0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.0mwjRa3q8u 0.15/0.36 % Computer : n004.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 10:50:54 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 120 s 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 % Running in HO mode 0.58/0.68 % Estimated wc time : 1286 0.58/0.68 % Estimated cpu time (7 cpus) : 183.71428571428572 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 0.59/0.98 % Solved by lams/s6.ds.sh. 0.59/0.98 % done 516 iterations in 0.190s 0.59/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.59/0.98 % SZS output start Refutation 0.59/0.98 tff(cTHM409_6, conjecture, 0.59/0.98 (~ 0.59/0.98 (cP_1(b,b) & (![Xx]: cP_1(d,Xx)) & 0.59/0.98 (![Xx,Xy]: ((~cP_1(Xx,Xy)) | cP_1(f(Xx),Xy))) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_1(Xx,Xy,Xz)) | (~cP_1(f(Xx),Xu)) | (~cP_1(f(Xz),Xw)) | 0.59/0.98 cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xy),Xv)))) & 0.59/0.98 cP_2(a,a) & cP_2(b,b) & cP_2(c,c) & (![Xx]: cP_2(d,Xx)) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_2(Xx,Xy,Xz)) | (~cP_2(f(Xz),Xw)) | cQ_3(Xu,Xv,Xw) | 0.59/0.98 (~cP_2(f(Xy),Xv)) | (~cP_2(f(Xx),Xu)))) & 0.59/0.98 cP_3(b,b) & cP_3(c,c) & (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & 0.59/0.98 cP_4(c,c) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_4(Xx,Xy,Xz)) | cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | 0.59/0.98 (~cP_4(f(Xy),Xv)) | (~cP_4(f(Xx),Xu)))) & 0.59/0.98 cP_5(b,b) & (![Xx]: cP_5(d,Xx)) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cP_5(f(Xy),Xv)) | (~cP_5(f(Xz),Xw)) | cQ_6(Xu,Xv,Xw) | 0.59/0.98 (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_6(Xx,Xy,Xz)) | (~cP_6(f(Xx),Xu)) | (~cP_6(f(Xz),Xw)) | 0.59/0.98 cQ_7(Xu,Xv,Xw) | (~cP_6(f(Xy),Xv)))) & 0.59/0.98 (![Xx,Xy,Xz]: (~cQ_7(Xx,Xy,Xz))) & 0.59/0.98 (![Xx,Xy]: ((~cP_6(Xx,Xy)) | cP_6(f(Xx),Xy))) & (![Xx]: cP_6(d,Xx)) & 0.59/0.98 cP_6(c,c) & cP_6(b,b) & cP_6(a,a) & 0.59/0.98 (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & cP_5(c,c) & cP_5(a,a) & 0.59/0.98 (![Xx,Xy]: ((~cP_4(Xx,Xy)) | cP_4(f(Xx),Xy))) & (![Xx]: cP_4(d,Xx)) & 0.59/0.98 cP_4(b,b) & cP_4(a,a) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_3(Xx,Xy,Xz)) | (~cP_3(f(Xx),Xu)) | (~cP_3(f(Xz),Xw)) | 0.59/0.98 cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xy),Xv)))) & 0.59/0.98 (![Xx]: cP_3(d,Xx)) & cP_3(a,a) & 0.59/0.98 (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & cP_1(c,c) & cP_1(a,a) & 0.59/0.98 cQ_1(a,b,c)))). 0.59/0.98 tff(zf_stmt_0, negated_conjecture, 0.59/0.98 (cP_1(b,b) & (![Xx]: cP_1(d,Xx)) & 0.59/0.98 (![Xx,Xy]: ((~cP_1(Xx,Xy)) | cP_1(f(Xx),Xy))) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_1(Xx,Xy,Xz)) | (~cP_1(f(Xx),Xu)) | (~cP_1(f(Xz),Xw)) | 0.59/0.98 cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xy),Xv)))) & 0.59/0.98 cP_2(a,a) & cP_2(b,b) & cP_2(c,c) & (![Xx]: cP_2(d,Xx)) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_2(Xx,Xy,Xz)) | (~cP_2(f(Xz),Xw)) | cQ_3(Xu,Xv,Xw) | 0.59/0.98 (~cP_2(f(Xy),Xv)) | (~cP_2(f(Xx),Xu)))) & 0.59/0.98 cP_3(b,b) & cP_3(c,c) & (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & 0.59/0.98 cP_4(c,c) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_4(Xx,Xy,Xz)) | cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | 0.59/0.98 (~cP_4(f(Xy),Xv)) | (~cP_4(f(Xx),Xu)))) & 0.59/0.98 cP_5(b,b) & (![Xx]: cP_5(d,Xx)) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cP_5(f(Xy),Xv)) | (~cP_5(f(Xz),Xw)) | cQ_6(Xu,Xv,Xw) | 0.59/0.98 (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_6(Xx,Xy,Xz)) | (~cP_6(f(Xx),Xu)) | (~cP_6(f(Xz),Xw)) | 0.59/0.98 cQ_7(Xu,Xv,Xw) | (~cP_6(f(Xy),Xv)))) & 0.59/0.98 (![Xx,Xy,Xz]: (~cQ_7(Xx,Xy,Xz))) & 0.59/0.98 (![Xx,Xy]: ((~cP_6(Xx,Xy)) | cP_6(f(Xx),Xy))) & (![Xx]: cP_6(d,Xx)) & 0.59/0.98 cP_6(c,c) & cP_6(b,b) & cP_6(a,a) & 0.59/0.98 (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & cP_5(c,c) & cP_5(a,a) & 0.59/0.98 (![Xx,Xy]: ((~cP_4(Xx,Xy)) | cP_4(f(Xx),Xy))) & (![Xx]: cP_4(d,Xx)) & 0.59/0.98 cP_4(b,b) & cP_4(a,a) & 0.59/0.98 (![Xx,Xy,Xz,Xu,Xv,Xw]: 0.59/0.98 ((~cQ_3(Xx,Xy,Xz)) | (~cP_3(f(Xx),Xu)) | (~cP_3(f(Xz),Xw)) | 0.59/0.98 cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xy),Xv)))) & 0.59/0.98 (![Xx]: cP_3(d,Xx)) & cP_3(a,a) & 0.59/0.98 (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & cP_1(c,c) & cP_1(a,a) & 0.59/0.98 cQ_1(a,b,c))). 0.59/0.98 tff('0', plain, 0.59/0.98 (cP_1(b, b)&(!!