0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.11	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.hDrwmtnfJD
0.11/0.32	% Computer   : n014.cluster.edu
0.11/0.32	% Model      : x86_64 x86_64
0.11/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory     : 8042.1875MB
0.11/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 960
0.11/0.32	% DateTime   : Thu Jul  2 09:06:25 EDT 2020
0.11/0.32	% CPUTime    : 
0.11/0.32	% Running portfolio for 120 s
0.11/0.32	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.11/0.32	% Number of cores: 8
0.17/0.32	% Python version: Python 3.6.8
0.17/0.32	% Running in HO mode
0.50/0.59	% Estimated wc time : 1286
0.50/0.59	% Estimated cpu time (7 cpus) : 183.71428571428572
0.71/0.68	% /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s
0.71/0.69	% /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.71/0.69	% /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s
0.71/0.69	% /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s
0.71/0.69	% /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s
0.71/0.70	% /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s
0.71/0.70	% /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s
60.67/10.54	% /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s
67.59/11.90	% Solved by lams/b.rpo.sh.
67.59/11.90	% Running : timeout 8 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.hDrwmtnfJD/e_input31f047 --cpu-limit=6 --auto -s -p.
67.59/11.90	% done 139 iterations in 11.177s
67.59/11.90	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
67.59/11.90	% SZS output start Refutation
67.59/11.90	tff(thm_2Eoption_2EOPTREL__def, axiom,
67.59/11.90	  (![A_27a:d,A_27b:d,V0R_2E0:u,V1x_2E0:u,V2y_2E0:u]:
67.59/11.90	     (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                   c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                             A_27a,
67.59/11.90	                                                             tyop_2Emin_2Efun(
67.59/11.90	                                                             A_27b,
67.59/11.90	                                                             tyop_2Emin_2Ebool)),
67.59/11.90	                                                             V0R_2E0),
67.59/11.90	                                                           s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                             A_27a),V1x_2E0),
67.59/11.90	                                                           s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                             A_27b),V2y_2E0)))) <=>
67.59/11.90	      (((s(tyop_2Eoption_2Eoption(A_27b),V2y_2E0) =
67.59/11.90	         s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)) & 
67.59/11.90	        (s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0) =
67.59/11.90	         s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0))) | 
67.59/11.90	       (?[V3x0_2E0:u,V4y0_2E0:u]:
67.59/11.90	          ((s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0) =
67.59/11.90	            s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	              c_2Eoption_2ESOME_2E1(s(A_27a,V3x0_2E0)))) & 
67.59/11.90	           j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                        app_2E2(s(tyop_2Emin_2Efun(A_27b,
67.59/11.90	                                                                   tyop_2Emin_2Ebool),
67.59/11.90	                                                  app_2E2(s(tyop_2Emin_2Efun(
67.59/11.90	                                                            A_27a,
67.59/11.90	                                                            tyop_2Emin_2Efun(
67.59/11.90	                                                            A_27b,
67.59/11.90	                                                            tyop_2Emin_2Ebool)),
67.59/11.90	                                                            V0R_2E0),
67.59/11.90	                                                          s(A_27a,V3x0_2E0))),
67.59/11.90	                                                s(A_27b,V4y0_2E0)))) & 
67.59/11.90	           (s(tyop_2Eoption_2Eoption(A_27b),V2y_2E0) =
67.59/11.90	            s(tyop_2Eoption_2Eoption(A_27b),
67.59/11.90	              c_2Eoption_2ESOME_2E1(s(A_27b,V4y0_2E0)))))))))).
67.59/11.90	tff(zf_stmt_0, axiom,
67.59/11.90	  (zip_tseitin_0(V2y_2E0,V1x_2E0,A_27b,A_27a) <=>
67.59/11.90	   ((s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0) =
67.59/11.90	     s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0)) & 
67.59/11.90	    (s(tyop_2Eoption_2Eoption(A_27b),V2y_2E0) =
67.59/11.90	     s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0))))).
