0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.17	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.y6KIwcuH8R
0.18/0.38	% Computer   : n009.cluster.edu
0.18/0.38	% Model      : x86_64 x86_64
0.18/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.38	% Memory     : 8042.1875MB
0.18/0.38	% OS         : Linux 3.10.0-693.el7.x86_64
0.18/0.38	% CPULimit   : 1200
0.18/0.38	% DateTime   : Tue Jul 13 15:40:12 EDT 2021
0.18/0.38	% CPUTime    : 
0.18/0.38	% Running portfolio for 120 s
0.18/0.38	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.18/0.38	% Number of cores: 8
0.18/0.38	% Python version: Python 3.6.8
0.18/0.38	% Running in HO mode
0.53/0.68	% Estimated wc time : 1286
0.53/0.68	% Estimated cpu time (7 cpus) : 183.71428571428572
0.58/0.72	% /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s
0.58/0.73	% /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.58/0.76	% /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s
0.58/0.77	% /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s
0.58/0.77	% /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s
0.58/0.78	% /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s
0.58/0.78	% /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s
69.71/10.69	% /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s
90.80/13.68	% Solved by lams/new_b3.2.norw.sh.
90.80/13.68	% done 684 iterations in 12.919s
90.80/13.68	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
90.80/13.68	% SZS output start Refutation
90.80/13.68	tff(fact_20_usubstappf_Osimps_I2_J, axiom,
90.80/13.68	  (![Sigma:produc1418842292n_game,U:set_variable,Theta:trm,Eta:trm]:
90.80/13.68	     (uSubst516392804stappf(Sigma,U,geq(Theta,Eta)) =
90.80/13.68	      uSubst152838031e_Geqo(uSubst516392818stappt(Sigma,U,Theta),
90.80/13.68	                            uSubst516392818stappt(Sigma,U,Eta))))).
90.80/13.68	tff('0', plain,
90.80/13.68	     (!!((^[Y0 : produc1418842292n_game]:
90.80/13.68	            (!!((^[Y1 : set_variable]:
90.80/13.68	                   (!!((^[Y2 : trm]:
90.80/13.68	                          (!!((^[Y3 : trm]:
90.80/13.68	                                 (uSubst516392804stappf(Y0, Y1, geq(Y2, Y3)) =
90.80/13.68	                                  uSubst152838031e_Geqo(
90.80/13.68	                                    uSubst516392818stappt(Y0, Y1, Y2), 
90.80/13.68	                                    uSubst516392818stappt(Y0, Y1, Y3))))))))))))))),
90.80/13.68	    inference('cnf', [status(esa)], [fact_20_usubstappf_Osimps_I2_J])).
90.80/13.68	tff('1', plain,
90.80/13.68	     (!!(($B(!!, 
90.80/13.68	          ($B(($B(!!)), 
90.80/13.68	           ($B(($B(($B(!!)))), 
90.80/13.68	            ($S(($B(S, 
90.80/13.68	                 ($B(($B(S)), 
90.80/13.68	                  ($B(($B(($B(S)))), 
90.80/13.68	                   ($B(($B(($B(($B(=)))))), 
90.80/13.68	                    ($C(($B(C, 
90.80/13.68	                         ($B(($B(B)), ($B(($B(B)), uSubst516392804stappf)))))), 
90.80/13.68	                     geq)))))))))), 
90.80/13.68	             ($S(($B(S, 
90.80/13.68	                  ($B(($B(C)), 
90.80/13.68	                   ($B(($B(($B(B)))), 
90.80/13.68	                    ($B(($B(($B(uSubst152838031e_Geqo)))), 
90.80/13.68	                     uSubst516392818stappt)))))))), 
90.80/13.68	              uSubst516392818stappt)))))))))))),
90.80/13.68	    inference('lams2combs', [status(thm)], ['0'])).
