0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mVZ7nBTiye true
0.16/0.42	% Computer : n005.cluster.edu
0.16/0.42	% Model    : x86_64 x86_64
0.16/0.42	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.42	% Memory   : 8046.5625MB
0.16/0.42	% OS       : Linux 6.8.0-71-generic
0.16/0.42	% CPULimit : 1440
0.16/0.42	% WCLimit  : 180
0.16/0.42	% DateTime : Mon Jul 27 12:45:19 UTC 2026
0.16/0.43	% CPUTime  : 
0.16/0.43	% Running portfolio for 1440 s
0.16/0.43	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.16/0.43	% Number of cores: 8
0.16/0.43	% Python version: Python 3.12.3
0.16/0.44	% Running in HO mode
0.38/0.83	% Total configuration time : 828
0.38/0.83	% Estimated wc time : 1656
0.38/0.83	% Estimated cpu time (8 cpus) : 207.0
0.40/0.92	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.40/1.02	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.40/1.02	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.40/1.02	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.40/1.02	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.40/1.03	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.40/1.03	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.40/1.03	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
224.73/30.85	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
279.81/41.07	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
418.99/61.10	% /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
387.91/71.11	% /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
534.11/80.96	% /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
534.11/80.97	% /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
534.11/81.10	% /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
658.97/89.89	% Solved by lams/33_shallow_sine.sh.
658.97/89.89	% done 166 iterations in 8.806s
658.97/89.89	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
658.97/89.89	% SZS output start Refutation
658.97/89.89	thf(d_unsorted_type, type, d_unsorted: $tType).
658.97/89.89	thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(d_unsorted_0_type, type, d_unsorted_0: d_unsorted).
658.97/89.89	thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(sk__9_type, type, sk__9: ($i > $o) > $i).
658.97/89.89	thf(sk__27_type, type, sk__27: $i > $o).
658.97/89.89	thf(sk__25_type, type, sk__25: $i > ($i > $o) > $i).
658.97/89.89	thf(sk__19_type, type, sk__19: $i > ($i > $o) > ($i > $o) > $i).
658.97/89.89	thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > ($i > $o) > 
658.97/89.89	                                             ($i > $o) > $o).
658.97/89.89	thf(inot_type, type, inot: ($i > $o) > $i > $o).
658.97/89.89	thf(ixor_type, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(sk__1_type, type, sk__1: ($i > $o) > $i > $i).
658.97/89.89	thf(sk__28_type, type, sk__28: $i > $o).
658.97/89.89	thf(iequiv_type, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(isatisfiable_type, type, isatisfiable: ($i > $o) > $o).
658.97/89.89	thf(sk__23_type, type, sk__23: $i > ($i > $o) > $i).
658.97/89.89	thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
658.97/89.89	thf(sk__29_type, type, sk__29: $i).
658.97/89.89	thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
658.97/89.89	thf(itrue_type, type, itrue: $i > $o).
658.97/89.89	thf(icountersatisfiable_type, type, icountersatisfiable: ($i > $o) > $o).
658.97/89.89	thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
658.97/89.89	thf(sk__17_type, type, sk__17: $i > ($i > $o) > ($i > $o) > $i).
658.97/89.89	thf(sk__26_type, type, sk__26: $i > ($i > $o) > $i).
658.97/89.89	thf(sk__8_type, type, sk__8: ($i > $o) > $i).
658.97/89.89	thf(sk__10_type, type, sk__10: ($i > $o) > $i).
658.97/89.89	thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(sk__3_type, type, sk__3: $i > d_unsorted).
658.97/89.89	thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > ($i > $o) > 
658.97/89.89	                                             ($i > $o) > $o).
658.97/89.89	thf(d2unsorted_type, type, d2unsorted: d_unsorted > $i).
658.97/89.89	thf(ifalse_type, type, ifalse: $i > $o).
658.97/89.89	thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > ($i > $o) > 
658.97/89.89	                                             ($i > $o) > $o).
658.97/89.89	thf(irel_type, type, irel: $i > $i > $o).
658.97/89.89	thf(sk__24_type, type, sk__24: $i > ($i > $o) > $i).
658.97/89.89	thf(iinvalid_type, type, iinvalid: ($i > $o) > $o).
658.97/89.89	thf(sk__20_type, type, sk__20: $i > ($i > $o) > ($i > $o) > $i).
658.97/89.89	thf(sk__18_type, type, sk__18: $i > ($i > $o) > ($i > $o) > $i).
658.97/89.89	thf(ivalid_type, type, ivalid: ($i > $o) > $o).
