0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6RboBvDEsn true 0.11/0.31 % Computer : n015.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Aug 9 02:18:11 EDT 2022 0.11/0.31 % CPUTime : 0.11/0.31 % Running portfolio for 960 s 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.31 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.43/0.61 % Total configuration time : 828 0.43/0.61 % Estimated wc time : 1656 0.43/0.61 % Estimated cpu time (8 cpus) : 207.0 0.47/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.47/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.49/0.96 % Solved by lams/30_sp5.sh. 0.49/0.96 % done 153 iterations in 0.201s 0.49/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.49/0.96 % SZS output start Refutation 0.49/0.96 thf(d_type, type, d: $i). 0.49/0.96 thf(cQ_1_type, type, cQ_1: $i > $i > $i > $o). 0.49/0.96 thf(cQ_4_type, type, cQ_4: $i > $i > $i > $o). 0.49/0.96 thf(cP_2_type, type, cP_2: $i > $i > $o). 0.49/0.96 thf(cP_3_type, type, cP_3: $i > $i > $o). 0.49/0.96 thf(b_type, type, b: $i). 0.49/0.96 thf(cQ_2_type, type, cQ_2: $i > $i > $i > $o). 0.49/0.96 thf(a_type, type, a: $i). 0.49/0.96 thf(c_type, type, c: $i). 0.49/0.96 thf(cQ_3_type, type, cQ_3: $i > $i > $i > $o). 0.49/0.96 thf(cP_1_type, type, cP_1: $i > $i > $o). 0.49/0.96 thf(f_type, type, f: $i > $i). 0.49/0.96 thf(cTHM409_3, conjecture, 0.49/0.96 (~( ( cQ_1 @ a @ b @ c ) & ( cP_1 @ a @ a ) & ( cP_1 @ b @ b ) & 0.49/0.96 ( cP_1 @ c @ c ) & 0.49/0.96 ( ![Xx:$i,Xy:$i]: 0.49/0.96 ( ( cP_1 @ ( f @ Xx ) @ Xy ) | ( ~( cP_1 @ Xx @ Xy ) ) ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i,Xu:$i,Xv:$i,Xw:$i]: 0.49/0.96 ( ( cQ_2 @ Xu @ Xv @ Xw ) | ( ~( cP_1 @ ( f @ Xz ) @ Xw ) ) | 0.49/0.96 ( ~( cP_1 @ ( f @ Xy ) @ Xv ) ) | 0.49/0.96 ( ~( cP_1 @ ( f @ Xx ) @ Xu ) ) | ( ~( cQ_1 @ Xx @ Xy @ Xz ) ) ) ) & 0.49/0.96 ( cP_2 @ b @ b ) & 0.49/0.96 ( ![Xx:$i,Xy:$i]: 0.49/0.96 ( ( ~( cP_2 @ Xx @ Xy ) ) | ( cP_2 @ ( f @ Xx ) @ Xy ) ) ) & 0.49/0.96 ( cP_3 @ b @ b ) & ( ![Xx:$i]: ( cP_3 @ d @ Xx ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i]: ( ~( cQ_4 @ Xx @ Xy @ Xz ) ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i,Xu:$i,Xv:$i,Xw:$i]: 0.49/0.96 ( ( ~( cQ_3 @ Xx @ Xy @ Xz ) ) | ( ~( cP_3 @ ( f @ Xx ) @ Xu ) ) | 0.49/0.96 ( ~( cP_3 @ ( f @ Xy ) @ Xv ) ) | ( cQ_4 @ Xu @ Xv @ Xw ) | 0.49/0.96 ( ~( cP_3 @ ( f @ Xz ) @ Xw ) ) ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i]: 0.49/0.96 ( ( cP_3 @ ( f @ Xx ) @ Xy ) | ( ~( cP_3 @ Xx @ Xy ) ) ) ) & 0.49/0.96 ( cP_3 @ c @ c ) & ( cP_3 @ a @ a ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i,Xu:$i,Xv:$i,Xw:$i]: 0.49/0.96 ( ( ~( cQ_2 @ Xx @ Xy @ Xz ) ) | ( ~( cP_2 @ ( f @ Xy ) @ Xv ) ) | 0.49/0.96 ( cQ_3 @ Xu @ Xv @ Xw ) | ( ~( cP_2 @ ( f @ Xz ) @ Xw ) ) | 0.49/0.96 ( ~( cP_2 @ ( f @ Xx ) @ Xu ) ) ) ) & 0.49/0.96 ( ![Xx:$i]: ( cP_2 @ d @ Xx ) ) & ( cP_2 @ c @ c ) & 0.49/0.96 ( cP_2 @ a @ a ) & ( ![Xx:$i]: ( cP_1 @ d @ Xx ) ) ))). 