0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nCGvgJjdgC true 0.12/0.33 % Computer : n028.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 02:43:20 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 960 s 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in HO mode 0.55/0.66 % Total configuration time : 828 0.55/0.66 % Estimated wc time : 1656 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 124.26/16.24 % Solved by lams/15_e_short1.sh. 124.26/16.24 % running E: timeout 11 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.nCGvgJjdgC/e_inputb2edf3 --cpu-limit=9 --auto-schedule -s -p 124.26/16.24 % done 255 iterations in 15.482s 124.26/16.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 124.26/16.24 % SZS output start Refutation 124.26/16.24 thf(a_type, type, a: $tType). 124.26/16.24 thf('#sk4_type', type, '#sk4': (a > a) > $o). 124.26/16.24 thf('#sk2_type', type, '#sk2': a > a). 124.26/16.24 thf('#sk3_type', type, '#sk3': a > a). 124.26/16.24 thf('#sk15_type', type, '#sk15': ((a > a) > $o) > a > a). 124.26/16.24 thf('#sk1_type', type, '#sk1': a > a). 124.26/16.24 thf(cTHM135_pme, conjecture, 124.26/16.24 (![Xf:( a > a ),Xg1:( a > a ),Xg2:( a > a )]: 124.26/16.24 ( ( ( ![Xp:( ( a > a ) > $o )]: 124.26/16.24 ( ( ( ![Xj:( a > a )]: 124.26/16.24 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 124.26/16.24 ( Xp @ ( ^[Xu:a]: ( Xu ) ) ) ) => 124.26/16.24 ( Xp @ Xg2 ) ) ) & 124.26/16.24 ( ![Xp:( ( a > a ) > $o )]: 124.26/16.24 ( ( ( ![Xj:( a > a )]: 124.26/16.24 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 124.26/16.24 ( Xp @ ( ^[Xu:a]: ( Xu ) ) ) ) => 124.26/16.24 ( Xp @ Xg1 ) ) ) ) => 124.26/16.24 ( ![Xp:( ( a > a ) > $o )]: 124.26/16.24 ( ( ( ![Xj:( a > a )]: 124.26/16.24 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 124.26/16.24 ( Xp @ ( ^[Xu:a]: ( Xu ) ) ) ) => 124.26/16.24 ( Xp @ ( ^[Xx:a]: ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ))). 124.26/16.24 thf(zf_stmt_0, negated_conjecture, 124.26/16.24 (~( ![Xf:( a > a ),Xg1:( a > a ),Xg2:( a > a )]: 124.26/16.24 ( ( ( ![Xp:( ( a > a ) > $o )]: 124.26/16.24 ( ( ( ![Xj:( a > a )]: 124.26/16.24 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 124.26/16.24 ( Xp @ ( ^[Xu:a]: ( Xu ) ) ) ) => 124.26/16.24 ( Xp @ Xg2 ) ) ) & 124.26/16.24 ( ![Xp:( ( a > a ) > $o )]: 124.26/16.24 ( ( ( ![Xj:( a > a )]: 124.26/16.24 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 124.26/16.24 ( Xp @ ( ^[Xu:a]: ( Xu ) ) ) ) => 124.26/16.24 ( Xp @ Xg1 ) ) ) ) => 124.26/16.24 ( ![Xp:( ( a > a ) > $o )]: 124.26/16.24 ( ( ( ![Xj:( a > a )]: 124.26/16.24 ( ( Xp @ Xj ) => ( Xp @ ( ^[Xx:a]: ( Xf @ ( Xj @ Xx ) ) ) ) ) ) & 124.26/16.24 ( Xp @ ( ^[Xu:a]: ( Xu ) ) ) ) => 124.26/16.24 ( Xp @ ( ^[Xx:a]: ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ) )), 124.26/16.24 inference('cnf.neg', [status(esa)], [cTHM135_pme])). 