0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xE1RSCw8EV true
0.15/0.35	% Computer : n029.cluster.edu
0.15/0.35	% Model    : x86_64 x86_64
0.15/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory   : 8042.1875MB
0.15/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit : 1440
0.15/0.35	% WCLimit  : 180
0.15/0.35	% DateTime : Mon Jul  3 11:19:42 EDT 2023
0.15/0.35	% CPUTime  : 
0.15/0.35	% Running portfolio for 1440 s
0.15/0.35	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.36	% Number of cores: 8
0.15/0.36	% Python version: Python 3.6.8
0.15/0.36	% Running in HO mode
0.55/0.66	% Total configuration time : 828
0.55/0.66	% Estimated wc time : 1656
0.55/0.66	% Estimated cpu time (8 cpus) : 207.0
0.55/0.70	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.56/0.72	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.56/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.56/0.75	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.56/0.76	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.56/0.76	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.57/0.78	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.57/0.79	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
15.86/2.63	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
158.16/20.70	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
158.16/20.70	% Solved by lams/40_c.s.sh.
158.16/20.70	% done 841 iterations in 19.960s
158.16/20.70	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
158.16/20.70	% SZS output start Refutation
158.16/20.70	thf(emptyset_type, type, emptyset: $i).
158.16/20.70	thf(lessis_type, type, lessis: $i > $i > $o).
158.16/20.70	thf(diffprop_type, type, diffprop: $i > $i > $i > $o).
158.16/20.70	thf(omega_type, type, omega: $i).
158.16/20.70	thf(d_not_type, type, d_not: $o > $o).
158.16/20.70	thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
158.16/20.70	thf(in_type, type, in: $i > $i > $o).
158.16/20.70	thf(e_is_type, type, e_is: $i > $i > $i > $o).
158.16/20.70	thf(nat_type, type, nat: $i).
158.16/20.70	thf(iii_type, type, iii: $i > $i > $o).
158.16/20.70	thf(l_or_type, type, l_or: $o > $o > $o).
158.16/20.70	thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i).
158.16/20.70	thf(sk__2_type, type, sk__2: $i).
158.16/20.70	thf(imp_type, type, imp: $o > $o > $o).
158.16/20.70	thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
158.16/20.70	thf(sk__4_type, type, sk__4: $i).
158.16/20.70	thf(sk__3_type, type, sk__3: $i).
158.16/20.70	thf(n_is_type, type, n_is: $i > $i > $o).
158.16/20.70	thf(n_some_type, type, n_some: ($i > $o) > $o).
158.16/20.70	thf(d_29_ii_type, type, d_29_ii: $i > $i > $o).
158.16/20.70	thf(def_lessis, axiom,(( lessis  ) =
158.16/20.70	  (^[X0:$i,X1:$i]: ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) )))).
158.16/20.70	thf(def_iii, axiom,(( iii  ) =
158.16/20.70	  (^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X1 @ X0 ) )))).
158.16/20.70	thf('0', plain,
158.16/20.70	    (( iii ) = ( ^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X1 @ X0 ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_iii])).
158.16/20.70	thf('1', plain,
158.16/20.70	    (( iii ) = ( ^[V_1:$i,V_2:$i]: ( n_some @ ( diffprop @ V_2 @ V_1 ) ) )),
158.16/20.70	    define([status(thm)])).thf(def_n_is, axiom,(( n_is  ) = (e_is @ nat))).
158.16/20.70	thf(def_nat, axiom,(( nat  ) =
158.16/20.70	  (d_Sep @ omega @ ( ^[X0:$i]: ( ( X0 ) != ( emptyset ) ) )))).
158.16/20.70	thf('2', plain,
158.16/20.70	    (( nat ) = ( d_Sep @ omega @ ( ^[X0:$i]: ( ( X0 ) != ( emptyset ) ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_nat])).