0.49/0.96 thf(zf_stmt_0, negated_conjecture, 0.49/0.96 (( cQ_1 @ a @ b @ c ) & ( cP_1 @ a @ a ) & ( cP_1 @ b @ b ) & 0.49/0.96 ( cP_1 @ c @ c ) & 0.49/0.96 ( ![Xx:$i,Xy:$i]: ( ( cP_1 @ ( f @ Xx ) @ Xy ) | ( ~( cP_1 @ Xx @ Xy ) ) ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i,Xu:$i,Xv:$i,Xw:$i]: 0.49/0.96 ( ( cQ_2 @ Xu @ Xv @ Xw ) | ( ~( cP_1 @ ( f @ Xz ) @ Xw ) ) | 0.49/0.96 ( ~( cP_1 @ ( f @ Xy ) @ Xv ) ) | ( ~( cP_1 @ ( f @ Xx ) @ Xu ) ) | 0.49/0.96 ( ~( cQ_1 @ Xx @ Xy @ Xz ) ) ) ) & 0.49/0.96 ( cP_2 @ b @ b ) & 0.49/0.96 ( ![Xx:$i,Xy:$i]: ( ( ~( cP_2 @ Xx @ Xy ) ) | ( cP_2 @ ( f @ Xx ) @ Xy ) ) ) & 0.49/0.96 ( cP_3 @ b @ b ) & ( ![Xx:$i]: ( cP_3 @ d @ Xx ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i]: ( ~( cQ_4 @ Xx @ Xy @ Xz ) ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i,Xu:$i,Xv:$i,Xw:$i]: 0.49/0.96 ( ( ~( cQ_3 @ Xx @ Xy @ Xz ) ) | ( ~( cP_3 @ ( f @ Xx ) @ Xu ) ) | 0.49/0.96 ( ~( cP_3 @ ( f @ Xy ) @ Xv ) ) | ( cQ_4 @ Xu @ Xv @ Xw ) | 0.49/0.96 ( ~( cP_3 @ ( f @ Xz ) @ Xw ) ) ) ) & 0.49/0.96 ( ![Xx:$i,Xy:$i]: ( ( cP_3 @ ( f @ Xx ) @ Xy ) | ( ~( cP_3 @ Xx @ Xy ) ) ) ) & 0.49/0.96 ( cP_3 @ c @ c ) & ( cP_3 @ a @ a ) & 0.49/0.96 ( ![Xx:$i,Xy:$i,Xz:$i,Xu:$i,Xv:$i,Xw:$i]: 0.49/0.96 ( ( ~( cQ_2 @ Xx @ Xy @ Xz ) ) | ( ~( cP_2 @ ( f @ Xy ) @ Xv ) ) | 0.49/0.96 ( cQ_3 @ Xu @ Xv @ Xw ) | ( ~( cP_2 @ ( f @ Xz ) @ Xw ) ) | 0.49/0.96 ( ~( cP_2 @ ( f @ Xx ) @ Xu ) ) ) ) & 0.49/0.96 ( ![Xx:$i]: ( cP_2 @ d @ Xx ) ) & ( cP_2 @ c @ c ) & ( cP_2 @ a @ a ) & 0.49/0.96 ( ![Xx:$i]: ( cP_1 @ d @ Xx ) )), 0.49/0.96 inference('cnf.neg', [status(esa)], [cTHM409_3])). 0.49/0.96 thf(zip_derived_cl0, plain, 0.49/0.96 ( (((cQ_1 @ a @ b @ c) & (cP_1 @ a @ a) & (cP_1 @ b @ b) & 0.49/0.96 (cP_1 @ c @ c) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((cP_1 @ (f @ Y0) @ Y1) | 0.49/0.96 (((~) @ (cP_1 @ Y0 @ Y1))))))))))) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (!!) @ ( 0.49/0.96 ^[Y5 : $i]: 0.49/0.96 (( 0.49/0.96 ( 0.49/0.96 cQ_2 @ 0.49/0.96 Y3 @ 0.49/0.96 Y4 @ Y5) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y2) @ 0.49/0.96 Y5))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_1 @ 0.49/0.96 Y0 @ 0.49/0.96 Y1 @ Y2))))))))))))))))))))))) & 0.49/0.96 (cP_2 @ b @ b) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((((~) @ (cP_2 @ Y0 @ Y1))) | (cP_2 @ 0.49/0.96 (f @ Y0) @ Y1))))))))) & 0.49/0.96 (cP_3 @ b @ b) & (((!!) @ (^[Y0 : $i]: (cP_3 @ d @ Y0)))) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((~) @ (cQ_4 @ Y0 @ Y1 @ Y2)))))))))))) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (!!) @ ( 0.49/0.96 ^[Y5 : $i]: 0.49/0.96 (( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_3 @ 0.49/0.96 Y0 @ 0.49/0.96 Y1 @ Y2))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 cQ_4 @ 0.49/0.96 Y3 @ 0.49/0.96 Y4 @ Y5) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y2) @ 0.49/0.96 Y5))))))))))))))))))))))) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((cP_3 @ (f @ Y0) @ Y1) | 0.49/0.96 (((~) @ (cP_3 @ Y0 @ Y1))))))))))) & 0.49/0.96 (cP_3 @ c @ c) & (cP_3 @ a @ a) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (!!) @ ( 0.49/0.96 ^[Y5 : $i]: 0.49/0.96 (( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_2 @ 0.49/0.96 Y0 @ 0.49/0.96 Y1 @ Y2))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 cQ_3 @ 0.49/0.96 Y3 @ 0.49/0.96 Y4 @ Y5) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y2) @ 0.49/0.96 Y5))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))))))))))))))))))))))) & 0.49/0.96 (((!!) @ (^[Y0 : $i]: (cP_2 @ d @ Y0)))) & (cP_2 @ c @ c) & 0.49/0.96 (cP_2 @ a @ a) & (((!!) @ (^[Y0 : $i]: (cP_1 @ d @ Y0))))))), 0.49/0.96 inference('cnf', [status(esa)], [zf_stmt_0])). 