0.01/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.NIr04CrDgd 0.14/0.36 % Computer : n013.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % DateTime : Tue Jul 13 14:10:03 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.37 % Running in HO mode 0.55/0.66 % Estimated wc time : 1286 0.55/0.66 % Estimated cpu time (7 cpus) : 183.71428571428572 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 5.56/1.48 % Solved by lams/old_b3.avatar.sh. 5.56/1.48 % done 91 iterations in 0.662s 5.56/1.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 5.56/1.48 % SZS output start Refutation 5.56/1.48 tff(thm_2Epred__set_2ESUBSET__DEF, axiom, 5.56/1.48 (![A_27a:d,V0s_2E0:u,V1t_2E0:u]: 5.56/1.48 ((![V2x_2E0:u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V1t_2E0)))))) <=> 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V1t_2E0))))))). 5.56/1.48 tff('0', plain, 5.56/1.48 (!!((^[Y0 : d]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 (!!((^[Y2 : u]: 5.56/1.48 ((!!((^[Y3 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(Y0, Y3), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(Y0, 5.56/1.48 tyop_2Emin_2Ebool), Y1)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(Y0, Y3), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(Y0, 5.56/1.48 tyop_2Emin_2Ebool), Y2)))))))) <=> 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), 5.56/1.48 Y1), 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), 5.56/1.48 Y2)))))))))))))), 5.56/1.48 inference('cnf', [status(esa)], [thm_2Epred__set_2ESUBSET__DEF])). 5.56/1.48 tff('1', plain, 5.56/1.48 ![X1 : d]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 ((!!((^[Y2 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y2), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 Y0)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y2), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 Y1)))))))) <=> 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y1))))))))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['0'])). 5.56/1.48 tff('2', plain, 5.56/1.48 ![X1 : d, X2 : u]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 ((!!((^[Y1 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y1), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y1), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y0)))))))) <=> 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y0)))))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['1'])). 5.56/1.48 tff('3', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u]: 5.56/1.48 ((!!((^[Y0 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3)))))))) <=> 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['2'])). 5.56/1.48 tff('4', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3)))))))) 5.56/1.48 = j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3)))), 5.56/1.48 inference('simplify nested equalities', [status(thm)], ['3'])). 5.56/1.48 tff('5', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u]: 5.56/1.48 (~ (!!((^[Y0 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3)))))))) 5.56/1.48 | j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3))))), 5.56/1.48 inference('lazy_cnf_equiv', [status(thm)], ['4'])). 5.56/1.48 tff('6', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u]: 5.56/1.48 (~ (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, '#sk3'(X1, X2, X3)), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, '#sk3'(X1, X2, X3)), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3))))) 5.56/1.48 | j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X3))))), 5.56/1.48 inference('lazy_cnf_exists', [status(thm)], ['5'])). 5.56/1.48 tff(thm_2Epred__set_2EREST__SUBSET, conjecture, 5.56/1.48 (![A_27a:d,V0s_2E0:u]: 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0))), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0)))))). 5.56/1.48 tff(zf_stmt_0, negated_conjecture, 5.56/1.48 (~ 5.56/1.48 (![A_27a:d,V0s_2E0:u]: 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0))), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0))))))). 5.56/1.48 tff('7', plain, 5.56/1.48 ~ (!!((^[Y0 : d]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), Y1))), 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), Y1)))))))))), 5.56/1.48 inference('cnf', [status(esa)], [zf_stmt_0])). 