0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SrTQEQGvXN true 0.13/0.33 % Computer : n020.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Wed Jul 30 03:13:04 EDT 2025 0.13/0.33 % CPUTime : 0.13/0.33 % Running portfolio for 1920 s 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.46/0.62 % Total configuration time : 828 0.46/0.62 % Estimated wc time : 1656 0.46/0.62 % Estimated cpu time (8 cpus) : 207.0 0.53/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 83.79/11.15 % Solved by lams/20_acsne_simpl.sh. 83.79/11.15 % done 963 iterations in 10.359s 83.79/11.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 83.79/11.15 % SZS output start Refutation 83.79/11.15 thf(a_type, type, a: $tType). 83.79/11.15 thf('#l_lift24572_type', type, '#l_lift24572': (a > a) > a > $o). 83.79/11.15 thf('#sk18_type', type, '#sk18': (a > $o) > a > a). 83.79/11.15 thf('#sk2_type', type, '#sk2': (a > $o) > a). 83.79/11.15 thf('#sk1_type', type, '#sk1': a > a > $o). 83.79/11.15 thf('#sk3_type', type, '#sk3': a > a). 83.79/11.15 thf(cT145_DOUBLE, conjecture, 83.79/11.15 (![R:( a > a > $o ),U:( ( a > $o ) > a )]: 83.79/11.15 ( ( ![Xf:( a > a )]: 83.79/11.15 ( ( ?[Xx:a,Xy:a]: 83.79/11.15 ( ( ( R @ Xx @ Xy ) | ( R @ Xx @ Xy ) ) & 83.79/11.15 ( ( ~( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) | 83.79/11.15 ( ~( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) ) ) | 83.79/11.15 ( ?[Xw:a]: 83.79/11.15 ( ( ( R @ ( Xf @ Xw ) @ Xw ) | ( R @ ( Xf @ Xw ) @ Xw ) ) & 83.79/11.15 ( ( R @ Xw @ ( Xf @ Xw ) ) | ( R @ Xw @ ( Xf @ Xw ) ) ) ) ) ) ) | 83.79/11.15 ( ?[Xs:( a > $o )]: 83.79/11.15 ( ( ?[Xz:a]: 83.79/11.15 ( ( ( ~( R @ Xz @ ( U @ Xs ) ) ) | ( ~( R @ Xz @ ( U @ Xs ) ) ) ) & 83.79/11.15 ( ( Xs @ Xz ) | ( Xs @ Xz ) ) ) ) | 83.79/11.15 ( ?[Xj:a]: 83.79/11.15 ( ( ( ~( R @ ( U @ Xs ) @ Xj ) ) | ( ~( R @ ( U @ Xs ) @ Xj ) ) ) & 83.79/11.15 ( ![Xk:a]: 83.79/11.15 ( ( ~( Xs @ Xk ) ) | ( R @ Xk @ Xj ) | ( R @ Xk @ Xj ) | 83.79/11.15 ( ~( Xs @ Xk ) ) ) ) ) ) ) ) | 83.79/11.15 ( ?[X:a,Y:a,Z:a]: 83.79/11.15 ( ( ( R @ X @ Y ) | ( R @ X @ Y ) ) & 83.79/11.15 ( ( ~( R @ X @ Z ) ) | ( ~( R @ X @ Z ) ) ) & 83.79/11.15 ( ( R @ Y @ Z ) | ( R @ Y @ Z ) ) ) ) ))). 83.79/11.15 thf(zf_stmt_0, negated_conjecture, 83.79/11.15 (~( ![R:( a > a > $o ),U:( ( a > $o ) > a )]: 83.79/11.15 ( ( ![Xf:( a > a )]: 83.79/11.15 ( ( ?[Xx:a,Xy:a]: 83.79/11.15 ( ( ( R @ Xx @ Xy ) | ( R @ Xx @ Xy ) ) & 83.79/11.15 ( ( ~( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) | 83.79/11.15 ( ~( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) ) ) | 83.79/11.15 ( ?[Xw:a]: 83.79/11.15 ( ( ( R @ ( Xf @ Xw ) @ Xw ) | ( R @ ( Xf @ Xw ) @ Xw ) ) & 83.79/11.15 ( ( R @ Xw @ ( Xf @ Xw ) ) | ( R @ Xw @ ( Xf @ Xw ) ) ) ) ) ) ) | 83.79/11.15 ( ?[Xs:( a > $o )]: 83.79/11.15 ( ( ?[Xz:a]: 83.79/11.15 ( ( ( ~( R @ Xz @ ( U @ Xs ) ) ) | ( ~( R @ Xz @ ( U @ Xs ) ) ) ) & 83.79/11.15 ( ( Xs @ Xz ) | ( Xs @ Xz ) ) ) ) | 83.79/11.15 ( ?