((^[Y0 : $i]: cP_1(d, Y0))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_1(Y0, Y1))) | cP_1(f(Y0), Y1))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_1(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_1(f(Y0), Y3)))| 0.59/0.98 (~(cP_1(f(Y2), Y5)))| 0.59/0.98 cQ_2(Y3, Y4, Y5)| 0.59/0.98 (~(cP_1(f(Y1), Y4))))))))))))))))))))))& 0.59/0.98 cP_2(a, a)&cP_2(b, b)&cP_2(c, c)&(!!((^[Y0 : $i]: cP_2(d, Y0))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_2(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_2(f(Y2), Y5)))| 0.59/0.98 cQ_3(Y3, Y4, Y5)| 0.59/0.98 (~(cP_2(f(Y1), Y4)))| 0.59/0.98 (~(cP_2(f(Y0), Y3))))))))))))))))))))))& 0.59/0.98 cP_3(b, b)&cP_3(c, c)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_3(f(Y0), Y1) | (~(cP_3(Y0, Y1))))))))))& 0.59/0.98 cP_4(c, c)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_4(Y0, Y1, Y2)))| 0.59/0.98 cQ_5(Y3, Y4, Y5)| 0.59/0.98 (~(cP_4(f(Y2), Y5)))| 0.59/0.98 (~(cP_4(f(Y1), Y4)))| 0.59/0.98 (~(cP_4(f(Y0), Y3))))))))))))))))))))))& 0.59/0.98 cP_5(b, b)&(!!((^[Y0 : $i]: cP_5(d, Y0))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cP_5(f(Y1), Y4)))| 0.59/0.98 (~(cP_5(f(Y2), Y5)))| 0.59/0.98 cQ_6(Y3, Y4, Y5)| 0.59/0.98 (~(cP_5(f(Y0), Y3)))| 0.59/0.98 (~(cQ_5(Y0, Y1, Y2))))))))))))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_6(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_6(f(Y0), Y3)))| 0.59/0.98 (~(cP_6(f(Y2), Y5)))| 0.59/0.98 cQ_7(Y3, Y4, Y5)| 0.59/0.98 (~(cP_6(f(Y1), Y4))))))))))))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (!!((^[Y2 : $i]: (~(cQ_7(Y0, Y1, Y2))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_6(Y0, Y1))) | cP_6(f(Y0), Y1))))))))& 0.59/0.98 (!!((^[Y0 : $i]: cP_6(d, Y0))))&cP_6(c, c)&cP_6(b, b)&cP_6(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_5(f(Y0), Y1) | (~(cP_5(Y0, Y1))))))))))& 0.59/0.98 cP_5(c, c)&cP_5(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_4(Y0, Y1))) | cP_4(f(Y0), Y1))))))))& 0.59/0.98 (!!((^[Y0 : $i]: cP_4(d, Y0))))&cP_4(b, b)&cP_4(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_3(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_3(f(Y0), Y3)))| 0.59/0.98 (~(cP_3(f(Y2), Y5)))| 0.59/0.98 cQ_4(Y3, Y4, Y5)| 0.59/0.98 (~(cP_3(f(Y1), Y4))))))))))))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: cP_3(d, Y0))))&cP_3(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_2(f(Y0), Y1) | (~(cP_2(Y0, Y1))))))))))& 0.59/0.98 cP_1(c, c)&cP_1(a, a)&cQ_1(a, b, c)), 0.59/0.98 inference('cnf', [status(esa)], [zf_stmt_0])). 0.59/0.98 tff('1', plain, 0.59/0.98 (cP_1(b, b)&(!!(cP_1(d)))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_1(Y0, Y1))) | cP_1(f(Y0), Y1))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_1(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_1(f(Y0), Y3)))| 0.59/0.98 (~(cP_1(f(Y2), Y5)))| 0.59/0.98 cQ_2(Y3, Y4, Y5)| 0.59/0.98 (~(cP_1(f(Y1), Y4))))))))))))))))))))))& 0.59/0.98 cP_2(a, a)&cP_2(b, b)&cP_2(c, c)&(!!(cP_2(d)))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_2(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_2(f(Y2), Y5)))| 0.59/0.98 cQ_3(Y3, Y4, Y5)| 0.59/0.98 (~(cP_2(f(Y1), Y4)))| 0.59/0.98 (~(cP_2(f(Y0), Y3))))))))))))))))))))))& 0.59/0.98 cP_3(b, b)&cP_3(c, c)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_3(f(Y0), Y1) | (~(cP_3(Y0, Y1))))))))))& 0.59/0.98 cP_4(c, c)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_4(Y0, Y1, Y2)))| 0.59/0.98 cQ_5(Y3, Y4, Y5)| 0.59/0.98 (~(cP_4(f(Y2), Y5)))| 0.59/0.98 (~(cP_4(f(Y1), Y4)))| 0.59/0.98 (~(cP_4(f(Y0), Y3))))))))))))))))))))))& 0.59/0.98 cP_5(b, b)&(!!(cP_5(d)))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cP_5(f(Y1), Y4)))| 0.59/0.98 (~(cP_5(f(Y2), Y5)))| 0.59/0.98 cQ_6(Y3, Y4, Y5)| 0.59/0.98 (~(cP_5(f(Y0), Y3)))| 0.59/0.98 (~(cQ_5(Y0, Y1, Y2))))))))))))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_6(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_6(f(Y0), Y3)))| 0.59/0.98 (~(cP_6(f(Y2), Y5)))| 0.59/0.98 cQ_7(Y3, Y4, Y5)| 0.59/0.98 (~(cP_6(f(Y1), Y4))))))))))))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (!!((^[Y2 : $i]: (~(cQ_7(Y0, Y1, Y2))))))))))))& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_6(Y0, Y1))) | cP_6(f(Y0), Y1))))))))& 0.59/0.98 (!!(cP_6(d)))&cP_6(c, c)&cP_6(b, b)&cP_6(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_5(f(Y0), Y1) | (~(cP_5(Y0, Y1))))))))))& 0.59/0.98 cP_5(c, c)&cP_5(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_4(Y0, Y1))) | cP_4(f(Y0), Y1))))))))& 0.59/0.98 (!!