%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO038^1.003.003 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n027.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 : Thu Jul 21 19:29:42 EDT 2022

% Result   : Theorem 2.22s 2.43s
% Output   : Proof 2.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO038^1.003.003 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 06:28:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.22/2.43  % SZS status Theorem
% 2.22/2.43  % Mode: mode506
% 2.22/2.43  % Inferences: 399
% 2.22/2.43  % SZS output start Proof
% 2.22/2.43  thf(conj,conjecture,(d @ ((f @ (s @ (s @ one))) @ (s @ (s @ one))))).
% 2.22/2.43  thf(h0,negated_conjecture,(~((d @ ((f @ (s @ (s @ one))) @ (s @ (s @ one)))))),inference(assume_negation,[status(cth)],[conj])).
% 2.22/2.43  thf(ax1225, axiom, (~(p13)|p12), file('<stdin>', ax1225)).
% 2.22/2.43  thf(ax1219, axiom, (~(p4)|p14), file('<stdin>', ax1219)).
% 2.22/2.43  thf(ax1224, axiom, (~(p12)|p11), file('<stdin>', ax1224)).
% 2.22/2.43  thf(ax1226, axiom, p13, file('<stdin>', ax1226)).
% 2.22/2.43  thf(ax1220, axiom, (~(p14)|p8), file('<stdin>', ax1220)).
% 2.22/2.43  thf(ax1229, axiom, p4, file('<stdin>', ax1229)).
% 2.22/2.43  thf(ax1223, axiom, (~(p11)|p1|p10), file('<stdin>', ax1223)).
% 2.22/2.43  thf(ax1232, axiom, ~(p1), file('<stdin>', ax1232)).
% 2.22/2.43  thf(ax897, axiom, (~(p13)|p290), file('<stdin>', ax897)).
% 2.22/2.43  thf(ax1206, axiom, (~(p13)|p31), file('<stdin>', ax1206)).
% 2.22/2.43  thf(ax1221, axiom, (~(p9)|~(p8)|~(p7)), file('<stdin>', ax1221)).
% 2.22/2.43  thf(ax1222, axiom, (~(p10)|p9), file('<stdin>', ax1222)).
% 2.22/2.43  thf(ax919, axiom, (~(p3)|p264), file('<stdin>', ax919)).
% 2.22/2.43  thf(ax896, axiom, (~(p290)|p289), file('<stdin>', ax896)).
% 2.22/2.43  thf(ax993, axiom, (~(p4)|p205), file('<stdin>', ax993)).
% 2.22/2.43  thf(ax987, axiom, (~(p13)|p215), file('<stdin>', ax987)).
% 2.22/2.43  thf(ax1078, axiom, (~(p31)|p129), file('<stdin>', ax1078)).
% 2.22/2.43  thf(ax931, axiom, (~(p17)|p257), file('<stdin>', ax931)).
% 2.22/2.43  thf(ax892, axiom, (~(p2)|p286), file('<stdin>', ax892)).
% 2.22/2.43  thf(ax895, axiom, (~(p289)|~(p264)|p288), file('<stdin>', ax895)).
% 2.22/2.43  thf(ax1230, axiom, p3, file('<stdin>', ax1230)).
% 2.22/2.43  thf(ax994, axiom, (~(p205)|p200), file('<stdin>', ax994)).
% 2.22/2.43  thf(ax986, axiom, (~(p215)|p214), file('<stdin>', ax986)).
% 2.22/2.43  thf(ax1201, axiom, (~(p14)|p27), file('<stdin>', ax1201)).
% 2.22/2.43  thf(ax1077, axiom, (~(p129)|p7|p128), file('<stdin>', ax1077)).
% 2.22/2.43  thf(ax830, axiom, (~(p257)|p340), file('<stdin>', ax830)).
% 2.22/2.43  thf(ax1217, axiom, p17, file('<stdin>', ax1217)).
% 2.22/2.43  thf(ax893, axiom, (~(p287)|~(p286)|p285), file('<stdin>', ax893)).
% 2.22/2.43  thf(ax1231, axiom, p2, file('<stdin>', ax1231)).
% 2.22/2.43  thf(ax894, axiom, (~(p288)|p287), file('<stdin>', ax894)).
% 2.22/2.43  thf(ax1006, axiom, (~(p17)|p194), file('<stdin>', ax1006)).
% 2.22/2.43  thf(ax982, axiom, (~(p2)|p211), file('<stdin>', ax982)).
% 2.22/2.43  thf(ax985, axiom, (~(p214)|~(p200)|p213), file('<stdin>', ax985)).
% 2.22/2.43  thf(ax274, axiom, (~(p17)|p775), file('<stdin>', ax274)).
% 2.22/2.43  thf(ax1065, axiom, (~(p13)|p142), file('<stdin>', ax1065)).
% 2.22/2.43  thf(ax1075, axiom, (~(p127)|~(p27)|~(p126)), file('<stdin>', ax1075)).
% 2.22/2.43  thf(ax1076, axiom, (~(p128)|p127), file('<stdin>', ax1076)).
