0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.tjIclmB7oZ
0.12/0.34	% Computer   : n016.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 180
0.12/0.34	% DateTime   : Thu Aug 29 13:29:08 EDT 2019
0.12/0.34	% CPUTime    : 
111.78/112.08	% Running portfolio for 180 s
111.78/112.08	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
111.78/112.08	% TempDir      : /export/starexec/sandbox/tmp/tmp.tjIclmB7oZ
111.78/112.08	% Recognized as monomorphic HO.
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/competitive.sh for 18
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 15
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 13
111.78/112.08	% Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 17
111.78/112.08	% Solved by: pragmatic.ll.e.sh
111.78/112.08	% done 105 iterations in 0.583s
111.78/112.08	% hashcons stats for terms: size 4096, num 1607, sum length 7766, buckets: small 0, median 3, big 7
111.78/112.08	% proof state stats: {active 64, passive 316, simpl 0}
111.78/112.08	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
111.78/112.08	% SZS output start Refutation
111.78/112.08	tff(demorgan2b, axiom, demorgan2b <=>
111.78/112.08	  (![A,X]:
111.78/112.08	     (in(X,powerset(A)) =>
111.78/112.08	      (![Y]:
111.78/112.08	         (in(Y,powerset(A)) =>
111.78/112.08	          (![Xx]:
111.78/112.08	             (in(Xx,A) =>
111.78/112.08	              (in(Xx,binintersect(setminus(A,X),setminus(A,Y))) =>
111.78/112.08	               in(Xx,setminus(A,binunion(X,Y))))))))))).
111.78/112.08	tff('0', plain,
111.78/112.08	    demorgan2b =
111.78/112.08	    (![X2,X3]:
111.78/112.08	       (in(X3,powerset(X2)) =>
111.78/112.08	        (![X4]:
111.78/112.08	           (in(X4,powerset(X2)) =>
111.78/112.08	            (![X5]:
111.78/112.08	               (in(X5,X2) =>
111.78/112.08	                (in(X5,binintersect(setminus(X2,X3),setminus(X2,X4))) =>
111.78/112.08	                 in(X5,setminus(X2,binunion(X3,X4)))))))))),
111.78/112.08	    define([status(thm)])).
111.78/112.08	tff(demorgan2a, axiom, demorgan2a <=>
111.78/112.08	  (![A,X]:
111.78/112.08	     (in(X,powerset(A)) =>
111.78/112.08	      (![Y]:
111.78/112.08	         (in(Y,powerset(A)) =>
111.78/112.08	          (![Xx]:
111.78/112.08	             (in(Xx,A) =>
111.78/112.08	              (in(Xx,setminus(A,binunion(X,Y))) =>
111.78/112.08	               in(Xx,binintersect(setminus(A,X),setminus(A,Y))))))))))).
111.78/112.08	tff('1', plain,
111.78/112.08	    demorgan2a =
111.78/112.08	    (![X2,X3]:
111.78/112.08	       (in(X3,powerset(X2)) =>
111.78/112.08	        (![X4]:
111.78/112.08	           (in(X4,powerset(X2)) =>
111.78/112.08	            (![X5]:
111.78/112.08	               (in(X5,X2) =>
111.78/112.08	                (in(X5,setminus(X2,binunion(X3,X4))) =>
111.78/112.08	                 in(X5,binintersect(setminus(X2,X3),setminus(X2,X4)))))))))),
111.78/112.08	    define([status(thm)])).
111.78/112.08	tff(setextT, axiom, setextT <=>
111.78/112.08	  (![A,X]:
111.78/112.08	     (in(X,powerset(A)) =>
111.78/112.08	      (![Y]:
111.78/112.08	         (in(Y,powerset(A)) =>
111.78/112.08	          ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) =>
111.78/112.08	           ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))).
111.78/112.08	tff('2', plain,
111.78/112.08	    setextT =
111.78/112.08	    (![X2,X3]:
111.78/112.08	       (in(X3,powerset(X2)) =>
111.78/112.08	        (![X4]:
111.78/112.08	           (in(X4,powerset(X2)) =>
111.78/112.08	            ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) =>
111.78/112.08	             ((![X6]: (in(X6,X2) => (in(X6,X4) => in(X6,X3)))) => (X3 = X4))))))),
111.78/112.08	    define([status(thm)])).
111.78/112.08	tff(complementT_lem, axiom, complementT_lem <=>
111.78/112.08	  (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))).