5.56/1.48 tff('8', plain, 5.56/1.48 ~ (!!((^[Y0 : u]: 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), Y0))), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), Y0))))))), 5.56/1.48 inference('lazy_cnf_exists', [status(thm)], ['7'])). 5.56/1.48 tff('9', plain, 5.56/1.48 ~ j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Epred__set_2ESUBSET_2E2( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2'))), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')))), 5.56/1.48 inference('lazy_cnf_exists', [status(thm)], ['8'])). 5.56/1.48 tff('10', plain, 5.56/1.48 ~ (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2( 5.56/1.48 s('#sk1', 5.56/1.48 '#sk3'('#sk1', 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), 5.56/1.48 '#sk2')), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')))))) => 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2( 5.56/1.48 s('#sk1', 5.56/1.48 '#sk3'('#sk1', 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), 5.56/1.48 '#sk2')), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2'))))), 5.56/1.48 inference('sup-', [status(thm)], ['6', '9'])). 5.56/1.48 tff('11', plain, 5.56/1.48 ~ j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2( 5.56/1.48 s('#sk1', 5.56/1.48 '#sk3'('#sk1', 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), 5.56/1.48 '#sk2')), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')))), 5.56/1.48 inference('lazy_cnf_imply', [status(thm)], ['10'])). 5.56/1.48 tff(thm_2Epred__set_2EREST__DEF, axiom, 5.56/1.48 (![A_27a:d,V0s_2E0:u]: 5.56/1.48 (s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0))) = 5.56/1.48 s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0), 5.56/1.48 s(A_27a, 5.56/1.48 c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0)))))))). 5.56/1.48 tff('12', plain, 5.56/1.48 (!!((^[Y0 : d]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 (s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), Y1))) = 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), Y1), 5.56/1.48 s(Y0, 5.56/1.48 c_2Epred__set_2ECHOICE_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(Y0, tyop_2Emin_2Ebool), Y1)))))))))))), 5.56/1.48 inference('cnf', [status(esa)], [thm_2Epred__set_2EREST__DEF])). 5.56/1.48 tff('13', plain, 5.56/1.48 ![X1 : d]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 (s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y0))) = 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y0), 5.56/1.48 s(X1, 5.56/1.48 c_2Epred__set_2ECHOICE_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), Y0))))))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['12'])). 5.56/1.48 tff('14', plain, 5.56/1.48 ![X1 : d, X2 : u]: 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2))) 5.56/1.48 = s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(X1, 5.56/1.48 c_2Epred__set_2ECHOICE_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['13'])). 5.56/1.48 tff(thm_2Epred__set_2EIN__DELETE, axiom, 5.56/1.48 (![A_27a:d,V0s_2E0:u,V1x_2E0:u,V2y_2E0:u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(A_27a,V1x_2E0), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0), 5.56/1.48 s(A_27a,V2y_2E0)))))) <=> 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(A_27a,V1x_2E0), 5.56/1.48 s(tyop_2Emin_2Efun( 5.56/1.48 A_27a, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 V0s_2E0)))) & 5.56/1.48 (s(A_27a,V1x_2E0) != s(A_27a,V2y_2E0)))))). 5.56/1.48 tff('15', plain, 5.56/1.48 (!!((^[Y0 : d]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 (!!((^[Y2 : u]: 5.56/1.48 (!!((^[Y3 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(Y0, Y2), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(Y0, 5.56/1.48 tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(Y0, 5.56/1.48 tyop_2Emin_2Ebool), Y1), 5.56/1.48 s(Y0, Y3)))))) <=> 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(Y0, Y2), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(Y0, 5.56/1.48 tyop_2Emin_2Ebool), Y1)))) & 5.56/1.48 (s(Y0, Y2) != s(Y0, Y3)))))))))))))))), 5.56/1.48 inference('cnf', [status(esa)], [thm_2Epred__set_2EIN__DELETE])). 5.56/1.48 tff('16', plain, 5.56/1.48 ![X1 : d]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 (!!