TSTP Solution File: SWW950+1 by CSE_E---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.6
% Problem : SWW950+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 08:38:24 EDT 2024
% Result : Theorem 25.04s 25.15s
% Output : CNFRefutation 25.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWW950+1 : TPTP v8.2.0. Released v7.4.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Jun 17 17:04:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 25.04/25.15 % Version : CSE_E---1.6
% 25.04/25.15 % Problem : theBenchmark.p
% 25.04/25.15 % Proof found
% 25.04/25.15 % SZS status Theorem for theBenchmark.p
% 25.04/25.15 % SZS output start Proof
% 25.04/25.15 [1]~E(a2,a1)
% 25.04/25.15 [2]~E(a3,a1)
% 25.04/25.15 [3]~E(a4,a1)
% 25.04/25.15 [4]~E(a5,a1)
% 25.04/25.15 [5]~E(a1,a6)
% 25.04/25.15 [6]~E(a7,a1)
% 25.04/25.16 [7]~E(a13,a1)
% 25.04/25.16 [8]~E(a14,a1)
% 25.04/25.16 [9]~E(a15,a1)
% 25.04/25.16 [10]~E(a3,a2)
% 25.04/25.16 [11]~E(a4,a2)
% 25.04/25.16 [12]~E(a5,a2)
% 25.04/25.16 [13]~E(a2,a6)
% 25.04/25.16 [14]~E(a7,a2)
% 25.04/25.16 [15]~E(a13,a2)
% 25.04/25.16 [16]~E(a14,a2)
% 25.04/25.16 [17]~E(a15,a2)
% 25.04/25.16 [18]~E(a4,a3)
% 25.04/25.16 [19]~E(a5,a3)
% 25.04/25.16 [20]~E(a3,a6)
% 25.04/25.16 [21]~E(a7,a3)
% 25.04/25.16 [22]~E(a13,a3)
% 25.04/25.16 [23]~E(a14,a3)
% 25.04/25.16 [24]~E(a15,a3)
% 25.04/25.16 [25]~E(a5,a4)
% 25.04/25.16 [26]~E(a4,a6)
% 25.04/25.16 [27]~E(a7,a4)
% 25.04/25.16 [28]~E(a13,a4)
% 25.04/25.16 [29]~E(a14,a4)
% 25.04/25.16 [30]~E(a15,a4)
% 25.04/25.16 [31]~E(a5,a6)
% 25.04/25.16 [32]~E(a7,a5)
% 25.04/25.16 [33]~E(a13,a5)
% 25.04/25.16 [34]~E(a14,a5)
% 25.04/25.16 [35]~E(a15,a5)
% 25.04/25.16 [36]~E(a7,a6)
% 25.04/25.16 [37]~E(a13,a6)
% 25.04/25.16 [38]~E(a14,a6)
% 25.04/25.16 [39]~E(a15,a6)
% 25.04/25.16 [40]~E(a13,a7)
% 25.04/25.16 [41]~E(a14,a7)
% 25.04/25.16 [42]~E(a15,a7)
% 25.04/25.16 [43]~E(a14,a13)
% 25.04/25.16 [44]~E(a15,a13)
% 25.04/25.16 [45]~E(a15,a14)
% 25.04/25.16 [51]P1(a10)
% 25.04/25.16 [53]P1(a11)
% 25.04/25.16 [54]P1(a6)
% 25.04/25.16 [64]P1(a5)
% 25.04/25.16 [65]P1(a4)
% 25.04/25.16 [66]P1(a3)
% 25.04/25.16 [67]P1(a2)
% 25.04/25.16 [68]P1(a1)
% 25.04/25.16 [71]P1(a7)
% 25.04/25.16 [76]~P1(a15)
% 25.04/25.16 [72]P2(x721,x721)
% 25.04/25.16 [46]E(f8(x461,x461),a6)
% 25.04/25.16 [47]E(f8(x471,a6),x471)
% 25.04/25.16 [73]P1(f12(x731))
% 25.04/25.16 [48]E(f8(x481,x482),f8(x482,x481))
% 25.04/25.16 [49]E(f8(f8(x491,x492),x493),f8(x491,f8(x492,x493)))
% 25.04/25.16 [52]~P1(x521)+P1(f9(x521))
% 25.04/25.16 [55]~P1(x551)+P1(f16(x551))
% 25.04/25.16 [56]P1(x561)+~P1(f16(x561))
% 25.04/25.16 [57]~P1(x571)+P1(f17(x571))
% 25.04/25.16 [58]P1(x581)+~P1(f17(x581))
