0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.0UiS58H1UK
0.13/0.35	% Computer   : n016.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1200
0.13/0.35	% DateTime   : Tue Jul 13 15:44:08 EDT 2021
0.13/0.35	% CPUTime    : 
0.13/0.35	% Running portfolio for 120 s
0.13/0.35	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.13/0.35	% Number of cores: 8
0.13/0.36	% Python version: Python 3.6.8
0.13/0.36	% Running in HO mode
0.56/0.68	% Estimated wc time : 1286
0.56/0.68	% Estimated cpu time (7 cpus) : 183.71428571428572
0.57/0.74	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
0.57/0.75	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.57/0.75	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
0.57/0.76	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
0.57/0.79	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
0.57/0.80	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
0.57/0.80	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
67.86/10.56	% /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s
104.61/15.83	% /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s
104.61/15.85	% /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s
104.61/15.87	% /export/starexec/sandbox2/solver/bin/lams/b.lsimp.sh running for 17s
143.49/21.54	% /export/starexec/sandbox2/solver/bin/lams/b.split.sh running for 31s
145.40/21.80	% /export/starexec/sandbox2/solver/bin/lams/s4.sh running for 15s
178.86/26.61	% /export/starexec/sandbox2/solver/bin/lams/b.rw.sh running for 26s
184.79/27.58	% /export/starexec/sandbox2/solver/bin/lams/c_ic.sh running for 42s
185.67/27.66	% /export/starexec/sandbox2/solver/bin/lams/s1.f.sh running for 15s
220.71/32.68	% /export/starexec/sandbox2/solver/bin/lams/c.preprocess2.sh running for 21s
248.01/36.60	% /export/starexec/sandbox2/solver/bin/lams/sh.or.sh running for 26s
290.46/42.68	% /export/starexec/sandbox2/solver/bin/lams/new.cs3.comb.sh running for 18s
359.61/52.57	% /export/starexec/sandbox2/solver/bin/lams/old_b2.sh running for 31s
359.61/52.68	% /export/starexec/sandbox2/solver/bin/lams/sp5.sh running for 36s
359.61/52.68	% /export/starexec/sandbox2/solver/bin/lams/b2.sh running for 15s
366.55/53.70	% /export/starexec/sandbox2/solver/bin/lams/b.lcnf.od.sh running for 26s
414.46/60.53	% /export/starexec/sandbox2/solver/bin/lams/c.s.sh running for 36s
428.86/62.61	% /export/starexec/sandbox2/solver/bin/lams/b3.sh running for 26s
463.62/67.66	% /export/starexec/sandbox2/solver/bin/lams/cmb.lcnf.sh running for 10s
475.42/69.47	% /export/starexec/sandbox2/solver/bin/lams/sh.eqenc.sh running for 17s
475.42/69.48	% /export/starexec/sandbox2/solver/bin/lams/p.ll.e2.sh running for 17s
476.13/69.52	% /export/starexec/sandbox2/solver/bin/lams/c.cmb.sh running for 21s
531.46/77.48	% /export/starexec/sandbox2/solver/bin/lams/cs1.sh running for 47s
547.16/79.71	% /export/starexec/sandbox2/solver/bin/lams/old_s4.sh running for 36s
593.18/86.32	% /export/starexec/sandbox2/solver/bin/lams/old.cs2combs.sh running for 23s
609.58/88.70	% /export/starexec/sandbox2/solver/bin/lams/b5.sh running for 7s
612.96/89.26	% /export/starexec/sandbox2/solver/bin/lams/eignore3.sh running for 36s
620.63/90.33	% /export/starexec/sandbox2/solver/bin/lams/e_lift.sh running for 38s
657.08/95.54	% /export/starexec/sandbox2/solver/bin/lams/e_lift_late.sh running for 31s
664.27/96.57	% /export/starexec/sandbox2/solver/bin/lams/s6.2.sh running for 10s
733.11/106.46	% /export/starexec/sandbox2/solver/bin/lams/sh.linf.sh running for 23s
753.47/109.34	% /export/starexec/sandbox2/solver/bin/lams/b6.sh running for 15s
798.18/115.73	% /export/starexec/sandbox2/solver/bin/lams/c.no_rw.sh running for 21s
799.50/115.94	% Solved by lams/c.no_rw.sh.
