0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q6sqcrzVVE true 0.10/0.36 % Computer : n017.cluster.edu 0.10/0.36 % Model : x86_64 x86_64 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.36 % Memory : 8046.5625MB 0.10/0.36 % OS : Linux 6.8.0-71-generic 0.10/0.36 % CPULimit : 1440 0.10/0.36 % WCLimit : 180 0.10/0.36 % DateTime : Mon Jul 27 10:57:37 UTC 2026 0.10/0.36 % CPUTime : 0.10/0.36 % Running portfolio for 1440 s 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.36 % Number of cores: 8 0.10/0.37 % Python version: Python 3.12.3 0.10/0.37 % Running in HO mode 0.46/0.66 % Total configuration time : 828 0.46/0.66 % Estimated wc time : 1656 0.46/0.66 % Estimated cpu time (8 cpus) : 207.0 0.48/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.50/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.50/0.88 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 74.44/10.36 % Solved by lams/40_c_ic.sh. 74.44/10.36 % done 185 iterations in 9.464s 74.44/10.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 74.44/10.36 % SZS output start Refutation 74.44/10.36 thf(d_unsorted_type, type, d_unsorted: $tType). 74.44/10.36 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(d_unsorted_0_type, type, d_unsorted_0: d_unsorted). 74.44/10.36 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > ($i > $o) > 74.44/10.36 ($i > $o) > $o). 74.44/10.36 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(sk__29_type, type, sk__29: $i > $o). 74.44/10.36 thf(sk__30_type, type, sk__30: $i). 74.44/10.36 thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > ($i > $o) > 74.44/10.36 ($i > $o) > $o). 74.44/10.36 thf(inot_type, type, inot: ($i > $o) > $i > $o). 74.44/10.36 thf(sk__13_type, type, sk__13: ($i > $o) > $i). 74.44/10.36 thf(ixor_type, type, ixor: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(sk__12_type, type, sk__12: ($i > $o) > $i). 74.44/10.36 thf(iequiv_type, type, iequiv: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(isatisfiable_type, type, isatisfiable: ($i > $o) > $o). 74.44/10.36 thf(sk__27_type, type, sk__27: $i > ($i > $o) > $i). 74.44/10.36 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 74.44/10.36 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 74.44/10.36 thf(itrue_type, type, itrue: $i > $o). 74.44/10.36 thf(icountersatisfiable_type, type, icountersatisfiable: ($i > $o) > $o). 74.44/10.36 thf(sk__9_type, type, sk__9: $i > ($i > $o) > $i). 74.44/10.36 thf(iatom_type, type, iatom: ($i > $o) > $i > $o). 74.44/10.36 thf(sk__8_type, type, sk__8: $i > ($i > $o) > $i). 74.44/10.36 thf(sk__14_type, type, sk__14: ($i > $o) > $i). 74.44/10.36 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(sk__4_type, type, sk__4: $i > d_unsorted). 74.44/10.36 thf(sk__28_type, type, sk__28: $i > $o). 74.44/10.36 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > ($i > $o) > 74.44/10.36 ($i > $o) > $o). 74.44/10.36 thf(d2unsorted_type, type, d2unsorted: d_unsorted > $i). 74.44/10.36 thf(ifalse_type, type, ifalse: $i > $o). 74.44/10.36 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > ($i > $o) > 74.44/10.36 ($i > $o) > $o). 74.44/10.36 thf(sk__5_type, type, sk__5: $i > ($i > $o) > $i). 74.44/10.36 thf(irel_type, type, irel: $i > $i > $o). 74.44/10.36 thf(iinvalid_type, type, iinvalid: ($i > $o) > $o). 74.44/10.36 thf(ivalid_type, type, ivalid: ($i > $o) > $o). 74.44/10.36 thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(sk__15_type, type, sk__15: ($i > $o) > $i). 74.44/10.36 thf(iimplied_type, type, iimplied: ($i > $o) > ($i > $o) > $i > $o). 