90.80/13.68	tff('2', plain,
90.80/13.68	    ![X1 : produc1418842292n_game]:
90.80/13.68	       (!!(($B(!!, 
90.80/13.68	            ($B(($B(!!)), 
90.80/13.68	             ($S(($B(S, 
90.80/13.68	                  ($B(($B(S)), 
90.80/13.68	                   ($B(($B(($B(=)))), 
90.80/13.68	                    ($C(($B(B, ($B(B, uSubst516392804stappf(X1))))), geq)))))))), 
90.80/13.68	              ($S(($B(C, 
90.80/13.68	                   ($B(($B(B)), 
90.80/13.68	                    ($B(($B(uSubst152838031e_Geqo)), 
90.80/13.68	                     uSubst516392818stappt(X1))))))), 
90.80/13.68	               uSubst516392818stappt(X1))))))))))),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['1'])).
90.80/13.68	tff('3', plain,
90.80/13.68	    ![X1 : produc1418842292n_game, X2 : set_variable]:
90.80/13.68	       (!!(($B(!!, 
90.80/13.68	            ($S(($B(S, 
90.80/13.68	                 ($B(($B(=)), ($B(($B(uSubst516392804stappf(X1, X2))), geq)))))), 
90.80/13.68	             ($C(($B(B, 
90.80/13.68	                  ($B(uSubst152838031e_Geqo, uSubst516392818stappt(X1, X2))))), 
90.80/13.68	              uSubst516392818stappt(X1, X2))))))))),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['2'])).
90.80/13.68	tff('4', plain,
90.80/13.68	    ![X1 : produc1418842292n_game, X2 : set_variable, X3 : trm]:
90.80/13.68	       (!!(($S(($B(=, ($B(uSubst516392804stappf(X1, X2), geq(X3))))), 
90.80/13.68	            ($B(uSubst152838031e_Geqo(uSubst516392818stappt(X1, X2, X3)), 
90.80/13.68	             uSubst516392818stappt(X1, X2))))))),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['3'])).
90.80/13.68	tff('5', plain,
90.80/13.68	    ![X1 : produc1418842292n_game, X2 : set_variable, X3 : trm, X4 : trm]:
90.80/13.68	      uSubst516392804stappf(X1, X2, geq(X3, X4))
90.80/13.68	       = uSubst152838031e_Geqo(uSubst516392818stappt(X1, X2, X3), 
90.80/13.68	           uSubst516392818stappt(X1, X2, X4)),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['4'])).
90.80/13.68	tff(fact_151_Geqo_Oelims, axiom,
90.80/13.68	  (![X2:option_trm,Xa:option_trm,Y2:option_fml]:
90.80/13.68	     ((uSubst152838031e_Geqo(X2,Xa) = Y2) =>
90.80/13.68	      ((![Theta2:trm]:
90.80/13.68	          ((X2 = some_trm(Theta2)) =>
90.80/13.68	           (![Eta2:trm]:
90.80/13.68	              ((Xa = some_trm(Eta2)) => (Y2 != some_fml(geq(Theta2,Eta2))))))) =>
90.80/13.68	       (((X2 = none_trm) => (Y2 != none_fml)) =>
90.80/13.68	        (~
90.80/13.68	          ((?[V2:trm]: (X2 = some_trm(V2))) =>
90.80/13.68	           ((Xa = none_trm) => (Y2 != none_fml))))))))).
90.80/13.68	tff('6', plain,
90.80/13.68	     (!!((^[Y0 : option_trm]:
90.80/13.68	            (!!((^[Y1 : option_trm]:
90.80/13.68	                   (!!((^[Y2 : option_fml]:
90.80/13.68	                          ((uSubst152838031e_Geqo(Y0, Y1) = Y2) =>
90.80/13.68	                           ((!!((^[Y3 : trm]:
90.80/13.68	                                   ((Y0 = some_trm(Y3)) =>
90.80/13.68	                                    (!!((^[Y4 : trm]:
90.80/13.68	                                           ((Y1 = some_trm(Y4)) =>
90.80/13.68	                                            (Y2 != some_fml(geq(Y3, Y4))))))))))) =>
90.80/13.68	                            (((Y0 = none_trm) => (Y2 != none_fml)) =>
90.80/13.68	                             (~(((??((^[Y3 : trm]: (Y0 = some_trm(Y3))))) =>
90.80/13.68	                                 ((Y1 = none_trm) => (Y2 != none_fml))))))))))))))))),
90.80/13.68	    inference('cnf', [status(esa)], [fact_151_Geqo_Oelims])).