((^[Y2 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y1), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(X1, 5.56/1.48 tyop_2Emin_2Ebool), Y0), 5.56/1.48 s(X1, Y2)))))) <=> 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y1), 5.56/1.48 s( 5.56/1.48 tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 Y0)))) & 5.56/1.48 (s(X1, Y1) != s(X1, Y2))))))))))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['15'])). 5.56/1.48 tff('17', plain, 5.56/1.48 ![X1 : d, X2 : u]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 (!!((^[Y1 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 X2), s(X1, Y1)))))) <=> 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, Y0), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) & 5.56/1.48 (s(X1, Y0) != s(X1, Y1)))))))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['16'])). 5.56/1.48 tff('18', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u]: 5.56/1.48 (!!((^[Y0 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X3), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), 5.56/1.48 s(X1, Y0)))))) <=> 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X3), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) & 5.56/1.48 (s(X1, X3) != s(X1, Y0))))))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['17'])). 5.56/1.48 tff('19', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u, X4 : u]: 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X3), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), s(X1, X4)))))) <=> 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X3), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) & 5.56/1.48 (s(X1, X3) != s(X1, X4)))), 5.56/1.48 inference('lazy_cnf_forall', [status(thm)], ['18'])). 5.56/1.48 tff('20', plain, 5.56/1.48 ![X1 : d, X2 : u, X3 : u, X4 : u]: 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X3), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EDELETE_2E2( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2), s(X1, X4)))))) 5.56/1.48 = (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X3), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X2)))) & 5.56/1.48 (s(X1, X3) != s(X1, X4))), 5.56/1.48 inference('simplify nested equalities', [status(thm)], ['19'])). 5.56/1.48 tff('21', plain, 5.56/1.48 ![X0 : u, X1 : d, X2 : u]: 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X0)))))) 5.56/1.48 = (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2(s(X1, X2), 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X0)))) & 5.56/1.48 (s(X1, X2) != 5.56/1.48 s(X1, 5.56/1.48 c_2Epred__set_2ECHOICE_2E1( 5.56/1.48 s(tyop_2Emin_2Efun(X1, tyop_2Emin_2Ebool), X0))))), 5.56/1.48 inference('sup+', [status(thm)], ['14', '20'])). 5.56/1.48 tff('22', plain, 5.56/1.48 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2( 5.56/1.48 s('#sk1', 5.56/1.48 '#sk3'('#sk1', 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), 5.56/1.48 '#sk2')), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')))))), 5.56/1.48 inference('lazy_cnf_imply', [status(thm)], ['10'])). 5.56/1.48 tff('23', plain, 5.56/1.48 (j_mono_2Etyop_2Emin_2Ebool( 5.56/1.48 s(tyop_2Emin_2Ebool, 5.56/1.48 c_2Ebool_2EIN_2E2( 5.56/1.48 s('#sk1', 5.56/1.48 '#sk3'('#sk1', 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), 5.56/1.48 '#sk2')), 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')))) & 5.56/1.48 (s('#sk1', 5.56/1.48 '#sk3'('#sk1', 5.56/1.48 c_2Epred__set_2EREST_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), '#sk2')) != 5.56/1.48 s('#sk1', 5.56/1.48 c_2Epred__set_2ECHOICE_2E1( 5.56/1.48 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2'))))), 5.56/1.49 inference('sup+', [status(thm)], ['21', '22'])). 5.56/1.49 tff('24', plain, 5.56/1.49 j_mono_2Etyop_2Emin_2Ebool( 5.56/1.49 s(tyop_2Emin_2Ebool, 5.56/1.49 c_2Ebool_2EIN_2E2( 5.56/1.49 s('#sk1', 5.56/1.49 '#sk3'('#sk1', 5.56/1.49 c_2Epred__set_2EREST_2E1( 5.56/1.49 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')), 5.56/1.49 '#sk2')), 5.56/1.49 s(tyop_2Emin_2Efun('#sk1', tyop_2Emin_2Ebool), '#sk2')))), 5.56/1.49 inference('lazy_cnf_and', [status(thm)], ['23'])). 5.56/1.49 tff('25', plain, $false, inference('demod', [status(thm)], ['11', '24'])). 5.56/1.49 5.56/1.49 % SZS output end Refutation 5.56/1.49 5.56/1.49 5.56/1.49 % Terminating... 6.25/1.60 % Runner terminated. 6.25/1.62 % Zipperpin 1.5 exiting 6.25/1.62 EOF