52.10     (~P1(x1351,x1352)+~P3(x1351,x1352)),
% 52.00/52.10     inference(scs_inference,[],[5,9])).
% 52.00/52.10  cnf(166,plain,
% 52.00/52.10     (P3(x1661,f1(x1661))+~P5(a2,x1661)),
% 52.00/52.10     inference(scs_inference,[],[1,6,7])).
% 52.00/52.10  cnf(657,plain,
% 52.00/52.10     (P2(x6571,x6572)+P3(x6571,x6572)+P5(x6571,x6572)),
% 52.00/52.10     inference(scs_inference,[],[2,7])).
% 52.00/52.10  cnf(688,plain,
% 52.00/52.10     (P5(x6881,x6882)+P2(x6881,x6882)),
% 52.00/52.10     inference(scs_inference,[],[657,3])).
% 52.00/52.10  cnf(709,plain,
% 52.00/52.10     (P5(x7091,f1(x7091))+P3(x7091,f1(x7091))),
% 52.00/52.10     inference(scs_inference,[],[1,7])).
% 52.00/52.10  cnf(711,plain,
% 52.00/52.10     (P3(a2,f1(a2))+~P5(f1(a2),x7111)),
% 52.00/52.10     inference(scs_inference,[],[1,7,6])).
% 52.00/52.10  cnf(713,plain,
% 52.00/52.10     (P3(a2,f1(a2))+P3(f1(a2),f1(f1(a2)))),
% 52.00/52.10     inference(scs_inference,[],[1,7,6,166])).
% 52.00/52.10  cnf(789,plain,
% 52.00/52.10     (P4(x7891,f1(x7891))+P5(x7891,f1(x7891))),
% 52.00/52.10     inference(scs_inference,[],[709,5])).
% 52.00/52.10  cnf(851,plain,
% 52.00/52.10     (P4(x8511,f1(x8511))),
% 52.00/52.10     inference(scs_inference,[],[789,4])).
% 52.00/52.10  cnf(852,plain,
% 52.00/52.10     (P3(x8521,f1(x8521))+~P2(x8521,f1(x8521))),
% 52.00/52.10     inference(scs_inference,[],[851,12])).
% 52.00/52.10  cnf(856,plain,
% 52.00/52.10     (~P1(x8561,f1(x8561))),
% 52.00/52.10     inference(rename_variables,[],[1])).
% 52.00/52.10  cnf(858,plain,
% 52.00/52.10     (P5(a2,f1(a2))+P5(a2,f4(a2))+~P2(a2,f1(a2))+P1(f1(a2),x8581)+P5(a5,a7)),
% 52.00/52.10     inference(scs_inference,[],[1,856,851,12,3,7,21])).
% 52.00/52.10  cnf(861,plain,
% 52.00/52.10     (P5(a2,f1(a2))+P5(a5,a7)+P5(a2,f4(a2))+~P2(a2,f1(a2))),
% 52.00/52.10     inference(scs_inference,[],[1,858])).
% 52.00/52.10  cnf(886,plain,
% 52.00/52.10     (~P2(a2,f1(a2))+P5(a2,f4(a2))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[852,29])).
% 52.00/52.10  cnf(1624,plain,
% 52.00/52.10     (~P3(a2,f1(a2))+P5(a2,f4(a2))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[3,886])).
% 52.00/52.10  cnf(1655,plain,
% 52.00/52.10     (P5(a2,f1(a2))+P5(a2,f4(a2))+P5(a2,a5)),
% 52.00/52.10     inference(scs_inference,[],[1624,709])).
% 52.00/52.10  cnf(1686,plain,
% 52.00/52.11     (P4(a2,f4(a2))+P5(a2,f1(a2))+P5(a2,a5)),
% 52.00/52.11     inference(scs_inference,[],[1655,4])).
% 52.00/52.11  cnf(1839,plain,
% 52.00/52.11     (P4(x18391,x18392)+P2(x18391,x18392)),
% 52.00/52.11     inference(scs_inference,[],[4,688])).
% 52.00/52.11  cnf(1962,plain,
% 52.00/52.11     (P4(a2,f4(a2))+~P2(a2,f1(a2))+P5(a2,a5)),
% 52.00/52.11     inference(scs_inference,[],[4,886])).
% 52.00/52.11  cnf(3650,plain,
% 52.00/52.11     (P2(a2,x36501)+~P5(x36501,x36502)),
% 52.00/52.11     inference(scs_inference,[],[6,688])).
% 52.00/52.11  cnf(3681,plain,
% 52.00/52.11     (P3(x36811,f1(x36811))+P2(a2,x36811)),
% 52.00/52.11     inference(scs_inference,[],[3650,709])).
% 52.00/52.11  cnf(4082,plain,
% 52.00/52.11     (~P5(f4(a2),x40821)+~P2(a2,f1(a2))+P5(a2,a5)),
% 52.00/52.11     inference(scs_inference,[],[6,886])).
% 52.00/52.11  cnf(4329,plain,
% 52.00/52.11     (~P5(a5,x43291)+~P2(a2,f1(a2))+P5(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[6,886])).
% 52.00/52.11  cnf(4360,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P5(a2,f4(a2))+~P5(a5,x43601)),
% 52.00/52.11     inference(scs_inference,[],[4329,3])).