124.26/16.24 thf(zip_derived_cl0, plain, 124.26/16.24 (~ (((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((!!) @ (^[Y2 : a > a]: 124.26/16.24 (((((((!!) @ (^[Y3 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ ( 124.26/16.24 ^[Y4 : a > a]: 124.26/16.24 (( 124.26/16.24 (Y3 @ 124.26/16.24 Y4) => 124.26/16.24 (Y3 @ 124.26/16.24 ( 124.26/16.24 ^[Y5 : a]: 124.26/16.24 (Y0 @ 124.26/16.24 (Y4 @ Y5))))))))) & 124.26/16.24 (Y3 @ 124.26/16.24 (^[Y4 : a]: 124.26/16.24 (Y4))))) => 124.26/16.24 (Y3 @ Y2)))))) & 124.26/16.24 (((!!) @ (^[Y3 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ ( 124.26/16.24 ^[Y4 : a > a]: 124.26/16.24 (( 124.26/16.24 (Y3 @ 124.26/16.24 Y4) => 124.26/16.24 (Y3 @ 124.26/16.24 ( 124.26/16.24 ^[Y5 : a]: 124.26/16.24 (Y0 @ 124.26/16.24 (Y4 @ Y5))))))))) & 124.26/16.24 (Y3 @ 124.26/16.24 (^[Y4 : a]: 124.26/16.24 (Y4))))) => 124.26/16.24 (Y3 @ Y1)))))))) => 124.26/16.24 (((!!) @ (^[Y3 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ ( 124.26/16.24 ^[Y4 : a > a]: 124.26/16.24 (((Y3 @ 124.26/16.24 Y4) => 124.26/16.24 (Y3 @ 124.26/16.24 (^[Y5 : a]: 124.26/16.24 (Y0 @ 124.26/16.24 (Y4 @ Y5))))))))) & 124.26/16.24 (Y3 @ 124.26/16.24 (^[Y4 : a]: (Y4))))) => 124.26/16.24 (Y3 @ 124.26/16.24 (^[Y4 : a]: 124.26/16.24 (Y1 @ (Y2 @ Y4))))))))))))))))))))), 124.26/16.24 inference('cnf', [status(esa)], [zf_stmt_0])). 124.26/16.24 thf(zip_derived_cl3, plain, 124.26/16.24 (~ (((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((((((!!) @ (^[Y2 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y3 : a > a]: 124.26/16.24 (((Y2 @ Y3) => 124.26/16.24 (Y2 @ 124.26/16.24 (^[Y4 : a]: 124.26/16.24 ( 124.26/16.24 '#sk1' @ 124.26/16.24 ( 124.26/16.24 Y3 @ Y4))))))))) & 124.26/16.24 (Y2 @ (^[Y3 : a]: (Y3))))) => 124.26/16.24 (Y2 @ Y1)))))) & 124.26/16.24 (((!!) @ (^[Y2 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y3 : a > a]: 124.26/16.24 (((Y2 @ Y3) => 124.26/16.24 (Y2 @ 124.26/16.24 (^[Y4 : a]: 124.26/16.24 ( 124.26/16.24 '#sk1' @ 124.26/16.24 ( 124.26/16.24 Y3 @ Y4))))))))) & 124.26/16.24 (Y2 @ (^[Y3 : a]: (Y3))))) => 124.26/16.24 (Y2 @ Y0)))))))) => 124.26/16.24 (((!!) @ (^[Y2 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y3 : a > a]: 124.26/16.24 (((Y2 @ Y3) => 124.26/16.24 (Y2 @ 124.26/16.24 (^[Y4 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 (Y3 @ Y4))))))))) & 124.26/16.24 (Y2 @ (^[Y3 : a]: (Y3))))) => 124.26/16.24 (Y2 @ 124.26/16.24 (^[Y3 : a]: (Y0 @ (Y1 @ Y3)))))))))))))))))), 124.26/16.24 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 124.26/16.24 thf(zip_derived_cl4, plain, 124.26/16.24 (~ (((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((((((!!) @ (^[Y1 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y2 : a > a]: 124.26/16.24 (((Y1 @ Y2) => (Y1 @ 124.26/16.24 (^[Y3 : a]: 124.26/16.24 ('#sk1' @ (Y2 @ Y3))))))))) & 124.26/16.24 (Y1 @ (^[Y2 : a]: (Y2))))) => 124.26/16.24 (Y1 @ Y0)))))) & 124.26/16.24 (((!!) @ (^[Y1 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y2 : a > a]: 124.26/16.24 (((Y1 @ Y2) => (Y1 @ 124.26/16.24 (^[Y3 : a]: 124.26/16.24 ('#sk1' @ (Y2 @ Y3))))))))) & 124.26/16.24 (Y1 @ (^[Y2 : a]: (Y2))))) => 124.26/16.24 (Y1 @ '#sk2')))))))) => 124.26/16.24 (((!!) @ (^[Y1 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y2 : a > a]: 124.26/16.24 (((Y1 @ Y2) => (Y1 @ 124.26/16.24 (^[Y3 : a]: 124.26/16.24 ('#sk1' @ (Y2 @ Y3))))))))) & 124.26/16.24 (Y1 @ (^[Y2 : a]: (Y2))))) => 124.26/16.24 (Y1 @ (^[Y2 : a]: ('#sk2' @ (Y0 @ Y2))))))))))))))), 124.26/16.24 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 124.26/16.24 thf(zip_derived_cl5, plain, 124.26/16.24 (~ (((((((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ '#sk3')))))) & 124.26/16.24 (((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ '#sk2')))))))) => 124.26/16.24 (((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ (^[Y1 : a]: ('#sk2' @ ('#sk3' @ Y1)))))))))))), 124.26/16.24 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 124.26/16.24 thf(zip_derived_cl7, plain, 124.26/16.24 (~ (((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ (^[Y1 : a]: ('#sk2' @ ('#sk3' @ Y1)))))))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 124.26/16.24 thf(zip_derived_cl10, plain, 124.26/16.24 (~ (((((((!!) @ (^[Y0 : a > a]: 124.26/16.24 ((('#sk4' @ Y0) => ('#sk4' @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) & 124.26/16.24 ('#sk4' @ (^[Y0 : a]: (Y0))))) => 124.26/16.24 ('#sk4' @ (^[Y0 : a]: ('#sk2' @ ('#sk3' @ Y0))))))), 124.26/16.24 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 124.26/16.24 thf(zip_derived_cl13, plain, 124.26/16.24 ( (((((!!) @ (^[Y0 : a > a]: 124.26/16.24 ((('#sk4' @ Y0) => ('#sk4' @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) & 124.26/16.24 ('#sk4' @ (^[Y0 : a]: (Y0)))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 124.26/16.24 thf(zip_derived_cl18, plain, ( ('#sk4' @ (^[Y0 : a]: (Y0)))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl13])). 124.26/16.24 thf(zip_derived_cl6, plain, 124.26/16.24 ( (((((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ '#sk3')))))) & 124.26/16.24 (((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ '#sk2'))))))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 124.26/16.24 thf(zip_derived_cl8, plain, 124.26/16.24 ( (((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ '#sk3'))))))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 124.26/16.24 thf(zip_derived_cl11, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((X2 @ Y0) => (X2 @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) & 124.26/16.24 (X2 @ (^[Y0 : a]: (Y0))))) => 124.26/16.24 (X2 @ '#sk3')))), 124.26/16.24 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 124.26/16.24 thf(zip_derived_cl15, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (((((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((X2 @ Y0) => (X2 @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) & 124.26/16.24 (X2 @ (^[Y0 : a]: (Y0))))) 124.26/16.24 | (X2 @ '#sk3'))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 124.26/16.24 thf(zip_derived_cl19, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((X2 @ Y0) => (X2 @ (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) 124.26/16.24 | ~ (X2 @ (^[Y0 : a]: (Y0))) 124.26/16.24 | (X2 @ '#sk3'))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])). 124.26/16.24 thf(zip_derived_cl22, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (((X2 @ ('#sk15' @ X2)) => (X2 @ 124.26/16.24 (^[Y0 : a]: ('#sk1' @ ('#sk15' @ X2 @ Y0)))))) 124.26/16.24 | (X2 @ '#sk3') 124.26/16.24 | ~ (X2 @ (^[Y0 : a]: (Y0))))), 124.26/16.24 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 124.26/16.24 thf(zip_derived_cl26, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (X2 @ (^[Y0 : a]: ('#sk1' @ ('#sk15' @ X2 @ Y0)))) 124.26/16.24 | ~ (X2 @ (^[Y0 : a]: (Y0))) 124.26/16.24 | (X2 @ '#sk3'))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 124.26/16.24 thf(zip_derived_cl614, plain, 124.26/16.24 (( ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 '#sk3') 124.26/16.24 | ~ ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y2 : a > a,Y3 : a]: 124.26/16.24 (Y2 @ ((^[Y4 : a > a,Y5 : a]: (Y5)) @ Y2 @ Y3))) @ 124.26/16.24 Y1))) @ 124.26/16.24 Y0)))))), 124.26/16.24 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl26])). 