% 2.22/2.43  thf(ax829, axiom, (~(p340)|~(p285)|p303), file('<stdin>', ax829)).
% 2.22/2.43  thf(ax914, axiom, (~(p194)|p272), file('<stdin>', ax914)).
% 2.22/2.43  thf(ax983, axiom, (~(p212)|~(p211)|p210), file('<stdin>', ax983)).
% 2.22/2.43  thf(ax984, axiom, (~(p213)|p212), file('<stdin>', ax984)).
% 2.22/2.43  thf(ax252, axiom, (~(p205)|p790), file('<stdin>', ax252)).
% 2.22/2.43  thf(ax227, axiom, (~(p775)|p816), file('<stdin>', ax227)).
% 2.22/2.43  thf(ax1064, axiom, (~(p142)|p141), file('<stdin>', ax1064)).
% 2.22/2.43  thf(pax6, axiom, (p6=>![X1:$i]:(fd @ X1=>fd @ (fs @ X1))), file('<stdin>', pax6)).
% 2.22/2.43  thf(pax3, axiom, (p3=>![X1:$i]:(ff @ fone @ (fs @ X1))=(fs @ (fs @ (ff @ fone @ X1)))), file('<stdin>', pax3)).
% 2.22/2.43  thf(ax913, axiom, (~(p272)|~(p210)|p229), file('<stdin>', ax913)).
% 2.22/2.43  thf(ax226, axiom, (~(p816)|~(p790)|p815), file('<stdin>', ax226)).
% 2.22/2.43  thf(ax173, axiom, (~(p290)|p868), file('<stdin>', ax173)).
% 2.22/2.43  thf(ax1060, axiom, (~(p2)|p138), file('<stdin>', ax1060)).
% 2.22/2.43  thf(ax1063, axiom, (~(p141)|p126|p140), file('<stdin>', ax1063)).
% 2.22/2.43  thf(ax1227, axiom, p6, file('<stdin>', ax1227)).
% 2.22/2.43  thf(pax303, axiom, (p303=>(fs @ (fs @ (fs @ fone)))=(ff @ fone @ (fs @ fone))), file('<stdin>', pax303)).
% 2.22/2.43  thf(ax172, axiom, (~(p868)|~(p815)|p867), file('<stdin>', ax172)).
% 2.22/2.43  thf(ax1061, axiom, (~(p139)|~(p138)|~(p137)), file('<stdin>', ax1061)).
% 2.22/2.43  thf(ax1062, axiom, (~(p140)|p139), file('<stdin>', ax1062)).
% 2.22/2.43  thf(pax229, axiom, (p229=>(ff @ fone @ (fs @ fone))=(ff @ (fs @ fone) @ (fs @ fone))), file('<stdin>', pax229)).
% 2.22/2.43  thf(ax42, axiom, (~(p205)|p977), file('<stdin>', ax42)).
% 2.22/2.43  thf(ax170, axiom, (~(p866)|~(p286)|p865), file('<stdin>', ax170)).
% 2.22/2.43  thf(ax171, axiom, (~(p867)|p866), file('<stdin>', ax171)).
% 2.22/2.43  thf(pax2, axiom, (p2=>![X1:$i]:(ff @ X1 @ fone)=(fs @ fone)), file('<stdin>', pax2)).
% 2.22/2.43  thf(pax977, axiom, (p977=>(ff @ (fs @ fone) @ (fs @ (fs @ fone)))=(ff @ fone @ (ff @ (fs @ fone) @ (fs @ fone)))), file('<stdin>', pax977)).
% 2.22/2.43  thf(nax137, axiom, (p137<=fd @ (ff @ (fs @ fone) @ (ff @ (fs @ fone) @ (fs @ fone)))), file('<stdin>', nax137)).
% 2.22/2.43  thf(pax865, axiom, (p865=>(ff @ fone @ (ff @ (fs @ fone) @ (fs @ (fs @ fone))))=(ff @ (fs @ fone) @ (fs @ (fs @ (ff @ fone @ fone))))), file('<stdin>', pax865)).
% 2.22/2.43  thf(pax5, axiom, (p5=>fd @ fone), file('<stdin>', pax5)).
% 2.22/2.43  thf(ax1228, axiom, p5, file('<stdin>', ax1228)).
% 2.22/2.43  thf(c_0_66, plain, (~p13|p12), inference(fof_simplification,[status(thm)],[ax1225])).
% 2.22/2.43  thf(c_0_67, plain, (~p4|p14), inference(fof_simplification,[status(thm)],[ax1219])).
% 2.22/2.43  thf(c_0_68, plain, (~p12|p11), inference(fof_simplification,[status(thm)],[ax1224])).
% 2.22/2.43  thf(c_0_69, plain, (p12|~p13), inference(split_conjunct,[status(thm)],[c_0_66])).
% 2.22/2.43  thf(c_0_70, plain, p13, inference(split_conjunct,[status(thm)],[ax1226])).
