0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.26 % Computer : n150.star.cs.uiowa.edu 0.02/0.26 % Model : x86_64 x86_64 0.02/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.26 % Memory : 32218.625MB 0.02/0.26 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.26 % CPULimit : 300 0.02/0.26 % DateTime : Sat Jul 14 05:05:09 CDT 2018 0.02/0.26 % CPUTime : 0.02/0.30 % lrs-11_4:1_afp=4000:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.06/0.38 % Refutation found. Thanks to Tanya! 0.06/0.38 % SZS status Theorem for theBenchmark 0.06/0.38 % SZS output start Proof for theBenchmark 0.06/0.38 fof(f1,axiom,( 0.06/0.38 ! [X0,X1,X2] : ((r1(X1,X2) & r1(X0,X1)) => r1(X0,X2))), 0.06/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)). 0.06/0.38 fof(f2,conjecture,( 0.06/0.38 ~? [X0] : ~(! [X1] : (p3(X1) | ~r1(X0,X1)) | ~! [X1] : (~! [X0] : (~r1(X1,X0) | ! [X1] : (p3(X1) | ~r1(X0,X1)) | ~p3(X0)) | p3(X1) | ~r1(X0,X1)) | ! [X1] : (p1(X1) | ~r1(X0,X1)) | ~((p4(X0) | p2(X0) | ~! [X1] : (p3(X1) | p2(X1) | p1(X1) | ~! [X0] : (~(p4(X0) | p1(X0) | ! [X1] : (~r1(X0,X1) | $false) | p2(X0) | p3(X0)) | ! [X1] : (p2(X1) | p1(X1) | ! [X0] : (~r1(X1,X0) | $false) | p3(X1) | p4(X1) | ~r1(X0,X1)) | ~r1(X1,X0)) | ! [X0] : (~r1(X1,X0) | $false) | p4(X1) | ~r1(X0,X1)) | ! [X1] : (~r1(X0,X1) | $false) | p1(X0) | p3(X0)) & (~! [X1] : (! [X0] : ($false | ~r1(X1,X0)) | ~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1) | p1(X1) | ! [X0] : (~r1(X1,X0) | $false)) | ~(p1(X0) | ! [X1] : ($false | ~r1(X0,X1)) | p2(X0))) | p1(X1) | p2(X1) | ~r1(X0,X1)) | ! [X1] : (~r1(X0,X1) | $false) | p1(X0) | p2(X0)) & ! [X1] : (~r1(X0,X1) | ~! [X0] : (~r1(X1,X0) | ~! [X1] : (~r1(X0,X1) | ~p2(X1) | ! [X0] : (~r1(X1,X0) | p2(X0))) | p2(X0)) | p2(X1)) & (! [X1] : ($false | ~r1(X0,X1)) | ~! [X1] : (p1(X1) | ~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p1(X1) | ! [X0] : ($false | ~r1(X1,X0))) | ~(p1(X0) | ! [X1] : ($false | ~r1(X0,X1)))) | ! [X0] : (~r1(X1,X0) | $false) | ~r1(X0,X1)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X1] : (~r1(X0,X1) | $false) | ~! [X1] : (~r1(X0,X1) | p2(X1) | p1(X1) | ~! [X0] : (~r1(X1,X0) | ~(p2(X0) | ! [X1] : ($false | ~r1(X0,X1)) | p1(X0) | p3(X0)) | ! [X1] : (p2(X1) | p1(X1) | ! [X0] : (~r1(X1,X0) | $false) | p3(X1) | ~r1(X0,X1))) | ! [X0] : (~r1(X1,X0) | $false) | p3(X1)) | p1(X0)) & (((! [X1] : (~r1(X0,X1) | ! [X0] : (~! [X1] : (~r1(X0,X1) | ! [X0] : (~r1(X1,X0) | p2(X0)) | ~p2(X1)) | p2(X0) | ~r1(X1,X0))) | ~! [X1] : (~! [X0] : (~p2(X0) | ! [X1] : (p2(X1) | ~r1(X0,X1)) | ~r1(X1,X0)) | p2(X1) | ~r1(X0,X1))) & (~! [X1] : (~r1(X0,X1) | ! [X0] : (p2(X0) | ~r1(X1,X0)) | ~p2(X1)) | p2(X0))) | ~! [X1] : (((! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1) | ~! [X0] : (! [X1] : (p2(X1) | ~r1(X0,X1)) | ~p2(X0) | ~r1(X1,X0)))) | ~! [X0] : (p2(X0) | ~! [X1] : (~p2(X1) | ! [X0] : (~r1(X1,X0) | p2(X0)) | ~r1(X0,X1)) | ~r1(X1,X0))) & (~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1)) | ~p2(X0)) | p2(X1))) | ~! [X0] : (~r1(X1,X0) | ~((! [X1] : (! [X0] : (~! [X1] : (~p2(X1) | ! [X0] : (p2(X0) | ~r1(X1,X0)) | ~r1(X0,X1)) | p2(X0) | ~r1(X1,X0)) | ~r1(X0,X1)) | ~! [X1] : (~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1)) | ~p2(X0)) | p2(X1) | ~r1(X0,X1))) & (~! [X1] : (~p2(X1) | ! [X0] : (~r1(X1,X0) | p2(X0)) | ~r1(X0,X1)) | p2(X0))) | ! [X1] : (~r1(X0,X1) | ((p2(X1) | ~! [X0] : (~p2(X0) | ! [X1] : (p2(X1) | ~r1(X0,X1)) | ~r1(X1,X0))) & (~! [X0] : (~r1(X1,X0) | ~! [X1] : (~p2(X1) | ! [X0] : (p2(X0) | ~r1(X1,X0)) | ~r1(X0,X1)) | p2(X0)) | ! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1) | ~! [X0] : (! [X1] : (~r1(X0,X1) | p2(X1)) | ~p2(X0) | ~r1(X1,X0)))))))) | ~r1(X0,X1)))) | ~! [X1] : (~r1(X0,X1) | p1(X1) | ~! [X0] : (~r1(X1,X0) | ~p1(X0) | ! [X1] : (p1(X1) | ~r1(X0,X1)))) | ((~! [X1] : (~r1(X0,X1) | ~! [X0] : (~p2(X0) | ! [X1] : (~r1(X0,X1) | p2(X1)) | ~r1(X1,X0)) | p2(X1)) | ! [X1] : (~r1(X0,X1) | p2(X1))) & ~! [X1] : (~! [X0] : (~p5(X0) | ~r1(X1,X0)) | ~r1(X0,X1))) | (! [X1] : (! [X0] : (~r1(X1,X0) | ~! [X1] : (~r1(X0,X1) | ~p5(X1))) | p1(X1) | ~r1(X0,X1)) & (~! [X1] : (~r1(X0,X1) | ~! [X0] : (~r1(X1,X0) | ! [X1] : (p2(X1) | ~r1(X0,X1)) | ~p2(X0)) | p2(X1)) | ! [X1] : (p2(X1) | ~r1(X0,X1)))))), 0.06/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',main)). 0.06/0.38 fof(f3,negated_conjecture,( 0.06/0.38 ~~? [X0] : ~(! [X1] : (p3(X1) | ~r1(X0,X1)) | ~! [X1] : (~! [X0] : (~r1(X1,X0) | ! [X1] : (p3(X1) | ~r1(X0,X1)) | ~p3(X0)) | p3(X1) | ~r1(X0,X1)) | ! [X1] : (p1(X1) | ~r1(X0,X1)) | ~((p4(X0) | p2(X0) | ~! [X1] : (p3(X1) | p2(X1) | p1(X1) | ~! [X0] : (~(p4(X0) | p1(X0) | ! [X1] : (~r1(X0,X1) | $false) | p2(X0) | p3(X0)) | ! [X1] : (p2(X1) | p1(X1) | ! [X0] : (~r1(X1,X0) | $false) | p3(X1) | p4(X1) | ~r1(X0,X1)) | ~r1(X1,X0)) | ! [X0] : (~r1(X1,X0) | $false) | p4(X1) | ~r1(X0,X1)) | ! [X1] : (~r1(X0,X1) | $false) | p1(X0) | p3(X0)) & (~! [X1] : (! [X0] : ($false | ~r1(X1,X0)) | ~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1) | p1(X1) | ! [X0] : (~r1(X1,X0) | $false)) | ~(p1(X0) | ! [X1] : ($false | ~r1(X0,X1)) | p2(X0))) | p1(X1) | p2(X1) | ~r1(X0,X1)) | ! [X1] : (~r1(X0,X1) | $false) | p1(X0) | p2(X0)) & ! [X1] : (~r1(X0,X1) | ~! [X0] : (~r1(X1,X0) | ~! [X1] : (~r1(X0,X1) | ~p2(X1) | ! [X0] : (~r1(X1,X0) | p2(X0))) | p2(X0)) | p2(X1)) & (! [X1] : ($false | ~r1(X0,X1)) | ~! [X1] : (p1(X1) | ~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p1(X1) | ! [X0] : ($false | ~r1(X1,X0))) | ~(p1(X0) | ! [X1] : ($false | ~r1(X0,X1)))) | ! [X0] : (~r1(X1,X0) | $false) | ~r1(X0,X1)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X1] : (~r1(X0,X1) | $false) | ~! [X1] : (~r1(X0,X1) | p2(X1) | p1(X1) | ~! [X0] : (~r1(X1,X0) | ~(p2(X0) | ! [X1] : ($false | ~r1(X0,X1)) | p1(X0) | p3(X0)) | ! [X1] : (p2(X1) | p1(X1) | ! [X0] : (~r1(X1,X0) | $false) | p3(X1) | ~r1(X0,X1))) | ! [X0] : (~r1(X1,X0) | $false) | p3(X1)) | p1(X0)) & (((! [X1] : (~r1(X0,X1) | ! [X0] : (~! [X1] : (~r1(X0,X1) | ! [X0] : (~r1(X1,X0) | p2(X0)) | ~p2(X1)) | p2(X0) | ~r1(X1,X0))) | ~! [X1] : (~! [X0] : (~p2(X0) | ! [X1] : (p2(X1) | ~r1(X0,X1)) | ~r1(X1,X0)) | p2(X1) | ~r1(X0,X1))) & (~! [X1] : (~r1(X0,X1) | ! [X0] : (p2(X0) | ~r1(X1,X0)) | ~p2(X1)) | p2(X0))) | ~! [X1] : (((! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1) | ~! [X0] : (! [X1] : (p2(X1) | ~r1(X0,X1)) | ~p2(X0) | ~r1(X1,X0)))) | ~! [X0] : (p2(X0) | ~! [X1] : (~p2(X1) | ! [X0] : (~r1(X1,X0) | p2(X0)) | ~r1(X0,X1)) | ~r1(X1,X0))) & (~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1)) | ~p2(X0)) | p2(X1))) | ~! [X0] : (~r1(X1,X0) | ~((! [X1] : (! [X0] : (~! [X1] : (~p2(X1) | ! [X0] : (p2(X0) | ~r1(X1,X0)) | ~r1(X0,X1)) | p2(X0) | ~r1(X1,X0)) | ~r1(X0,X1)) | ~! [X1] : (~! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1)) | ~p2(X0)) | p2(X1) | ~r1(X0,X1))) & (~! [X1] : (~p2(X1) | ! [X0] : (~r1(X1,X0) | p2(X0)) | ~r1(X0,X1)) | p2(X0))) | ! [X1] : (~r1(X0,X1) | ((p2(X1) | ~! [X0] : (~p2(X0) | ! [X1] : (p2(X1) | ~r1(X0,X1)) | ~r1(X1,X0))) & (~! [X0] : (~r1(X1,X0) | ~! [X1] : (~p2(X1) | ! [X0] : (p2(X0) | ~r1(X1,X0)) | ~r1(X0,X1)) | p2(X0)) | ! [X0] : (~r1(X1,X0) | ! [X1] : (~r1(X0,X1) | p2(X1) | ~! [X0] : (! [X1] : (~r1(X0,X1) | p2(X1)) | ~p2(X0) | ~r1(X1,X0)))))))) | ~r1(X0,X1)))) | ~! [X1] : (~r1(X0,X1) | p1(X1) | ~! [X0] : (~r1(X1,X0) | ~p1(X0) | ! [X1] : (p1(X1) | ~r1(X0,X1)))) | ((~! [X1] : (~r1(X0,X1) | ~! [X0] : (~p2(X0) | ! [X1] : (~r1(X0,X1) | p2(X1)) | ~r1(X1,X0)) | p2(X1)) | ! [X1] : (~r1(X0,X1) | p2(X1))) & ~! [X1] : (~! [X0] : (~p5(X0) | ~r1(X1,X0)) | ~r1(X0,X1))) | (! [X1] : (! [X0] : (~r1(X1,X0) | ~! [X1] : (~r1(X0,X1) | ~p5(X1))) | p1(X1) | ~r1(X0,X1)) & (~! [X1] : (~r1(X0,X1) | ~! [X0] : (~r1(X1,X0) | ! [X1] : (p2(X1) | ~r1(X0,X1)) | ~p2(X0)) | p2(X1)) | ! [X1] : (p2(X1) | ~r1(X0,X1)))))), 0.06/0.38 inference(negated_conjecture,[],[f2])). 0.06/0.38 fof(f5,plain,( 0.06/0.38 ~~? [X0] : ~(! [X1] : (p3(X1) | ~r1(X0,X1)) | ~! [X2] : (~! [X3] : (~r1(X2,X3) | ! [X4] : (p3(X4) | ~r1(X3,X4)) | ~p3(X3)) | p3(X2) | ~r1(X0,X2)) | ! [X5] : (p1(X5) | ~r1(X0,X5)) | ~((p4(X0) | p2(X0) | ~! [X6] : (p3(X6) | p2(X6) | p1(X6) | ~! [X7] : (~(p4(X7) | p1(X7) | ! [X8] : (~r1(X7,X8) | $false) | p2(X7) | p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : (~r1(X9,X10) | $false) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) | ! [X11] : (~r1(X6,X11) | $false) | p4(X6) | ~r1(X0,X6)) | ! [X12] : (~r1(X0,X12) | $false) | p1(X0) | p3(X0)) & (~! [X13] : (! [X14] : ($false | ~r1(X13,X14)) | ~! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : (~r1(X16,X17) | $false)) | ~(p1(X15) | ! [X18] : ($false | ~r1(X15,X18)) | p2(X15))) | p1(X13) | p2(X13) | ~r1(X0,X13)) | ! [X19] : (~r1(X0,X19) | $false) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ~! [X21] : (~r1(X20,X21) | ~! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) | p2(X21)) | p2(X20)) & (! [X24] : ($false | ~r1(X0,X24)) | ~! [X25] : (p1(X25) | ~! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ($false | ~r1(X27,X28))) | ~(p1(X26) | ! [X29] : ($false | ~r1(X26,X29)))) | ! [X30] : (~r1(X25,X30) | $false) | ~r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : (~r1(X0,X31) | $false) | ~! [X32] : (~r1(X0,X32) | p2(X32) | p1(X32) | ~! [X33] : (~r1(X32,X33) | ~(p2(X33) | ! [X34] : ($false | ~r1(X33,X34)) | p1(X33) | p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : (~r1(X35,X36) | $false) | p3(X35) | ~r1(X33,X35))) | ! [X37] : (~r1(X32,X37) | $false) | p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (~! [X40] : (~r1(X39,X40) | ! [X41] : (~r1(X40,X41) | p2(X41)) | ~p2(X40)) | p2(X39) | ~r1(X38,X39))) | ~! [X42] : (~! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) | p2(X42) | ~r1(X0,X42))) & (~! [X45] : (~r1(X0,X45) | ! [X46] : (p2(X46) | ~r1(X45,X46)) | ~p2(X45)) | p2(X0))) | ~! [X47] : (((! [X48] : (~r1(X47,X48) | ! [X49] : (~r1(X48,X49) | p2(X49) | ~! [X50] : (! [X51] : (p2(X51) | ~r1(X50,X51)) | ~p2(X50) | ~r1(X49,X50)))) | ~! [X52] : (p2(X52) | ~! [X53] : (~p2(X53) | ! [X54] : (~r1(X53,X54) | p2(X54)) | ~r1(X52,X53)) | ~r1(X47,X52))) & (~! [X55] : (~r1(X47,X55) | ! [X56] : (~r1(X55,X56) | p2(X56)) | ~p2(X55)) | p2(X47))) | ~! [X57] : (~r1(X47,X57) | ~((! [X58] : (! [X59] : (~! [X60] : (~p2(X60) | ! [X61] : (p2(X61) | ~r1(X60,X61)) | ~r1(X59,X60)) | p2(X59) | ~r1(X58,X59)) | ~r1(X57,X58)) | ~! [X62] : (~! [X63] : (~r1(X62,X63) | ! [X64] : (~r1(X63,X64) | p2(X64)) | ~p2(X63)) | p2(X62) | ~r1(X57,X62))) & (~! [X65] : (~p2(X65) | ! [X66] : (~r1(X65,X66) | p2(X66)) | ~r1(X57,X65)) | p2(X57))) | ! [X67] : (~r1(X57,X67) | ((p2(X67) | ~! [X68] : (~p2(X68) | ! [X69] : (p2(X69) | ~r1(X68,X69)) | ~r1(X67,X68))) & (~! [X70] : (~r1(X67,X70) | ~! [X71] : (~p2(X71) | ! [X72] : (p2(X72) | ~r1(X71,X72)) | ~r1(X70,X71)) | p2(X70)) | ! [X73] : (~r1(X67,X73) | ! [X74] : (~r1(X73,X74) | p2(X74) | ~! [X75] : (! [X76] : (~r1(X75,X76) | p2(X76)) | ~p2(X75) | ~r1(X74,X75)))))))) | ~r1(X0,X47)))) | ~! [X77] : (~r1(X0,X77) | p1(X77) | ~! [X78] : (~r1(X77,X78) | ~p1(X78) | ! [X79] : (p1(X79) | ~r1(X78,X79)))) | ((~! [X80] : (~r1(X0,X80) | ~! [X81] : (~p2(X81) | ! [X82] : (~r1(X81,X82) | p2(X82)) | ~r1(X80,X81)) | p2(X80)) | ! [X83] : (~r1(X0,X83) | p2(X83))) & ~! [X84] : (~! [X85] : (~p5(X85) | ~r1(X84,X85)) | ~r1(X0,X84))) | (! [X86] : (! [X87] : (~r1(X86,X87) | ~! [X88] : (~r1(X87,X88) | ~p5(X88))) | p1(X86) | ~r1(X0,X86)) & (~! [X89] : (~r1(X0,X89) | ~! [X90] : (~r1(X89,X90) | ! [X91] : (p2(X91) | ~r1(X90,X91)) | ~p2(X90)) | p2(X89)) | ! [X92] : (p2(X92) | ~r1(X0,X92)))))), 0.06/0.38 inference(rectify,[],[f3])). 0.06/0.38 fof(f6,plain,( 0.06/0.38 ~~? [X0] : ~(! [X1] : (p3(X1) | ~r1(X0,X1)) | ~! [X2] : (~! [X3] : (~r1(X2,X3) | ! [X4] : (p3(X4) | ~r1(X3,X4)) | ~p3(X3)) | p3(X2) | ~r1(X0,X2)) | ! [X5] : (p1(X5) | ~r1(X0,X5)) | ~((p4(X0) | p2(X0) | ~! [X6] : (p3(X6) | p2(X6) | p1(X6) | ~! [X7] : (~(p4(X7) | p1(X7) | ! [X8] : ~r1(X7,X8) | p2(X7) | p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) | ! [X11] : ~r1(X6,X11) | p4(X6) | ~r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (~! [X13] : (! [X14] : ~r1(X13,X14) | ~! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | ~(p1(X15) | ! [X18] : ~r1(X15,X18) | p2(X15))) | p1(X13) | p2(X13) | ~r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ~! [X21] : (~r1(X20,X21) | ~! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) | p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ~! [X25] : (p1(X25) | ~! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | ~(p1(X26) | ! [X29] : ~r1(X26,X29))) | ! [X30] : ~r1(X25,X30) | ~r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ~! [X32] : (~r1(X0,X32) | p2(X32) | p1(X32) | ~! [X33] : (~r1(X32,X33) | ~(p2(X33) | ! [X34] : ~r1(X33,X34) | p1(X33) | p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) | ! [X37] : ~r1(X32,X37) | p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (~! [X40] : (~r1(X39,X40) | ! [X41] : (~r1(X40,X41) | p2(X41)) | ~p2(X40)) | p2(X39) | ~r1(X38,X39))) | ~! [X42] : (~! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) | p2(X42) | ~r1(X0,X42))) & (~! [X45] : (~r1(X0,X45) | ! [X46] : (p2(X46) | ~r1(X45,X46)) | ~p2(X45)) | p2(X0))) | ~! [X47] : (((! [X48] : (~r1(X47,X48) | ! [X49] : (~r1(X48,X49) | p2(X49) | ~! [X50] : (! [X51] : (p2(X51) | ~r1(X50,X51)) | ~p2(X50) | ~r1(X49,X50)))) | ~! [X52] : (p2(X52) | ~! [X53] : (~p2(X53) | ! [X54] : (~r1(X53,X54) | p2(X54)) | ~r1(X52,X53)) | ~r1(X47,X52))) & (~! [X55] : (~r1(X47,X55) | ! [X56] : (~r1(X55,X56) | p2(X56)) | ~p2(X55)) | p2(X47))) | ~! [X57] : (~r1(X47,X57) | ~((! [X58] : (! [X59] : (~! [X60] : (~p2(X60) | ! [X61] : (p2(X61) | ~r1(X60,X61)) | ~r1(X59,X60)) | p2(X59) | ~r1(X58,X59)) | ~r1(X57,X58)) | ~! [X62] : (~! [X63] : (~r1(X62,X63) | ! [X64] : (~r1(X63,X64) | p2(X64)) | ~p2(X63)) | p2(X62) | ~r1(X57,X62))) & (~! [X65] : (~p2(X65) | ! [X66] : (~r1(X65,X66) | p2(X66)) | ~r1(X57,X65)) | p2(X57))) | ! [X67] : (~r1(X57,X67) | ((p2(X67) | ~! [X68] : (~p2(X68) | ! [X69] : (p2(X69) | ~r1(X68,X69)) | ~r1(X67,X68))) & (~! [X70] : (~r1(X67,X70) | ~! [X71] : (~p2(X71) | ! [X72] : (p2(X72) | ~r1(X71,X72)) | ~r1(X70,X71)) | p2(X70)) | ! [X73] : (~r1(X67,X73) | ! [X74] : (~r1(X73,X74) | p2(X74) | ~! [X75] : (! [X76] : (~r1(X75,X76) | p2(X76)) | ~p2(X75) | ~r1(X74,X75)))))))) | ~r1(X0,X47)))) | ~! [X77] : (~r1(X0,X77) | p1(X77) | ~! [X78] : (~r1(X77,X78) | ~p1(X78) | ! [X79] : (p1(X79) | ~r1(X78,X79)))) | ((~! [X80] : (~r1(X0,X80) | ~! [X81] : (~p2(X81) | ! [X82] : (~r1(X81,X82) | p2(X82)) | ~r1(X80,X81)) | p2(X80)) | ! [X83] : (~r1(X0,X83) | p2(X83))) & ~! [X84] : (~! [X85] : (~p5(X85) | ~r1(X84,X85)) | ~r1(X0,X84))) | (! [X86] : (! [X87] : (~r1(X86,X87) | ~! [X88] : (~r1(X87,X88) | ~p5(X88))) | p1(X86) | ~r1(X0,X86)) & (~! [X89] : (~r1(X0,X89) | ~! [X90] : (~r1(X89,X90) | ! [X91] : (p2(X91) | ~r1(X90,X91)) | ~p2(X90)) | p2(X89)) | ! [X92] : (p2(X92) | ~r1(X0,X92)))))), 0.06/0.38 inference(true_and_false_elimination,[],[f5])). 