74.44/10.36 thf(lcl696_1, axiom, 74.44/10.36 (( ![DU1:d_unsorted,DU2:d_unsorted]: 74.44/10.36 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) => 74.44/10.36 ( ( DU1 ) = ( DU2 ) ) ) ) & 74.44/10.36 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) & 74.44/10.36 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 74.44/10.36 ( ( mor @ X @ Y @ U ) <=> ( ( Y @ U ) | ( X @ U ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),X:$i]: 74.44/10.36 ( ( mbox_s4 @ P @ X ) <=> 74.44/10.36 ( ![Y:$i]: ( ( ~( irel @ X @ Y ) ) | ( P @ Y ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( ior @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) | 74.44/10.36 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i,Bound_variable_718:$i]: 74.44/10.36 ( ( ~( irel @ Flatten_var_0 @ Y ) ) | 74.44/10.36 ( ~( ![Bound_variable_693:$i]: 74.44/10.36 ( ( ~( irel @ Y @ Bound_variable_693 ) ) | 74.44/10.36 ( P @ Bound_variable_693 ) ) ) ) | 74.44/10.36 ( ~( irel @ Y @ Bound_variable_718 ) ) | 74.44/10.36 ( Q @ Bound_variable_718 ) ) ) & 74.44/10.36 ( ![Y:$i,Bound_variable_771:$i]: 74.44/10.36 ( ( ~( irel @ Y @ Bound_variable_771 ) ) | 74.44/10.36 ( P @ Bound_variable_771 ) | 74.44/10.36 ( ~( ![Bound_variable_746:$i]: 74.44/10.36 ( ( Q @ Bound_variable_746 ) | 74.44/10.36 ( ~( irel @ Y @ Bound_variable_746 ) ) ) ) ) | 74.44/10.36 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ~( ![Y:$i,Bound_variable_849:$i,Bound_variable_851:$i, 74.44/10.36 Bound_variable_864:$i,Bound_variable_866:$i]: 74.44/10.36 ( ( ( ( ~( irel @ Y @ Bound_variable_849 ) ) | 74.44/10.36 ( ~( ![Bound_variable_693:$i]: 74.44/10.36 ( ( P @ Bound_variable_693 ) | 74.44/10.36 ( ~( irel @ Bound_variable_849 @ Bound_variable_693 ) ) ) ) ) | 74.44/10.36 ( ~( irel @ Bound_variable_849 @ Bound_variable_851 ) ) | 74.44/10.36 ( Q @ Bound_variable_851 ) ) & 74.44/10.36 ( ( ~( irel @ Bound_variable_864 @ Bound_variable_866 ) ) | 74.44/10.36 ( P @ Bound_variable_866 ) | 74.44/10.36 ( ~( ![Bound_variable_746:$i]: 74.44/10.36 ( ( ~( irel @ Bound_variable_864 @ Bound_variable_746 ) ) | 74.44/10.36 ( Q @ Bound_variable_746 ) ) ) ) | 74.44/10.36 ( ~( irel @ Y @ Bound_variable_864 ) ) ) ) | 74.44/10.36 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: 74.44/10.36 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: 74.44/10.36 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) & 74.44/10.36 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) & 74.44/10.36 ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) & 74.44/10.36 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: 74.44/10.36 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 74.44/10.36 ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) | 74.44/10.36 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iand @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) & 74.44/10.36 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( inot @ P @ Flatten_var_0 ) <=> 74.44/10.36 ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ~( U @ Flatten_var_0 ) ) | ( V @ Flatten_var_0 ) ) ) ) & 74.44/10.36 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 74.44/10.36 ( ( mand @ X @ Y @ U ) <=> ( ( X @ U ) & ( Y @ U ) ) ) ) & 74.44/10.36 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) & 74.44/10.36 ( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ))). 74.44/10.36 thf(zf_stmt_0, type, zip_tseitin_3 : 74.44/10.36 $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o). 74.44/10.36 thf(zf_stmt_1, axiom, 74.44/10.36 (![Bound_variable_866:$i,Bound_variable_864:$i,Y:$i,Q:( $i > $o ), 74.44/10.36 P:( $i > $o )]: 74.44/10.36 ( ( zip_tseitin_3 @ Bound_variable_866 @ Bound_variable_864 @ Y @ Q @ P ) <=> 74.44/10.36 ( ( ~( irel @ Y @ Bound_variable_864 ) ) | 74.44/10.36 ( ~( ![Bound_variable_746:$i]: 74.44/10.36 ( ( Q @ Bound_variable_746 ) | 74.44/10.36 ( ~( irel @ Bound_variable_864 @ Bound_variable_746 ) ) ) ) ) | 74.44/10.36 ( P @ Bound_variable_866 ) | 74.44/10.36 ( ~( irel @ Bound_variable_864 @ Bound_variable_866 ) ) ) ))). 