0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.swKz0nc9N4 true 0.03/0.29 % Computer : n024.cluster.edu 0.03/0.29 % Model : x86_64 x86_64 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.03/0.29 % Memory : 8046.5625MB 0.03/0.29 % OS : Linux 6.8.0-71-generic 0.03/0.29 % CPULimit : 1440 0.03/0.29 % WCLimit : 180 0.03/0.29 % DateTime : Mon Jul 27 04:02:01 UTC 2026 0.03/0.30 % CPUTime : 0.03/0.30 % Running portfolio for 1440 s 0.03/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.03/0.30 % Number of cores: 8 0.03/0.31 % Python version: Python 3.12.3 0.03/0.31 % Running in HO mode 0.16/0.48 % Total configuration time : 828 0.16/0.48 % Estimated wc time : 1656 0.16/0.48 % Estimated cpu time (8 cpus) : 207.0 0.72/0.55 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.72/0.55 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.72/0.56 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.72/0.56 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.72/0.56 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.72/0.56 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.72/0.57 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.72/0.61 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.72/0.61 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 1.17/0.90 % Solved by lams/40_noforms.sh. 1.17/0.90 % done 330 iterations in 0.320s 1.17/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.17/0.90 % SZS output start Refutation 1.17/0.90 thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o). 1.17/0.90 thf(a2_type, type, a2: $i > $o). 1.17/0.90 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.17/0.90 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 1.17/0.90 thf(a1_type, type, a1: $i > $o). 1.17/0.90 thf(sk__3_type, type, sk__3: $i). 1.17/0.90 thf(irel_type, type, irel: $i > $i > $o). 1.17/0.90 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.17/0.90 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 1.17/0.90 thf(sk__2_type, type, sk__2: $i > $i). 1.17/0.90 thf(iatom_type, type, iatom: ($i > $o) > $i > $o). 1.17/0.90 thf(b1_type, type, b1: $i > $o). 1.17/0.90 thf(a_type, type, a: $i > $o). 1.17/0.90 thf(sk__5_type, type, sk__5: $i). 1.17/0.90 thf(sk__4_type, type, sk__4: $i). 1.17/0.90 thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o). 1.17/0.90 thf(b_type, type, b: $i > $o). 1.17/0.90 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 1.17/0.90 thf(sk__6_type, type, sk__6: $i). 1.17/0.90 thf(ivalid_type, type, ivalid: ($i > $o) > $o). 1.17/0.90 thf(sk__7_type, type, sk__7: $i). 1.17/0.90 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.17/0.90 thf(ivalid, axiom,(( ivalid ) = 1.17/0.90 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 1.17/0.90 thf('0', plain, 1.17/0.90 (( ivalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [ivalid])). 1.17/0.90 thf('1', plain, 1.17/0.90 (( ivalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf(ior, axiom,(( ior ) = 1.17/0.90 (^[P:( $i > $o ),Q:( $i > $o )]: 1.17/0.90 ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))). 1.17/0.90 thf(mbox_s4, axiom,(( mbox_s4 ) = 1.17/0.90 (^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) )))). 