TSTP Solution File: PHI008^4 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PHI008^4 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n018.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 : Mon Jul 18 16:48:36 EDT 2022
% Result : Theorem 47.21s 47.41s
% Output : Proof 47.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PHI008^4 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 01:27:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 47.21/47.41 % SZS status Theorem
% 47.21/47.41 % Mode: mode371
% 47.21/47.41 % Inferences: 116
% 47.21/47.41 % SZS output start Proof
% 47.21/47.41 thf(conj_0,conjecture,(![X1:qML_i]:(![X2:qML_i>$o]:((X2 @ X1) => ((!!) @ X2))))).
% 47.21/47.41 thf(h0,negated_conjecture,(~((![X1:qML_i]:(![X2:qML_i>$o]:((X2 @ X1) => ((!!) @ X2)))))),inference(assume_negation,[status(cth)],[conj_0])).
% 47.21/47.41 thf(ax251, axiom, (~(p73)|p72), file('<stdin>', ax251)).
% 47.21/47.41 thf(ax273, axiom, (~(p6)|p46), file('<stdin>', ax273)).
% 47.21/47.41 thf(ax250, axiom, (~(p72)|p71), file('<stdin>', ax250)).
% 47.21/47.41 thf(ax252, axiom, p73, file('<stdin>', ax252)).
% 47.21/47.41 thf(ax246, axiom, (~(p46)|p68), file('<stdin>', ax246)).
% 47.21/47.41 thf(ax316, axiom, p6, file('<stdin>', ax316)).
% 47.21/47.41 thf(ax249, axiom, (~(p71)|~(p11)|p70), file('<stdin>', ax249)).
% 47.21/47.41 thf(ax285, axiom, (~(p4)|p35), file('<stdin>', ax285)).
% 47.21/47.41 thf(ax247, axiom, (~(p69)|~(p68)|p67), file('<stdin>', ax247)).
% 47.21/47.41 thf(ax248, axiom, (~(p70)|p69), file('<stdin>', ax248)).
% 47.21/47.41 thf(ax311, axiom, p11, file('<stdin>', ax311)).
% 47.21/47.41 thf(ax284, axiom, (~(p35)|~(p36)), file('<stdin>', ax284)).
% 47.21/47.41 thf(ax318, axiom, p4, file('<stdin>', ax318)).
% 47.21/47.41 thf(ax243, axiom, (~(p67)|p76), file('<stdin>', ax243)).
% 47.21/47.41 thf(ax309, axiom, (p1|~(p13)), file('<stdin>', ax309)).
% 47.21/47.41 thf(ax321, axiom, ~(p1), file('<stdin>', ax321)).
% 47.21/47.41 thf(ax85, axiom, (~(p212)|~(p210)|~(p211)), file('<stdin>', ax85)).
% 47.21/47.41 thf(ax86, axiom, (p36|p210), file('<stdin>', ax86)).
% 47.21/47.41 thf(ax84, axiom, (~(p76)|p212), file('<stdin>', ax84)).
% 47.21/47.41 thf(ax308, axiom, (p13|~(p14)), file('<stdin>', ax308)).
% 47.21/47.41 thf(ax306, axiom, (p14|~(p16)), file('<stdin>', ax306)).
% 47.21/47.41 thf(ax304, axiom, (~(p15)|p17|~(p18)), file('<stdin>', ax304)).
% 47.21/47.41 thf(ax307, axiom, (p14|p15), file('<stdin>', ax307)).
% 47.21/47.41 thf(ax305, axiom, (p16|~(p17)), file('<stdin>', ax305)).
% 47.21/47.41 thf(pax284, axiom, (p284=>((f__0)=(f__0)=>![X1:qML_i, X2:qML_mu]:(fscott_G @ X2 @ X1=>(X1)=(f__0)))), file('<stdin>', pax284)).
% 47.21/47.41 thf(ax3, axiom, (~(p239)|p284), file('<stdin>', ax3)).
% 47.21/47.41 thf(ax56, axiom, (p211|p239), file('<stdin>', ax56)).
% 47.21/47.41 thf(ax283, axiom, (~(p35)|~(p37)), file('<stdin>', ax283)).
% 47.21/47.41 thf(nax37, axiom, (p37<=![X3:qML_mu]:~(fscott_G @ X3 @ f__2)), file('<stdin>', nax37)).
% 47.21/47.41 thf(nax18, axiom, (p18<=(f__0)=(f__2)), file('<stdin>', nax18)).
% 47.21/47.41 thf(c_0_30, plain, (~p73|p72), inference(fof_simplification,[status(thm)],[ax251])).
% 47.21/47.41 thf(c_0_31, plain, (~p6|p46), inference(fof_simplification,[status(thm)],[ax273])).
% 47.21/47.41 thf(c_0_32, plain, (~p72|p71), inference(fof_simplification,[status(thm)],[ax250])).
% 47.21/47.41 thf(c_0_33, plain, (p72|~p73), inference(split_conjunct,[status(thm)],[c_0_30])).
% 47.21/47.41 thf(c_0_34, plain, p73, inference(split_conjunct,[status(thm)],[ax252])).