90.80/13.68	tff('7', plain,
90.80/13.68	     (!!(($B(!!, 
90.80/13.68	          ($B(($B(!!)), 
90.80/13.68	           ($S(($B(S, 
90.80/13.68	                ($B(($B(S)), 
90.80/13.68	                 ($B(($B(($B(=>)))), ($B(($B(=)), uSubst152838031e_Geqo)))))))), 
90.80/13.68	            ($S(($B(S, 
90.80/13.68	                 ($B(($B(S)), 
90.80/13.68	                  ($B(($B(($B(=>)))), 
90.80/13.68	                   ($B(($B(($B(!!)))), 
90.80/13.68	                    ($C(($B(B, 
90.80/13.68	                         ($B(B, 
90.80/13.68	                          ($B(S, ($B(($B(=>)), ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                     ($B(($B(($B(!!)))), 
90.80/13.68	                      ($C(($B(B, 
90.80/13.68	                           ($B(B, 
90.80/13.68	                            ($B(S, 
90.80/13.68	                             ($B(($B(=>)), ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                       ($C(($B(B, ($B(B, !=)))), ($B(($B(some_fml)), geq)))))))))))))))))), 
90.80/13.68	             ($S(($B(B, 
90.80/13.68	                  ($B(S, 
90.80/13.68	                   ($B(($B(=>)), 
90.80/13.68	                    ($C(($B(B, ($B(=>, ($C(=, none_trm)))))), 
90.80/13.68	                     ($C(!=, none_fml)))))))))), 
90.80/13.68	              ($B(($B(($B(~)))), 
90.80/13.68	               ($C(($B(B, 
90.80/13.68	                    ($B(B, ($B(=>, ($B(??, ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                ($C(($B(B, ($B(=>, ($C(=, none_trm)))))), ($C(!=, none_fml)))))))))))))))))))),
90.80/13.68	    inference('lams2combs', [status(thm)], ['6'])).
90.80/13.68	tff(conj_0, conjecture, (uSubst516392818stappt(sigma,ua,theta) != none_trm)).
90.80/13.68	tff(zf_stmt_0, negated_conjecture,
90.80/13.68	  (uSubst516392818stappt(sigma,ua,theta) = none_trm)).
90.80/13.68	tff('8', plain, uSubst516392818stappt(sigma, ua, theta) = none_trm,
90.80/13.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
90.80/13.68	tff('9', plain, uSubst516392818stappt(sigma, ua, theta) = none_trm,
90.80/13.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
90.80/13.68	tff('10', plain,
90.80/13.68	     (!!(($B(!!, 
90.80/13.68	          ($B(($B(!!)), 
90.80/13.68	           ($S(($B(S, 
90.80/13.68	                ($B(($B(S)), 
90.80/13.68	                 ($B(($B(($B(=>)))), ($B(($B(=)), uSubst152838031e_Geqo)))))))), 
90.80/13.68	            ($S(($B(S, 
90.80/13.68	                 ($B(($B(S)), 
90.80/13.68	                  ($B(($B(($B(=>)))), 
90.80/13.68	                   ($B(($B(($B(!!)))), 
90.80/13.68	                    ($C(($B(B, 
90.80/13.68	                         ($B(B, 
90.80/13.68	                          ($B(S, ($B(($B(=>)), ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                     ($B(($B(($B(!!)))), 
90.80/13.68	                      ($C(($B(B, 
90.80/13.68	                           ($B(B, 
90.80/13.68	                            ($B(S, 
90.80/13.68	                             ($B(($B(=>)), ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                       ($C(($B(B, ($B(B, !=)))), ($B(($B(some_fml)), geq)))))))))))))))))), 
90.80/13.68	             ($S(($B(B, 
90.80/13.68	                  ($B(S, 
90.80/13.68	                   ($B(($B(=>)), 
90.80/13.68	                    ($C(($B(B, 
90.80/13.68	                         ($B(=>, 
90.80/13.68	                          ($C(=, uSubst516392818stappt(sigma, ua, theta))))))), 
90.80/13.68	                     ($C(!=, none_fml)))))))))), 
90.80/13.68	              ($B(($B(($B(~)))), 
90.80/13.68	               ($C(($B(B, 
90.80/13.68	                    ($B(B, ($B(=>, ($B(??, ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                ($C(($B(B, 
90.80/13.68	                     ($B(=>, 
90.80/13.68	                      ($C(=, uSubst516392818stappt(sigma, ua, theta))))))), 
90.80/13.68	                 ($C(!=, none_fml)))))))))))))))))))),
90.80/13.68	    inference('demod', [status(thm)], ['7', '8', '9'])).
