TSTP Solution File: ITP023+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ITP023+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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 : Thu Aug 31 03:11:05 EDT 2023

% Result   : Theorem 0.21s 0.63s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ITP023+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 10:20:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.63  % Version  : CSE_E---1.5
% 0.21/0.63  % Problem  : theBenchmark.p
% 0.21/0.63  % Proof found
% 0.21/0.63  % SZS status Theorem for theBenchmark.p
% 0.21/0.63  % SZS output start Proof
% 0.21/0.63  [5]~P1(f5(a1,a4))
% 0.21/0.63  [58]P1(f5(a1,a2))
% 0.21/0.63  [278]~P1(f5(a1,f28(f5(f40(a41,a1),f27(f5(f42(a41,a41),f24(f5(a41,a33),f5(a41,a39))))))))
% 0.21/0.63  [42]E(f5(a1,f3(f5(f40(f40(a41,a1),a1),a7),f5(f40(a41,a1),x421))),f5(a1,f28(f5(f40(a41,a1),x421))))
% 0.21/0.63  [44]E(f5(f40(a41,a1),f3(f5(f40(f42(a41,a41),f40(a41,a1)),a14),f5(f42(a41,a41),x441))),f5(f40(a41,a1),f27(f5(f42(a41,a41),x441))))
% 0.21/0.63  [45]E(f5(f40(a41,a1),f3(f5(f40(f42(a41,a41),f40(a41,a1)),a29),f5(f42(a41,a41),x451))),f5(f40(a41,a1),f30(f5(f42(a41,a41),x451))))
% 0.21/0.63  [7]E(f5(x71,f3(f5(f40(x71,x71),a6),f5(x71,x72))),f5(x71,x72))
% 0.21/0.63  [43]E(f5(f42(a41,a41),f3(f5(f40(a41,f42(a41,a41)),f3(f5(f40(a41,f40(a41,f42(a41,a41))),a15),f5(a41,x431))),f5(a41,x432))),f5(f42(a41,a41),f24(f5(a41,x431),f5(a41,x432))))
% 0.21/0.63  [40]E(f5(a1,f3(f5(f40(f40(x401,a1),a1),a8),f5(f40(x401,a1),x402))),f5(a1,f9(f5(f40(x401,a1),x402))))
% 0.21/0.63  [41]E(f5(a1,f3(f5(f40(f40(x411,a1),a1),a10),f5(f40(x411,a1),x412))),f5(a1,f13(f5(f40(x411,a1),x412))))
% 0.21/0.63  [46]E(f5(a1,f3(f5(f40(f40(a41,a1),a1),f3(f5(f40(f40(a41,a1),f40(f40(a41,a1),a1)),a25),f5(f40(a41,a1),x461))),f5(f40(a41,a1),x462))),f5(a1,f26(f5(f40(a41,a1),x461),f5(f40(a41,a1),x462))))
% 0.21/0.63  [97]P1(f5(a1,f26(f5(f40(a41,a1),f27(f5(f42(a41,a41),f24(f5(a41,x971),f5(a41,x972))))),f5(f40(a41,a1),f30(f5(f42(a41,a41),f24(f5(a41,x971),f5(a41,x972))))))))
% 0.21/0.63  [99]P1(f5(a1,f28(f5(f40(a41,a1),f30(f5(f42(a41,a41),f24(f5(a41,x991),f5(a41,x992))))))))
% 0.21/0.63  [8]E(f5(x81,f3(f5(f40(x82,x81),f3(f5(f40(x81,f40(x82,x81)),a31),f5(x81,x83))),f5(x82,x84))),f5(x81,x83))
