TSTP Solution File: ITP183^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP183^1 : 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 : n019.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 00:29:25 EDT 2022
% Result : Theorem 4.72s 5.05s
% Output : Proof 4.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP183^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n019.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 08:39:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 4.72/5.05 % SZS status Theorem
% 4.72/5.05 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 4.72/5.05 % Inferences: 2
% 4.72/5.05 % SZS output start Proof
% 4.72/5.05 thf(conj_0,conjecture,((late_transitions @ ((res @ x) @ ((sum @ p) @ q))) @ ((late_FreeR @ alpha) @ ((res @ x) @ q2)))).
% 4.72/5.05 thf(h0,negated_conjecture,(~(((late_transitions @ ((res @ x) @ ((sum @ p) @ q))) @ ((late_FreeR @ alpha) @ ((res @ x) @ q2))))),inference(assume_negation,[status(cth)],[conj_0])).
% 4.72/5.05 thf(pax107, axiom, (p107=>![X4:pi, X5:late_residual, X3:name, X6:name]:(flate_transitions @ X4 @ X5=>(~((X3)=(X6))=>flate_transitions @ (fmismatch @ X3 @ X6 @ X4) @ X5))), file('<stdin>', pax107)).
% 4.72/5.05 thf(pax9, axiom, (p9=>![X211:pi, X212:late_residual, X213:pi]:(flate_transitions @ X211 @ X212=>flate_transitions @ (fsum @ X213 @ X211) @ X212)), file('<stdin>', pax9)).
% 4.72/5.05 thf(pax106, axiom, (p106=>![X7:name, X8:name, X9:pi, X10:late_residual]:(flate_transitions @ (fmismatch @ X7 @ X8 @ X9) @ X10=>~(![X11:pi, X12:name, X13:name]:(~((~(((X7)=(X12)=>~((X8)=(X13))))=>~((X9)=(X11))))=>(flate_transitions @ X11 @ X10=>(X12)=(X13)))))), file('<stdin>', pax106)).
% 4.72/5.05 thf(ax7, axiom, p107, file('<stdin>', ax7)).
% 4.72/5.05 thf(ax105, axiom, p9, file('<stdin>', ax105)).
% 4.72/5.05 thf(pax3, axiom, (p3=>flate_transitions @ fq @ (flate_FreeR @ falpha @ fq2)), file('<stdin>', pax3)).
% 4.72/5.05 thf(ax8, axiom, p106, file('<stdin>', ax8)).
% 4.72/5.05 thf(ax111, axiom, p3, file('<stdin>', ax111)).
% 4.72/5.05 thf(pax103, axiom, (p103=>![X7:name, X16:name, X17:pi, X10:late_residual]:(flate_transitions @ (finput @ X7 @ X16 @ X17) @ X10=>~(![X18:name, X12:name, X19:pi]:(~(((X7)=(X12)=>~((fabs_fun_name_pi @ X16 @ X17)=(fabs_fun_name_pi @ X18 @ X19))))=>((X10)=(flate_BoundR @ (flate_InputS @ X12) @ X18 @ X19)=>(X18)=(X12)))))), file('<stdin>', pax103)).
% 4.72/5.05 thf(ax11, axiom, p103, file('<stdin>', ax11)).
% 4.72/5.05 thf(pax72, axiom, (p72=>![X72:name, X88:name, X89:pi]:flate_transitions @ (finput @ X72 @ X88 @ X89) @ (flate_BoundR @ (flate_InputS @ X72) @ X88 @ X89)), file('<stdin>', pax72)).
% 4.72/5.05 thf(pax12, axiom, (p12=>![X200:pi, X201:late_freeRes, X202:pi, X203:name]:(flate_transitions @ X200 @ (flate_FreeR @ X201 @ X202)=>(ffresh_1641682979reeRes @ X203 @ X201=>flate_transitions @ (fres @ X203 @ X200) @ (flate_FreeR @ X201 @ (fres @ X203 @ X202))))), file('<stdin>', pax12)).
% 4.72/5.05 thf(ax42, axiom, p72, file('<stdin>', ax42)).
% 4.72/5.05 thf(nax108, axiom, (p108<=flate_transitions @ (fres @ fx @ (fsum @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ fq2))), file('<stdin>', nax108)).
% 4.72/5.05 thf(ax6, axiom, ~(p108), file('<stdin>', ax6)).
