TSTP Solution File: MGT054+1 by CSE_E---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.6
% Problem : MGT054+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 08:08:47 EDT 2024
% Result : Theorem 13.76s 13.92s
% Output : CNFRefutation 13.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT054+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n023.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 18:21:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.51/0.57 start to proof: theBenchmark
% 13.76/13.92 % Version : CSE_E---1.6
% 13.76/13.92 % Problem : theBenchmark.p
% 13.76/13.92 % Proof found
% 13.76/13.92 % SZS status Theorem for theBenchmark.p
% 13.76/13.92 % SZS output start Proof
% 13.76/13.92 [25]P2(a6,a5)
% 13.76/13.92 [29]~P4(a1)
% 13.76/13.92 [30]P1(a1)
% 13.76/13.92 [24]~P2(f9(a1,a8),f9(a1,a7))
% 13.76/13.92 [26]P2(f2(a1,a8),a6)
% 13.76/13.92 [27]P8(f2(a1,a7),a6)
% 13.76/13.92 [28]E(f2(a1,a4),a5)
% 13.76/13.92 [1]~E(x11,x12)+P8(x11,x12)
% 13.76/13.92 [2]~P9(x21,x22)+P8(x21,x22)
% 13.76/13.92 [4]~E(x41,x42)+P5(x41,x42)
% 13.76/13.92 [5]~P2(x51,x52)+P5(x51,x52)
% 13.76/13.92 [7]~P2(x72,x71)+P9(x71,x72)
% 13.76/13.92 [8]~P9(x82,x81)+P2(x81,x82)
% 13.76/13.92 [9]~P2(x92,x91)+~P2(x91,x92)
% 13.76/13.92 [18]P1(x181)+~P3(x181,x182,x183)
% 13.76/13.92 [3]P9(x31,x32)+~P8(x31,x32)+E(x31,x32)
% 13.76/13.92 [6]P2(x61,x62)+~P5(x61,x62)+E(x61,x62)
% 13.76/13.92 [11]P9(x111,x112)+P2(x111,x112)+E(x111,x112)
% 13.76/13.92 [12]~P1(x121)+P4(x121)+~P6(x121,x122)
% 13.76/13.92 [19]~P1(x191)+P7(x191,x192)+~E(f2(x191,x192),a5)
% 13.76/13.92 [10]~P2(x101,x103)+P2(x101,x102)+~P2(x103,x102)
% 13.76/13.92 [16]~P3(x161,x163,x162)+P7(x161,x162)+P7(x161,x163)
% 13.76/13.92 [17]~P3(x171,x173,x172)+~P7(x171,x172)+~P7(x171,x173)
% 13.76/13.92 [14]~P1(x141)+~P7(x141,x143)+P7(x141,x142)+P3(x141,x142,x143)
% 13.76/13.92 [15]~P1(x151)+~P7(x151,x153)+P7(x151,x152)+P3(x151,x153,x152)
% 13.76/13.92 [13]~P1(x131)+~P6(x131,x133)+P6(x131,x132)+P2(f9(x131,x132),f9(x131,x133))
% 13.76/13.92 [20]~P1(x201)+~P7(x201,x203)+P7(x201,x202)+P2(f3(x201,x203),f3(x201,x202))
% 13.76/13.92 [21]~P1(x211)+~P3(x211,x213,x212)+P2(f2(x211,x212),a6)+~E(f2(x211,x213),a5)
% 13.76/13.92 [22]~P1(x221)+P3(x221,x222,x223)+~E(f2(x221,x222),a5)+~P2(f2(x221,x223),a6)
% 13.76/13.92 [23]~P1(x231)+P6(x231,x232)+P6(x231,x233)+P2(f9(x231,x233),f9(x231,x232))+~P2(f3(x231,x232),f3(x231,x233))
% 13.76/13.92 [31]E(x311,x311)
% 13.76/13.92 [32]E(x322,x321)+~E(x321,x322)
% 13.76/13.92 [33]E(x331,x333)+~E(x331,x332)+~E(x332,x333)
% 13.76/13.92 [34]~E(x341,x342)+E(f2(x341,x343),f2(x342,x343))