799.50/115.94	% done 119 iterations in 0.182s
799.50/115.94	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
799.50/115.94	% SZS output start Refutation
799.50/115.94	tff(sup_singleset, axiom, (![X]: (sup(singleton(X)) = X))).
799.50/115.94	tff('0', plain,  (!!((^[Y0 : $i]: (sup(singleton(Y0)) = Y0)))),
799.50/115.94	    inference('cnf', [status(esa)], [sup_singleset])).
799.50/115.94	tff('1', plain, ![X1]: sup(singleton(X1)) = X1,
799.50/115.94	    inference('lazy_cnf_forall', [status(thm)], ['0'])).
799.50/115.94	tff(multiplication_def, axiom,
799.50/115.94	  (![X:(($i > $o)),Y:(($i > $o))]:
799.50/115.94	     (multiplication(sup(X),sup(Y)) = sup(crossmult(X,Y))))).
799.50/115.94	tff('2', plain,
799.50/115.94	     (!!((^[Y0 : $i > $o]:
799.50/115.94	            (!!((^[Y1 : $i > $o]:
799.50/115.94	                   (multiplication(sup(Y0), sup(Y1)) = sup(crossmult(Y0, Y1))))))))),
799.50/115.94	    inference('cnf', [status(esa)], [multiplication_def])).
799.50/115.94	tff('3', plain,
799.50/115.94	    ![X1 : $i > $o]:
799.50/115.94	       (!!((^[Y0 : $i > $o]:
799.50/115.94	              (multiplication(sup(X1), sup(Y0)) = sup(crossmult(X1, Y0)))))),
799.50/115.94	    inference('lazy_cnf_forall', [status(thm)], ['2'])).
799.50/115.94	tff('4', plain,
799.50/115.94	    ![X1 : $i > $o, X2 : $i > $o]:
799.50/115.94	      multiplication(sup(X1), sup(X2)) = sup(crossmult(X1, X2)),
799.50/115.94	    inference('lazy_cnf_forall', [status(thm)], ['3'])).
799.50/115.94	tff(multiplication_distrl, conjecture,
799.50/115.94	  (![X1,X2,X3]:
799.50/115.94	     (multiplication(addition(X1,X2),X3) =
799.50/115.94	      addition(multiplication(X1,X3),multiplication(X2,X3))))).
799.50/115.94	tff(zf_stmt_0, negated_conjecture,
799.50/115.94	  (~
799.50/115.94	    (![X1,X2,X3]:
799.50/115.94	       (multiplication(addition(X1,X2),X3) =
799.50/115.94	        addition(multiplication(X1,X3),multiplication(X2,X3)))))).
799.50/115.94	tff('5', plain,
799.50/115.94	    ~ (!!((^[Y0 : $i]:
799.50/115.94	             (!!((^[Y1 : $i]:
799.50/115.94	                    (!!((^[Y2 : $i]:
799.50/115.94	                           (multiplication(addition(Y0, Y1), Y2) =
799.50/115.94	                            addition(multiplication(Y0, Y2), 
799.50/115.94	                              multiplication(Y1, Y2)))))))))))),
799.50/115.94	    inference('cnf', [status(esa)], [zf_stmt_0])).
799.50/115.94	tff('6', plain,
799.50/115.94	    ~ (!!((^[Y0 : $i]:
799.50/115.94	             (!!((^[Y1 : $i]:
799.50/115.94	                    (multiplication(addition('#sk91', Y0), Y1) =
799.50/115.94	                     addition(multiplication('#sk91', Y1), 
799.50/115.94	                       multiplication(Y0, Y1))))))))),
799.50/115.94	    inference('lazy_cnf_exists', [status(thm)], ['5'])).
799.50/115.94	tff('7', plain,
799.50/115.94	    ~ (!!((^[Y0 : $i]:
799.50/115.94	             (multiplication(addition('#sk91', '#sk92'), Y0) =
799.50/115.94	              addition(multiplication('#sk91', Y0), 
799.50/115.94	                multiplication('#sk92', Y0)))))),
799.50/115.94	    inference('lazy_cnf_exists', [status(thm)], ['6'])).
799.50/115.94	tff(addition_def, axiom, addition(X10, X11) =
799.50/115.94	  sup(union(singleton(X10), singleton(X11)))).