(cP_4(d)))&cP_4(b, b)&cP_4(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_3(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_3(f(Y0), Y3)))| 0.59/0.98 (~(cP_3(f(Y2), Y5)))| 0.59/0.98 cQ_4(Y3, Y4, Y5)| 0.59/0.98 (~(cP_3(f(Y1), Y4))))))))))))))))))))))& 0.59/0.98 (!!(cP_3(d)))&cP_3(a, a)& 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_2(f(Y0), Y1) | (~(cP_2(Y0, Y1))))))))))& 0.59/0.98 cP_1(c, c)&cP_1(a, a)&cQ_1(a, b, c)), 0.59/0.98 inference('ho_norm', [status(thm)], ['0'])). 0.59/0.98 tff('2', plain, cP_6(a, a), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('3', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_6(Y0, Y1))) | cP_6(f(Y0), Y1)))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('4', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: ((~(cP_6(X1, Y0))) | cP_6(f(X1), Y0))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['3'])). 0.59/0.98 tff('5', plain, ![X1, X2]: ((~(cP_6(X1, X2))) | cP_6(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['4'])). 0.59/0.98 tff('6', plain, ![X1, X2]: (~ cP_6(X1, X2) | cP_6(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['5'])). 0.59/0.98 tff('7', plain, cP_6(f(a), a), inference('sup-', [status(thm)], ['2', '6'])). 0.59/0.98 tff('8', plain, cP_6(c, c), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('9', plain, ![X1, X2]: (~ cP_6(X1, X2) | cP_6(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['5'])). 0.59/0.98 tff('10', plain, cP_6(f(c), c), inference('sup-', [status(thm)], ['8', '9'])). 0.59/0.98 tff('11', plain, cP_6(b, b), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('12', plain, ![X1, X2]: (~ cP_6(X1, X2) | cP_6(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['5'])). 0.59/0.98 tff('13', plain, cP_6(f(b), b), 0.59/0.98 inference('sup-', [status(thm)], ['11', '12'])). 0.59/0.98 tff('14', plain, cP_5(a, a), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('15', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_5(f(Y0), Y1) | (~(cP_5(Y0, Y1)))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('16', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: (cP_5(f(X1), Y0) | (~(cP_5(X1, Y0))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['15'])). 0.59/0.98 tff('17', plain, ![X1, X2]: (cP_5(f(X1), X2) | (~(cP_5(X1, X2)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['16'])). 0.59/0.98 tff('18', plain, ![X1, X2]: ( cP_5(f(X1), X2) | ~ cP_5(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['17'])). 0.59/0.98 tff('19', plain, cP_5(f(a), a), 0.59/0.98 inference('sup-', [status(thm)], ['14', '18'])). 0.59/0.98 tff('20', plain, cP_5(c, c), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('21', plain, ![X1, X2]: ( cP_5(f(X1), X2) | ~ cP_5(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['17'])). 0.59/0.98 tff('22', plain, cP_5(f(c), c), 0.59/0.98 inference('sup-', [status(thm)], ['20', '21'])). 0.59/0.98 tff('23', plain, cP_4(b, b), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('24', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_4(Y0, Y1))) | cP_4(f(Y0), Y1)))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('25', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: ((~(cP_4(X1, Y0))) | cP_4(f(X1), Y0))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['24'])). 0.59/0.98 tff('26', plain, ![X1, X2]: ((~(cP_4(X1, X2))) | cP_4(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['25'])). 0.59/0.98 tff('27', plain, ![X1, X2]: (~ cP_4(X1, X2) | cP_4(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['26'])). 0.59/0.98 tff('28', plain, cP_4(f(b), b), 0.59/0.98 inference('sup-', [status(thm)], ['23', '27'])). 0.59/0.98 tff('29', plain, cP_4(c, c), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('30', plain, ![X1, X2]: (~ cP_4(X1, X2) | cP_4(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['26'])). 0.59/0.98 tff('31', plain, cP_4(f(c), c), 0.59/0.98 inference('sup-', [status(thm)], ['29', '30'])). 0.59/0.98 tff('32', plain, cP_4(a, a), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('33', plain, ![X1, X2]: (~ cP_4(X1, X2) | cP_4(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['26'])). 0.59/0.98 tff('34', plain, cP_4(f(a), a), 0.59/0.98 inference('sup-', [status(thm)], ['32', '33'])). 0.59/0.98 tff('35', plain, cP_3(c, c), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('36', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_3(f(Y0), Y1) | (~(cP_3(Y0, Y1)))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('37', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: (cP_3(f(X1), Y0) | (~(cP_3(X1, Y0))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['36'])). 