90.80/13.68	tff('11', plain,
90.80/13.68	    ![X1 : option_trm]:
90.80/13.68	       (!!(($B(!!, 
90.80/13.68	            ($S(($B(S, ($B(($B(=>)), ($B(=, uSubst152838031e_Geqo(X1))))))), 
90.80/13.68	             ($S(($B(S, 
90.80/13.68	                  ($B(($B(=>)), 
90.80/13.68	                   ($B(($B(!!)), 
90.80/13.68	                    ($B(($B(($S(($B(=>, ($B((=(X1)), some_trm)))))))), 
90.80/13.68	                     ($B(($B(($B(!!)))), 
90.80/13.68	                      ($C(($B(B, 
90.80/13.68	                           ($B(B, 
90.80/13.68	                            ($B(S, 
90.80/13.68	                             ($B(($B(=>)), ($C(($B(B, =)), some_trm)))))))))), 
90.80/13.68	                       ($C(($B(B, ($B(B, !=)))), ($B(($B(some_fml)), geq)))))))))))))))), 
90.80/13.68	              ($B(($S(($B(=>, 
90.80/13.68	                       ($B((=>((X1 = uSubst516392818stappt(sigma, ua, theta)))), 
90.80/13.68	                        ($C(!=, none_fml)))))))), 
90.80/13.68	               ($B(($B(~)), 
90.80/13.68	                ($B(($B((=>((??(($B((=(X1)), some_trm)))))))), 
90.80/13.68	                 ($C(($B(B, 
90.80/13.68	                      ($B(=>, 
90.80/13.68	                       ($C(=, uSubst516392818stappt(sigma, ua, theta))))))), 
90.80/13.68	                  ($C(!=, none_fml)))))))))))))))))),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['10'])).
90.80/13.68	tff('12', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	       (!!(($S(($B(=>, (=(uSubst152838031e_Geqo(X1, X2))))), 
90.80/13.68	            ($S(($B(=>, 
90.80/13.68	                 ($B(!!, 
90.80/13.68	                  ($B(($S(($B(=>, ($B((=(X1)), some_trm)))))), 
90.80/13.68	                   ($B(($B(!!)), 
90.80/13.68	                    ($B(($B(($S(($B(=>, ($B((=(X2)), some_trm)))))))), 
90.80/13.68	                     ($C(($B(B, ($B(B, !=)))), ($B(($B(some_fml)), geq)))))))))))))), 
90.80/13.68	             ($S(($B(=>, 
90.80/13.68	                  ($B((=>((X1 = uSubst516392818stappt(sigma, ua, theta)))), 
90.80/13.68	                   ($C(!=, none_fml)))))), 
90.80/13.68	              ($B(~, 
90.80/13.68	               ($B((=>((??(($B((=(X1)), some_trm)))))), 
90.80/13.68	                ($B((=>((X2 = uSubst516392818stappt(sigma, ua, theta)))), 
90.80/13.68	                 ($C(!=, none_fml)))))))))))))))),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['11'])).
90.80/13.68	tff('13', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm, X3 : option_fml]:
90.80/13.68	       ((uSubst152838031e_Geqo(X1, X2) = X3) =>
90.80/13.68	        ((!!(($S(($B(=>, ($B((=(X1)), some_trm)))), 
90.80/13.68	              ($B(!!, 
90.80/13.68	               ($B(($S(($B(=>, ($B((=(X2)), some_trm)))))), 
90.80/13.68	                ($B(($B((!=(X3)))), ($B(($B(some_fml)), geq)))))))))))) =>
90.80/13.68	         (((X1 = uSubst516392818stappt(sigma, ua, theta)) => (X3 != none_fml)) =>
90.80/13.68	          (~(((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	              ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	               (X3 != none_fml)))))))),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['12'])).