0.49/0.96 thf(zip_derived_cl9, plain, ( (cP_3 @ b @ b)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl15, plain, ( (cP_3 @ a @ a)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl13, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((cP_3 @ (f @ Y0) @ Y1) | 0.49/0.96 (((~) @ (cP_3 @ Y0 @ Y1)))))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl27, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((cP_3 @ (f @ X2) @ Y0) | (((~) @ (cP_3 @ X2 @ Y0))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 0.49/0.96 thf(zip_derived_cl36, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((cP_3 @ (f @ X2) @ X4) | (((~) @ (cP_3 @ X2 @ X4)))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 0.49/0.96 thf(zip_derived_cl43, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: ( (cP_3 @ (f @ X2) @ X4) | ~ (cP_3 @ X2 @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])). 0.49/0.96 thf(zip_derived_cl43, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: ( (cP_3 @ (f @ X2) @ X4) | ~ (cP_3 @ X2 @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])). 0.49/0.96 thf(zip_derived_cl7, plain, ( (cP_2 @ b @ b)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl18, plain, ( (cP_2 @ c @ c)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl8, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((((~) @ (cP_2 @ Y0 @ Y1))) | (cP_2 @ 0.49/0.96 (f @ Y0) @ Y1)))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl23, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((((~) @ (cP_2 @ X2 @ Y0))) | (cP_2 @ (f @ X2) @ Y0))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 0.49/0.96 thf(zip_derived_cl33, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((((~) @ (cP_2 @ X2 @ X4))) | (cP_2 @ (f @ X2) @ X4)))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 0.49/0.96 thf(zip_derived_cl40, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: (~ (cP_2 @ X2 @ X4) | (cP_2 @ (f @ X2) @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl33])). 0.49/0.96 thf(zip_derived_cl40, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: (~ (cP_2 @ X2 @ X4) | (cP_2 @ (f @ X2) @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl33])). 0.49/0.96 thf(zip_derived_cl40, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: (~ (cP_2 @ X2 @ X4) | (cP_2 @ (f @ X2) @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl33])). 0.49/0.96 thf(zip_derived_cl2, plain, ( (cP_1 @ a @ a)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl5, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((cP_1 @ (f @ Y0) @ Y1) | 0.49/0.96 (((~) @ (cP_1 @ Y0 @ Y1)))))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl21, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((cP_1 @ (f @ X2) @ Y0) | (((~) @ (cP_1 @ X2 @ Y0))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 0.49/0.96 thf(zip_derived_cl31, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((cP_1 @ (f @ X2) @ X4) | (((~) @ (cP_1 @ X2 @ X4)))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 0.49/0.96 thf(zip_derived_cl38, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: ( (cP_1 @ (f @ X2) @ X4) | ~ (cP_1 @ X2 @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 0.49/0.96 thf(zip_derived_cl38, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: ( (cP_1 @ (f @ X2) @ X4) | ~ (cP_1 @ X2 @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 0.49/0.96 thf(zip_derived_cl1, plain, ( (cQ_1 @ a @ b @ c)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl38, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: ( (cP_1 @ (f @ X2) @ X4) | ~ (cP_1 @ X2 @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 0.49/0.96 thf(zip_derived_cl6, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 (((!!) @ ( 0.49/0.96 ^[Y5 : $i]: 0.49/0.96 (( 0.49/0.96 ( 0.49/0.96 cQ_2 @ 0.49/0.96 Y3 @ 0.49/0.96 Y4 @ Y5) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y2) @ 0.49/0.96 Y5))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_1 @ 0.49/0.96 Y0 @ 0.49/0.96 Y1 @ Y2)))))))))))))))))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl22, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 cQ_2 @ 0.49/0.96 Y2 @ 0.49/0.96 Y3 @ Y4) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_1 @ 0.49/0.96 ( 0.49/0.96 f @ X2) @ 0.49/0.96 Y2))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_1 @ 0.49/0.96 X2 @ 0.49/0.96 Y0 @ Y1))))))))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 0.49/0.96 thf(zip_derived_cl32, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((cQ_2 @ Y1 @ Y2 @ 0.49/0.96 Y3) | 0.49/0.96 (((~) @ (cP_1 @ 0.49/0.96 (f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 (((~) @ (cP_1 @ 0.49/0.96 (f @ X4) @ 0.49/0.96 Y2))) | 0.49/0.96 (((~) @ (cP_1 @ 0.49/0.96 (f @ X2) @ 0.49/0.96 Y1))) | 0.49/0.96 (((~) @ (cQ_1 @ 0.49/0.96 X2 @ X4 @ 0.49/0.96 Y0)))))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 0.49/0.96 thf(zip_derived_cl39, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((cQ_2 @ Y0 @ Y1 @ Y2) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X6) @ Y2))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X4) @ Y1))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X2) @ Y0))) | 0.49/0.96 (((~) @ (cQ_1 @ X2 @ X4 @ X6))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 0.49/0.96 thf(zip_derived_cl45, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((cQ_2 @ X8 @ Y0 @ Y1) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X6) @ Y1))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X4) @ Y0))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X2) @ X8))) | 0.49/0.96 (((~) @ (cQ_1 @ X2 @ X4 @ X6)))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 0.49/0.96 thf(zip_derived_cl48, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((cQ_2 @ X8 @ X10 @ Y0) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X6) @ Y0))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X4) @ X10))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X2) @ X8))) | 0.49/0.96 (((~) @ (cQ_1 @ X2 @ X4 @ X6))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 0.49/0.96 thf(zip_derived_cl51, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 (((cQ_2 @ X8 @ X10 @ X12) | (((~) @ (cP_1 @ (f @ X6) @ X12))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X4) @ X10))) | 0.49/0.96 (((~) @ (cP_1 @ (f @ X2) @ X8))) | (((~) @ (cQ_1 @ X2 @ X4 @ X6)))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl48])). 0.49/0.96 thf(zip_derived_cl54, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 ( (cQ_2 @ X8 @ X10 @ X12) 0.49/0.96 | ~ (cP_1 @ (f @ X6) @ X12) 0.49/0.96 | ~ (cP_1 @ (f @ X4) @ X10) 0.49/0.96 | ~ (cP_1 @ (f @ X2) @ X8) 0.49/0.96 | ~ (cQ_1 @ X2 @ X4 @ X6))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])). 0.49/0.96 thf(zip_derived_cl58, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 0.49/0.96 (~ (cP_1 @ X1 @ X0) 0.49/0.96 | ~ (cQ_1 @ X3 @ X2 @ X1) 0.49/0.96 | ~ (cP_1 @ (f @ X3) @ X4) 0.49/0.96 | ~ (cP_1 @ (f @ X2) @ X5) 0.49/0.96 | (cQ_2 @ X4 @ X5 @ X0))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl54])). 