0.05/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.V903G1LxPF
0.15/0.36	% Computer   : n017.cluster.edu
0.15/0.36	% Model      : x86_64 x86_64
0.15/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory     : 8042.1875MB
0.15/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 180
0.15/0.36	% DateTime   : Thu Aug 29 14:59:34 EDT 2019
0.15/0.36	% CPUTime    : 
110.91/111.46	% Running portfolio for 180 s
110.91/111.46	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
110.91/111.46	% TempDir      : /export/starexec/sandbox/tmp/tmp.V903G1LxPF
110.91/111.46	% Recognized as monomorphic HO.
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/competitive.sh for 18
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 15
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 12
110.91/111.46	% Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 19
110.91/111.46	% Solved by: pragmatic.ll.e.sh
110.91/111.46	% Running : timeout 16 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.V903G1LxPF/e_input701f96 --cpu-limit=14 --auto-schedule -s -p.
110.91/111.46	% done 325 iterations in 12.054s
110.91/111.46	% hashcons stats for terms: size 4096, num 16963, sum length 32856, buckets: small 0, median 7, big 22
110.91/111.46	% proof state stats: {active 44, passive 2694, simpl 0}
110.91/111.46	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
110.91/111.46	% SZS output start Refutation
110.91/111.46	tff(zf_stmt_0, axiom, (![Xx]: ('#ll_1'(Xx) <=> $true))).
110.91/111.46	tff('0', plain, ![X2]: '#ll_1'(X2),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_0])).
110.91/111.46	tff(zf_stmt_1, conjecture,
110.91/111.46	  (?[R:(($i > $o * $i > $o) > $o)]:
110.91/111.46	     ((~R('#ll_1','#ll_0')) & (![Xx:($i > $o)]: R(Xx,Xx)) & 
110.91/111.46	      (![Xx:($i > $o),Xy:($i > $o),Xz:($i > $o)]:
110.91/111.46	         ((R(Xx,Xy) & R(Xy,Xz)) => R(Xx,Xz))) & 
110.91/111.46	      (![X:($i > $o),Y:($i > $o)]: ((R(Y,X) & R(X,Y)) => (X = Y)))))).
110.91/111.46	tff(zf_stmt_2, negated_conjecture,
110.91/111.46	  (~
110.91/111.46	    (?[R:(($i > $o * $i > $o) > $o)]:
110.91/111.46	       ((~R('#ll_1','#ll_0')) & (![Xx:($i > $o)]: R(Xx,Xx)) & 
110.91/111.46	        (![Xx:($i > $o),Xy:($i > $o),Xz:($i > $o)]:
110.91/111.46	           ((R(Xx,Xy) & R(Xy,Xz)) => R(Xx,Xz))) & 
110.91/111.46	        (![X:($i > $o),Y:($i > $o)]: ((R(Y,X) & R(X,Y)) => (X = Y))))))).
110.91/111.46	tff('1', plain,
110.91/111.46	    ![X0 : ($i > $o * $i > $o) > $o]:
110.91/111.46	      (X0('#ll_1', '#ll_0')
110.91/111.46	       | ~ X0(sk_Xx_(X0), sk_Xx_(X0))
110.91/111.46	       | X0(sk_Xy_(X0), sk_Xz_(X0))
110.91/111.46	       | X0(sk_X_(X0), sk_Y_(X0))),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_2])).
110.91/111.46	tff('2', plain,
110.91/111.46	    ((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))('#ll_1', '#ll_0')
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))),
110.91/111.46	    inference('ho.refine', [status(thm)], ['1'])).
110.91/111.46	tff('3', plain,
110.91/111.46	    ((= (> $o, $i), '#ll_1', '#ll_0')
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))),
110.91/111.46	    inference('lambda-normalize', [status(thm)], ['2'])).
110.91/111.46	tff('4', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify nested equalities', [status(thm)], ['3'])).
110.91/111.46	tff('5', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      = sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('simplify', [status(thm)], ['4'])).