90.80/13.68	tff('14', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm, X3 : option_fml]:
90.80/13.68	      (uSubst152838031e_Geqo(X1, X2) != X3
90.80/13.68	       |  ((!!(($S(($B(=>, ($B((=(X1)), some_trm)))), 
90.80/13.68	                ($B(!!, 
90.80/13.68	                 ($B(($S(($B(=>, ($B((=(X2)), some_trm)))))), 
90.80/13.68	                  ($B(($B((!=(X3)))), ($B(($B(some_fml)), geq)))))))))))) =>
90.80/13.68	           (((X1 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	             (X3 != none_fml)) =>
90.80/13.68	            (~(((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	                ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	                 (X3 != none_fml)))))))),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['13'])).
90.80/13.68	tff('15', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	       ((!!(($S(($B(=>, ($B((=(X1)), some_trm)))), 
90.80/13.68	             ($B(!!, 
90.80/13.68	              ($B(($S(($B(=>, ($B((=(X2)), some_trm)))))), 
90.80/13.68	               ($B(($B((!=(uSubst152838031e_Geqo(X1, X2))))), 
90.80/13.68	                ($B(($B(some_fml)), geq)))))))))))) =>
90.80/13.68	        (((X1 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	          (uSubst152838031e_Geqo(X1, X2) != none_fml)) =>
90.80/13.68	         (~(((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	             ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	              (uSubst152838031e_Geqo(X1, X2) != none_fml))))))),
90.80/13.68	    inference('simplify', [status(thm)], ['14'])).
90.80/13.68	tff('16', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (~ (!!(($S(($B(=>, ($B((=(X1)), some_trm)))), 
90.80/13.68	              ($B(!!, 
90.80/13.68	               ($B(($S(($B(=>, ($B((=(X2)), some_trm)))))), 
90.80/13.68	                ($B(($B((!=(uSubst152838031e_Geqo(X1, X2))))), 
90.80/13.68	                 ($B(($B(some_fml)), geq))))))))))))
90.80/13.68	       |  (((X1 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	            (uSubst152838031e_Geqo(X1, X2) != none_fml)) =>
90.80/13.68	           (~(((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	               ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	                (uSubst152838031e_Geqo(X1, X2) != none_fml))))))),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['15'])).
90.80/13.68	tff('17', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (~ ((X1 = some_trm('#sk67'(X1, X2))) =>
90.80/13.68	          (!!(($S(($B(=>, ($B((=(X2)), some_trm)))), 
90.80/13.68	               ($B((!=(uSubst152838031e_Geqo(X1, X2))), 
90.80/13.68	                ($B(some_fml, geq('#sk67'(X1, X2)))))))))))
90.80/13.68	       |  (((X1 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	            (uSubst152838031e_Geqo(X1, X2) != none_fml)) =>
90.80/13.68	           (~(((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	               ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	                (uSubst152838031e_Geqo(X1, X2) != none_fml))))))),
90.80/13.68	    inference('lazy_cnf_exists', [status(thm)], ['16'])).
90.80/13.68	tff('18', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (X1 = some_trm('#sk67'(X1, X2))
90.80/13.68	       |  (((X1 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	            (uSubst152838031e_Geqo(X1, X2) != none_fml)) =>
90.80/13.68	           (~(((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	               ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	                (uSubst152838031e_Geqo(X1, X2) != none_fml))))))),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['17'])).
90.80/13.68	tff('19', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (~ ((X1 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	          (uSubst152838031e_Geqo(X1, X2) != none_fml))
90.80/13.68	       | ~ ((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	            ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	             (uSubst152838031e_Geqo(X1, X2) != none_fml)))
90.80/13.68	       | X1 = some_trm('#sk67'(X1, X2))),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['18'])).
90.80/13.68	tff('20', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (uSubst152838031e_Geqo(X1, X2) = none_fml
90.80/13.68	       | X1 = some_trm('#sk67'(X1, X2))
90.80/13.68	       | ~ ((??(($B((=(X1)), some_trm)))) =>
90.80/13.68	            ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	             (uSubst152838031e_Geqo(X1, X2) != none_fml)))),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['19'])).
90.80/13.68	tff('21', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (~ ((X2 = uSubst516392818stappt(sigma, ua, theta)) =>
90.80/13.68	          (uSubst152838031e_Geqo(X1, X2) != none_fml))
90.80/13.68	       | X1 = some_trm('#sk67'(X1, X2))
90.80/13.68	       | uSubst152838031e_Geqo(X1, X2) = none_fml),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['20'])).
