0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.15 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.vgExhxLiV9 0.15/0.36 % Computer : n007.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1200 0.15/0.36 % DateTime : Tue Jul 13 15:58:34 EDT 2021 0.15/0.37 % CPUTime : 0.15/0.37 % Running portfolio for 120 s 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.37 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.55/0.68 % Estimated wc time : 1286 0.55/0.68 % Estimated cpu time (7 cpus) : 183.71428571428572 0.59/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 70.97/10.81 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 87.72/13.21 % Solved by lams/old_sp2.sh. 87.72/13.21 % done 94 iterations in 2.363s 87.72/13.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 87.72/13.21 % SZS output start Refutation 87.72/13.21 tff(cPU_X2310A_pme, conjecture, 87.72/13.21 (((![X0:((a > $o))]: 87.72/13.21 ((?[Xt:a]: (X0(Xt) & (![Xu:a]: (X0(Xu) => X0(cL(Xu)))))) => X0(cZ))) & 87.72/13.21 (![Xt:a]: ((Xt = cP(cL(Xt),cR(Xt))) <=> (Xt != cZ))) & 87.72/13.21 (![Xx:a,Xy:a]: (cR(cP(Xx,Xy)) = Xy)) & 87.72/13.21 (![Xx:a,Xy:a]: (cL(cP(Xx,Xy)) = Xx)) & (cR(cZ) = cZ) & (cL(cZ) = cZ)) => 87.72/13.21 ((^[Xy:a]: 87.72/13.21 (?[Xx:a]: 87.72/13.21 ((cG(cP(Xx,Xy)) | cF(cP(Xx,Xy))) & 87.72/13.21 (![Xx_17:a]: 87.72/13.21 ((![X0:((a > $o))]: 87.72/13.21 ((X0(Xx) & (![Xz:a]: (X0(Xz) => X0(cL(Xz))))) => 87.72/13.21 (?[Xv:a]: (X0(Xv) & (cR(Xv) = Xx_17))))) => 87.72/13.21 cX(Xx_17)))))) = 87.72/13.21 (^[Xz:a]: 87.72/13.21 ((?[Xx:a]: 87.72/13.21 ((![Xx_19:a]: 87.72/13.21 ((![X0:((a > $o))]: 87.72/13.21 (((![Xz0:a]: (X0(Xz0) => X0(cL(Xz0)))) & X0(Xx)) => 87.72/13.21 (?[Xv:a]: ((cR(Xv) = Xx_19) & X0(Xv))))) => 87.72/13.21 cX(Xx_19))) & 87.72/13.21 cG(cP(Xx,Xz)))) | 87.72/13.21 (?[Xx:a]: 87.72/13.21 (cF(cP(Xx,Xz)) & 87.72/13.21 (![Xx_18:a]: 87.72/13.21 ((![X0:((a > $o))]: 87.72/13.21 (((![Xz0:a]: (X0(Xz0) => X0(cL(Xz0)))) & X0(Xx)) => 87.72/13.21 (?[Xv:a]: (X0(Xv) & (cR(Xv) = Xx_18))))) => 87.72/13.21 cX(Xx_18)))))))))). 87.72/13.21 tff(zf_stmt_0, negated_conjecture, 87.72/13.21 (~ 87.72/13.21 (((![X0:((a > $o))]: 87.72/13.21 ((?[Xt:a]: (X0(Xt) & (![Xu:a]: (X0(Xu) => X0(cL(Xu)))))) => X0(cZ))) & 87.72/13.21 (![Xt:a]: ((Xt = cP(cL(Xt),cR(Xt))) <=> (Xt != cZ))) & 87.72/13.21 (![Xx:a,Xy:a]: (cR(cP(Xx,Xy)) = Xy)) & 87.72/13.21 (![Xx:a,Xy:a]: (cL(cP(Xx,Xy)) = Xx)) & (cR(cZ) = cZ) & (cL(cZ) = cZ)) => 87.72/13.21 ((^[Xy:a]: 87.72/13.21 (?[Xx:a]: 87.72/13.21 ((cG(cP(Xx,Xy)) | cF(cP(Xx,Xy))) & 87.72/13.21 (![Xx_17:a]: 87.72/13.21 ((![X0:((a > $o))]: 87.72/13.21 ((X0(Xx) & (![Xz:a]: (X0(Xz) => X0(cL(Xz))))) => 87.72/13.21 (?[Xv:a]: (X0(Xv) & (cR(Xv) = Xx_17))))) => 87.72/13.21 cX(Xx_17)))))) = 87.72/13.21 (^[Xz:a]: 87.72/13.21 ((?[Xx:a]: 87.72/13.21 ((![Xx_19:a]: 87.72/13.21 ((![X0:((a > $o))]: 87.72/13.21 (((![Xz0:a]: (X0(Xz0) => X0(cL(Xz0)))) & X0(Xx)) => 87.72/13.21 (?[Xv:a]: ((cR(Xv) = Xx_19) & X0(Xv))))) => 87.72/13.21 cX(Xx_19))) & 87.72/13.21 cG(cP(Xx,Xz)))) | 87.72/13.21 (?[Xx:a]: 87.72/13.21 (cF(cP(Xx,Xz)) & 87.72/13.21 (![Xx_18:a]: 87.72/13.21 ((![X0:((a > $o))]: 87.72/13.21 (((![Xz0:a]: (X0(Xz0) => X0(cL(Xz0)))) & X0(Xx)) => 87.72/13.21 (?[Xv:a]: (X0(Xv) & (cR(Xv) = Xx_18))))) => 87.72/13.21 cX(Xx_18))))))))))). 87.72/13.21 tff('0', plain, 87.72/13.21 ~ (((!!((^[Y0 : a > $o]: 87.72/13.21 ((??((^[Y1 : a]: 87.72/13.21 (Y0(Y1) & (!!((^[Y2 : a]: (Y0(Y2) => Y0(cL(Y2)))))))))) => 87.72/13.21 Y0(cZ)))))& 87.72/13.21 (!!((^[Y0 : a]: ((Y0 = cP(cL(Y0), cR(Y0))) <=> (Y0 != cZ)))))& 87.72/13.21 (!!