% 2.22/2.43  thf(c_0_71, plain, (~p14|p8), inference(fof_simplification,[status(thm)],[ax1220])).
% 2.22/2.43  thf(c_0_72, plain, (p14|~p4), inference(split_conjunct,[status(thm)],[c_0_67])).
% 2.22/2.43  thf(c_0_73, plain, p4, inference(split_conjunct,[status(thm)],[ax1229])).
% 2.22/2.43  thf(c_0_74, plain, (~p11|p1|p10), inference(fof_simplification,[status(thm)],[ax1223])).
% 2.22/2.43  thf(c_0_75, plain, (p11|~p12), inference(split_conjunct,[status(thm)],[c_0_68])).
% 2.22/2.43  thf(c_0_76, plain, p12, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])).
% 2.22/2.43  thf(c_0_77, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1232])).
% 2.22/2.43  thf(c_0_78, plain, (~p13|p290), inference(fof_simplification,[status(thm)],[ax897])).
% 2.22/2.43  thf(c_0_79, plain, (~p13|p31), inference(fof_simplification,[status(thm)],[ax1206])).
% 2.22/2.43  thf(c_0_80, plain, (~p9|~p8|~p7), inference(fof_simplification,[status(thm)],[ax1221])).
% 2.22/2.43  thf(c_0_81, plain, (p8|~p14), inference(split_conjunct,[status(thm)],[c_0_71])).
% 2.22/2.43  thf(c_0_82, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])).
% 2.22/2.43  thf(c_0_83, plain, (~p10|p9), inference(fof_simplification,[status(thm)],[ax1222])).
% 2.22/2.43  thf(c_0_84, plain, (p1|p10|~p11), inference(split_conjunct,[status(thm)],[c_0_74])).
% 2.22/2.43  thf(c_0_85, plain, p11, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
% 2.22/2.43  thf(c_0_86, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_77])).
% 2.22/2.43  thf(c_0_87, plain, (~p3|p264), inference(fof_simplification,[status(thm)],[ax919])).
% 2.22/2.43  thf(c_0_88, plain, (~p290|p289), inference(fof_simplification,[status(thm)],[ax896])).
% 2.22/2.43  thf(c_0_89, plain, (p290|~p13), inference(split_conjunct,[status(thm)],[c_0_78])).
% 2.22/2.43  thf(c_0_90, plain, (~p4|p205), inference(fof_simplification,[status(thm)],[ax993])).
% 2.22/2.43  thf(c_0_91, plain, (~p13|p215), inference(fof_simplification,[status(thm)],[ax987])).
% 2.22/2.43  thf(c_0_92, plain, (~p31|p129), inference(fof_simplification,[status(thm)],[ax1078])).
% 2.22/2.43  thf(c_0_93, plain, (p31|~p13), inference(split_conjunct,[status(thm)],[c_0_79])).
% 2.22/2.43  thf(c_0_94, plain, (~p9|~p8|~p7), inference(split_conjunct,[status(thm)],[c_0_80])).
% 2.22/2.43  thf(c_0_95, plain, p8, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])])).
% 2.22/2.43  thf(c_0_96, plain, (p9|~p10), inference(split_conjunct,[status(thm)],[c_0_83])).
% 2.22/2.43  thf(c_0_97, plain, p10, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_85])]), c_0_86])).
% 2.22/2.43  thf(c_0_98, plain, (~p17|p257), inference(fof_simplification,[status(thm)],[ax931])).
% 2.22/2.43  thf(c_0_99, plain, (~p2|p286), inference(fof_simplification,[status(thm)],[ax892])).
% 2.22/2.43  thf(c_0_100, plain, (~p289|~p264|p288), inference(fof_simplification,[status(thm)],[ax895])).
% 2.22/2.43  thf(c_0_101, plain, (p264|~p3), inference(split_conjunct,[status(thm)],[c_0_87])).
% 2.22/2.43  thf(c_0_102, plain, p3, inference(split_conjunct,[status(thm)],[ax1230])).
% 2.22/2.43  thf(c_0_103, plain, (p289|~p290), inference(split_conjunct,[status(thm)],[c_0_88])).
% 2.22/2.43  thf(c_0_104, plain, p290, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_70])])).
% 2.22/2.43  thf(c_0_105, plain, (~p205|p200), inference(fof_simplification,[status(thm)],[ax994])).
% 2.22/2.43  thf(c_0_106, plain, (p205|~p4), inference(split_conjunct,[status(thm)],[c_0_90])).
% 2.22/2.43  thf(c_0_107, plain, (~p215|p214), inference(fof_simplification,[status(thm)],[ax986])).
% 2.22/2.43  thf(c_0_108, plain, (p215|~p13), inference(split_conjunct,[status(thm)],[c_0_91])).
% 2.22/2.43  thf(c_0_109, plain, (~p14|p27), inference(fof_simplification,[status(thm)],[ax1201])).
% 2.22/2.43  thf(c_0_110, plain, (~p129|p7|p128), inference(fof_simplification,[status(thm)],[ax1077])).