110.91/111.46	tff('6', plain,
110.91/111.46	    ![X0 : ($i > $o * $i > $o) > $o]:
110.91/111.46	      (X0('#ll_1', '#ll_0')
110.91/111.46	       | ~ X0(sk_Xx_(X0), sk_Xx_(X0))
110.91/111.46	       | X0(sk_Xy_(X0), sk_Xz_(X0))
110.91/111.46	       | sk_X_(X0) != sk_Y_(X0)),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_2])).
110.91/111.46	tff('7', plain,
110.91/111.46	    ((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))('#ll_1', '#ll_0')
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('ho.refine', [status(thm)], ['6'])).
110.91/111.46	tff('8', plain,
110.91/111.46	    ((= (> $o, $i), '#ll_1', '#ll_0')
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('lambda-normalize', [status(thm)], ['7'])).
110.91/111.46	tff('9', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify nested equalities', [status(thm)], ['8'])).
110.91/111.46	tff('10', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('simplify', [status(thm)], ['9'])).
110.91/111.46	tff('11', plain,
110.91/111.46	    ![X0 : ($i > $o * $i > $o) > $o]:
110.91/111.46	      (X0('#ll_1', '#ll_0')
110.91/111.46	       | ~ X0(sk_Xx_(X0), sk_Xx_(X0))
110.91/111.46	       | ~ X0(sk_Xx_1(X0), sk_Xz_(X0))
110.91/111.46	       | X0(sk_X_(X0), sk_Y_(X0))),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_2])).
110.91/111.46	tff('12', plain,
110.91/111.46	    ((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))('#ll_1', '#ll_0')
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))),
110.91/111.46	    inference('ho.refine', [status(thm)], ['11'])).
110.91/111.46	tff('13', plain,
110.91/111.46	    ((= (> $o, $i), '#ll_1', '#ll_0')
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))),
110.91/111.46	    inference('lambda-normalize', [status(thm)], ['12'])).
110.91/111.46	tff('14', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify nested equalities', [status(thm)], ['13'])).
110.91/111.46	tff('15', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      = sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('simplify', [status(thm)], ['14'])).
110.91/111.46	tff('16', plain,
110.91/111.46	    ![X0 : ($i > $o * $i > $o) > $o]:
110.91/111.46	      (X0('#ll_1', '#ll_0')
110.91/111.46	       | ~ X0(sk_Xx_(X0), sk_Xx_(X0))
110.91/111.46	       | ~ X0(sk_Xx_1(X0), sk_Xz_(X0))
110.91/111.46	       | sk_X_(X0) != sk_Y_(X0)),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_2])).
110.91/111.46	tff('17', plain,
110.91/111.46	    ((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))('#ll_1', '#ll_0')
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('ho.refine', [status(thm)], ['16'])).
110.91/111.46	tff('18', plain,
110.91/111.46	    ((= (> $o, $i), '#ll_1', '#ll_0')
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('lambda-normalize', [status(thm)], ['17'])).
110.91/111.46	tff('19', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify nested equalities', [status(thm)], ['18'])).
110.91/111.46	tff('20', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('simplify', [status(thm)], ['19'])).
110.91/111.46	tff('21', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('clc', [status(thm)], ['15', '20'])).
110.91/111.46	tff('22', plain,
110.91/111.46	    (sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      != sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('sup-', [status(thm)], ['10', '21'])).
110.91/111.46	tff('23', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify', [status(thm)], ['22'])).
110.91/111.46	tff('24', plain,
110.91/111.46	    ![X0 : ($i > $o * $i > $o) > $o]:
110.91/111.46	      (X0('#ll_1', '#ll_0')
110.91/111.46	       | ~ X0(sk_Xx_(X0), sk_Xx_(X0))
110.91/111.46	       | X0(sk_Xx_1(X0), sk_Xy_(X0))
110.91/111.46	       | sk_X_(X0) != sk_Y_(X0)),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_2])).
110.91/111.46	tff('25', plain,
110.91/111.46	    ((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))('#ll_1', '#ll_0')
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('ho.refine', [status(thm)], ['24'])).