158.16/20.70	thf('3', plain,
158.16/20.70	    (( nat ) = ( d_Sep @ omega @ ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf(def_e_is, axiom,(( e_is  ) = (^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) )))).
158.16/20.70	thf('4', plain, (( e_is ) = ( ^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_e_is])).
158.16/20.70	thf('5', plain,
158.16/20.70	    (( e_is ) = ( ^[V_1:$i,V_2:$i,V_3:$i]: ( ( V_2 ) = ( V_3 ) ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf('6', plain, (( n_is ) = ( e_is @ nat )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_n_is, '3', '5'])).
158.16/20.70	thf('7', plain, (( n_is ) = ( e_is @ nat )), define([status(thm)])).
158.16/20.70	thf(def_l_or, axiom,(( l_or  ) = (^[X0:$o]: ( imp @ ( d_not @ X0 ) )))).
158.16/20.70	thf(def_d_not, axiom,(( d_not  ) = (^[X0:$o]: ( imp @ X0 @ $false )))).
158.16/20.70	thf(def_imp, axiom,(( imp  ) = (^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) )))).
158.16/20.70	thf('8', plain, (( imp ) = ( ^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_imp])).
158.16/20.70	thf('9', plain, (( imp ) = ( ^[V_1:$o,V_2:$o]: ( ( V_1 ) => ( V_2 ) ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf('10', plain, (( d_not ) = ( ^[X0:$o]: ( imp @ X0 @ $false ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_d_not, '9'])).
158.16/20.70	thf('11', plain, (( d_not ) = ( ^[V_1:$o]: ( imp @ V_1 @ $false ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf('12', plain, (( l_or ) = ( ^[X0:$o]: ( imp @ ( d_not @ X0 ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_l_or, '11', '9'])).
158.16/20.70	thf('13', plain, (( l_or ) = ( ^[V_1:$o]: ( imp @ ( d_not @ V_1 ) ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf('14', plain,
158.16/20.70	    (( lessis ) =
158.16/20.70	     ( ^[X0:$i,X1:$i]: ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)],
158.16/20.70	              [def_lessis, '1', '7', '3', '5', '13', '11', '9'])).
158.16/20.70	thf('15', plain,
158.16/20.70	    (( lessis ) =
158.16/20.70	     ( ^[V_1:$i,V_2:$i]:
158.16/20.70	       ( l_or @ ( iii @ V_1 @ V_2 ) @ ( n_is @ V_1 @ V_2 ) ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf(def_all_of, axiom,(( all_of  ) =
158.16/20.70	  (^[X0:( $i > $o ),X1:( $i > $o )]:
158.16/20.70	   ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))).
158.16/20.70	thf('16', plain,
158.16/20.70	    (( all_of ) =
158.16/20.70	     ( ^[X0:( $i > $o ),X1:( $i > $o )]:
158.16/20.70	       ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )),
158.16/20.70	    inference('simplify_rw_rule', [status(thm)], [def_all_of])).
158.16/20.70	thf('17', plain,
158.16/20.70	    (( all_of ) =
158.16/20.70	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
158.16/20.70	       ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )),
158.16/20.70	    define([status(thm)])).
158.16/20.70	thf(satz16a, conjecture,
158.16/20.70	  (all_of @
158.16/20.70	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
158.16/20.70	   ( ^[X0:$i]:
158.16/20.70	     ( all_of @
158.16/20.70	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
158.16/20.70	       ( ^[X1:$i]:
158.16/20.70	         ( all_of @
158.16/20.70	           ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 
158.16/20.70	           ( ^[X2:$i]:
158.16/20.70	             ( ( lessis @ X0 @ X1 ) =>
158.16/20.70	               ( ( iii @ X1 @ X2 ) => ( iii @ X0 @ X2 ) ) ) ) ) ) ) ))).