90.80/13.68	tff('22', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (uSubst152838031e_Geqo(X1, X2) = none_fml
90.80/13.68	       | uSubst152838031e_Geqo(X1, X2) = none_fml
90.80/13.68	       | X1 = some_trm('#sk67'(X1, X2))),
90.80/13.68	    inference('lazy_cnf_imply', [status(thm)], ['21'])).
90.80/13.68	tff('23', plain,
90.80/13.68	    ![X1 : option_trm, X2 : option_trm]:
90.80/13.68	      (X1 = some_trm('#sk67'(X1, X2))
90.80/13.68	       | uSubst152838031e_Geqo(X1, X2) = none_fml),
90.80/13.68	    inference('simplify', [status(thm)], ['22'])).
90.80/13.68	tff(fact_133_option_Odistinct_I1_J, axiom,
90.80/13.68	  (![X23:trm]: (none_trm != some_trm(X23)))).
90.80/13.68	tff('24', plain,  (!!((^[Y0 : trm]: (none_trm != some_trm(Y0))))),
90.80/13.68	    inference('cnf', [status(esa)], [fact_133_option_Odistinct_I1_J])).
90.80/13.68	tff('25', plain,  (!!(($B((!=(none_trm)), some_trm)))),
90.80/13.68	    inference('lams2combs', [status(thm)], ['24'])).
90.80/13.68	tff('26', plain, uSubst516392818stappt(sigma, ua, theta) = none_trm,
90.80/13.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
90.80/13.68	tff('27', plain,
90.80/13.68	     (!!(($B((!=(uSubst516392818stappt(sigma, ua, theta))), some_trm)))),
90.80/13.68	    inference('demod', [status(thm)], ['25', '26'])).
90.80/13.68	tff('28', plain,
90.80/13.68	    ![X1 : trm]: uSubst516392818stappt(sigma, ua, theta) != some_trm(X1),
90.80/13.68	    inference('lazy_cnf_forall', [status(thm)], ['27'])).
90.80/13.68	tff('29', plain,
90.80/13.68	    ![X0 : option_trm, X1 : option_trm]:
90.80/13.68	      (uSubst516392818stappt(sigma, ua, theta) != X0
90.80/13.68	       | uSubst152838031e_Geqo(X0, X1) = none_fml),
90.80/13.68	    inference('sup-', [status(thm)], ['23', '28'])).
90.80/13.68	tff('30', plain,
90.80/13.68	    ![X1 : option_trm]:
90.80/13.68	      uSubst152838031e_Geqo(uSubst516392818stappt(sigma, ua, theta), X1)
90.80/13.68	       = none_fml,
90.80/13.68	    inference('simplify', [status(thm)], ['29'])).
90.80/13.68	tff('31', plain,
90.80/13.68	    ![X0 : trm]: uSubst516392804stappf(sigma, ua, geq(theta, X0)) = none_fml,
90.80/13.68	    inference('sup+', [status(thm)], ['5', '30'])).
90.80/13.68	tff(fact_2_Geq_Oprems_I1_J, axiom,
90.80/13.68	  (uSubst516392804stappf(sigma,ua,geq(theta,eta)) != none_fml)).
90.80/13.68	tff('32', plain,
90.80/13.68	    uSubst516392804stappf(sigma, ua, geq(theta, eta)) != none_fml,
90.80/13.68	    inference('cnf', [status(esa)], [fact_2_Geq_Oprems_I1_J])).
90.80/13.68	tff('33', plain,
90.80/13.68	    ![X0 : trm]:
90.80/13.68	      uSubst516392804stappf(sigma, ua, geq(theta, eta))
90.80/13.68	       != uSubst516392804stappf(sigma, ua, geq(theta, X0)),
90.80/13.68	    inference('sup-', [status(thm)], ['31', '32'])).
90.80/13.68	tff('34', plain, $false, inference('eq_res', [status(thm)], ['33'])).
90.80/13.68	
90.80/13.68	% SZS output end Refutation
90.80/13.68	
90.80/13.68	
90.80/13.68	% Terminating...
90.96/13.73	% Runner terminated.
90.96/13.75	% Zipperpin 1.5 exiting
90.96/13.76	EOF