111.78/112.08	tff('3', plain,
111.78/112.08	    complementT_lem =
111.78/112.08	    (![X2,X3]: (in(X3,powerset(X2)) => in(setminus(X2,X3),powerset(X2)))),
111.78/112.08	    define([status(thm)])).
111.78/112.08	tff(binunionT_lem, axiom, binunionT_lem <=>
111.78/112.08	  (![A,X]:
111.78/112.08	     (in(X,powerset(A)) =>
111.78/112.08	      (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))).
111.78/112.08	tff('4', plain,
111.78/112.08	    binunionT_lem =
111.78/112.08	    (![X2,X3]:
111.78/112.08	       (in(X3,powerset(X2)) =>
111.78/112.08	        (![X4]: (in(X4,powerset(X2)) => in(binunion(X3,X4),powerset(X2)))))),
111.78/112.08	    define([status(thm)])).
111.78/112.08	tff(binintersectT_lem, axiom, binintersectT_lem <=>
111.78/112.08	  (![A,X]:
111.78/112.08	     (in(X,powerset(A)) =>
111.78/112.08	      (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))).
111.78/112.08	tff('5', plain,
111.78/112.08	    binintersectT_lem =
111.78/112.08	    (![X2,X3]:
111.78/112.08	       (in(X3,powerset(X2)) =>
111.78/112.08	        (![X4]: (in(X4,powerset(X2)) => in(binintersect(X3,X4),powerset(X2)))))),
111.78/112.08	    define([status(thm)])).
111.78/112.08	tff(demorgan2, conjecture,
111.78/112.08	  (binintersectT_lem =>
111.78/112.08	   (binunionT_lem =>
111.78/112.08	    (complementT_lem =>
111.78/112.08	     (setextT =>
111.78/112.08	      (demorgan2a =>
111.78/112.08	       (demorgan2b =>
111.78/112.08	        (![A,X]:
111.78/112.08	           (in(X,powerset(A)) =>
111.78/112.08	            (![Y]:
111.78/112.08	               (in(Y,powerset(A)) =>
111.78/112.08	                (setminus(A,binunion(X,Y)) =
111.78/112.08	                 binintersect(setminus(A,X),setminus(A,Y)))))))))))))).
111.78/112.08	tff(zf_stmt_0, conjecture,
111.78/112.08	  ((![X2,X3]:
111.78/112.08	      (in(X3,powerset(X2)) =>
111.78/112.08	       (![X4]: (in(X4,powerset(X2)) => in(binintersect(X3,X4),powerset(X2)))))) =>
111.78/112.08	   ((![X5,X6]:
111.78/112.08	       (in(X6,powerset(X5)) =>
111.78/112.08	        (![X7]: (in(X7,powerset(X5)) => in(binunion(X6,X7),powerset(X5)))))) =>
111.78/112.08	    ((![X8,X9]: (in(X9,powerset(X8)) => in(setminus(X8,X9),powerset(X8)))) =>
111.78/112.08	     ((![X10,X11]:
111.78/112.08	         (in(X11,powerset(X10)) =>
111.78/112.08	          (![X12]:
111.78/112.08	             (in(X12,powerset(X10)) =>
111.78/112.08	              ((![X13]: (in(X13,X10) => (in(X13,X11) => in(X13,X12)))) =>
111.78/112.08	               ((![X14]: (in(X14,X10) => (in(X14,X12) => in(X14,X11)))) =>
111.78/112.08	                (X11 = X12))))))) =>
111.78/112.08	      ((![X15,X16]:
111.78/112.08	          (in(X16,powerset(X15)) =>
111.78/112.08	           (![X17]:
111.78/112.08	              (in(X17,powerset(X15)) =>
111.78/112.08	               (![X18]:
111.78/112.08	                  (in(X18,X15) =>
111.78/112.08	                   (in(X18,setminus(X15,binunion(X16,X17))) =>
111.78/112.08	                    in(X18,binintersect(setminus(X15,X16),setminus(X15,X17)))))))))) =>
111.78/112.08	       ((![X19,X20]:
111.78/112.08	           (in(X20,powerset(X19)) =>
111.78/112.08	            (![X21]:
111.78/112.08	               (in(X21,powerset(X19)) =>
111.78/112.08	                (![X22]:
111.78/112.08	                   (in(X22,X19) =>
111.78/112.08	                    (in(X22,binintersect(setminus(X19,X20),setminus(X19,X21))) =>
111.78/112.08	                     in(X22,setminus(X19,binunion(X20,X21)))))))))) =>
111.78/112.08	        (![X23,X24]:
111.78/112.08	           (in(X24,powerset(X23)) =>
111.78/112.08	            (![X25]:
111.78/112.08	               (in(X25,powerset(X23)) =>
111.78/112.08	                (setminus(X23,binunion(X24,X25)) =
111.78/112.08	                 binintersect(setminus(X23,X24),setminus(X23,X25)))))))))))))).
