TSTP Solution File: SEU897^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU897^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n017.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 : Tue Jul 19 14:10:44 EDT 2022
% Result : Theorem 38.01s 38.34s
% Output : Proof 38.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU897^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n017.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 : Sun Jun 19 01:49:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 38.01/38.34 % SZS status Theorem
% 38.01/38.34 % Mode: mode485
% 38.01/38.34 % Inferences: 716
% 38.01/38.34 % SZS output start Proof
% 38.01/38.34 thf(cTHM30_pme,conjecture,((![X1:a]:((cR @ X1) => (cS @ X1))) = (![X1:a>a]:(![X2:a]:((~((![X3:a]:((cR @ X3) => (~((X2 = (X1 @ X3)))))))) => (~((![X3:a]:((cS @ X3) => (~((X2 = (X1 @ X3))))))))))))).
% 38.01/38.34 thf(h0,negated_conjecture,(~(((![X1:a]:((cR @ X1) => (cS @ X1))) = (![X1:a>a]:(![X2:a]:((~((![X3:a]:((cR @ X3) => (~((X2 = (X1 @ X3)))))))) => (~((![X3:a]:((cS @ X3) => (~((X2 = (X1 @ X3)))))))))))))),inference(assume_negation,[status(cth)],[cTHM30_pme])).
% 38.01/38.34 thf(ax1383, axiom, (p1|~(p8)|~(p9)), file('<stdin>', ax1383)).
% 38.01/38.34 thf(ax1392, axiom, ~(p1), file('<stdin>', ax1392)).
% 38.01/38.34 thf(ax1343, axiom, (~(p36)|~(p34)|~(p28)), file('<stdin>', ax1343)).
% 38.01/38.34 thf(ax1350, axiom, (~(p19)|p36), file('<stdin>', ax1350)).
% 38.01/38.34 thf(ax1352, axiom, (~(p35)|~(p27)|p34), file('<stdin>', ax1352)).
% 38.01/38.34 thf(ax1351, axiom, (~(p8)|p35), file('<stdin>', ax1351)).
% 38.01/38.34 thf(ax1376, axiom, (p11|~(p15)), file('<stdin>', ax1376)).
% 38.01/38.34 thf(ax1372, axiom, (p15|~(p18)), file('<stdin>', ax1372)).
% 38.01/38.34 thf(ax1368, axiom, (p18|~(p20)), file('<stdin>', ax1368)).
% 38.01/38.34 thf(ax1381, axiom, (p9|~(p11)), file('<stdin>', ax1381)).
% 38.01/38.34 thf(ax1338, axiom, (~(p9)|p46), file('<stdin>', ax1338)).
% 38.01/38.34 thf(ax1384, axiom, (p1|p8|p9), file('<stdin>', ax1384)).
% 38.01/38.34 thf(ax1377, axiom, (~(p9)|p11), file('<stdin>', ax1377)).
% 38.01/38.34 thf(ax1361, axiom, (p20|p27), file('<stdin>', ax1361)).
% 38.01/38.34 thf(ax1360, axiom, (p20|p28), file('<stdin>', ax1360)).
% 38.01/38.34 thf(nax284, axiom, (p284<=(f__0)=(f__0)), file('<stdin>', nax284)).
% 38.01/38.34 thf(ax1382, axiom, (p8|~(p10)), file('<stdin>', ax1382)).
% 38.01/38.34 thf(ax1371, axiom, (p15|p19), file('<stdin>', ax1371)).
% 38.01/38.34 thf(ax1056, axiom, (~(p285)|~(p13)|~(p284)), file('<stdin>', ax1056)).
% 38.01/38.34 thf(ax1379, axiom, (p10|p13), file('<stdin>', ax1379)).
% 38.01/38.34 thf(ax1055, axiom, (~(p153)|p285), file('<stdin>', ax1055)).
% 38.01/38.34 thf(ax1214, axiom, (~(p78)|p153|~(p154)), file('<stdin>', ax1214)).