0.06/0.38 fof(f7,plain,( 0.06/0.38 ? [X0] : ~(! [X1] : (p3(X1) | ~r1(X0,X1)) | ~! [X2] : (~! [X3] : (~r1(X2,X3) | ! [X4] : (p3(X4) | ~r1(X3,X4)) | ~p3(X3)) | p3(X2) | ~r1(X0,X2)) | ! [X5] : (p1(X5) | ~r1(X0,X5)) | ~((p4(X0) | p2(X0) | ~! [X6] : (p3(X6) | p2(X6) | p1(X6) | ~! [X7] : (~(p4(X7) | p1(X7) | ! [X8] : ~r1(X7,X8) | p2(X7) | p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) | ! [X11] : ~r1(X6,X11) | p4(X6) | ~r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (~! [X13] : (! [X14] : ~r1(X13,X14) | ~! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | ~(p1(X15) | ! [X18] : ~r1(X15,X18) | p2(X15))) | p1(X13) | p2(X13) | ~r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ~! [X21] : (~r1(X20,X21) | ~! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) | p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ~! [X25] : (p1(X25) | ~! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | ~(p1(X26) | ! [X29] : ~r1(X26,X29))) | ! [X30] : ~r1(X25,X30) | ~r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ~! [X32] : (~r1(X0,X32) | p2(X32) | p1(X32) | ~! [X33] : (~r1(X32,X33) | ~(p2(X33) | ! [X34] : ~r1(X33,X34) | p1(X33) | p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) | ! [X37] : ~r1(X32,X37) | p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (~! [X40] : (~r1(X39,X40) | ! [X41] : (~r1(X40,X41) | p2(X41)) | ~p2(X40)) | p2(X39) | ~r1(X38,X39))) | ~! [X42] : (~! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) | p2(X42) | ~r1(X0,X42))) & (~! [X45] : (~r1(X0,X45) | ! [X46] : (p2(X46) | ~r1(X45,X46)) | ~p2(X45)) | p2(X0))) | ~! [X47] : (((! [X48] : (~r1(X47,X48) | ! [X49] : (~r1(X48,X49) | p2(X49) | ~! [X50] : (! [X51] : (p2(X51) | ~r1(X50,X51)) | ~p2(X50) | ~r1(X49,X50)))) | ~! [X52] : (p2(X52) | ~! [X53] : (~p2(X53) | ! [X54] : (~r1(X53,X54) | p2(X54)) | ~r1(X52,X53)) | ~r1(X47,X52))) & (~! [X55] : (~r1(X47,X55) | ! [X56] : (~r1(X55,X56) | p2(X56)) | ~p2(X55)) | p2(X47))) | ~! [X57] : (~r1(X47,X57) | ~((! [X58] : (! [X59] : (~! [X60] : (~p2(X60) | ! [X61] : (p2(X61) | ~r1(X60,X61)) | ~r1(X59,X60)) | p2(X59) | ~r1(X58,X59)) | ~r1(X57,X58)) | ~! [X62] : (~! [X63] : (~r1(X62,X63) | ! [X64] : (~r1(X63,X64) | p2(X64)) | ~p2(X63)) | p2(X62) | ~r1(X57,X62))) & (~! [X65] : (~p2(X65) | ! [X66] : (~r1(X65,X66) | p2(X66)) | ~r1(X57,X65)) | p2(X57))) | ! [X67] : (~r1(X57,X67) | ((p2(X67) | ~! [X68] : (~p2(X68) | ! [X69] : (p2(X69) | ~r1(X68,X69)) | ~r1(X67,X68))) & (~! [X70] : (~r1(X67,X70) | ~! [X71] : (~p2(X71) | ! [X72] : (p2(X72) | ~r1(X71,X72)) | ~r1(X70,X71)) | p2(X70)) | ! [X73] : (~r1(X67,X73) | ! [X74] : (~r1(X73,X74) | p2(X74) | ~! [X75] : (! [X76] : (~r1(X75,X76) | p2(X76)) | ~p2(X75) | ~r1(X74,X75)))))))) | ~r1(X0,X47)))) | ~! [X77] : (~r1(X0,X77) | p1(X77) | ~! [X78] : (~r1(X77,X78) | ~p1(X78) | ! [X79] : (p1(X79) | ~r1(X78,X79)))) | ((~! [X80] : (~r1(X0,X80) | ~! [X81] : (~p2(X81) | ! [X82] : (~r1(X81,X82) | p2(X82)) | ~r1(X80,X81)) | p2(X80)) | ! [X83] : (~r1(X0,X83) | p2(X83))) & ~! [X84] : (~! [X85] : (~p5(X85) | ~r1(X84,X85)) | ~r1(X0,X84))) | (! [X86] : (! [X87] : (~r1(X86,X87) | ~! [X88] : (~r1(X87,X88) | ~p5(X88))) | p1(X86) | ~r1(X0,X86)) & (~! [X89] : (~r1(X0,X89) | ~! [X90] : (~r1(X89,X90) | ! [X91] : (p2(X91) | ~r1(X90,X91)) | ~p2(X90)) | p2(X89)) | ! [X92] : (p2(X92) | ~r1(X0,X92)))))), 0.06/0.38 inference(flattening,[],[f6])). 0.06/0.38 fof(f8,plain,( 0.06/0.38 ? [X0] : (? [X1] : (~p3(X1) & r1(X0,X1)) & ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) | p3(X2) | ~r1(X0,X2)) & ? [X5] : (~p1(X5) & r1(X0,X5)) & ((p4(X0) | p2(X0) | ? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ? [X32] : (r1(X0,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) | p2(X39) | ~r1(X38,X39))) | ? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(X0,X42))) & (? [X45] : (r1(X0,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) | p2(X0))) | ? [X47] : (((? [X48] : (r1(X47,X48) & ? [X49] : (r1(X48,X49) & ~p2(X49) & ! [X50] : (! [X51] : (p2(X51) | ~r1(X50,X51)) | ~p2(X50) | ~r1(X49,X50)))) & ! [X52] : (p2(X52) | ? [X53] : (p2(X53) & ? [X54] : (r1(X53,X54) & ~p2(X54)) & r1(X52,X53)) | ~r1(X47,X52))) | (! [X55] : (~r1(X47,X55) | ! [X56] : (~r1(X55,X56) | p2(X56)) | ~p2(X55)) & ~p2(X47))) & ! [X57] : (~r1(X47,X57) | ((? [X58] : (? [X59] : (! [X60] : (~p2(X60) | ! [X61] : (p2(X61) | ~r1(X60,X61)) | ~r1(X59,X60)) & ~p2(X59) & r1(X58,X59)) & r1(X57,X58)) & ! [X62] : (? [X63] : (r1(X62,X63) & ? [X64] : (r1(X63,X64) & ~p2(X64)) & p2(X63)) | p2(X62) | ~r1(X57,X62))) | (! [X65] : (~p2(X65) | ! [X66] : (~r1(X65,X66) | p2(X66)) | ~r1(X57,X65)) & ~p2(X57))) | ! [X67] : (~r1(X57,X67) | ((p2(X67) | ? [X68] : (p2(X68) & ? [X69] : (~p2(X69) & r1(X68,X69)) & r1(X67,X68))) & (? [X70] : (r1(X67,X70) & ! [X71] : (~p2(X71) | ! [X72] : (p2(X72) | ~r1(X71,X72)) | ~r1(X70,X71)) & ~p2(X70)) | ! [X73] : (~r1(X67,X73) | ! [X74] : (~r1(X73,X74) | p2(X74) | ? [X75] : (? [X76] : (r1(X75,X76) & ~p2(X76)) & p2(X75) & r1(X74,X75)))))))) & r1(X0,X47)))) & ! [X77] : (~r1(X0,X77) | p1(X77) | ? [X78] : (r1(X77,X78) & p1(X78) & ? [X79] : (~p1(X79) & r1(X78,X79)))) & ((! [X80] : (~r1(X0,X80) | ? [X81] : (p2(X81) & ? [X82] : (r1(X81,X82) & ~p2(X82)) & r1(X80,X81)) | p2(X80)) & ? [X83] : (r1(X0,X83) & ~p2(X83))) | ! [X84] : (? [X85] : (p5(X85) & r1(X84,X85)) | ~r1(X0,X84))) & (? [X86] : (? [X87] : (r1(X86,X87) & ! [X88] : (~r1(X87,X88) | ~p5(X88))) & ~p1(X86) & r1(X0,X86)) | (! [X89] : (~r1(X0,X89) | ? [X90] : (r1(X89,X90) & ? [X91] : (~p2(X91) & r1(X90,X91)) & p2(X90)) | p2(X89)) & ? [X92] : (~p2(X92) & r1(X0,X92)))))), 0.06/0.38 inference(ennf_transformation,[],[f7])). 0.06/0.38 fof(f9,plain,( 0.06/0.38 ? [X0] : (? [X1] : (~p3(X1) & r1(X0,X1)) & ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) | p3(X2) | ~r1(X0,X2)) & ? [X5] : (~p1(X5) & r1(X0,X5)) & (p4(X0) | p2(X0) | ? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ? [X32] : (r1(X0,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) | p2(X39) | ~r1(X38,X39))) | ? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(X0,X42))) & (? [X45] : (r1(X0,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) | p2(X0))) | ? [X47] : (((? [X48] : (r1(X47,X48) & ? [X49] : (r1(X48,X49) & ~p2(X49) & ! [X50] : (! [X51] : (p2(X51) | ~r1(X50,X51)) | ~p2(X50) | ~r1(X49,X50)))) & ! [X52] : (p2(X52) | ? [X53] : (p2(X53) & ? [X54] : (r1(X53,X54) & ~p2(X54)) & r1(X52,X53)) | ~r1(X47,X52))) | (! [X55] : (~r1(X47,X55) | ! [X56] : (~r1(X55,X56) | p2(X56)) | ~p2(X55)) & ~p2(X47))) & ! [X57] : (~r1(X47,X57) | (? [X58] : (? [X59] : (! [X60] : (~p2(X60) | ! [X61] : (p2(X61) | ~r1(X60,X61)) | ~r1(X59,X60)) & ~p2(X59) & r1(X58,X59)) & r1(X57,X58)) & ! [X62] : (? [X63] : (r1(X62,X63) & ? [X64] : (r1(X63,X64) & ~p2(X64)) & p2(X63)) | p2(X62) | ~r1(X57,X62))) | (! [X65] : (~p2(X65) | ! [X66] : (~r1(X65,X66) | p2(X66)) | ~r1(X57,X65)) & ~p2(X57)) | ! [X67] : (~r1(X57,X67) | ((p2(X67) | ? [X68] : (p2(X68) & ? [X69] : (~p2(X69) & r1(X68,X69)) & r1(X67,X68))) & (? [X70] : (r1(X67,X70) & ! [X71] : (~p2(X71) | ! [X72] : (p2(X72) | ~r1(X71,X72)) | ~r1(X70,X71)) & ~p2(X70)) | ! [X73] : (~r1(X67,X73) | ! [X74] : (~r1(X73,X74) | p2(X74) | ? [X75] : (? [X76] : (r1(X75,X76) & ~p2(X76)) & p2(X75) & r1(X74,X75)))))))) & r1(X0,X47))) & ! [X77] : (~r1(X0,X77) | p1(X77) | ? [X78] : (r1(X77,X78) & p1(X78) & ? [X79] : (~p1(X79) & r1(X78,X79)))) & ((! [X80] : (~r1(X0,X80) | ? [X81] : (p2(X81) & ? [X82] : (r1(X81,X82) & ~p2(X82)) & r1(X80,X81)) | p2(X80)) & ? [X83] : (r1(X0,X83) & ~p2(X83))) | ! [X84] : (? [X85] : (p5(X85) & r1(X84,X85)) | ~r1(X0,X84))) & (? [X86] : (? [X87] : (r1(X86,X87) & ! [X88] : (~r1(X87,X88) | ~p5(X88))) & ~p1(X86) & r1(X0,X86)) | (! [X89] : (~r1(X0,X89) | ? [X90] : (r1(X89,X90) & ? [X91] : (~p2(X91) & r1(X90,X91)) & p2(X90)) | p2(X89)) & ? [X92] : (~p2(X92) & r1(X0,X92)))))), 0.06/0.38 inference(flattening,[],[f8])). 0.06/0.38 fof(f10,plain,( 0.06/0.38 ! [X0,X1,X2] : (r1(X0,X2) | (~r1(X1,X2) | ~r1(X0,X1)))), 0.06/0.38 inference(ennf_transformation,[],[f1])). 0.06/0.38 fof(f11,plain,( 0.06/0.38 ! [X0,X1,X2] : (r1(X0,X2) | ~r1(X1,X2) | ~r1(X0,X1))), 0.06/0.38 inference(flattening,[],[f10])). 0.06/0.38 fof(f12,plain,( 0.06/0.38 ! [X57] : (! [X67] : (~r1(X57,X67) | ((p2(X67) | ? [X68] : (p2(X68) & ? [X69] : (~p2(X69) & r1(X68,X69)) & r1(X67,X68))) & (? [X70] : (r1(X67,X70) & ! [X71] : (~p2(X71) | ! [X72] : (p2(X72) | ~r1(X71,X72)) | ~r1(X70,X71)) & ~p2(X70)) | ! [X73] : (~r1(X67,X73) | ! [X74] : (~r1(X73,X74) | p2(X74) | ? [X75] : (? [X76] : (r1(X75,X76) & ~p2(X76)) & p2(X75) & r1(X74,X75))))))) | ~sP0(X57))), 0.06/0.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 0.06/0.38 fof(f13,plain,( 0.06/0.38 ! [X0] : (? [X47] : (((? [X48] : (r1(X47,X48) & ? [X49] : (r1(X48,X49) & ~p2(X49) & ! [X50] : (! [X51] : (p2(X51) | ~r1(X50,X51)) | ~p2(X50) | ~r1(X49,X50)))) & ! [X52] : (p2(X52) | ? [X53] : (p2(X53) & ? [X54] : (r1(X53,X54) & ~p2(X54)) & r1(X52,X53)) | ~r1(X47,X52))) | (! [X55] : (~r1(X47,X55) | ! [X56] : (~r1(X55,X56) | p2(X56)) | ~p2(X55)) & ~p2(X47))) & ! [X57] : (~r1(X47,X57) | (? [X58] : (? [X59] : (! [X60] : (~p2(X60) | ! [X61] : (p2(X61) | ~r1(X60,X61)) | ~r1(X59,X60)) & ~p2(X59) & r1(X58,X59)) & r1(X57,X58)) & ! [X62] : (? [X63] : (r1(X62,X63) & ? [X64] : (r1(X63,X64) & ~p2(X64)) & p2(X63)) | p2(X62) | ~r1(X57,X62))) | (! [X65] : (~p2(X65) | ! [X66] : (~r1(X65,X66) | p2(X66)) | ~r1(X57,X65)) & ~p2(X57)) | sP0(X57)) & r1(X0,X47)) | ~sP1(X0))), 0.06/0.38 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 0.06/0.38 fof(f14,plain,( 0.06/0.38 ? [X0] : (? [X1] : (~p3(X1) & r1(X0,X1)) & ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) | p3(X2) | ~r1(X0,X2)) & ? [X5] : (~p1(X5) & r1(X0,X5)) & (p4(X0) | p2(X0) | ? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ? [X32] : (r1(X0,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) | p2(X39) | ~r1(X38,X39))) | ? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(X0,X42))) & (? [X45] : (r1(X0,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) | p2(X0))) | sP1(X0)) & ! [X77] : (~r1(X0,X77) | p1(X77) | ? [X78] : (r1(X77,X78) & p1(X78) & ? [X79] : (~p1(X79) & r1(X78,X79)))) & ((! [X80] : (~r1(X0,X80) | ? [X81] : (p2(X81) & ? [X82] : (r1(X81,X82) & ~p2(X82)) & r1(X80,X81)) | p2(X80)) & ? [X83] : (r1(X0,X83) & ~p2(X83))) | ! [X84] : (? [X85] : (p5(X85) & r1(X84,X85)) | ~r1(X0,X84))) & (? [X86] : (? [X87] : (r1(X86,X87) & ! [X88] : (~r1(X87,X88) | ~p5(X88))) & ~p1(X86) & r1(X0,X86)) | (! [X89] : (~r1(X0,X89) | ? [X90] : (r1(X89,X90) & ? [X91] : (~p2(X91) & r1(X90,X91)) & p2(X90)) | p2(X89)) & ? [X92] : (~p2(X92) & r1(X0,X92)))))), 0.06/0.38 inference(definition_folding,[],[f9,f13,f12])). 0.06/0.38 fof(f35,plain,( 0.06/0.38 ? [X0] : (? [X1] : (~p3(X1) & r1(X0,X1)) & ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) | p3(X2) | ~r1(X0,X2)) & ? [X5] : (~p1(X5) & r1(X0,X5)) & (p4(X0) | p2(X0) | ? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ? [X32] : (r1(X0,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) | p2(X39) | ~r1(X38,X39))) | ? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(X0,X42))) & (? [X45] : (r1(X0,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) | p2(X0))) | sP1(X0)) & ! [X47] : (~r1(X0,X47) | p1(X47) | ? [X48] : (r1(X47,X48) & p1(X48) & ? [X49] : (~p1(X49) & r1(X48,X49)))) & ((! [X50] : (~r1(X0,X50) | ? [X51] : (p2(X51) & ? [X52] : (r1(X51,X52) & ~p2(X52)) & r1(X50,X51)) | p2(X50)) & ? [X53] : (r1(X0,X53) & ~p2(X53))) | ! [X54] : (? [X55] : (p5(X55) & r1(X54,X55)) | ~r1(X0,X54))) & (? [X56] : (? [X57] : (r1(X56,X57) & ! [X58] : (~r1(X57,X58) | ~p5(X58))) & ~p1(X56) & r1(X0,X56)) | (! [X59] : (~r1(X0,X59) | ? [X60] : (r1(X59,X60) & ? [X61] : (~p2(X61) & r1(X60,X61)) & p2(X60)) | p2(X59)) & ? [X62] : (~p2(X62) & r1(X0,X62)))))), 0.06/0.38 inference(rectify,[],[f14])). 0.06/0.38 fof(f36,plain,( 0.06/0.38 ? [X0] : (? [X1] : (~p3(X1) & r1(X0,X1)) & ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) | p3(X2) | ~r1(X0,X2)) & ? [X5] : (~p1(X5) & r1(X0,X5)) & (p4(X0) | p2(X0) | ? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(X0,X6)) | ! [X12] : ~r1(X0,X12) | p1(X0) | p3(X0)) & (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(X0,X13)) | ! [X19] : ~r1(X0,X19) | p1(X0) | p2(X0)) & ! [X20] : (~r1(X0,X20) | ? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) | p2(X20)) & (! [X24] : ~r1(X0,X24) | ? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(X0,X25)) | p1(X0)) & (p3(X0) | p2(X0) | ! [X31] : ~r1(X0,X31) | ? [X32] : (r1(X0,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) | p1(X0)) & (((! [X38] : (~r1(X0,X38) | ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) | p2(X39) | ~r1(X38,X39))) | ? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(X0,X42))) & (? [X45] : (r1(X0,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) | p2(X0))) | sP1(X0)) & ! [X47] : (~r1(X0,X47) | p1(X47) | ? [X48] : (r1(X47,X48) & p1(X48) & ? [X49] : (~p1(X49) & r1(X48,X49)))) & ((! [X50] : (~r1(X0,X50) | ? [X51] : (p2(X51) & ? [X52] : (r1(X51,X52) & ~p2(X52)) & r1(X50,X51)) | p2(X50)) & ? [X53] : (r1(X0,X53) & ~p2(X53))) | ! [X54] : (? [X55] : (p5(X55) & r1(X54,X55)) | ~r1(X0,X54))) & (? [X56] : (? [X57] : (r1(X56,X57) & ! [X58] : (~r1(X57,X58) | ~p5(X58))) & ~p1(X56) & r1(X0,X56)) | (! [X59] : (~r1(X0,X59) | ? [X60] : (r1(X59,X60) & ? [X61] : (~p2(X61) & r1(X60,X61)) & p2(X60)) | p2(X59)) & ? [X62] : (~p2(X62) & r1(X0,X62))))) => (? [X1] : (~p3(X1) & r1(sK16,X1)) & ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) | p3(X2) | ~r1(sK16,X2)) & ? [X5] : (~p1(X5) & r1(sK16,X5)) & (p4(sK16) | p2(sK16) | ? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(sK16,X6)) | ! [X12] : ~r1(sK16,X12) | p1(sK16) | p3(sK16)) & (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(sK16,X13)) | ! [X19] : ~r1(sK16,X19) | p1(sK16) | p2(sK16)) & ! [X20] : (~r1(sK16,X20) | ? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) | p2(X20)) & (! [X24] : ~r1(sK16,X24) | ? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(sK16,X25)) | p1(sK16)) & (p3(sK16) | p2(sK16) | ! [X31] : ~r1(sK16,X31) | ? [X32] : (r1(sK16,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) | p1(sK16)) & (((! [X38] : (~r1(sK16,X38) | ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) | p2(X39) | ~r1(X38,X39))) | ? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(sK16,X42))) & (? [X45] : (r1(sK16,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) | p2(sK16))) | sP1(sK16)) & ! [X47] : (~r1(sK16,X47) | p1(X47) | ? [X48] : (r1(X47,X48) & p1(X48) & ? [X49] : (~p1(X49) & r1(X48,X49)))) & ((! [X50] : (~r1(sK16,X50) | ? [X51] : (p2(X51) & ? [X52] : (r1(X51,X52) & ~p2(X52)) & r1(X50,X51)) | p2(X50)) & ? [X53] : (r1(sK16,X53) & ~p2(X53))) | ! [X54] : (? [X55] : (p5(X55) & r1(X54,X55)) | ~r1(sK16,X54))) & (? [X56] : (? [X57] : (r1(X56,X57) & ! [X58] : (~r1(X57,X58) | ~p5(X58))) & ~p1(X56) & r1(sK16,X56)) | (! [X59] : (~r1(sK16,X59) | ? [X60] : (r1(X59,X60) & ? [X61] : (~p2(X61) & r1(X60,X61)) & p2(X60)) | p2(X59)) & ? [X62] : (~p2(X62) & r1(sK16,X62)))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f37,plain,( 0.06/0.38 ( ! [X0] : (? [X1] : (~p3(X1) & r1(X0,X1)) => (~p3(sK17) & r1(X0,sK17))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f38,plain,( 0.06/0.38 ! [X2] : (? [X3] : (r1(X2,X3) & ? [X4] : (~p3(X4) & r1(X3,X4)) & p3(X3)) => (r1(X2,sK18(X2)) & ? [X4] : (~p3(X4) & r1(sK18(X2),X4)) & p3(sK18(X2))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f39,plain,( 0.06/0.38 ( ! [X3] : (! [X2] : (? [X4] : (~p3(X4) & r1(X3,X4)) => (~p3(sK19(X2)) & r1(X3,sK19(X2))))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f40,plain,( 0.06/0.38 ( ! [X0] : (? [X5] : (~p1(X5) & r1(X0,X5)) => (~p1(sK20) & r1(X0,sK20))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f41,plain,( 0.06/0.38 ( ! [X0] : (? [X6] : (~p3(X6) & ~p2(X6) & ~p1(X6) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(X6,X7)) & ? [X11] : r1(X6,X11) & ~p4(X6) & r1(X0,X6)) => (~p3(sK21) & ~p2(sK21) & ~p1(sK21) & ! [X7] : ((~p4(X7) & ~p1(X7) & ? [X8] : r1(X7,X8) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(sK21,X7)) & ? [X11] : r1(sK21,X11) & ~p4(sK21) & r1(X0,sK21))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f42,plain,( 0.06/0.38 ! [X7] : (? [X8] : r1(X7,X8) => r1(X7,sK22(X7)))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f43,plain,( 0.06/0.38 ( ! [X6] : (? [X11] : r1(X6,X11) => r1(X6,sK23)) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f44,plain,( 0.06/0.38 ( ! [X0] : (? [X13] : (? [X14] : r1(X13,X14) & ! [X15] : (~r1(X13,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(X13) & ~p2(X13) & r1(X0,X13)) => (? [X14] : r1(sK24,X14) & ! [X15] : (~r1(sK24,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & ? [X18] : r1(X15,X18) & ~p2(X15))) & ~p1(sK24) & ~p2(sK24) & r1(X0,sK24))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f45,plain,( 0.06/0.38 ( ! [X13] : (? [X14] : r1(X13,X14) => r1(X13,sK25)) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f46,plain,( 0.06/0.38 ! [X15] : (? [X18] : r1(X15,X18) => r1(X15,sK26(X15)))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f47,plain,( 0.06/0.38 ! [X20] : (? [X21] : (r1(X20,X21) & ! [X22] : (~r1(X21,X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(X21)) => (r1(X20,sK27(X20)) & ! [X22] : (~r1(sK27(X20),X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(sK27(X20))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f48,plain,( 0.06/0.38 ( ! [X0] : (? [X25] : (~p1(X25) & ! [X26] : (~r1(X25,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(X25,X30) & r1(X0,X25)) => (~p1(sK28) & ! [X26] : (~r1(sK28,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & ? [X29] : r1(X26,X29))) & ? [X30] : r1(sK28,X30) & r1(X0,sK28))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f49,plain,( 0.06/0.38 ! [X26] : (? [X29] : r1(X26,X29) => r1(X26,sK29(X26)))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f50,plain,( 0.06/0.38 ( ! [X25] : (? [X30] : r1(X25,X30) => r1(X25,sK30)) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f51,plain,( 0.06/0.38 ( ! [X0] : (? [X32] : (r1(X0,X32) & ~p2(X32) & ~p1(X32) & ! [X33] : (~r1(X32,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(X32,X37) & ~p3(X32)) => (r1(X0,sK31) & ~p2(sK31) & ~p1(sK31) & ! [X33] : (~r1(sK31,X33) | (~p2(X33) & ? [X34] : r1(X33,X34) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & ? [X37] : r1(sK31,X37) & ~p3(sK31))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f52,plain,( 0.06/0.38 ! [X33] : (? [X34] : r1(X33,X34) => r1(X33,sK32(X33)))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f53,plain,( 0.06/0.38 ( ! [X32] : (? [X37] : r1(X32,X37) => r1(X32,sK33)) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f54,plain,( 0.06/0.38 ! [X39] : (? [X40] : (r1(X39,X40) & ? [X41] : (r1(X40,X41) & ~p2(X41)) & p2(X40)) => (r1(X39,sK34(X39)) & ? [X41] : (r1(sK34(X39),X41) & ~p2(X41)) & p2(sK34(X39))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f55,plain,( 0.06/0.38 ( ! [X40] : (! [X39] : (? [X41] : (r1(X40,X41) & ~p2(X41)) => (r1(X40,sK35(X39)) & ~p2(sK35(X39))))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f56,plain,( 0.06/0.38 ( ! [X0] : (? [X42] : (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(X42,X43)) & ~p2(X42) & r1(X0,X42)) => (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(sK36,X43)) & ~p2(sK36) & r1(X0,sK36))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f57,plain,( 0.06/0.38 ( ! [X0] : (? [X45] : (r1(X0,X45) & ? [X46] : (~p2(X46) & r1(X45,X46)) & p2(X45)) => (r1(X0,sK37) & ? [X46] : (~p2(X46) & r1(sK37,X46)) & p2(sK37))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f58,plain,( 0.06/0.38 ( ! [X45] : (? [X46] : (~p2(X46) & r1(X45,X46)) => (~p2(sK38) & r1(X45,sK38))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f59,plain,( 0.06/0.38 ! [X47] : (? [X48] : (r1(X47,X48) & p1(X48) & ? [X49] : (~p1(X49) & r1(X48,X49))) => (r1(X47,sK39(X47)) & p1(sK39(X47)) & ? [X49] : (~p1(X49) & r1(sK39(X47),X49))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f60,plain,( 0.06/0.38 ( ! [X48] : (! [X47] : (? [X49] : (~p1(X49) & r1(X48,X49)) => (~p1(sK40(X47)) & r1(X48,sK40(X47))))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f61,plain,( 0.06/0.38 ! [X50] : (? [X51] : (p2(X51) & ? [X52] : (r1(X51,X52) & ~p2(X52)) & r1(X50,X51)) => (p2(sK41(X50)) & ? [X52] : (r1(sK41(X50),X52) & ~p2(X52)) & r1(X50,sK41(X50))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f62,plain,( 0.06/0.38 ( ! [X51] : (! [X50] : (? [X52] : (r1(X51,X52) & ~p2(X52)) => (r1(X51,sK42(X50)) & ~p2(sK42(X50))))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f63,plain,( 0.06/0.38 ( ! [X0] : (? [X53] : (r1(X0,X53) & ~p2(X53)) => (r1(X0,sK43) & ~p2(sK43))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f64,plain,( 0.06/0.38 ! [X54] : (? [X55] : (p5(X55) & r1(X54,X55)) => (p5(sK44(X54)) & r1(X54,sK44(X54))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f65,plain,( 0.06/0.38 ( ! [X0] : (? [X56] : (? [X57] : (r1(X56,X57) & ! [X58] : (~r1(X57,X58) | ~p5(X58))) & ~p1(X56) & r1(X0,X56)) => (? [X57] : (r1(sK45,X57) & ! [X58] : (~r1(X57,X58) | ~p5(X58))) & ~p1(sK45) & r1(X0,sK45))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f66,plain,( 0.06/0.38 ( ! [X56] : (? [X57] : (r1(X56,X57) & ! [X58] : (~r1(X57,X58) | ~p5(X58))) => (r1(X56,sK46) & ! [X58] : (~r1(sK46,X58) | ~p5(X58)))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f67,plain,( 0.06/0.38 ! [X59] : (? [X60] : (r1(X59,X60) & ? [X61] : (~p2(X61) & r1(X60,X61)) & p2(X60)) => (r1(X59,sK47(X59)) & ? [X61] : (~p2(X61) & r1(sK47(X59),X61)) & p2(sK47(X59))))), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f68,plain,( 0.06/0.38 ( ! [X60] : (! [X59] : (? [X61] : (~p2(X61) & r1(X60,X61)) => (~p2(sK48(X59)) & r1(X60,sK48(X59))))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f69,plain,( 0.06/0.38 ( ! [X0] : (? [X62] : (~p2(X62) & r1(X0,X62)) => (~p2(sK49) & r1(X0,sK49))) )), 0.06/0.38 introduced(choice_axiom,[])). 