[Xj:a]: 83.79/11.15 ( ( ( ~( R @ ( U @ Xs ) @ Xj ) ) | ( ~( R @ ( U @ Xs ) @ Xj ) ) ) & 83.79/11.15 ( ![Xk:a]: 83.79/11.15 ( ( ~( Xs @ Xk ) ) | ( R @ Xk @ Xj ) | ( R @ Xk @ Xj ) | 83.79/11.15 ( ~( Xs @ Xk ) ) ) ) ) ) ) ) | 83.79/11.15 ( ?[X:a,Y:a,Z:a]: 83.79/11.15 ( ( ( R @ X @ Y ) | ( R @ X @ Y ) ) & 83.79/11.15 ( ( ~( R @ X @ Z ) ) | ( ~( R @ X @ Z ) ) ) & 83.79/11.15 ( ( R @ Y @ Z ) | ( R @ Y @ Z ) ) ) ) ) )), 83.79/11.15 inference('cnf.neg', [status(esa)], [cT145_DOUBLE])). 83.79/11.15 thf(zip_derived_cl0, plain, 83.79/11.15 (~ (((!!) @ (^[Y0 : a > a > $o]: 83.79/11.15 (((!!) @ (^[Y1 : (a > $o) > a]: 83.79/11.15 (((((!!) @ (^[Y2 : a > a]: 83.79/11.15 (((((??) @ (^[Y3 : a]: 83.79/11.15 (((??) @ ( 83.79/11.15 ^[Y4 : a]: 83.79/11.15 (((((Y0 @ 83.79/11.15 Y3 @ Y4) | 83.79/11.15 (Y0 @ 83.79/11.15 Y3 @ Y4))) & 83.79/11.15 (((( 83.79/11.15 (~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 (Y2 @ Y3) @ 83.79/11.15 (Y2 @ Y4)))) | 83.79/11.15 (( 83.79/11.15 (~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 (Y2 @ Y3) @ 83.79/11.15 (Y2 @ Y4)))))))))))))) | 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 (((((Y0 @ 83.79/11.15 (Y2 @ Y3) @ 83.79/11.15 Y3) | (Y0 @ 83.79/11.15 (Y2 @ Y3) @ 83.79/11.15 Y3))) & 83.79/11.15 (((Y0 @ Y3 @ 83.79/11.15 (Y2 @ Y3)) | 83.79/11.15 (Y0 @ Y3 @ 83.79/11.15 (Y2 @ Y3)))))))))))))) | 83.79/11.15 (((??) @ (^[Y2 : a > $o]: 83.79/11.15 (((((??) @ (^[Y3 : a]: 83.79/11.15 (((((((~) @ ( 83.79/11.15 Y0 @ Y3 @ 83.79/11.15 (Y1 @ Y2)))) | 83.79/11.15 (((~) @ ( 83.79/11.15 Y0 @ Y3 @ 83.79/11.15 (Y1 @ Y2)))))) & 83.79/11.15 (((Y2 @ Y3) | 83.79/11.15 (Y2 @ Y3)))))))) | 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 (((((((~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 (Y1 @ Y2) @ 83.79/11.15 Y3))) | 83.79/11.15 (((~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 (Y1 @ Y2) @ 83.79/11.15 Y3))))) & 83.79/11.15 (((!!) @ ( 83.79/11.15 ^[Y4 : a]: 83.79/11.15 (((( 83.79/11.15 (~) @ ( 83.79/11.15 Y2 @ Y4))) | 83.79/11.15 (Y0 @ 83.79/11.15 Y4 @ Y3) | 83.79/11.15 (Y0 @ 83.79/11.15 Y4 @ Y3) | 83.79/11.15 (( 83.79/11.15 (~) @ ( 83.79/11.15 Y2 @ Y4)))))))))))))))))) | 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 (((??) @ (^[Y4 : a]: 83.79/11.15 (( 83.79/11.15 ( 83.79/11.15 ( 83.79/11.15 (Y0 @ 83.79/11.15 Y2 @ 83.79/11.15 Y3) | 83.79/11.15 (Y0 @ 83.79/11.15 Y2 @ Y3))) & 83.79/11.15 ( 83.79/11.15 ( 83.79/11.15 (( 83.79/11.15 (~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 Y2 @ Y4))) | 83.79/11.15 (( 83.79/11.15 (~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 Y2 @ Y4))))) & 83.79/11.15 ( 83.79/11.15 ( 83.79/11.15 (Y0 @ 83.79/11.15 Y3 @ 83.79/11.15 Y4) | 83.79/11.15 (Y0 @ 83.79/11.15 Y3 @ Y4))))))))))))))))))))))), 83.79/11.15 inference('cnf', [status(esa)], [zf_stmt_0])). 