% 38.01/38.34 thf(ax1045, axiom, (p154|~(p295)), file('<stdin>', ax1045)).
% 38.01/38.34 thf(ax1302, axiom, (~(p46)|p78), file('<stdin>', ax1302)).
% 38.01/38.34 thf(nax10, axiom, (p10<=(fcR @ f__0=>fcS @ f__0)), file('<stdin>', nax10)).
% 38.01/38.34 thf(nax295, axiom, (p295<=(fcS @ f__7=>~((f__0)=(f__7)))), file('<stdin>', nax295)).
% 38.01/38.34 thf(pax823, axiom, (p823=>fcS @ f__7), file('<stdin>', pax823)).
% 38.01/38.34 thf(ax387, axiom, (p295|p823), file('<stdin>', ax387)).
% 38.01/38.34 thf(c_0_28, plain, (p1|~p8|~p9), inference(fof_simplification,[status(thm)],[ax1383])).
% 38.01/38.34 thf(c_0_29, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1392])).
% 38.01/38.34 thf(c_0_30, plain, (~p36|~p34|~p28), inference(fof_simplification,[status(thm)],[ax1343])).
% 38.01/38.34 thf(c_0_31, plain, (~p19|p36), inference(fof_simplification,[status(thm)],[ax1350])).
% 38.01/38.34 thf(c_0_32, plain, (~p35|~p27|p34), inference(fof_simplification,[status(thm)],[ax1352])).
% 38.01/38.34 thf(c_0_33, plain, (~p8|p35), inference(fof_simplification,[status(thm)],[ax1351])).
% 38.01/38.34 thf(c_0_34, plain, (p11|~p15), inference(fof_simplification,[status(thm)],[ax1376])).
% 38.01/38.34 thf(c_0_35, plain, (p15|~p18), inference(fof_simplification,[status(thm)],[ax1372])).
% 38.01/38.34 thf(c_0_36, plain, (p18|~p20), inference(fof_simplification,[status(thm)],[ax1368])).
% 38.01/38.34 thf(c_0_37, plain, (p1|~p8|~p9), inference(split_conjunct,[status(thm)],[c_0_28])).
% 38.01/38.34 thf(c_0_38, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_29])).
% 38.01/38.34 thf(c_0_39, plain, (p9|~p11), inference(fof_simplification,[status(thm)],[ax1381])).
% 38.01/38.34 thf(c_0_40, plain, (~p9|p46), inference(fof_simplification,[status(thm)],[ax1338])).
% 38.01/38.34 thf(c_0_41, plain, (p1|p8|p9), inference(split_conjunct,[status(thm)],[ax1384])).
% 38.01/38.34 thf(c_0_42, plain, (~p36|~p34|~p28), inference(split_conjunct,[status(thm)],[c_0_30])).
% 38.01/38.34 thf(c_0_43, plain, (p36|~p19), inference(split_conjunct,[status(thm)],[c_0_31])).
% 38.01/38.34 thf(c_0_44, plain, (p34|~p35|~p27), inference(split_conjunct,[status(thm)],[c_0_32])).
% 38.01/38.34 thf(c_0_45, plain, (p35|~p8), inference(split_conjunct,[status(thm)],[c_0_33])).
% 38.01/38.34 thf(c_0_46, plain, (~p9|p11), inference(fof_simplification,[status(thm)],[ax1377])).
% 38.01/38.34 thf(c_0_47, plain, (p11|~p15), inference(split_conjunct,[status(thm)],[c_0_34])).
% 38.01/38.34 thf(c_0_48, plain, (p15|~p18), inference(split_conjunct,[status(thm)],[c_0_35])).
% 38.01/38.34 thf(c_0_49, plain, (p18|~p20), inference(split_conjunct,[status(thm)],[c_0_36])).
% 38.01/38.34 thf(c_0_50, plain, (p20|p27), inference(split_conjunct,[status(thm)],[ax1361])).
% 38.01/38.34 thf(c_0_51, plain, (p20|p28), inference(split_conjunct,[status(thm)],[ax1360])).