% 2.22/2.43  thf(c_0_111, plain, (p129|~p31), inference(split_conjunct,[status(thm)],[c_0_92])).
% 2.22/2.43  thf(c_0_112, plain, p31, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_70])])).
% 2.22/2.43  thf(c_0_113, plain, (~p7|~p9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])).
% 2.22/2.43  thf(c_0_114, plain, p9, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])])).
% 2.22/2.43  thf(c_0_115, plain, (~p257|p340), inference(fof_simplification,[status(thm)],[ax830])).
% 2.22/2.43  thf(c_0_116, plain, (p257|~p17), inference(split_conjunct,[status(thm)],[c_0_98])).
% 2.22/2.43  thf(c_0_117, plain, p17, inference(split_conjunct,[status(thm)],[ax1217])).
% 2.22/2.43  thf(c_0_118, plain, (~p287|~p286|p285), inference(fof_simplification,[status(thm)],[ax893])).
% 2.22/2.43  thf(c_0_119, plain, (p286|~p2), inference(split_conjunct,[status(thm)],[c_0_99])).
% 2.22/2.43  thf(c_0_120, plain, p2, inference(split_conjunct,[status(thm)],[ax1231])).
% 2.22/2.43  thf(c_0_121, plain, (~p288|p287), inference(fof_simplification,[status(thm)],[ax894])).
% 2.22/2.43  thf(c_0_122, plain, (p288|~p289|~p264), inference(split_conjunct,[status(thm)],[c_0_100])).
% 2.22/2.43  thf(c_0_123, plain, p264, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101, c_0_102])])).
% 2.22/2.43  thf(c_0_124, plain, p289, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])).
% 2.22/2.43  thf(c_0_125, plain, (~p17|p194), inference(fof_simplification,[status(thm)],[ax1006])).
% 2.22/2.43  thf(c_0_126, plain, (~p2|p211), inference(fof_simplification,[status(thm)],[ax982])).
% 2.22/2.43  thf(c_0_127, plain, (~p214|~p200|p213), inference(fof_simplification,[status(thm)],[ax985])).
% 2.22/2.43  thf(c_0_128, plain, (p200|~p205), inference(split_conjunct,[status(thm)],[c_0_105])).
% 2.22/2.43  thf(c_0_129, plain, p205, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_73])])).
% 2.22/2.43  thf(c_0_130, plain, (p214|~p215), inference(split_conjunct,[status(thm)],[c_0_107])).
% 2.22/2.43  thf(c_0_131, plain, p215, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_70])])).
% 2.22/2.43  thf(c_0_132, plain, (~p17|p775), inference(fof_simplification,[status(thm)],[ax274])).
% 2.22/2.43  thf(c_0_133, plain, (~p13|p142), inference(fof_simplification,[status(thm)],[ax1065])).
% 2.22/2.43  thf(c_0_134, plain, (~p127|~p27|~p126), inference(fof_simplification,[status(thm)],[ax1075])).
% 2.22/2.43  thf(c_0_135, plain, (p27|~p14), inference(split_conjunct,[status(thm)],[c_0_109])).
% 2.22/2.43  thf(c_0_136, plain, (~p128|p127), inference(fof_simplification,[status(thm)],[ax1076])).
% 2.22/2.43  thf(c_0_137, plain, (p7|p128|~p129), inference(split_conjunct,[status(thm)],[c_0_110])).
% 2.22/2.43  thf(c_0_138, plain, p129, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112])])).
% 2.22/2.43  thf(c_0_139, plain, ~p7, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113, c_0_114])])).
% 2.22/2.43  thf(c_0_140, plain, (~p340|~p285|p303), inference(fof_simplification,[status(thm)],[ax829])).
% 2.22/2.43  thf(c_0_141, plain, (p340|~p257), inference(split_conjunct,[status(thm)],[c_0_115])).
% 2.22/2.43  thf(c_0_142, plain, p257, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_117])])).
% 2.22/2.43  thf(c_0_143, plain, (p285|~p287|~p286), inference(split_conjunct,[status(thm)],[c_0_118])).
% 2.22/2.43  thf(c_0_144, plain, p286, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119, c_0_120])])).
% 2.22/2.43  thf(c_0_145, plain, (p287|~p288), inference(split_conjunct,[status(thm)],[c_0_121])).
% 2.22/2.43  thf(c_0_146, plain, p288, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_123]), c_0_124])])).
% 2.22/2.43  thf(c_0_147, plain, (~p194|p272), inference(fof_simplification,[status(thm)],[ax914])).
% 2.22/2.43  thf(c_0_148, plain, (p194|~p17), inference(split_conjunct,[status(thm)],[c_0_125])).
% 2.22/2.43  thf(c_0_149, plain, (~p212|~p211|p210), inference(fof_simplification,[status(thm)],[ax983])).
% 2.22/2.43  thf(c_0_150, plain, (p211|~p2), inference(split_conjunct,[status(thm)],[c_0_126])).
% 2.22/2.43  thf(c_0_151, plain, (~p213|p212), inference(fof_simplification,[status(thm)],[ax984])).