% 0.21/0.63  [9]E(f5(x91,f3(f5(f40(x92,x91),f3(f5(f40(f40(x92,x93),f40(x92,x91)),f3(f5(f40(f40(x92,f40(x93,x91)),f40(f40(x92,x93),f40(x92,x91))),a32),f5(f40(x92,f40(x93,x91)),x94))),f5(f40(x92,x93),x95))),f5(x92,x96))),f5(x91,f3(f5(f40(x93,x91),f3(f5(f40(x92,f40(x93,x91)),x94),f5(x92,x96))),f5(x93,f3(f5(f40(x92,x93),x95),f5(x92,x96))))))
% 0.21/0.63  [6]E(f5(a1,x61),f5(a1,a2))+E(f5(a1,x61),f5(a1,a4))
% 0.21/0.63  [74]E(f5(a1,x741),f5(a1,a4))+P1(f5(a1,x741))
% 0.21/0.63  [75]~E(f5(a1,x751),f5(a1,a4))+~P1(f5(a1,x751))
% 0.21/0.63  [76]E(f5(a1,a4),f5(a1,x761))+P1(f5(a1,x761))
% 0.21/0.63  [77]~E(f5(a1,a4),f5(a1,x771))+~P1(f5(a1,x771))
% 0.21/0.63  [78]E(f5(a1,x781),f5(a1,a2))+~P1(f5(a1,x781))
% 0.21/0.63  [79]~E(f5(a1,x791),f5(a1,a2))+P1(f5(a1,x791))
% 0.21/0.63  [80]E(f5(a1,a2),f5(a1,x801))+~P1(f5(a1,x801))
% 0.21/0.63  [81]~E(f5(a1,a2),f5(a1,x811))+P1(f5(a1,x811))
% 0.21/0.63  [16]P1(f5(a1,x161))+P1(f5(a1,f16(f5(a1,x161))))
% 0.21/0.63  [17]~P1(f5(a1,x171))+~P1(f5(a1,f16(f5(a1,x171))))
% 0.21/0.63  [33]~P1(f5(a1,x331))+~P1(f5(a1,f3(f5(f40(a1,a1),a19),f5(a1,x331))))
% 0.21/0.63  [34]P1(f5(a1,x341))+P1(f5(a1,f3(f5(f40(a1,a1),a19),f5(a1,x341))))
% 0.21/0.63  [11]P1(f5(a1,x111))+~P1(f5(a1,f11(f5(a1,x112),f5(a1,x111))))
% 0.21/0.63  [12]P1(f5(a1,x121))+~P1(f5(a1,f11(f5(a1,x121),f5(a1,x122))))
% 0.21/0.63  [13]~P1(f5(a1,x132))+P1(f5(a1,f17(f5(a1,x131),f5(a1,x132))))
% 0.21/0.63  [14]~P1(f5(a1,x141))+P1(f5(a1,f17(f5(a1,x141),f5(a1,x142))))
% 0.21/0.63  [18]~P1(f5(a1,x182))+P1(f5(a1,f20(f5(a1,x181),f5(a1,x182))))
% 0.21/0.63  [19]P1(f5(a1,x191))+P1(f5(a1,f20(f5(a1,x191),f5(a1,x192))))
% 0.21/0.63  [27]P1(f5(a1,x271))+~P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a12),f5(a1,x272))),f5(a1,x271))))
% 0.21/0.63  [28]P1(f5(a1,x281))+~P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a12),f5(a1,x281))),f5(a1,x282))))
% 0.21/0.63  [31]~P1(f5(a1,x312))+P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a18),f5(a1,x311))),f5(a1,x312))))
% 0.21/0.63  [32]~P1(f5(a1,x321))+P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a18),f5(a1,x321))),f5(a1,x322))))
% 0.21/0.63  [36]~P1(f5(a1,x362))+P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a23),f5(a1,x361))),f5(a1,x362))))
% 0.21/0.63  [37]P1(f5(a1,x371))+P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a23),f5(a1,x371))),f5(a1,x372))))