% 52.00/52.11  cnf(4391,plain,
% 52.00/52.11     (P5(a2,f1(a2))+P5(a2,f4(a2))+~P5(a5,x43911)),
% 52.00/52.11     inference(scs_inference,[],[4360,709])).
% 52.00/52.11  cnf(4422,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+P5(a2,f4(a2))+~P5(a5,x44221)),
% 52.00/52.11     inference(scs_inference,[],[4391,166])).
% 52.00/52.11  cnf(4453,plain,
% 52.00/52.11     (P2(f1(a2),f1(f1(a2)))+P5(a2,f4(a2))+~P5(a5,x44531)),
% 52.00/52.11     inference(scs_inference,[],[4422,3])).
% 52.00/52.11  cnf(4484,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+~P5(a5,x44841)),
% 52.00/52.11     inference(scs_inference,[],[4453,8])).
% 52.00/52.11  cnf(4515,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+~P2(a2,f4(a2))+~P5(a5,x45151)),
% 52.00/52.11     inference(scs_inference,[],[851,4484,12])).
% 52.00/52.11  cnf(5191,plain,
% 52.00/52.11     (~P5(a5,x51911)+P4(a2,f4(a2))+P5(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[6,1686])).
% 52.00/52.11  cnf(5283,plain,
% 52.00/52.11     (~P5(a5,x52831)+P4(a2,f4(a2))+~P2(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[6,1962])).
% 52.00/52.11  cnf(5314,plain,
% 52.00/52.11     (~P1(a2,f4(a2))+~P2(a2,f1(a2))+~P5(a5,x53141)),
% 52.00/52.11     inference(scs_inference,[],[5283,9])).
% 52.00/52.11  cnf(10051,plain,
% 52.00/52.11     (~P2(a2,a5)+~P2(a2,f1(a2))+~P5(f4(a2),x100511)),
% 52.00/52.11     inference(scs_inference,[],[8,4082])).
% 52.00/52.11  cnf(11098,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+~P2(a2,f1(a2))+~P5(a5,x110981)),
% 52.00/52.11     inference(scs_inference,[],[8,4329])).
% 52.00/52.11  cnf(11129,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+~P2(a2,f1(a2))+~P5(a5,x111291)),
% 52.00/52.11     inference(scs_inference,[],[11098,3])).
% 52.00/52.11  cnf(11252,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+~P3(a2,f1(a2))+~P5(a5,x112521)),
% 52.00/52.11     inference(scs_inference,[],[8,4360])).
% 52.00/52.11  cnf(11283,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+~P3(a2,f4(a2))+~P5(a5,x112831)),
% 52.00/52.11     inference(scs_inference,[],[11252,3])).
% 52.00/52.11  cnf(15621,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+P5(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[8,861])).
% 52.00/52.11  cnf(15652,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P5(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[15621,3])).
% 52.00/52.11  cnf(15683,plain,
% 52.00/52.11     (P5(a2,f1(a2))+P5(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[15652,709])).
% 52.00/52.11  cnf(16145,plain,
% 52.00/52.11     (~P2(a5,a7)+~P2(a2,f1(a2))+P5(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[8,15621])).
% 52.00/52.11  cnf(16176,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P5(a2,f4(a2))+~P2(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[16145,3])).
% 52.00/52.11  cnf(16207,plain,
% 52.00/52.11     (P5(a2,f1(a2))+P5(a2,f4(a2))+~P2(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[16176,709])).
% 52.00/52.11  cnf(16361,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+~P3(a2,f1(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[8,15652])).
% 52.00/52.11  cnf(16392,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+~P1(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[16361,2])).
% 52.00/52.11  cnf(16423,plain,
% 52.00/52.11     (P5(a2,f1(a2))+~P1(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[16392,709])).
% 52.00/52.11  cnf(16454,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+~P1(a2,f4(a2))+P5(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[16423,5314])).
% 52.00/52.11  cnf(16546,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P5(a2,f1(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[8,15683])).
% 52.00/52.11  cnf(16577,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P5(a2,f1(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[16546,3])).
% 52.00/52.11  cnf(17347,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P5(a2,f1(a2))+~P2(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[8,16207])).
% 52.00/52.11  cnf(17378,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P5(a2,f1(a2))+~P2(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[17347,3])).
% 52.00/52.11  cnf(17624,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+~P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[8,16454])).
% 52.00/52.11  cnf(17655,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+~P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[17624,3])).
% 52.00/52.11  cnf(17686,plain,
% 52.00/52.11     (P5(a2,f1(a2))+~P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[17655,709])).
% 52.00/52.11  cnf(17717,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P3(a2,f4(a2))+P5(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[17686,7])).
% 52.00/52.11  cnf(18057,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+~P3(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[8,16577])).
% 52.00/52.11  cnf(18088,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+~P3(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[18057,3])).
% 52.00/52.11  cnf(18119,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+~P3(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[18088,713])).
% 52.00/52.11  cnf(18150,plain,
% 52.00/52.11     (P2(f1(a2),f1(f1(a2)))+~P3(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[18119,3])).
% 52.00/52.11  cnf(18642,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+~P2(a5,a7)+~P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[8,17378])).
% 52.00/52.11  cnf(18673,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+~P2(a5,a7)+~P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[18642,3])).