1.17/0.90 thf('2', plain, 1.17/0.90 (( mbox_s4 ) = 1.17/0.90 ( ^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 1.17/0.90 thf('3', plain, 1.17/0.90 (( mbox_s4 ) = 1.17/0.90 ( ^[V_1:( $i > $o ),V_2:$i]: 1.17/0.90 ( ![X4:$i]: ( ( irel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf(mor, axiom,(( mor ) = 1.17/0.90 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))). 1.17/0.90 thf('4', plain, 1.17/0.90 (( mor ) = 1.17/0.90 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [mor])). 1.17/0.90 thf('5', plain, 1.17/0.90 (( mor ) = 1.17/0.90 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 1.17/0.90 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf('6', plain, 1.17/0.90 (( ior ) = 1.17/0.90 ( ^[P:( $i > $o ),Q:( $i > $o )]: 1.17/0.90 ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [ior, '3', '5'])). 1.17/0.90 thf('7', plain, 1.17/0.90 (( ior ) = 1.17/0.90 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 1.17/0.90 ( mor @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf(iand, axiom,(( iand ) = 1.17/0.90 (^[P:( $i > $o ),Q:( $i > $o )]: ( mand @ P @ Q )))). 1.17/0.90 thf(mand, axiom,(( mand ) = 1.17/0.90 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) )))). 1.17/0.90 thf('8', plain, 1.17/0.90 (( mand ) = 1.17/0.90 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [mand])). 1.17/0.90 thf('9', plain, 1.17/0.90 (( mand ) = 1.17/0.90 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 1.17/0.90 ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf('10', plain, 1.17/0.90 (( iand ) = ( ^[P:( $i > $o ),Q:( $i > $o )]: ( mand @ P @ Q ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [iand, '9'])). 1.17/0.90 thf('11', plain, 1.17/0.90 (( iand ) = ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mand @ V_1 @ V_2 ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf(iatom, axiom,(( iatom ) = (^[P:( $i > $o )]: ( P )))). 1.17/0.90 thf('12', plain, (( iatom ) = ( ^[P:( $i > $o )]: ( P ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [iatom])). 1.17/0.90 thf('13', plain, (( iatom ) = ( ^[V_1:( $i > $o )]: ( V_1 ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf(con, conjecture, 1.17/0.90 (ivalid @ 1.17/0.90 ( ior @ 1.17/0.90 ( iatom @ a ) @ 1.17/0.90 ( ior @ 1.17/0.90 ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ 1.17/0.90 ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) ) ))). 1.17/0.90 thf(zf_stmt_0, conjecture, 1.17/0.90 (![X4:$i]: 1.17/0.90 ( ( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( a @ X6 ) ) ) | 1.17/0.90 ( ![X8:$i]: 1.17/0.90 ( ( irel @ X4 @ X8 ) => 1.17/0.90 ( ( ![X10:$i]: 1.17/0.90 ( ( irel @ X8 @ X10 ) => ( ( b @ X10 ) & ( a1 @ X10 ) ) ) ) | 1.17/0.90 ( ![X12:$i]: 1.17/0.90 ( ( irel @ X8 @ X12 ) => ( ( b1 @ X12 ) & ( a2 @ X12 ) ) ) ) ) ) ) ))). 1.17/0.90 thf(zf_stmt_1, negated_conjecture, 1.17/0.90 (~( ![X4:$i]: 1.17/0.90 ( ( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( a @ X6 ) ) ) | 1.17/0.90 ( ![X8:$i]: 1.17/0.90 ( ( irel @ X4 @ X8 ) => 1.17/0.90 ( ( ![X10:$i]: 1.17/0.90 ( ( irel @ X8 @ X10 ) => ( ( b @ X10 ) & ( a1 @ X10 ) ) ) ) | 1.17/0.90 ( ![X12:$i]: 1.17/0.90 ( ( irel @ X8 @ X12 ) => ( ( b1 @ X12 ) & ( a2 @ X12 ) ) ) ) ) ) ) ) )), 1.17/0.90 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 1.17/0.90 thf(zip_derived_cl9, plain, ((~ (b @ sk__7) | ~ (a1 @ sk__7))), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl12, plain, ( (irel @ sk__3 @ sk__4)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(refl_axiom, axiom, (![X:$i]: ( irel @ X @ X ))). 