658.97/89.89	thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(iimplied_type, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
658.97/89.89	thf(sk__type, type, sk_: ($i > $o) > $i > $i).
658.97/89.89	thf(lcl696_1, axiom,
658.97/89.89	  (( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) & 
658.97/89.89	   ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( mimplies @ U @ V @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ~( U @ Flatten_var_0 ) ) | ( V @ Flatten_var_0 ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iand @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) & 
658.97/89.89	         ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 
658.97/89.89	         ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 
658.97/89.89	         ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i,Bound_variable_718:$i]:
658.97/89.89	           ( ( ~( ![Bound_variable_693:$i]:
658.97/89.89	                  ( ( ~( irel @ Y @ Bound_variable_693 ) ) | 
658.97/89.89	                    ( P @ Bound_variable_693 ) ) ) ) | 
658.97/89.89	             ( ~( irel @ Y @ Bound_variable_718 ) ) | 
658.97/89.89	             ( Q @ Bound_variable_718 ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) & 
658.97/89.89	         ( ![Y:$i,Bound_variable_771:$i]:
658.97/89.89	           ( ( ~( irel @ Flatten_var_0 @ Y ) ) | 
658.97/89.89	             ( ~( irel @ Y @ Bound_variable_771 ) ) | 
658.97/89.89	             ( P @ Bound_variable_771 ) | 
658.97/89.89	             ( ~( ![Bound_variable_746:$i]:
658.97/89.89	                  ( ( Q @ Bound_variable_746 ) | 
658.97/89.89	                    ( ~( irel @ Y @ Bound_variable_746 ) ) ) ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( ixor @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ~( ![Y:$i,Bound_variable_849:$i,Bound_variable_851:$i,
658.97/89.89	              Bound_variable_864:$i,Bound_variable_866:$i]:
658.97/89.89	            ( ( ~( irel @ Flatten_var_0 @ Y ) ) | 
658.97/89.89	              ( ( ( ~( irel @ Y @ Bound_variable_864 ) ) | 
658.97/89.89	                  ( P @ Bound_variable_866 ) | 
658.97/89.89	                  ( ~( irel @ Bound_variable_864 @ Bound_variable_866 ) ) | 
658.97/89.89	                  ( ~( ![Bound_variable_746:$i]:
658.97/89.89	                       ( ( Q @ Bound_variable_746 ) | 
658.97/89.89	                         ( ~( irel @ Bound_variable_864 @ Bound_variable_746 ) ) ) ) ) ) & 
658.97/89.89	                ( ( ~( ![Bound_variable_693:$i]:
658.97/89.89	                       ( ( ~( irel @ Bound_variable_849 @ Bound_variable_693 ) ) | 
658.97/89.89	                         ( P @ Bound_variable_693 ) ) ) ) | 
658.97/89.89	                  ( ~( irel @ Bound_variable_849 @ Bound_variable_851 ) ) | 
658.97/89.89	                  ( Q @ Bound_variable_851 ) | 
658.97/89.89	                  ( ~( irel @ Y @ Bound_variable_849 ) ) ) ) ) ) ) ) ) & 
658.97/89.89	   ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) & 
658.97/89.89	   ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) & 
658.97/89.89	   ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]:
658.97/89.89	     ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]:
658.97/89.89	     ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]:
658.97/89.89	     ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( ior @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) | 
658.97/89.89	         ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( inot @ P @ Flatten_var_0 ) <=>
658.97/89.89	       ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),X:$i]:
658.97/89.89	     ( ( mbox_s4 @ P @ X ) <=>
658.97/89.89	       ( ![Y:$i]: ( ( ~( irel @ X @ Y ) ) | ( P @ Y ) ) ) ) ) & 
658.97/89.89	   ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
658.97/89.89	     ( ( mand @ X @ Y @ U ) <=> ( ( Y @ U ) & ( X @ U ) ) ) ) & 
658.97/89.89	   ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
658.97/89.89	     ( ( mor @ X @ Y @ U ) <=> ( ( X @ U ) | ( Y @ U ) ) ) ) & 
658.97/89.89	   ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) & 
658.97/89.89	   ( ![DU1:d_unsorted,DU2:d_unsorted]:
658.97/89.89	     ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) =>
658.97/89.89	       ( ( DU1 ) = ( DU2 ) ) ) ) & 
658.97/89.89	   ( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ))).