67.59/11.90	tff('0', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d]:
67.59/11.90	      (s(tyop_2Eoption_2Eoption(X11), X12)
67.59/11.90	        = s(tyop_2Eoption_2Eoption(X11), c_2Eoption_2ENONE_2E0)
67.59/11.90	       | ~ zip_tseitin_0(X13, X12, X14, X11)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
67.59/11.90	tff('1', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d]:
67.59/11.90	      (s(tyop_2Eoption_2Eoption(X14), X13)
67.59/11.90	        = s(tyop_2Eoption_2Eoption(X14), c_2Eoption_2ENONE_2E0)
67.59/11.90	       | ~ zip_tseitin_0(X13, X12, X14, X11)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
67.59/11.90	tff(zf_stmt_1, type, zip_tseitin_1 : (u * u * u * u * u * d * d) > $o).
67.59/11.90	tff(zf_stmt_2, axiom,
67.59/11.90	  (zip_tseitin_1(V4y0_2E0,V3x0_2E0,V2y_2E0,V1x_2E0,V0R_2E0,A_27b,A_27a) <=>
67.59/11.90	   ((s(tyop_2Eoption_2Eoption(A_27b),V2y_2E0) =
67.59/11.90	     s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V4y0_2E0)))) & 
67.59/11.90	    j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                 app_2E2(s(tyop_2Emin_2Efun(A_27b,
67.59/11.90	                                                            tyop_2Emin_2Ebool),
67.59/11.90	                                           app_2E2(s(tyop_2Emin_2Efun(
67.59/11.90	                                                     A_27a,
67.59/11.90	                                                     tyop_2Emin_2Efun(
67.59/11.90	                                                     A_27b,tyop_2Emin_2Ebool)),
67.59/11.90	                                                     V0R_2E0),
67.59/11.90	                                                   s(A_27a,V3x0_2E0))),
67.59/11.90	                                         s(A_27b,V4y0_2E0)))) & 
67.59/11.90	    (s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0) =
67.59/11.90	     s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V3x0_2E0))))))).
67.59/11.90	tff(zf_stmt_3, type, zip_tseitin_0 : (u * u * d * d) > $o).
67.59/11.90	tff(zf_stmt_4, axiom,
67.59/11.90	  (![A_27a:d,A_27b:d,V0R_2E0:u,V1x_2E0:u,V2y_2E0:u]:
67.59/11.90	     (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                   c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                             A_27a,
67.59/11.90	                                                             tyop_2Emin_2Efun(
67.59/11.90	                                                             A_27b,
67.59/11.90	                                                             tyop_2Emin_2Ebool)),
67.59/11.90	                                                             V0R_2E0),
67.59/11.90	                                                           s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                             A_27a),V1x_2E0),
67.59/11.90	                                                           s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                             A_27b),V2y_2E0)))) <=>
67.59/11.90	      ((?[V3x0_2E0:u,V4y0_2E0:u]:
67.59/11.90	          zip_tseitin_1(V4y0_2E0,V3x0_2E0,V2y_2E0,V1x_2E0,V0R_2E0,A_27b,A_27a)) | 
67.59/11.90	       zip_tseitin_0(V2y_2E0,V1x_2E0,A_27b,A_27a))))).