1.17/0.90 thf(zip_derived_cl1, plain, (![X0 : $i]: (irel @ X0 @ X0)), 1.17/0.90 inference('cnf', [status(esa)], [refl_axiom])). 1.17/0.90 thf(axiom3, axiom, 1.17/0.90 (ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ))). 1.17/0.90 thf(zf_stmt_2, axiom, 1.17/0.90 (![X4:$i]: 1.17/0.90 ( ( ![X6:$i]: 1.17/0.90 ( ( irel @ X4 @ X6 ) => 1.17/0.90 ( ( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( b @ X8 ) ) ) | 1.17/0.90 ( ![X10:$i]: ( ( irel @ X6 @ X10 ) => ( a @ X10 ) ) ) ) ) ) | 1.17/0.90 ( ![X12:$i]: ( ( irel @ X4 @ X12 ) => ( b @ X12 ) ) ) ))). 1.17/0.90 thf(zip_derived_cl5, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 1.17/0.90 (~ (irel @ X0 @ X1) 1.17/0.90 | (b @ X2) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (a @ X3) 1.17/0.90 | ~ (irel @ X1 @ X3) 1.17/0.90 | ~ (irel @ X0 @ X4) 1.17/0.90 | (b @ X4))), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_2])). 1.17/0.90 thf(zip_derived_cl83, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 1.17/0.90 ( (b @ X1) 1.17/0.90 | ~ (irel @ X0 @ X1) 1.17/0.90 | ~ (irel @ X0 @ X2) 1.17/0.90 | (a @ X2) 1.17/0.90 | ~ (irel @ X0 @ X3) 1.17/0.90 | (b @ X3))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])). 1.17/0.90 thf(zip_derived_cl415, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 ( (b @ X0) 1.17/0.90 | ~ (irel @ X1 @ X0) 1.17/0.90 | (a @ X2) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (b @ X0))), 1.17/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl83])). 1.17/0.90 thf(zip_derived_cl417, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 (~ (irel @ X1 @ X2) | (a @ X2) | ~ (irel @ X1 @ X0) | (b @ X0))), 1.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl415])). 1.17/0.90 thf(zip_derived_cl432, plain, 1.17/0.90 (![X0 : $i]: ( (b @ X0) | ~ (irel @ sk__3 @ X0) | (a @ sk__4))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl417])). 1.17/0.90 thf(zip_derived_cl11, plain, (~ (a @ sk__4)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl506, plain, 1.17/0.90 (![X0 : $i]: (~ (irel @ sk__3 @ X0) | (b @ X0))), 1.17/0.90 inference('clc', [status(thm)], [zip_derived_cl432, zip_derived_cl11])). 1.17/0.90 thf(zip_derived_cl8, plain, ( (irel @ sk__5 @ sk__7)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl10, plain, ( (irel @ sk__3 @ sk__5)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(trans_axiom, axiom, 1.17/0.90 (![X:$i,Y:$i,Z:$i]: 1.17/0.90 ( ( ( irel @ Y @ Z ) & ( irel @ X @ Y ) ) => ( irel @ X @ Z ) ))). 1.17/0.90 thf(zip_derived_cl0, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 (~ (irel @ X0 @ X1) | ~ (irel @ X1 @ X2) | (irel @ X0 @ X2))), 1.17/0.90 inference('cnf', [status(esa)], [trans_axiom])). 1.17/0.90 thf(zip_derived_cl34, plain, 1.17/0.90 (![X0 : $i]: ( (irel @ sk__3 @ X0) | ~ (irel @ sk__5 @ X0))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])). 1.17/0.90 thf(zip_derived_cl0, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 (~ (irel @ X0 @ X1) | ~ (irel @ X1 @ X2) | (irel @ X0 @ X2))), 1.17/0.90 inference('cnf', [status(esa)], [trans_axiom])). 