83.79/11.15 thf(zip_derived_cl1, plain, 83.79/11.15 (~ (((!!) @ (^[Y0 : a > a > $o]: 83.79/11.15 (((!!) @ (^[Y1 : (a > $o) > a]: 83.79/11.15 (((((!!) @ (^[Y2 : a > a]: 83.79/11.15 (((((??) @ (^[Y3 : a]: 83.79/11.15 (((??) @ ( 83.79/11.15 ^[Y4 : a]: 83.79/11.15 (((Y0 @ Y3 @ 83.79/11.15 Y4) & 83.79/11.15 (((~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 (Y2 @ Y3) @ 83.79/11.15 (Y2 @ Y4)))))))))))) | 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 (((Y0 @ 83.79/11.15 (Y2 @ Y3) @ 83.79/11.15 Y3) & (Y0 @ 83.79/11.15 Y3 @ (Y2 @ Y3)))))))))))) | 83.79/11.15 (((??) @ (^[Y2 : a > $o]: 83.79/11.15 (((((??) @ (^[Y3 : a]: 83.79/11.15 (((((~) @ ( 83.79/11.15 Y0 @ Y3 @ 83.79/11.15 (Y1 @ Y2)))) & 83.79/11.15 (Y2 @ Y3)))))) | 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 (((((~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 (Y1 @ Y2) @ Y3))) & 83.79/11.15 (((!!) @ ( 83.79/11.15 ^[Y4 : a]: 83.79/11.15 (((( 83.79/11.15 (~) @ ( 83.79/11.15 Y2 @ Y4))) | 83.79/11.15 (Y0 @ 83.79/11.15 Y4 @ Y3)))))))))))))))) | 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 (((??) @ (^[Y4 : a]: 83.79/11.15 (( 83.79/11.15 ( 83.79/11.15 Y0 @ 83.79/11.15 Y2 @ Y3) & 83.79/11.15 ( 83.79/11.15 ( 83.79/11.15 (~) @ ( 83.79/11.15 Y0 @ 83.79/11.15 Y2 @ Y4))) & 83.79/11.15 ( 83.79/11.15 Y0 @ 83.79/11.15 Y3 @ Y4))))))))))))))))))))), 83.79/11.15 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 83.79/11.15 thf(zip_derived_cl2, plain, 83.79/11.15 (~ (((!!) @ (^[Y0 : (a > $o) > a]: 83.79/11.15 (((((!!) @ (^[Y1 : a > a]: 83.79/11.15 (((((??) @ (^[Y2 : a]: 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 ((('#sk1' @ Y2 @ 83.79/11.15 Y3) & 83.79/11.15 (((~) @ ( 83.79/11.15 '#sk1' @ 83.79/11.15 (Y1 @ Y2) @ 83.79/11.15 (Y1 @ Y3)))))))))))) | 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 ((('#sk1' @ (Y1 @ Y2) @ Y2) & 83.79/11.15 ('#sk1' @ Y2 @ (Y1 @ Y2)))))))))))) | 83.79/11.15 (((??) @ (^[Y1 : a > $o]: 83.79/11.15 (((((??) @ (^[Y2 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ Y2 @ 83.79/11.15 (Y0 @ Y1)))) & 83.79/11.15 (Y1 @ Y2)))))) | 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ 83.79/11.15 (Y0 @ Y1) @ Y2))) & 83.79/11.15 (((!!) @ (^[Y3 : a]: 83.79/11.15 (((((~) @ ( 83.79/11.15 Y1 @ Y3))) | 83.79/11.15 ('#sk1' @ 83.79/11.15 Y3 @ Y2)))))))))))))))) | 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 (((??) @ (^[Y3 : a]: 83.79/11.15 ((('#sk1' @ Y1 @ Y2) & 83.79/11.15 (((~) @ ('#sk1' @ 83.79/11.15 Y1 @ Y3))) & 83.79/11.15 ('#sk1' @ Y2 @ Y3)))))))))))))))))), 83.79/11.15 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 83.79/11.15 thf(zip_derived_cl3, plain, 83.79/11.15 (~ (((((!!) @ (^[Y0 : a > a]: 83.79/11.15 (((((??) @ (^[Y1 : a]: 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 ((('#sk1' @ Y1 @ Y2) & 83.79/11.15 (((~) @ ('#sk1' @ 83.79/11.15 (Y0 @ Y1) @ 83.79/11.15 (Y0 @ Y2)))))))))))) | 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 ((('#sk1' @ (Y0 @ Y1) @ Y1) & ('#sk1' @ 83.79/11.15 Y1 @ (Y0 @ Y1)))))))))))) | 83.79/11.15 (((??) @ (^[Y0 : a > $o]: 83.79/11.15 (((((??) @ (^[Y1 