TSTP Solution File: ITP160^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP160^1 : 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 : n021.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 00:29:19 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP160^1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n021.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 : Thu Jun 2 13:14:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.20/0.50 % Inferences: 9
% 0.20/0.50 % SZS output start Proof
% 0.20/0.50 thf(conj_0,conjecture,((member65788417nres_d @ ((produc1576596708nres_d @ refine436832839nd_a_b) @ refine2092371655nd_c_d)) @ ((relAPP511982311nres_d @ ((relAPP1396672239nres_d @ fun_re439246495nres_d) @ ((relAPP527276399nres_c @ refine737062560el_a_c) @ r1))) @ ((relAPP813854073nres_d @ ((relAPP98076839nres_d @ fun_re1394577105nres_d) @ ((relAPP900772393nres_d @ ((relAPP1270454529nres_d @ fun_re1760530651nres_d) @ r1)) @ ((relAPP1313094511nres_d @ refine1564831968el_b_d) @ r2)))) @ ((relAPP1313094511nres_d @ refine1564831968el_b_d) @ r2))))).
% 0.20/0.50 thf(h0,negated_conjecture,(~(((member65788417nres_d @ ((produc1576596708nres_d @ refine436832839nd_a_b) @ refine2092371655nd_c_d)) @ ((relAPP511982311nres_d @ ((relAPP1396672239nres_d @ fun_re439246495nres_d) @ ((relAPP527276399nres_c @ refine737062560el_a_c) @ r1))) @ ((relAPP813854073nres_d @ ((relAPP98076839nres_d @ fun_re1394577105nres_d) @ ((relAPP900772393nres_d @ ((relAPP1270454529nres_d @ fun_re1760530651nres_d) @ r1)) @ ((relAPP1313094511nres_d @ refine1564831968el_b_d) @ r2)))) @ ((relAPP1313094511nres_d @ refine1564831968el_b_d) @ r2)))))),inference(assume_negation,[status(cth)],[conj_0])).
% 0.20/0.50 thf(ax0, axiom, (~(p18)|p89), file('<stdin>', ax0)).
% 0.20/0.50 thf(pax89, axiom, (p89=>![X3:set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d]:(frelAPP1270454529nres_d @ X3)=(X3)), file('<stdin>', pax89)).
% 0.20/0.50 thf(ax72, axiom, p18, file('<stdin>', ax72)).
% 0.20/0.50 thf(nax25, axiom, (p25<=fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ fr1)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (frelAPP1270454529nres_d @ ffun_re1760530651nres_d @ fr1) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2)))), file('<stdin>', nax25)).
% 0.20/0.50 thf(ax65, axiom, ~(p25), file('<stdin>', ax65)).
% 0.20/0.50 thf(pax1, axiom, (p1=>![X54:set_Product_prod_a_c, X59:set_Product_prod_b_d]:fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ X54)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (frelAPP1270454529nres_d @ ffun_re1760530651nres_d @ X54) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X59))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X59)))), file('<stdin>', pax1)).
% 0.20/0.50 thf(ax89, axiom, p1, file('<stdin>', ax89)).
% 0.20/0.50 thf(c_0_7, plain, (~p18|p89), inference(fof_simplification,[status(thm)],[ax0])).
% 0.20/0.50 thf(c_0_8, plain, ![X66:set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d]:(~p89|(frelAPP1270454529nres_d @ X66)=(X66)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax89])])])).
% 0.20/0.50 thf(c_0_9, plain, (p89|~p18), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.20/0.50 thf(c_0_10, plain, p18, inference(split_conjunct,[status(thm)],[ax72])).
% 0.20/0.50 thf(c_0_11, plain, (~fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ fr1)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (frelAPP1270454529nres_d @ ffun_re1760530651nres_d @ fr1) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2)))|p25), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax25])])).
% 0.20/0.50 thf(c_0_12, plain, ![X3:set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d]:((frelAPP1270454529nres_d @ X3)=(X3)|~p89), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.20/0.50 thf(c_0_13, plain, p89, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 0.20/0.50 thf(c_0_14, plain, ~p25, inference(fof_simplification,[status(thm)],[ax65])).
% 0.20/0.50 thf(c_0_15, plain, ![X200:set_Product_prod_a_c, X201:set_Product_prod_b_d]:(~p1|fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ X200)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (frelAPP1270454529nres_d @ ffun_re1760530651nres_d @ X200) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X201))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X201)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.20/0.50 thf(c_0_16, plain, (p25|~fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ fr1)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (frelAPP1270454529nres_d @ ffun_re1760530651nres_d @ fr1) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2)))), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.20/0.50 thf(c_0_17, plain, ![X3:set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d]:(frelAPP1270454529nres_d @ X3)=(X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.20/0.50 thf(c_0_18, plain, ~p25, inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.20/0.50 thf(c_0_19, plain, ![X10:set_Product_prod_a_c, X59:set_Product_prod_b_d]:(fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ X10)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (frelAPP1270454529nres_d @ ffun_re1760530651nres_d @ X10) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X59))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X59)))|~p1), inference(split_conjunct,[status(thm)],[c_0_15])).
% 0.20/0.50 thf(c_0_20, plain, p1, inference(split_conjunct,[status(thm)],[ax89])).
% 0.20/0.50 thf(c_0_21, plain, ~fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ fr1)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (ffun_re1760530651nres_d @ fr1) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ fr2))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17]), c_0_18])).
% 0.20/0.50 thf(c_0_22, plain, ![X10:set_Product_prod_a_c, X59:set_Product_prod_b_d]:fmember65788417nres_d @ (fproduc1576596708nres_d @ frefine436832839nd_a_b @ frefine2092371655nd_c_d) @ (frelAPP511982311nres_d @ (frelAPP1396672239nres_d @ ffun_re439246495nres_d @ (frelAPP527276399nres_c @ frefine737062560el_a_c @ X10)) @ (frelAPP813854073nres_d @ (frelAPP98076839nres_d @ ffun_re1394577105nres_d @ (frelAPP900772393nres_d @ (ffun_re1760530651nres_d @ X10) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X59))) @ (frelAPP1313094511nres_d @ frefine1564831968el_b_d @ X59))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_17]), c_0_20])])).
% 0.20/0.50 thf(c_0_23, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])]), ['proof']).
% 0.20/0.50 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 0.20/0.50 thf(0,theorem,((member65788417nres_d @ ((produc1576596708nres_d @ refine436832839nd_a_b) @ refine2092371655nd_c_d)) @ ((relAPP511982311nres_d @ ((relAPP1396672239nres_d @ fun_re439246495nres_d) @ ((relAPP527276399nres_c @ refine737062560el_a_c) @ r1))) @ ((relAPP813854073nres_d @ ((relAPP98076839nres_d @ fun_re1394577105nres_d) @ ((relAPP900772393nres_d @ ((relAPP1270454529nres_d @ fun_re1760530651nres_d) @ r1)) @ ((relAPP1313094511nres_d @ refine1564831968el_b_d) @ r2)))) @ ((relAPP1313094511nres_d @ refine1564831968el_b_d) @ r2)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 0.20/0.50 % SZS output end Proof
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