% 0.21/0.63  [23]~P1(f5(a1,f3(f5(f40(x231,a1),x232),f5(x231,f35(x231,x232)))))+P1(f5(a1,f9(f5(f40(x231,a1),x232))))
% 0.21/0.63  [26]P1(f5(a1,f3(f5(f40(x261,a1),x262),f5(x261,f34(x261,x262)))))+~P1(f5(a1,f13(f5(f40(x261,a1),x262))))
% 0.21/0.63  [21]~E(f5(x211,x212),f5(x211,x213))+P1(f5(a1,f21(f5(x211,x212),f5(x211,x213))))
% 0.21/0.63  [22]E(f5(x221,x222),f5(x221,x223))+~P1(f5(a1,f21(f5(x221,x222),f5(x221,x223))))
% 0.21/0.63  [38]E(f5(x381,x382),f5(x381,x383))+~P1(f5(a1,f3(f5(f40(x381,a1),f3(f5(f40(x381,f40(x381,a1)),a22),f5(x381,x382))),f5(x381,x383))))
% 0.21/0.63  [39]~E(f5(x391,x392),f5(x391,x393))+P1(f5(a1,f3(f5(f40(x391,a1),f3(f5(f40(x391,f40(x391,a1)),a22),f5(x391,x392))),f5(x391,x393))))
% 0.21/0.63  [24]P1(f5(a1,f3(f5(f40(x241,a1),x242),f5(x241,x243))))+~P1(f5(a1,f9(f5(f40(x241,a1),x242))))
% 0.21/0.63  [25]~P1(f5(a1,f3(f5(f40(x251,a1),x252),f5(x251,x253))))+P1(f5(a1,f13(f5(f40(x251,a1),x252))))
% 0.21/0.63  [82]P1(f5(a1,f3(f5(f40(x821,a1),x822),f5(x821,x823))))+~P1(f5(a1,f3(f5(f40(x821,a1),x822),f5(x821,f38(x821,x822)))))
% 0.21/0.63  [83]P1(f5(a1,f3(f5(f40(x831,a1),x832),f5(x831,x833))))+~P1(f5(a1,f3(f5(f40(x831,a1),x832),f5(x831,f37(x831,x832)))))
% 0.21/0.63  [1]E(f5(f40(x11,x12),x13),f5(f40(x11,x12),x14))+~E(f5(x12,f3(f5(f40(x11,x12),x13),f5(x11,f36(x11,x12,x13,x14)))),f5(x12,f3(f5(f40(x11,x12),x14),f5(x11,f36(x11,x12,x13,x14)))))
% 0.21/0.63  [48]E(f5(a1,x481),f5(a1,x482))+~P1(f5(a1,x481))+~P1(f5(a1,x482))
% 0.21/0.63  [51]E(f5(a1,x511),f5(a1,x512))+P1(f5(a1,x511))+P1(f5(a1,x512))
% 0.21/0.63  [10]~P1(f5(a1,x101))+~P1(f5(a1,x102))+P1(f5(a1,f11(f5(a1,x101),f5(a1,x102))))
% 0.21/0.63  [15]P1(f5(a1,x151))+P1(f5(a1,x152))+~P1(f5(a1,f17(f5(a1,x152),f5(a1,x151))))
% 0.21/0.63  [20]P1(f5(a1,x201))+~P1(f5(a1,x202))+~P1(f5(a1,f20(f5(a1,x202),f5(a1,x201))))
% 0.21/0.63  [29]~P1(f5(a1,x291))+~P1(f5(a1,x292))+P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a12),f5(a1,x291))),f5(a1,x292))))
% 0.21/0.63  [30]P1(f5(a1,x301))+P1(f5(a1,x302))+~P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a18),f5(a1,x302))),f5(a1,x301))))
% 0.21/0.63  [35]P1(f5(a1,x351))+~P1(f5(a1,x352))+~P1(f5(a1,f3(f5(f40(a1,a1),f3(f5(f40(a1,f40(a1,a1)),a23),f5(a1,x352))),f5(a1,x351))))
% 0.21/0.63  [98]P1(f5(a1,f28(f5(f40(a41,a1),x981))))+~P1(f5(a1,f26(f5(f40(a41,a1),x981),f5(f40(a41,a1),x982))))+~P1(f5(a1,f28(f5(f40(a41,a1),x982))))