124.26/16.24 thf(zip_derived_cl743, plain, 124.26/16.24 (( ('#sk4' @ '#sk3') 124.26/16.24 | ~ ('#sk4' @ (^[Y0 : a]: ('#sk1' @ ('#sk15' @ '#sk4' @ Y0)))))), 124.26/16.24 inference('ho_norm', [status(thm)], [zip_derived_cl614])). 124.26/16.24 thf(zip_derived_cl18, plain, ( ('#sk4' @ (^[Y0 : a]: (Y0)))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl13])). 124.26/16.24 thf(zip_derived_cl25, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 ( (X2 @ ('#sk15' @ X2)) | ~ (X2 @ (^[Y0 : a]: (Y0))) | (X2 @ '#sk3'))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 124.26/16.24 thf(zip_derived_cl162, plain, 124.26/16.24 (( ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 '#sk3') 124.26/16.24 | ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ ((^[Y3 : a > a,Y4 : a]: (Y4)) @ Y1 @ Y2))) @ 124.26/16.24 Y0))))))), 124.26/16.24 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl25])). 124.26/16.24 thf(zip_derived_cl248, plain, 124.26/16.24 (( ('#sk4' @ '#sk3') | ('#sk4' @ ('#sk15' @ '#sk4')))), 124.26/16.24 inference('ho_norm', [status(thm)], [zip_derived_cl162])). 124.26/16.24 thf(zip_derived_cl17, plain, 124.26/16.24 ( (((!!) @ (^[Y0 : a > a]: 124.26/16.24 ((('#sk4' @ Y0) => ('#sk4' @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1)))))))))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl13])). 124.26/16.24 thf(zip_derived_cl21, plain, 124.26/16.24 (![X2 : a > a]: 124.26/16.24 ((('#sk4' @ X2) => ('#sk4' @ (^[Y0 : a]: ('#sk1' @ (X2 @ Y0))))))), 124.26/16.24 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 124.26/16.24 thf(zip_derived_cl24, plain, 124.26/16.24 (![X2 : a > a]: 124.26/16.24 (~ ('#sk4' @ X2) | ('#sk4' @ (^[Y0 : a]: ('#sk1' @ (X2 @ Y0)))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 124.26/16.24 thf(zip_derived_cl300, plain, 124.26/16.24 (( ('#sk4' @ '#sk3') 124.26/16.24 | ('#sk4' @ (^[Y0 : a]: ('#sk1' @ ('#sk15' @ '#sk4' @ Y0)))))), 124.26/16.24 inference('sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl24])). 124.26/16.24 thf(zip_derived_cl1472, plain, ( ('#sk4' @ '#sk3')), 124.26/16.24 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl300])). 124.26/16.24 thf(zip_derived_cl9, plain, 124.26/16.24 ( (((!!) @ (^[Y0 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y1 : a > a]: 124.26/16.24 (((Y0 @ Y1) => (Y0 @ 124.26/16.24 (^[Y2 : a]: ('#sk1' @ (Y1 @ Y2))))))))) & 124.26/16.24 (Y0 @ (^[Y1 : a]: (Y1))))) => 124.26/16.24 (Y0 @ '#sk2'))))))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 124.26/16.24 thf(zip_derived_cl12, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (((((((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((X2 @ Y0) => (X2 @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) & 124.26/16.24 (X2 @ (^[Y0 : a]: (Y0))))) => 124.26/16.24 (X2 @ '#sk2')))), 124.26/16.24 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 124.26/16.24 thf(zip_derived_cl16, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (((((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((X2 @ Y0) => (X2 @ 124.26/16.24 (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) & 124.26/16.24 (X2 @ (^[Y0 : a]: (Y0))))) 124.26/16.24 | (X2 @ '#sk2'))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])). 