% 52.00/52.11  cnf(18827,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P5(a2,f1(a2))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[8,17717])).
% 52.00/52.11  cnf(18858,plain,
% 52.00/52.11     (P4(a2,f4(a2))+P5(a2,f1(a2))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[18827,1839])).
% 52.00/52.11  cnf(19755,plain,
% 52.00/52.11     (~P2(a5,a7)+P2(f1(a2),f1(f1(a2)))+~P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[8,18150])).
% 52.00/52.11  cnf(20341,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+P4(a2,f4(a2))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[8,18858])).
% 52.00/52.11  cnf(20372,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+P4(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[20341,18057])).
% 52.00/52.11  cnf(20403,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P4(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[20372,3])).
% 52.00/52.11  cnf(20434,plain,
% 52.00/52.11     (P5(a2,f1(a2))+P4(a2,f4(a2))+P5(a5,a7)),
% 52.00/52.11     inference(scs_inference,[],[20403,709])).
% 52.00/52.11  cnf(20465,plain,
% 52.00/52.11     (P4(a2,f4(a2))+P5(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[20434,5191])).
% 52.00/52.11  cnf(20496,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P4(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[20465,73])).
% 52.00/52.11  cnf(20527,plain,
% 52.00/52.11     (P4(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[20496,713])).
% 52.00/52.11  cnf(20558,plain,
% 52.00/52.11     (P3(a2,f4(a2))+~P2(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[20527,12])).
% 52.00/52.11  cnf(20589,plain,
% 52.00/52.11     (P3(f4(a2),f1(f4(a2)))+P3(f1(a2),f1(f1(a2)))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[20558,3681])).
% 52.00/52.11  cnf(20620,plain,
% 52.00/52.11     (P2(f1(a2),f1(f1(a2)))+P3(f4(a2),f1(f4(a2)))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[20589,3])).
% 52.00/52.11  cnf(20651,plain,
% 52.00/52.11     (P2(f4(a2),f1(f4(a2)))+P2(f1(a2),f1(f1(a2)))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[20620,3])).
% 52.00/52.11  cnf(20682,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+P2(f4(a2),f1(f4(a2)))+P3(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[851,20651,12])).
% 52.00/52.11  cnf(26143,plain,
% 52.00/52.11     (P2(x261431,x261432)+P2(a2,x261431)),
% 52.00/52.11     inference(scs_inference,[],[688,3650])).
% 52.00/52.11  cnf(26174,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+P5(a2,f4(a2))+P2(a2,a5)),
% 52.00/52.11     inference(scs_inference,[],[26143,16145])).
% 52.00/52.11  cnf(26205,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P5(a2,f4(a2))+P2(a2,a5)),
% 52.00/52.11     inference(scs_inference,[],[26174,3])).
% 52.00/52.11  cnf(27593,plain,
% 52.00/52.11     (P2(a5,x275931)+~P2(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[688,4515])).
% 52.00/52.11  cnf(27624,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))+P2(a5,x276241)),
% 52.00/52.11     inference(scs_inference,[],[27593,3])).
% 52.00/52.11  cnf(27655,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+P2(f4(a2),f1(f4(a2)))+P2(a5,x276551)),
% 52.00/52.11     inference(scs_inference,[],[27624,20682])).
% 52.00/52.11  cnf(27686,plain,
% 52.00/52.11     (P2(f1(a2),f1(f1(a2)))+P2(f4(a2),f1(f4(a2)))+P2(a5,x276861)),
% 52.00/52.11     inference(scs_inference,[],[27655,3])).
% 52.00/52.11  cnf(27717,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+P2(f4(a2),f1(f4(a2)))),
% 52.00/52.11     inference(scs_inference,[],[27686,19755])).
% 52.00/52.11  cnf(27748,plain,
% 52.00/52.11     (P2(f1(a2),f1(f1(a2)))+P3(f4(a2),f1(f4(a2)))+P2(f4(a2),f1(f4(a2)))),
% 52.00/52.11     inference(scs_inference,[],[27717,20620])).
% 52.00/52.11  cnf(27779,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+P3(f4(a2),f1(f4(a2)))+P2(f4(a2),f1(f4(a2)))),
% 52.00/52.11     inference(scs_inference,[],[851,27748,12])).
% 52.00/52.11  cnf(27810,plain,
% 52.00/52.11     (P2(f4(a2),f1(f4(a2)))+P3(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[27779,3])).
% 52.00/52.11  cnf(27841,plain,
% 52.00/52.11     (P2(f1(a2),f1(f1(a2)))+P2(f4(a2),f1(f4(a2)))),
% 52.00/52.11     inference(scs_inference,[],[27810,3])).
% 52.00/52.11  cnf(27872,plain,
% 52.00/52.11     (P3(f4(a2),f1(f4(a2)))+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[851,27841,12])).
% 52.00/52.11  cnf(27903,plain,
% 52.00/52.11     (P3(f1(a2),f1(f1(a2)))+P3(f4(a2),f1(f4(a2)))),
% 52.00/52.11     inference(scs_inference,[],[851,27872,12])).
% 52.00/52.11  cnf(29195,plain,
% 52.00/52.11     (P2(f4(a2),x291951)+~P2(a2,f1(a2))+~P2(a2,a5)),
% 52.00/52.11     inference(scs_inference,[],[688,10051])).