% 4.72/5.05 thf(ax102, axiom, p12, file('<stdin>', ax102)).
% 4.72/5.05 thf(pax1, axiom, (p1=>ffresh_1641682979reeRes @ fx @ falpha), file('<stdin>', pax1)).
% 4.72/5.05 thf(ax113, axiom, p1, file('<stdin>', ax113)).
% 4.72/5.05 thf(c_0_18, plain, ![X259:pi, X260:late_residual, X261:name, X262:name]:(~p107|(~flate_transitions @ X259 @ X260|((X261)=(X262)|flate_transitions @ (fmismatch @ X261 @ X262 @ X259) @ X260))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax107])])])])).
% 4.72/5.05 thf(c_0_19, plain, ![X1093:pi, X1094:late_residual, X1095:pi]:(~p9|(~flate_transitions @ X1093 @ X1094|flate_transitions @ (fsum @ X1095 @ X1093) @ X1094)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 4.72/5.05 thf(c_0_20, plain, ![X267:name, X268:name, X269:pi, X270:late_residual]:(((((X267)=(esk27_4 @ X267 @ X268 @ X269 @ X270)|~flate_transitions @ (fmismatch @ X267 @ X268 @ X269) @ X270|~p106)&((X268)=(esk28_4 @ X267 @ X268 @ X269 @ X270)|~flate_transitions @ (fmismatch @ X267 @ X268 @ X269) @ X270|~p106))&((X269)=(esk26_4 @ X267 @ X268 @ X269 @ X270)|~flate_transitions @ (fmismatch @ X267 @ X268 @ X269) @ X270|~p106))&((flate_transitions @ (esk26_4 @ X267 @ X268 @ X269 @ X270) @ X270|~flate_transitions @ (fmismatch @ X267 @ X268 @ X269) @ X270|~p106)&((esk27_4 @ X267 @ X268 @ X269 @ X270)!=(esk28_4 @ X267 @ X268 @ X269 @ X270)|~flate_transitions @ (fmismatch @ X267 @ X268 @ X269) @ X270|~p106))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax106])])])])])])).
% 4.72/5.05 thf(c_0_21, plain, ![X3:name, X4:pi, X2:name, X1:late_residual]:((X2)=(X3)|flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1|~p107|~flate_transitions @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 4.72/5.05 thf(c_0_22, plain, p107, inference(split_conjunct,[status(thm)],[ax7])).
% 4.72/5.05 thf(c_0_23, plain, ![X9:pi, X4:pi, X1:late_residual]:(flate_transitions @ (fsum @ X9 @ X4) @ X1|~p9|~flate_transitions @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_19])).
% 4.72/5.05 thf(c_0_24, plain, p9, inference(split_conjunct,[status(thm)],[ax105])).
% 4.72/5.05 thf(c_0_25, plain, (~p3|flate_transitions @ fq @ (flate_FreeR @ falpha @ fq2)), inference(fof_nnf,[status(thm)],[pax3])).
% 4.72/5.05 thf(c_0_26, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:(flate_transitions @ (esk26_4 @ X2 @ X3 @ X4 @ X1) @ X1|~flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1|~p106), inference(split_conjunct,[status(thm)],[c_0_20])).
% 4.72/5.05 thf(c_0_27, plain, p106, inference(split_conjunct,[status(thm)],[ax8])).
% 4.72/5.05 thf(c_0_28, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:((X4)=(esk26_4 @ X2 @ X3 @ X4 @ X1)|~flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1|~p106), inference(split_conjunct,[status(thm)],[c_0_20])).
% 4.72/5.05 thf(c_0_29, plain, ![X3:name, X4:pi, X2:name, X1:late_residual]:((X2)=(X3)|flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1|~flate_transitions @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 4.72/5.05 thf(c_0_30, plain, ![X9:pi, X4:pi, X1:late_residual]:(flate_transitions @ (fsum @ X4 @ X9) @ X1|~flate_transitions @ X9 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 4.72/5.05 thf(c_0_31, plain, (flate_transitions @ fq @ (flate_FreeR @ falpha @ fq2)|~p3), inference(split_conjunct,[status(thm)],[c_0_25])).
% 4.72/5.05 thf(c_0_32, plain, p3, inference(split_conjunct,[status(thm)],[ax111])).