124.26/16.24 thf(zip_derived_cl20, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (((!!) @ (^[Y0 : a > a]: 124.26/16.24 (((X2 @ Y0) => (X2 @ (^[Y1 : a]: ('#sk1' @ (Y0 @ Y1))))))))) 124.26/16.24 | ~ (X2 @ (^[Y0 : a]: (Y0))) 124.26/16.24 | (X2 @ '#sk2'))), 124.26/16.24 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 124.26/16.24 thf(zip_derived_cl23, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (((X2 @ ('#sk15' @ X2)) => (X2 @ 124.26/16.24 (^[Y0 : a]: ('#sk1' @ ('#sk15' @ X2 @ Y0)))))) 124.26/16.24 | (X2 @ '#sk2') 124.26/16.24 | ~ (X2 @ (^[Y0 : a]: (Y0))))), 124.26/16.24 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])). 124.26/16.24 thf(zip_derived_cl28, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 (~ (X2 @ (^[Y0 : a]: ('#sk1' @ ('#sk15' @ X2 @ Y0)))) 124.26/16.24 | ~ (X2 @ (^[Y0 : a]: (Y0))) 124.26/16.24 | (X2 @ '#sk2'))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 124.26/16.24 thf(zip_derived_cl1945, plain, 124.26/16.24 ((~ ((^[Y0 : $o]: (Y0)) @ ($true)) 124.26/16.24 | ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ 124.26/16.24 ((^[Y3 : a > a,Y4 : a]: 124.26/16.24 ('#sk3' @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 124.26/16.24 Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 '#sk2') 124.26/16.24 | ~ ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ 124.26/16.24 ((^[Y3 : a > a,Y4 : a]: 124.26/16.24 ('#sk3' @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 124.26/16.24 Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y2 : a > a,Y3 : a]: 124.26/16.24 (Y2 @ 124.26/16.24 ((^[Y4 : a > a,Y5 : a]: 124.26/16.24 ('#sk3' @ 124.26/16.24 ((^[Y6 : a > a,Y7 : a]: (Y7)) @ Y4 @ Y5))) @ 124.26/16.24 Y2 @ Y3))) @ 124.26/16.24 Y1))) @ 124.26/16.24 Y0)))))), 124.26/16.24 inference('fluidSup-', [status(thm)], 124.26/16.24 [zip_derived_cl1472, zip_derived_cl28])). 124.26/16.24 thf(zip_derived_cl2194, plain, 124.26/16.24 (( ('#sk4' @ (^[Y0 : a]: ('#sk2' @ ('#sk3' @ Y0)))) 124.26/16.24 | ~ ('#sk4' @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: ('#sk4' @ (^[Y2 : a]: (Y1 @ ('#sk3' @ Y2))))) @ 124.26/16.24 ('#sk3' @ Y0))))))), 124.26/16.24 inference('ho_norm', [status(thm)], [zip_derived_cl1945])). 124.26/16.24 thf(zip_derived_cl14, plain, 124.26/16.24 (~ ('#sk4' @ (^[Y0 : a]: ('#sk2' @ ('#sk3' @ Y0))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 124.26/16.24 thf(zip_derived_cl2195, plain, 124.26/16.24 (~ ('#sk4' @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: ('#sk4' @ (^[Y2 : a]: (Y1 @ ('#sk3' @ Y2))))) @ 124.26/16.24 ('#sk3' @ Y0)))))), 124.26/16.24 inference('demod', [status(thm)], [zip_derived_cl2194, zip_derived_cl14])). 124.26/16.24 thf(zip_derived_cl1472, plain, ( ('#sk4' @ '#sk3')), 124.26/16.24 inference('clc', [status(thm)], [zip_derived_cl743, zip_derived_cl300])). 