0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.ccInvYD4BS 0.09/0.30 % Computer : n025.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1200 0.09/0.30 % DateTime : Tue Jul 13 15:58:27 EDT 2021 0.09/0.30 % CPUTime : 0.09/0.30 % Running portfolio for 120 s 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.30 % Number of cores: 8 0.09/0.30 % Python version: Python 3.6.8 0.09/0.30 % Running in HO mode 0.44/0.55 % Estimated wc time : 1286 0.44/0.55 % Estimated cpu time (7 cpus) : 183.71428571428572 0.44/0.65 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.44/0.65 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.44/0.65 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.44/0.66 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.44/0.66 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.44/0.66 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.44/0.66 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 69.30/10.50 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 79.22/11.96 % Solved by lams/old_sp2.sh. 79.22/11.96 % done 226 iterations in 1.429s 79.22/11.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 79.22/11.96 % SZS output start Refutation 79.22/11.96 tff(cTHM535, conjecture, 79.22/11.96 ((![Xs:((((a > $o) > $o) > $o))]: 79.22/11.96 ((![X:(((a > $o) > $o))]: (Xs(X) => (?[Xt:((a > $o))]: X(Xt)))) => 79.22/11.96 (?[Xf:((((a > $o) > $o) * a) > $o)]: 79.22/11.96 (![X:(((a > $o) > $o))]: (Xs(X) => X(Xf(X))))))) => 79.22/11.96 (![A:((((a > $o) > $o) > $o))]: 79.22/11.96 (((?[X:(((a > $o) > $o))]: A(X)) & 79.22/11.96 (![X:(((a > $o) > $o))]: (A(X) => (?[Xu:((a > $o))]: X(Xu))))) => 79.22/11.96 ((^[Xx:a]: 79.22/11.96 (![Xa:(((a > $o) > $o))]: 79.22/11.96 (A(Xa) => (?[Xb:((a > $o))]: (Xb(Xx) & Xa(Xb)))))) = 79.22/11.96 (^[Xx:a]: 79.22/11.96 (?[Xf:((((a > $o) > $o) * a) > $o)]: 79.22/11.96 (![Xa:(((a > $o) > $o))]: (A(Xa) => (Xa(Xf(Xa)) & Xf(Xa,Xx))))))))))). 79.22/11.96 tff(zf_stmt_0, negated_conjecture, 79.22/11.96 (~ 79.22/11.96 ((![Xs:((((a > $o) > $o) > $o))]: 79.22/11.96 ((![X:(((a > $o) > $o))]: (Xs(X) => (?[Xt:((a > $o))]: X(Xt)))) => 79.22/11.96 (?[Xf:((((a > $o) > $o) * a) > $o)]: 79.22/11.96 (![X:(((a > $o) > $o))]: (Xs(X) => X(Xf(X))))))) => 79.22/11.96 (![A:((((a > $o) > $o) > $o))]: 79.22/11.96 (((?[X:(((a > $o) > $o))]: A(X)) & 79.22/11.96 (![X:(((a > $o) > $o))]: (A(X) => (?[Xu:((a > $o))]: X(Xu))))) => 79.22/11.96 ((^[Xx:a]: 79.22/11.96 (![Xa:(((a > $o) > $o))]: 79.22/11.96 (A(Xa) => (?[Xb:((a > $o))]: (Xb(Xx) & Xa(Xb)))))) = 79.22/11.96 (^[Xx:a]: 79.22/11.96 (?[Xf:((((a > $o) > $o) * a) > $o)]: 79.22/11.96 (![Xa:(((a > $o) > $o))]: (A(Xa) => (Xa(Xf(Xa)) & Xf(Xa,Xx)))))))))))). 79.22/11.96 tff('0', plain, 79.22/11.96 ~ ((!!((^[Y0 : ((a > $o) > $o) > $o]: 79.22/11.96 ((!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 (Y0(Y1) => (??((^[Y2 : a > $o]: Y1(Y2)))))))) => 79.22/11.96 (??((^[Y1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: (Y0(Y2) => Y2(Y1(Y2))))))))))))) => 79.22/11.96 (!!((^[Y0 : ((a > $o) > $o) > $o]: 79.22/11.96 (((??((^[Y1 : (a > $o) > $o]: Y0(Y1)))) & 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 (Y0(Y1) => (??((^[Y2 : a > $o]: Y1(Y2))))))))) => 79.22/11.96 ((^[Y1 : a]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: 79.22/11.96 (Y0(Y2) => 79.22/11.96 (??((^[Y3 : a > $o]: (Y3(Y1) & Y2(Y3)))))))))) = 79.22/11.96 (^[Y1 : a]: 79.22/11.96 (??((^[Y2 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y3 : (a > $o) > $o]: 79.22/11.96 (Y0(Y3) => (Y3(Y2(Y3)) & Y2(Y3, Y1)))))))))))))))), 79.22/11.96 inference('cnf', [status(esa)], [zf_stmt_0])). 79.22/11.96 tff('1', plain, 79.22/11.96 ~ ((!!((^[Y0 : ((a > $o) > $o) > $o]: 79.22/11.96 ((!!((^[Y1 : (a > $o) > $o]: (Y0(Y1) => (??(Y1)))))) => 79.22/11.96 (??((^[Y1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: (Y0(Y2) => Y2(Y1(Y2))))))))))))) => 79.22/11.96 (!!((^[Y0 : ((a > $o) > $o) > $o]: 79.22/11.96 (((??(Y0)) & 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: (Y0(Y1) => (??(Y1))))))) => 79.22/11.96 ((^[Y1 : a]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: 79.22/11.96 (Y0(Y2) => 79.22/11.96 (??((^[Y3 : a > $o]: (Y3(Y1) & Y2(Y3)))))))))) = 79.22/11.96 (^[Y1 : a]: 79.22/11.96 (??