TSTP Solution File: ITP146^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP146^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %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 : 600s
% DateTime : Sun Jul 17 00:29:16 EDT 2022
% Result : Theorem 19.07s 19.00s
% Output : Proof 19.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP146^1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n023.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 : Fri Jun 3 09:22:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 19.07/19.00 % SZS status Theorem
% 19.07/19.00 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 19.07/19.00 % Inferences: 57
% 19.07/19.00 % SZS output start Proof
% 19.07/19.00 thf(conj_0,conjecture,(xx = ((((auto_ll_on_flow0_a @ f) @ x) @ x2) @ ((minus_minus_real @ ss) @ tt)))).
% 19.07/19.00 thf(h0,negated_conjecture,(~((xx = ((((auto_ll_on_flow0_a @ f) @ x) @ x2) @ ((minus_minus_real @ ss) @ tt))))),inference(assume_negation,[status(cth)],[conj_0])).
% 19.07/19.00 thf(pax23, axiom, (p23=>![X84:real]:(fminus_minus_real @ fzero_zero_real @ X84)=(fuminus_uminus_real @ X84)), file('<stdin>', pax23)).
% 19.07/19.00 thf(pax109, axiom, (p109=>![X31:real, X28:real]:(fminus_minus_real @ X31 @ (fuminus_uminus_real @ X28))=(fplus_plus_real @ X31 @ X28)), file('<stdin>', pax109)).
% 19.07/19.00 thf(ax497, axiom, p23, file('<stdin>', ax497)).
% 19.07/19.00 thf(pax66, axiom, (p66=>![X56:real]:(fminus_minus_real @ X56 @ fzero_zero_real)=(X56)), file('<stdin>', pax66)).
% 19.07/19.00 thf(ax220, axiom, (~(p108)|p300), file('<stdin>', ax220)).
% 19.07/19.00 thf(pax90, axiom, (p90=>![X31:real, X47:a, X48:real]:(fmember_real @ X31 @ (fauto_l612940ivl0_a @ ff @ fx @ X47)=>(fmember_real @ X48 @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X47 @ X31))=>(fauto_ll_on_flow0_a @ ff @ fx @ X47 @ (fplus_plus_real @ X31 @ X48))=(fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X47 @ X31) @ X48)))), file('<stdin>', pax90)).
% 19.07/19.00 thf(ax411, axiom, p109, file('<stdin>', ax411)).
% 19.07/19.00 thf(pax6, axiom, (p6=>fmember_real @ fss @ (fauto_l612940ivl0_a @ ff @ fx @ fx2)), file('<stdin>', pax6)).
% 19.07/19.00 thf(pax3, axiom, (p3=>(fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt)=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss)), file('<stdin>', pax3)).
% 19.07/19.00 thf(pax24, axiom, (p24=>![X84:real, X85:a]:(fmember_real @ X84 @ (fauto_l612940ivl0_a @ ff @ fx @ X85)=>(fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X85 @ X84) @ (fminus_minus_real @ fzero_zero_real @ X84))=(X85))), file('<stdin>', pax24)).
% 19.07/19.00 thf(pax5, axiom, (p5=>fmember_real @ ftt @ (fauto_l612940ivl0_a @ ff @ fx @ fxx)), file('<stdin>', pax5)).
% 19.07/19.00 thf(pax300, axiom, (p300=>![X16:real]:(fplus_plus_real @ (fuminus_uminus_real @ fzero_zero_real) @ X16)=(fminus_minus_real @ X16 @ fzero_zero_real)), file('<stdin>', pax300)).
% 19.07/19.00 thf(ax454, axiom, p66, file('<stdin>', ax454)).
% 19.07/19.00 thf(ax412, axiom, p108, file('<stdin>', ax412)).
% 19.07/19.00 thf(ax227, axiom, (~(p109)|p293), file('<stdin>', ax227)).
% 19.07/19.00 thf(ax430, axiom, p90, file('<stdin>', ax430)).
% 19.07/19.00 thf(ax514, axiom, p6, file('<stdin>', ax514)).
% 19.07/19.00 thf(pax8, axiom, (p8=>fmember_real @ (fuminus_uminus_real @ ftt) @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt))), file('<stdin>', pax8)).
% 19.07/19.00 thf(ax517, axiom, p3, file('<stdin>', ax517)).