0.49/0.96 thf(zip_derived_cl70, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i]: 0.49/0.96 ( (cQ_2 @ X2 @ X1 @ X0) 0.49/0.96 | ~ (cP_1 @ (f @ b) @ X1) 0.49/0.96 | ~ (cP_1 @ (f @ a) @ X2) 0.49/0.96 | ~ (cP_1 @ c @ X0))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl58])). 0.49/0.96 thf(zip_derived_cl72, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i]: 0.49/0.96 (~ (cP_1 @ b @ X0) 0.49/0.96 | ~ (cP_1 @ c @ X1) 0.49/0.96 | ~ (cP_1 @ (f @ a) @ X2) 0.49/0.96 | (cQ_2 @ X2 @ X0 @ X1))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl70])). 0.49/0.96 thf(zip_derived_cl74, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i]: 0.49/0.96 (~ (cP_1 @ a @ X0) 0.49/0.96 | (cQ_2 @ X0 @ X2 @ X1) 0.49/0.96 | ~ (cP_1 @ c @ X1) 0.49/0.96 | ~ (cP_1 @ b @ X2))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl72])). 0.49/0.96 thf(zip_derived_cl76, plain, 0.49/0.96 (![X0 : $i, X1 : $i]: 0.49/0.96 (~ (cP_1 @ b @ X0) | ~ (cP_1 @ c @ X1) | (cQ_2 @ a @ X0 @ X1))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl74])). 0.49/0.96 thf(zip_derived_cl16, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 (((!!) @ ( 0.49/0.96 ^[Y5 : $i]: 0.49/0.96 (( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_2 @ 0.49/0.96 Y0 @ 0.49/0.96 Y1 @ Y2))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 cQ_3 @ 0.49/0.96 Y3 @ 0.49/0.96 Y4 @ Y5) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y2) @ 0.49/0.96 Y5))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3)))))))))))))))))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl28, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_2 @ 0.49/0.96 X2 @ 0.49/0.96 Y0 @ Y1))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 cQ_3 @ 0.49/0.96 Y2 @ 0.49/0.96 Y3 @ Y4) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_2 @ 0.49/0.96 ( 0.49/0.96 f @ X2) @ 0.49/0.96 Y2))))))))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 0.49/0.96 thf(zip_derived_cl37, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((((~) @ (cQ_2 @ 0.49/0.96 X2 @ X4 @ 0.49/0.96 Y0))) | 0.49/0.96 (((~) @ (cP_2 @ 0.49/0.96 (f @ X4) @ 0.49/0.96 Y2))) | 0.49/0.96 (cQ_3 @ Y1 @ Y2 @ 0.49/0.96 Y3) | 0.49/0.96 (((~) @ (cP_2 @ 0.49/0.96 (f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 (((~) @ (cP_2 @ 0.49/0.96 (f @ X2) @ 0.49/0.96 Y1)))))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 0.49/0.96 thf(zip_derived_cl44, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((((~) @ (cQ_2 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X4) @ Y1))) | 0.49/0.96 (cQ_3 @ Y0 @ Y1 @ Y2) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X6) @ Y2))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X2) @ Y0))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 0.49/0.96 thf(zip_derived_cl47, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((((~) @ (cQ_2 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X4) @ Y0))) | 0.49/0.96 (cQ_3 @ X8 @ Y0 @ Y1) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X6) @ Y1))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X2) @ X8)))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 0.49/0.96 thf(zip_derived_cl50, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((((~) @ (cQ_2 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X4) @ X10))) | 0.49/0.96 (cQ_3 @ X8 @ X10 @ Y0) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X6) @ Y0))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X2) @ X8))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])). 