0.59/0.98 tff('38', plain, ![X1, X2]: (cP_3(f(X1), X2) | (~(cP_3(X1, X2)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['37'])). 0.59/0.98 tff('39', plain, ![X1, X2]: ( cP_3(f(X1), X2) | ~ cP_3(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['38'])). 0.59/0.98 tff('40', plain, cP_3(f(c), c), 0.59/0.98 inference('sup-', [status(thm)], ['35', '39'])). 0.59/0.98 tff('41', plain, cP_3(a, a), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('42', plain, ![X1, X2]: ( cP_3(f(X1), X2) | ~ cP_3(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['38'])). 0.59/0.98 tff('43', plain, cP_3(f(a), a), 0.59/0.98 inference('sup-', [status(thm)], ['41', '42'])). 0.59/0.98 tff('44', plain, cP_3(b, b), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('45', plain, ![X1, X2]: ( cP_3(f(X1), X2) | ~ cP_3(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['38'])). 0.59/0.98 tff('46', plain, cP_3(f(b), b), 0.59/0.98 inference('sup-', [status(thm)], ['44', '45'])). 0.59/0.98 tff('47', plain, cP_2(b, b), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('48', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (cP_2(f(Y0), Y1) | (~(cP_2(Y0, Y1)))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('49', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: (cP_2(f(X1), Y0) | (~(cP_2(X1, Y0))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['48'])). 0.59/0.98 tff('50', plain, ![X1, X2]: (cP_2(f(X1), X2) | (~(cP_2(X1, X2)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['49'])). 0.59/0.98 tff('51', plain, ![X1, X2]: ( cP_2(f(X1), X2) | ~ cP_2(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['50'])). 0.59/0.98 tff('52', plain, cP_2(f(b), b), 0.59/0.98 inference('sup-', [status(thm)], ['47', '51'])). 0.59/0.98 tff('53', plain, cP_2(c, c), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('54', plain, ![X1, X2]: ( cP_2(f(X1), X2) | ~ cP_2(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['50'])). 0.59/0.98 tff('55', plain, cP_2(f(c), c), 0.59/0.98 inference('sup-', [status(thm)], ['53', '54'])). 0.59/0.98 tff('56', plain, cP_2(a, a), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('57', plain, ![X1, X2]: ( cP_2(f(X1), X2) | ~ cP_2(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['50'])). 0.59/0.98 tff('58', plain, cP_2(f(a), a), 0.59/0.98 inference('sup-', [status(thm)], ['56', '57'])). 0.59/0.98 tff('59', plain, cP_1(c, c), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('60', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: ((~(cP_1(Y0, Y1))) | cP_1(f(Y0), Y1)))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('61', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: ((~(cP_1(X1, Y0))) | cP_1(f(X1), Y0))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['60'])). 0.59/0.98 tff('62', plain, ![X1, X2]: ((~(cP_1(X1, X2))) | cP_1(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['61'])). 0.59/0.98 tff('63', plain, ![X1, X2]: (~ cP_1(X1, X2) | cP_1(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['62'])). 0.59/0.98 tff('64', plain, cP_1(f(c), c), 0.59/0.98 inference('sup-', [status(thm)], ['59', '63'])). 0.59/0.98 tff('65', plain, cP_1(a, a), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('66', plain, ![X1, X2]: (~ cP_1(X1, X2) | cP_1(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['62'])). 0.59/0.98 tff('67', plain, cP_1(f(a), a), 0.59/0.98 inference('sup-', [status(thm)], ['65', '66'])). 0.59/0.98 tff('68', plain, cP_1(b, b), inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('69', plain, ![X1, X2]: (~ cP_1(X1, X2) | cP_1(f(X1), X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['62'])). 0.59/0.98 tff('70', plain, cP_1(f(b), b), 0.59/0.98 inference('sup-', [status(thm)], ['68', '69'])). 0.59/0.98 tff('71', plain, cQ_1(a, b, c), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('72', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_1(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_1(f(Y0), Y3)))| 0.59/0.98 (~(cP_1(f(Y2), Y5)))| 0.59/0.98 cQ_2(Y3, Y4, Y5)| 0.59/0.98 (~(cP_1(f(Y1), Y4)))))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('73', plain, 0.59/0.98 ![X1]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 ((~(cQ_1(X1, Y0, Y1)))| 0.59/0.98 (~(cP_1(f(X1), Y2)))| 0.59/0.98 (~(cP_1(f(Y1), Y4)))| 0.59/0.98 cQ_2(Y2, Y3, Y4)| 0.59/0.98 (~(cP_1(f(Y0), Y3))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['72'])). 