% 25.04/25.16 [62]~P1(x621)+P1(f18(x621))
% 25.04/25.16 [63]P1(x631)+~P1(f18(x631))
% 25.04/25.16 [74]~P1(f18(x741))+P1(f17(f9(f8(x741,f8(a13,a14)))))
% 25.04/25.16 [60]P1(x601)+~P1(f19(x601,x602))
% 25.04/25.16 [61]P1(x611)+~P1(f19(x612,x611))
% 25.04/25.16 [69]~P3(x692,x691)+P1(x691)+~P1(x692)
% 25.04/25.16 [70]~P1(x702)+~P1(x701)+P3(x701,x702)
% 25.04/25.16 [50]~P1(x502)+~P1(x501)+P1(f8(x501,x502))
% 25.04/25.16 [59]~P1(x592)+~P1(x591)+P1(f19(x591,x592))
% 25.04/25.16 [75]~P1(f18(x751))+P1(f16(a15))+~P1(f19(x752,f9(f8(x752,f8(a13,a14)))))
% 25.04/25.16 [77]E(x771,x771)
% 25.04/25.16 [78]E(x782,x781)+~E(x781,x782)
% 25.04/25.16 [79]E(x791,x793)+~E(x791,x792)+~E(x792,x793)
% 25.04/25.16 [80]~E(x801,x802)+E(f12(x801),f12(x802))
% 25.04/25.16 [81]~E(x811,x812)+E(f8(x811,x813),f8(x812,x813))
% 25.04/25.16 [82]~E(x821,x822)+E(f8(x823,x821),f8(x823,x822))
% 25.04/25.16 [83]~E(x831,x832)+E(f19(x831,x833),f19(x832,x833))
% 25.04/25.16 [84]~E(x841,x842)+E(f19(x843,x841),f19(x843,x842))
% 25.04/25.16 [85]~E(x851,x852)+E(f9(x851),f9(x852))
% 25.04/25.16 [86]~E(x861,x862)+E(f18(x861),f18(x862))
% 25.04/25.16 [87]~E(x871,x872)+E(f16(x871),f16(x872))
% 25.04/25.16 [88]~E(x881,x882)+E(f17(x881),f17(x882))
% 25.04/25.16 [89]~P1(x891)+P1(x892)+~E(x891,x892)
% 25.04/25.16 [90]P3(x902,x903)+~E(x901,x902)+~P3(x901,x903)
% 25.04/25.16 [91]P3(x913,x912)+~E(x911,x912)+~P3(x913,x911)
% 25.04/25.16 [92]P2(x922,x923)+~E(x921,x922)+~P2(x921,x923)
% 25.04/25.16 [93]P2(x933,x932)+~E(x931,x932)+~P2(x933,x931)
% 25.04/25.16 cnf(94,plain,
% 25.04/25.16 (E(x941,f8(x941,a6))),
% 25.04/25.16 inference(scs_inference,[],[47,78])).
% 25.04/25.16 cnf(95,plain,
% 25.04/25.16 (~P3(a10,a15)),
% 25.04/25.16 inference(scs_inference,[],[76,47,51,78,69])).
% 25.04/25.16 cnf(98,plain,
% 25.04/25.16 (E(f8(x981,a6),x981)),
% 25.04/25.16 inference(rename_variables,[],[47])).
% 25.04/25.16 cnf(101,plain,
% 25.04/25.16 (P2(f8(x1011,x1012),f8(x1012,x1011))),
% 25.04/25.16 inference(scs_inference,[],[76,48,47,98,51,72,1,78,69,89,79,92])).
% 25.04/25.16 cnf(103,plain,
% 25.04/25.16 (E(a6,f8(x1031,x1031))),
% 25.04/25.16 inference(scs_inference,[],[46,78])).
% 25.04/25.16 cnf(105,plain,
% 25.04/25.16 (E(x1051,f8(x1051,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(108,plain,
% 25.04/25.16 (P1(f8(a11,a6))),
% 25.04/25.16 inference(scs_inference,[],[76,101,94,105,53,46,78,93,69,89])).
% 25.04/25.16 cnf(109,plain,
% 25.04/25.16 (E(x1091,f8(x1091,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(111,plain,
% 25.04/25.16 (P2(f8(f8(x1111,x1112),a6),f8(x1112,x1111))),
% 25.04/25.16 inference(scs_inference,[],[76,101,94,105,109,53,46,5,78,93,69,89,79,92])).