% 38.01/38.34 thf(c_0_52, plain, ((f__0)!=(f__0)|p284), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax284])])).
% 38.01/38.34 thf(c_0_53, plain, (p8|~p10), inference(fof_simplification,[status(thm)],[ax1382])).
% 38.01/38.34 thf(c_0_54, plain, (~p8|~p9), inference(sr,[status(thm)],[c_0_37, c_0_38])).
% 38.01/38.34 thf(c_0_55, plain, (p9|~p11), inference(split_conjunct,[status(thm)],[c_0_39])).
% 38.01/38.34 thf(c_0_56, plain, (p46|~p9), inference(split_conjunct,[status(thm)],[c_0_40])).
% 38.01/38.34 thf(c_0_57, plain, (p9|p8), inference(sr,[status(thm)],[c_0_41, c_0_38])).
% 38.01/38.34 thf(c_0_58, plain, (~p28|~p34|~p19), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 38.01/38.34 thf(c_0_59, plain, (p34|~p27|~p8), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 38.01/38.34 thf(c_0_60, plain, (p11|~p9), inference(split_conjunct,[status(thm)],[c_0_46])).
% 38.01/38.34 thf(c_0_61, plain, (p11|~p18), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 38.01/38.34 thf(c_0_62, plain, (p27|p18), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 38.01/38.34 thf(c_0_63, plain, (p15|p19), inference(split_conjunct,[status(thm)],[ax1371])).
% 38.01/38.34 thf(c_0_64, plain, (p28|p18), inference(spm,[status(thm)],[c_0_49, c_0_51])).
% 38.01/38.34 thf(c_0_65, plain, (~p285|~p13|~p284), inference(fof_simplification,[status(thm)],[ax1056])).
% 38.01/38.34 thf(c_0_66, plain, (p284|(f__0)!=(f__0)), inference(split_conjunct,[status(thm)],[c_0_52])).
% 38.01/38.34 thf(c_0_67, plain, (p8|~p10), inference(split_conjunct,[status(thm)],[c_0_53])).
% 38.01/38.34 thf(c_0_68, plain, (p10|p13), inference(split_conjunct,[status(thm)],[ax1379])).
% 38.01/38.34 thf(c_0_69, plain, (~p8|~p11), inference(spm,[status(thm)],[c_0_54, c_0_55])).
% 38.01/38.34 thf(c_0_70, plain, (p8|p46), inference(spm,[status(thm)],[c_0_56, c_0_57])).
% 38.01/38.34 thf(c_0_71, plain, (~p28|~p19|~p27|~p8), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 38.01/38.34 thf(c_0_72, plain, (p8|p11), inference(spm,[status(thm)],[c_0_60, c_0_57])).
% 38.01/38.34 thf(c_0_73, plain, (p27|p11), inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 38.01/38.34 thf(c_0_74, plain, (p19|p11), inference(spm,[status(thm)],[c_0_47, c_0_63])).
% 38.01/38.34 thf(c_0_75, plain, (p28|p11), inference(spm,[status(thm)],[c_0_61, c_0_64])).
% 38.01/38.34 thf(c_0_76, plain, (~p285|~p13|~p284), inference(split_conjunct,[status(thm)],[c_0_65])).
% 38.01/38.34 thf(c_0_77, plain, p284, inference(cn,[status(thm)],[c_0_66])).
% 38.01/38.34 thf(c_0_78, plain, (~p153|p285), inference(fof_simplification,[status(thm)],[ax1055])).
% 38.01/38.34 thf(c_0_79, plain, (p13|p8), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 38.01/38.34 thf(c_0_80, plain, (~p78|p153|~p154), inference(fof_simplification,[status(thm)],[ax1214])).
% 38.01/38.34 thf(c_0_81, plain, (p154|~p295), inference(fof_simplification,[status(thm)],[ax1045])).
% 38.01/38.34 thf(c_0_82, plain, (~p46|p78), inference(fof_simplification,[status(thm)],[ax1302])).
