0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gZkpheBrlL true 0.18/0.44 % Computer : n029.cluster.edu 0.18/0.44 % Model : x86_64 x86_64 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.44 % Memory : 8046.5625MB 0.18/0.44 % OS : Linux 6.8.0-71-generic 0.18/0.44 % CPULimit : 1440 0.18/0.44 % WCLimit : 180 0.18/0.44 % DateTime : Mon Jul 27 12:48:46 UTC 2026 0.18/0.45 % CPUTime : 0.18/0.45 % Running portfolio for 1440 s 0.18/0.45 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.45 % Number of cores: 8 0.18/0.46 % Python version: Python 3.12.3 0.18/0.46 % Running in HO mode 0.44/0.90 % Total configuration time : 828 0.44/0.90 % Estimated wc time : 1656 0.44/0.90 % Estimated cpu time (8 cpus) : 207.0 0.44/1.01 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.44/1.09 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.44/1.10 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 2.24/1.12 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 2.24/1.12 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 2.24/1.12 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 2.24/1.12 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 2.24/1.16 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 216.39/31.02 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 280.70/41.18 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 299.14/47.95 % Solved by lams/40_noforms.sh. 299.14/47.95 % done 282 iterations in 46.750s 299.14/47.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 299.14/47.95 % SZS output start Refutation 299.14/47.95 thf(d_unsorted_type, type, d_unsorted: $tType). 299.14/47.95 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(d_unsorted_0_type, type, d_unsorted_0: d_unsorted). 299.14/47.95 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(sk__type, type, sk_: ($i > $o) > $i > $i). 299.14/47.95 thf(sk__24_type, type, sk__24: $i). 299.14/47.95 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > ($i > $o) > $o). 299.14/47.95 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > ($i > $o) > ($i > $o) > $o). 299.14/47.95 thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(inot_type, type, inot: ($i > $o) > $i > $o). 299.14/47.95 thf(ixor_type, type, ixor: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(iequiv_type, type, iequiv: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(isatisfiable_type, type, isatisfiable: ($i > $o) > $o). 299.14/47.95 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > ($i > $o) > $o). 299.14/47.95 thf(sk__19_type, type, sk__19: $i > ($i > $o) > $i). 299.14/47.95 thf(sk__1_type, type, sk__1: ($i > $o) > $i > $i). 299.14/47.95 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 299.14/47.95 thf(sk__14_type, type, sk__14: ($i > $o) > $i). 299.14/47.95 thf(sk__3_type, type, sk__3: ($i > $o) > $i > $i). 299.14/47.95 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 299.14/47.95 thf(itrue_type, type, itrue: $i > $o). 299.14/47.95 thf(sk__5_type, type, sk__5: ($i > $o) > $i > $i). 299.14/47.95 thf(sk__12_type, type, sk__12: $i > ($i > $o) > ($i > $o) > $i). 299.14/47.95 thf(sk__2_type, type, sk__2: ($i > $o) > $i > $i). 299.14/47.95 thf(icountersatisfiable_type, type, icountersatisfiable: ($i > $o) > $o). 299.14/47.95 thf(sk__11_type, type, sk__11: $i > ($i > $o) > ($i > $o) > $i). 299.14/47.95 thf(iatom_type, type, iatom: ($i > $o) > $i > $o). 299.14/47.95 thf(sk__10_type, type, sk__10: $i > ($i > $o) > ($i > $o) > $i). 299.14/47.95 thf(sk__21_type, type, sk__21: $i > d_unsorted). 299.14/47.95 thf(sk__23_type, type, sk__23: $i > $o). 299.14/47.95 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(d2unsorted_type, type, d2unsorted: d_unsorted > $i). 299.14/47.95 thf(ifalse_type, type, ifalse: $i > $o). 299.14/47.95 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > ($i > $o) > $o). 299.14/47.95 thf(irel_type, type, irel: $i > $i > $o). 299.14/47.95 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > ($i > $o) > ($i > $o) > $o). 299.14/47.95 thf(iinvalid_type, type, iinvalid: ($i > $o) > $o). 299.14/47.95 thf(sk__4_type, type, sk__4: ($i > $o) > $i > $i). 299.14/47.95 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > ($i > $o) > ($i > $o) > $o). 