67.59/11.90	tff('2', plain,
67.59/11.90	    ![X19 : u, X20 : d, X21 : d, X22 : u, X23 : u, X24 : u, X25 : u]:
67.59/11.90	      ( j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            c_2Eoption_2EOPTREL_2E3(
67.59/11.90	              s(
67.59/11.90	                tyop_2Emin_2Efun(X21, 
67.59/11.90	                  tyop_2Emin_2Efun(X20, tyop_2Emin_2Ebool)), X22), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(X21), X19), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(X20), X23))))
67.59/11.90	       | ~ zip_tseitin_1(X24, X25, X23, X19, X22, X20, X21)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
67.59/11.90	tff('3', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d, X15 : u, X16 : u, X17 : u]:
67.59/11.90	      ( zip_tseitin_1(X15, X16, X13, X12, X17, X14, X11)
67.59/11.90	       | s(tyop_2Eoption_2Eoption(X11), X12)
67.59/11.90	          != s(tyop_2Eoption_2Eoption(X11), 
67.59/11.90	               c_2Eoption_2ESOME_2E1(s(X11, X16)))
67.59/11.90	       | ~ j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	             s(tyop_2Emin_2Ebool, 
67.59/11.90	               app_2E2(
67.59/11.90	                 s(tyop_2Emin_2Efun(X14, tyop_2Emin_2Ebool), 
67.59/11.90	                   app_2E2(
67.59/11.90	                     s(
67.59/11.90	                       tyop_2Emin_2Efun(X11, 
67.59/11.90	                         tyop_2Emin_2Efun(X14, tyop_2Emin_2Ebool)), X17), 
67.59/11.90	                     s(X11, X16))), s(X14, X15))))
67.59/11.90	       | s(tyop_2Eoption_2Eoption(X14), X13)
67.59/11.90	          != s(tyop_2Eoption_2Eoption(X14), 
67.59/11.90	               c_2Eoption_2ESOME_2E1(s(X14, X15)))),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
67.59/11.90	tff(thm_2Equotient__option_2EOPTION__REL__def, conjecture,
67.59/11.90	  (![A_27a:d,V0y_2E0:u,V1x_2E0:u,V2R_2E0:u]:
67.59/11.90	     ((j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                    c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Ebool)),
67.59/11.90	                                                              V2R_2E0),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                              s(A_27a,V1x_2E0))),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                              s(A_27a,V0y_2E0)))))) <=>
67.59/11.90	       j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                    app_2E2(s(tyop_2Emin_2Efun(A_27a,
67.59/11.90	                                                               tyop_2Emin_2Ebool),
67.59/11.90	                                              app_2E2(s(tyop_2Emin_2Efun(
67.59/11.90	                                                        A_27a,
67.59/11.90	                                                        tyop_2Emin_2Efun(
67.59/11.90	                                                        A_27a,
67.59/11.90	                                                        tyop_2Emin_2Ebool)),
67.59/11.90	                                                        V2R_2E0),
67.59/11.90	                                                      s(A_27a,V1x_2E0))),
67.59/11.90	                                            s(A_27a,V0y_2E0))))) & 
67.59/11.90	      (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                    c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Ebool)),
67.59/11.90	                                                              V2R_2E0),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ENONE_2E0),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                              s(A_27a,V0y_2E0)))))) <=>
67.59/11.90	       mono_2Ec_2Ebool_2EF) & 
67.59/11.90	      (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                    c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Ebool)),
67.59/11.90	                                                              V2R_2E0),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                              s(A_27a,V1x_2E0))),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ENONE_2E0)))) <=>
67.59/11.90	       mono_2Ec_2Ebool_2EF) & 
67.59/11.90	      (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                    c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Efun(
67.59/11.90	                                                              A_27a,
67.59/11.90	                                                              tyop_2Emin_2Ebool)),
67.59/11.90	                                                              V2R_2E0),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ENONE_2E0),
67.59/11.90	                                                            s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a),
67.59/11.90	                                                              c_2Eoption_2ENONE_2E0)))) <=>
67.59/11.90	       mono_2Ec_2Ebool_2ET)))).
67.59/11.90	tff(zf_stmt_5, negated_conjecture,
67.59/11.90	  (~
67.59/11.90	    (![A_27a:d,V0y_2E0:u,V1x_2E0:u,V2R_2E0:u]:
67.59/11.90	       ((j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                      c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Ebool)),
67.59/11.90	                                                                V2R_2E0),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                                s(A_27a,
67.59/11.90	                                                                  V1x_2E0))),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                                s(A_27a,
67.59/11.90	                                                                  V0y_2E0)))))) <=>
67.59/11.90	         j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                      app_2E2(s(tyop_2Emin_2Efun(A_27a,
67.59/11.90	                                                                 tyop_2Emin_2Ebool),
67.59/11.90	                                                app_2E2(s(tyop_2Emin_2Efun(
67.59/11.90	                                                          A_27a,
67.59/11.90	                                                          tyop_2Emin_2Efun(
67.59/11.90	                                                          A_27a,
67.59/11.90	                                                          tyop_2Emin_2Ebool)),
67.59/11.90	                                                          V2R_2E0),
67.59/11.90	                                                        s(A_27a,V1x_2E0))),
67.59/11.90	                                              s(A_27a,V0y_2E0))))) & 
67.59/11.90	        (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                      c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Ebool)),
67.59/11.90	                                                                V2R_2E0),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ENONE_2E0),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                                s(A_27a,
67.59/11.90	                                                                  V0y_2E0)))))) <=>
67.59/11.90	         mono_2Ec_2Ebool_2EF) & 
67.59/11.90	        (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                      c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Ebool)),
67.59/11.90	                                                                V2R_2E0),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                                s(A_27a,
67.59/11.90	                                                                  V1x_2E0))),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ENONE_2E0)))) <=>
67.59/11.90	         mono_2Ec_2Ebool_2EF) & 
67.59/11.90	        (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                      c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Efun(
67.59/11.90	                                                                A_27a,
67.59/11.90	                                                                tyop_2Emin_2Ebool)),
67.59/11.90	                                                                V2R_2E0),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ENONE_2E0),
67.59/11.90	                                                              s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ENONE_2E0)))) <=>
67.59/11.90	         mono_2Ec_2Ebool_2ET))))).