% 13.76/13.92 [35]~E(x351,x352)+E(f2(x353,x351),f2(x353,x352))
% 13.76/13.92 [36]~E(x361,x362)+E(f3(x361,x363),f3(x362,x363))
% 13.76/13.92 [37]~E(x371,x372)+E(f3(x373,x371),f3(x373,x372))
% 13.76/13.92 [38]~E(x381,x382)+E(f9(x381,x383),f9(x382,x383))
% 13.76/13.92 [39]~E(x391,x392)+E(f9(x393,x391),f9(x393,x392))
% 13.76/13.92 [40]~P1(x401)+P1(x402)+~E(x401,x402)
% 13.76/13.92 [41]P2(x412,x413)+~E(x411,x412)+~P2(x411,x413)
% 13.76/13.92 [42]P2(x423,x422)+~E(x421,x422)+~P2(x423,x421)
% 13.76/13.92 [43]P8(x432,x433)+~E(x431,x432)+~P8(x431,x433)
% 13.76/13.92 [44]P8(x443,x442)+~E(x441,x442)+~P8(x443,x441)
% 13.76/13.92 [45]P3(x452,x453,x454)+~E(x451,x452)+~P3(x451,x453,x454)
% 13.76/13.92 [46]P3(x463,x462,x464)+~E(x461,x462)+~P3(x463,x461,x464)
% 13.76/13.92 [47]P3(x473,x474,x472)+~E(x471,x472)+~P3(x473,x474,x471)
% 13.76/13.92 [48]~P4(x481)+P4(x482)+~E(x481,x482)
% 13.76/13.92 [49]P7(x492,x493)+~E(x491,x492)+~P7(x491,x493)
% 13.76/13.92 [50]P7(x503,x502)+~E(x501,x502)+~P7(x503,x501)
% 13.76/13.92 [51]P6(x512,x513)+~E(x511,x512)+~P6(x511,x513)
% 13.76/13.92 [52]P6(x523,x522)+~E(x521,x522)+~P6(x523,x521)
% 13.76/13.92 [53]P5(x532,x533)+~E(x531,x532)+~P5(x531,x533)
% 13.76/13.92 [54]P5(x543,x542)+~E(x541,x542)+~P5(x543,x541)
% 13.76/13.92 [55]P9(x552,x553)+~E(x551,x552)+~P9(x551,x553)
% 13.76/13.92 [56]P9(x563,x562)+~E(x561,x562)+~P9(x563,x561)
% 13.76/13.92 cnf(57,plain,
% 13.76/13.92 (P8(x571,x571)),
% 13.76/13.92 inference(equality_inference,[],[1])).
% 13.76/13.92 cnf(58,plain,
% 13.76/13.92 (P5(x581,x581)),
% 13.76/13.92 inference(equality_inference,[],[4])).
% 13.76/13.92 cnf(61,plain,
% 13.76/13.92 (~P2(a5,a6)),
% 13.76/13.92 inference(scs_inference,[],[24,25,8,9])).
% 13.76/13.92 cnf(63,plain,
% 13.76/13.93 (E(a5,f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[24,25,28,8,9,32])).
% 13.76/13.93 cnf(67,plain,
% 13.76/13.93 (P2(a6,f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[24,25,26,28,8,9,32,10,41,42])).
% 13.76/13.93 cnf(68,plain,
% 13.76/13.93 (~P6(a1,x681)),
% 13.76/13.93 inference(scs_inference,[],[24,25,29,30,26,28,8,9,32,10,41,42,12])).
% 13.76/13.93 cnf(70,plain,
% 13.76/13.93 (P7(a1,a4)),
% 13.76/13.93 inference(scs_inference,[],[24,25,29,30,26,28,8,9,32,10,41,42,12,19])).
% 13.76/13.93 cnf(72,plain,
% 13.76/13.93 (~E(f2(a1,a8),f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[24,25,29,30,26,28,8,9,32,10,41,42,12,19,33])).
% 13.76/13.93 cnf(74,plain,
% 13.76/13.93 (P8(x741,x741)),
% 13.76/13.93 inference(rename_variables,[],[57])).
% 13.76/13.93 cnf(78,plain,
% 13.76/13.93 (P5(x781,x781)),
% 13.76/13.93 inference(rename_variables,[],[58])).