111.78/112.08	tff(zf_stmt_1, negated_conjecture,
111.78/112.08	  (~
111.78/112.08	    ((![X2,X3]:
111.78/112.08	        (in(X3,powerset(X2)) =>
111.78/112.08	         (![X4]:
111.78/112.08	            (in(X4,powerset(X2)) => in(binintersect(X3,X4),powerset(X2)))))) =>
111.78/112.08	     ((![X5,X6]:
111.78/112.08	         (in(X6,powerset(X5)) =>
111.78/112.08	          (![X7]: (in(X7,powerset(X5)) => in(binunion(X6,X7),powerset(X5)))))) =>
111.78/112.08	      ((![X8,X9]: (in(X9,powerset(X8)) => in(setminus(X8,X9),powerset(X8)))) =>
111.78/112.08	       ((![X10,X11]:
111.78/112.08	           (in(X11,powerset(X10)) =>
111.78/112.08	            (![X12]:
111.78/112.08	               (in(X12,powerset(X10)) =>
111.78/112.08	                ((![X13]: (in(X13,X10) => (in(X13,X11) => in(X13,X12)))) =>
111.78/112.08	                 ((![X14]: (in(X14,X10) => (in(X14,X12) => in(X14,X11)))) =>
111.78/112.08	                  (X11 = X12))))))) =>
111.78/112.08	        ((![X15,X16]:
111.78/112.08	            (in(X16,powerset(X15)) =>
111.78/112.08	             (![X17]:
111.78/112.08	                (in(X17,powerset(X15)) =>
111.78/112.08	                 (![X18]:
111.78/112.08	                    (in(X18,X15) =>
111.78/112.08	                     (in(X18,setminus(X15,binunion(X16,X17))) =>
111.78/112.08	                      in(X18,
111.78/112.08	                         binintersect(setminus(X15,X16),setminus(X15,X17)))))))))) =>
111.78/112.08	         ((![X19,X20]:
111.78/112.08	             (in(X20,powerset(X19)) =>
111.78/112.08	              (![X21]:
111.78/112.08	                 (in(X21,powerset(X19)) =>
111.78/112.08	                  (![X22]:
111.78/112.08	                     (in(X22,X19) =>
111.78/112.08	                      (in(X22,
111.78/112.08	                          binintersect(setminus(X19,X20),setminus(X19,X21))) =>
111.78/112.08	                       in(X22,setminus(X19,binunion(X20,X21)))))))))) =>
111.78/112.08	          (![X23,X24]:
111.78/112.08	             (in(X24,powerset(X23)) =>
111.78/112.08	              (![X25]:
111.78/112.08	                 (in(X25,powerset(X23)) =>
111.78/112.08	                  (setminus(X23,binunion(X24,X25)) =
111.78/112.08	                   binintersect(setminus(X23,X24),setminus(X23,X25))))))))))))))).
111.78/112.08	tff('6', plain, in(sk_X24_, powerset(sk_X23_)),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('7', plain,
111.78/112.08	    ![X24, X25]:
111.78/112.08	      (in(setminus(X24, X25), powerset(X24)) | ~ in(X25, powerset(X24))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('8', plain,
111.78/112.08	    ![X37, X38, X39]:
111.78/112.08	      (~ in(X37, powerset(X38))
111.78/112.08	       | in(binunion(X39, X37), powerset(X38))
111.78/112.08	       | ~ in(X39, powerset(X38))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('9', plain,
111.78/112.08	    ![X21, X22, X23]:
111.78/112.08	      (~ in(X21, powerset(X22))
111.78/112.08	       | in(binintersect(X23, X21), powerset(X22))
111.78/112.08	       | ~ in(X23, powerset(X22))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('10', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | in(sk_X14_(X34, X36, X35), X35)
111.78/112.08	       | X36 = X34
111.78/112.08	       | in(sk_X13_(X34, X36, X35), X35)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('11', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | in(sk_X14_(X34, X36, X35), X34)
111.78/112.08	       | X36 = X34
111.78/112.08	       | in(sk_X13_(X34, X36, X35), X35)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('12', plain,
111.78/112.08	    ![X30, X31, X32, X33]:
111.78/112.08	      (~ in(X30, powerset(X31))
111.78/112.08	       | ~ in(X32, binintersect(setminus(X31, X33), setminus(X31, X30)))
111.78/112.08	       | in(X32, setminus(X31, binunion(X33, X30)))
111.78/112.08	       | ~ in(X32, X31)
111.78/112.08	       | ~ in(X33, powerset(X31))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('13', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X4, powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           X3)
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))),
111.78/112.08	    inference('sup-', [status(thm)], ['11', '12'])).