67.59/11.90	tff('4', plain,
67.59/11.90	    (~ j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	         s(tyop_2Emin_2Ebool, 
67.59/11.90	           c_2Eoption_2EOPTREL_2E3(
67.59/11.90	             s(
67.59/11.90	               tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                 tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), sk_V2R_2E0), 
67.59/11.90	             s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	               c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V1x_2E0_1))), 
67.59/11.90	             s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	               c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V0y_2E0))))))
67.59/11.90	     | ~ j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	           s(tyop_2Emin_2Ebool, 
67.59/11.90	             app_2E2(
67.59/11.90	               s(tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool), 
67.59/11.90	                 app_2E2(
67.59/11.90	                   s(
67.59/11.90	                     tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                       tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), 
67.59/11.90	                     sk_V2R_2E0), s(sk_A_27a, sk_V1x_2E0_1))), 
67.59/11.90	               s(sk_A_27a, sk_V0y_2E0))))
67.59/11.90	     |  j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            c_2Eoption_2EOPTREL_2E3(
67.59/11.90	              s(
67.59/11.90	                tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                  tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), sk_V2R_2E0), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	                c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V0y_2E0))))))
67.59/11.90	     |  mono_2Ec_2Ebool_2EF
67.59/11.90	     |  j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            c_2Eoption_2EOPTREL_2E3(
67.59/11.90	              s(
67.59/11.90	                tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                  tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), sk_V2R_2E0), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	                c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V1x_2E0_1))), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0))))
67.59/11.90	     |  mono_2Ec_2Ebool_2EF
67.59/11.90	     | ~ mono_2Ec_2Ebool_2ET
67.59/11.90	     | ~ j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	           s(tyop_2Emin_2Ebool, 
67.59/11.90	             c_2Eoption_2EOPTREL_2E3(
67.59/11.90	               s(
67.59/11.90	                 tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                   tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), 
67.59/11.90	                 sk_V2R_2E0), 
67.59/11.90	               s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0), 
67.59/11.90	               s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0))))),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
67.59/11.90	tff('5', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d, X15 : u, X16 : u, X17 : u]:
67.59/11.90	      ( j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            app_2E2(
67.59/11.90	              s(tyop_2Emin_2Efun(X14, tyop_2Emin_2Ebool), 
67.59/11.90	                app_2E2(
67.59/11.90	                  s(
67.59/11.90	                    tyop_2Emin_2Efun(X11, 
67.59/11.90	                      tyop_2Emin_2Efun(X14, tyop_2Emin_2Ebool)), X17), 
67.59/11.90	                  s(X11, X16))), s(X14, X15))))
67.59/11.90	       | ~ zip_tseitin_1(X15, X16, X13, X12, X17, X14, X11)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
67.59/11.90	tff(thm_2Eoption_2Eoption__CLAUSES, axiom,
67.59/11.90	  (![A_27a:d,A_27b:d,V0f_2E0:u,V1e_2E0:u,V2e_2E0:u]:
67.59/11.90	     ((![V6x_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0) !=
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	            c_2Eoption_2ESOME_2E1(s(A_27a,V6x_2E0))))) & 
67.59/11.90	      (![V8x_2E0:u]:
67.59/11.90	         (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                       c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   c_2Eoption_2ESOME_2E1(
67.59/11.90	                                                                   s(
67.59/11.90	                                                                   A_27a,
67.59/11.90	                                                                   V8x_2E0)))))) <=>
67.59/11.90	          mono_2Ec_2Ebool_2ET)) & 
67.59/11.90	      (![V9x_2E0:u]:
67.59/11.90	         (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                       c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   V9x_2E0)))) <=>
67.59/11.90	          (s(tyop_2Eoption_2Eoption(A_27a),V9x_2E0) =
67.59/11.90	           s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0)))) & 
67.59/11.90	      (![V10x_2E0:u]:
67.59/11.90	         ((~
67.59/11.90	            j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                         c_2Eoption_2EIS__SOME_2E1(s(
67.59/11.90	                                                                   tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   V10x_2E0))))) <=>