((^[Y0 : a]: (!!((^[Y1 : a]: (cR(cP(Y0, Y1)) = Y1)))))))& 87.72/13.21 (!!((^[Y0 : a]: (!!((^[Y1 : a]: (cL(cP(Y0, Y1)) = Y0)))))))& 87.72/13.21 (cR(cZ) = cZ)&(cL(cZ) = cZ)) => 87.72/13.21 ((^[Y0 : a]: 87.72/13.21 (??((^[Y1 : a]: 87.72/13.21 ((cG(cP(Y1, Y0)) | cF(cP(Y1, Y0))) & 87.72/13.21 (!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 ((Y3(Y1) & 87.72/13.21 (!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4))))))) => 87.72/13.21 (??((^[Y4 : a]: (Y3(Y4) & (cR(Y4) = Y2))))))))) => 87.72/13.21 cX(Y2)))))))))) = 87.72/13.21 (^[Y0 : a]: 87.72/13.21 ((??((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 (((!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4)))))) & 87.72/13.21 Y3(Y1)) => 87.72/13.21 (??((^[Y4 : a]: ((cR(Y4) = Y2) & Y3(Y4))))))))) => 87.72/13.21 cX(Y2))))) & 87.72/13.21 cG(cP(Y1, Y0)))))) | 87.72/13.21 (??((^[Y1 : a]: 87.72/13.21 (cF(cP(Y1, Y0)) & 87.72/13.21 (!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 (((!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4)))))) & 87.72/13.21 Y3(Y1)) => 87.72/13.21 (??((^[Y4 : a]: (Y3(Y4) & (cR(Y4) = Y2))))))))) => 87.72/13.21 cX(Y2))))))))))))), 87.72/13.21 inference('cnf', [status(esa)], [zf_stmt_0])). 87.72/13.21 tff('1', plain, 87.72/13.21 (^[Y0 : a]: 87.72/13.21 (??((^[Y1 : a]: 87.72/13.21 ((cG(cP(Y1, Y0)) | cF(cP(Y1, Y0))) & 87.72/13.21 (!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 ((Y3(Y1) & 87.72/13.21 (!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4))))))) => 87.72/13.21 (??((^[Y4 : a]: (Y3(Y4) & (cR(Y4) = Y2))))))))) => 87.72/13.21 cX(Y2)))))))))) 87.72/13.21 != (^[Y0 : a]: 87.72/13.21 ((??((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 (((!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4)))))) & 87.72/13.21 Y3(Y1)) => 87.72/13.21 (??((^[Y4 : a]: ((cR(Y4) = Y2) & Y3(Y4))))))))) => 87.72/13.21 cX(Y2))))) & 87.72/13.21 cG(cP(Y1, Y0)))))) | 87.72/13.21 (??((^[Y1 : a]: 87.72/13.21 (cF(cP(Y1, Y0)) & 87.72/13.21 (!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 (((!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4)))))) & 87.72/13.21 Y3(Y1)) => 87.72/13.21 (??((^[Y4 : a]: (Y3(Y4) & (cR(Y4) = Y2))))))))) => 87.72/13.21 cX(Y2))))))))))), 87.72/13.21 inference('lazy_cnf_imply', [status(thm)], ['0'])). 87.72/13.21 tff('2', plain, 87.72/13.21 (^[Y0 : a]: 87.72/13.21 (??((^[Y1 : a]: 87.72/13.21 ((cG(cP(Y1, Y0)) | cF(cP(Y1, Y0))) & 87.72/13.21 (!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 ((Y3(Y1) & 87.72/13.21 (!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4))))))) => 87.72/13.21 (??((^[Y4 : a]: (Y3(Y4) & (cR(Y4) = Y2))))))))) => 87.72/13.21 cX(Y2))))))))))('#_fresh_sk21') 87.72/13.21 != (^[Y0 : a]: 87.72/13.21 ((??((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 (((!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4)))))) & 87.72/13.21 Y3(Y1)) => 87.72/13.21 (??((^[Y4 : a]: ((cR(Y4) = Y2) & Y3(Y4))))))))) => 87.72/13.21 cX(Y2))))) & 87.72/13.21 cG(cP(Y1, Y0)))))) | 87.72/13.21 (??((^[Y1 : a]: 87.72/13.21 (cF(cP(Y1, Y0)) & 87.72/13.21 (!!((^[Y2 : a]: 87.72/13.21 ((!!((^[Y3 : a > $o]: 87.72/13.21 (((!!((^[Y4 : a]: (Y3(Y4) => Y3(cL(Y4)))))) & 87.72/13.21 Y3(Y1)) => 87.72/13.21 (??((^[Y4 : a]: (Y3(Y4) & (cR(Y4) = Y2))))))))) => 87.72/13.21 cX(Y2)))))))))))('#_fresh_sk21'), 87.72/13.21 inference('neg_ext', [status(thm)], ['1'])). 87.72/13.21 tff('3', plain, 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))) 87.72/13.21 != ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('ho_norm', [status(thm)], ['2'])). 