0.59/0.98 tff('74', plain, 0.59/0.98 ![X1, X2]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 ((~(cQ_1(X1, X2, Y0)))| 0.59/0.98 (~(cP_1(f(X1), Y1)))| 0.59/0.98 (~(cP_1(f(Y0), Y3)))|cQ_2(Y1, Y2, Y3)| 0.59/0.98 (~(cP_1(f(X2), Y2)))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['73'])). 0.59/0.98 tff('75', plain, 0.59/0.98 ![X1, X2, X3]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 ((~(cQ_1(X1, X2, X3)))|(~(cP_1(f(X1), Y0)))| 0.59/0.98 (~(cP_1(f(X3), Y2)))|cQ_2(Y0, Y1, Y2)| 0.59/0.98 (~(cP_1(f(X2), Y1))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['74'])). 0.59/0.98 tff('76', plain, 0.59/0.98 ![X1, X2, X3, X4]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 ((~(cQ_1(X1, X2, X3)))|(~(cP_1(f(X1), X4)))| 0.59/0.98 (~(cP_1(f(X3), Y1)))|cQ_2(X4, Y0, Y1)| 0.59/0.98 (~(cP_1(f(X2), Y0)))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['75'])). 0.59/0.98 tff('77', plain, 0.59/0.98 ![X1, X2, X3, X4, X5]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 ((~(cQ_1(X1, X2, X3)))|(~(cP_1(f(X1), X4)))| 0.59/0.98 (~(cP_1(f(X3), Y0)))|cQ_2(X4, X5, Y0)|(~(cP_1(f(X2), X5))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['76'])). 0.59/0.98 tff('78', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 ((~(cQ_1(X1, X2, X3)))|(~(cP_1(f(X1), X4)))|(~(cP_1(f(X3), X6)))| 0.59/0.98 cQ_2(X4, X5, X6)|(~(cP_1(f(X2), X5)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['77'])). 0.59/0.98 tff('79', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 (~ cQ_1(X1, X2, X3) 0.59/0.98 | ~ cP_1(f(X1), X4) 0.59/0.98 | ~ cP_1(f(X3), X6) 0.59/0.98 | cQ_2(X4, X5, X6) 0.59/0.98 | ~ cP_1(f(X2), X5)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['78'])). 0.59/0.98 tff('80', plain, 0.59/0.98 ![X0, X1, X2]: 0.59/0.98 (~ cP_1(f(b), X0) 0.59/0.98 | cQ_2(X2, X0, X1) 0.59/0.98 | ~ cP_1(f(c), X1) 0.59/0.98 | ~ cP_1(f(a), X2)), 0.59/0.98 inference('sup-', [status(thm)], ['71', '79'])). 0.59/0.98 tff('81', plain, 0.59/0.98 ![X0, X1]: (~ cP_1(f(a), X0) | ~ cP_1(f(c), X1) | cQ_2(X0, b, X1)), 0.59/0.98 inference('sup-', [status(thm)], ['70', '80'])). 0.59/0.98 tff('82', plain, ![X0]: ( cQ_2(a, b, X0) | ~ cP_1(f(c), X0)), 0.59/0.98 inference('sup-', [status(thm)], ['67', '81'])). 0.59/0.98 tff('83', plain, cQ_2(a, b, c), 0.59/0.98 inference('sup-', [status(thm)], ['64', '82'])). 0.59/0.98 tff('84', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_2(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_2(f(Y2), Y5)))| 0.59/0.98 cQ_3(Y3, Y4, Y5)| 0.59/0.98 (~(cP_2(f(Y1), Y4)))| 0.59/0.98 (~(cP_2(f(Y0), Y3)))))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('85', plain, 0.59/0.98 ![X1]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 ((~(cQ_2(X1, Y0, Y1)))| 0.59/0.98 (~(cP_2(f(Y1), Y4)))| 0.59/0.98 cQ_3(Y2, Y3, Y4)| 0.59/0.98 (~(cP_2(f(Y0), Y3)))| 0.59/0.98 (~(cP_2(f(X1), Y2))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['84'])). 0.59/0.98 tff('86', plain, 0.59/0.98 ![X1, X2]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 ((~(cQ_2(X1, X2, Y0)))| 0.59/0.98 (~(cP_2(f(Y0), Y3)))|cQ_3(Y1, Y2, Y3)| 0.59/0.98 (~(cP_2(f(X2), Y2)))|(~(cP_2(f(X1), Y1)))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['85'])). 0.59/0.98 tff('87', plain, 0.59/0.98 ![X1, X2, X3]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 ((~(cQ_2(X1, X2, X3)))|(~(cP_2(f(X3), Y2)))| 0.59/0.98 cQ_3(Y0, Y1, Y2)|(~(cP_2(f(X2), Y1)))| 0.59/0.98 (~(cP_2(f(X1), Y0))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['86'])). 0.59/0.98 tff('88', plain, 0.59/0.98 ![X1, X2, X3, X4]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 ((~(cQ_2(X1, X2, X3)))|(~(cP_2(f(X3), Y1)))| 0.59/0.98 cQ_3(X4, Y0, Y1)|(~(cP_2(f(X2), Y0)))| 0.59/0.98 (~(cP_2(f(X1), X4)))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['87'])). 0.59/0.98 tff('89', plain, 0.59/0.98 ![X1, X2, X3, X4, X5]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 ((~(cQ_2(X1, X2, X3)))|(~(cP_2(f(X3), Y0)))|cQ_3(X4, X5, Y0)| 0.59/0.98 (~(cP_2(f(X2), X5)))|(~(cP_2(f(X1), X4))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['88'])). 0.59/0.98 tff('90', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 ((~(cQ_2(X1, X2, X3)))|(~(cP_2(f(X3), X6)))|cQ_3(X4, X5, X6)| 0.59/0.98 (~(cP_2(f(X2), X5)))|(~(cP_2(f(X1), X4)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['89'])). 0.59/0.98 tff('91', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 (~ cQ_2(X1, X2, X3) 0.59/0.98 | ~ cP_2(f(X3), X6) 0.59/0.98 | cQ_3(X4, X5, X6) 0.59/0.98 | ~ cP_2(f(X2), X5) 0.59/0.98 | ~ cP_2(f(X1), X4)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['90'])). 