799.50/115.94	tff('8', plain,
799.50/115.94	    ![X11,X10]:
799.50/115.94	      (addition(X10,X11) = sup(union(singleton(X10),singleton(X11)))),
799.50/115.94	    define([status(thm)])).
799.50/115.94	tff('9', plain,
799.50/115.94	    ~ (!!((^[Y0 : $i]:
799.50/115.94	             (multiplication(
799.50/115.94	                sup(union(singleton('#sk91'), singleton('#sk92'))), Y0) =
799.50/115.94	              addition(multiplication('#sk91', Y0), 
799.50/115.94	                multiplication('#sk92', Y0)))))),
799.50/115.94	    inference('rw', [status(thm)], ['7', '8'])).
799.50/115.94	tff('10', plain,
799.50/115.94	    multiplication(sup(union(singleton('#sk91'), singleton('#sk92'))), 
799.50/115.94	      '#sk93')
799.50/115.94	     != addition(multiplication('#sk91', '#sk93'), 
799.50/115.94	          multiplication('#sk92', '#sk93')),
799.50/115.94	    inference('lazy_cnf_exists', [status(thm)], ['9'])).
799.50/115.94	tff('11', plain,
799.50/115.94	    multiplication(sup(union(singleton('#sk91'), singleton('#sk92'))), 
799.50/115.94	      '#sk93')
799.50/115.94	     != sup(
799.50/115.94	          union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	            singleton(multiplication('#sk92', '#sk93')))),
799.50/115.94	    inference('rw', [status(thm)], ['10', '8'])).
799.50/115.94	tff('12', plain,
799.50/115.94	    ![X0 : $i > $o, X1 : $i > $o]:
799.50/115.94	      ((^[Y0 : $i]: crossmult((^[Y1 : $i]: X1(Y1)), (^[Y1 : $i]: X0(Y1)), Y0))
799.50/115.94	        != (^[Y0 : $i]:
799.50/115.94	              union(
799.50/115.94	                (^[Y1 : $i]: singleton(multiplication('#sk91', '#sk93'), Y1)), 
799.50/115.94	                (^[Y1 : $i]: singleton(multiplication('#sk92', '#sk93'), Y1)), 
799.50/115.94	                Y0))
799.50/115.94	       | multiplication(sup(union(singleton('#sk91'), singleton('#sk92'))), 
799.50/115.94	           '#sk93')
799.50/115.94	          != multiplication(sup(X1), sup(X0))),
799.50/115.94	    inference('ext_sup', [status(thm)], ['4', '11'])).
799.50/115.94	tff('13', plain,
799.50/115.94	    ![X0 : $i > $o, X1 : $i > $o]:
799.50/115.94	      (crossmult(X1, X0)
799.50/115.94	        != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	             singleton(multiplication('#sk92', '#sk93')))
799.50/115.94	       | multiplication(sup(union(singleton('#sk91'), singleton('#sk92'))), 
799.50/115.94	           '#sk93')
799.50/115.94	          != multiplication(sup(X1), sup(X0))),
799.50/115.94	    inference('ho_norm', [status(thm)], ['12'])).
799.50/115.94	tff('14', plain,
799.50/115.94	    ![X0 : $i > $o]:
799.50/115.94	      ('#sk93' != sup((^[Y0 : $i]: X0(Y0)))
799.50/115.94	       | crossmult(
799.50/115.94	           (^[Y0 : $i]:
799.50/115.94	              union((^[Y1 : $i]: singleton('#sk91', Y1)), 
799.50/115.94	                (^[Y1 : $i]: singleton('#sk92', Y1)), Y0)), X0)
799.50/115.94	          != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	               singleton(multiplication('#sk92', '#sk93')))),
799.50/115.94	    inference('ext_eqres', [status(thm)], ['13'])).
799.50/115.94	tff('15', plain,
799.50/115.94	    ![X0 : $i > $o]:
799.50/115.94	      ('#sk93' != sup(X0)
799.50/115.94	       | crossmult(union(singleton('#sk91'), singleton('#sk92')), X0)
799.50/115.94	          != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	               singleton(multiplication('#sk92', '#sk93')))),
799.50/115.94	    inference('ho_norm', [status(thm)], ['14'])).