% 4.72/5.05 thf(c_0_33, plain, ![X287:name, X288:name, X289:pi, X290:late_residual]:((((X287)=(esk37_4 @ X287 @ X288 @ X289 @ X290)|~flate_transitions @ (finput @ X287 @ X288 @ X289) @ X290|~p103)&((fabs_fun_name_pi @ X288 @ X289)=(fabs_fun_name_pi @ (esk36_4 @ X287 @ X288 @ X289 @ X290) @ (esk38_4 @ X287 @ X288 @ X289 @ X290))|~flate_transitions @ (finput @ X287 @ X288 @ X289) @ X290|~p103))&(((X290)=(flate_BoundR @ (flate_InputS @ (esk37_4 @ X287 @ X288 @ X289 @ X290)) @ (esk36_4 @ X287 @ X288 @ X289 @ X290) @ (esk38_4 @ X287 @ X288 @ X289 @ X290))|~flate_transitions @ (finput @ X287 @ X288 @ X289) @ X290|~p103)&((esk36_4 @ X287 @ X288 @ X289 @ X290)!=(esk37_4 @ X287 @ X288 @ X289 @ X290)|~flate_transitions @ (finput @ X287 @ X288 @ X289) @ X290|~p103))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax103])])])])])])).
% 4.72/5.05 thf(c_0_34, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:(flate_transitions @ (esk26_4 @ X2 @ X3 @ X4 @ X1) @ X1|~flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 4.72/5.05 thf(c_0_35, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:((esk26_4 @ X2 @ X3 @ X4 @ X1)=(X4)|~flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_27])])).
% 4.72/5.05 thf(c_0_36, plain, ![X3:name, X4:pi, X9:pi, X2:name, X1:late_residual]:((X2)=(X3)|flate_transitions @ (fmismatch @ X2 @ X3 @ (fsum @ X4 @ X9)) @ X1|~flate_transitions @ X9 @ X1), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 4.72/5.05 thf(c_0_37, plain, flate_transitions @ fq @ (flate_FreeR @ falpha @ fq2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 4.72/5.05 thf(c_0_38, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:((esk36_4 @ X2 @ X3 @ X4 @ X1)!=(esk37_4 @ X2 @ X3 @ X4 @ X1)|~flate_transitions @ (finput @ X2 @ X3 @ X4) @ X1|~p103), inference(split_conjunct,[status(thm)],[c_0_33])).
% 4.72/5.05 thf(c_0_39, plain, p103, inference(split_conjunct,[status(thm)],[ax11])).
% 4.72/5.05 thf(c_0_40, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:(flate_transitions @ X4 @ X1|~flate_transitions @ (fmismatch @ X2 @ X3 @ X4) @ X1), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 4.72/5.05 thf(c_0_41, plain, ![X2:name, X3:name, X4:pi]:((X2)=(X3)|flate_transitions @ (fmismatch @ X2 @ X3 @ (fsum @ X4 @ fq)) @ (flate_FreeR @ falpha @ fq2)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 4.72/5.05 thf(c_0_42, plain, ![X593:name, X594:name, X595:pi]:(~p72|flate_transitions @ (finput @ X593 @ X594 @ X595) @ (flate_BoundR @ (flate_InputS @ X593) @ X594 @ X595)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax72])])])).
% 4.72/5.05 thf(c_0_43, plain, ![X1069:pi, X1070:late_freeRes, X1071:pi, X1072:name]:(~p12|(~flate_transitions @ X1069 @ (flate_FreeR @ X1070 @ X1071)|(~ffresh_1641682979reeRes @ X1072 @ X1070|flate_transitions @ (fres @ X1072 @ X1069) @ (flate_FreeR @ X1070 @ (fres @ X1072 @ X1071))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax12])])])).
% 4.72/5.05 thf(c_0_44, plain, ![X2:name, X4:pi, X3:name, X1:late_residual]:((esk36_4 @ X2 @ X3 @ X4 @ X1)!=(esk37_4 @ X2 @ X3 @ X4 @ X1)|~flate_transitions @ (finput @ X2 @ X3 @ X4) @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 4.72/5.05 thf(c_0_45, plain, ![X2:name, X3:name, X4:pi]:((X2)=(X3)|flate_transitions @ (fsum @ X4 @ fq) @ (flate_FreeR @ falpha @ fq2)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 4.72/5.05 thf(c_0_46, plain, ![X2:name, X3:name, X4:pi]:(flate_transitions @ (finput @ X2 @ X3 @ X4) @ (flate_BoundR @ (flate_InputS @ X2) @ X3 @ X4)|~p72), inference(split_conjunct,[status(thm)],[c_0_42])).