74.44/10.36 thf(zf_stmt_2, type, zip_tseitin_2 : 74.44/10.36 $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o). 74.44/10.36 thf(zf_stmt_3, axiom, 74.44/10.36 (![Bound_variable_851:$i,Bound_variable_849:$i,Y:$i,Q:( $i > $o ), 74.44/10.36 P:( $i > $o )]: 74.44/10.36 ( ( zip_tseitin_2 @ Bound_variable_851 @ Bound_variable_849 @ Y @ Q @ P ) <=> 74.44/10.36 ( ( Q @ Bound_variable_851 ) | 74.44/10.36 ( ~( irel @ Bound_variable_849 @ Bound_variable_851 ) ) | 74.44/10.36 ( ~( ![Bound_variable_693:$i]: 74.44/10.36 ( ( ~( irel @ Bound_variable_849 @ Bound_variable_693 ) ) | 74.44/10.36 ( P @ Bound_variable_693 ) ) ) ) | 74.44/10.36 ( ~( irel @ Y @ Bound_variable_849 ) ) ) ))). 74.44/10.36 thf(zf_stmt_4, type, zip_tseitin_1 : 74.44/10.36 $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o). 74.44/10.36 thf(zf_stmt_5, axiom, 74.44/10.36 (![Bound_variable_771:$i,Y:$i,Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]: 74.44/10.36 ( ( zip_tseitin_1 @ Bound_variable_771 @ Y @ Flatten_var_0 @ Q @ P ) <=> 74.44/10.36 ( ( ~( irel @ Flatten_var_0 @ Y ) ) | 74.44/10.36 ( ~( ![Bound_variable_746:$i]: 74.44/10.36 ( ( ~( irel @ Y @ Bound_variable_746 ) ) | 74.44/10.36 ( Q @ Bound_variable_746 ) ) ) ) | 74.44/10.36 ( P @ Bound_variable_771 ) | ( ~( irel @ Y @ Bound_variable_771 ) ) ) ))). 74.44/10.36 thf(zf_stmt_6, type, zip_tseitin_0 : 74.44/10.36 $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o). 74.44/10.36 thf(zf_stmt_7, axiom, 74.44/10.36 (![Bound_variable_718:$i,Y:$i,Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]: 74.44/10.36 ( ( zip_tseitin_0 @ Bound_variable_718 @ Y @ Flatten_var_0 @ Q @ P ) <=> 74.44/10.36 ( ( Q @ Bound_variable_718 ) | ( ~( irel @ Y @ Bound_variable_718 ) ) | 74.44/10.36 ( ~( ![Bound_variable_693:$i]: 74.44/10.36 ( ( P @ Bound_variable_693 ) | 74.44/10.36 ( ~( irel @ Y @ Bound_variable_693 ) ) ) ) ) | 74.44/10.36 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ))). 74.44/10.36 thf(zf_stmt_8, axiom, 74.44/10.36 (( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ) & 74.44/10.36 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) & 74.44/10.36 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 74.44/10.36 ( ( mand @ X @ Y @ U ) <=> ( ( Y @ U ) & ( X @ U ) ) ) ) & 74.44/10.36 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=> 74.44/10.36 ( ( V @ Flatten_var_0 ) | ( ~( U @ Flatten_var_0 ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( inot @ P @ Flatten_var_0 ) <=> 74.44/10.36 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iand @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) & 74.44/10.36 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 74.44/10.36 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) | 74.44/10.36 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: 74.44/10.36 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) & 74.44/10.36 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) & 74.44/10.36 ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) & 74.44/10.36 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: 74.44/10.36 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: 74.44/10.36 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) & 74.44/10.36 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ~( ![Y:$i,Bound_variable_849:$i,Bound_variable_851:$i, 74.44/10.36 Bound_variable_864:$i,Bound_variable_866:$i]: 74.44/10.36 ( ( ~( irel @ Flatten_var_0 @ Y ) ) | 74.44/10.36 ( ( zip_tseitin_3 @ 74.44/10.36 Bound_variable_866 @ Bound_variable_864 @ Y @ Q @ P ) & 74.44/10.36 ( zip_tseitin_2 @ 74.44/10.36 Bound_variable_851 @ Bound_variable_849 @ Y @ Q @ P ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i,Bound_variable_771:$i]: 74.44/10.36 ( zip_tseitin_1 @ Bound_variable_771 @ Y @ Flatten_var_0 @ Q @ P ) ) & 74.44/10.36 ( ![Y:$i,Bound_variable_718:$i]: 74.44/10.36 ( zip_tseitin_0 @ Bound_variable_718 @ Y @ Flatten_var_0 @ Q @ P ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( ior @ P @ Q @ Flatten_var_0 ) <=> 74.44/10.36 ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 74.44/10.36 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),Flatten_var_0:$i]: 74.44/10.36 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) & 74.44/10.36 ( ![P:( $i > $o ),X:$i]: 74.44/10.36 ( ( mbox_s4 @ P @ X ) <=> 74.44/10.36 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ X @ Y ) ) ) ) ) ) & 74.44/10.36 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]: 74.44/10.36 ( ( mor @ X @ Y @ U ) <=> ( ( X @ U ) | ( Y @ U ) ) ) ) & 74.44/10.36 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) & 74.44/10.36 ( ![DU1:d_unsorted,DU2:d_unsorted]: 74.44/10.36 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) => 74.44/10.36 ( ( DU1 ) = ( DU2 ) ) ) ))). 74.44/10.36 thf(zip_derived_cl65, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 74.44/10.36 ( (iimplies @ X0 @ X1 @ X2) | ~ (X1 @ (sk__8 @ X2 @ X1)))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl66, plain, 74.44/10.36 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]: 74.44/10.36 (~ (irel @ X0 @ X1) 74.44/10.36 | (X2 @ X1) 74.44/10.36 | ~ (X3 @ (sk__9 @ X0 @ X3)) 74.44/10.36 | ~ (iimplies @ X3 @ X2 @ X0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl49, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: ( (isatisfiable @ X0) | ~ (X0 @ X1))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl79, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i, X2 : $i > $o]: 74.44/10.36 (~ (X0 @ X1) | (X2 @ X1) | ~ (mimplies @ X0 @ X2 @ X1))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl51, plain, 74.44/10.36 (![X0 : $i > $o]: ( (iinvalid @ X0) | (X0 @ (sk__13 @ X0)))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl52, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ X1) | ~ (iinvalid @ X0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl30, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: 74.44/10.36 ( (mbox_s4 @ X0 @ X1) | ~ (X0 @ (sk__27 @ X1 @ X0)))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl78, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 74.44/10.36 ( (mimplies @ X0 @ X1 @ X2) | (X0 @ X2))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(iimplies, conjecture, 74.44/10.36 (![P:( $i > $o ),Q:( $i > $o ),X_2:$i]: 74.44/10.36 ( ( iimplies @ P @ Q @ X_2 ) <=> 74.44/10.36 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) @ X_2 ) ))). 74.44/10.36 thf(zf_stmt_9, negated_conjecture, 74.44/10.36 (~( ![P:( $i > $o ),Q:( $i > $o ),X_2:$i]: 74.44/10.36 ( ( iimplies @ P @ Q @ X_2 ) <=> 74.44/10.36 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) @ X_2 ) ) )), 74.44/10.36 inference('cnf.neg', [status(esa)], [iimplies])). 74.44/10.36 thf(zip_derived_cl85, plain, 74.44/10.36 (( (mimplies @ (mbox_s4 @ sk__28) @ (mbox_s4 @ sk__29) @ sk__30) 74.44/10.36 | (iimplies @ sk__28 @ sk__29 @ sk__30))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_9])). 