87.72/13.21 tff('4', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))) 87.72/13.21 | ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('eq_elim', [status(thm)], ['3'])). 87.72/13.21 tff('5', plain, 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))) 87.72/13.21 <= (( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('split', [status(esa)], ['4'])). 87.72/13.21 tff('6', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('split', [status(esa)], ['4'])). 87.72/13.21 tff('7', plain, 87.72/13.21 ( ((cG(cP('#sk348', '#_fresh_sk21')) | cF(cP('#sk348', '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1('#sk348') & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_exists', [status(thm)], ['6'])). 87.72/13.21 tff('8', plain, 87.72/13.21 ( (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1('#sk348') & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['7'])). 87.72/13.21 tff('9', plain, 87.72/13.21 ( (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1('#sk348') & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['7'])). 87.72/13.21 tff('10', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 (~ '#form300'(X1) 87.72/13.21 | (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('11', plain, 87.72/13.21 ( '#form300'('#sk348')) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['8', '10'])). 87.72/13.21 tff('12', plain, 87.72/13.21 ( (cG(cP('#sk348', '#_fresh_sk21')) | cF(cP('#sk348', '#_fresh_sk21')))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['7'])). 87.72/13.21 tff('13', plain, 87.72/13.21 (( cG(cP('#sk348', '#_fresh_sk21')) | cF(cP('#sk348', '#_fresh_sk21')))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['12'])). 87.72/13.21 tff('14', plain, 87.72/13.21 ( cF(cP('#sk348', '#_fresh_sk21'))) 87.72/13.21 <= (( cF(cP('#sk348', '#_fresh_sk21')))), 87.72/13.21 inference('split', [status(esa)], ['13'])). 87.72/13.21 tff('15', plain, 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))) 87.72/13.21 != ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('ho_norm', [status(thm)], ['2'])). 87.72/13.21 tff('16', plain, 87.72/13.21 (~ (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))) 87.72/13.21 | ~ ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('eq_elim', [status(thm)], ['15'])). 87.72/13.21 tff('17', plain, 87.72/13.21 (~ ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('split', [status(esa)], ['16'])). 87.72/13.21 tff('18', plain, 87.72/13.21 (~ (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['17'])). 87.72/13.21 tff('19', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 ~ (cF(cP(X1, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & Y1(X1)) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('lazy_cnf_forall', [status(thm)], ['18'])). 87.72/13.21 tff('20', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 (~ cF(cP(X1, '#_fresh_sk21')) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & 87.72/13.21 Y1(X1)) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['19'])). 87.72/13.21 tff('21', plain, 87.72/13.21 (~ (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('split', [status(esa)], ['16'])). 87.72/13.21 tff('22', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 ~ ((cG(cP(X1, '#_fresh_sk21')) | cF(cP(X1, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_forall', [status(thm)], ['21'])). 87.72/13.21 tff('23', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 (~ (cG(cP(X1, '#_fresh_sk21')) | cF(cP(X1, '#_fresh_sk21'))) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['22'])). 