0.59/0.98 tff('92', plain, 0.59/0.98 ![X0, X1, X2]: 0.59/0.98 (~ cP_2(f(a), X0) 0.59/0.98 | ~ cP_2(f(b), X1) 0.59/0.98 | cQ_3(X0, X1, X2) 0.59/0.98 | ~ cP_2(f(c), X2)), 0.59/0.98 inference('sup-', [status(thm)], ['83', '91'])). 0.59/0.98 tff('93', plain, 0.59/0.98 ![X0, X1]: (~ cP_2(f(c), X0) | cQ_3(a, X1, X0) | ~ cP_2(f(b), X1)), 0.59/0.98 inference('sup-', [status(thm)], ['58', '92'])). 0.59/0.98 tff('94', plain, ![X0]: (~ cP_2(f(b), X0) | cQ_3(a, X0, c)), 0.59/0.98 inference('sup-', [status(thm)], ['55', '93'])). 0.59/0.98 tff('95', plain, cQ_3(a, b, c), 0.59/0.98 inference('sup-', [status(thm)], ['52', '94'])). 0.59/0.98 tff('96', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_3(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_3(f(Y0), Y3)))| 0.59/0.98 (~(cP_3(f(Y2), Y5)))| 0.59/0.98 cQ_4(Y3, Y4, Y5)| 0.59/0.98 (~(cP_3(f(Y1), Y4)))))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('97', plain, 0.59/0.98 ![X1]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 ((~(cQ_3(X1, Y0, Y1)))| 0.59/0.98 (~(cP_3(f(X1), Y2)))| 0.59/0.98 (~(cP_3(f(Y1), Y4)))| 0.59/0.98 cQ_4(Y2, Y3, Y4)| 0.59/0.98 (~(cP_3(f(Y0), Y3))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['96'])). 0.59/0.98 tff('98', plain, 0.59/0.98 ![X1, X2]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 ((~(cQ_3(X1, X2, Y0)))| 0.59/0.98 (~(cP_3(f(X1), Y1)))| 0.59/0.98 (~(cP_3(f(Y0), Y3)))|cQ_4(Y1, Y2, Y3)| 0.59/0.98 (~(cP_3(f(X2), Y2)))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['97'])). 0.59/0.98 tff('99', plain, 0.59/0.98 ![X1, X2, X3]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 ((~(cQ_3(X1, X2, X3)))|(~(cP_3(f(X1), Y0)))| 0.59/0.98 (~(cP_3(f(X3), Y2)))|cQ_4(Y0, Y1, Y2)| 0.59/0.98 (~(cP_3(f(X2), Y1))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['98'])). 0.59/0.98 tff('100', plain, 0.59/0.98 ![X1, X2, X3, X4]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 ((~(cQ_3(X1, X2, X3)))|(~(cP_3(f(X1), X4)))| 0.59/0.98 (~(cP_3(f(X3), Y1)))|cQ_4(X4, Y0, Y1)| 0.59/0.98 (~(cP_3(f(X2), Y0)))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['99'])). 0.59/0.98 tff('101', plain, 0.59/0.98 ![X1, X2, X3, X4, X5]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 ((~(cQ_3(X1, X2, X3)))|(~(cP_3(f(X1), X4)))| 0.59/0.98 (~(cP_3(f(X3), Y0)))|cQ_4(X4, X5, Y0)|(~(cP_3(f(X2), X5))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['100'])). 0.59/0.98 tff('102', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 ((~(cQ_3(X1, X2, X3)))|(~(cP_3(f(X1), X4)))|(~(cP_3(f(X3), X6)))| 0.59/0.98 cQ_4(X4, X5, X6)|(~(cP_3(f(X2), X5)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['101'])). 0.59/0.98 tff('103', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 (~ cQ_3(X1, X2, X3) 0.59/0.98 | ~ cP_3(f(X1), X4) 0.59/0.98 | ~ cP_3(f(X3), X6) 0.59/0.98 | cQ_4(X4, X5, X6) 0.59/0.98 | ~ cP_3(f(X2), X5)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['102'])). 0.59/0.98 tff('104', plain, 0.59/0.98 ![X0, X1, X2]: 0.59/0.98 (~ cP_3(f(b), X0) 0.59/0.98 | cQ_4(X2, X0, X1) 0.59/0.98 | ~ cP_3(f(c), X1) 0.59/0.98 | ~ cP_3(f(a), X2)), 0.59/0.98 inference('sup-', [status(thm)], ['95', '103'])). 0.59/0.98 tff('105', plain, 0.59/0.98 ![X0, X1]: (~ cP_3(f(a), X0) | ~ cP_3(f(c), X1) | cQ_4(X0, b, X1)), 0.59/0.98 inference('sup-', [status(thm)], ['46', '104'])). 0.59/0.98 tff('106', plain, ![X0]: ( cQ_4(a, b, X0) | ~ cP_3(f(c), X0)), 0.59/0.98 inference('sup-', [status(thm)], ['43', '105'])). 0.59/0.98 tff('107', plain, cQ_4(a, b, c), 0.59/0.98 inference('sup-', [status(thm)], ['40', '106'])). 0.59/0.98 tff('108', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_4(Y0, Y1, Y2)))| 0.59/0.98 cQ_5(Y3, Y4, Y5)| 0.59/0.98 (~(cP_4(f(Y2), Y5)))| 0.59/0.98 (~(cP_4(f(Y1), Y4)))| 0.59/0.98 (~(cP_4(f(Y0), Y3)))))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('109', plain, 0.59/0.98 ![X1]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 ((~(cQ_4(X1, Y0, Y1)))| 0.59/0.98 cQ_5(Y2, Y3, Y4)| 0.59/0.98 (~(cP_4(f(Y1), Y4)))| 0.59/0.98 (~(cP_4(f(Y0), Y3)))| 0.59/0.98 (~(cP_4(f(X1), Y2))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['108'])). 0.59/0.98 tff('110', plain, 0.59/0.98 ![X1, X2]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 ((~(cQ_4(X1, X2, Y0)))|cQ_5(Y1, Y2, Y3)| 0.59/0.98 (~(cP_4(f(Y0), Y3)))| 0.59/0.98 (~(cP_4(f(X2), Y2)))|(~(cP_4(f(X1), Y1)))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['109'])). 0.59/0.98 tff('111', plain, 0.59/0.98 ![X1, X2, X3]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 ((~(cQ_4(X1, X2, X3)))|cQ_5(Y0, Y1, Y2)| 0.59/0.98 (~(cP_4(f(X3), Y2)))|(~(cP_4(f(X2), Y1)))| 0.59/0.98 (~(cP_4(f(X1), Y0))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['110'])). 