% 52.00/52.11  cnf(29226,plain,
% 52.00/52.11     (~P2(a2,a5)+~P3(a2,f1(a2))+P2(f4(a2),x292261)),
% 52.00/52.11     inference(scs_inference,[],[29195,3])).
% 52.00/52.11  cnf(29257,plain,
% 52.00/52.11     (P5(a2,f4(a2))+~P3(a2,f1(a2))+P2(f4(a2),x292571)),
% 52.00/52.11     inference(scs_inference,[],[29226,26205])).
% 52.00/52.11  cnf(29288,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+~P5(f4(a2),x292881)+P2(f4(a2),x292882)),
% 52.00/52.11     inference(scs_inference,[],[29257,6])).
% 52.00/52.11  cnf(29319,plain,
% 52.00/52.11     (~P3(a2,f1(a2))+P3(f4(a2),f1(f4(a2)))+P2(f4(a2),x293191)),
% 52.00/52.11     inference(scs_inference,[],[29288,709])).
% 52.00/52.11  cnf(29350,plain,
% 52.00/52.11     (P3(f4(a2),f1(f4(a2)))+P2(f4(a2),x293501)+~P5(f1(a2),x293502)),
% 52.00/52.11     inference(scs_inference,[],[29319,711])).
% 52.00/52.11  cnf(29381,plain,
% 52.00/52.11     (P2(f4(a2),f1(f4(a2)))+P2(f4(a2),x293811)+~P5(f1(a2),x293812)),
% 52.00/52.11     inference(scs_inference,[],[29350,3])).
% 52.00/52.11  cnf(29382,plain,
% 52.00/52.11     (P2(f4(a2),f1(f4(a2)))+~P5(f1(a2),x293821)),
% 52.00/52.11     inference(factoring_inference,[],[29381])).
% 52.00/52.11  cnf(29413,plain,
% 52.00/52.11     (P3(f4(a2),f1(f4(a2)))+~P5(f1(a2),x294131)),
% 52.00/52.11     inference(scs_inference,[],[851,29382,12])).
% 52.00/52.11  cnf(30058,plain,
% 52.00/52.11     (P2(a5,x300581)+~P3(a2,f4(a2))+~P2(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[688,11129])).
% 52.00/52.11  cnf(30089,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+~P2(a2,f1(a2))),
% 52.00/52.11     inference(scs_inference,[],[30058,18642])).
% 52.00/52.11  cnf(30120,plain,
% 52.00/52.11     (~P2(a2,f1(a2))+P5(a2,f4(a2))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[30089,7])).
% 52.00/52.11  cnf(30800,plain,
% 52.00/52.11     (P5(a2,f1(a2))+P5(a2,f4(a2))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[688,30120])).
% 52.00/52.11  cnf(30831,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[30800,166])).
% 52.00/52.11  cnf(30862,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[30831,8])).
% 52.00/52.11  cnf(30893,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[30862,3])).
% 52.00/52.11  cnf(30924,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[30893,3])).
% 52.00/52.11  cnf(30955,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P1(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[30924,7])).
% 52.00/52.11  cnf(30986,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+P1(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[30955,8])).
% 52.00/52.11  cnf(31017,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+~P4(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[30986,9])).
% 52.00/52.11  cnf(31048,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+~P4(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[31017,688])).
% 52.00/52.11  cnf(31079,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+~P4(a2,f4(a2))),
% 52.00/52.11     inference(scs_inference,[],[31048,73])).
% 52.00/52.11  cnf(31110,plain,
% 52.00/52.11     (~P3(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[31079,5])).
% 52.00/52.11  cnf(31141,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P5(a2,f1(a2))+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[31110,17717])).
% 52.00/52.11  cnf(31172,plain,
% 52.00/52.11     (P5(a2,f1(a2))+~P2(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[31141,8])).
% 52.00/52.11  cnf(31203,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+~P5(f1(a2),x312031)+P2(f1(a2),f1(f1(a2)))),
% 52.00/52.11     inference(scs_inference,[],[31172,6])).
% 52.00/52.11  cnf(31234,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P2(f1(a2),f1(f1(a2)))+~P5(f1(a2),x312341)),
% 52.00/52.11     inference(scs_inference,[],[31203,688])).
% 52.00/52.11  cnf(31265,plain,
% 52.00/52.11     (P5(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))+~P5(f1(a2),x312651)),
% 52.00/52.11     inference(scs_inference,[],[851,31234,12])).
% 52.00/52.11  cnf(31296,plain,
% 52.00/52.11     (~P2(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))+~P5(f1(a2),x312961)),
% 52.00/52.11     inference(scs_inference,[],[31265,8])).
% 52.00/52.11  cnf(31327,plain,
% 52.00/52.12     (~P2(a2,f4(a2))+~P5(f1(a2),f1(f1(a2)))+~P5(f1(a2),x313271)),
% 52.00/52.12     inference(scs_inference,[],[31296,73])).
% 52.00/52.12  cnf(31328,plain,
% 52.00/52.12     (~P2(a2,f4(a2))+~P5(f1(a2),f1(f1(a2)))),
% 52.00/52.12     inference(factoring_inference,[],[31327])).