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ Y1 @ ('#sk2' @ Y0)))) & 83.79/11.15 (Y0 @ Y1)))))) | 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ ('#sk2' @ Y0) @ Y1))) & 83.79/11.15 (((!!) @ (^[Y2 : a]: 83.79/11.15 (((((~) @ (Y0 @ Y2))) | 83.79/11.15 ('#sk1' @ Y2 @ Y1)))))))))))))))) | 83.79/11.15 (((??) @ (^[Y0 : a]: 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 ((('#sk1' @ Y0 @ Y1) & 83.79/11.15 (((~) @ ('#sk1' @ Y0 @ Y2))) & 83.79/11.15 ('#sk1' @ Y1 @ Y2))))))))))))))), 83.79/11.15 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 83.79/11.15 thf(zip_derived_cl5, plain, 83.79/11.15 (~ (((??) @ (^[Y0 : a > $o]: 83.79/11.15 (((((??) @ (^[Y1 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ Y1 @ ('#sk2' @ Y0)))) & 83.79/11.15 (Y0 @ Y1)))))) | 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ ('#sk2' @ Y0) @ Y1))) & 83.79/11.15 (((!!) @ (^[Y2 : a]: 83.79/11.15 (((((~) @ (Y0 @ Y2))) | 83.79/11.15 ('#sk1' @ Y2 @ Y1))))))))))))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl3])). 83.79/11.15 thf(zip_derived_cl8, plain, 83.79/11.15 (![X2 : a > $o]: 83.79/11.15 ~ (((((??) @ (^[Y0 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ Y0 @ ('#sk2' @ X2)))) & (X2 @ Y0)))))) | 83.79/11.15 (((??) @ (^[Y0 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ ('#sk2' @ X2) @ Y0))) & 83.79/11.15 (((!!) @ (^[Y1 : a]: 83.79/11.15 (((((~) @ (X2 @ Y1))) | ('#sk1' @ Y1 @ 83.79/11.15 Y0)))))))))))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 83.79/11.15 thf(zip_derived_cl13, plain, 83.79/11.15 (![X2 : a > $o]: 83.79/11.15 ~ (((??) @ (^[Y0 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ ('#sk2' @ X2) @ Y0))) & 83.79/11.15 (((!!) @ (^[Y1 : a]: 83.79/11.15 (((((~) @ (X2 @ Y1))) | ('#sk1' @ Y1 @ Y0)))))))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])). 83.79/11.15 thf(zip_derived_cl18, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 ~ (((((~) @ ('#sk1' @ ('#sk2' @ X2) @ X4))) & 83.79/11.15 (((!!) @ (^[Y0 : a]: (((((~) @ (X2 @ Y0))) | ('#sk1' @ Y0 @ X4))))))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 83.79/11.15 thf(zip_derived_cl23, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 ( ('#sk1' @ ('#sk2' @ X2) @ X4) 83.79/11.15 | ~ (((!!) @ (^[Y0 : a]: (((((~) @ (X2 @ Y0))) | ('#sk1' @ Y0 @ X4)))))))), 83.79/11.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 83.79/11.15 thf(zip_derived_cl26, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 (~ (((((~) @ (X2 @ ('#sk18' @ X2 @ X4)))) | ('#sk1' @ 83.79/11.15 ('#sk18' @ X2 @ X4) @ X4))) 83.79/11.15 | ('#sk1' @ ('#sk2' @ X2) @ X4))), 83.79/11.15 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 83.79/11.15 thf(zip_derived_cl27, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 ( (X2 @ ('#sk18' @ X2 @ X4)) | ('#sk1' @ ('#sk2' @ X2) @ X4))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 83.79/11.15 thf(zip_derived_cl12, plain, 83.79/11.15 (![X2 : a > $o]: 83.79/11.15 ~ (((??) @ (^[Y0 : a]: 83.79/11.15 (((((~) @ ('#sk1' @ Y0 @ ('#sk2' @ X2)))) & (X2 @ Y0))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])). 