% 19.07/19.00 thf(ax496, axiom, p24, file('<stdin>', ax496)).
% 19.07/19.00 thf(ax515, axiom, p5, file('<stdin>', ax515)).
% 19.07/19.00 thf(pax293, axiom, (p293=>![X16:real]:(fminus_minus_real @ fzero_zero_real @ (fuminus_uminus_real @ X16))=(fplus_plus_real @ fzero_zero_real @ X16)), file('<stdin>', pax293)).
% 19.07/19.00 thf(nax131, axiom, (p131<=(fxx)=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ (fminus_minus_real @ fss @ ftt))), file('<stdin>', nax131)).
% 19.07/19.00 thf(ax389, axiom, ~(p131), file('<stdin>', ax389)).
% 19.07/19.00 thf(ax512, axiom, p8, file('<stdin>', ax512)).
% 19.07/19.00 thf(c_0_25, plain, ![X1457:real]:(~p23|(fminus_minus_real @ fzero_zero_real @ X1457)=(fuminus_uminus_real @ X1457)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 19.07/19.00 thf(c_0_26, plain, ![X1101:real, X1102:real]:(~p109|(fminus_minus_real @ X1101 @ (fuminus_uminus_real @ X1102))=(fplus_plus_real @ X1101 @ X1102)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax109])])])).
% 19.07/19.00 thf(c_0_27, plain, ![X2:real]:((fminus_minus_real @ fzero_zero_real @ X2)=(fuminus_uminus_real @ X2)|~p23), inference(split_conjunct,[status(thm)],[c_0_25])).
% 19.07/19.00 thf(c_0_28, plain, p23, inference(split_conjunct,[status(thm)],[ax497])).
% 19.07/19.00 thf(c_0_29, plain, ![X1267:real]:(~p66|(fminus_minus_real @ X1267 @ fzero_zero_real)=(X1267)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax66])])])).
% 19.07/19.00 thf(c_0_30, plain, (~p108|p300), inference(fof_simplification,[status(thm)],[ax220])).
% 19.07/19.00 thf(c_0_31, plain, ![X1203:real, X1204:a, X1205:real]:(~p90|(~fmember_real @ X1203 @ (fauto_l612940ivl0_a @ ff @ fx @ X1204)|(~fmember_real @ X1205 @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1204 @ X1203))|(fauto_ll_on_flow0_a @ ff @ fx @ X1204 @ (fplus_plus_real @ X1203 @ X1205))=(fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1204 @ X1203) @ X1205)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax90])])])).
% 19.07/19.00 thf(c_0_32, plain, ![X2:real, X3:real]:((fminus_minus_real @ X2 @ (fuminus_uminus_real @ X3))=(fplus_plus_real @ X2 @ X3)|~p109), inference(split_conjunct,[status(thm)],[c_0_26])).
% 19.07/19.00 thf(c_0_33, plain, ![X2:real]:(fuminus_uminus_real @ X2)=(fminus_minus_real @ fzero_zero_real @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
% 19.07/19.00 thf(c_0_34, plain, p109, inference(split_conjunct,[status(thm)],[ax411])).
% 19.07/19.00 thf(c_0_35, plain, (~p6|fmember_real @ fss @ (fauto_l612940ivl0_a @ ff @ fx @ fx2)), inference(fof_nnf,[status(thm)],[pax6])).
% 19.07/19.00 thf(c_0_36, plain, (~p3|(fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt)=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss)), inference(fof_nnf,[status(thm)],[pax3])).
% 19.07/19.00 thf(c_0_37, plain, ![X1453:real, X1454:a]:(~p24|(~fmember_real @ X1453 @ (fauto_l612940ivl0_a @ ff @ fx @ X1454)|(fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1454 @ X1453) @ (fminus_minus_real @ fzero_zero_real @ X1453))=(X1454))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax24])])])).
% 19.07/19.00 thf(c_0_38, plain, (~p5|fmember_real @ ftt @ (fauto_l612940ivl0_a @ ff @ fx @ fxx)), inference(fof_nnf,[status(thm)],[pax5])).
% 19.07/19.00 thf(c_0_39, plain, ![X695:real]:(~p300|(fplus_plus_real @ (fuminus_uminus_real @ fzero_zero_real) @ X695)=(fminus_minus_real @ X695 @ fzero_zero_real)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax300])])])).