0.06/0.38 fof(f70,plain,( 0.06/0.38 (~p3(sK17) & r1(sK16,sK17)) & ! [X2] : ((r1(X2,sK18(X2)) & (~p3(sK19(X2)) & r1(sK18(X2),sK19(X2))) & p3(sK18(X2))) | p3(X2) | ~r1(sK16,X2)) & (~p1(sK20) & r1(sK16,sK20)) & (p4(sK16) | p2(sK16) | (~p3(sK21) & ~p2(sK21) & ~p1(sK21) & ! [X7] : ((~p4(X7) & ~p1(X7) & r1(X7,sK22(X7)) & ~p2(X7) & ~p3(X7)) | ! [X9] : (p2(X9) | p1(X9) | ! [X10] : ~r1(X9,X10) | p3(X9) | p4(X9) | ~r1(X7,X9)) | ~r1(sK21,X7)) & r1(sK21,sK23) & ~p4(sK21) & r1(sK16,sK21)) | ! [X12] : ~r1(sK16,X12) | p1(sK16) | p3(sK16)) & ((r1(sK24,sK25) & ! [X15] : (~r1(sK24,X15) | ! [X16] : (~r1(X15,X16) | p2(X16) | p1(X16) | ! [X17] : ~r1(X16,X17)) | (~p1(X15) & r1(X15,sK26(X15)) & ~p2(X15))) & ~p1(sK24) & ~p2(sK24) & r1(sK16,sK24)) | ! [X19] : ~r1(sK16,X19) | p1(sK16) | p2(sK16)) & ! [X20] : (~r1(sK16,X20) | (r1(X20,sK27(X20)) & ! [X22] : (~r1(sK27(X20),X22) | ~p2(X22) | ! [X23] : (~r1(X22,X23) | p2(X23))) & ~p2(sK27(X20))) | p2(X20)) & (! [X24] : ~r1(sK16,X24) | (~p1(sK28) & ! [X26] : (~r1(sK28,X26) | ! [X27] : (~r1(X26,X27) | p1(X27) | ! [X28] : ~r1(X27,X28)) | (~p1(X26) & r1(X26,sK29(X26)))) & r1(sK28,sK30) & r1(sK16,sK28)) | p1(sK16)) & (p3(sK16) | p2(sK16) | ! [X31] : ~r1(sK16,X31) | (r1(sK16,sK31) & ~p2(sK31) & ~p1(sK31) & ! [X33] : (~r1(sK31,X33) | (~p2(X33) & r1(X33,sK32(X33)) & ~p1(X33) & ~p3(X33)) | ! [X35] : (p2(X35) | p1(X35) | ! [X36] : ~r1(X35,X36) | p3(X35) | ~r1(X33,X35))) & r1(sK31,sK33) & ~p3(sK31)) | p1(sK16)) & (((! [X38] : (~r1(sK16,X38) | ! [X39] : ((r1(X39,sK34(X39)) & (r1(sK34(X39),sK35(X39)) & ~p2(sK35(X39))) & p2(sK34(X39))) | p2(X39) | ~r1(X38,X39))) | (! [X43] : (~p2(X43) | ! [X44] : (p2(X44) | ~r1(X43,X44)) | ~r1(sK36,X43)) & ~p2(sK36) & r1(sK16,sK36))) & ((r1(sK16,sK37) & (~p2(sK38) & r1(sK37,sK38)) & p2(sK37)) | p2(sK16))) | sP1(sK16)) & ! [X47] : (~r1(sK16,X47) | p1(X47) | (r1(X47,sK39(X47)) & p1(sK39(X47)) & (~p1(sK40(X47)) & r1(sK39(X47),sK40(X47))))) & ((! [X50] : (~r1(sK16,X50) | (p2(sK41(X50)) & (r1(sK41(X50),sK42(X50)) & ~p2(sK42(X50))) & r1(X50,sK41(X50))) | p2(X50)) & (r1(sK16,sK43) & ~p2(sK43))) | ! [X54] : ((p5(sK44(X54)) & r1(X54,sK44(X54))) | ~r1(sK16,X54))) & (((r1(sK45,sK46) & ! [X58] : (~r1(sK46,X58) | ~p5(X58))) & ~p1(sK45) & r1(sK16,sK45)) | (! [X59] : (~r1(sK16,X59) | (r1(X59,sK47(X59)) & (~p2(sK48(X59)) & r1(sK47(X59),sK48(X59))) & p2(sK47(X59))) | p2(X59)) & (~p2(sK49) & r1(sK16,sK49))))), 0.06/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49])],[f35,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36])). 0.06/0.38 fof(f120,plain,( 0.06/0.38 r1(sK16,sK45) | r1(sK16,sK49)), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f121,plain,( 0.06/0.38 r1(sK16,sK45) | ~p2(sK49)), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f122,plain,( 0.06/0.38 ( ! [X59] : (r1(sK16,sK45) | ~r1(sK16,X59) | p2(sK47(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f123,plain,( 0.06/0.38 ( ! [X59] : (r1(sK16,sK45) | ~r1(sK16,X59) | r1(sK47(X59),sK48(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f124,plain,( 0.06/0.38 ( ! [X59] : (r1(sK16,sK45) | ~r1(sK16,X59) | ~p2(sK48(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f125,plain,( 0.06/0.38 ( ! [X59] : (r1(sK16,sK45) | ~r1(sK16,X59) | r1(X59,sK47(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f132,plain,( 0.06/0.38 ( ! [X58] : (~r1(sK46,X58) | ~p5(X58) | r1(sK16,sK49)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f133,plain,( 0.06/0.38 ( ! [X58] : (~r1(sK46,X58) | ~p5(X58) | ~p2(sK49)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f134,plain,( 0.06/0.38 ( ! [X59,X58] : (~r1(sK46,X58) | ~p5(X58) | ~r1(sK16,X59) | p2(sK47(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f135,plain,( 0.06/0.38 ( ! [X59,X58] : (~r1(sK46,X58) | ~p5(X58) | ~r1(sK16,X59) | r1(sK47(X59),sK48(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f136,plain,( 0.06/0.38 ( ! [X59,X58] : (~r1(sK46,X58) | ~p5(X58) | ~r1(sK16,X59) | ~p2(sK48(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f137,plain,( 0.06/0.38 ( ! [X59,X58] : (~r1(sK46,X58) | ~p5(X58) | ~r1(sK16,X59) | r1(X59,sK47(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f138,plain,( 0.06/0.38 r1(sK45,sK46) | r1(sK16,sK49)), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f139,plain,( 0.06/0.38 r1(sK45,sK46) | ~p2(sK49)), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f140,plain,( 0.06/0.38 ( ! [X59] : (r1(sK45,sK46) | ~r1(sK16,X59) | p2(sK47(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f141,plain,( 0.06/0.38 ( ! [X59] : (r1(sK45,sK46) | ~r1(sK16,X59) | r1(sK47(X59),sK48(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f142,plain,( 0.06/0.38 ( ! [X59] : (r1(sK45,sK46) | ~r1(sK16,X59) | ~p2(sK48(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f143,plain,( 0.06/0.38 ( ! [X59] : (r1(sK45,sK46) | ~r1(sK16,X59) | r1(X59,sK47(X59)) | p2(X59)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f144,plain,( 0.06/0.38 ( ! [X54] : (~p2(sK43) | r1(X54,sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f145,plain,( 0.06/0.38 ( ! [X54] : (~p2(sK43) | p5(sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f146,plain,( 0.06/0.38 ( ! [X54] : (r1(sK16,sK43) | r1(X54,sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f147,plain,( 0.06/0.38 ( ! [X54] : (r1(sK16,sK43) | p5(sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f148,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | r1(X50,sK41(X50)) | p2(X50) | r1(X54,sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f149,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | r1(X50,sK41(X50)) | p2(X50) | p5(sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f150,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | ~p2(sK42(X50)) | p2(X50) | r1(X54,sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f151,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | ~p2(sK42(X50)) | p2(X50) | p5(sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f152,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | r1(sK41(X50),sK42(X50)) | p2(X50) | r1(X54,sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f153,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | r1(sK41(X50),sK42(X50)) | p2(X50) | p5(sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f154,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | p2(sK41(X50)) | p2(X50) | r1(X54,sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f155,plain,( 0.06/0.38 ( ! [X54,X50] : (~r1(sK16,X50) | p2(sK41(X50)) | p2(X50) | p5(sK44(X54)) | ~r1(sK16,X54)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f190,plain,( 0.06/0.38 ( ! [X20] : (p2(X20) | ~p2(sK27(X20)) | ~r1(sK16,X20)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f191,plain,( 0.06/0.38 ( ! [X23,X22,X20] : (p2(X20) | ~r1(sK27(X20),X22) | ~p2(X22) | ~r1(X22,X23) | p2(X23) | ~r1(sK16,X20)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f192,plain,( 0.06/0.38 ( ! [X20] : (r1(X20,sK27(X20)) | ~r1(sK16,X20) | p2(X20)) )), 0.06/0.38 inference(cnf_transformation,[],[f70])). 