% 4.72/5.05 thf(c_0_47, plain, p72, inference(split_conjunct,[status(thm)],[ax42])).
% 4.72/5.05 thf(c_0_48, plain, (~flate_transitions @ (fres @ fx @ (fsum @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ fq2))|p108), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax108])])).
% 4.72/5.05 thf(c_0_49, plain, ~p108, inference(fof_simplification,[status(thm)],[ax6])).
% 4.72/5.05 thf(c_0_50, plain, ![X2:name, X9:pi, X4:pi, X43:late_freeRes]:(flate_transitions @ (fres @ X2 @ X4) @ (flate_FreeR @ X43 @ (fres @ X2 @ X9))|~p12|~flate_transitions @ X4 @ (flate_FreeR @ X43 @ X9)|~ffresh_1641682979reeRes @ X2 @ X43), inference(split_conjunct,[status(thm)],[c_0_43])).
% 4.72/5.05 thf(c_0_51, plain, p12, inference(split_conjunct,[status(thm)],[ax102])).
% 4.72/5.05 thf(c_0_52, plain, ![X3:name, X9:pi, X4:pi, X2:name, X1:late_residual]:(flate_transitions @ (fsum @ X4 @ fq) @ (flate_FreeR @ falpha @ fq2)|~flate_transitions @ (finput @ X2 @ X3 @ X9) @ X1), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45])])).
% 4.72/5.05 thf(c_0_53, plain, ![X2:name, X3:name, X4:pi]:flate_transitions @ (finput @ X2 @ X3 @ X4) @ (flate_BoundR @ (flate_InputS @ X2) @ X3 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 4.72/5.05 thf(c_0_54, plain, (~p1|ffresh_1641682979reeRes @ fx @ falpha), inference(fof_nnf,[status(thm)],[pax1])).
% 4.72/5.05 thf(c_0_55, plain, (p108|~flate_transitions @ (fres @ fx @ (fsum @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ fq2))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 4.72/5.05 thf(c_0_56, plain, ~p108, inference(split_conjunct,[status(thm)],[c_0_49])).
% 4.72/5.05 thf(c_0_57, plain, ![X2:name, X9:pi, X4:pi, X43:late_freeRes]:(flate_transitions @ (fres @ X2 @ X4) @ (flate_FreeR @ X43 @ (fres @ X2 @ X9))|~flate_transitions @ X4 @ (flate_FreeR @ X43 @ X9)|~ffresh_1641682979reeRes @ X2 @ X43), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
% 4.72/5.05 thf(c_0_58, plain, ![X4:pi]:flate_transitions @ (fsum @ X4 @ fq) @ (flate_FreeR @ falpha @ fq2), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 4.72/5.05 thf(c_0_59, plain, (ffresh_1641682979reeRes @ fx @ falpha|~p1), inference(split_conjunct,[status(thm)],[c_0_54])).
% 4.72/5.05 thf(c_0_60, plain, p1, inference(split_conjunct,[status(thm)],[ax113])).
% 4.72/5.05 thf(c_0_61, plain, ~flate_transitions @ (fres @ fx @ (fsum @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ fq2)), inference(sr,[status(thm)],[c_0_55, c_0_56])).
% 4.72/5.05 thf(c_0_62, plain, ![X4:pi, X2:name]:(flate_transitions @ (fres @ X2 @ (fsum @ X4 @ fq)) @ (flate_FreeR @ falpha @ (fres @ X2 @ fq2))|~ffresh_1641682979reeRes @ X2 @ falpha), inference(spm,[status(thm)],[c_0_57, c_0_58])).
% 4.72/5.05 thf(c_0_63, plain, ffresh_1641682979reeRes @ fx @ falpha, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])])).
% 4.72/5.05 thf(c_0_64, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])]), ['proof']).
% 4.72/5.05 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 4.72/5.05 thf(0,theorem,((late_transitions @ ((res @ x) @ ((sum @ p) @ q))) @ ((late_FreeR @ alpha) @ ((res @ x) @ q2))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 4.72/5.05 % SZS output end Proof
%------------------------------------------------------------------------------