299.14/47.95 thf(ivalid_type, type, ivalid: ($i > $o) > $o). 299.14/47.95 thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(iimplied_type, type, iimplied: ($i > $o) > ($i > $o) > $i > $o). 299.14/47.95 thf(sk__22_type, type, sk__22: $i > $o). 299.14/47.95 thf(lcl695_1, axiom, 299.14/47.95 (( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ) & 299.14/47.95 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) & 299.14/47.95 ( ![DU1:d_unsorted,DU2:d_unsorted]: 299.14/47.95 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) => 299.14/47.95 ( ( DU1 ) = ( DU2 ) ) ) ) & 299.14/47.95 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=> 299.14/47.95 ( ( V @ Flatten_var_0 ) | ( ~( U @ Flatten_var_0 ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),X:$i]: 299.14/47.95 ( ( mbox_s4 @ P @ X ) <=> 299.14/47.95 ( ![Y:$i]: ( ( ~( irel @ X @ Y ) ) | ( P @ Y ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( inot @ P @ Flatten_var_0 ) <=> 299.14/47.95 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iand @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( P @ Flatten_var_0 ) & ( Q @ Flatten_var_0 ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 299.14/47.95 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 299.14/47.95 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) & 299.14/47.95 ( ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 299.14/47.95 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: 299.14/47.95 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: 299.14/47.95 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: 299.14/47.95 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) & 299.14/47.95 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) & 299.14/47.95 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) & 299.14/47.95 ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ~( ![Y:$i,Bound_variable_747:$i,Bound_variable_754:$i]: 299.14/47.95 ( ( ~( irel @ Flatten_var_0 @ Y ) ) | 299.14/47.95 ( ( ( ~( ![Bound_variable_717:$i]: 299.14/47.95 ( ( ~( irel @ Y @ Bound_variable_717 ) ) | 299.14/47.95 ( Q @ Bound_variable_717 ) ) ) ) | 299.14/47.95 ( P @ Bound_variable_754 ) | 299.14/47.95 ( ~( irel @ Y @ Bound_variable_754 ) ) ) & 299.14/47.95 ( ( ~( irel @ Y @ Bound_variable_747 ) ) | 299.14/47.95 ( Q @ Bound_variable_747 ) | 299.14/47.95 ( ~( ![Bound_variable_709:$i]: 299.14/47.95 ( ( P @ Bound_variable_709 ) | 299.14/47.95 ( ~( irel @ Y @ Bound_variable_709 ) ) ) ) ) ) ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 299.14/47.95 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( ior @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 299.14/47.95 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) & 299.14/47.95 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 299.14/47.95 ( ( mand @ X @ Y @ U ) <=> ( ( Y @ U ) & ( X @ U ) ) ) ) & 299.14/47.95 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 299.14/47.95 ( ( mor @ X @ Y @ U ) <=> ( ( X @ U ) | ( Y @ U ) ) ) ) & 299.14/47.95 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ))). 299.14/47.95 thf(zf_stmt_0, axiom, 299.14/47.95 (![Bound_variable_754:$i,Y:$i,Q:( $i > $o ),P:( $i > $o )]: 299.14/47.95 ( ( zip_tseitin_4 @ Bound_variable_754 @ Y @ Q @ P ) <=> 299.14/47.95 ( ( ~( irel @ Y @ Bound_variable_754 ) ) | ( P @ Bound_variable_754 ) | 299.14/47.95 ( ~( ![Bound_variable_717:$i]: 299.14/47.95 ( ( Q @ Bound_variable_717 ) | 299.14/47.95 ( ~( irel @ Y @ Bound_variable_717 ) ) ) ) ) ) ))). 299.14/47.95 thf(zip_derived_cl17, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]: 299.14/47.95 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3) | ~ (X3 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_0])). 299.14/47.95 thf(zf_stmt_1, axiom, 299.14/47.95 (![Bound_variable_747:$i,Y:$i,Q:( $i > $o ),P:( $i > $o )]: 299.14/47.95 ( ( zip_tseitin_5 @ Bound_variable_747 @ Y @ Q @ P ) <=> 299.14/47.95 ( ( ~( ![Bound_variable_709:$i]: 299.14/47.95 ( ( ~( irel @ Y @ Bound_variable_709 ) ) | 299.14/47.95 ( P @ Bound_variable_709 ) ) ) ) | 299.14/47.95 ( Q @ Bound_variable_747 ) | ( ~( irel @ Y @ Bound_variable_747 ) ) ) ))). 