658.97/89.89	thf(zf_stmt_0, type, zip_tseitin_2 :
658.97/89.89	    $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
658.97/89.89	thf(zf_stmt_1, axiom,
658.97/89.89	  (![Bound_variable_866:$i,Bound_variable_864:$i,Y:$i,Q:( $i > $o ),
658.97/89.89	     P:( $i > $o )]:
658.97/89.89	   ( ( zip_tseitin_2 @ Bound_variable_866 @ Bound_variable_864 @ Y @ Q @ P ) <=>
658.97/89.89	     ( ( ~( ![Bound_variable_746:$i]:
658.97/89.89	            ( ( ~( irel @ Bound_variable_864 @ Bound_variable_746 ) ) | 
658.97/89.89	              ( Q @ Bound_variable_746 ) ) ) ) | 
658.97/89.89	       ( ~( irel @ Bound_variable_864 @ Bound_variable_866 ) ) | 
658.97/89.89	       ( P @ Bound_variable_866 ) | ( ~( irel @ Y @ Bound_variable_864 ) ) ) ))).
658.97/89.89	thf(zf_stmt_2, type, zip_tseitin_1 :
658.97/89.89	    $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
658.97/89.89	thf(zf_stmt_3, axiom,
658.97/89.89	  (![Bound_variable_771:$i,Y:$i,Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]:
658.97/89.89	   ( ( zip_tseitin_1 @ Bound_variable_771 @ Y @ Flatten_var_0 @ Q @ P ) <=>
658.97/89.89	     ( ( ~( ![Bound_variable_746:$i]:
658.97/89.89	            ( ( ~( irel @ Y @ Bound_variable_746 ) ) | 
658.97/89.89	              ( Q @ Bound_variable_746 ) ) ) ) | 
658.97/89.89	       ( P @ Bound_variable_771 ) | ( ~( irel @ Y @ Bound_variable_771 ) ) | 
658.97/89.89	       ( ~( irel @ Flatten_var_0 @ Y ) ) ) ))).
658.97/89.89	thf(zf_stmt_4, type, zip_tseitin_0 :
658.97/89.89	    $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
658.97/89.89	thf(zf_stmt_5, axiom,
658.97/89.89	  (![Bound_variable_718:$i,Y:$i,Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]:
658.97/89.89	   ( ( zip_tseitin_0 @ Bound_variable_718 @ Y @ Flatten_var_0 @ Q @ P ) <=>
658.97/89.89	     ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Bound_variable_718 ) | 
658.97/89.89	       ( ~( irel @ Y @ Bound_variable_718 ) ) | 
658.97/89.89	       ( ~( ![Bound_variable_693:$i]:
658.97/89.89	            ( ( P @ Bound_variable_693 ) | 
658.97/89.89	              ( ~( irel @ Y @ Bound_variable_693 ) ) ) ) ) ) ))).
658.97/89.89	thf(zf_stmt_6, axiom,
658.97/89.89	  (( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ) & 
658.97/89.89	   ( ![DU1:d_unsorted,DU2:d_unsorted]:
658.97/89.89	     ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) =>
658.97/89.89	       ( ( DU1 ) = ( DU2 ) ) ) ) & 
658.97/89.89	   ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) & 
658.97/89.89	   ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
658.97/89.89	     ( ( mor @ X @ Y @ U ) <=> ( ( Y @ U ) | ( X @ U ) ) ) ) & 
658.97/89.89	   ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
658.97/89.89	     ( ( mand @ X @ Y @ U ) <=> ( ( X @ U ) & ( Y @ U ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),X:$i]:
658.97/89.89	     ( ( mbox_s4 @ P @ X ) <=>
658.97/89.89	       ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ X @ Y ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( inot @ P @ Flatten_var_0 ) <=>
658.97/89.89	       ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( ior @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) | 
658.97/89.89	         ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]:
658.97/89.89	     ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]:
658.97/89.89	     ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) & 
658.97/89.89	   ( ![Phi:( $i > $o )]:
658.97/89.89	     ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) & 
658.97/89.89	   ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) & 
658.97/89.89	   ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) & 
658.97/89.89	   ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( ixor @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ~( ![Y:$i,Bound_variable_849:$i,Bound_variable_851:$i,
658.97/89.89	              Bound_variable_864:$i,Bound_variable_866:$i]:
658.97/89.89	            ( ( ( zip_tseitin_0 @
658.97/89.89	                  Bound_variable_851 @ Bound_variable_849 @ Y @ Q @ P ) & 
658.97/89.89	                ( zip_tseitin_2 @
658.97/89.89	                  Bound_variable_866 @ Bound_variable_864 @ Y @ Q @ P ) ) | 
658.97/89.89	              ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i,Bound_variable_771:$i]:
658.97/89.89	           ( zip_tseitin_1 @ Bound_variable_771 @ Y @ Flatten_var_0 @ Q @ P ) ) & 
658.97/89.89	         ( ![Y:$i,Bound_variable_718:$i]:
658.97/89.89	           ( zip_tseitin_0 @ Bound_variable_718 @ Y @ Flatten_var_0 @ Q @ P ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) | 
658.97/89.89	         ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) | 
658.97/89.89	         ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iand @ P @ Q @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) & 
658.97/89.89	         ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) & 
658.97/89.89	   ( ![P:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) & 
658.97/89.89	   ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]:
658.97/89.89	     ( ( mimplies @ U @ V @ Flatten_var_0 ) <=>
658.97/89.89	       ( ( V @ Flatten_var_0 ) | ( ~( U @ Flatten_var_0 ) ) ) ) ) & 
658.97/89.89	   ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ))).