% 47.21/47.41 thf(c_0_35, plain, (~p46|p68), inference(fof_simplification,[status(thm)],[ax246])).
% 47.21/47.41 thf(c_0_36, plain, (p46|~p6), inference(split_conjunct,[status(thm)],[c_0_31])).
% 47.21/47.41 thf(c_0_37, plain, p6, inference(split_conjunct,[status(thm)],[ax316])).
% 47.21/47.41 thf(c_0_38, plain, (~p71|~p11|p70), inference(fof_simplification,[status(thm)],[ax249])).
% 47.21/47.41 thf(c_0_39, plain, (p71|~p72), inference(split_conjunct,[status(thm)],[c_0_32])).
% 47.21/47.41 thf(c_0_40, plain, p72, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 47.21/47.41 thf(c_0_41, plain, (~p4|p35), inference(fof_simplification,[status(thm)],[ax285])).
% 47.21/47.41 thf(c_0_42, plain, (~p69|~p68|p67), inference(fof_simplification,[status(thm)],[ax247])).
% 47.21/47.41 thf(c_0_43, plain, (p68|~p46), inference(split_conjunct,[status(thm)],[c_0_35])).
% 47.21/47.41 thf(c_0_44, plain, p46, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 47.21/47.41 thf(c_0_45, plain, (~p70|p69), inference(fof_simplification,[status(thm)],[ax248])).
% 47.21/47.41 thf(c_0_46, plain, (p70|~p71|~p11), inference(split_conjunct,[status(thm)],[c_0_38])).
% 47.21/47.41 thf(c_0_47, plain, p11, inference(split_conjunct,[status(thm)],[ax311])).
% 47.21/47.41 thf(c_0_48, plain, p71, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 47.21/47.41 thf(c_0_49, plain, (~p35|~p36), inference(fof_simplification,[status(thm)],[ax284])).
% 47.21/47.41 thf(c_0_50, plain, (p35|~p4), inference(split_conjunct,[status(thm)],[c_0_41])).
% 47.21/47.41 thf(c_0_51, plain, p4, inference(split_conjunct,[status(thm)],[ax318])).
% 47.21/47.41 thf(c_0_52, plain, (p67|~p69|~p68), inference(split_conjunct,[status(thm)],[c_0_42])).
% 47.21/47.41 thf(c_0_53, plain, p68, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 47.21/47.41 thf(c_0_54, plain, (p69|~p70), inference(split_conjunct,[status(thm)],[c_0_45])).
% 47.21/47.41 thf(c_0_55, plain, p70, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47]), c_0_48])])).
% 47.21/47.41 thf(c_0_56, plain, (~p35|~p36), inference(split_conjunct,[status(thm)],[c_0_49])).
% 47.21/47.41 thf(c_0_57, plain, p35, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
% 47.21/47.41 thf(c_0_58, plain, (~p67|p76), inference(fof_simplification,[status(thm)],[ax243])).
% 47.21/47.41 thf(c_0_59, plain, (p67|~p69), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
% 47.21/47.41 thf(c_0_60, plain, p69, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 47.21/47.41 thf(c_0_61, plain, (p1|~p13), inference(fof_simplification,[status(thm)],[ax309])).
% 47.21/47.41 thf(c_0_62, plain, ~p1, inference(fof_simplification,[status(thm)],[ax321])).
% 47.21/47.41 thf(c_0_63, plain, (~p212|~p210|~p211), inference(fof_simplification,[status(thm)],[ax85])).
% 47.21/47.41 thf(c_0_64, plain, (p36|p210), inference(split_conjunct,[status(thm)],[ax86])).
% 47.21/47.41 thf(c_0_65, plain, ~p36, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 47.21/47.41 thf(c_0_66, plain, (~p76|p212), inference(fof_simplification,[status(thm)],[ax84])).
% 47.21/47.41 thf(c_0_67, plain, (p76|~p67), inference(split_conjunct,[status(thm)],[c_0_58])).
% 47.21/47.41 thf(c_0_68, plain, p67, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])])).
% 47.21/47.41 thf(c_0_69, plain, (p13|~p14), inference(fof_simplification,[status(thm)],[ax308])).
% 47.21/47.41 thf(c_0_70, plain, (p1|~p13), inference(split_conjunct,[status(thm)],[c_0_61])).
% 47.21/47.41 thf(c_0_71, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_62])).
% 47.21/47.41 thf(c_0_72, plain, (~p212|~p210|~p211), inference(split_conjunct,[status(thm)],[c_0_63])).
% 47.21/47.41 thf(c_0_73, plain, p210, inference(sr,[status(thm)],[c_0_64, c_0_65])).
% 47.21/47.41 thf(c_0_74, plain, (p212|~p76), inference(split_conjunct,[status(thm)],[c_0_66])).
% 47.21/47.41 thf(c_0_75, plain, p76, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 47.21/47.41 thf(c_0_76, plain, (p13|~p14), inference(split_conjunct,[status(thm)],[c_0_69])).
% 47.21/47.41 thf(c_0_77, plain, ~p13, inference(sr,[status(thm)],[c_0_70, c_0_71])).