% 2.22/2.43  thf(c_0_152, plain, (p213|~p214|~p200), inference(split_conjunct,[status(thm)],[c_0_127])).
% 2.22/2.43  thf(c_0_153, plain, p200, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128, c_0_129])])).
% 2.22/2.43  thf(c_0_154, plain, p214, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130, c_0_131])])).
% 2.22/2.43  thf(c_0_155, plain, (~p205|p790), inference(fof_simplification,[status(thm)],[ax252])).
% 2.22/2.43  thf(c_0_156, plain, (~p775|p816), inference(fof_simplification,[status(thm)],[ax227])).
% 2.22/2.43  thf(c_0_157, plain, (p775|~p17), inference(split_conjunct,[status(thm)],[c_0_132])).
% 2.22/2.43  thf(c_0_158, plain, (~p142|p141), inference(fof_simplification,[status(thm)],[ax1064])).
% 2.22/2.43  thf(c_0_159, plain, (p142|~p13), inference(split_conjunct,[status(thm)],[c_0_133])).
% 2.22/2.43  thf(c_0_160, plain, (~p127|~p27|~p126), inference(split_conjunct,[status(thm)],[c_0_134])).
% 2.22/2.43  thf(c_0_161, plain, p27, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135, c_0_82])])).
% 2.22/2.43  thf(c_0_162, plain, (p127|~p128), inference(split_conjunct,[status(thm)],[c_0_136])).
% 2.22/2.43  thf(c_0_163, plain, p128, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137, c_0_138])]), c_0_139])).
% 2.22/2.43  thf(c_0_164, plain, ![X1045:$i]:(~p6|(~fd @ X1045|fd @ (fs @ X1045))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 2.22/2.43  thf(c_0_165, plain, ![X1051:$i]:(~p3|(ff @ fone @ (fs @ X1051))=(fs @ (fs @ (ff @ fone @ X1051)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])).
% 2.22/2.43  thf(c_0_166, plain, (p303|~p340|~p285), inference(split_conjunct,[status(thm)],[c_0_140])).
% 2.22/2.43  thf(c_0_167, plain, p340, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141, c_0_142])])).
% 2.22/2.43  thf(c_0_168, plain, (p285|~p287), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_144])])).
% 2.22/2.43  thf(c_0_169, plain, p287, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145, c_0_146])])).
% 2.22/2.43  thf(c_0_170, plain, (~p272|~p210|p229), inference(fof_simplification,[status(thm)],[ax913])).
% 2.22/2.43  thf(c_0_171, plain, (p272|~p194), inference(split_conjunct,[status(thm)],[c_0_147])).
% 2.22/2.43  thf(c_0_172, plain, p194, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148, c_0_117])])).
% 2.22/2.43  thf(c_0_173, plain, (p210|~p212|~p211), inference(split_conjunct,[status(thm)],[c_0_149])).
% 2.22/2.43  thf(c_0_174, plain, p211, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150, c_0_120])])).
% 2.22/2.43  thf(c_0_175, plain, (p212|~p213), inference(split_conjunct,[status(thm)],[c_0_151])).
% 2.22/2.43  thf(c_0_176, plain, p213, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152, c_0_153]), c_0_154])])).
% 2.22/2.43  thf(c_0_177, plain, (~p816|~p790|p815), inference(fof_simplification,[status(thm)],[ax226])).
% 2.22/2.43  thf(c_0_178, plain, (p790|~p205), inference(split_conjunct,[status(thm)],[c_0_155])).
% 2.22/2.43  thf(c_0_179, plain, (p816|~p775), inference(split_conjunct,[status(thm)],[c_0_156])).
% 2.22/2.43  thf(c_0_180, plain, p775, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157, c_0_117])])).
% 2.22/2.43  thf(c_0_181, plain, (~p290|p868), inference(fof_simplification,[status(thm)],[ax173])).
% 2.22/2.43  thf(c_0_182, plain, (~p2|p138), inference(fof_simplification,[status(thm)],[ax1060])).
% 2.22/2.43  thf(c_0_183, plain, (~p141|p126|p140), inference(fof_simplification,[status(thm)],[ax1063])).
% 2.22/2.43  thf(c_0_184, plain, (p141|~p142), inference(split_conjunct,[status(thm)],[c_0_158])).
% 2.22/2.43  thf(c_0_185, plain, p142, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159, c_0_70])])).
% 2.22/2.43  thf(c_0_186, plain, (~p126|~p127), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160, c_0_161])])).
% 2.22/2.43  thf(c_0_187, plain, p127, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162, c_0_163])])).
% 2.22/2.43  thf(c_0_188, plain, ![X1:$i]:(fd @ (fs @ X1)|~p6|~fd @ X1), inference(split_conjunct,[status(thm)],[c_0_164])).
% 2.22/2.43  thf(c_0_189, plain, p6, inference(split_conjunct,[status(thm)],[ax1227])).
% 2.22/2.43  thf(c_0_190, plain, ![X1:$i]:((ff @ fone @ (fs @ X1))=(fs @ (fs @ (ff @ fone @ X1)))|~p3), inference(split_conjunct,[status(thm)],[c_0_165])).