158.16/20.70	thf(zf_stmt_0, conjecture,
158.16/20.70	  (![X4:$i]:
158.16/20.70	   ( ( is_of @
158.16/20.70	       X4 @ 
158.16/20.70	       ( ^[V_1:$i]:
158.16/20.70	         ( in @
158.16/20.70	           V_1 @ 
158.16/20.70	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	     ( ![X6:$i]:
158.16/20.70	       ( ( is_of @
158.16/20.70	           X6 @ 
158.16/20.70	           ( ^[V_3:$i]:
158.16/20.70	             ( in @
158.16/20.70	               V_3 @ 
158.16/20.70	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	         ( ![X8:$i]:
158.16/20.70	           ( ( is_of @
158.16/20.70	               X8 @ 
158.16/20.70	               ( ^[V_5:$i]:
158.16/20.70	                 ( in @
158.16/20.70	                   V_5 @ 
158.16/20.70	                   ( d_Sep @
158.16/20.70	                     omega @ ( ^[V_6:$i]: ( ( V_6 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	             ( ( ( ~( n_some @ ( diffprop @ X6 @ X4 ) ) ) =>
158.16/20.70	                 ( ( X4 ) = ( X6 ) ) ) =>
158.16/20.70	               ( ( n_some @ ( diffprop @ X8 @ X6 ) ) =>
158.16/20.70	                 ( n_some @ ( diffprop @ X8 @ X4 ) ) ) ) ) ) ) ) ))).
158.16/20.70	thf(zf_stmt_1, negated_conjecture,
158.16/20.70	  (~( ![X4:$i]:
158.16/20.70	      ( ( is_of @
158.16/20.70	          X4 @ 
158.16/20.70	          ( ^[V_1:$i]:
158.16/20.70	            ( in @
158.16/20.70	              V_1 @ 
158.16/20.70	              ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	        ( ![X6:$i]:
158.16/20.70	          ( ( is_of @
158.16/20.70	              X6 @ 
158.16/20.70	              ( ^[V_3:$i]:
158.16/20.70	                ( in @
158.16/20.70	                  V_3 @ 
158.16/20.70	                  ( d_Sep @
158.16/20.70	                    omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	            ( ![X8:$i]:
158.16/20.70	              ( ( is_of @
158.16/20.70	                  X8 @ 
158.16/20.70	                  ( ^[V_5:$i]:
158.16/20.70	                    ( in @
158.16/20.70	                      V_5 @ 
158.16/20.70	                      ( d_Sep @
158.16/20.70	                        omega @ ( ^[V_6:$i]: ( ( V_6 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	                ( ( ( ~( n_some @ ( diffprop @ X6 @ X4 ) ) ) =>
158.16/20.70	                    ( ( X4 ) = ( X6 ) ) ) =>
158.16/20.70	                  ( ( n_some @ ( diffprop @ X8 @ X6 ) ) =>
158.16/20.70	                    ( n_some @ ( diffprop @ X8 @ X4 ) ) ) ) ) ) ) ) ) )),
158.16/20.70	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
158.16/20.70	thf(zip_derived_cl53, plain,
158.16/20.70	    ((((sk__2) = (sk__3)) |  (n_some @ (diffprop @ sk__3 @ sk__2)))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_1])).
158.16/20.70	thf(zip_derived_cl51, plain, ( (n_some @ (diffprop @ sk__4 @ sk__3))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_1])).
158.16/20.70	thf(zip_derived_cl54, plain,
158.16/20.70	    ( (is_of @ sk__3 @ 
158.16/20.70	       (^[Y0 : $i]:
158.16/20.70	          (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_1])).
158.16/20.70	thf(satz11, axiom,
158.16/20.70	  (all_of @
158.16/20.70	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
158.16/20.70	   ( ^[X0:$i]:
158.16/20.70	     ( all_of @
158.16/20.70	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
158.16/20.70	       ( ^[X1:$i]: ( ( d_29_ii @ X0 @ X1 ) => ( iii @ X1 @ X0 ) ) ) ) ))).