83.79/11.15 thf(zip_derived_cl17, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 ~ (((((~) @ ('#sk1' @ X4 @ ('#sk2' @ X2)))) & (X2 @ X4)))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 83.79/11.15 thf(zip_derived_cl22, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: ( ('#sk1' @ X4 @ ('#sk2' @ X2)) | ~ (X2 @ X4))), 83.79/11.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 83.79/11.15 thf(zip_derived_cl72, plain, 83.79/11.15 (![X0 : a > a, X1 : a > $o]: 83.79/11.15 ( (X1 @ ('#sk18' @ X1 @ (X0 @ ('#sk2' @ X1)))) 83.79/11.15 | ('#sk1' @ ('#sk2' @ X1) @ 83.79/11.15 ('#sk2' @ 83.79/11.15 (^[Y0 : a]: 83.79/11.15 ('#sk1' @ ((^[Y1 : a]: (Y1)) @ Y0) @ 83.79/11.15 ((^[Y1 : a]: (X0 @ Y1)) @ Y0))))))), 83.79/11.15 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl22])). 83.79/11.15 thf(zip_derived_cl81, plain, 83.79/11.15 (![X0 : a > a, X1 : a > $o]: 83.79/11.15 ( (X1 @ ('#sk18' @ X1 @ (X0 @ ('#sk2' @ X1)))) 83.79/11.15 | ('#sk1' @ ('#sk2' @ X1) @ 83.79/11.15 ('#sk2' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))))))), 83.79/11.15 inference('ho_norm', [status(thm)], [zip_derived_cl72])). 83.79/11.15 thf(zip_derived_cl11435, plain, 83.79/11.15 (![X0 : a > a, X2 : a]: 83.79/11.15 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 83.79/11.15 define([status(thm)])). 83.79/11.15 thf(zip_derived_cl27, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 ( (X2 @ ('#sk18' @ X2 @ X4)) | ('#sk1' @ ('#sk2' @ X2) @ X4))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 83.79/11.15 thf(zip_derived_cl4, plain, 83.79/11.15 (~ (((!!) @ (^[Y0 : a > a]: 83.79/11.15 (((((??) @ (^[Y1 : a]: 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 ((('#sk1' @ Y1 @ Y2) & 83.79/11.15 (((~) @ ('#sk1' @ (Y0 @ Y1) @ 83.79/11.15 (Y0 @ Y2)))))))))))) | 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 ((('#sk1' @ (Y0 @ Y1) @ Y1) & ('#sk1' @ 83.79/11.15 Y1 @ (Y0 @ Y1))))))))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl3])). 83.79/11.15 thf(zip_derived_cl7, plain, 83.79/11.15 (~ (((((??) @ (^[Y0 : a]: 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 ((('#sk1' @ Y0 @ Y1) & 83.79/11.15 (((~) @ ('#sk1' @ ('#sk3' @ Y0) @ 83.79/11.15 ('#sk3' @ Y1)))))))))))) | 83.79/11.15 (((??) @ (^[Y0 : a]: 83.79/11.15 ((('#sk1' @ ('#sk3' @ Y0) @ Y0) & ('#sk1' @ Y0 @ 83.79/11.15 ('#sk3' @ Y0)))))))))), 83.79/11.15 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 83.79/11.15 thf(zip_derived_cl11, plain, 83.79/11.15 (~ (((??) @ (^[Y0 : a]: 83.79/11.15 ((('#sk1' @ ('#sk3' @ Y0) @ Y0) & ('#sk1' @ Y0 @ 83.79/11.15 ('#sk3' @ Y0)))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])). 