87.72/13.21 tff('24', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 (~ cG(cP(X1, '#_fresh_sk21')) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['23'])). 87.72/13.21 tff('25', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 ( '#form300'(X1) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('26', plain, 87.72/13.21 (![X1 : a]: (~ '#form300'(X1) | ~ cF(cP(X1, '#_fresh_sk21')))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['20', '25'])). 87.72/13.21 tff('27', plain, 87.72/13.21 (~ '#form300'('#sk348')) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))) & 87.72/13.21 ( cF(cP('#sk348', '#_fresh_sk21')))), 87.72/13.21 inference('sup-', [status(thm)], ['14', '26'])). 87.72/13.21 tff('28', plain, 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) | 87.72/13.21 ~ ( cF(cP('#sk348', '#_fresh_sk21'))) | 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('sup-', [status(thm)], ['11', '27'])). 87.72/13.21 tff('29', plain, 87.72/13.21 ( '#form300'('#sk348')) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['8', '10'])). 87.72/13.21 tff('30', plain, 87.72/13.21 ( cG(cP('#sk348', '#_fresh_sk21'))) 87.72/13.21 <= (( cG(cP('#sk348', '#_fresh_sk21')))), 87.72/13.21 inference('split', [status(esa)], ['13'])). 87.72/13.21 tff('31', plain, 87.72/13.21 (~ (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21'))))))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['17'])). 87.72/13.21 tff('32', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 ~ ((!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & Y1(X1)) => 87.72/13.21 (??((^[Y2 : a]: ((cR(Y2) = Y0) & Y1(Y2))))))))) => 87.72/13.21 cX(Y0))))) & 87.72/13.21 cG(cP(X1, '#_fresh_sk21')))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('lazy_cnf_forall', [status(thm)], ['31'])). 87.72/13.21 tff('33', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 (~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & Y1(X1)) => 87.72/13.21 (??((^[Y2 : a]: ((cR(Y2) = Y0) & Y1(Y2))))))))) => 87.72/13.21 cX(Y0))))) 87.72/13.21 | ~ cG(cP(X1, '#_fresh_sk21')))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['32'])). 87.72/13.21 tff('34', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 ( '#form300'(X1) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('35', plain, 87.72/13.21 (![X1 : a]: (~ '#form300'(X1) | ~ cG(cP(X1, '#_fresh_sk21')))) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['33', '34'])). 87.72/13.21 tff('36', plain, 87.72/13.21 (~ '#form300'('#sk348')) 87.72/13.21 <= (~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))) & 87.72/13.21 ( cG(cP('#sk348', '#_fresh_sk21')))), 87.72/13.21 inference('sup-', [status(thm)], ['30', '35'])). 87.72/13.21 tff('37', plain, 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) | 87.72/13.21 ~ ( cG(cP('#sk348', '#_fresh_sk21'))) | 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('sup-', [status(thm)], ['29', '36'])). 87.72/13.21 tff('38', plain, 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) | 87.72/13.21 ~ 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('split', [status(esa)], ['16'])). 87.72/13.21 tff('39', plain, 87.72/13.21 ( cF(cP('#sk348', '#_fresh_sk21'))) | 87.72/13.21 ( cG(cP('#sk348', '#_fresh_sk21'))) | 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('split', [status(esa)], ['13'])). 87.72/13.21 tff('40', plain, 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))) | 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('split', [status(esa)], ['4'])). 