158.16/20.70	thf(zf_stmt_2, axiom,
158.16/20.70	  (![X4:$i]:
158.16/20.70	   ( ( is_of @
158.16/20.70	       X4 @ 
158.16/20.70	       ( ^[V_1:$i]:
158.16/20.70	         ( in @
158.16/20.70	           V_1 @ 
158.16/20.70	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	     ( ![X6:$i]:
158.16/20.70	       ( ( is_of @
158.16/20.70	           X6 @ 
158.16/20.70	           ( ^[V_3:$i]:
158.16/20.70	             ( in @
158.16/20.70	               V_3 @ 
158.16/20.70	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	         ( ( d_29_ii @ X4 @ X6 ) => ( n_some @ ( diffprop @ X4 @ X6 ) ) ) ) ) ))).
158.16/20.70	thf(zip_derived_cl16, plain,
158.16/20.70	    (![X0 : $i, X1 : $i]:
158.16/20.70	       (~ (is_of @ X0 @ 
158.16/20.70	           (^[Y0 : $i]:
158.16/20.70	              (in @ Y0 @ 
158.16/20.70	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
158.16/20.70	        |  (n_some @ (diffprop @ X1 @ X0))
158.16/20.70	        | ~ (d_29_ii @ X1 @ X0)
158.16/20.70	        | ~ (is_of @ X1 @ 
158.16/20.70	             (^[Y0 : $i]:
158.16/20.70	                (in @ Y0 @ 
158.16/20.70	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_2])).
158.16/20.70	thf(zip_derived_cl52, plain, (~ (n_some @ (diffprop @ sk__4 @ sk__2))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_1])).
158.16/20.70	thf(zip_derived_cl49, plain,
158.16/20.70	    ( (is_of @ sk__2 @ 
158.16/20.70	       (^[Y0 : $i]:
158.16/20.70	          (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_1])).
158.16/20.70	thf(satz12, axiom,
158.16/20.70	  (all_of @
158.16/20.70	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
158.16/20.70	   ( ^[X0:$i]:
158.16/20.70	     ( all_of @
158.16/20.70	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
158.16/20.70	       ( ^[X1:$i]: ( ( iii @ X0 @ X1 ) => ( d_29_ii @ X1 @ X0 ) ) ) ) ))).
158.16/20.70	thf(zf_stmt_3, axiom,
158.16/20.70	  (![X4:$i]:
158.16/20.70	   ( ( is_of @
158.16/20.70	       X4 @ 
158.16/20.70	       ( ^[V_1:$i]:
158.16/20.70	         ( in @
158.16/20.70	           V_1 @ 
158.16/20.70	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	     ( ![X6:$i]:
158.16/20.70	       ( ( is_of @
158.16/20.70	           X6 @ 
158.16/20.70	           ( ^[V_3:$i]:
158.16/20.70	             ( in @
158.16/20.70	               V_3 @ 
158.16/20.70	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	         ( ( n_some @ ( diffprop @ X6 @ X4 ) ) => ( d_29_ii @ X6 @ X4 ) ) ) ) ))).
158.16/20.70	thf(zip_derived_cl17, plain,
158.16/20.70	    (![X0 : $i, X1 : $i]:
158.16/20.70	       (~ (is_of @ X0 @ 
158.16/20.70	           (^[Y0 : $i]:
158.16/20.70	              (in @ Y0 @ 
158.16/20.70	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
158.16/20.70	        |  (d_29_ii @ X0 @ X1)
158.16/20.70	        | ~ (n_some @ (diffprop @ X0 @ X1))
158.16/20.70	        | ~ (is_of @ X1 @ 
158.16/20.70	             (^[Y0 : $i]:
158.16/20.70	                (in @ Y0 @ 
158.16/20.70	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_3])).
158.16/20.70	thf(zip_derived_cl50, plain,
158.16/20.70	    ( (is_of @ sk__4 @ 
158.16/20.70	       (^[Y0 : $i]:
158.16/20.70	          (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_1])).