% 52.00/52.12  cnf(31451,plain,
% 52.00/52.12     (P5(a2,f4(a2))+~P5(f1(a2),f1(f1(a2)))),
% 52.00/52.12     inference(scs_inference,[],[688,31328])).
% 52.00/52.12  cnf(31482,plain,
% 52.00/52.12     (P5(a2,f4(a2))+P3(f1(a2),f1(f1(a2)))),
% 52.00/52.12     inference(scs_inference,[],[31451,709])).
% 52.00/52.12  cnf(32221,plain,
% 52.00/52.12     (P2(a5,x322211)+~P3(a2,f4(a2))+~P3(a2,f1(a2))),
% 52.00/52.12     inference(scs_inference,[],[688,11283])).
% 52.00/52.12  cnf(32252,plain,
% 52.00/52.12     (~P3(a2,f4(a2))+~P3(a2,f1(a2))),
% 52.00/52.12     inference(scs_inference,[],[32221,18673])).
% 52.00/52.12  cnf(32283,plain,
% 52.00/52.12     (~P3(a2,f1(a2))+~P4(a2,f4(a2))+~P2(a2,f4(a2))),
% 52.00/52.12     inference(scs_inference,[],[32252,12])).
% 52.00/52.12  cnf(32468,plain,
% 52.00/52.12     (P5(a2,f4(a2))+~P3(a2,f1(a2))+~P4(a2,f4(a2))),
% 52.00/52.12     inference(scs_inference,[],[688,32283])).
% 52.00/52.12  cnf(32499,plain,
% 52.00/52.12     (~P3(a2,f1(a2))+~P5(f4(a2),x324991)+~P4(a2,f4(a2))),
% 52.00/52.12     inference(scs_inference,[],[32468,6])).
% 52.00/52.12  cnf(32530,plain,
% 52.00/52.12     (~P2(a2,f1(a2))+~P4(a2,f4(a2))+~P5(f4(a2),x325301)),
% 52.00/52.12     inference(scs_inference,[],[32499,852])).
% 52.00/52.12  cnf(32561,plain,
% 52.00/52.12     (~P2(a2,f1(a2))+P5(a2,f1(a2))+~P5(f4(a2),x325611)),
% 52.00/52.12     inference(scs_inference,[],[32530,20465])).
% 52.00/52.12  cnf(32592,plain,
% 52.00/52.12     (P5(a2,f1(a2))+~P3(a2,f1(a2))+~P5(f4(a2),x325921)),
% 52.00/52.12     inference(scs_inference,[],[32561,3])).
% 52.00/52.12  cnf(32623,plain,
% 52.00/52.12     (~P3(a2,f1(a2))+~P2(a2,f1(a2))+~P5(f4(a2),x326231)),
% 52.00/52.12     inference(scs_inference,[],[32592,8])).
% 52.00/52.12  cnf(32654,plain,
% 52.00/52.12     (~P2(a2,f1(a2))+~P5(f4(a2),x326541)),
% 52.00/52.12     inference(scs_inference,[],[32623,852])).
% 52.00/52.12  cnf(32808,plain,
% 52.00/52.12     (P5(a2,f1(a2))+~P5(f4(a2),x328081)),
% 52.00/52.12     inference(scs_inference,[],[688,32654])).
% 52.00/52.12  cnf(32839,plain,
% 52.00/52.12     (~P3(a2,f1(a2))+~P5(f4(a2),x328391)),
% 52.00/52.12     inference(scs_inference,[],[32808,73])).
% 52.00/52.12  cnf(35991,plain,
% 52.00/52.12     (P5(a5,a7)+~P3(a2,f1(a2))+~P3(f4(a2),x359911)),
% 52.00/52.12     inference(scs_inference,[],[32839,33])).
% 52.00/52.12  cnf(36176,plain,
% 52.00/52.12     (~P3(a2,f1(a2))+P5(a2,a5)+~P3(f4(a2),x361761)),
% 52.00/52.12     inference(scs_inference,[],[32839,29])).
% 52.00/52.12  cnf(36721,plain,
% 52.00/52.12     (P3(f1(a2),f1(f1(a2)))+P5(a5,a7)+~P3(f4(a2),x367211)),
% 52.00/52.12     inference(scs_inference,[],[713,35991])).
% 52.00/52.12  cnf(36752,plain,
% 52.00/52.12     (P5(a5,a7)+P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x367521)),
% 52.00/52.12     inference(scs_inference,[],[36721,3])).
% 52.00/52.12  cnf(36783,plain,
% 52.00/52.12     (P4(a5,a7)+P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x367831)),
% 52.00/52.12     inference(scs_inference,[],[36752,4])).
% 52.00/52.12  cnf(36814,plain,
% 52.00/52.12     (P3(f1(a2),f1(f1(a2)))+P4(a5,a7)+~P3(f4(a2),x368141)),
% 52.00/52.12     inference(scs_inference,[],[851,36783,12])).
% 52.00/52.12  cnf(36845,plain,
% 52.00/52.12     (P3(f1(a2),f1(f1(a2)))+P4(a5,a7)),
% 52.00/52.12     inference(scs_inference,[],[36814,27903])).