% 0.21/0.63  [121]~P2(x1211,x1212,x1213)+~E(f5(a1,x1212),f5(a1,x1213))+P1(f5(a1,x1211))
% 0.21/0.63  [128]P2(x1283,x1281,x1282)+E(f5(a1,x1281),f5(a1,x1282))+P1(f5(a1,x1283))
% 0.21/0.63  [130]P2(x1301,x1302,x1303)+~E(f5(a1,x1302),f5(a1,x1303))+~P1(f5(a1,x1301))
% 0.21/0.63  [293]P2(x2931,x2932,x2933)+P1(f5(a1,x2933))+~P1(f5(a1,x2932))
% 0.21/0.63  [304]P2(x3041,x3042,x3043)+P1(f5(a1,x3043))+~P1(f5(a1,x3041))
% 0.21/0.63  [305]P2(x3051,x3052,x3053)+~P1(f5(a1,x3051))+~P1(f5(a1,x3052))
% 0.21/0.63  [124]~P2(x1243,x1241,x1242)+E(f5(a1,x1241),f5(a1,x1242))+P1(f5(a1,x1241))+~P1(f5(a1,x1243))
% 0.21/0.63  [126]~P2(x1263,x1261,x1262)+E(f5(a1,x1261),f5(a1,x1262))+~P1(f5(a1,x1262))+~P1(f5(a1,x1263))
% 0.21/0.63  [279]P2(x2791,x2792,x2793)+P1(f5(a1,x2792))+P1(f5(a1,x2791))+~P1(f5(a1,x2793))
% 0.21/0.63  [306]~P2(x3062,x3061,x3063)+~P1(f5(a1,x3062))+~P1(f5(a1,x3063))+P1(f5(a1,x3061))
% 0.21/0.63  [307]~P2(x3071,x3072,x3073)+~P1(f5(a1,x3072))+~P1(f5(a1,x3073))+P1(f5(a1,x3071))
% 0.21/0.63  [308]~P2(x3083,x3082,x3081)+P1(f5(a1,x3081))+P1(f5(a1,x3082))+P1(f5(a1,x3083))
% 0.21/0.63  [309]E(x3091,x3091)
% 0.21/0.63  [310]E(x3102,x3101)+~E(x3101,x3102)
% 0.21/0.63  [311]E(x3111,x3113)+~E(x3111,x3112)+~E(x3112,x3113)
% 0.21/0.63  [312]~E(x3121,x3122)+E(f5(x3121,x3123),f5(x3122,x3123))
% 0.21/0.63  [313]~E(x3131,x3132)+E(f5(x3133,x3131),f5(x3133,x3132))
% 0.21/0.63  [314]~E(x3141,x3142)+E(f3(x3141,x3143),f3(x3142,x3143))
% 0.21/0.63  [315]~E(x3151,x3152)+E(f3(x3153,x3151),f3(x3153,x3152))
% 0.21/0.63  [316]~E(x3161,x3162)+E(f36(x3161,x3163,x3164,x3165),f36(x3162,x3163,x3164,x3165))
% 0.21/0.63  [317]~E(x3171,x3172)+E(f36(x3173,x3171,x3174,x3175),f36(x3173,x3172,x3174,x3175))
% 0.21/0.63  [318]~E(x3181,x3182)+E(f36(x3183,x3184,x3181,x3185),f36(x3183,x3184,x3182,x3185))
% 0.21/0.63  [319]~E(x3191,x3192)+E(f36(x3193,x3194,x3195,x3191),f36(x3193,x3194,x3195,x3192))
% 0.21/0.63  [320]~E(x3201,x3202)+E(f40(x3201,x3203),f40(x3202,x3203))
% 0.21/0.63  [321]~E(x3211,x3212)+E(f40(x3213,x3211),f40(x3213,x3212))
% 0.21/0.63  [322]~E(x3221,x3222)+E(f38(x3221,x3223),f38(x3222,x3223))
% 0.21/0.63  [323]~E(x3231,x3232)+E(f38(x3233,x3231),f38(x3233,x3232))
% 0.21/0.63  [324]~E(x3241,x3242)+E(f16(x3241),f16(x3242))