74.44/10.36 thf(zip_derived_cl25, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: ( (mnot @ X0 @ X1) | (X0 @ X1))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl48, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: ( (X0 @ X1) | ~ (ivalid @ X0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl77, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 74.44/10.36 ( (mimplies @ X0 @ X1 @ X2) | ~ (X1 @ X2))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl32, plain, 74.44/10.36 (![X0 : $i, X1 : $i, X2 : $i > $o]: 74.44/10.36 (~ (irel @ X0 @ X1) | (X2 @ X1) | ~ (mbox_s4 @ X2 @ X0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl63, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]: 74.44/10.36 ( (iimplies @ X0 @ X1 @ X2) | (X0 @ X3) | ~ (irel @ X2 @ X3))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl86, plain, 74.44/10.36 ((~ (mimplies @ (mbox_s4 @ sk__28) @ (mbox_s4 @ sk__29) @ sk__30) 74.44/10.36 | ~ (iimplies @ sk__28 @ sk__29 @ sk__30))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_9])). 74.44/10.36 thf(zip_derived_cl76, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: 74.44/10.36 (~ (X0 @ (sk__5 @ X1 @ X0)) | ~ (inot @ X0 @ X1))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl50, plain, 74.44/10.36 (![X0 : $i > $o]: ( (X0 @ (sk__14 @ X0)) | ~ (isatisfiable @ X0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl47, plain, 74.44/10.36 (![X0 : $i > $o]: ( (ivalid @ X0) | ~ (X0 @ (sk__15 @ X0)))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl56, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: ( (icountersatisfiable @ X0) | (X0 @ X1))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl74, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i, X2 : $i]: 74.44/10.36 ( (inot @ X0 @ X1) | (X0 @ X2) | ~ (irel @ X1 @ X2))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl26, plain, 74.44/10.36 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ X1) | ~ (mnot @ X0 @ X1))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl53, plain, 74.44/10.36 ( (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl84, plain, 74.44/10.36 (![X0 : $i]: ((X0) = (d2unsorted @ (sk__4 @ X0)))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl83, plain, (![X0 : d_unsorted]: ((X0) = (d_unsorted_0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl93, plain, 74.44/10.36 (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))), 74.44/10.36 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl83])). 74.44/10.36 thf(zip_derived_cl93, plain, 74.44/10.36 (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))), 74.44/10.36 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl83])). 74.44/10.36 thf(zip_derived_cl96, plain, (![X0 : $i, X1 : $i]: ((X1) = (X0))), 74.44/10.36 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl93])). 74.44/10.36 thf(zip_derived_cl57, plain, 74.44/10.36 (![X0 : $i > $o]: (~ (X0 @ (sk__12 @ X0)) | ~ (icountersatisfiable @ X0))), 74.44/10.36 inference('cnf', [status(esa)], [zf_stmt_8])). 74.44/10.36 thf(zip_derived_cl6851, plain, ($false), 74.44/10.36 inference('eprover', [status(thm)], 74.44/10.36 [zip_derived_cl65, zip_derived_cl66, zip_derived_cl49, 74.44/10.36 zip_derived_cl79, zip_derived_cl51, zip_derived_cl52, 74.44/10.36 zip_derived_cl30, zip_derived_cl78, zip_derived_cl85, 74.44/10.36 zip_derived_cl25, zip_derived_cl48, zip_derived_cl77, 74.44/10.36 zip_derived_cl32, zip_derived_cl63, zip_derived_cl86, 74.44/10.36 zip_derived_cl76, zip_derived_cl50, zip_derived_cl47, 74.44/10.36 zip_derived_cl56, zip_derived_cl74, zip_derived_cl26, 74.44/10.36 zip_derived_cl53, zip_derived_cl96, zip_derived_cl57])). 74.44/10.36 74.44/10.36 % SZS output end Refutation 74.44/10.36 74.44/10.36 74.44/10.36 % Terminating... 10.65/10.44 % Runner terminated. 10.65/10.47 % Zipperpin 1.5 exiting 10.65/10.48 EOF