% 52.00/52.12  cnf(36999,plain,
% 52.00/52.12     (P3(f1(a2),f1(f1(a2)))+P3(a5,a7)+~P2(a5,a7)),
% 52.00/52.12     inference(scs_inference,[],[36845,12])).
% 52.11/52.12  cnf(37030,plain,
% 52.11/52.12     (~P2(a5,a7)+P2(f1(a2),f1(f1(a2)))+P3(a5,a7)),
% 52.11/52.12     inference(scs_inference,[],[36999,3])).
% 52.11/52.12  cnf(37061,plain,
% 52.11/52.12     (P5(a5,a7)+P2(f1(a2),f1(f1(a2)))+P3(a5,a7)),
% 52.11/52.12     inference(scs_inference,[],[37030,688])).
% 52.11/52.12  cnf(37092,plain,
% 52.11/52.12     (P2(f1(a2),f1(f1(a2)))+~P5(a2,a5)+P3(a5,a7)),
% 52.11/52.12     inference(scs_inference,[],[37061,6])).
% 52.11/52.12  cnf(37673,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+P5(a2,a5)+~P3(f4(a2),x376731)),
% 52.11/52.12     inference(scs_inference,[],[713,36176])).
% 52.11/52.12  cnf(37704,plain,
% 52.11/52.12     (P5(a2,a5)+P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x377041)),
% 52.11/52.12     inference(scs_inference,[],[37673,3])).
% 52.11/52.12  cnf(37735,plain,
% 52.11/52.12     (P2(f1(a2),f1(f1(a2)))+P3(a5,a7)+~P3(f4(a2),x377351)),
% 52.11/52.12     inference(scs_inference,[],[37704,37092])).
% 52.11/52.12  cnf(37766,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+P3(a5,a7)+~P3(f4(a2),x377661)),
% 52.11/52.12     inference(scs_inference,[],[851,37735,12])).
% 52.11/52.12  cnf(37797,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+P3(a5,a7)),
% 52.11/52.12     inference(scs_inference,[],[37766,27903])).
% 52.11/52.12  cnf(37828,plain,
% 52.11/52.12     (P2(f1(a2),f1(f1(a2)))+P3(a5,a7)),
% 52.11/52.12     inference(scs_inference,[],[37797,3])).
% 52.11/52.12  cnf(37859,plain,
% 52.11/52.12     (~P5(a5,a7)+P2(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[37828,73])).
% 52.11/52.12  cnf(38196,plain,
% 52.11/52.12     (~P3(a2,f1(a2))+P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x381961)),
% 52.11/52.12     inference(scs_inference,[],[37859,35991])).
% 52.11/52.12  cnf(38227,plain,
% 52.11/52.12     (P5(a2,f1(a2))+P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x382271)),
% 52.11/52.12     inference(scs_inference,[],[38196,709])).
% 52.11/52.12  cnf(38258,plain,
% 52.11/52.12     (~P5(f1(a2),x382581)+P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x382582)),
% 52.11/52.12     inference(scs_inference,[],[38227,6])).
% 52.11/52.12  cnf(38289,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+~P5(f1(a2),x382891)+~P3(f4(a2),x382892)),
% 52.11/52.12     inference(scs_inference,[],[851,38258,12])).
% 52.11/52.12  cnf(38320,plain,
% 52.11/52.12     (~P5(f1(a2),f1(f1(a2)))+~P5(f1(a2),x383201)+~P3(f4(a2),x383202)),
% 52.11/52.12     inference(scs_inference,[],[38289,73])).
% 52.11/52.12  cnf(38321,plain,
% 52.11/52.12     (~P5(f1(a2),f1(f1(a2)))+~P3(f4(a2),x383211)),
% 52.11/52.12     inference(factoring_inference,[],[38320])).
% 52.11/52.12  cnf(38352,plain,
% 52.11/52.12     (P2(f1(a2),f1(f1(a2)))+~P3(f4(a2),x383521)),
% 52.11/52.12     inference(scs_inference,[],[38321,688])).
% 52.11/52.12  cnf(38383,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+~P3(f4(a2),x383831)),
% 52.11/52.12     inference(scs_inference,[],[851,38352,12])).
% 52.11/52.12  cnf(38414,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+~P5(a2,f4(a2))),
% 52.11/52.12     inference(scs_inference,[],[38383,166])).
% 52.11/52.12  cnf(38445,plain,
% 52.11/52.12     (~P5(a2,f4(a2))+~P5(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38414,73])).
% 52.11/52.12  cnf(38476,plain,
% 52.11/52.12     (~P5(f1(a2),f1(f1(a2)))+P3(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38445,31482])).
% 52.11/52.12  cnf(38507,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))+P2(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38476,688])).
% 52.11/52.12  cnf(38538,plain,
% 52.11/52.12     (~P5(f1(a2),f1(f1(a2)))+P2(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38507,73])).
% 52.11/52.12  cnf(38569,plain,
% 52.11/52.12     (P2(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38538,688])).
% 52.11/52.12  cnf(38570,plain,
% 52.11/52.12     (P3(f1(a2),f1(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38569,852])).
% 52.11/52.12  cnf(38577,plain,
% 52.11/52.12     (P5(a2,a5)+P5(x385771,f4(x385771))+~P3(x385771,x385772)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38570,32])).