799.50/115.94	tff('16', plain,
799.50/115.94	    ![X0]:
799.50/115.94	      ('#sk93' != X0
799.50/115.94	       | crossmult(union(singleton('#sk91'), singleton('#sk92')), 
799.50/115.94	           singleton(X0))
799.50/115.94	          != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	               singleton(multiplication('#sk92', '#sk93')))),
799.50/115.94	    inference('sup-', [status(thm)], ['1', '15'])).
799.50/115.94	tff('17', plain,
799.50/115.94	    crossmult(union(singleton('#sk91'), singleton('#sk92')), 
799.50/115.94	      singleton('#sk93'))
799.50/115.94	     != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	          singleton(multiplication('#sk92', '#sk93'))),
799.50/115.94	    inference('simplify', [status(thm)], ['16'])).
799.50/115.94	tff('18', plain,
799.50/115.94	    crossmult(union(singleton('#sk91'), singleton('#sk92')), 
799.50/115.94	      singleton('#sk93'), '#_fresh_sk872')
799.50/115.94	     != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	          singleton(multiplication('#sk92', '#sk93')), '#_fresh_sk872'),
799.50/115.94	    inference('neg_ext', [status(thm)], ['17'])).
799.50/115.94	tff('19', plain,
799.50/115.94	    ( crossmult(union(singleton('#sk91'), singleton('#sk92')), 
799.50/115.94	        singleton('#sk93'), '#_fresh_sk872')
799.50/115.94	     |  union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	          singleton(multiplication('#sk92', '#sk93')), '#_fresh_sk872')),
799.50/115.94	    inference('eq_elim', [status(thm)], ['18'])).
799.50/115.94	tff(crossmult_def, axiom, crossmult(X12, X13, X14) =>
799.50/115.94	  ((??((^[Y0 : $i]:
799.50/115.94	          (??((^[Y1 : $i]: (X12(Y0)&X13(Y1)&(X14 = multiplication(Y0, Y1)))))))))
799.50/115.94	   = $true)).
799.50/115.94	tff('20', plain,
799.50/115.94	    ![X12:(($i > $o)),X13:(($i > $o)),X14]:
799.50/115.94	      (crossmult(X12,X13,X14) <=>
799.50/115.94	       (?[X19,X21]: (X12(X19) & X13(X21) & (X14 = multiplication(X19,X21))))),
799.50/115.94	    inference('rw.lit', [status(esa)], [crossmult_def])).
799.50/115.94	tff('21', plain,
799.50/115.94	    ( (??((^[Y0 : $i]:
799.50/115.94	             (??((^[Y1 : $i]:
799.50/115.94	                    (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.94	                     singleton('#sk93', Y1)&
799.50/115.94	                     ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))
799.50/115.94	     |  union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.94	          singleton(multiplication('#sk92', '#sk93')), '#_fresh_sk872')),
799.50/115.94	    inference('rw_clause', [status(thm)], ['19', '20'])).
799.50/115.94	tff(union_def, axiom, union(X1, X2, X3) => ((X2(X3) | X1(X3)) = $true)).
799.50/115.94	tff('22', plain,
799.50/115.94	    ![X1:(($i > $o)),X2:(($i > $o)),X3]:
799.50/115.94	      (union(X1,X2,X3) <=> (X1(X3) | X2(X3))),
799.50/115.94	    inference('rw.lit', [status(esa)], [union_def])).
799.50/115.94	tff('23', plain,
799.50/115.94	    ( (singleton(multiplication('#sk92', '#sk93'), '#_fresh_sk872') |
799.50/115.94	       singleton(multiplication('#sk91', '#sk93'), '#_fresh_sk872'))
799.50/115.94	     |  (??((^[Y0 : $i]:
799.50/115.94	               (??((^[Y1 : $i]:
799.50/115.94	                      (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.94	                       singleton('#sk93', Y1)&
799.50/115.94	                       ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.94	    inference('rw_clause', [status(thm)], ['21', '22'])).
799.50/115.94	tff(singleton_def, axiom, singleton(X5, X4) = (X4 = X5)).
799.50/115.94	tff('24', plain, ![X5,X4]: (singleton(X5,X4) = (X4 = X5)),
799.50/115.94	    define([status(thm)])).
799.50/115.94	tff('25', plain,
799.50/115.94	    ( (('#_fresh_sk872' = multiplication('#sk92', '#sk93')) |
799.50/115.94	       ('#_fresh_sk872' = multiplication('#sk91', '#sk93')))
799.50/115.94	     |  (??((^[Y0 : $i]:
799.50/115.94	               (??((^[Y1 : $i]:
799.50/115.94	                      (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.94	                       singleton('#sk93', Y1)&
799.50/115.94	                       ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.94	    inference('rw', [status(thm)], ['23', '24', '24'])).