% 38.01/38.34 thf(c_0_83, plain, (p46|~p11), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 38.01/38.34 thf(c_0_84, plain, p11, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73]), c_0_74]), c_0_75])).
% 38.01/38.34 thf(c_0_85, plain, (~p13|~p285), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 38.01/38.34 thf(c_0_86, plain, (p285|~p153), inference(split_conjunct,[status(thm)],[c_0_78])).
% 38.01/38.34 thf(c_0_87, plain, (p13|~p11), inference(spm,[status(thm)],[c_0_69, c_0_79])).
% 38.01/38.34 thf(c_0_88, plain, ((fcR @ f__0|p10)&(~fcS @ f__0|p10)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax10])])])).
% 38.01/38.34 thf(c_0_89, plain, (p153|~p78|~p154), inference(split_conjunct,[status(thm)],[c_0_80])).
% 38.01/38.34 thf(c_0_90, plain, (p154|~p295), inference(split_conjunct,[status(thm)],[c_0_81])).
% 38.01/38.34 thf(c_0_91, plain, (p78|~p46), inference(split_conjunct,[status(thm)],[c_0_82])).
% 38.01/38.34 thf(c_0_92, plain, p46, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84])])).
% 38.01/38.34 thf(c_0_93, plain, (~p13|~p153), inference(spm,[status(thm)],[c_0_85, c_0_86])).
% 38.01/38.34 thf(c_0_94, plain, p13, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_84])])).
% 38.01/38.34 thf(c_0_95, plain, (p10|~fcS @ f__0), inference(split_conjunct,[status(thm)],[c_0_88])).
% 38.01/38.34 thf(c_0_96, plain, ((fcS @ f__7|p295)&((f__0)=(f__7)|p295)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax295])])])).
% 38.01/38.34 thf(c_0_97, plain, (p153|~p78|~p295), inference(spm,[status(thm)],[c_0_89, c_0_90])).
% 38.01/38.34 thf(c_0_98, plain, p78, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])).
% 38.01/38.34 thf(c_0_99, plain, ~p153, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 38.01/38.34 thf(c_0_100, plain, (p8|~fcS @ f__0), inference(spm,[status(thm)],[c_0_67, c_0_95])).
% 38.01/38.34 thf(c_0_101, plain, (~p823|fcS @ f__7), inference(fof_nnf,[status(thm)],[pax823])).
% 38.01/38.34 thf(c_0_102, plain, ((f__0)=(f__7)|p295), inference(split_conjunct,[status(thm)],[c_0_96])).
% 38.01/38.34 thf(c_0_103, plain, ~p295, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98])]), c_0_99])).
% 38.01/38.34 thf(c_0_104, plain, (p295|p823), inference(split_conjunct,[status(thm)],[ax387])).
% 38.01/38.34 thf(c_0_105, plain, (~fcS @ f__0|~p11), inference(spm,[status(thm)],[c_0_69, c_0_100])).
% 38.01/38.34 thf(c_0_106, plain, (fcS @ f__7|~p823), inference(split_conjunct,[status(thm)],[c_0_101])).
% 38.01/38.34 thf(c_0_107, plain, (f__7)=(f__0), inference(sr,[status(thm)],[c_0_102, c_0_103])).
% 38.01/38.34 thf(c_0_108, plain, p823, inference(sr,[status(thm)],[c_0_104, c_0_103])).
% 38.01/38.34 thf(c_0_109, plain, ~fcS @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_84])])).
% 38.01/38.34 thf(c_0_110, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107]), c_0_108])]), c_0_109]), ['proof']).
% 38.01/38.34 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 38.01/38.34 thf(0,theorem,((![X1:a]:((cR @ X1) => (cS @ X1))) = (![X1:a>a]:(![X2:a]:((~((![X3:a]:((cR @ X3) => (~((X2 = (X1 @ X3)))))))) => (~((![X3:a]:((cS @ X3) => (~((X2 = (X1 @ X3)))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 38.01/38.34 % SZS output end Proof
%------------------------------------------------------------------------------