299.14/47.95 thf(zip_derived_cl22, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]: 299.14/47.95 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3) | ~ (X2 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_1])). 299.14/47.95 thf(zf_stmt_2, axiom, 299.14/47.95 (![Y:$i,Flatten_var_0:$i,P:( $i > $o )]: 299.14/47.95 ( ( zip_tseitin_2 @ Y @ Flatten_var_0 @ P ) <=> 299.14/47.95 ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ))). 299.14/47.95 thf(zip_derived_cl9, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o]: 299.14/47.95 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ~ (X2 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_2])). 299.14/47.95 thf(zf_stmt_3, axiom, 299.14/47.95 (![Y:$i,Flatten_var_0:$i,Q:( $i > $o )]: 299.14/47.95 ( ( zip_tseitin_0 @ Y @ Flatten_var_0 @ Q ) <=> 299.14/47.95 ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ))). 299.14/47.95 thf(zip_derived_cl2, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o]: 299.14/47.95 ( (zip_tseitin_0 @ X0 @ X1 @ X2) | ~ (X2 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_3])). 299.14/47.95 thf(zip_derived_cl0, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i, X2 : $i]: 299.14/47.95 ( (X0 @ X1) | ~ (irel @ X2 @ X1) | ~ (zip_tseitin_0 @ X1 @ X2 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_3])). 299.14/47.95 thf(zf_stmt_4, axiom, 299.14/47.95 (![Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]: 299.14/47.95 ( ( zip_tseitin_1 @ Flatten_var_0 @ Q @ P ) <=> 299.14/47.95 ( ( ![Y:$i]: ( zip_tseitin_0 @ Y @ Flatten_var_0 @ Q ) ) | 299.14/47.95 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ))). 299.14/47.95 thf(zip_derived_cl5, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]: 299.14/47.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2) 299.14/47.95 | ~ (zip_tseitin_0 @ (sk_ @ X1 @ X0) @ X0 @ X1))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_4])). 299.14/47.95 thf(zf_stmt_5, type, zip_tseitin_5 : $i > $i > ( $i > $o ) > ( $i > $o ) > $o). 299.14/47.95 thf(zf_stmt_6, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > ( $i > $o ) > $o). 299.14/47.95 thf(zf_stmt_7, type, zip_tseitin_3 : $i > ( $i > $o ) > ( $i > $o ) > $o). 299.14/47.95 thf(zf_stmt_8, axiom, 299.14/47.95 (![Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]: 299.14/47.95 ( ( zip_tseitin_3 @ Flatten_var_0 @ Q @ P ) <=> 299.14/47.95 ( ( ![Y:$i]: ( zip_tseitin_2 @ Y @ Flatten_var_0 @ P ) ) | 299.14/47.95 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ))). 299.14/47.95 thf(zf_stmt_9, type, zip_tseitin_2 : $i > $i > ( $i > $o ) > $o). 299.14/47.95 thf(zf_stmt_10, type, zip_tseitin_1 : $i > ( $i > $o ) > ( $i > $o ) > $o). 299.14/47.95 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > ( $i > $o ) > $o). 299.14/47.95 thf(zf_stmt_12, axiom, 299.14/47.95 (( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) & 299.14/47.95 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 299.14/47.95 ( ( mor @ X @ Y @ U ) <=> ( ( Y @ U ) | ( X @ U ) ) ) ) & 299.14/47.95 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 299.14/47.95 ( ( mand @ X @ Y @ U ) <=> ( ( X @ U ) & ( Y @ U ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( ior @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 299.14/47.95 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 299.14/47.95 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ~( ![Y:$i,Bound_variable_747:$i,Bound_variable_754:$i]: 299.14/47.95 ( ( ( zip_tseitin_5 @ Bound_variable_747 @ Y @ Q @ P ) & 299.14/47.95 ( zip_tseitin_4 @ Bound_variable_754 @ Y @ Q @ P ) ) | 299.14/47.95 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 299.14/47.95 ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) & 299.14/47.95 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) & 299.14/47.95 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: 299.14/47.95 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: 299.14/47.95 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: 299.14/47.95 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) & 299.14/47.95 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( zip_tseitin_3 @ Flatten_var_0 @ Q @ P ) & 299.14/47.95 ( zip_tseitin_1 @ Flatten_var_0 @ Q @ P ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) | 299.14/47.95 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iand @ P @ Q @ Flatten_var_0 ) <=> 299.14/47.95 ( ( Q @ Flatten_var_0 ) & ( P @ Flatten_var_0 ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( inot @ P @ Flatten_var_0 ) <=> 299.14/47.95 ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) & 299.14/47.95 ( ![P:( $i > $o ),X:$i]: 299.14/47.95 ( ( mbox_s4 @ P @ X ) <=> 299.14/47.95 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ X @ Y ) ) ) ) ) ) & 299.14/47.95 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]: 299.14/47.95 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=> 299.14/47.95 ( ( ~( U @ Flatten_var_0 ) ) | ( V @ Flatten_var_0 ) ) ) ) & 299.14/47.95 ( ![DU1:d_unsorted,DU2:d_unsorted]: 299.14/47.95 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) => 299.14/47.95 ( ( DU1 ) = ( DU2 ) ) ) ) & 299.14/47.95 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) & 299.14/47.95 ( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ))). 299.14/47.95 thf(zip_derived_cl48, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]: 299.14/47.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2) | ~ (iequiv @ X2 @ X1 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl4, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i > $o]: 299.14/47.95 (~ (X0 @ (sk__1 @ X0 @ X1)) 299.14/47.95 | (zip_tseitin_0 @ X2 @ X1 @ X3) 299.14/47.95 | ~ (zip_tseitin_1 @ X1 @ X3 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_4])). 299.14/47.95 thf(zip_derived_cl12, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]: 299.14/47.95 ( (zip_tseitin_3 @ X0 @ X1 @ X2) 299.14/47.95 | ~ (zip_tseitin_2 @ (sk__2 @ X2 @ X0) @ X0 @ X2))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_8])). 299.14/47.95 thf(zip_derived_cl7, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i, X2 : $i]: 299.14/47.95 ( (X0 @ X1) | ~ (irel @ X2 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_2])). 299.14/47.95 thf(zip_derived_cl61, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X4 : $i]: 299.14/47.95 ( (ixor @ X0 @ X1 @ X2) 299.14/47.95 | (zip_tseitin_5 @ X3 @ X4 @ X1 @ X0) 299.14/47.95 | ~ (irel @ X2 @ X4))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl20, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]: 299.14/47.95 (~ (irel @ X0 @ X1) 299.14/47.95 | (X2 @ X1) 299.14/47.95 | ~ (X3 @ (sk__5 @ X3 @ X0)) 299.14/47.95 | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_1])). 299.14/47.95 thf(zip_derived_cl47, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]: 299.14/47.95 ( (zip_tseitin_3 @ X0 @ X1 @ X2) | ~ (iequiv @ X2 @ X1 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl11, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i > $o]: 299.14/47.95 (~ (X0 @ (sk__3 @ X0 @ X1)) 299.14/47.95 | (zip_tseitin_2 @ X2 @ X1 @ X3) 299.14/47.95 | ~ (zip_tseitin_3 @ X1 @ X0 @ X3))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_8])). 299.14/47.95 thf(zip_derived_cl18, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o, X4 : $i]: 299.14/47.95 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3) 299.14/47.95 | (X2 @ X4) 299.14/47.95 | ~ (irel @ X1 @ X4))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_0])). 299.14/47.95 thf(zip_derived_cl60, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X4 : $i]: 299.14/47.95 ( (ixor @ X0 @ X1 @ X2) 299.14/47.95 | (zip_tseitin_4 @ X3 @ X4 @ X1 @ X0) 299.14/47.95 | ~ (irel @ X2 @ X4))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(ixor, conjecture, 299.14/47.95 (![P:( $i > $o ),Q:( $i > $o ),X_2:$i]: 299.14/47.95 ( ( ixor @ P @ Q @ X_2 ) <=> ( inot @ ( iequiv @ P @ Q ) @ X_2 ) ))). 299.14/47.95 thf(zf_stmt_13, negated_conjecture, 299.14/47.95 (~( ![P:( $i > $o ),Q:( $i > $o ),X_2:$i]: 299.14/47.95 ( ( ixor @ P @ Q @ X_2 ) <=> ( inot @ ( iequiv @ P @ Q ) @ X_2 ) ) )), 299.14/47.95 inference('cnf.neg', [status(esa)], [ixor])). 299.14/47.95 thf(zip_derived_cl83, plain, 299.14/47.95 ((~ (inot @ (iequiv @ sk__22 @ sk__23) @ sk__24) 299.14/47.95 | ~ (ixor @ sk__22 @ sk__23 @ sk__24))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_13])). 299.14/47.95 thf(zip_derived_cl14, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i]: 299.14/47.95 (~ (X0 @ (sk__4 @ X0 @ X1)) 299.14/47.95 | (X2 @ X3) 299.14/47.95 | ~ (irel @ X1 @ X3) 299.14/47.95 | ~ (zip_tseitin_4 @ X3 @ X1 @ X0 @ X2))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_0])). 