83.79/11.15 thf(zip_derived_cl16, plain, 83.79/11.15 (![X2 : a]: 83.79/11.15 ~ ((('#sk1' @ ('#sk3' @ X2) @ X2) & ('#sk1' @ X2 @ ('#sk3' @ X2))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 83.79/11.15 thf(zip_derived_cl21, plain, 83.79/11.15 (![X2 : a]: 83.79/11.15 (~ ('#sk1' @ ('#sk3' @ X2) @ X2) | ~ ('#sk1' @ X2 @ ('#sk3' @ X2)))), 83.79/11.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 83.79/11.15 thf(zip_derived_cl22, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: ( ('#sk1' @ X4 @ ('#sk2' @ X2)) | ~ (X2 @ X4))), 83.79/11.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 83.79/11.15 thf(zip_derived_cl28, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 (~ ('#sk1' @ ('#sk18' @ X2 @ X4) @ X4) 83.79/11.15 | ('#sk1' @ ('#sk2' @ X2) @ X4))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 83.79/11.15 thf(zip_derived_cl10, plain, 83.79/11.15 (~ (((??) @ (^[Y0 : a]: 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 ((('#sk1' @ Y0 @ Y1) & 83.79/11.15 (((~) @ ('#sk1' @ ('#sk3' @ Y0) @ 83.79/11.15 ('#sk3' @ Y1))))))))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])). 83.79/11.15 thf(zip_derived_cl15, plain, 83.79/11.15 (![X2 : a]: 83.79/11.15 ~ (((??) @ (^[Y0 : a]: 83.79/11.15 ((('#sk1' @ X2 @ Y0) & 83.79/11.15 (((~) @ ('#sk1' @ ('#sk3' @ X2) @ ('#sk3' @ Y0)))))))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 83.79/11.15 thf(zip_derived_cl20, plain, 83.79/11.15 (![X2 : a, X4 : a]: 83.79/11.15 ~ ((('#sk1' @ X2 @ X4) & 83.79/11.15 (((~) @ ('#sk1' @ ('#sk3' @ X2) @ ('#sk3' @ X4))))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 83.79/11.15 thf(zip_derived_cl25, plain, 83.79/11.15 (![X2 : a, X4 : a]: 83.79/11.15 (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ ('#sk3' @ X2) @ ('#sk3' @ X4)))), 83.79/11.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 83.79/11.15 thf(zip_derived_cl27, plain, 83.79/11.15 (![X2 : a > $o, X4 : a]: 83.79/11.15 ( (X2 @ ('#sk18' @ X2 @ X4)) | ('#sk1' @ ('#sk2' @ X2) @ X4))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 83.79/11.15 thf(zip_derived_cl6, plain, 83.79/11.15 (~ (((??) @ (^[Y0 : a]: 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 (((??) @ (^[Y2 : a]: 83.79/11.15 ((('#sk1' @ Y0 @ Y1) & 83.79/11.15 (((~) @ ('#sk1' @ Y0 @ Y2))) & 83.79/11.15 ('#sk1' @ Y1 @ Y2))))))))))))), 83.79/11.15 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl3])). 83.79/11.15 thf(zip_derived_cl9, plain, 83.79/11.15 (![X2 : a]: 83.79/11.15 ~ (((??) @ (^[Y0 : a]: 83.79/11.15 (((??) @ (^[Y1 : a]: 83.79/11.15 ((('#sk1' @ X2 @ Y0) & 83.79/11.15 (((~) @ ('#sk1' @ X2 @ Y1))) & 83.79/11.15 ('#sk1' @ Y0 @ Y1)))))))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 83.79/11.15 thf(zip_derived_cl14, plain, 83.79/11.15 (![X2 : a, X4 : a]: 83.79/11.15 ~ (((??) @ (^[Y0 : a]: 83.79/11.15 ((('#sk1' @ X2 @ X4) & (((~) @ ('#sk1' @ X2 @ Y0))) & 83.79/11.15 ('#sk1' @ X4 @ Y0))))))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 83.79/11.15 thf(zip_derived_cl19, plain, 83.79/11.15 (![X2 : a, X4 : a, X6 : a]: 83.79/11.15 ~ ((('#sk1' @ X2 @ X4) & (((~) @ ('#sk1' @ X2 @ X6))) & 83.79/11.15 ('#sk1' @ X4 @ X6)))), 83.79/11.