799.50/115.94	tff('26', plain,
799.50/115.94	    ('#_fresh_sk872' = multiplication('#sk92', '#sk93')
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')
799.50/115.94	     |  (??((^[Y0 : $i]:
799.50/115.94	               (??((^[Y1 : $i]:
799.50/115.94	                      (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.94	                       singleton('#sk93', Y1)&
799.50/115.94	                       ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.94	    inference('lazy_cnf_or', [status(thm)], ['25'])).
799.50/115.94	tff('27', plain,
799.50/115.94	    ( (??((^[Y0 : $i]:
799.50/115.94	             (union(singleton('#sk91'), singleton('#sk92'), '#sk873')&
799.50/115.94	              singleton('#sk93', Y0)&
799.50/115.94	              ('#_fresh_sk872' = multiplication('#sk873', Y0))))))
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')),
799.50/115.94	    inference('lazy_cnf_exists', [status(thm)], ['26'])).
799.50/115.94	tff('28', plain,
799.50/115.94	    ( (union(singleton('#sk91'), singleton('#sk92'), '#sk873')&
799.50/115.94	       singleton('#sk93', '#sk874')&
799.50/115.94	       ('#_fresh_sk872' = multiplication('#sk873', '#sk874')))
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')),
799.50/115.94	    inference('lazy_cnf_exists', [status(thm)], ['27'])).
799.50/115.94	tff('29', plain,
799.50/115.94	    ( (union(singleton('#sk91'), singleton('#sk92'), '#sk873')&
799.50/115.94	       ('#sk874' = '#sk93')&
799.50/115.94	       ('#_fresh_sk872' = multiplication('#sk873', '#sk874')))
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')),
799.50/115.94	    inference('rw', [status(thm)], ['28', '24'])).
799.50/115.94	tff('30', plain,
799.50/115.94	    ('#_fresh_sk872' = multiplication('#sk873', '#sk874')
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')
799.50/115.94	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_and', [status(thm)], ['29'])).
799.50/115.95	tff('31', plain,
799.50/115.95	    crossmult(union(singleton('#sk91'), singleton('#sk92')), 
799.50/115.95	      singleton('#sk93'), '#_fresh_sk872')
799.50/115.95	     != union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.95	          singleton(multiplication('#sk92', '#sk93')), '#_fresh_sk872'),
799.50/115.95	    inference('neg_ext', [status(thm)], ['17'])).
799.50/115.95	tff('32', plain,
799.50/115.95	    (~ crossmult(union(singleton('#sk91'), singleton('#sk92')), 
799.50/115.95	         singleton('#sk93'), '#_fresh_sk872')
799.50/115.95	     | ~ union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.95	           singleton(multiplication('#sk92', '#sk93')), '#_fresh_sk872')),
799.50/115.95	    inference('eq_elim', [status(thm)], ['31'])).
799.50/115.95	tff(crossmult_def, axiom, ~ crossmult(X12, X13, X14) =>
799.50/115.95	  ((??((^[Y0 : $i]:
799.50/115.95	          (??((^[Y1 : $i]: (X12(Y0)&X13(Y1)&(X14 = multiplication(Y0, Y1)))))))))
799.50/115.95	   != $true)).
799.50/115.95	tff('33', plain,
799.50/115.95	    ![X12:(($i > $o)),X13:(($i > $o)),X14]:
799.50/115.95	      ((~crossmult(X12,X13,X14)) <=>
799.50/115.95	       (~
799.50/115.95	         (?[X19,X21]: (X12(X19) & X13(X21) & (X14 = multiplication(X19,X21)))))),
799.50/115.95	    inference('rw.lit', [status(esa)], [crossmult_def])).
799.50/115.95	tff('34', plain,
799.50/115.95	    (~ (??((^[Y0 : $i]:
799.50/115.95	              (??((^[Y1 : $i]:
799.50/115.95	                     (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.95	                      singleton('#sk93', Y1)&
799.50/115.95	                      ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))
799.50/115.95	     | ~ union(singleton(multiplication('#sk91', '#sk93')), 
799.50/115.95	           singleton(multiplication('#sk92', '#sk93')), '#_fresh_sk872')),
799.50/115.95	    inference('rw_clause', [status(thm)], ['32', '33'])).