0.49/0.96 thf(zip_derived_cl53, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 (((((~) @ (cQ_2 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X4) @ X10))) | (cQ_3 @ X8 @ X10 @ X12) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X6) @ X12))) | 0.49/0.96 (((~) @ (cP_2 @ (f @ X2) @ X8)))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 0.49/0.96 thf(zip_derived_cl56, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 (~ (cQ_2 @ X2 @ X4 @ X6) 0.49/0.96 | ~ (cP_2 @ (f @ X4) @ X10) 0.49/0.96 | (cQ_3 @ X8 @ X10 @ X12) 0.49/0.96 | ~ (cP_2 @ (f @ X6) @ X12) 0.49/0.96 | ~ (cP_2 @ (f @ X2) @ X8))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl53])). 0.49/0.96 thf(zip_derived_cl78, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.49/0.96 (~ (cP_1 @ c @ X0) 0.49/0.96 | ~ (cP_1 @ b @ X1) 0.49/0.96 | ~ (cP_2 @ (f @ a) @ X2) 0.49/0.96 | ~ (cP_2 @ (f @ X0) @ X3) 0.49/0.96 | (cQ_3 @ X2 @ X4 @ X3) 0.49/0.96 | ~ (cP_2 @ (f @ X1) @ X4))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl56])). 0.49/0.96 thf(zip_derived_cl80, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.49/0.96 (~ (cP_2 @ a @ X0) 0.49/0.96 | ~ (cP_2 @ (f @ X2) @ X1) 0.49/0.96 | (cQ_3 @ X0 @ X1 @ X3) 0.49/0.96 | ~ (cP_2 @ (f @ X4) @ X3) 0.49/0.96 | ~ (cP_1 @ b @ X2) 0.49/0.96 | ~ (cP_1 @ c @ X4))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl78])). 0.49/0.96 thf(zip_derived_cl100, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.49/0.96 (~ (cP_2 @ X1 @ X0) 0.49/0.96 | ~ (cP_1 @ c @ X2) 0.49/0.96 | ~ (cP_1 @ b @ X1) 0.49/0.96 | ~ (cP_2 @ (f @ X2) @ X3) 0.49/0.96 | (cQ_3 @ X4 @ X0 @ X3) 0.49/0.96 | ~ (cP_2 @ a @ X4))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl80])). 0.49/0.96 thf(zip_derived_cl153, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.49/0.96 (~ (cP_2 @ X1 @ X0) 0.49/0.96 | ~ (cP_2 @ a @ X2) 0.49/0.96 | (cQ_3 @ X2 @ X3 @ X0) 0.49/0.96 | ~ (cP_1 @ b @ X4) 0.49/0.96 | ~ (cP_1 @ c @ X1) 0.49/0.96 | ~ (cP_2 @ X4 @ X3))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl100])). 0.49/0.96 thf(zip_derived_cl188, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i]: 0.49/0.96 (~ (cP_2 @ X1 @ X0) 0.49/0.96 | ~ (cP_1 @ c @ c) 0.49/0.96 | ~ (cP_1 @ b @ X1) 0.49/0.96 | (cQ_3 @ X2 @ X0 @ c) 0.49/0.96 | ~ (cP_2 @ a @ X2))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl153])). 0.49/0.96 thf(zip_derived_cl4, plain, ( (cP_1 @ c @ c)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl200, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i]: 0.49/0.96 (~ (cP_2 @ X1 @ X0) 0.49/0.96 | ~ (cP_1 @ b @ X1) 0.49/0.96 | (cQ_3 @ X2 @ X0 @ c) 0.49/0.96 | ~ (cP_2 @ a @ X2))), 0.49/0.96 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl4])). 0.49/0.96 thf(zip_derived_cl203, plain, 0.49/0.96 (![X0 : $i]: 0.49/0.96 (~ (cP_2 @ a @ X0) | (cQ_3 @ X0 @ b @ c) | ~ (cP_1 @ b @ b))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl200])). 0.49/0.96 thf(zip_derived_cl3, plain, ( (cP_1 @ b @ b)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl212, plain, 0.49/0.96 (![X0 : $i]: (~ (cP_2 @ a @ X0) | (cQ_3 @ X0 @ b @ c))), 0.49/0.96 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl3])). 