1.17/0.90 thf(zip_derived_cl42, plain, 1.17/0.90 (![X0 : $i, X1 : $i]: 1.17/0.90 (~ (irel @ sk__5 @ X0) | (irel @ sk__3 @ X1) | ~ (irel @ X0 @ X1))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl0])). 1.17/0.90 thf(zip_derived_cl62, plain, 1.17/0.90 (![X0 : $i]: (~ (irel @ sk__7 @ X0) | (irel @ sk__3 @ X0))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl42])). 1.17/0.90 thf(zip_derived_cl510, plain, 1.17/0.90 (![X0 : $i]: ( (b @ X0) | ~ (irel @ sk__7 @ X0))), 1.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl506, zip_derived_cl62])). 1.17/0.90 thf(zip_derived_cl1, plain, (![X0 : $i]: (irel @ X0 @ X0)), 1.17/0.90 inference('cnf', [status(esa)], [refl_axiom])). 1.17/0.90 thf(zip_derived_cl535, plain, ( (b @ sk__7)), 1.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl510, zip_derived_cl1])). 1.17/0.90 thf(zip_derived_cl551, plain, (~ (a1 @ sk__7)), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl535])). 1.17/0.90 thf(zip_derived_cl6, plain, ( (irel @ sk__5 @ sk__6)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl8, plain, ( (irel @ sk__5 @ sk__7)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl6, plain, ( (irel @ sk__5 @ sk__6)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl10, plain, ( (irel @ sk__3 @ sk__5)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(iimplies, axiom,(( iimplies ) = 1.17/0.90 (^[P:( $i > $o ),Q:( $i > $o )]: 1.17/0.90 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))). 1.17/0.90 thf(mimplies, axiom,(( mimplies ) = 1.17/0.90 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))). 1.17/0.90 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))). 1.17/0.90 thf('14', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [mnot])). 1.17/0.90 thf('15', plain, 1.17/0.90 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf('16', plain, 1.17/0.90 (( mimplies ) = 1.17/0.90 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [mimplies, '5', '15'])). 1.17/0.90 thf('17', plain, 1.17/0.90 (( mimplies ) = 1.17/0.90 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf('18', plain, 1.17/0.90 (( iimplies ) = 1.17/0.90 ( ^[P:( $i > $o ),Q:( $i > $o )]: 1.17/0.90 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )), 1.17/0.90 inference('simplify_rw_rule', [status(thm)], [iimplies, '3', '17'])). 1.17/0.90 thf('19', plain, 1.17/0.90 (( iimplies ) = 1.17/0.90 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 1.17/0.90 ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )), 1.17/0.90 define([status(thm)])). 1.17/0.90 thf(axiom2, axiom, 1.17/0.90 (ivalid @ 1.17/0.90 ( iimplies @ 1.17/0.90 ( iatom @ b ) @ 1.17/0.90 ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ))). 1.17/0.90 thf(zf_stmt_3, axiom, 1.17/0.90 (![X4:$i]: 1.17/0.90 ( ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( b @ X6 ) ) ) ) | 1.17/0.90 ( ![X8:$i]: 1.17/0.90 ( ( irel @ X4 @ X8 ) => 1.17/0.90 ( ( ![X10:$i]: 1.17/0.90 ( ( irel @ X8 @ X10 ) => 1.17/0.90 ( ( ![X12:$i]: ( ( irel @ X10 @ X12 ) => ( b1 @ X12 ) ) ) | 1.17/0.90 ( ![X14:$i]: ( ( irel @ X10 @ X14 ) => ( a1 @ X14 ) ) ) ) ) ) | 1.17/0.90 ( ![X16:$i]: ( ( irel @ X8 @ X16 ) => ( b1 @ X16 ) ) ) ) ) ) ))). 1.17/0.90 thf(zip_derived_cl4, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 1.17/0.90 ( (irel @ X0 @ (sk__2 @ X0)) 1.17/0.90 | ~ (irel @ X0 @ X1) 1.17/0.90 | ~ (irel @ X2 @ X3) 1.17/0.90 | (a1 @ X3) 1.17/0.90 | ~ (irel @ X2 @ X4) 1.17/0.90 | (b1 @ X4) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (b1 @ X5) 1.17/0.90 | ~ (irel @ X1 @ X5))), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_3])). 