% 52.11/52.12  cnf(39073,plain,
% 52.11/52.12     (~P3(a2,f1(a2))+P5(a2,a5)+~P5(f1(a2),x390731)),
% 52.11/52.12     inference(scs_inference,[],[29413,36176])).
% 52.11/52.12  cnf(39119,plain,
% 52.11/52.12     (P5(a2,a5)+P5(a2,f1(a2))+~P5(f1(a2),x391191)),
% 52.11/52.12     inference(scs_inference,[],[39073,709])).
% 52.11/52.12  cnf(39165,plain,
% 52.11/52.12     (P5(a2,f1(a2))+P4(a2,a5)+~P5(f1(a2),x391651)),
% 52.11/52.12     inference(scs_inference,[],[39119,4])).
% 52.11/52.12  cnf(39211,plain,
% 52.11/52.12     (P4(a2,a5)+~P5(f1(a2),x392111)+~P5(f1(a2),x392112)),
% 52.11/52.12     inference(scs_inference,[],[39165,6])).
% 52.11/52.12  cnf(39257,plain,
% 52.11/52.12     (~P1(a2,a5)+~P5(f1(a2),x392571)+~P5(f1(a2),x392572)),
% 52.11/52.12     inference(scs_inference,[],[39211,9])).
% 52.11/52.12  cnf(39348,plain,
% 52.11/52.12     (P3(f4(a2),f1(f4(a2)))+P5(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38570,29413,38577])).
% 52.11/52.12  cnf(39394,plain,
% 52.11/52.12     (~P3(a2,f1(a2))+P5(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[39348,36176])).
% 52.11/52.12  cnf(39440,plain,
% 52.11/52.12     (P5(a2,a5)+P5(a2,f1(a2))+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[39394,709])).
% 52.11/52.12  cnf(39486,plain,
% 52.11/52.12     (P5(a2,f1(a2))+P4(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[39440,4])).
% 52.11/52.12  cnf(39532,plain,
% 52.11/52.12     (P4(a2,a5)+~P2(a2,f1(a2))+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[39486,8])).
% 52.11/52.12  cnf(39578,plain,
% 52.11/52.12     (~P2(a2,f1(a2))+~P1(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[39532,9])).
% 52.11/52.12  cnf(39624,plain,
% 52.11/52.12     (~P1(a2,a5)+~P3(a2,f1(a2))+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[39578,3])).
% 52.11/52.12  cnf(39670,plain,
% 52.11/52.12     (~P3(a2,f1(a2))+~P1(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[39624,39257])).
% 52.11/52.12  cnf(39716,plain,
% 52.11/52.12     (~P1(a2,a5)+~P5(f1(a2),x397161)),
% 52.11/52.12     inference(scs_inference,[],[39670,711])).
% 52.11/52.12  cnf(41596,plain,
% 52.11/52.12     (~P1(a2,a5)+P5(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[38570,39716,38577])).
% 52.11/52.12  cnf(41642,plain,
% 52.11/52.12     (P3(a2,a5)+P5(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[41596,7])).
% 52.11/52.12  cnf(41688,plain,
% 52.11/52.12     (P4(a2,a5)+P3(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[41642,4])).
% 52.11/52.12  cnf(41734,plain,
% 52.11/52.12     (~P1(a2,a5)+P3(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[41688,9])).
% 52.11/52.12  cnf(41780,plain,
% 52.11/52.12     (~P1(a2,a5)+P5(f1(a2),f6(f1(a2)))),
% 52.11/52.12     inference(scs_inference,[],[41734,135])).
% 52.11/52.12  cnf(42193,plain,
% 52.11/52.12     (~P1(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[39716,41780])).
% 52.11/52.12  cnf(42200,plain,
% 52.11/52.12     (P4(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[42193,11,3650,3681,1839])).
% 52.11/52.12  cnf(42204,plain,
% 52.11/52.12     (P3(a2,a5)+~P2(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[42200,12])).
% 52.11/52.12  cnf(42212,plain,
% 52.11/52.12     (P3(a2,a5)+P5(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[42193,7])).
% 52.11/52.12  cnf(42248,plain,
% 52.11/52.12     (~P5(a5,x422481)+P3(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[42204,3650])).
% 52.11/52.12  cnf(42340,plain,
% 52.11/52.12     (P5(a2,a5)+P5(a2,f4(a2))+~P5(a5,x423401)),
% 52.11/52.12     inference(scs_inference,[],[42193,1,42248,20])).
% 52.11/52.12  cnf(42432,plain,
% 52.11/52.12     (P5(a2,f4(a2))+~P5(a5,x424321)+~P5(a5,x424322)),
% 52.11/52.12     inference(scs_inference,[],[42340,6])).
% 52.11/52.12  cnf(45048,plain,
% 52.11/52.12     (~P2(a2,a5)+P5(a5,a7)+P5(a2,f4(a2))),
% 52.11/52.12     inference(scs_inference,[],[42193,1,42204,21])).
% 52.11/52.12  cnf(45094,plain,
% 52.11/52.12     (P5(a5,a7)+P5(a2,f4(a2))+~P3(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[45048,3])).
% 52.11/52.12  cnf(45140,plain,
% 52.11/52.12     (~P3(a2,a5)+P5(a2,f4(a2))),
% 52.11/52.12     inference(scs_inference,[],[45094,42432])).