0.59/0.98 tff('112', plain, 0.59/0.98 ![X1, X2, X3, X4]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 ((~(cQ_4(X1, X2, X3)))|cQ_5(X4, Y0, Y1)| 0.59/0.98 (~(cP_4(f(X3), Y1)))|(~(cP_4(f(X2), Y0)))| 0.59/0.98 (~(cP_4(f(X1), X4)))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['111'])). 0.59/0.98 tff('113', plain, 0.59/0.98 ![X1, X2, X3, X4, X5]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 ((~(cQ_4(X1, X2, X3)))|cQ_5(X4, X5, Y0)|(~(cP_4(f(X3), Y0)))| 0.59/0.98 (~(cP_4(f(X2), X5)))|(~(cP_4(f(X1), X4))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['112'])). 0.59/0.98 tff('114', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 ((~(cQ_4(X1, X2, X3)))|cQ_5(X4, X5, X6)|(~(cP_4(f(X3), X6)))| 0.59/0.98 (~(cP_4(f(X2), X5)))|(~(cP_4(f(X1), X4)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['113'])). 0.59/0.98 tff('115', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 (~ cQ_4(X1, X2, X3) 0.59/0.98 | cQ_5(X4, X5, X6) 0.59/0.98 | ~ cP_4(f(X3), X6) 0.59/0.98 | ~ cP_4(f(X2), X5) 0.59/0.98 | ~ cP_4(f(X1), X4)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['114'])). 0.59/0.98 tff('116', plain, 0.59/0.98 ![X0, X1, X2]: 0.59/0.98 (~ cP_4(f(a), X0) 0.59/0.98 | ~ cP_4(f(b), X1) 0.59/0.98 | ~ cP_4(f(c), X2) 0.59/0.98 | cQ_5(X0, X1, X2)), 0.59/0.98 inference('sup-', [status(thm)], ['107', '115'])). 0.59/0.98 tff('117', plain, 0.59/0.98 ![X0, X1]: ( cQ_5(a, X1, X0) | ~ cP_4(f(c), X0) | ~ cP_4(f(b), X1)), 0.59/0.98 inference('sup-', [status(thm)], ['34', '116'])). 0.59/0.98 tff('118', plain, ![X0]: (~ cP_4(f(b), X0) | cQ_5(a, X0, c)), 0.59/0.98 inference('sup-', [status(thm)], ['31', '117'])). 0.59/0.98 tff('119', plain, cQ_5(a, b, c), 0.59/0.98 inference('sup-', [status(thm)], ['28', '118'])). 0.59/0.98 tff('120', plain, cP_5(b, b), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('121', plain, ![X1, X2]: ( cP_5(f(X1), X2) | ~ cP_5(X1, X2)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['17'])). 0.59/0.98 tff('122', plain, cP_5(f(b), b), 0.59/0.98 inference('sup-', [status(thm)], ['120', '121'])). 0.59/0.98 tff('123', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cP_5(f(Y1), Y4)))| 0.59/0.98 (~(cP_5(f(Y2), Y5)))| 0.59/0.98 cQ_6(Y3, Y4, Y5)| 0.59/0.98 (~(cP_5(f(Y0), Y3)))| 0.59/0.98 (~(cQ_5(Y0, Y1, Y2)))))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('124', plain, 0.59/0.98 ![X1]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 ((~(cP_5(f(Y0), Y3)))| 0.59/0.98 (~(cP_5(f(Y1), Y4)))| 0.59/0.98 cQ_6(Y2, Y3, Y4)| 0.59/0.98 (~(cP_5(f(X1), Y2)))| 0.59/0.98 (~(cQ_5(X1, Y0, Y1))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['123'])). 0.59/0.98 tff('125', plain, 0.59/0.98 ![X1, X2]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 ((~(cP_5(f(X2), Y2)))| 0.59/0.98 (~(cP_5(f(Y0), Y3)))|cQ_6(Y1, Y2, Y3)| 0.59/0.98 (~(cP_5(f(X1), Y1)))| 0.59/0.98 (~(cQ_5(X1, X2, Y0)))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['124'])). 0.59/0.98 tff('126', plain, 0.59/0.98 ![X1, X2, X3]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 ((~(cP_5(f(X2), Y1)))|(~(cP_5(f(X3), Y2)))| 0.59/0.98 cQ_6(Y0, Y1, Y2)|(~(cP_5(f(X1), Y0)))| 0.59/0.98 (~(cQ_5(X1, X2, X3))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['125'])). 0.59/0.98 tff('127', plain, 0.59/0.98 ![X1, X2, X3, X4]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 ((~(cP_5(f(X2), Y0)))|(~(cP_5(f(X3), Y1)))| 0.59/0.98 cQ_6(X4, Y0, Y1)|(~(cP_5(f(X1), X4)))| 0.59/0.98 (~(cQ_5(X1, X2, X3)))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['126'])). 0.59/0.98 tff('128', plain, 0.59/0.98 ![X1, X2, X3, X4, X5]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 ((~(cP_5(f(X2), X5)))|(~(cP_5(f(X3), Y0)))|cQ_6(X4, X5, Y0)| 0.59/0.98 (~(cP_5(f(X1), X4)))|(~(cQ_5(X1, X2, X3))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['127'])). 0.59/0.98 tff('129', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 ((~(cP_5(f(X2), X5)))|(~(cP_5(f(X3), X6)))|cQ_6(X4, X5, X6)| 0.59/0.98 (~(cP_5(f(X1), X4)))|(~(cQ_5(X1, X2, X3)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['128'])). 0.59/0.98 tff('130', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 (~ cP_5(f(X2), X5) 0.59/0.98 | ~ cP_5(f(X3), X6) 0.59/0.98 | cQ_6(X4, X5, X6) 0.59/0.98 | ~ cP_5(f(X1), X4) 0.59/0.98 | ~ cQ_5(X1, X2, X3)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['129'])). 