110.91/111.46	tff('26', plain,
110.91/111.46	    ((= (> $o, $i), '#ll_1', '#ll_0')
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('lambda-normalize', [status(thm)], ['25'])).
110.91/111.46	tff('27', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify nested equalities', [status(thm)], ['26'])).
110.91/111.46	tff('28', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('simplify', [status(thm)], ['27'])).
110.91/111.46	tff('29', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('clc', [status(thm)], ['23', '28'])).
110.91/111.46	tff('30', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xz_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('clc', [status(thm)], ['5', '29'])).
110.91/111.46	tff('31', plain,
110.91/111.46	    (sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      != sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('sup-', [status(thm)], ['30', '21'])).
110.91/111.46	tff('32', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify', [status(thm)], ['31'])).
110.91/111.46	tff('33', plain,
110.91/111.46	    ![X0 : ($i > $o * $i > $o) > $o]:
110.91/111.46	      (X0('#ll_1', '#ll_0')
110.91/111.46	       | ~ X0(sk_Xx_(X0), sk_Xx_(X0))
110.91/111.46	       | X0(sk_Xx_1(X0), sk_Xy_(X0))
110.91/111.46	       | X0(sk_X_(X0), sk_Y_(X0))),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_2])).
110.91/111.46	tff('34', plain,
110.91/111.46	    ((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))('#ll_1', '#ll_0')
110.91/111.46	     | ~ (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	           sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))(
110.91/111.46	         sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	         sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))),
110.91/111.46	    inference('ho.refine', [status(thm)], ['33'])).
110.91/111.46	tff('35', plain,
110.91/111.46	    ((= (> $o, $i), '#ll_1', '#ll_0')
110.91/111.46	     | ~ (= (> $o, $i), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	            sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))
110.91/111.46	     | (= (> $o, $i), 
110.91/111.46	          sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))), 
110.91/111.46	          sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1))))),
110.91/111.46	    inference('lambda-normalize', [status(thm)], ['34'])).
110.91/111.46	tff('36', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        != sk_Xx_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('simplify nested equalities', [status(thm)], ['35'])).
110.91/111.46	tff('37', plain,
110.91/111.46	    (sk_X_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	      = sk_Y_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	     | '#ll_1' = '#ll_0'),
110.91/111.46	    inference('simplify', [status(thm)], ['36'])).
110.91/111.46	tff('38', plain,
110.91/111.46	    ('#ll_1' = '#ll_0'
110.91/111.46	     | sk_Xx_1((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))
110.91/111.46	        = sk_Xy_((^[Y0 : $i > $o,Y1 : $i > $o]: (= (> $o, $i), Y0, Y1)))),
110.91/111.46	    inference('clc', [status(thm)], ['37', '29'])).
110.91/111.46	tff('39', plain, '#ll_1' = '#ll_0',
110.91/111.46	    inference('clc', [status(thm)], ['32', '38'])).
110.91/111.46	tff('40', plain, ![X1]: '#ll_1'(X1) = '#ll_0'(X1),
110.91/111.46	    inference('ho_complete_eq', [status(thm)], ['39'])).
110.91/111.46	tff('41', plain, ![X0]: ('#ll_0'(X0) | ~ '#ll_1'(X0)),
110.91/111.46	    inference('cnf_otf', [status(thm)], ['40'])).
110.91/111.46	tff(zf_stmt_3, axiom, (![Xx]: ('#ll_0'(Xx) <=> $false))).
110.91/111.46	tff('42', plain, ![X3]: ~ '#ll_0'(X3),
110.91/111.46	    inference('cnf', [status(esa)], [zf_stmt_3])).
110.91/111.46	tff('43', plain, ![X0]: ~ '#ll_1'(X0),
110.91/111.46	    inference('clc', [status(thm)], ['41', '42'])).
110.91/111.46	tff('44', plain, $false, inference('sup-', [status(thm)], ['0', '43'])).
110.91/111.46	
110.91/111.46	% SZS output end Refutation
110.91/111.46	% Zipperpin 1.5 exiting
110.91/111.46	EOF