124.26/16.24 thf(zip_derived_cl27, plain, 124.26/16.24 (![X2 : (a > a) > $o]: 124.26/16.24 ( (X2 @ ('#sk15' @ X2)) | ~ (X2 @ (^[Y0 : a]: (Y0))) | (X2 @ '#sk2'))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 124.26/16.24 thf(zip_derived_cl1493, plain, 124.26/16.24 (( ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ 124.26/16.24 ((^[Y3 : a > a,Y4 : a]: 124.26/16.24 ('#sk3' @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 124.26/16.24 Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 '#sk2') 124.26/16.24 | ((^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ 124.26/16.24 ((^[Y3 : a > a,Y4 : a]: 124.26/16.24 ('#sk3' @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 124.26/16.24 Y1 @ Y2))) @ 124.26/16.24 Y0))) @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y0 : a > a]: 124.26/16.24 ('#sk4' @ 124.26/16.24 ((^[Y1 : a > a,Y2 : a]: 124.26/16.24 (Y1 @ 124.26/16.24 ((^[Y3 : a > a,Y4 : a]: 124.26/16.24 ('#sk3' @ ((^[Y5 : a > a,Y6 : a]: (Y6)) @ Y3 @ Y4))) @ 124.26/16.24 Y1 @ Y2))) @ 124.26/16.24 Y0))))))), 124.26/16.24 inference('sup-', [status(thm)], [zip_derived_cl1472, zip_derived_cl27])). 124.26/16.24 thf(zip_derived_cl1617, plain, 124.26/16.24 (( ('#sk4' @ (^[Y0 : a]: ('#sk2' @ ('#sk3' @ Y0)))) 124.26/16.24 | ('#sk4' @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: ('#sk4' @ (^[Y2 : a]: (Y1 @ ('#sk3' @ Y2))))) @ 124.26/16.24 ('#sk3' @ Y0)))))), 124.26/16.24 inference('ho_norm', [status(thm)], [zip_derived_cl1493])). 124.26/16.24 thf(zip_derived_cl14, plain, 124.26/16.24 (~ ('#sk4' @ (^[Y0 : a]: ('#sk2' @ ('#sk3' @ Y0))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 124.26/16.24 thf(zip_derived_cl1618, plain, 124.26/16.24 ( ('#sk4' @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: ('#sk4' @ (^[Y2 : a]: (Y1 @ ('#sk3' @ Y2))))) @ 124.26/16.24 ('#sk3' @ Y0))))), 124.26/16.24 inference('demod', [status(thm)], [zip_derived_cl1617, zip_derived_cl14])). 124.26/16.24 thf(zip_derived_cl24, plain, 124.26/16.24 (![X2 : a > a]: 124.26/16.24 (~ ('#sk4' @ X2) | ('#sk4' @ (^[Y0 : a]: ('#sk1' @ (X2 @ Y0)))))), 124.26/16.24 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 124.26/16.24 thf(zip_derived_cl9368, plain, 124.26/16.24 ( ('#sk4' @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 ((^[Y1 : a]: 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y2 : a > a]: ('#sk4' @ (^[Y3 : a]: (Y2 @ ('#sk3' @ Y3))))) @ 124.26/16.24 ('#sk3' @ Y1))) @ 124.26/16.24 Y0))))), 124.26/16.24 inference('sup-', [status(thm)], [zip_derived_cl1618, zip_derived_cl24])). 124.26/16.24 thf(zip_derived_cl9372, plain, 124.26/16.24 ( ('#sk4' @ 124.26/16.24 (^[Y0 : a]: 124.26/16.24 ('#sk1' @ 124.26/16.24 ('#sk15' @ 124.26/16.24 (^[Y1 : a > a]: ('#sk4' @ (^[Y2 : a]: (Y1 @ ('#sk3' @ Y2))))) @ 124.26/16.24 ('#sk3' @ Y0)))))), 124.26/16.24 inference('ho_norm', [status(thm)], [zip_derived_cl9368])). 124.26/16.24 thf(zip_derived_cl10115, plain, ($false), 124.26/16.24 inference('demod', [status(thm)], 124.26/16.24 [zip_derived_cl2195, zip_derived_cl9372])). 124.26/16.24 124.26/16.24 % SZS output end Refutation 124.26/16.24 124.26/16.24 124.26/16.24 % Terminating... 124.27/16.30 % Runner terminated. 124.30/16.31 % Zipperpin 1.5 exiting 124.30/16.31 EOF