% 0.21/0.63  [325]~E(x3251,x3252)+E(f42(x3251,x3253),f42(x3252,x3253))
% 0.21/0.63  [326]~E(x3261,x3262)+E(f42(x3263,x3261),f42(x3263,x3262))
% 0.21/0.63  [327]~E(x3271,x3272)+E(f37(x3271,x3273),f37(x3272,x3273))
% 0.21/0.63  [328]~E(x3281,x3282)+E(f37(x3283,x3281),f37(x3283,x3282))
% 0.21/0.63  [329]~E(x3291,x3292)+E(f28(x3291),f28(x3292))
% 0.21/0.63  [330]~E(x3301,x3302)+E(f17(x3301,x3303),f17(x3302,x3303))
% 0.21/0.63  [331]~E(x3311,x3312)+E(f17(x3313,x3311),f17(x3313,x3312))
% 0.21/0.63  [332]~E(x3321,x3322)+E(f26(x3321,x3323),f26(x3322,x3323))
% 0.21/0.63  [333]~E(x3331,x3332)+E(f26(x3333,x3331),f26(x3333,x3332))
% 0.21/0.63  [334]~E(x3341,x3342)+E(f30(x3341),f30(x3342))
% 0.21/0.63  [335]~E(x3351,x3352)+E(f24(x3351,x3353),f24(x3352,x3353))
% 0.21/0.63  [336]~E(x3361,x3362)+E(f24(x3363,x3361),f24(x3363,x3362))
% 0.21/0.63  [337]~E(x3371,x3372)+E(f13(x3371),f13(x3372))
% 0.21/0.63  [338]~E(x3381,x3382)+E(f20(x3381,x3383),f20(x3382,x3383))
% 0.21/0.63  [339]~E(x3391,x3392)+E(f20(x3393,x3391),f20(x3393,x3392))
% 0.21/0.63  [340]~E(x3401,x3402)+E(f9(x3401),f9(x3402))
% 0.21/0.63  [341]~E(x3411,x3412)+E(f11(x3411,x3413),f11(x3412,x3413))
% 0.21/0.63  [342]~E(x3421,x3422)+E(f11(x3423,x3421),f11(x3423,x3422))
% 0.21/0.63  [343]~E(x3431,x3432)+E(f27(x3431),f27(x3432))
% 0.21/0.63  [344]~E(x3441,x3442)+E(f34(x3441,x3443),f34(x3442,x3443))
% 0.21/0.63  [345]~E(x3451,x3452)+E(f34(x3453,x3451),f34(x3453,x3452))
% 0.21/0.63  [346]~E(x3461,x3462)+E(f21(x3461,x3463),f21(x3462,x3463))
% 0.21/0.63  [347]~E(x3471,x3472)+E(f21(x3473,x3471),f21(x3473,x3472))
% 0.21/0.63  [348]~E(x3481,x3482)+E(f35(x3481,x3483),f35(x3482,x3483))
% 0.21/0.63  [349]~E(x3491,x3492)+E(f35(x3493,x3491),f35(x3493,x3492))
% 0.21/0.63  [350]~P1(x3501)+P1(x3502)+~E(x3501,x3502)
% 0.21/0.63  [351]P2(x3512,x3513,x3514)+~E(x3511,x3512)+~P2(x3511,x3513,x3514)
% 0.21/0.63  [352]P2(x3523,x3522,x3524)+~E(x3521,x3522)+~P2(x3523,x3521,x3524)
% 0.21/0.63  [353]P2(x3533,x3534,x3532)+~E(x3531,x3532)+~P2(x3533,x3534,x3531)
% 0.21/0.63  cnf(363,plain,
% 0.21/0.63     ($false),
% 0.21/0.63     inference(scs_inference,[],[278,97,99,98]),
% 0.21/0.63     ['proof']).
% 0.21/0.63  % SZS output end Proof
% 0.21/0.63  % Total time : 0.000000 s
%------------------------------------------------------------------------------