% 25.04/25.16 cnf(113,plain,
% 25.04/25.16 (E(f8(x1131,f8(x1132,x1133)),f8(f8(x1131,x1132),x1133))),
% 25.04/25.16 inference(scs_inference,[],[49,78])).
% 25.04/25.16 cnf(117,plain,
% 25.04/25.16 (P2(f8(f8(x1171,x1172),a6),f8(x1172,x1171))),
% 25.04/25.16 inference(rename_variables,[],[111])).
% 25.04/25.16 cnf(118,plain,
% 25.04/25.16 (P1(f8(x1181,x1181))),
% 25.04/25.16 inference(scs_inference,[],[76,108,111,103,54,49,78,69,93,89])).
% 25.04/25.16 cnf(119,plain,
% 25.04/25.16 (P2(f8(x1191,f8(x1192,a6)),f8(x1192,x1191))),
% 25.04/25.16 inference(scs_inference,[],[76,108,111,117,103,54,49,78,69,93,89,92])).
% 25.04/25.16 cnf(129,plain,
% 25.04/25.16 (P1(f8(f8(f8(x1291,x1292),x1291),x1292))),
% 25.04/25.16 inference(scs_inference,[],[76,118,113,119,69,93,89])).
% 25.04/25.16 cnf(132,plain,
% 25.04/25.16 (P2(f8(f8(f8(x1321,x1322),a6),a6),f8(x1322,x1321))),
% 25.04/25.16 inference(scs_inference,[],[76,118,113,119,94,111,69,93,89,92])).
% 25.04/25.16 cnf(140,plain,
% 25.04/25.16 (P2(f8(f8(f8(x1401,x1402),a6),a6),f8(x1402,x1401))),
% 25.04/25.16 inference(rename_variables,[],[132])).
% 25.04/25.16 cnf(141,plain,
% 25.04/25.16 (P1(f8(x1411,f8(f8(x1412,x1411),x1412)))),
% 25.04/25.16 inference(scs_inference,[],[76,129,132,48,69,93,89])).
% 25.04/25.16 cnf(142,plain,
% 25.04/25.16 (E(f8(x1421,x1422),f8(x1422,x1421))),
% 25.04/25.16 inference(rename_variables,[],[48])).
% 25.04/25.16 cnf(143,plain,
% 25.04/25.16 (P2(f8(a6,f8(f8(x1431,x1432),a6)),f8(x1432,x1431))),
% 25.04/25.16 inference(scs_inference,[],[76,129,132,140,48,142,69,93,89,92])).
% 25.04/25.16 cnf(150,plain,
% 25.04/25.16 (P2(f8(a6,f8(f8(x1501,x1502),a6)),f8(x1502,x1501))),
% 25.04/25.16 inference(rename_variables,[],[143])).
% 25.04/25.16 cnf(151,plain,
% 25.04/25.16 (P1(f8(f8(x1511,f8(x1512,x1511)),x1512))),
% 25.04/25.16 inference(scs_inference,[],[76,141,143,113,69,93,89])).
% 25.04/25.16 cnf(152,plain,
% 25.04/25.16 (E(f8(x1521,f8(x1522,x1523)),f8(f8(x1521,x1522),x1523))),
% 25.04/25.16 inference(rename_variables,[],[113])).
% 25.04/25.16 cnf(153,plain,
% 25.04/25.16 (P2(f8(f8(a6,f8(x1531,x1532)),a6),f8(x1532,x1531))),
% 25.04/25.16 inference(scs_inference,[],[76,141,143,150,113,152,69,93,89,92])).
% 25.04/25.16 cnf(161,plain,
% 25.04/25.16 (E(x1611,f8(x1611,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(162,plain,
% 25.04/25.16 (P1(f8(f8(f8(x1621,f8(x1622,x1621)),x1622),a6))),
% 25.04/25.16 inference(scs_inference,[],[76,151,153,94,161,69,93,89])).
% 25.04/25.16 cnf(163,plain,
% 25.04/25.16 (E(x1631,f8(x1631,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(164,plain,
% 25.04/25.16 (P2(f8(f8(f8(a6,f8(x1641,x1642)),a6),a6),f8(x1642,x1641))),
% 25.04/25.16 inference(scs_inference,[],[76,151,153,94,161,163,69,93,89,92])).
% 25.04/25.16 cnf(171,plain,
% 25.04/25.16 (P2(f8(f8(x1711,f8(x1712,a6)),a6),f8(x1712,x1711))),
% 25.04/25.16 inference(scs_inference,[],[76,162,164,119,47,94,69,93,92])).