111.78/112.08	tff('14', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | ~ in(sk_X14_(X34, X36, X35), X36)
111.78/112.08	       | X36 = X34
111.78/112.08	       | in(sk_X13_(X34, X36, X35), X35)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('15', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X3)
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X3)
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))),
111.78/112.08	    inference('sup-', [status(thm)], ['13', '14'])).
111.78/112.08	tff('16', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X3)
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X0, powerset(X2))),
111.78/112.08	    inference('simplify', [status(thm)], ['15'])).
111.78/112.08	tff('17', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X0, X2), setminus(X0, X1)), 
111.78/112.08	             setminus(X0, binunion(X2, X1)), X0), X0)
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X0, X2), setminus(X0, X1)), 
111.78/112.08	             setminus(X0, binunion(X2, X1)), X0), X0)
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))),
111.78/112.08	    inference('sup-', [status(thm)], ['10', '16'])).
111.78/112.08	tff('18', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X0, X2), setminus(X0, X1)), 
111.78/112.08	             setminus(X0, binunion(X2, X1)), X0), X0)
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))),
111.78/112.08	    inference('simplify', [status(thm)], ['17'])).
111.78/112.08	tff('19', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | in(sk_X14_(X34, X36, X35), X35)
111.78/112.08	       | X36 = X34
111.78/112.08	       | in(sk_X13_(X34, X36, X35), X36)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('20', plain,
111.78/112.08	    ![X26, X27, X28, X29]:
111.78/112.08	      (~ in(X26, powerset(X27))
111.78/112.08	       | ~ in(X28, setminus(X27, binunion(X29, X26)))
111.78/112.08	       | in(X28, binintersect(setminus(X27, X29), setminus(X27, X26)))
111.78/112.08	       | ~ in(X28, X27)
111.78/112.08	       | ~ in(X29, powerset(X27))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('21', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | in(sk_X14_(X34, X36, X35), X35)
111.78/112.08	       | X36 = X34
111.78/112.08	       | ~ in(sk_X13_(X34, X36, X35), X34)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('22', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))
111.78/112.08	       | ~ in(X4, powerset(X3))
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           X3)
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))),
111.78/112.08	    inference('sup-', [status(thm)], ['20', '21'])).
111.78/112.08	tff('23', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X3)
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X3)
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X1, powerset(X2))),
111.78/112.08	    inference('sup-', [status(thm)], ['19', '22'])).
111.78/112.08	tff('24', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X3)
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))),
111.78/112.08	    inference('simplify', [status(thm)], ['23'])).
111.78/112.08	tff('25', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | in(sk_X14_(X34, X36, X35), X34)
111.78/112.08	       | X36 = X34
111.78/112.08	       | in(sk_X13_(X34, X36, X35), X36)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('26', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X4, powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           X4)
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))),
111.78/112.08	    inference('sup-', [status(thm)], ['25', '12'])).
111.78/112.08	tff('27', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | ~ in(sk_X14_(X34, X36, X35), X36)
111.78/112.08	       | X36 = X34
111.78/112.08	       | in(sk_X13_(X34, X36, X35), X36)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('28', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), 
111.78/112.08	           setminus(X2, binunion(X1, X0)))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), 
111.78/112.08	           setminus(X2, binunion(X1, X0)))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))),
111.78/112.08	    inference('sup-', [status(thm)], ['26', '27'])).
111.78/112.08	tff('29', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), 
111.78/112.08	           setminus(X2, binunion(X1, X0)))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X0, powerset(X2))),
111.78/112.08	    inference('simplify', [status(thm)], ['28'])).