799.50/115.95	tff(union_def, axiom, ~ union(X1, X2, X3) => ((X2(X3) | X1(X3)) != $true)).
799.50/115.95	tff('35', plain,
799.50/115.95	    ![X1:(($i > $o)),X2:(($i > $o)),X3]:
799.50/115.95	      ((~union(X1,X2,X3)) <=> (~(X2(X3) | X1(X3)))),
799.50/115.95	    inference('rw.lit', [status(esa)], [union_def])).
799.50/115.95	tff('36', plain,
799.50/115.95	    (~ (singleton(multiplication('#sk92', '#sk93'), '#_fresh_sk872') |
799.50/115.95	        singleton(multiplication('#sk91', '#sk93'), '#_fresh_sk872'))
799.50/115.95	     | ~ (??((^[Y0 : $i]:
799.50/115.95	                (??((^[Y1 : $i]:
799.50/115.95	                       (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.95	                        singleton('#sk93', Y1)&
799.50/115.95	                        ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.95	    inference('rw_clause', [status(thm)], ['34', '35'])).
799.50/115.95	tff('37', plain,
799.50/115.95	    (~ (('#_fresh_sk872' = multiplication('#sk92', '#sk93')) |
799.50/115.95	        ('#_fresh_sk872' = multiplication('#sk91', '#sk93')))
799.50/115.95	     | ~ (??((^[Y0 : $i]:
799.50/115.95	                (??((^[Y1 : $i]:
799.50/115.95	                       (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.95	                        singleton('#sk93', Y1)&
799.50/115.95	                        ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.95	    inference('rw', [status(thm)], ['36', '24', '24'])).
799.50/115.95	tff('38', plain,
799.50/115.95	    ('#_fresh_sk872' != multiplication('#sk92', '#sk93')
799.50/115.95	     | ~ (??((^[Y0 : $i]:
799.50/115.95	                (??((^[Y1 : $i]:
799.50/115.95	                       (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.95	                        singleton('#sk93', Y1)&
799.50/115.95	                        ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.95	    inference('lazy_cnf_or', [status(thm)], ['37'])).
799.50/115.95	tff('39', plain,
799.50/115.95	    ![X1]:
799.50/115.95	      (~ (??((^[Y0 : $i]:
799.50/115.95	                (union(singleton('#sk91'), singleton('#sk92'), X1)&
799.50/115.95	                 singleton('#sk93', Y0)&
799.50/115.95	                 ('#_fresh_sk872' = multiplication(X1, Y0))))))
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_forall', [status(thm)], ['38'])).
799.50/115.95	tff('40', plain,
799.50/115.95	    ![X1, X2]:
799.50/115.95	      (~ (union(singleton('#sk91'), singleton('#sk92'), X1)&
799.50/115.95	          singleton('#sk93', X2)&('#_fresh_sk872' = multiplication(X1, X2)))
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_forall', [status(thm)], ['39'])).
799.50/115.95	tff('41', plain,
799.50/115.95	    ![X1, X2]:
799.50/115.95	      (~ (union(singleton('#sk91'), singleton('#sk92'), X1)&(X2 = '#sk93')&
799.50/115.95	          ('#_fresh_sk872' = multiplication(X1, X2)))
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('rw', [status(thm)], ['40', '24'])).
799.50/115.95	tff('42', plain,
799.50/115.95	    ![X1, X2]:
799.50/115.95	      (~ union(singleton('#sk91'), singleton('#sk92'), X1)
799.50/115.95	       | X2 != '#sk93'
799.50/115.95	       | '#_fresh_sk872' != multiplication(X1, X2)
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_and', [status(thm)], ['41'])).
799.50/115.95	tff('43', plain,
799.50/115.95	    ![X1]:
799.50/115.95	      ('#_fresh_sk872' != multiplication('#sk92', '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication(X1, '#sk93')
799.50/115.95	       | ~ union(singleton('#sk91'), singleton('#sk92'), X1)),
799.50/115.95	    inference('simplify', [status(thm)], ['42'])).
799.50/115.95	tff('44', plain,
799.50/115.95	    ![X0]:
799.50/115.95	      (~ (singleton('#sk92', X0) | singleton('#sk91', X0))
799.50/115.95	       | '#_fresh_sk872' != multiplication(X0, '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('rw_clause', [status(thm)], ['43', '35'])).