% 25.04/25.16 cnf(173,plain,
% 25.04/25.16 (P1(f8(a6,f8(f8(x1731,f8(x1732,x1731)),x1732)))),
% 25.04/25.16 inference(scs_inference,[],[76,162,164,119,47,94,48,69,93,92,89])).
% 25.04/25.16 cnf(180,plain,
% 25.04/25.16 (P2(f8(f8(x1801,f8(x1802,a6)),a6),f8(x1802,x1801))),
% 25.04/25.16 inference(rename_variables,[],[171])).
% 25.04/25.16 cnf(181,plain,
% 25.04/25.16 (P2(f8(x1811,f8(f8(x1812,a6),a6)),f8(x1812,x1811))),
% 25.04/25.16 inference(scs_inference,[],[76,173,171,180,46,49,69,93,92])).
% 25.04/25.16 cnf(2387,plain,
% 25.04/25.16 (~P1(f16(a15))),
% 25.04/25.16 inference(scs_inference,[],[76,64,52,55,56])).
% 25.04/25.16 cnf(2391,plain,
% 25.04/25.16 (~P1(f17(a15))),
% 25.04/25.16 inference(scs_inference,[],[76,64,52,55,56,57,58])).
% 25.04/25.16 cnf(2406,plain,
% 25.04/25.16 (E(f8(a6,x24061),f8(f8(x24062,x24062),x24061))),
% 25.04/25.16 inference(scs_inference,[],[76,64,103,52,55,56,57,58,62,63,60,61,80,85,86,87,88,81])).
% 25.04/25.16 cnf(2408,plain,
% 25.04/25.16 (E(f19(a6,x24081),f19(f8(x24082,x24082),x24081))),
% 25.04/25.16 inference(scs_inference,[],[76,64,103,52,55,56,57,58,62,63,60,61,80,85,86,87,88,81,82,83])).
% 25.04/25.16 cnf(2416,plain,
% 25.04/25.16 (E(f8(x24161,a6),x24161)),
% 25.04/25.16 inference(rename_variables,[],[47])).
% 25.04/25.16 cnf(2419,plain,
% 25.04/25.16 (~P1(f19(x24191,f9(f8(x24191,f8(a13,a14)))))),
% 25.04/25.16 inference(scs_inference,[],[76,95,3,64,103,47,2416,52,55,56,57,58,62,63,60,61,80,85,86,87,88,81,82,83,84,74,78,59,90,91,75])).
% 25.04/25.16 cnf(2517,plain,
% 25.04/25.16 (P1(f9(a1))),
% 25.04/25.16 inference(scs_inference,[],[68,52])).
% 25.04/25.16 cnf(2549,plain,
% 25.04/25.16 (P3(a1,a1)),
% 25.04/25.16 inference(scs_inference,[],[7,68,2387,2408,52,55,57,62,56,58,63,60,61,74,80,85,86,87,88,81,82,83,84,78,59,70])).
% 25.04/25.16 cnf(2568,plain,
% 25.04/25.16 (P1(f18(f9(a1)))),
% 25.04/25.16 inference(scs_inference,[],[2517,52,55,57,62])).
% 25.04/25.16 cnf(2580,plain,
% 25.04/25.16 (P1(f17(f9(f8(f9(a1),f8(a13,a14)))))),
% 25.04/25.16 inference(scs_inference,[],[2391,2517,52,55,57,62,56,58,63,60,61,74])).
% 25.04/25.16 cnf(2824,plain,
% 25.04/25.16 (P1(f9(f18(f9(a1))))),
% 25.04/25.16 inference(scs_inference,[],[2568,52])).
% 25.04/25.16 cnf(4762,plain,
% 25.04/25.16 (E(x47621,f8(x47621,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(4764,plain,
% 25.04/25.16 (E(x47641,f8(x47641,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(4768,plain,
% 25.04/25.16 (E(x47681,f8(x47681,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(4770,plain,
% 25.04/25.16 (E(x47701,f8(x47701,a6))),
% 25.04/25.16 inference(rename_variables,[],[94])).
% 25.04/25.16 cnf(4773,plain,
% 25.04/25.16 ($false),
% 25.04/25.16 inference(scs_inference,[],[76,94,4762,4764,4768,4770,47,2406,2824,2517,2580,181,30,2419,2549,78,58,79,92,93,69,89,90,91,59]),
% 25.04/25.16 ['proof']).
% 25.04/25.17 % SZS output end Proof
% 25.04/25.17 % Total time : 24.530000 s
%------------------------------------------------------------------------------