658.97/89.89	thf(zip_derived_cl55, plain,
658.97/89.89	    (![X0 : $i > $o]: ( (X0 @ (sk__9 @ X0)) | ~ (isatisfiable @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl54, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i]: ( (isatisfiable @ X0) | ~ (X0 @ X1))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl5, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o, X5 : $i]:
658.97/89.89	       ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
658.97/89.89	        |  (X4 @ X5)
658.97/89.89	        | ~ (irel @ X1 @ X5))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_5])).
658.97/89.89	thf(zip_derived_cl8, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o, X5 : $i]:
658.97/89.89	       ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4)
658.97/89.89	        | ~ (irel @ X1 @ X5)
658.97/89.89	        |  (X3 @ X5))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_3])).
658.97/89.89	thf(zip_derived_cl32, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
658.97/89.89	       ( (iimplies @ X0 @ X1 @ X2) | ~ (irel @ X2 @ X3) |  (X0 @ X3))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl30, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
658.97/89.89	       ( (iimplies @ X0 @ X1 @ X2) | ~ (X1 @ (sk__23 @ X2 @ X1)))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl75, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i]: ( (mnot @ X0 @ X1) |  (X0 @ X1))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl3, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
658.97/89.89	       ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (X3 @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_5])).
658.97/89.89	thf(iequiv, conjecture,
658.97/89.89	  (![P:( $i > $o ),Q:( $i > $o ),X_2:$i]:
658.97/89.89	   ( ( iequiv @ P @ Q @ X_2 ) <=>
658.97/89.89	     ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) @ X_2 ) ))).
658.97/89.89	thf(zf_stmt_7, negated_conjecture,
658.97/89.89	  (~( ![P:( $i > $o ),Q:( $i > $o ),X_2:$i]:
658.97/89.89	      ( ( iequiv @ P @ Q @ X_2 ) <=>
658.97/89.89	        ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) @ X_2 ) ) )),
658.97/89.89	  inference('cnf.neg', [status(esa)], [iequiv])).
658.97/89.89	thf(zip_derived_cl80, plain,
658.97/89.89	    ((~ (iand @ (iimplies @ sk__27 @ sk__28) @ 
658.97/89.89	         (iimplies @ sk__28 @ sk__27) @ sk__29)
658.97/89.89	      | ~ (iequiv @ sk__27 @ sk__28 @ sk__29))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_7])).
658.97/89.89	thf(zip_derived_cl41, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
658.97/89.89	       ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (iequiv @ X4 @ X3 @ X2))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl9, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
658.97/89.89	       ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (X4 @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_3])).
658.97/89.89	thf(zip_derived_cl27, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
658.97/89.89	       ( (iand @ X0 @ X1 @ X2)
658.97/89.89	        | ~ (X0 @ (sk__25 @ X2 @ X0))
658.97/89.89	        | ~ (X1 @ (sk__26 @ X2 @ X1)))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl28, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
658.97/89.89	       (~ (irel @ X0 @ X1) |  (X2 @ X1) | ~ (iand @ X3 @ X2 @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl40, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
658.97/89.89	       ( (iequiv @ X0 @ X1 @ X2)
658.97/89.89	        | ~ (zip_tseitin_0 @ (sk__18 @ X2 @ X1 @ X0) @ 
658.97/89.89	             (sk__17 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0)
658.97/89.89	        | ~ (zip_tseitin_1 @ (sk__20 @ X2 @ X1 @ X0) @ 
658.97/89.89	             (sk__19 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl6, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
658.97/89.89	       (~ (irel @ X0 @ X1)
658.97/89.89	        | ~ (irel @ X1 @ X2)
658.97/89.89	        |  (X3 @ X2)
658.97/89.89	        | ~ (X4 @ (sk__1 @ X4 @ X1))
658.97/89.89	        | ~ (zip_tseitin_1 @ X2 @ X1 @ X0 @ X4 @ X3))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_3])).