% 2.22/2.43  thf(c_0_191, plain, (~p303|(fs @ (fs @ (fs @ fone)))=(ff @ fone @ (fs @ fone))), inference(fof_nnf,[status(thm)],[pax303])).
% 2.22/2.43  thf(c_0_192, plain, (p303|~p285), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166, c_0_167])])).
% 2.22/2.43  thf(c_0_193, plain, p285, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168, c_0_169])])).
% 2.22/2.43  thf(c_0_194, plain, (p229|~p272|~p210), inference(split_conjunct,[status(thm)],[c_0_170])).
% 2.22/2.43  thf(c_0_195, plain, p272, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171, c_0_172])])).
% 2.22/2.43  thf(c_0_196, plain, (p210|~p212), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173, c_0_174])])).
% 2.22/2.43  thf(c_0_197, plain, p212, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175, c_0_176])])).
% 2.22/2.43  thf(c_0_198, plain, (~p868|~p815|p867), inference(fof_simplification,[status(thm)],[ax172])).
% 2.22/2.43  thf(c_0_199, plain, (p815|~p816|~p790), inference(split_conjunct,[status(thm)],[c_0_177])).
% 2.22/2.43  thf(c_0_200, plain, p790, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178, c_0_129])])).
% 2.22/2.43  thf(c_0_201, plain, p816, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179, c_0_180])])).
% 2.22/2.43  thf(c_0_202, plain, (p868|~p290), inference(split_conjunct,[status(thm)],[c_0_181])).
% 2.22/2.43  thf(c_0_203, plain, (~p139|~p138|~p137), inference(fof_simplification,[status(thm)],[ax1061])).
% 2.22/2.43  thf(c_0_204, plain, (p138|~p2), inference(split_conjunct,[status(thm)],[c_0_182])).
% 2.22/2.43  thf(c_0_205, plain, (~p140|p139), inference(fof_simplification,[status(thm)],[ax1062])).
% 2.22/2.43  thf(c_0_206, plain, (p126|p140|~p141), inference(split_conjunct,[status(thm)],[c_0_183])).
% 2.22/2.43  thf(c_0_207, plain, p141, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184, c_0_185])])).
% 2.22/2.43  thf(c_0_208, plain, ~p126, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186, c_0_187])])).
% 2.22/2.43  thf(c_0_209, plain, ![X1:$i]:(fd @ (fs @ X1)|~fd @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188, c_0_189])])).
% 2.22/2.43  thf(c_0_210, plain, ![X1:$i]:(fs @ (fs @ (ff @ fone @ X1)))=(ff @ fone @ (fs @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190, c_0_102])])).
% 2.22/2.43  thf(c_0_211, plain, (~p229|(ff @ fone @ (fs @ fone))=(ff @ (fs @ fone) @ (fs @ fone))), inference(fof_nnf,[status(thm)],[pax229])).
% 2.22/2.43  thf(c_0_212, plain, ((fs @ (fs @ (fs @ fone)))=(ff @ fone @ (fs @ fone))|~p303), inference(split_conjunct,[status(thm)],[c_0_191])).
% 2.22/2.43  thf(c_0_213, plain, p303, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192, c_0_193])])).
% 2.22/2.43  thf(c_0_214, plain, (p229|~p210), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194, c_0_195])])).
% 2.22/2.43  thf(c_0_215, plain, p210, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196, c_0_197])])).
% 2.22/2.43  thf(c_0_216, plain, (~p205|p977), inference(fof_simplification,[status(thm)],[ax42])).
% 2.22/2.43  thf(c_0_217, plain, (~p866|~p286|p865), inference(fof_simplification,[status(thm)],[ax170])).
% 2.22/2.43  thf(c_0_218, plain, (~p867|p866), inference(fof_simplification,[status(thm)],[ax171])).
% 2.22/2.43  thf(c_0_219, plain, (p867|~p868|~p815), inference(split_conjunct,[status(thm)],[c_0_198])).
% 2.22/2.43  thf(c_0_220, plain, p815, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199, c_0_200]), c_0_201])])).
% 2.22/2.43  thf(c_0_221, plain, p868, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202, c_0_104])])).
% 2.22/2.43  thf(c_0_222, plain, (~p139|~p138|~p137), inference(split_conjunct,[status(thm)],[c_0_203])).
% 2.22/2.43  thf(c_0_223, plain, p138, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204, c_0_120])])).
% 2.22/2.43  thf(c_0_224, plain, (p139|~p140), inference(split_conjunct,[status(thm)],[c_0_205])).
% 2.22/2.43  thf(c_0_225, plain, p140, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206, c_0_207])]), c_0_208])).
% 2.22/2.43  thf(c_0_226, plain, ![X1:$i]:(fd @ (ff @ fone @ (fs @ X1))|~fd @ (fs @ (ff @ fone @ X1))), inference(spm,[status(thm)],[c_0_209, c_0_210])).