% 13.76/13.93 cnf(81,plain,
% 13.76/13.93 (P3(a1,a4,a8)),
% 13.76/13.93 inference(scs_inference,[],[24,25,29,30,26,28,57,74,58,78,8,9,32,10,41,42,12,19,33,43,44,53,54,22])).
% 13.76/13.93 cnf(88,plain,
% 13.76/13.93 (E(f2(a1,a7),a6)+P9(f2(a1,a7),a6)),
% 13.76/13.93 inference(scs_inference,[],[24,25,29,30,26,27,28,57,74,58,78,8,9,32,10,41,42,12,19,33,43,44,53,54,22,35,11,17,3])).
% 13.76/13.93 cnf(96,plain,
% 13.76/13.93 (~P2(a6,f2(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[26,9])).
% 13.76/13.93 cnf(100,plain,
% 13.76/13.93 (~P2(a5,f2(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[26,61,9,8,10])).
% 13.76/13.93 cnf(106,plain,
% 13.76/13.93 (P7(a1,x1061)+~E(a4,x1061)),
% 13.76/13.93 inference(scs_inference,[],[25,26,61,70,9,8,10,42,49,11,50])).
% 13.76/13.93 cnf(107,plain,
% 13.76/13.93 (P9(f2(a1,a4),f2(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[25,26,61,63,70,9,8,10,42,49,11,50,55])).
% 13.76/13.93 cnf(114,plain,
% 13.76/13.93 (~P2(f2(a1,a4),a6)),
% 13.76/13.93 inference(scs_inference,[],[67,9])).
% 13.76/13.93 cnf(118,plain,
% 13.76/13.93 (P2(f2(a1,a8),f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[26,67,96,9,8,10])).
% 13.76/13.93 cnf(120,plain,
% 13.76/13.93 (~E(f2(a1,a4),f2(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[26,67,96,9,8,10,42])).
% 13.76/13.93 cnf(131,plain,
% 13.76/13.93 (~P2(f2(a1,a4),f2(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[118,100,8,9])).
% 13.76/13.93 cnf(138,plain,
% 13.76/13.93 (~P9(a6,f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[114,8])).
% 13.76/13.93 cnf(151,plain,
% 13.76/13.93 (~P9(f2(a1,a8),f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[131,8])).
% 13.76/13.93 cnf(185,plain,
% 13.76/13.93 (P6(a1,a8)+~P2(f3(a1,a7),f3(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[24,30,68,23])).
% 13.76/13.93 cnf(188,plain,
% 13.76/13.93 (~P9(f3(a1,a8),f3(a1,a7))+P6(a1,a8)),
% 13.76/13.93 inference(scs_inference,[],[24,30,68,23,8])).
% 13.76/13.93 cnf(191,plain,
% 13.76/13.93 (~P2(f3(a1,a7),f3(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[68,185])).
% 13.76/13.93 cnf(192,plain,
% 13.76/13.93 (~P9(f3(a1,a8),f3(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[68,188])).
% 13.76/13.93 cnf(198,plain,
% 13.76/13.93 (~P7(a1,a7)+P7(a1,a8)),
% 13.76/13.93 inference(scs_inference,[],[30,191,20])).
% 13.76/13.93 cnf(200,plain,
% 13.76/13.93 (~P3(a1,a7,a7)+P7(a1,a8)),
% 13.76/13.93 inference(scs_inference,[],[30,191,20,16])).
% 13.76/13.93 cnf(203,plain,
% 13.76/13.93 (P8(f2(a1,a4),f2(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[107,2])).
% 13.76/13.93 cnf(205,plain,
% 13.76/13.93 (P5(f2(a1,a8),f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[118,107,2,5])).
% 13.76/13.93 cnf(207,plain,
% 13.76/13.93 (P9(f2(a1,a4),a6)),
% 13.76/13.93 inference(scs_inference,[],[118,107,67,2,5,7])).
% 13.76/13.93 cnf(219,plain,
% 13.76/13.93 (P2(f3(a1,a4),f3(a1,a8))),
% 13.76/13.93 inference(scs_inference,[],[151,120,72,131,118,107,67,30,63,81,70,2,5,7,17,6,3,44,53,14,20])).