158.16/20.70	thf(satz15, axiom,
158.16/20.70	  (all_of @
158.16/20.70	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
158.16/20.70	   ( ^[X0:$i]:
158.16/20.70	     ( all_of @
158.16/20.70	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
158.16/20.70	       ( ^[X1:$i]:
158.16/20.70	         ( all_of @
158.16/20.70	           ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 
158.16/20.70	           ( ^[X2:$i]:
158.16/20.70	             ( ( iii @ X0 @ X1 ) =>
158.16/20.70	               ( ( iii @ X1 @ X2 ) => ( iii @ X0 @ X2 ) ) ) ) ) ) ) ))).
158.16/20.70	thf(zf_stmt_4, axiom,
158.16/20.70	  (![X4:$i]:
158.16/20.70	   ( ( is_of @
158.16/20.70	       X4 @ 
158.16/20.70	       ( ^[V_1:$i]:
158.16/20.70	         ( in @
158.16/20.70	           V_1 @ 
158.16/20.70	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	     ( ![X6:$i]:
158.16/20.70	       ( ( is_of @
158.16/20.70	           X6 @ 
158.16/20.70	           ( ^[V_3:$i]:
158.16/20.70	             ( in @
158.16/20.70	               V_3 @ 
158.16/20.70	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	         ( ![X8:$i]:
158.16/20.70	           ( ( is_of @
158.16/20.70	               X8 @ 
158.16/20.70	               ( ^[V_5:$i]:
158.16/20.70	                 ( in @
158.16/20.70	                   V_5 @ 
158.16/20.70	                   ( d_Sep @
158.16/20.70	                     omega @ ( ^[V_6:$i]: ( ( V_6 ) != ( emptyset ) ) ) ) ) ) ) =>
158.16/20.70	             ( ( n_some @ ( diffprop @ X6 @ X4 ) ) =>
158.16/20.70	               ( ( n_some @ ( diffprop @ X8 @ X6 ) ) =>
158.16/20.70	                 ( n_some @ ( diffprop @ X8 @ X4 ) ) ) ) ) ) ) ) ))).
158.16/20.70	thf(zip_derived_cl35, plain,
158.16/20.70	    (![X0 : $i, X1 : $i, X2 : $i]:
158.16/20.70	       (~ (is_of @ X0 @ 
158.16/20.70	           (^[Y0 : $i]:
158.16/20.70	              (in @ Y0 @ 
158.16/20.70	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
158.16/20.70	        | ~ (n_some @ (diffprop @ X0 @ X1))
158.16/20.70	        |  (n_some @ (diffprop @ X2 @ X1))
158.16/20.70	        | ~ (n_some @ (diffprop @ X2 @ X0))
158.16/20.70	        | ~ (is_of @ X2 @ 
158.16/20.70	             (^[Y0 : $i]:
158.16/20.70	                (in @ Y0 @ 
158.16/20.70	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
158.16/20.70	        | ~ (is_of @ X1 @ 
158.16/20.70	             (^[Y0 : $i]:
158.16/20.70	                (in @ Y0 @ 
158.16/20.70	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
158.16/20.70	    inference('cnf', [status(esa)], [zf_stmt_4])).
158.16/20.70	thf(zip_derived_cl13047, plain, ($false),
158.16/20.70	    inference('eprover', [status(thm)],
158.16/20.70	              [zip_derived_cl53, zip_derived_cl51, zip_derived_cl54, 
158.16/20.70	               zip_derived_cl16, zip_derived_cl52, zip_derived_cl49, 
158.16/20.70	               zip_derived_cl17, zip_derived_cl50, zip_derived_cl35])).
158.16/20.70	
158.16/20.70	% SZS output end Refutation
158.16/20.70	
158.16/20.70	
158.16/20.70	% Terminating...
158.92/20.90	% Runner terminated.
158.92/20.91	% Zipperpin 1.5 exiting
158.92/20.92	EOF