% 2.22/2.43  thf(c_0_227, plain, ![X1053:$i]:(~p2|(ff @ X1053 @ fone)=(fs @ fone)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 2.22/2.43  thf(c_0_228, plain, (~p977|(ff @ (fs @ fone) @ (fs @ (fs @ fone)))=(ff @ fone @ (ff @ (fs @ fone) @ (fs @ fone)))), inference(fof_nnf,[status(thm)],[pax977])).
% 2.22/2.43  thf(c_0_229, plain, ((ff @ fone @ (fs @ fone))=(ff @ (fs @ fone) @ (fs @ fone))|~p229), inference(split_conjunct,[status(thm)],[c_0_211])).
% 2.22/2.43  thf(c_0_230, plain, (ff @ fone @ (fs @ fone))=(fs @ (fs @ (fs @ fone))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212, c_0_213])])).
% 2.22/2.43  thf(c_0_231, plain, p229, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214, c_0_215])])).
% 2.22/2.43  thf(c_0_232, plain, (p977|~p205), inference(split_conjunct,[status(thm)],[c_0_216])).
% 2.22/2.43  thf(c_0_233, plain, (p865|~p866|~p286), inference(split_conjunct,[status(thm)],[c_0_217])).
% 2.22/2.43  thf(c_0_234, plain, (p866|~p867), inference(split_conjunct,[status(thm)],[c_0_218])).
% 2.22/2.43  thf(c_0_235, plain, p867, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219, c_0_220]), c_0_221])])).
% 2.22/2.43  thf(c_0_236, plain, (~fd @ (ff @ (fs @ fone) @ (ff @ (fs @ fone) @ (fs @ fone)))|p137), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax137])])).
% 2.22/2.43  thf(c_0_237, plain, (~p137|~p139), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222, c_0_223])])).
% 2.22/2.43  thf(c_0_238, plain, p139, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224, c_0_225])])).
% 2.22/2.43  thf(c_0_239, plain, ![X1:$i]:(fd @ (ff @ fone @ (ff @ fone @ (fs @ X1)))|~fd @ (fs @ (ff @ fone @ (fs @ (ff @ fone @ X1))))), inference(spm,[status(thm)],[c_0_226, c_0_210])).
% 2.22/2.43  thf(c_0_240, plain, (~p865|(ff @ fone @ (ff @ (fs @ fone) @ (fs @ (fs @ fone))))=(ff @ (fs @ fone) @ (fs @ (fs @ (ff @ fone @ fone))))), inference(fof_nnf,[status(thm)],[pax865])).
% 2.22/2.43  thf(c_0_241, plain, ![X1:$i]:((ff @ X1 @ fone)=(fs @ fone)|~p2), inference(split_conjunct,[status(thm)],[c_0_227])).
% 2.22/2.43  thf(c_0_242, plain, ((ff @ (fs @ fone) @ (fs @ (fs @ fone)))=(ff @ fone @ (ff @ (fs @ fone) @ (fs @ fone)))|~p977), inference(split_conjunct,[status(thm)],[c_0_228])).
% 2.22/2.43  thf(c_0_243, plain, (ff @ (fs @ fone) @ (fs @ fone))=(fs @ (fs @ (fs @ fone))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229, c_0_230]), c_0_231])])).
% 2.22/2.43  thf(c_0_244, plain, p977, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232, c_0_129])])).
% 2.22/2.43  thf(c_0_245, plain, (p865|~p866), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233, c_0_144])])).
% 2.22/2.43  thf(c_0_246, plain, p866, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234, c_0_235])])).
% 2.22/2.43  thf(c_0_247, plain, (p137|~fd @ (ff @ (fs @ fone) @ (ff @ (fs @ fone) @ (fs @ fone)))), inference(split_conjunct,[status(thm)],[c_0_236])).
% 2.22/2.43  thf(c_0_248, plain, ~p137, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237, c_0_238])])).
% 2.22/2.43  thf(c_0_249, plain, ![X1:$i]:(fd @ (ff @ fone @ (ff @ fone @ (fs @ X1)))|~fd @ (ff @ fone @ (fs @ (ff @ fone @ X1)))), inference(spm,[status(thm)],[c_0_239, c_0_209])).
% 2.22/2.43  thf(c_0_250, plain, ((ff @ fone @ (ff @ (fs @ fone) @ (fs @ (fs @ fone))))=(ff @ (fs @ fone) @ (fs @ (fs @ (ff @ fone @ fone))))|~p865), inference(split_conjunct,[status(thm)],[c_0_240])).
% 2.22/2.43  thf(c_0_251, plain, ![X1:$i]:(ff @ X1 @ fone)=(fs @ fone), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241, c_0_120])])).
% 2.22/2.43  thf(c_0_252, plain, (ff @ (fs @ fone) @ (fs @ (fs @ fone)))=(ff @ fone @ (fs @ (fs @ (fs @ fone)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242, c_0_243]), c_0_244])])).
% 2.22/2.43  thf(c_0_253, plain, p865, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245, c_0_246])])).