299.14/47.95 thf(zip_derived_cl21, plain, 299.14/47.95 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o, X4 : $i]: 299.14/47.95 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3) 299.14/47.95 | ~ (irel @ X1 @ X4) 299.14/47.95 | (X3 @ X4))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_1])). 299.14/47.95 thf(zip_derived_cl35, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i, X2 : $i]: 299.14/47.95 ( (inot @ X0 @ X1) | ~ (irel @ X1 @ X2) | (X0 @ X2))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl63, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]: 299.14/47.95 (~ (zip_tseitin_4 @ (sk__12 @ X0 @ X1 @ X2) @ 299.14/47.95 (sk__10 @ X0 @ X1 @ X2) @ X1 @ X2) 299.14/47.95 | ~ (zip_tseitin_5 @ (sk__11 @ X0 @ X1 @ X2) @ 299.14/47.95 (sk__10 @ X0 @ X1 @ X2) @ X1 @ X2) 299.14/47.95 | ~ (ixor @ X2 @ X1 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl6, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i]: 299.14/47.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2) | ~ (irel @ X0 @ X3) | (X2 @ X3))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_4])). 299.14/47.95 thf(zip_derived_cl13, plain, 299.14/47.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i]: 299.14/47.95 ( (zip_tseitin_3 @ X0 @ X1 @ X2) | ~ (irel @ X0 @ X3) | (X1 @ X3))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_8])). 299.14/47.95 thf(zip_derived_cl46, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 299.14/47.95 ( (iequiv @ X0 @ X1 @ X2) 299.14/47.95 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0) 299.14/47.95 | ~ (zip_tseitin_3 @ X2 @ X1 @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl57, plain, 299.14/47.95 ( (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl82, plain, 299.14/47.95 (( (inot @ (iequiv @ sk__22 @ sk__23) @ sk__24) 299.14/47.95 | (ixor @ sk__22 @ sk__23 @ sk__24))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_13])). 299.14/47.95 thf(zip_derived_cl53, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i]: ( (icountersatisfiable @ X0) | (X0 @ X1))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl54, plain, 299.14/47.95 (![X0 : $i > $o]: (~ (X0 @ (sk__14 @ X0)) | ~ (icountersatisfiable @ X0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl832, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i]: ( (X0 @ X1) | ~ (X0 @ (sk__14 @ X0)))), 299.14/47.95 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl54])). 299.14/47.95 thf(zip_derived_cl36, plain, 299.14/47.95 (![X0 : $i > $o, X1 : $i]: 299.14/47.95 (~ (X0 @ (sk__19 @ X1 @ X0)) | ~ (inot @ X0 @ X1))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl25, plain, (![X0 : d_unsorted]: ((X0) = (d_unsorted_0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl25, plain, (![X0 : d_unsorted]: ((X0) = (d_unsorted_0))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl114, plain, 299.14/47.95 (![X0 : d_unsorted, X1 : d_unsorted]: ((X1) = (X0))), 299.14/47.95 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl25])). 299.14/47.95 thf(zip_derived_cl24, plain, 299.14/47.95 (![X0 : $i]: ((X0) = (d2unsorted @ (sk__21 @ X0)))), 299.14/47.95 inference('cnf', [status(esa)], [zf_stmt_12])). 299.14/47.95 thf(zip_derived_cl9074, plain, ($false), 299.14/47.95 inference('eprover', [status(thm)], 299.14/47.95 [zip_derived_cl17, zip_derived_cl22, zip_derived_cl9, 299.14/47.95 zip_derived_cl2, zip_derived_cl0, zip_derived_cl5, 299.14/47.95 zip_derived_cl48, zip_derived_cl4, zip_derived_cl12, 299.14/47.95 zip_derived_cl7, zip_derived_cl61, zip_derived_cl20, 299.14/47.95 zip_derived_cl47, zip_derived_cl11, zip_derived_cl18, 299.14/47.95 zip_derived_cl60, zip_derived_cl83, zip_derived_cl14, 299.14/47.95 zip_derived_cl21, zip_derived_cl35, zip_derived_cl63, 299.14/47.95 zip_derived_cl6, zip_derived_cl13, zip_derived_cl46, 299.14/47.95 zip_derived_cl57, zip_derived_cl82, zip_derived_cl832, 299.14/47.95 zip_derived_cl36, zip_derived_cl114, zip_derived_cl24])). 299.14/47.95 299.14/47.95 % SZS output end Refutation 299.14/47.95 299.14/47.95 299.14/47.95 % Terminating... 299.14/48.00 % Runner terminated. 119.06/48.02 % Zipperpin 1.5 exiting 119.06/48.03 EOF