% 52.11/52.12  cnf(45186,plain,
% 52.11/52.12     (P5(a2,f4(a2))+P5(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[45140,42212])).
% 52.11/52.12  cnf(45232,plain,
% 52.11/52.12     (P5(a2,a5)+~P5(f4(a2),x452321)),
% 52.11/52.12     inference(scs_inference,[],[45186,6])).
% 52.11/52.12  cnf(45966,plain,
% 52.11/52.12     (~P2(a2,a5)+P5(a2,f4(a2))),
% 52.11/52.12     inference(scs_inference,[],[42204,45140])).
% 52.11/52.12  cnf(50112,plain,
% 52.11/52.12     (~P3(f4(a2),x501121)+P5(a2,a5)+~P3(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[1,42193,45232,20])).
% 52.11/52.12  cnf(50113,plain,
% 52.11/52.12     (P5(a2,a5)+~P2(a2,a5)+~P3(f4(a2),x501131)),
% 52.11/52.12     inference(scs_inference,[],[50112,42204])).
% 52.11/52.12  cnf(50114,plain,
% 52.11/52.12     (P5(a2,a5)+~P3(f4(a2),x501141)),
% 52.11/52.12     inference(scs_inference,[],[50113,688])).
% 52.11/52.12  cnf(50115,plain,
% 52.11/52.12     (~P5(a5,x501151)+~P3(f4(a2),x501152)),
% 52.11/52.12     inference(scs_inference,[],[50114,6])).
% 52.11/52.12  cnf(50116,plain,
% 52.11/52.12     (~P5(a2,f4(a2))+~P5(a5,x501161)),
% 52.11/52.12     inference(scs_inference,[],[50115,166])).
% 52.11/52.12  cnf(50147,plain,
% 52.11/52.12     (~P2(a2,a5)+~P5(a5,x501471)),
% 52.11/52.12     inference(scs_inference,[],[45966,50116])).
% 52.11/52.12  cnf(50148,plain,
% 52.11/52.12     (~P3(a2,a5)+~P5(a5,x501481)),
% 52.11/52.12     inference(scs_inference,[],[50147,3])).
% 52.11/52.12  cnf(50150,plain,
% 52.11/52.12     (P5(a2,a5)+~P5(a5,x501501)),
% 52.11/52.12     inference(scs_inference,[],[50148,42212])).
% 52.11/52.12  cnf(50153,plain,
% 52.11/52.12     (~P5(a5,x501531)+~P5(a5,x501532)),
% 52.11/52.12     inference(scs_inference,[],[50150,6])).
% 52.11/52.12  cnf(50154,plain,
% 52.11/52.12     (P3(a5,f1(a5))),
% 52.11/52.12     inference(scs_inference,[],[50153,709])).
% 52.11/52.12  cnf(50170,plain,
% 52.11/52.12     (P5(a5,f4(a5))+P5(a5,a7)+~P3(a2,a5)),
% 52.11/52.12     inference(scs_inference,[],[1,50154,42193,21])).
% 52.11/52.12  cnf(50174,plain,
% 52.11/52.12     (P5(a5,f6(a5))+P5(a5,a7)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[1,50154,42193,23])).
% 52.11/52.12  cnf(50176,plain,
% 52.11/52.12     (P5(a5,a7)+~P2(a2,a5)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[50170,42204])).
% 52.11/52.12  cnf(50179,plain,
% 52.11/52.12     (P5(a5,a7)+P5(a2,a5)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[50176,688])).
% 52.11/52.12  cnf(50184,plain,
% 52.11/52.12     (P5(a2,a5)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[50179,50153])).
% 52.11/52.12  cnf(50186,plain,
% 52.11/52.12     (~P2(a2,a5)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[50184,8])).
% 52.11/52.12  cnf(50192,plain,
% 52.11/52.12     (P2(a5,x501921)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[50186,26143])).
% 52.11/52.12  cnf(50193,plain,
% 52.11/52.12     (P2(a5,x501931)),
% 52.11/52.12     inference(scs_inference,[],[50192,50153])).
% 52.11/52.12  cnf(50202,plain,
% 52.11/52.12     (~P5(a5,x502021)),
% 52.11/52.12     inference(scs_inference,[],[50193,8])).
% 52.11/52.12  cnf(50249,plain,
% 52.11/52.12     (~P3(a2,a5)+P5(a5,f4(a5))),
% 52.11/52.12     inference(scs_inference,[],[50202,50170])).
% 52.11/52.12  cnf(50250,plain,
% 52.11/52.12     (P5(a5,a7)+P5(a5,f6(a5))),
% 52.11/52.12     inference(scs_inference,[],[50202,50174])).
% 52.11/52.12  cnf(50262,plain,
% 52.11/52.12     (~P5(a5,x502621)),
% 52.11/52.12     inference(rename_variables,[],[50202])).
% 52.11/52.12  cnf(50265,plain,
% 52.11/52.12     ($false),
% 52.11/52.12     inference(scs_inference,[],[50202,50262,50193,50249,50250,8]),
% 52.11/52.12     ['proof']).
% 52.11/52.12  % SZS output end Proof
% 52.11/52.12  % Total time : 51.330000 s
%------------------------------------------------------------------------------