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 83.79/11.15 thf(zip_derived_cl24, plain, 83.79/11.15 (![X2 : a, X4 : a, X6 : a]: 83.79/11.15 (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X2 @ X6) | ~ ('#sk1' @ X4 @ X6))), 83.79/11.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 83.79/11.15 thf(zip_derived_cl73, plain, 83.79/11.15 (![X0 : a > a, X1 : a, X2 : a]: 83.79/11.15 ( ('#sk1' @ 83.79/11.15 ('#sk2' @ 83.79/11.15 (^[Y0 : a]: 83.79/11.15 ('#sk1' @ ((^[Y1 : a]: (Y1)) @ Y0) @ 83.79/11.15 ((^[Y1 : a]: (X0 @ Y1)) @ Y0)))) @ 83.79/11.15 X1) 83.79/11.15 | ~ ('#sk1' @ 83.79/11.15 (X0 @ ('#sk18' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))) @ X1)) @ 83.79/11.15 X2) 83.79/11.15 | ('#sk1' @ 83.79/11.15 ('#sk18' @ 83.79/11.15 (^[Y0 : a]: ('#sk1' @ Y0 @ ((^[Y1 : a]: (X0 @ Y1)) @ Y0))) @ X1) @ 83.79/11.15 X2))), 83.79/11.15 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl24])). 83.79/11.15 thf(zip_derived_cl82, plain, 83.79/11.15 (![X0 : a > a, X1 : a, X2 : a]: 83.79/11.15 ( ('#sk1' @ ('#sk2' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0)))) @ X1) 83.79/11.15 | ~ ('#sk1' @ 83.79/11.15 (X0 @ ('#sk18' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))) @ X1)) @ 83.79/11.15 X2) 83.79/11.15 | ('#sk1' @ 83.79/11.15 ('#sk18' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))) @ X1) @ X2))), 83.79/11.15 inference('ho_norm', [status(thm)], [zip_derived_cl73])). 83.79/11.15 thf(zip_derived_cl11435, plain, 83.79/11.15 (![X0 : a > a, X2 : a]: 83.79/11.15 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 83.79/11.15 define([status(thm)])). 83.79/11.15 thf(zip_derived_cl11435, plain, 83.79/11.15 (![X0 : a > a, X2 : a]: 83.79/11.15 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 83.79/11.15 define([status(thm)])). 83.79/11.15 thf(zip_derived_cl11435, plain, 83.79/11.15 (![X0 : a > a, X2 : a]: 83.79/11.15 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 83.79/11.15 define([status(thm)])). 83.79/11.15 thf(zip_derived_cl11441, plain, 83.79/11.15 (![X0 : a > a, X1 : a, X2 : a]: 83.79/11.15 ( ('#sk1' @ ('#sk2' @ ('#l_lift24572' @ X0)) @ X1) 83.79/11.15 | ~ ('#sk1' @ (X0 @ ('#sk18' @ ('#l_lift24572' @ X0) @ X1)) @ X2) 83.79/11.15 | ('#sk1' @ ('#sk18' @ ('#l_lift24572' @ X0) @ X1) @ X2))), 83.79/11.15 inference('lambda_lifting', [status(thm)], 83.79/11.15 [zip_derived_cl82, zip_derived_cl11435, zip_derived_cl11435, 83.79/11.15 zip_derived_cl11435])). 83.79/11.15 thf(zip_derived_cl11445, plain, ($false), 83.79/11.15 inference('eprover', [status(thm)], 83.79/11.15 [zip_derived_cl11435, zip_derived_cl27, zip_derived_cl21, 83.79/11.15 zip_derived_cl22, zip_derived_cl28, zip_derived_cl25, 83.79/11.15 zip_derived_cl11441])). 83.79/11.15 83.79/11.15 % SZS output end Refutation 83.79/11.15 83.79/11.15 83.79/11.15 % Terminating... 84.27/11.29 % Runner terminated. 84.27/11.29 % Zipperpin 1.5 exiting 84.27/11.29 EOF