658.97/89.89	thf(zip_derived_cl79, plain,
658.97/89.89	    (( (iand @ (iimplies @ sk__27 @ sk__28) @ (iimplies @ sk__28 @ sk__27) @ 
658.97/89.89	        sk__29)
658.97/89.89	      |  (iequiv @ sk__27 @ sk__28 @ sk__29))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_7])).
658.97/89.89	thf(zip_derived_cl52, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i]: ( (icountersatisfiable @ X0) |  (X0 @ X1))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl53, plain,
658.97/89.89	    (![X0 : $i > $o]: (~ (X0 @ (sk__10 @ X0)) | ~ (icountersatisfiable @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl76, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i]: (~ (X0 @ X1) | ~ (mnot @ X0 @ X1))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl42, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
658.97/89.89	       ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (iequiv @ X4 @ X3 @ X2))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl29, plain,
658.97/89.89	    (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
658.97/89.89	       (~ (irel @ X0 @ X1) |  (X2 @ X1) | ~ (iand @ X2 @ X3 @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl34, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i]:
658.97/89.89	       (~ (X0 @ (sk__24 @ X1 @ X0))
658.97/89.89	        |  (X2 @ X3)
658.97/89.89	        | ~ (irel @ X1 @ X3)
658.97/89.89	        | ~ (iimplies @ X0 @ X2 @ X1))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl0, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i]:
658.97/89.89	       (~ (X0 @ (sk_ @ X0 @ X1))
658.97/89.89	        | ~ (irel @ X1 @ X2)
658.97/89.89	        |  (X3 @ X2)
658.97/89.89	        | ~ (irel @ X4 @ X1)
658.97/89.89	        | ~ (zip_tseitin_0 @ X2 @ X1 @ X4 @ X3 @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_5])).
658.97/89.89	thf(zip_derived_cl49, plain,
658.97/89.89	    ( (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl78, plain,
658.97/89.89	    (![X0 : $i]: ((X0) = (d2unsorted @ (sk__3 @ X0)))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl18, plain, (![X0 : d_unsorted]: ((X0) = (d_unsorted_0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl87, plain,
658.97/89.89	    (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))),
658.97/89.89	    inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl18])).
658.97/89.89	thf(zip_derived_cl87, plain,
658.97/89.89	    (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))),
658.97/89.89	    inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl18])).
658.97/89.89	thf(zip_derived_cl90, plain, (![X0 : $i, X1 : $i]: ((X1) = (X0))),
658.97/89.89	    inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
658.97/89.89	thf(zip_derived_cl56, plain,
658.97/89.89	    (![X0 : $i > $o]: ( (ivalid @ X0) | ~ (X0 @ (sk__8 @ X0)))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl57, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i]: ( (X0 @ X1) | ~ (ivalid @ X0))),
658.97/89.89	    inference('cnf', [status(esa)], [zf_stmt_6])).
658.97/89.89	thf(zip_derived_cl1743, plain,
658.97/89.89	    (![X0 : $i > $o, X1 : $i]: (~ (X0 @ (sk__8 @ X0)) |  (X0 @ X1))),
658.97/89.89	    inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl57])).
658.97/89.89	thf(zip_derived_cl4636, plain, ($false),
658.97/89.89	    inference('eprover', [status(thm)],
658.97/89.89	              [zip_derived_cl55, zip_derived_cl54, zip_derived_cl5, 
658.97/89.89	               zip_derived_cl8, zip_derived_cl32, zip_derived_cl30, 
658.97/89.89	               zip_derived_cl75, zip_derived_cl3, zip_derived_cl80, 
658.97/89.89	               zip_derived_cl41, zip_derived_cl9, zip_derived_cl27, 
658.97/89.89	               zip_derived_cl28, zip_derived_cl40, zip_derived_cl6, 
658.97/89.89	               zip_derived_cl79, zip_derived_cl52, zip_derived_cl53, 
658.97/89.89	               zip_derived_cl76, zip_derived_cl42, zip_derived_cl29, 
658.97/89.89	               zip_derived_cl34, zip_derived_cl0, zip_derived_cl49, 
658.97/89.89	               zip_derived_cl90, zip_derived_cl1743])).
658.97/89.89	
658.97/89.89	% SZS output end Refutation
658.97/89.89	
658.97/89.89	
658.97/89.89	% Terminating...
493.98/89.97	% Runner terminated.
493.98/90.00	% Zipperpin 1.5 exiting
493.98/90.01	EOF