((^[Y2 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y3 : (a > $o) > $o]: 79.22/11.96 (Y0(Y3) => (Y3(Y2(Y3)) & Y2(Y3, Y1)))))))))))))))), 79.22/11.96 inference('ho_norm', [status(thm)], ['0'])). 79.22/11.96 tff('2', plain, 79.22/11.96 ~ (!!((^[Y0 : ((a > $o) > $o) > $o]: 79.22/11.96 (((??(Y0)) & (!!((^[Y1 : (a > $o) > $o]: (Y0(Y1) => (??(Y1))))))) => 79.22/11.96 ((^[Y1 : a]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: 79.22/11.96 (Y0(Y2) => (??((^[Y3 : a > $o]: (Y3(Y1) & Y2(Y3)))))))))) = 79.22/11.96 (^[Y1 : a]: 79.22/11.96 (??((^[Y2 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y3 : (a > $o) > $o]: 79.22/11.96 (Y0(Y3) => (Y3(Y2(Y3)) & Y2(Y3, Y1))))))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['1'])). 79.22/11.96 tff('3', plain, 79.22/11.96 ~ (((??('#sk1')) & 79.22/11.96 (!!((^[Y0 : (a > $o) > $o]: ('#sk1'(Y0) => (??(Y0))))))) => 79.22/11.96 ((^[Y0 : a]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (??((^[Y2 : a > $o]: (Y2(Y0) & Y1(Y2)))))))))) = 79.22/11.96 (^[Y0 : a]: 79.22/11.96 (??((^[Y1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y2) => (Y2(Y1(Y2)) & Y1(Y2, Y0)))))))))))), 79.22/11.96 inference('lazy_cnf_exists', [status(thm)], ['2'])). 79.22/11.96 tff('4', plain, 79.22/11.96 (^[Y0 : a]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (??((^[Y2 : a > $o]: (Y2(Y0) & Y1(Y2)))))))))) 79.22/11.96 != (^[Y0 : a]: 79.22/11.96 (??((^[Y1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y2) => (Y2(Y1(Y2)) & Y1(Y2, Y0)))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['3'])). 79.22/11.96 tff('5', plain, 79.22/11.96 (^[Y0 : a]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (??((^[Y2 : a > $o]: (Y2(Y0) & Y1(Y2))))))))))( 79.22/11.96 '#_fresh_sk68') 79.22/11.96 != (^[Y0 : a]: 79.22/11.96 (??((^[Y1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y2 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y2) => (Y2(Y1(Y2)) & Y1(Y2, Y0))))))))))( 79.22/11.96 '#_fresh_sk68'), 79.22/11.96 inference('neg_ext', [status(thm)], ['4'])). 79.22/11.96 tff('6', plain, 79.22/11.96 (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))) 79.22/11.96 != (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))), 79.22/11.96 inference('ho_norm', [status(thm)], ['5'])). 79.22/11.96 tff('7', plain, 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))) 79.22/11.96 | (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))), 79.22/11.96 inference('eq_elim', [status(thm)], ['6'])). 79.22/11.96 tff('8', plain, 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) | 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))), 79.22/11.96 inference('split', [status(esa)], ['7'])). 79.22/11.96 tff('9', plain, 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('split', [status(esa)], ['7'])). 79.22/11.96 tff('10', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(X1) => (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & X1(Y0))))))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_forall', [status(thm)], ['9'])). 79.22/11.96 tff('11', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: 79.22/11.96 (~ '#sk1'(X1) | (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & X1(Y0))))))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['10'])). 79.22/11.96 tff('12', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: 79.22/11.96 ( ('#sk223'(X1, '#_fresh_sk68') & X1('#sk223'(X1))) | ~ '#sk1'(X1))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_exists', [status(thm)], ['11'])). 79.22/11.96 tff('13', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: ( '#sk223'(X1, '#_fresh_sk68') | ~ '#sk1'(X1))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_and', [status(thm)], ['12'])). 79.22/11.96 tff('14', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(X1) => (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & X1(Y0))))))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_forall', [status(thm)], ['9'])). 79.22/11.96 tff('15', plain, 79.22/11.96 (![X0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 ('#sk1'('#sk131'(X0)) => 79.22/11.96 (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & '#sk131'(X0, Y0))))))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('triggered_bool_instantiation', [status(thm)], ['14'])). 