87.72/13.21 tff('41', plain, 87.72/13.21 ( ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('sat_resolution*', [status(thm)], 87.72/13.21 ['28', '37', '38', '39', '40'])). 87.72/13.21 tff('42', plain, 87.72/13.21 ((??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) | 87.72/13.21 (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('simpl_trail', [status(thm)], ['5', '41'])). 87.72/13.21 tff('43', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))) 87.72/13.21 | (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['42'])). 87.72/13.21 tff('44', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('split', [status(esa)], ['43'])). 87.72/13.21 tff('45', plain, 87.72/13.21 ( (cF(cP('#sk1461', '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & 87.72/13.21 Y1('#sk1461')) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_exists', [status(thm)], ['44'])). 87.72/13.21 tff('46', plain, 87.72/13.21 ( cF(cP('#sk1461', '#_fresh_sk21'))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['45'])). 87.72/13.21 tff('47', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21'))))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))))), 87.72/13.21 inference('split', [status(esa)], ['43'])). 87.72/13.21 tff('48', plain, 87.72/13.21 ( ((!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & 87.72/13.21 Y1('#sk1462')) => 87.72/13.21 (??((^[Y2 : a]: ((cR(Y2) = Y0) & Y1(Y2))))))))) => 87.72/13.21 cX(Y0))))) & 87.72/13.21 cG(cP('#sk1462', '#_fresh_sk21')))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))))), 87.72/13.21 inference('lazy_cnf_exists', [status(thm)], ['47'])). 87.72/13.21 tff('49', plain, 87.72/13.21 ( cG(cP('#sk1462', '#_fresh_sk21'))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['48'])). 87.72/13.21 tff('50', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 (~ cG(cP(X1, '#_fresh_sk21')) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['23'])). 87.72/13.21 tff('51', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 ( '#form300'(X1) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('52', plain, 87.72/13.21 (![X1 : a]: (~ '#form300'(X1) | ~ cG(cP(X1, '#_fresh_sk21')))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['50', '51'])). 87.72/13.21 tff('53', plain, 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('sat_resolution*', [status(thm)], ['28', '37', '38', '39'])). 87.72/13.21 tff('54', plain, 87.72/13.21 ![X1 : a]: (~ '#form300'(X1) | ~ cG(cP(X1, '#_fresh_sk21'))), 87.72/13.21 inference('simpl_trail', [status(thm)], ['52', '53'])). 87.72/13.21 tff('55', plain, 87.72/13.21 (~ '#form300'('#sk1462')) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))))), 87.72/13.21 inference('sup-', [status(thm)], ['49', '54'])). 87.72/13.21 tff('56', plain, 87.72/13.21 ( (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & 87.72/13.21 Y1('#sk1462')) => 87.72/13.21 (??((^[Y2 : a]: ((cR(Y2) = Y0) & Y1(Y2))))))))) => 87.72/13.21 cX(Y0)))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['48'])). 87.72/13.21 tff('57', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 (~ '#form300'(X1) 87.72/13.21 | (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('58', plain, 87.72/13.21 ( '#form300'('#sk1462')) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21')))))))), 87.72/13.21 inference('renaming', [status(thm)], ['56', '57'])). 87.72/13.21 tff('59', plain, 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21'))))))), 87.72/13.21 inference('demod', [status(thm)], ['55', '58'])). 