% 13.76/13.93 cnf(221,plain,
% 13.76/13.93 (~P7(a1,a7)),
% 13.76/13.93 inference(scs_inference,[],[151,120,72,131,118,107,67,30,63,81,70,2,5,7,17,6,3,44,53,14,20,198])).
% 13.76/13.93 cnf(230,plain,
% 13.76/13.93 (~E(a4,a7)),
% 13.76/13.93 inference(scs_inference,[],[151,120,72,131,191,118,107,67,30,63,81,70,2,5,7,17,6,3,44,53,14,20,198,200,9,51,19,10,106])).
% 13.76/13.93 cnf(231,plain,
% 13.76/13.93 (~E(a5,f2(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[151,120,72,131,191,118,107,67,30,63,81,70,2,5,7,17,6,3,44,53,14,20,198,200,9,51,19,10,106,32])).
% 13.76/13.93 cnf(240,plain,
% 13.76/13.93 (~E(f2(a1,a4),f2(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[207,219,231,63,2,5,7,33])).
% 13.76/13.93 cnf(242,plain,
% 13.76/13.93 (P3(a1,a4,a7)),
% 13.76/13.93 inference(scs_inference,[],[221,207,219,231,192,30,63,70,2,5,7,33,56,15])).
% 13.76/13.93 cnf(246,plain,
% 13.76/13.93 (P2(f3(a1,a4),f3(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[221,207,219,231,192,30,63,70,2,5,7,33,56,15,14,20])).
% 13.76/13.93 cnf(251,plain,
% 13.76/13.93 (P9(a5,a6)),
% 13.76/13.93 inference(scs_inference,[],[221,207,219,203,205,231,192,68,30,63,70,28,2,5,7,33,56,15,14,20,51,43,54,55])).
% 13.76/13.93 cnf(258,plain,
% 13.76/13.93 (P9(f3(a1,a7),f3(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[251,246,2,5,7])).
% 13.76/13.93 cnf(261,plain,
% 13.76/13.93 (P2(f2(a1,a7),a6)),
% 13.76/13.93 inference(scs_inference,[],[251,230,242,246,30,28,2,5,7,32,21])).
% 13.76/13.93 cnf(263,plain,
% 13.76/13.93 (~P2(a6,f2(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[251,230,242,246,30,28,2,5,7,32,21,9])).
% 13.76/13.93 cnf(266,plain,
% 13.76/13.93 (P2(f2(a1,a7),f2(a1,a4))),
% 13.76/13.93 inference(scs_inference,[],[251,230,242,246,67,30,28,2,5,7,32,21,9,51,10])).
% 13.76/13.93 cnf(274,plain,
% 13.76/13.93 (P9(f2(a1,a4),f2(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[258,266,2,5,7])).
% 13.76/13.93 cnf(284,plain,
% 13.76/13.93 (P2(f2(a1,a7),a5)),
% 13.76/13.93 inference(scs_inference,[],[258,266,240,261,138,61,28,2,5,7,9,6,10,3,42])).
% 13.76/13.93 cnf(306,plain,
% 13.76/13.93 (P9(a5,f2(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[274,284,2,5,7])).
% 13.76/13.93 cnf(323,plain,
% 13.76/13.93 (P9(a6,f2(a1,a7))),
% 13.76/13.93 inference(scs_inference,[],[306,261,2,5,7])).
% 13.76/13.93 cnf(402,plain,
% 13.76/13.93 (~P9(f2(a1,a7),a6)),
% 13.76/13.93 inference(scs_inference,[],[263,8])).
% 13.76/13.93 cnf(414,plain,
% 13.76/13.93 (E(f2(a1,a7),a6)),
% 13.76/13.93 inference(scs_inference,[],[402,88])).
% 13.76/13.93 cnf(424,plain,
% 13.76/13.93 ($false),
% 13.76/13.93 inference(scs_inference,[],[414,323,263,41,56,8,9]),
% 13.76/13.93 ['proof']).
% 13.76/13.93 % SZS output end Proof
% 13.76/13.93 % Total time : 13.220000 s
%------------------------------------------------------------------------------