% 19.07/19.00 thf(c_0_40, plain, ![X2:real]:((fminus_minus_real @ X2 @ fzero_zero_real)=(X2)|~p66), inference(split_conjunct,[status(thm)],[c_0_29])).
% 19.07/19.00 thf(c_0_41, plain, p66, inference(split_conjunct,[status(thm)],[ax454])).
% 19.07/19.00 thf(c_0_42, plain, (p300|~p108), inference(split_conjunct,[status(thm)],[c_0_30])).
% 19.07/19.00 thf(c_0_43, plain, p108, inference(split_conjunct,[status(thm)],[ax412])).
% 19.07/19.00 thf(c_0_44, plain, (~p109|p293), inference(fof_simplification,[status(thm)],[ax227])).
% 19.07/19.00 thf(c_0_45, plain, ![X1:a, X3:real, X2:real]:((fauto_ll_on_flow0_a @ ff @ fx @ X1 @ (fplus_plus_real @ X2 @ X3))=(fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1 @ X2) @ X3)|~p90|~fmember_real @ X2 @ (fauto_l612940ivl0_a @ ff @ fx @ X1)|~fmember_real @ X3 @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_31])).
% 19.07/19.00 thf(c_0_46, plain, ![X2:real, X3:real]:(fplus_plus_real @ X2 @ X3)=(fminus_minus_real @ X2 @ (fminus_minus_real @ fzero_zero_real @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33]), c_0_34])])).
% 19.07/19.00 thf(c_0_47, plain, p90, inference(split_conjunct,[status(thm)],[ax430])).
% 19.07/19.00 thf(c_0_48, plain, (fmember_real @ fss @ (fauto_l612940ivl0_a @ ff @ fx @ fx2)|~p6), inference(split_conjunct,[status(thm)],[c_0_35])).
% 19.07/19.00 thf(c_0_49, plain, p6, inference(split_conjunct,[status(thm)],[ax514])).
% 19.07/19.00 thf(c_0_50, plain, (~p8|fmember_real @ (fuminus_uminus_real @ ftt) @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt))), inference(fof_nnf,[status(thm)],[pax8])).
% 19.07/19.00 thf(c_0_51, plain, ((fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt)=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss)|~p3), inference(split_conjunct,[status(thm)],[c_0_36])).
% 19.07/19.00 thf(c_0_52, plain, p3, inference(split_conjunct,[status(thm)],[ax517])).
% 19.07/19.00 thf(c_0_53, plain, ![X2:real, X1:a]:((fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1 @ X2) @ (fminus_minus_real @ fzero_zero_real @ X2))=(X1)|~p24|~fmember_real @ X2 @ (fauto_l612940ivl0_a @ ff @ fx @ X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
% 19.07/19.00 thf(c_0_54, plain, p24, inference(split_conjunct,[status(thm)],[ax496])).
% 19.07/19.00 thf(c_0_55, plain, (fmember_real @ ftt @ (fauto_l612940ivl0_a @ ff @ fx @ fxx)|~p5), inference(split_conjunct,[status(thm)],[c_0_38])).
% 19.07/19.00 thf(c_0_56, plain, p5, inference(split_conjunct,[status(thm)],[ax515])).
% 19.07/19.00 thf(c_0_57, plain, ![X709:real]:(~p293|(fminus_minus_real @ fzero_zero_real @ (fuminus_uminus_real @ X709))=(fplus_plus_real @ fzero_zero_real @ X709)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax293])])])).
% 19.07/19.00 thf(c_0_58, plain, ![X2:real]:((fplus_plus_real @ (fuminus_uminus_real @ fzero_zero_real) @ X2)=(fminus_minus_real @ X2 @ fzero_zero_real)|~p300), inference(split_conjunct,[status(thm)],[c_0_39])).
% 19.07/19.00 thf(c_0_59, plain, ![X2:real]:(fminus_minus_real @ X2 @ fzero_zero_real)=(X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
% 19.07/19.00 thf(c_0_60, plain, p300, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 19.07/19.00 thf(c_0_61, plain, (p293|~p109), inference(split_conjunct,[status(thm)],[c_0_44])).
% 19.07/19.00 thf(c_0_62, plain, ((fxx)!=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ (fminus_minus_real @ fss @ ftt))|p131), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax131])])).