87.72/13.21 tff('60', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))) | 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: ((cR(Y3) = Y1) & Y2(Y3))))))))) => 87.72/13.21 cX(Y1))))) & 87.72/13.21 cG(cP(Y0, '#_fresh_sk21'))))))), 87.72/13.21 inference('split', [status(esa)], ['43'])). 87.72/13.21 tff('61', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('sat_resolution*', [status(thm)], ['59', '60'])). 87.72/13.21 tff('62', plain, cF(cP('#sk1461', '#_fresh_sk21')), 87.72/13.21 inference('simpl_trail', [status(thm)], ['46', '61'])). 87.72/13.21 tff('63', plain, 87.72/13.21 (![X1 : a]: 87.72/13.21 (~ cF(cP(X1, '#_fresh_sk21')) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0))))))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_or', [status(thm)], ['23'])). 87.72/13.21 tff('64', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 ( '#form300'(X1) 87.72/13.21 | ~ (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & 87.72/13.21 (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('65', plain, 87.72/13.21 (![X1 : a]: (~ '#form300'(X1) | ~ cF(cP(X1, '#_fresh_sk21')))) 87.72/13.21 <= (~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['63', '64'])). 87.72/13.21 tff('66', plain, 87.72/13.21 ~ 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 ((cG(cP(Y0, '#_fresh_sk21')) | cF(cP(Y0, '#_fresh_sk21'))) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 ((Y2(Y0) & 87.72/13.21 (!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3))))))) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('sat_resolution*', [status(thm)], ['28', '37', '38', '39'])). 87.72/13.21 tff('67', plain, 87.72/13.21 ![X1 : a]: (~ '#form300'(X1) | ~ cF(cP(X1, '#_fresh_sk21'))), 87.72/13.21 inference('simpl_trail', [status(thm)], ['65', '66'])). 87.72/13.21 tff('68', plain, ~ '#form300'('#sk1461'), 87.72/13.21 inference('sup-', [status(thm)], ['62', '67'])). 87.72/13.21 tff('69', plain, 87.72/13.21 ( (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 (((!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2)))))) & 87.72/13.21 Y1('#sk1461')) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('lazy_cnf_and', [status(thm)], ['45'])). 87.72/13.21 tff('70', plain, 87.72/13.21 ![X1 : a]: 87.72/13.21 (~ '#form300'(X1) 87.72/13.21 | (!!((^[Y0 : a]: 87.72/13.21 ((!!((^[Y1 : a > $o]: 87.72/13.21 ((Y1(X1) & (!!((^[Y2 : a]: (Y1(Y2) => Y1(cL(Y2))))))) => 87.72/13.21 (??((^[Y2 : a]: (Y1(Y2) & (cR(Y2) = Y0))))))))) => 87.72/13.21 cX(Y0)))))), 87.72/13.21 define([status(thm)])). 87.72/13.21 tff('71', plain, 87.72/13.21 ( '#form300'('#sk1461')) 87.72/13.21 <= (( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1))))))))))), 87.72/13.21 inference('renaming', [status(thm)], ['69', '70'])). 87.72/13.21 tff('72', plain, 87.72/13.21 ( (??((^[Y0 : a]: 87.72/13.21 (cF(cP(Y0, '#_fresh_sk21')) & 87.72/13.21 (!!((^[Y1 : a]: 87.72/13.21 ((!!((^[Y2 : a > $o]: 87.72/13.21 (((!!((^[Y3 : a]: (Y2(Y3) => Y2(cL(Y3)))))) & 87.72/13.21 Y2(Y0)) => 87.72/13.21 (??((^[Y3 : a]: (Y2(Y3) & (cR(Y3) = Y1))))))))) => 87.72/13.21 cX(Y1)))))))))), 87.72/13.21 inference('sat_resolution*', [status(thm)], ['59', '60'])). 87.72/13.21 tff('73', plain, '#form300'('#sk1461'), 87.72/13.21 inference('simpl_trail', [status(thm)], ['71', '72'])). 87.72/13.21 tff('74', plain, $false, inference('demod', [status(thm)], ['68', '73'])). 87.72/13.21 87.72/13.21 % SZS output end Refutation 87.72/13.21 87.72/13.21 87.72/13.21 % Terminating... 88.16/13.33 % Runner terminated. 88.16/13.35 % Zipperpin 1.5 exiting 88.16/13.35 EOF