0.49/0.96 thf(zip_derived_cl43, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: ( (cP_3 @ (f @ X2) @ X4) | ~ (cP_3 @ X2 @ X4))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])). 0.49/0.96 thf(zip_derived_cl12, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 (((!!) @ ( 0.49/0.96 ^[Y5 : $i]: 0.49/0.96 (( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_3 @ 0.49/0.96 Y0 @ 0.49/0.96 Y1 @ Y2))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))) | 0.49/0.96 ( 0.49/0.96 cQ_4 @ 0.49/0.96 Y3 @ 0.49/0.96 Y4 @ Y5) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y2) @ 0.49/0.96 Y5)))))))))))))))))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl26, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((!!) @ (^[Y4 : $i]: 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cQ_3 @ 0.49/0.96 X2 @ 0.49/0.96 Y0 @ Y1))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ X2) @ 0.49/0.96 Y2))) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y0) @ 0.49/0.96 Y3))) | 0.49/0.96 ( 0.49/0.96 cQ_4 @ 0.49/0.96 Y2 @ 0.49/0.96 Y3 @ Y4) | 0.49/0.96 ( 0.49/0.96 ( 0.49/0.96 (~) @ ( 0.49/0.96 cP_3 @ 0.49/0.96 ( 0.49/0.96 f @ Y1) @ 0.49/0.96 Y4))))))))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 0.49/0.96 thf(zip_derived_cl35, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((!!) @ (^[Y3 : $i]: 0.49/0.96 (((((~) @ (cQ_3 @ 0.49/0.96 X2 @ X4 @ 0.49/0.96 Y0))) | 0.49/0.96 (((~) @ (cP_3 @ 0.49/0.96 (f @ X2) @ 0.49/0.96 Y1))) | 0.49/0.96 (((~) @ (cP_3 @ 0.49/0.96 (f @ X4) @ 0.49/0.96 Y2))) | 0.49/0.96 (cQ_4 @ Y1 @ Y2 @ 0.49/0.96 Y3) | 0.49/0.96 (((~) @ (cP_3 @ 0.49/0.96 (f @ Y0) @ 0.49/0.96 Y3)))))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])). 0.49/0.96 thf(zip_derived_cl42, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((((~) @ (cQ_3 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X2) @ Y0))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X4) @ Y1))) | 0.49/0.96 (cQ_4 @ Y0 @ Y1 @ Y2) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X6) @ Y2))))))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 0.49/0.96 thf(zip_derived_cl46, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((((~) @ (cQ_3 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X2) @ X8))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X4) @ Y0))) | 0.49/0.96 (cQ_4 @ X8 @ Y0 @ Y1) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X6) @ Y1)))))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 0.49/0.96 thf(zip_derived_cl49, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((((~) @ (cQ_3 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X2) @ X8))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X4) @ X10))) | 0.49/0.96 (cQ_4 @ X8 @ X10 @ Y0) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X6) @ Y0))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl46])). 0.49/0.96 thf(zip_derived_cl52, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 (((((~) @ (cQ_3 @ X2 @ X4 @ X6))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X2) @ X8))) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X4) @ X10))) | (cQ_4 @ X8 @ X10 @ X12) | 0.49/0.96 (((~) @ (cP_3 @ (f @ X6) @ X12)))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 0.49/0.96 thf(zip_derived_cl55, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 (~ (cQ_3 @ X2 @ X4 @ X6) 0.49/0.96 | ~ (cP_3 @ (f @ X2) @ X8) 0.49/0.96 | ~ (cP_3 @ (f @ X4) @ X10) 0.49/0.96 | (cQ_4 @ X8 @ X10 @ X12) 0.49/0.96 | ~ (cP_3 @ (f @ X6) @ X12))), 0.49/0.