79.22/11.96 tff('16', plain, 79.22/11.96 (![X0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (~ '#sk1'('#sk131'(X0)) 79.22/11.96 | (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & '#sk131'(X0, Y0))))))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['15'])). 79.22/11.96 tff('17', plain, 79.22/11.96 (![X0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 ( ('#sk223'('#sk131'(X0), '#_fresh_sk68') & 79.22/11.96 '#sk131'(X0, '#sk223'('#sk131'(X0)))) 79.22/11.96 | ~ '#sk1'('#sk131'(X0)))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_exists', [status(thm)], ['16'])). 79.22/11.96 tff('18', plain, 79.22/11.96 (![X0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 ( '#sk131'(X0, '#sk223'('#sk131'(X0))) | ~ '#sk1'('#sk131'(X0)))) 79.22/11.96 <= (( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_and', [status(thm)], ['17'])). 79.22/11.96 tff('19', plain, 79.22/11.96 (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))) 79.22/11.96 != (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))), 79.22/11.96 inference('ho_norm', [status(thm)], ['5'])). 79.22/11.96 tff('20', plain, 79.22/11.96 (~ (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))) 79.22/11.96 | ~ (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))), 79.22/11.96 inference('eq_elim', [status(thm)], ['19'])). 79.22/11.96 tff('21', plain, 79.22/11.96 (~ (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('split', [status(esa)], ['20'])). 79.22/11.96 tff('22', plain, 79.22/11.96 (![X1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 ~ (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => (Y0(X1(Y0)) & X1(Y0, '#_fresh_sk68'))))))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_forall', [status(thm)], ['21'])). 79.22/11.96 tff('23', plain, 79.22/11.96 (![X1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 ~ ('#sk1'('#sk131'(X1)) => 79.22/11.96 ('#sk131'(X1, X1('#sk131'(X1))) & X1('#sk131'(X1), '#_fresh_sk68')))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_exists', [status(thm)], ['22'])). 79.22/11.96 tff('24', plain, 79.22/11.96 (![X1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 ~ ('#sk131'(X1, X1('#sk131'(X1))) & X1('#sk131'(X1), '#_fresh_sk68'))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['23'])). 79.22/11.96 tff('25', plain, 79.22/11.96 (![X1 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (~ '#sk131'(X1, X1('#sk131'(X1))) | ~ X1('#sk131'(X1), '#_fresh_sk68'))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_and', [status(thm)], ['24'])). 79.22/11.96 tff('26', plain, 79.22/11.96 ((~ '#sk1'('#sk131'('#sk223')) 79.22/11.96 | ~ '#sk223'('#sk131'('#sk223'), '#_fresh_sk68'))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))) & 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('sup-', [status(thm)], ['18', '25'])). 79.22/11.96 tff('27', plain, 79.22/11.96 (![X1 : ((a > $o) > $o * a) > $o]: '#sk1'('#sk131'(X1))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['23'])). 79.22/11.96 tff('28', plain, 79.22/11.96 (~ '#sk223'('#sk131'('#sk223'), '#_fresh_sk68')) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))) & 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('demod', [status(thm)], ['26', '27'])). 79.22/11.96 tff('29', plain, 79.22/11.96 (~ '#sk1'('#sk131'('#sk223'))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))) & 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('sup-', [status(thm)], ['13', '28'])). 79.22/11.96 tff('30', plain, 79.22/11.96 (![X1 : ((a > $o) > $o * a) > $o]: '#sk1'('#sk131'(X1))) 79.22/11.96 <= (~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['23'])). 79.22/11.96 tff('31', plain, 79.22/11.96 ~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) | 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))), 79.22/11.96 inference('demod', [status(thm)], ['29', '30'])). 79.22/11.96 tff('32', plain, 79.22/11.96 ~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) | 79.22/11.96 ~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))), 79.22/11.96 inference('split', [status(esa)], ['20'])). 