% 2.22/2.43  thf(c_0_254, plain, ~fd @ (ff @ (fs @ fone) @ (ff @ (fs @ fone) @ (fs @ fone))), inference(sr,[status(thm)],[c_0_247, c_0_248])).
% 2.22/2.43  thf(c_0_255, plain, ![X1:$i]:(fd @ (ff @ fone @ (ff @ fone @ (ff @ fone @ (fs @ X1))))|~fd @ (ff @ fone @ (fs @ (ff @ fone @ (fs @ (ff @ fone @ X1)))))), inference(spm,[status(thm)],[c_0_249, c_0_210])).
% 2.22/2.43  thf(c_0_256, plain, (ff @ fone @ (ff @ fone @ (fs @ (fs @ (fs @ fone)))))=(ff @ (fs @ fone) @ (fs @ (fs @ (fs @ fone)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250, c_0_251]), c_0_252]), c_0_253])])).
% 2.22/2.43  thf(c_0_257, plain, ~fd @ (ff @ (fs @ fone) @ (fs @ (fs @ (fs @ fone)))), inference(rw,[status(thm)],[c_0_254, c_0_243])).
% 2.22/2.43  thf(c_0_258, plain, ~fd @ (ff @ fone @ (fs @ (ff @ fone @ (fs @ (fs @ fone))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255, c_0_251]), c_0_230]), c_0_256]), c_0_257])).
% 2.22/2.43  thf(c_0_259, plain, ~fd @ (fs @ (ff @ fone @ (ff @ fone @ (fs @ (fs @ fone))))), inference(spm,[status(thm)],[c_0_258, c_0_226])).
% 2.22/2.43  thf(c_0_260, plain, ~fd @ (ff @ fone @ (ff @ fone @ (fs @ (fs @ fone)))), inference(spm,[status(thm)],[c_0_259, c_0_209])).
% 2.22/2.43  thf(c_0_261, plain, ~fd @ (ff @ fone @ (fs @ (fs @ (fs @ (fs @ fone))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260, c_0_249]), c_0_230])).
% 2.22/2.43  thf(c_0_262, plain, ~fd @ (fs @ (ff @ fone @ (fs @ (fs @ (fs @ fone))))), inference(spm,[status(thm)],[c_0_261, c_0_226])).
% 2.22/2.43  thf(c_0_263, plain, ~fd @ (ff @ fone @ (fs @ (fs @ (fs @ fone)))), inference(spm,[status(thm)],[c_0_262, c_0_209])).
% 2.22/2.43  thf(c_0_264, plain, (fd @ (ff @ fone @ (fs @ (fs @ (fs @ fone))))|~fd @ (ff @ fone @ (fs @ (fs @ fone)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249, c_0_230]), c_0_251])).
% 2.22/2.43  thf(c_0_265, plain, (fs @ (fs @ (fs @ (fs @ (fs @ fone)))))=(ff @ fone @ (fs @ (fs @ fone))), inference(spm,[status(thm)],[c_0_210, c_0_230])).
% 2.22/2.43  thf(c_0_266, plain, ~fd @ (ff @ fone @ (fs @ (fs @ fone))), inference(spm,[status(thm)],[c_0_263, c_0_264])).
% 2.22/2.43  thf(c_0_267, plain, (fd @ (ff @ fone @ (fs @ (fs @ fone)))|~fd @ (fs @ (fs @ (fs @ (fs @ fone))))), inference(spm,[status(thm)],[c_0_209, c_0_265])).
% 2.22/2.43  thf(c_0_268, plain, ~fd @ (fs @ (fs @ (fs @ (fs @ fone)))), inference(spm,[status(thm)],[c_0_266, c_0_267])).
% 2.22/2.43  thf(c_0_269, plain, ~fd @ (fs @ (fs @ (fs @ fone))), inference(spm,[status(thm)],[c_0_268, c_0_209])).
% 2.22/2.43  thf(c_0_270, plain, (~p5|fd @ fone), inference(fof_nnf,[status(thm)],[pax5])).
% 2.22/2.43  thf(c_0_271, plain, ~fd @ (fs @ (fs @ fone)), inference(spm,[status(thm)],[c_0_269, c_0_209])).
% 2.22/2.43  thf(c_0_272, plain, (fd @ fone|~p5), inference(split_conjunct,[status(thm)],[c_0_270])).
% 2.22/2.43  thf(c_0_273, plain, p5, inference(split_conjunct,[status(thm)],[ax1228])).
% 2.22/2.43  thf(c_0_274, plain, ~fd @ (fs @ fone), inference(spm,[status(thm)],[c_0_271, c_0_209])).
% 2.22/2.43  thf(c_0_275, plain, fd @ fone, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272, c_0_273])])).
% 2.22/2.43  thf(c_0_276, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274, c_0_209]), c_0_275])]), ['proof']).
% 2.22/2.43  thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.22/2.43  thf(0,theorem,(d @ ((f @ (s @ (s @ one))) @ (s @ (s @ one)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.22/2.43  % SZS output end Proof
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