111.78/112.08	tff('30', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | in(sk_X14_(X34, X36, X35), X34)
111.78/112.08	       | X36 = X34
111.78/112.08	       | ~ in(sk_X13_(X34, X36, X35), X34)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('31', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X4, powerset(X3))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), binintersect(setminus(X1, X2), setminus(X1, X0)))
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))),
111.78/112.08	    inference('sup-', [status(thm)], ['30', '12'])).
111.78/112.08	tff('32', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))
111.78/112.08	       | ~ in(X0, powerset(X1))
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | ~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | ~ in(X4, powerset(X3))),
111.78/112.08	    inference('sup-', [status(thm)], ['20', '31'])).
111.78/112.08	tff('33', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X4, powerset(X3))
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | in(
111.78/112.08	           sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, X3), 
111.78/112.08	           setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | ~ in(X2, powerset(X1))),
111.78/112.08	    inference('simplify', [status(thm)], ['32'])).
111.78/112.08	tff('34', plain,
111.78/112.08	    ![X34, X35, X36]:
111.78/112.08	      (~ in(X34, powerset(X35))
111.78/112.08	       | ~ in(sk_X14_(X34, X36, X35), X36)
111.78/112.08	       | X36 = X34
111.78/112.08	       | ~ in(sk_X13_(X34, X36, X35), X34)
111.78/112.08	       | ~ in(X36, powerset(X35))),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('35', plain,
111.78/112.08	    ![X0, X1, X2, X3, X4]:
111.78/112.08	      (~ in(X2, powerset(X1))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X1)
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), setminus(X1, binunion(X2, X0)))
111.78/112.08	       | ~ in(X0, powerset(X1))
111.78/112.08	       | ~ in(X4, powerset(X3))
111.78/112.08	       | X4 = binintersect(setminus(X1, X2), setminus(X1, X0))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X1, X2), setminus(X1, X0)), X4, 
111.78/112.08	               X3), X4)
111.78/112.08	       | ~ in(binintersect(setminus(X1, X2), setminus(X1, X0)), powerset(X3))),
111.78/112.08	    inference('sup-', [status(thm)], ['20', '34'])).
111.78/112.08	tff('36', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), 
111.78/112.08	             setminus(X2, binunion(X1, X0)))
111.78/112.08	       | ~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), 
111.78/112.08	             setminus(X2, binunion(X1, X0)))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X1, powerset(X2))),
111.78/112.08	    inference('sup-', [status(thm)], ['33', '35'])).
111.78/112.08	tff('37', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), 
111.78/112.08	             setminus(X2, binunion(X1, X0)))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X1, powerset(X2))),
111.78/112.08	    inference('simplify', [status(thm)], ['36'])).
111.78/112.08	tff('38', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X0, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))),
111.78/112.08	    inference('sup-', [status(thm)], ['29', '37'])).
111.78/112.08	tff('39', plain,
111.78/112.08	    ![X0, X1, X2, X3]:
111.78/112.08	      (~ in(
111.78/112.08	           sk_X13_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	             setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
111.78/112.08	       | setminus(X2, binunion(X1, X0))
111.78/112.08	          = binintersect(setminus(X2, X1), setminus(X2, X0))
111.78/112.08	       | ~ in(binintersect(setminus(X2, X1), setminus(X2, X0)), powerset(X3))
111.78/112.08	       | ~ in(X1, powerset(X2))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X14_(binintersect(setminus(X2, X1), setminus(X2, X0)), 
111.78/112.08	               setminus(X2, binunion(X1, X0)), X3), X2)
111.78/112.08	       | ~ in(X0, powerset(X2))),
111.78/112.08	    inference('simplify', [status(thm)], ['38'])).
111.78/112.08	tff('40', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X0, X2), setminus(X0, X1)), 
111.78/112.08	               setminus(X0, binunion(X2, X1)), X0), X0)
111.78/112.08	       | ~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X0, X2), setminus(X0, X1)), 
111.78/112.08	               setminus(X0, binunion(X2, X1)), X0), X0)),
111.78/112.08	    inference('sup-', [status(thm)], ['24', '39'])).
111.78/112.08	tff('41', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(
111.78/112.08	             sk_X13_(binintersect(setminus(X0, X2), setminus(X0, X1)), 
111.78/112.08	               setminus(X0, binunion(X2, X1)), X0), X0)
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))),
111.78/112.08	    inference('simplify', [status(thm)], ['40'])).
111.78/112.08	tff('42', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(X2, powerset(X0))),
111.78/112.08	    inference('sup-', [status(thm)], ['18', '41'])).