0.06/0.38 fof(f220,plain,( 0.06/0.38 ( ! [X2,X0,X1] : (r1(X0,X2) | ~r1(X1,X2) | ~r1(X0,X1)) )), 0.06/0.38 inference(cnf_transformation,[],[f11])). 0.06/0.38 fof(f504,plain,( 0.06/0.38 spl50_98 <=> ! [X54] : (p5(sK44(X54)) | ~r1(sK16,X54))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_98])])). 0.06/0.38 fof(f505,plain,( 0.06/0.38 ( ! [X54] : (p5(sK44(X54)) | ~r1(sK16,X54)) ) | ~spl50_98), 0.06/0.38 inference(avatar_component_clause,[],[f504])). 0.06/0.38 fof(f507,plain,( 0.06/0.38 spl50_100 <=> ! [X50] : (~r1(sK16,X50) | p2(X50) | p2(sK41(X50)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_100])])). 0.06/0.38 fof(f508,plain,( 0.06/0.38 ( ! [X50] : (p2(sK41(X50)) | p2(X50) | ~r1(sK16,X50)) ) | ~spl50_100), 0.06/0.38 inference(avatar_component_clause,[],[f507])). 0.06/0.38 fof(f509,plain,( 0.06/0.38 spl50_98 | spl50_100), 0.06/0.38 inference(avatar_split_clause,[],[f155,f507,f504])). 0.06/0.38 fof(f511,plain,( 0.06/0.38 spl50_102 <=> ! [X54] : (r1(X54,sK44(X54)) | ~r1(sK16,X54))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_102])])). 0.06/0.38 fof(f512,plain,( 0.06/0.38 ( ! [X54] : (r1(X54,sK44(X54)) | ~r1(sK16,X54)) ) | ~spl50_102), 0.06/0.38 inference(avatar_component_clause,[],[f511])). 0.06/0.38 fof(f513,plain,( 0.06/0.38 spl50_102 | spl50_100), 0.06/0.38 inference(avatar_split_clause,[],[f154,f507,f511])). 0.06/0.38 fof(f515,plain,( 0.06/0.38 spl50_104 <=> ! [X50] : (~r1(sK16,X50) | p2(X50) | r1(sK41(X50),sK42(X50)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_104])])). 0.06/0.38 fof(f516,plain,( 0.06/0.38 ( ! [X50] : (r1(sK41(X50),sK42(X50)) | p2(X50) | ~r1(sK16,X50)) ) | ~spl50_104), 0.06/0.38 inference(avatar_component_clause,[],[f515])). 0.06/0.38 fof(f517,plain,( 0.06/0.38 spl50_98 | spl50_104), 0.06/0.38 inference(avatar_split_clause,[],[f153,f515,f504])). 0.06/0.38 fof(f518,plain,( 0.06/0.38 spl50_102 | spl50_104), 0.06/0.38 inference(avatar_split_clause,[],[f152,f515,f511])). 0.06/0.38 fof(f520,plain,( 0.06/0.38 spl50_106 <=> ! [X50] : (~r1(sK16,X50) | p2(X50) | ~p2(sK42(X50)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_106])])). 0.06/0.38 fof(f521,plain,( 0.06/0.38 ( ! [X50] : (p2(X50) | ~r1(sK16,X50) | ~p2(sK42(X50))) ) | ~spl50_106), 0.06/0.38 inference(avatar_component_clause,[],[f520])). 0.06/0.38 fof(f522,plain,( 0.06/0.38 spl50_98 | spl50_106), 0.06/0.38 inference(avatar_split_clause,[],[f151,f520,f504])). 0.06/0.38 fof(f523,plain,( 0.06/0.38 spl50_102 | spl50_106), 0.06/0.38 inference(avatar_split_clause,[],[f150,f520,f511])). 0.06/0.38 fof(f525,plain,( 0.06/0.38 spl50_108 <=> ! [X50] : (~r1(sK16,X50) | p2(X50) | r1(X50,sK41(X50)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_108])])). 0.06/0.38 fof(f526,plain,( 0.06/0.38 ( ! [X50] : (r1(X50,sK41(X50)) | p2(X50) | ~r1(sK16,X50)) ) | ~spl50_108), 0.06/0.38 inference(avatar_component_clause,[],[f525])). 0.06/0.38 fof(f527,plain,( 0.06/0.38 spl50_98 | spl50_108), 0.06/0.38 inference(avatar_split_clause,[],[f149,f525,f504])). 0.06/0.38 fof(f528,plain,( 0.06/0.38 spl50_102 | spl50_108), 0.06/0.38 inference(avatar_split_clause,[],[f148,f525,f511])). 0.06/0.38 fof(f533,plain,( 0.06/0.38 spl50_110 <=> r1(sK16,sK43)), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_110])])). 0.06/0.38 fof(f534,plain,( 0.06/0.38 r1(sK16,sK43) | ~spl50_110), 0.06/0.38 inference(avatar_component_clause,[],[f533])). 0.06/0.38 fof(f535,plain,( 0.06/0.38 spl50_98 | spl50_110), 0.06/0.38 inference(avatar_split_clause,[],[f147,f533,f504])). 0.06/0.38 fof(f536,plain,( 0.06/0.38 spl50_102 | spl50_110), 0.06/0.38 inference(avatar_split_clause,[],[f146,f533,f511])). 0.06/0.38 fof(f541,plain,( 0.06/0.38 spl50_113 <=> ~p2(sK43)), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_113])])). 0.06/0.38 fof(f542,plain,( 0.06/0.38 ~p2(sK43) | ~spl50_113), 0.06/0.38 inference(avatar_component_clause,[],[f541])). 0.06/0.38 fof(f543,plain,( 0.06/0.38 spl50_98 | ~spl50_113), 0.06/0.38 inference(avatar_split_clause,[],[f145,f541,f504])). 0.06/0.38 fof(f544,plain,( 0.06/0.38 spl50_102 | ~spl50_113), 0.06/0.38 inference(avatar_split_clause,[],[f144,f541,f511])). 0.06/0.38 fof(f546,plain,( 0.06/0.38 spl50_114 <=> ! [X59] : (~r1(sK16,X59) | p2(X59) | r1(X59,sK47(X59)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_114])])). 0.06/0.38 fof(f547,plain,( 0.06/0.38 ( ! [X59] : (r1(X59,sK47(X59)) | p2(X59) | ~r1(sK16,X59)) ) | ~spl50_114), 0.06/0.38 inference(avatar_component_clause,[],[f546])). 0.06/0.38 fof(f552,plain,( 0.06/0.38 spl50_116 <=> r1(sK45,sK46)), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_116])])). 0.06/0.38 fof(f553,plain,( 0.06/0.38 r1(sK45,sK46) | ~spl50_116), 0.06/0.38 inference(avatar_component_clause,[],[f552])). 0.06/0.38 fof(f554,plain,( 0.06/0.38 spl50_114 | spl50_116), 0.06/0.38 inference(avatar_split_clause,[],[f143,f552,f546])). 0.06/0.38 fof(f556,plain,( 0.06/0.38 spl50_118 <=> ! [X59] : (~r1(sK16,X59) | p2(X59) | ~p2(sK48(X59)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_118])])). 0.06/0.38 fof(f557,plain,( 0.06/0.38 ( ! [X59] : (p2(X59) | ~r1(sK16,X59) | ~p2(sK48(X59))) ) | ~spl50_118), 0.06/0.38 inference(avatar_component_clause,[],[f556])). 0.06/0.38 fof(f558,plain,( 0.06/0.38 spl50_118 | spl50_116), 0.06/0.38 inference(avatar_split_clause,[],[f142,f552,f556])). 0.06/0.38 fof(f560,plain,( 0.06/0.38 spl50_120 <=> ! [X59] : (~r1(sK16,X59) | p2(X59) | r1(sK47(X59),sK48(X59)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_120])])). 0.06/0.38 fof(f561,plain,( 0.06/0.38 ( ! [X59] : (r1(sK47(X59),sK48(X59)) | p2(X59) | ~r1(sK16,X59)) ) | ~spl50_120), 0.06/0.38 inference(avatar_component_clause,[],[f560])). 0.06/0.38 fof(f562,plain,( 0.06/0.38 spl50_120 | spl50_116), 0.06/0.38 inference(avatar_split_clause,[],[f141,f552,f560])). 0.06/0.38 fof(f564,plain,( 0.06/0.38 spl50_122 <=> ! [X59] : (~r1(sK16,X59) | p2(X59) | p2(sK47(X59)))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_122])])). 0.06/0.38 fof(f565,plain,( 0.06/0.38 ( ! [X59] : (p2(sK47(X59)) | p2(X59) | ~r1(sK16,X59)) ) | ~spl50_122), 0.06/0.38 inference(avatar_component_clause,[],[f564])). 0.06/0.38 fof(f566,plain,( 0.06/0.38 spl50_122 | spl50_116), 0.06/0.38 inference(avatar_split_clause,[],[f140,f552,f564])). 0.06/0.38 fof(f571,plain,( 0.06/0.38 spl50_125 <=> ~p2(sK49)), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_125])])). 0.06/0.38 fof(f572,plain,( 0.06/0.38 ~p2(sK49) | ~spl50_125), 0.06/0.38 inference(avatar_component_clause,[],[f571])). 0.06/0.38 fof(f573,plain,( 0.06/0.38 ~spl50_125 | spl50_116), 0.06/0.38 inference(avatar_split_clause,[],[f139,f552,f571])). 0.06/0.38 fof(f578,plain,( 0.06/0.38 spl50_126 <=> r1(sK16,sK49)), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_126])])). 