799.50/115.95	tff('45', plain,
799.50/115.95	    ![X0]:
799.50/115.95	      (~ ((X0 = '#sk92') | (X0 = '#sk91'))
799.50/115.95	       | '#_fresh_sk872' != multiplication(X0, '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('rw', [status(thm)], ['44', '24', '24'])).
799.50/115.95	tff('46', plain,
799.50/115.95	    ![X0]:
799.50/115.95	      (X0 != '#sk92'
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk92', '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication(X0, '#sk93')),
799.50/115.95	    inference('lazy_cnf_or', [status(thm)], ['45'])).
799.50/115.95	tff('47', plain, '#_fresh_sk872' != multiplication('#sk92', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['46'])).
799.50/115.95	tff('48', plain,
799.50/115.95	    ('#_fresh_sk872' != multiplication('#sk91', '#sk93')
799.50/115.95	     | ~ (??((^[Y0 : $i]:
799.50/115.95	                (??((^[Y1 : $i]:
799.50/115.95	                       (union(singleton('#sk91'), singleton('#sk92'), Y0)&
799.50/115.95	                        singleton('#sk93', Y1)&
799.50/115.95	                        ('#_fresh_sk872' = multiplication(Y0, Y1)))))))))),
799.50/115.95	    inference('lazy_cnf_or', [status(thm)], ['37'])).
799.50/115.95	tff('49', plain,
799.50/115.95	    ![X1]:
799.50/115.95	      (~ (??((^[Y0 : $i]:
799.50/115.95	                (union(singleton('#sk91'), singleton('#sk92'), X1)&
799.50/115.95	                 singleton('#sk93', Y0)&
799.50/115.95	                 ('#_fresh_sk872' = multiplication(X1, Y0))))))
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('lazy_cnf_forall', [status(thm)], ['48'])).
799.50/115.95	tff('50', plain,
799.50/115.95	    ![X1, X2]:
799.50/115.95	      (~ (union(singleton('#sk91'), singleton('#sk92'), X1)&
799.50/115.95	          singleton('#sk93', X2)&('#_fresh_sk872' = multiplication(X1, X2)))
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('lazy_cnf_forall', [status(thm)], ['49'])).
799.50/115.95	tff('51', plain,
799.50/115.95	    ![X1, X2]:
799.50/115.95	      (~ (union(singleton('#sk91'), singleton('#sk92'), X1)&(X2 = '#sk93')&
799.50/115.95	          ('#_fresh_sk872' = multiplication(X1, X2)))
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('rw', [status(thm)], ['50', '24'])).
799.50/115.95	tff('52', plain,
799.50/115.95	    ![X1, X2]:
799.50/115.95	      (~ union(singleton('#sk91'), singleton('#sk92'), X1)
799.50/115.95	       | X2 != '#sk93'
799.50/115.95	       | '#_fresh_sk872' != multiplication(X1, X2)
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('lazy_cnf_and', [status(thm)], ['51'])).
799.50/115.95	tff('53', plain,
799.50/115.95	    ![X1]:
799.50/115.95	      ('#_fresh_sk872' != multiplication('#sk91', '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication(X1, '#sk93')
799.50/115.95	       | ~ union(singleton('#sk91'), singleton('#sk92'), X1)),
799.50/115.95	    inference('simplify', [status(thm)], ['52'])).
799.50/115.95	tff('54', plain,
799.50/115.95	    ![X0]:
799.50/115.95	      (~ (singleton('#sk92', X0) | singleton('#sk91', X0))
799.50/115.95	       | '#_fresh_sk872' != multiplication(X0, '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('rw_clause', [status(thm)], ['53', '35'])).
799.50/115.95	tff('55', plain,
799.50/115.95	    ![X0]:
799.50/115.95	      (~ ((X0 = '#sk92') | (X0 = '#sk91'))
799.50/115.95	       | '#_fresh_sk872' != multiplication(X0, '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('rw', [status(thm)], ['54', '24', '24'])).
799.50/115.95	tff('56', plain,
799.50/115.95	    ![X0]:
799.50/115.95	      (X0 != '#sk91'
799.50/115.95	       | '#_fresh_sk872' != multiplication('#sk91', '#sk93')
799.50/115.95	       | '#_fresh_sk872' != multiplication(X0, '#sk93')),
799.50/115.95	    inference('lazy_cnf_or', [status(thm)], ['55'])).