0.59/0.98 tff('131', plain, 0.59/0.98 ![X0, X1, X2, X3]: 0.59/0.98 (~ cQ_5(X1, b, X0) 0.59/0.98 | ~ cP_5(f(X1), X2) 0.59/0.98 | cQ_6(X2, b, X3) 0.59/0.98 | ~ cP_5(f(X0), X3)), 0.59/0.98 inference('sup-', [status(thm)], ['122', '130'])). 0.59/0.98 tff('132', plain, 0.59/0.98 ![X0, X1]: (~ cP_5(f(c), X0) | cQ_6(X1, b, X0) | ~ cP_5(f(a), X1)), 0.59/0.98 inference('sup-', [status(thm)], ['119', '131'])). 0.59/0.98 tff('133', plain, ![X0]: (~ cP_5(f(a), X0) | cQ_6(X0, b, c)), 0.59/0.98 inference('sup-', [status(thm)], ['22', '132'])). 0.59/0.98 tff('134', plain, cQ_6(a, b, c), 0.59/0.98 inference('sup-', [status(thm)], ['19', '133'])). 0.59/0.98 tff('135', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 (!!((^[Y5 : $i]: 0.59/0.98 ((~(cQ_6(Y0, Y1, Y2)))| 0.59/0.98 (~(cP_6(f(Y0), Y3)))| 0.59/0.98 (~(cP_6(f(Y2), Y5)))| 0.59/0.98 cQ_7(Y3, Y4, Y5)| 0.59/0.98 (~(cP_6(f(Y1), Y4)))))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('136', plain, 0.59/0.98 ![X1]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 (!!((^[Y4 : $i]: 0.59/0.98 ((~(cQ_6(X1, Y0, Y1)))| 0.59/0.98 (~(cP_6(f(X1), Y2)))| 0.59/0.98 (~(cP_6(f(Y1), Y4)))| 0.59/0.98 cQ_7(Y2, Y3, Y4)| 0.59/0.98 (~(cP_6(f(Y0), Y3))))))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['135'])). 0.59/0.98 tff('137', plain, 0.59/0.98 ![X1, X2]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 (!!((^[Y3 : $i]: 0.59/0.98 ((~(cQ_6(X1, X2, Y0)))| 0.59/0.98 (~(cP_6(f(X1), Y1)))| 0.59/0.98 (~(cP_6(f(Y0), Y3)))|cQ_7(Y1, Y2, Y3)| 0.59/0.98 (~(cP_6(f(X2), Y2)))))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['136'])). 0.59/0.98 tff('138', plain, 0.59/0.98 ![X1, X2, X3]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 (!!((^[Y2 : $i]: 0.59/0.98 ((~(cQ_6(X1, X2, X3)))|(~(cP_6(f(X1), Y0)))| 0.59/0.98 (~(cP_6(f(X3), Y2)))|cQ_7(Y0, Y1, Y2)| 0.59/0.98 (~(cP_6(f(X2), Y1))))))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['137'])). 0.59/0.98 tff('139', plain, 0.59/0.98 ![X1, X2, X3, X4]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: 0.59/0.98 ((~(cQ_6(X1, X2, X3)))|(~(cP_6(f(X1), X4)))| 0.59/0.98 (~(cP_6(f(X3), Y1)))|cQ_7(X4, Y0, Y1)| 0.59/0.98 (~(cP_6(f(X2), Y0)))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['138'])). 0.59/0.98 tff('140', plain, 0.59/0.98 ![X1, X2, X3, X4, X5]: 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 ((~(cQ_6(X1, X2, X3)))|(~(cP_6(f(X1), X4)))| 0.59/0.98 (~(cP_6(f(X3), Y0)))|cQ_7(X4, X5, Y0)|(~(cP_6(f(X2), X5))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['139'])). 0.59/0.98 tff('141', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 ((~(cQ_6(X1, X2, X3)))|(~(cP_6(f(X1), X4)))|(~(cP_6(f(X3), X6)))| 0.59/0.98 cQ_7(X4, X5, X6)|(~(cP_6(f(X2), X5)))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['140'])). 0.59/0.98 tff('142', plain, 0.59/0.98 ![X1, X2, X3, X4, X5, X6]: 0.59/0.98 (~ cQ_6(X1, X2, X3) 0.59/0.98 | ~ cP_6(f(X1), X4) 0.59/0.98 | ~ cP_6(f(X3), X6) 0.59/0.98 | cQ_7(X4, X5, X6) 0.59/0.98 | ~ cP_6(f(X2), X5)), 0.59/0.98 inference('lazy_cnf_or', [status(thm)], ['141'])). 0.59/0.98 tff('143', plain, 0.59/0.98 ![X0, X1, X2]: 0.59/0.98 (~ cP_6(f(b), X0) 0.59/0.98 | cQ_7(X2, X0, X1) 0.59/0.98 | ~ cP_6(f(c), X1) 0.59/0.98 | ~ cP_6(f(a), X2)), 0.59/0.98 inference('sup-', [status(thm)], ['134', '142'])). 0.59/0.98 tff('144', plain, 0.59/0.98 ![X0, X1]: (~ cP_6(f(a), X0) | ~ cP_6(f(c), X1) | cQ_7(X0, b, X1)), 0.59/0.98 inference('sup-', [status(thm)], ['13', '143'])). 0.59/0.98 tff('145', plain, 0.59/0.98 (!!((^[Y0 : $i]: 0.59/0.98 (!!((^[Y1 : $i]: (!!((^[Y2 : $i]: (~(cQ_7(Y0, Y1, Y2)))))))))))), 0.59/0.98 inference('lazy_cnf_and', [status(thm)], ['1'])). 0.59/0.98 tff('146', plain, 0.59/0.98 ![X1]: (!!((^[Y0 : $i]: (!!((^[Y1 : $i]: (~(cQ_7(X1, Y0, Y1))))))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['145'])). 0.59/0.98 tff('147', plain, ![X1, X2]: (!!((^[Y0 : $i]: (~(cQ_7(X1, X2, Y0)))))), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['146'])). 0.59/0.98 tff('148', plain, ![X1, X2, X3]: ~ cQ_7(X1, X2, X3), 0.59/0.98 inference('lazy_cnf_forall', [status(thm)], ['147'])). 0.59/0.98 tff('149', plain, ![X0, X1]: (~ cP_6(f(c), X1) | ~ cP_6(f(a), X0)), 0.59/0.99 inference('clc', [status(thm)], ['144', '148'])). 0.59/0.99 tff('150', plain, ![X0]: ~ cP_6(f(a), X0), 0.59/0.99 inference('sup-', [status(thm)], ['10', '149'])). 0.59/0.99 tff('151', plain, $false, inference('sup-', [status(thm)], ['7', '150'])). 0.59/0.99 0.59/0.99 % SZS output end Refutation 0.59/0.99 0.59/0.99 0.59/0.99 % Terminating... 3.16/1.10 % Runner terminated. 3.16/1.10 % Zipperpin 1.5 exiting 3.16/1.11 EOF