% 47.21/47.41 thf(c_0_78, plain, (p14|~p16), inference(fof_simplification,[status(thm)],[ax306])).
% 47.21/47.41 thf(c_0_79, plain, (~p211|~p212), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])).
% 47.21/47.41 thf(c_0_80, plain, p212, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
% 47.21/47.41 thf(c_0_81, plain, (~p15|p17|~p18), inference(fof_simplification,[status(thm)],[ax304])).
% 47.21/47.41 thf(c_0_82, plain, (p14|p15), inference(split_conjunct,[status(thm)],[ax307])).
% 47.21/47.41 thf(c_0_83, plain, ~p14, inference(sr,[status(thm)],[c_0_76, c_0_77])).
% 47.21/47.41 thf(c_0_84, plain, (p16|~p17), inference(fof_simplification,[status(thm)],[ax305])).
% 47.21/47.41 thf(c_0_85, plain, (p14|~p16), inference(split_conjunct,[status(thm)],[c_0_78])).
% 47.21/47.41 thf(c_0_86, plain, ![X23:qML_i, X24:qML_mu]:(~p284|((f__0)!=(f__0)|(~fscott_G @ X24 @ X23|(X23)=(f__0)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax284])])])).
% 47.21/47.41 thf(c_0_87, plain, (~p239|p284), inference(fof_simplification,[status(thm)],[ax3])).
% 47.21/47.41 thf(c_0_88, plain, (p211|p239), inference(split_conjunct,[status(thm)],[ax56])).
% 47.21/47.41 thf(c_0_89, plain, ~p211, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])])).
% 47.21/47.41 thf(c_0_90, plain, (~p35|~p37), inference(fof_simplification,[status(thm)],[ax283])).
% 47.21/47.41 thf(c_0_91, plain, (p17|~p15|~p18), inference(split_conjunct,[status(thm)],[c_0_81])).
% 47.21/47.41 thf(c_0_92, plain, p15, inference(sr,[status(thm)],[c_0_82, c_0_83])).
% 47.21/47.41 thf(c_0_93, plain, (p16|~p17), inference(split_conjunct,[status(thm)],[c_0_84])).
% 47.21/47.41 thf(c_0_94, plain, ~p16, inference(sr,[status(thm)],[c_0_85, c_0_83])).
% 47.21/47.41 thf(c_0_95, plain, ![X2:qML_mu, X1:qML_i]:((X1)=(f__0)|~p284|(f__0)!=(f__0)|~fscott_G @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_86])).
% 47.21/47.41 thf(c_0_96, plain, (p284|~p239), inference(split_conjunct,[status(thm)],[c_0_87])).
% 47.21/47.41 thf(c_0_97, plain, p239, inference(sr,[status(thm)],[c_0_88, c_0_89])).
% 47.21/47.41 thf(c_0_98, plain, (fscott_G @ esk13_0 @ f__2|p37), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax37])])])])).
% 47.21/47.41 thf(c_0_99, plain, (~p35|~p37), inference(split_conjunct,[status(thm)],[c_0_90])).
% 47.21/47.41 thf(c_0_100, plain, ((f__0)!=(f__2)|p18), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax18])])).
% 47.21/47.41 thf(c_0_101, plain, (p17|~p18), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])).
% 47.21/47.41 thf(c_0_102, plain, ~p17, inference(sr,[status(thm)],[c_0_93, c_0_94])).
% 47.21/47.41 thf(c_0_103, plain, ![X2:qML_mu, X1:qML_i]:((X1)=(f__0)|~p284|~fscott_G @ X2 @ X1), inference(cn,[status(thm)],[c_0_95])).
% 47.21/47.41 thf(c_0_104, plain, p284, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])])).
% 47.21/47.41 thf(c_0_105, plain, (fscott_G @ esk13_0 @ f__2|p37), inference(split_conjunct,[status(thm)],[c_0_98])).
% 47.21/47.41 thf(c_0_106, plain, ~p37, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99, c_0_57])])).
% 47.21/47.41 thf(c_0_107, plain, (p18|(f__0)!=(f__2)), inference(split_conjunct,[status(thm)],[c_0_100])).
% 47.21/47.41 thf(c_0_108, plain, ~p18, inference(sr,[status(thm)],[c_0_101, c_0_102])).
% 47.21/47.41 thf(c_0_109, plain, ![X2:qML_mu, X1:qML_i]:((X1)=(f__0)|~fscott_G @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])).
% 47.21/47.41 thf(c_0_110, plain, fscott_G @ esk13_0 @ f__2, inference(sr,[status(thm)],[c_0_105, c_0_106])).
% 47.21/47.41 thf(c_0_111, plain, (f__2)!=(f__0), inference(sr,[status(thm)],[c_0_107, c_0_108])).
% 47.21/47.41 thf(c_0_112, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_111]), ['proof']).
% 47.21/47.41 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 47.21/47.41 thf(0,theorem,(![X1:qML_i]:(![X2:qML_i>$o]:((X2 @ X1) => ((!!) @ X2)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 47.21/47.41 % SZS output end Proof
%------------------------------------------------------------------------------