79.22/11.96 tff('33', plain, 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))) 79.22/11.96 <= (( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('split', [status(esa)], ['7'])). 79.22/11.96 tff('34', plain, 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => (Y0('#sk475'(Y0)) & '#sk475'(Y0, '#_fresh_sk68'))))))) 79.22/11.96 <= (( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_exists', [status(thm)], ['33'])). 79.22/11.96 tff('35', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(X1) => (X1('#sk475'(X1)) & '#sk475'(X1, '#_fresh_sk68')))) 79.22/11.96 <= (( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_forall', [status(thm)], ['34'])). 79.22/11.96 tff('36', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: 79.22/11.96 (~ '#sk1'(X1) | (X1('#sk475'(X1)) & '#sk475'(X1, '#_fresh_sk68')))) 79.22/11.96 <= (( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['35'])). 79.22/11.96 tff('37', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: ( X1('#sk475'(X1)) | ~ '#sk1'(X1))) 79.22/11.96 <= (( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_and', [status(thm)], ['36'])). 79.22/11.96 tff('38', plain, 79.22/11.96 (![X1 : (a > $o) > $o]: ( '#sk475'(X1, '#_fresh_sk68') | ~ '#sk1'(X1))) 79.22/11.96 <= (( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('lazy_cnf_and', [status(thm)], ['36'])). 79.22/11.96 tff('39', plain, 79.22/11.96 (~ (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('split', [status(esa)], ['20'])). 79.22/11.96 tff('40', plain, 79.22/11.96 (~ ('#sk1'('#sk123') => 79.22/11.96 (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & '#sk123'(Y0))))))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_exists', [status(thm)], ['39'])). 79.22/11.96 tff('41', plain, 79.22/11.96 (~ (??((^[Y0 : a > $o]: (Y0('#_fresh_sk68') & '#sk123'(Y0)))))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['40'])). 79.22/11.96 tff('42', plain, 79.22/11.96 (![X1 : a > $o]: ~ (X1('#_fresh_sk68') & '#sk123'(X1))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_forall', [status(thm)], ['41'])). 79.22/11.96 tff('43', plain, 79.22/11.96 (![X0 : (a > $o) > $o]: 79.22/11.96 ~ ('#sk475'(X0, '#_fresh_sk68') & '#sk123'('#sk475'(X0)))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('triggered_bool_instantiation', [status(thm)], ['42'])). 79.22/11.96 tff('44', plain, 79.22/11.96 (![X0 : (a > $o) > $o]: 79.22/11.96 (~ '#sk475'(X0, '#_fresh_sk68') | ~ '#sk123'('#sk475'(X0)))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_and', [status(thm)], ['43'])). 79.22/11.96 tff('45', plain, 79.22/11.96 (![X0 : (a > $o) > $o]: (~ '#sk1'(X0) | ~ '#sk123'('#sk475'(X0)))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) & 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('sup-', [status(thm)], ['38', '44'])). 79.22/11.96 tff('46', plain, 79.22/11.96 ((~ '#sk1'('#sk123') | ~ '#sk1'('#sk123'))) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) & 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => 79.22/11.96 (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68'))))))))))), 79.22/11.96 inference('sup-', [status(thm)], ['37', '45'])). 79.22/11.96 tff('47', plain, 79.22/11.96 ( '#sk1'('#sk123')) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['40'])). 79.22/11.96 tff('48', plain, 79.22/11.96 ( '#sk1'('#sk123')) 79.22/11.96 <= (~ 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1))))))))))), 79.22/11.96 inference('lazy_cnf_imply', [status(thm)], ['40'])). 79.22/11.96 tff('49', plain, 79.22/11.96 ( (!!((^[Y0 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y0) => 79.22/11.96 (??((^[Y1 : a > $o]: (Y1('#_fresh_sk68') & Y0(Y1)))))))))) | 79.22/11.96 ~ 79.22/11.96 ( (??((^[Y0 : ((a > $o) > $o * a) > $o]: 79.22/11.96 (!!((^[Y1 : (a > $o) > $o]: 79.22/11.96 ('#sk1'(Y1) => (Y1(Y0(Y1)) & Y0(Y1, '#_fresh_sk68')))))))))), 79.22/11.96 inference('demod', [status(thm)], ['46', '47', '48'])). 79.22/11.96 tff('50', plain, $false, 79.22/11.96 inference('sat_resolution*', [status(thm)], ['8', '31', '32', '49'])). 79.22/11.96 79.22/11.96 % SZS output end Refutation 79.22/11.96 79.22/11.96 79.22/11.96 % Terminating... 79.22/12.02 % Runner terminated. 79.22/12.02 % Zipperpin 1.5 exiting 79.22/12.03 EOF