1.17/0.90 thf(zip_derived_cl46, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 1.17/0.90 (~ (irel @ sk__5 @ X0) 1.17/0.90 | (b1 @ X0) 1.17/0.90 | ~ (irel @ sk__5 @ X1) 1.17/0.90 | (b1 @ X2) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (a1 @ X3) 1.17/0.90 | ~ (irel @ X1 @ X3) 1.17/0.90 | (irel @ sk__3 @ (sk__2 @ sk__3)))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl4])). 1.17/0.90 thf(zip_derived_cl225, plain, 1.17/0.90 (![X0 : $i, X1 : $i]: 1.17/0.90 ( (irel @ sk__3 @ (sk__2 @ sk__3)) 1.17/0.90 | ~ (irel @ sk__5 @ X1) 1.17/0.90 | (a1 @ X1) 1.17/0.90 | ~ (irel @ sk__5 @ X0) 1.17/0.90 | (b1 @ X0) 1.17/0.90 | ~ (irel @ sk__5 @ sk__5) 1.17/0.90 | (b1 @ X0))), 1.17/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl46])). 1.17/0.90 thf(zip_derived_cl227, plain, 1.17/0.90 (![X0 : $i, X1 : $i]: 1.17/0.90 (~ (irel @ sk__5 @ sk__5) 1.17/0.90 | (b1 @ X0) 1.17/0.90 | ~ (irel @ sk__5 @ X0) 1.17/0.90 | (a1 @ X1) 1.17/0.90 | ~ (irel @ sk__5 @ X1) 1.17/0.90 | (irel @ sk__3 @ (sk__2 @ sk__3)))), 1.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl225])). 1.17/0.90 thf(zip_derived_cl1, plain, (![X0 : $i]: (irel @ X0 @ X0)), 1.17/0.90 inference('cnf', [status(esa)], [refl_axiom])). 1.17/0.90 thf(zip_derived_cl234, plain, 1.17/0.90 (![X0 : $i, X1 : $i]: 1.17/0.90 ( (b1 @ X0) 1.17/0.90 | ~ (irel @ sk__5 @ X0) 1.17/0.90 | (a1 @ X1) 1.17/0.90 | ~ (irel @ sk__5 @ X1) 1.17/0.90 | (irel @ sk__3 @ (sk__2 @ sk__3)))), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl1])). 1.17/0.90 thf(zip_derived_cl897, plain, 1.17/0.90 (![X0 : $i]: 1.17/0.90 ( (irel @ sk__3 @ (sk__2 @ sk__3)) 1.17/0.90 | ~ (irel @ sk__5 @ X0) 1.17/0.90 | (a1 @ X0) 1.17/0.90 | (b1 @ sk__6))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl234])). 1.17/0.90 thf(zip_derived_cl7, plain, ((~ (b1 @ sk__6) | ~ (a2 @ sk__6))), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(axiom1, axiom, (ivalid @ ( iatom @ a2 ))). 1.17/0.90 thf(zf_stmt_4, axiom, (![X4:$i]: ( a2 @ X4 ))). 1.17/0.90 thf(zip_derived_cl2, plain, (![X0 : $i]: (a2 @ X0)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_4])). 1.17/0.90 thf(zip_derived_cl13, plain, (~ (b1 @ sk__6)), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])). 1.17/0.90 thf(zip_derived_cl908, plain, 1.17/0.90 (![X0 : $i]: 1.17/0.90 ( (irel @ sk__3 @ (sk__2 @ sk__3)) 1.17/0.90 | ~ (irel @ sk__5 @ X0) 1.17/0.90 | (a1 @ X0))), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl897, zip_derived_cl13])). 1.17/0.90 thf(zip_derived_cl929, plain, 1.17/0.90 (( (a1 @ sk__7) | (irel @ sk__3 @ (sk__2 @ sk__3)))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl908])). 1.17/0.90 thf(zip_derived_cl551, plain, (~ (a1 @ sk__7)), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl535])). 1.17/0.90 thf(zip_derived_cl952, plain, ( (irel @ sk__3 @ (sk__2 @ sk__3))), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl929, zip_derived_cl551])). 1.17/0.90 thf(zip_derived_cl506, plain, 1.17/0.90 (![X0 : $i]: (~ (irel @ sk__3 @ X0) | (b @ X0))), 1.17/0.90 inference('clc', [status(thm)], [zip_derived_cl432, zip_derived_cl11])). 