% 19.07/19.00 thf(c_0_63, plain, ~p131, inference(fof_simplification,[status(thm)],[ax389])).
% 19.07/19.00 thf(c_0_64, plain, ![X3:real, X2:real, X1:a]:((fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1 @ X2) @ X3)=(fauto_ll_on_flow0_a @ ff @ fx @ X1 @ (fminus_minus_real @ X2 @ (fminus_minus_real @ fzero_zero_real @ X3)))|~fmember_real @ X3 @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1 @ X2))|~fmember_real @ X2 @ (fauto_l612940ivl0_a @ ff @ fx @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46]), c_0_47])])).
% 19.07/19.00 thf(c_0_65, plain, fmember_real @ fss @ (fauto_l612940ivl0_a @ ff @ fx @ fx2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 19.07/19.00 thf(c_0_66, plain, (fmember_real @ (fuminus_uminus_real @ ftt) @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt))|~p8), inference(split_conjunct,[status(thm)],[c_0_50])).
% 19.07/19.00 thf(c_0_67, plain, (fauto_ll_on_flow0_a @ ff @ fx @ fxx @ ftt)=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])).
% 19.07/19.00 thf(c_0_68, plain, p8, inference(split_conjunct,[status(thm)],[ax512])).
% 19.07/19.00 thf(c_0_69, plain, ![X2:real, X1:a]:((fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ X1 @ X2) @ (fminus_minus_real @ fzero_zero_real @ X2))=(X1)|~fmember_real @ X2 @ (fauto_l612940ivl0_a @ ff @ fx @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 19.07/19.00 thf(c_0_70, plain, fmember_real @ ftt @ (fauto_l612940ivl0_a @ ff @ fx @ fxx), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 19.07/19.00 thf(c_0_71, plain, ![X2:real]:((fminus_minus_real @ fzero_zero_real @ (fuminus_uminus_real @ X2))=(fplus_plus_real @ fzero_zero_real @ X2)|~p293), inference(split_conjunct,[status(thm)],[c_0_57])).
% 19.07/19.00 thf(c_0_72, plain, ![X2:real]:(fplus_plus_real @ fzero_zero_real @ X2)=(X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_33]), c_0_59]), c_0_59]), c_0_60])])).
% 19.07/19.00 thf(c_0_73, plain, p293, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_34])])).
% 19.07/19.00 thf(c_0_74, plain, (p131|(fxx)!=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ (fminus_minus_real @ fss @ ftt))), inference(split_conjunct,[status(thm)],[c_0_62])).
% 19.07/19.00 thf(c_0_75, plain, ~p131, inference(split_conjunct,[status(thm)],[c_0_63])).
% 19.07/19.00 thf(c_0_76, plain, ![X2:real]:((fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss) @ X2)=(fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ (fminus_minus_real @ fss @ (fminus_minus_real @ fzero_zero_real @ X2)))|~fmember_real @ X2 @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 19.07/19.00 thf(c_0_77, plain, fmember_real @ (fminus_minus_real @ fzero_zero_real @ ftt) @ (fauto_l612940ivl0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_33]), c_0_67]), c_0_68])])).
% 19.07/19.00 thf(c_0_78, plain, (fauto_ll_on_flow0_a @ ff @ fx @ (fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ fss) @ (fminus_minus_real @ fzero_zero_real @ ftt))=(fxx), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_67])).
% 19.07/19.00 thf(c_0_79, plain, ![X2:real]:(fminus_minus_real @ fzero_zero_real @ (fminus_minus_real @ fzero_zero_real @ X2))=(X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_33]), c_0_72]), c_0_73])])).
% 19.07/19.00 thf(c_0_80, plain, (fauto_ll_on_flow0_a @ ff @ fx @ fx2 @ (fminus_minus_real @ fss @ ftt))!=(fxx), inference(sr,[status(thm)],[c_0_74, c_0_75])).
% 19.07/19.00 thf(c_0_81, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_78]), c_0_79]), c_0_80]), ['proof']).
% 19.07/19.00 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 19.07/19.00 thf(0,theorem,(xx = ((((auto_ll_on_flow0_a @ f) @ x) @ x2) @ ((minus_minus_real @ ss) @ tt))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 19.07/19.00 % SZS output end Proof
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