0.06/0.38 fof(f579,plain,( 0.06/0.38 r1(sK16,sK49) | ~spl50_126), 0.06/0.38 inference(avatar_component_clause,[],[f578])). 0.06/0.38 fof(f580,plain,( 0.06/0.38 spl50_126 | spl50_116), 0.06/0.38 inference(avatar_split_clause,[],[f138,f552,f578])). 0.06/0.38 fof(f582,plain,( 0.06/0.38 spl50_128 <=> ! [X58] : (~r1(sK46,X58) | ~p5(X58))), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_128])])). 0.06/0.38 fof(f583,plain,( 0.06/0.38 ( ! [X58] : (~r1(sK46,X58) | ~p5(X58)) ) | ~spl50_128), 0.06/0.38 inference(avatar_component_clause,[],[f582])). 0.06/0.38 fof(f584,plain,( 0.06/0.38 spl50_114 | spl50_128), 0.06/0.38 inference(avatar_split_clause,[],[f137,f582,f546])). 0.06/0.38 fof(f585,plain,( 0.06/0.38 spl50_118 | spl50_128), 0.06/0.38 inference(avatar_split_clause,[],[f136,f582,f556])). 0.06/0.38 fof(f586,plain,( 0.06/0.38 spl50_120 | spl50_128), 0.06/0.38 inference(avatar_split_clause,[],[f135,f582,f560])). 0.06/0.38 fof(f587,plain,( 0.06/0.38 spl50_122 | spl50_128), 0.06/0.38 inference(avatar_split_clause,[],[f134,f582,f564])). 0.06/0.38 fof(f588,plain,( 0.06/0.38 ~spl50_125 | spl50_128), 0.06/0.38 inference(avatar_split_clause,[],[f133,f582,f571])). 0.06/0.38 fof(f589,plain,( 0.06/0.38 spl50_126 | spl50_128), 0.06/0.38 inference(avatar_split_clause,[],[f132,f582,f578])). 0.06/0.38 fof(f606,plain,( 0.06/0.38 spl50_132 <=> r1(sK16,sK45)), 0.06/0.38 introduced(avatar_definition,[new_symbols(naming,[spl50_132])])). 0.06/0.38 fof(f607,plain,( 0.06/0.38 r1(sK16,sK45) | ~spl50_132), 0.06/0.38 inference(avatar_component_clause,[],[f606])). 0.06/0.38 fof(f608,plain,( 0.06/0.38 spl50_114 | spl50_132), 0.06/0.38 inference(avatar_split_clause,[],[f125,f606,f546])). 0.06/0.38 fof(f609,plain,( 0.06/0.38 spl50_118 | spl50_132), 0.06/0.38 inference(avatar_split_clause,[],[f124,f606,f556])). 0.06/0.38 fof(f610,plain,( 0.06/0.38 spl50_120 | spl50_132), 0.06/0.38 inference(avatar_split_clause,[],[f123,f606,f560])). 0.06/0.38 fof(f611,plain,( 0.06/0.38 spl50_122 | spl50_132), 0.06/0.38 inference(avatar_split_clause,[],[f122,f606,f564])). 0.06/0.38 fof(f612,plain,( 0.06/0.38 ~spl50_125 | spl50_132), 0.06/0.38 inference(avatar_split_clause,[],[f121,f606,f571])). 0.06/0.38 fof(f613,plain,( 0.06/0.38 spl50_126 | spl50_132), 0.06/0.38 inference(avatar_split_clause,[],[f120,f606,f578])). 0.06/0.38 fof(f622,plain,( 0.06/0.38 ~p2(sK27(sK49)) | (~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f572,f579,f190])). 0.06/0.38 fof(f628,plain,( 0.06/0.38 r1(sK49,sK27(sK49)) | (~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f572,f579,f192])). 0.06/0.38 fof(f659,plain,( 0.06/0.38 r1(sK16,sK27(sK49)) | (~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f579,f628,f220])). 0.06/0.38 fof(f706,plain,( 0.06/0.38 r1(sK27(sK49),sK47(sK27(sK49))) | (~spl50_114 | ~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f622,f659,f547])). 0.06/0.38 fof(f707,plain,( 0.06/0.38 ~p2(sK48(sK27(sK49))) | (~spl50_118 | ~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f622,f659,f557])). 0.06/0.38 fof(f708,plain,( 0.06/0.38 r1(sK47(sK27(sK49)),sK48(sK27(sK49))) | (~spl50_120 | ~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f622,f659,f561])). 0.06/0.38 fof(f709,plain,( 0.06/0.38 p2(sK47(sK27(sK49))) | (~spl50_122 | ~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f622,f659,f565])). 0.06/0.38 fof(f822,plain,( 0.06/0.38 ~r1(sK47(sK27(sK49)),sK48(sK27(sK49))) | (~spl50_114 | ~spl50_118 | ~spl50_122 | ~spl50_125 | ~spl50_126)), 0.06/0.38 inference(unit_resulting_resolution,[],[f707,f572,f579,f709,f706,f191])). 0.06/0.38 fof(f831,plain,( 0.06/0.38 $false | (~spl50_114 | ~spl50_118 | ~spl50_120 | ~spl50_122 | ~spl50_125 | ~spl50_126)), 0.06/0.38 inference(subsumption_resolution,[],[f822,f708])). 0.06/0.38 fof(f832,plain,( 0.06/0.38 ~spl50_114 | ~spl50_118 | ~spl50_120 | ~spl50_122 | spl50_125 | ~spl50_126), 0.06/0.38 inference(avatar_contradiction_clause,[],[f831])). 0.06/0.38 fof(f856,plain,( 0.06/0.38 r1(sK16,sK46) | (~spl50_116 | ~spl50_132)), 0.06/0.38 inference(unit_resulting_resolution,[],[f553,f607,f220])). 0.06/0.38 fof(f884,plain,( 0.06/0.38 p5(sK44(sK46)) | (~spl50_98 | ~spl50_116 | ~spl50_132)), 0.06/0.38 inference(unit_resulting_resolution,[],[f856,f505])). 0.06/0.38 fof(f885,plain,( 0.06/0.38 r1(sK46,sK44(sK46)) | (~spl50_102 | ~spl50_116 | ~spl50_132)), 0.06/0.38 inference(unit_resulting_resolution,[],[f856,f512])). 0.06/0.38 fof(f902,plain,( 0.06/0.38 ~r1(sK46,sK44(sK46)) | (~spl50_98 | ~spl50_116 | ~spl50_128 | ~spl50_132)), 0.06/0.38 inference(unit_resulting_resolution,[],[f884,f583])). 0.06/0.38 fof(f903,plain,( 0.06/0.38 $false | (~spl50_98 | ~spl50_102 | ~spl50_116 | ~spl50_128 | ~spl50_132)), 0.06/0.38 inference(subsumption_resolution,[],[f902,f885])). 0.06/0.38 fof(f904,plain,( 0.06/0.38 ~spl50_98 | ~spl50_102 | ~spl50_116 | ~spl50_128 | ~spl50_132), 0.06/0.38 inference(avatar_contradiction_clause,[],[f903])). 0.06/0.38 fof(f905,plain,( 0.06/0.38 ~p2(sK27(sK43)) | (~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f542,f534,f190])). 0.06/0.38 fof(f906,plain,( 0.06/0.38 r1(sK43,sK27(sK43)) | (~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f542,f534,f192])). 0.06/0.38 fof(f925,plain,( 0.06/0.38 r1(sK16,sK27(sK43)) | (~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f534,f906,f220])). 0.06/0.38 fof(f982,plain,( 0.06/0.38 p2(sK41(sK27(sK43))) | (~spl50_100 | ~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f905,f925,f508])). 0.06/0.38 fof(f984,plain,( 0.06/0.38 r1(sK41(sK27(sK43)),sK42(sK27(sK43))) | (~spl50_104 | ~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f905,f925,f516])). 0.06/0.38 fof(f985,plain,( 0.06/0.38 ~p2(sK42(sK27(sK43))) | (~spl50_106 | ~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f905,f925,f521])). 0.06/0.38 fof(f986,plain,( 0.06/0.38 r1(sK27(sK43),sK41(sK27(sK43))) | (~spl50_108 | ~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f905,f925,f526])). 0.06/0.38 fof(f1153,plain,( 0.06/0.38 ~r1(sK41(sK27(sK43)),sK42(sK27(sK43))) | (~spl50_100 | ~spl50_106 | ~spl50_108 | ~spl50_110 | ~spl50_113)), 0.06/0.38 inference(unit_resulting_resolution,[],[f985,f542,f534,f982,f986,f191])). 0.06/0.38 fof(f1168,plain,( 0.06/0.38 $false | (~spl50_100 | ~spl50_104 | ~spl50_106 | ~spl50_108 | ~spl50_110 | ~spl50_113)), 0.06/0.38 inference(subsumption_resolution,[],[f1153,f984])). 0.06/0.38 fof(f1169,plain,( 0.06/0.38 ~spl50_100 | ~spl50_104 | ~spl50_106 | ~spl50_108 | ~spl50_110 | spl50_113), 0.06/0.38 inference(avatar_contradiction_clause,[],[f1168])). 0.06/0.38 fof(f1170,plain,( 0.06/0.38 $false), 0.06/0.38 inference(avatar_sat_refutation,[],[f509,f513,f517,f518,f522,f523,f527,f528,f535,f536,f543,f544,f554,f558,f562,f566,f573,f580,f584,f585,f586,f587,f588,f589,f608,f609,f610,f611,f612,f613,f832,f904,f1169])). 0.06/0.38 % SZS output end Proof for theBenchmark 0.06/0.38 % ------------------------------ 0.06/0.38 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.06/0.38 % Termination reason: Refutation 0.06/0.38 0.06/0.38 % Memory used [KB]: 11129 0.06/0.38 % Time elapsed: 0.083 s 0.06/0.38 % ------------------------------ 0.06/0.38 % ------------------------------ 0.06/0.38 % Success in time 0.118 s 0.06/0.38 EOF