799.50/115.95	tff('57', plain, '#_fresh_sk872' != multiplication('#sk91', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['56'])).
799.50/115.95	tff('58', plain, '#_fresh_sk872' = multiplication('#sk873', '#sk874'),
799.50/115.95	    inference('simplify_reflect-', [status(thm)], ['30', '47', '57'])).
799.50/115.95	tff('59', plain,
799.50/115.95	    ('#sk874' = '#sk93'
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_and', [status(thm)], ['29'])).
799.50/115.95	tff('60', plain, '#_fresh_sk872' != multiplication('#sk92', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['46'])).
799.50/115.95	tff('61', plain, '#_fresh_sk872' != multiplication('#sk91', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['56'])).
799.50/115.95	tff('62', plain, '#sk874' = '#sk93',
799.50/115.95	    inference('simplify_reflect-', [status(thm)], ['59', '60', '61'])).
799.50/115.95	tff('63', plain, '#_fresh_sk872' = multiplication('#sk873', '#sk93'),
799.50/115.95	    inference('demod', [status(thm)], ['58', '62'])).
799.50/115.95	tff('64', plain,
799.50/115.95	    ( union(singleton('#sk91'), singleton('#sk92'), '#sk873')
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_and', [status(thm)], ['29'])).
799.50/115.95	tff('65', plain,
799.50/115.95	    ( (singleton('#sk92', '#sk873') | singleton('#sk91', '#sk873'))
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('rw_clause', [status(thm)], ['64', '22'])).
799.50/115.95	tff('66', plain,
799.50/115.95	    ( (('#sk873' = '#sk92') | ('#sk873' = '#sk91'))
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')),
799.50/115.95	    inference('rw', [status(thm)], ['65', '24', '24'])).
799.50/115.95	tff('67', plain,
799.50/115.95	    ('#sk873' = '#sk92'
799.50/115.95	     | '#sk873' = '#sk91'
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk91', '#sk93')
799.50/115.95	     | '#_fresh_sk872' = multiplication('#sk92', '#sk93')),
799.50/115.95	    inference('lazy_cnf_or', [status(thm)], ['66'])).
799.50/115.95	tff('68', plain, '#_fresh_sk872' != multiplication('#sk92', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['46'])).
799.50/115.95	tff('69', plain, '#_fresh_sk872' != multiplication('#sk91', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['56'])).
799.50/115.95	tff('70', plain, ('#sk873' = '#sk92' | '#sk873' = '#sk91'),
799.50/115.95	    inference('simplify_reflect-', [status(thm)], ['67', '68', '69'])).
799.50/115.95	tff('71', plain, '#_fresh_sk872' = multiplication('#sk873', '#sk93'),
799.50/115.95	    inference('demod', [status(thm)], ['58', '62'])).
799.50/115.95	tff('72', plain,
799.50/115.95	    ('#_fresh_sk872' = multiplication('#sk92', '#sk93') | '#sk873' = '#sk91'),
799.50/115.95	    inference('sup+', [status(thm)], ['70', '71'])).
799.50/115.95	tff('73', plain, '#_fresh_sk872' != multiplication('#sk92', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['46'])).
799.50/115.95	tff('74', plain, '#sk873' = '#sk91',
799.50/115.95	    inference('simplify_reflect-', [status(thm)], ['72', '73'])).
799.50/115.95	tff('75', plain, '#_fresh_sk872' = multiplication('#sk91', '#sk93'),
799.50/115.95	    inference('demod', [status(thm)], ['63', '74'])).
799.50/115.95	tff('76', plain, '#_fresh_sk872' != multiplication('#sk91', '#sk93'),
799.50/115.95	    inference('simplify', [status(thm)], ['56'])).
799.50/115.95	tff('77', plain, $false,
799.50/115.95	    inference('simplify_reflect-', [status(thm)], ['75', '76'])).
799.50/115.95	
799.50/115.95	% SZS output end Refutation
799.50/115.95	
799.50/115.95	
799.50/115.95	% Terminating...
799.84/116.04	% Runner terminated.
799.84/116.05	% Zipperpin 1.5 exiting
799.84/116.05	EOF