1.17/0.90 thf(zip_derived_cl956, plain, ( (b @ (sk__2 @ sk__3))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl952, zip_derived_cl506])). 1.17/0.90 thf(zip_derived_cl3, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 1.17/0.90 (~ (b @ (sk__2 @ X0)) 1.17/0.90 | ~ (irel @ X0 @ X1) 1.17/0.90 | ~ (irel @ X2 @ X3) 1.17/0.90 | (a1 @ X3) 1.17/0.90 | ~ (irel @ X2 @ X4) 1.17/0.90 | (b1 @ X4) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (b1 @ X5) 1.17/0.90 | ~ (irel @ X1 @ X5))), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_3])). 1.17/0.90 thf(zip_derived_cl992, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 1.17/0.90 (~ (irel @ X1 @ X0) 1.17/0.90 | (b1 @ X0) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (b1 @ X3) 1.17/0.90 | ~ (irel @ X2 @ X3) 1.17/0.90 | (a1 @ X4) 1.17/0.90 | ~ (irel @ X2 @ X4) 1.17/0.90 | ~ (irel @ sk__3 @ X1))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl956, zip_derived_cl3])). 1.17/0.90 thf(zip_derived_cl1091, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 (~ (irel @ sk__3 @ X1) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | (a1 @ X2) 1.17/0.90 | ~ (irel @ X1 @ X0) 1.17/0.90 | (b1 @ X0) 1.17/0.90 | ~ (irel @ X1 @ X1) 1.17/0.90 | (b1 @ X0))), 1.17/0.90 inference('eq_fact', [status(thm)], [zip_derived_cl992])). 1.17/0.90 thf(zip_derived_cl1093, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 (~ (irel @ X1 @ X1) 1.17/0.90 | (b1 @ X0) 1.17/0.90 | ~ (irel @ X1 @ X0) 1.17/0.90 | (a1 @ X2) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | ~ (irel @ sk__3 @ X1))), 1.17/0.90 inference('simplify', [status(thm)], [zip_derived_cl1091])). 1.17/0.90 thf(zip_derived_cl1, plain, (![X0 : $i]: (irel @ X0 @ X0)), 1.17/0.90 inference('cnf', [status(esa)], [refl_axiom])). 1.17/0.90 thf(zip_derived_cl1111, plain, 1.17/0.90 (![X0 : $i, X1 : $i, X2 : $i]: 1.17/0.90 ( (b1 @ X0) 1.17/0.90 | ~ (irel @ X1 @ X0) 1.17/0.90 | (a1 @ X2) 1.17/0.90 | ~ (irel @ X1 @ X2) 1.17/0.90 | ~ (irel @ sk__3 @ X1))), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl1093, zip_derived_cl1])). 1.17/0.90 thf(zip_derived_cl1141, plain, 1.17/0.90 (![X0 : $i]: 1.17/0.90 (~ (irel @ sk__3 @ sk__5) 1.17/0.90 | ~ (irel @ sk__5 @ X0) 1.17/0.90 | (a1 @ X0) 1.17/0.90 | (b1 @ sk__6))), 1.17/0.90 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1111])). 1.17/0.90 thf(zip_derived_cl10, plain, ( (irel @ sk__3 @ sk__5)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl13, plain, (~ (b1 @ sk__6)), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])). 1.17/0.90 thf(zip_derived_cl1172, plain, 1.17/0.90 (![X0 : $i]: (~ (irel @ sk__5 @ X0) | (a1 @ X0))), 1.17/0.90 inference('demod', [status(thm)], 1.17/0.90 [zip_derived_cl1141, zip_derived_cl10, zip_derived_cl13])). 1.17/0.90 thf(zip_derived_cl8, plain, ( (irel @ sk__5 @ sk__7)), 1.17/0.90 inference('cnf', [status(esa)], [zf_stmt_1])). 1.17/0.90 thf(zip_derived_cl1194, plain, ( (a1 @ sk__7)), 1.17/0.90 inference('sup+', [status(thm)], [zip_derived_cl1172, zip_derived_cl8])). 1.17/0.90 thf(zip_derived_cl1218, plain, ($false), 1.17/0.90 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl1194])). 1.17/0.90 1.17/0.90 % SZS output end Refutation 1.17/0.90 1.17/0.90 1.17/0.90 % Terminating... 1.17/0.98 % Runner terminated. 1.17/1.00 % Zipperpin 1.5 exiting 1.17/1.01 EOF