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl52])). 0.49/0.96 thf(zip_derived_cl11, plain, 0.49/0.96 ( (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: 0.49/0.96 (((!!) @ (^[Y2 : $i]: 0.49/0.96 (((~) @ (cQ_4 @ Y0 @ Y1 @ Y2))))))))))))), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl25, plain, 0.49/0.96 (![X2 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: 0.49/0.96 (((!!) @ (^[Y1 : $i]: (((~) @ (cQ_4 @ X2 @ Y0 @ Y1)))))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 0.49/0.96 thf(zip_derived_cl34, plain, 0.49/0.96 (![X2 : $i, X4 : $i]: 0.49/0.96 (((!!) @ (^[Y0 : $i]: (((~) @ (cQ_4 @ X2 @ X4 @ Y0))))))), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 0.49/0.96 thf(zip_derived_cl41, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i]: ~ (cQ_4 @ X2 @ X4 @ X6)), 0.49/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 0.49/0.96 thf(zip_derived_cl57, plain, 0.49/0.96 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i, X12 : $i]: 0.49/0.96 (~ (cP_3 @ (f @ X6) @ X12) 0.49/0.96 | ~ (cP_3 @ (f @ X4) @ X10) 0.49/0.96 | ~ (cP_3 @ (f @ X2) @ X8) 0.49/0.96 | ~ (cQ_3 @ X2 @ X4 @ X6))), 0.49/0.96 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl41])). 0.49/0.96 thf(zip_derived_cl64, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 0.49/0.96 (~ (cP_3 @ X1 @ X0) 0.49/0.96 | ~ (cQ_3 @ X3 @ X2 @ X1) 0.49/0.96 | ~ (cP_3 @ (f @ X3) @ X4) 0.49/0.96 | ~ (cP_3 @ (f @ X2) @ X5))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl57])). 0.49/0.96 thf(zip_derived_cl215, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 0.49/0.96 (~ (cP_2 @ a @ X0) 0.49/0.96 | ~ (cP_3 @ (f @ b) @ X1) 0.49/0.96 | ~ (cP_3 @ (f @ X0) @ X2) 0.49/0.96 | ~ (cP_3 @ c @ X3))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl64])). 0.49/0.96 thf(zip_derived_cl230, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 0.49/0.96 (~ (cP_3 @ b @ X0) 0.49/0.96 | ~ (cP_3 @ c @ X1) 0.49/0.96 | ~ (cP_3 @ (f @ X3) @ X2) 0.49/0.96 | ~ (cP_2 @ a @ X3))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl215])). 0.49/0.96 thf(zip_derived_cl236, plain, 0.49/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 0.49/0.96 (~ (cP_3 @ X1 @ X0) 0.49/0.96 | ~ (cP_2 @ a @ X1) 0.49/0.96 | ~ (cP_3 @ c @ X2) 0.49/0.96 | ~ (cP_3 @ b @ X3))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl230])). 0.49/0.96 thf(zip_derived_cl238, plain, 0.49/0.96 (![X0 : $i, X1 : $i]: 0.49/0.96 (~ (cP_3 @ b @ X0) | ~ (cP_3 @ c @ X1) | ~ (cP_2 @ a @ a))), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl236])). 0.49/0.96 thf(zip_derived_cl19, plain, ( (cP_2 @ a @ a)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl252, plain, 0.49/0.96 (![X0 : $i, X1 : $i]: (~ (cP_3 @ b @ X0) | ~ (cP_3 @ c @ X1))), 0.49/0.96 inference('demod', [status(thm)], [zip_derived_cl238, zip_derived_cl19])). 0.49/0.96 thf(zip_derived_cl254, plain, (![X0 : $i]: ~ (cP_3 @ c @ X0)), 0.49/0.96 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl252])). 0.49/0.96 thf(zip_derived_cl14, plain, ( (cP_3 @ c @ c)), 0.49/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 0.49/0.96 thf(zip_derived_cl256, plain, ($false), 0.49/0.96 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl14])). 0.49/0.96 0.49/0.96 % SZS output end Refutation 0.49/0.96 0.49/0.96 0.49/0.96 % Terminating... 0.52/1.02 % Runner terminated. 0.52/1.04 % Zipperpin 1.5 exiting 0.52/1.05 EOF