111.78/112.08	tff('43', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(binintersect(setminus(X0, X2), setminus(X0, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))),
111.78/112.08	    inference('simplify', [status(thm)], ['42'])).
111.78/112.08	tff('44', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(setminus(X0, X2), powerset(X0))
111.78/112.08	       | ~ in(setminus(X0, X1), powerset(X0))
111.78/112.08	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | ~ in(X2, powerset(X0))),
111.78/112.08	    inference('sup-', [status(thm)], ['9', '43'])).
111.78/112.08	tff('45', plain,
111.78/112.08	    ![X0, X1, X2]:
111.78/112.08	      (~ in(binunion(X2, X1), powerset(X0))
111.78/112.08	       | ~ in(X2, powerset(X0))
111.78/112.08	       | ~ in(X1, powerset(X0))
111.78/112.08	       | setminus(X0, binunion(X2, X1))
111.78/112.08	          = binintersect(setminus(X0, X2), setminus(X0, X1))
111.78/112.08	       | ~ in(setminus(X0, X1), powerset(X0))
111.78/112.08	       | ~ in(setminus(X0, X2), powerset(X0))),
111.78/112.08	    inference('sup-', [status(thm)], ['7', '44'])).
111.78/112.08	tff('46', plain,
111.78/112.08	    setminus(sk_X23_, binunion(sk_X24_, sk_X25_))
111.78/112.08	     != binintersect(setminus(sk_X23_, sk_X24_), setminus(sk_X23_, sk_X25_)),
111.78/112.08	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.08	tff('47', plain,
111.78/112.08	    (setminus(sk_X23_, binunion(sk_X24_, sk_X25_))
111.78/112.08	      != setminus(sk_X23_, binunion(sk_X24_, sk_X25_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X24_), powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X25_), powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X24_, powerset(sk_X23_))
111.78/112.08	     | ~ in(binunion(sk_X24_, sk_X25_), powerset(sk_X23_))),
111.78/112.08	    inference('sup-', [status(thm)], ['45', '46'])).
111.78/112.08	tff('48', plain,
111.78/112.08	    (~ in(binunion(sk_X24_, sk_X25_), powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X24_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X25_), powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X24_), powerset(sk_X23_))),
111.78/112.08	    inference('simplify', [status(thm)], ['47'])).
111.78/112.08	tff('49', plain,
111.78/112.08	    (~ in(sk_X24_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X24_), powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X25_), powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X24_, powerset(sk_X23_))),
111.78/112.08	    inference('sup-', [status(thm)], ['8', '48'])).
111.78/112.08	tff('50', plain,
111.78/112.08	    (~ in(setminus(sk_X23_, sk_X25_), powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X24_), powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X24_, powerset(sk_X23_))),
111.78/112.08	    inference('simplify', [status(thm)], ['49'])).
111.78/112.08	tff('51', plain,
111.78/112.08	    (~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X24_, powerset(sk_X23_))
111.78/112.08	     | ~ in(sk_X25_, powerset(sk_X23_))
111.78/112.08	     | ~ in(setminus(sk_X23_, sk_X24_), powerset(sk_X23_))),
111.78/112.08	    inference('sup-', [status(thm)], ['7', '50'])).
111.78/112.08	tff('52', plain,
111.78/112.08	    (~ in(setminus(sk_X23_, sk_X24_), powerset(sk_X23_))
111.78/112.09	     | ~ in(sk_X24_, powerset(sk_X23_))
111.78/112.09	     | ~ in(sk_X25_, powerset(sk_X23_))),
111.78/112.09	    inference('simplify', [status(thm)], ['51'])).
111.78/112.09	tff('53', plain,
111.78/112.09	    (~ in(sk_X25_, powerset(sk_X23_)) | ~ in(sk_X24_, powerset(sk_X23_))),
111.78/112.09	    inference('clc', [status(thm)], ['52', '7'])).
111.78/112.09	tff('54', plain, in(sk_X25_, powerset(sk_X23_)),
111.78/112.09	    inference('cnf', [status(esa)], [zf_stmt_1])).
111.78/112.09	tff('55', plain, ~ in(sk_X24_, powerset(sk_X23_)),
111.78/112.09	    inference('clc', [status(thm)], ['53', '54'])).
111.78/112.09	tff('56', plain, $false, inference('sup-', [status(thm)], ['6', '55'])).
111.78/112.09	
111.78/112.09	% SZS output end Refutation
111.78/112.09	% Zipperpin 1.5 exiting
111.78/112.09	EOF