67.59/11.90	          (s(tyop_2Eoption_2Eoption(A_27a),V10x_2E0) =
67.59/11.90	           s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0)))) & 
67.59/11.90	      (![V13x_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	            c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                            V13x_2E0),
67.59/11.90	                                          s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                            V13x_2E0),
67.59/11.90	                                          s(tyop_2Emin_2Efun(A_27a,
67.59/11.90	                                                             tyop_2Eoption_2Eoption(
67.59/11.90	                                                             A_27a)),
67.59/11.90	                                            c_2Eoption_2ESOME_2E0))) =
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27a),V13x_2E0))) & 
67.59/11.90	      (![V14x_2E0:u]:
67.59/11.90	         (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                       c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   V14x_2E0)))) =>
67.59/11.90	          (s(A_27b,
67.59/11.90	             c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                             V14x_2E0),
67.59/11.90	                                           s(A_27b,V2e_2E0),
67.59/11.90	                                           s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                             V0f_2E0))) =
67.59/11.90	           s(A_27b,V2e_2E0)))) & 
67.59/11.90	      (![V17v_2E0:u,V18f_2E0:u]:
67.59/11.90	         (s(A_27b,
67.59/11.90	            c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                            c_2Eoption_2ENONE_2E0),
67.59/11.90	                                          s(A_27b,V17v_2E0),
67.59/11.90	                                          s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                            V18f_2E0))) =
67.59/11.90	          s(A_27b,V17v_2E0))) & 
67.59/11.90	      (![V24f_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27b),
67.59/11.90	            c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                           V24f_2E0),
67.59/11.90	                                         s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                           c_2Eoption_2ENONE_2E0))) =
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0))) & 
67.59/11.90	      (![V25x_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	            c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a)),
67.59/11.90	                                            c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                    A_27a),
67.59/11.90	                                                                    V25x_2E0))))) =
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27a),V25x_2E0))) & 
67.59/11.90	      (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	         c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a)),
67.59/11.90	                                         c_2Eoption_2ENONE_2E0))) =
67.59/11.90	       s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0)) & 
67.59/11.90	      (![V22f_2E0:u,V23x_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27b),
67.59/11.90	            c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                           V22f_2E0),
67.59/11.90	                                         s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                           c_2Eoption_2ESOME_2E1(s(A_27a,
67.59/11.90	                                                                   V23x_2E0))))) =
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27b),
67.59/11.90	            c_2Eoption_2ESOME_2E1(s(A_27b,
67.59/11.90	                                    app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                              V22f_2E0),
67.59/11.90	                                            s(A_27a,V23x_2E0))))))) & 
67.59/11.90	      (![V19x_2E0:u,V20v_2E0:u,V21f_2E0:u]:
67.59/11.90	         (s(A_27b,
67.59/11.90	            c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                            c_2Eoption_2ESOME_2E1(s(A_27a,
67.59/11.90	                                                                    V19x_2E0))),
67.59/11.90	                                          s(A_27b,V20v_2E0),
67.59/11.90	                                          s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                            V21f_2E0))) =
67.59/11.90	          s(A_27b,
67.59/11.90	            app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V21f_2E0),
67.59/11.90	                    s(A_27a,V19x_2E0))))) & 
67.59/11.90	      (![V16x_2E0:u]:
67.59/11.90	         (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                       c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   V16x_2E0)))) =>
67.59/11.90	          (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	             c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                             V16x_2E0),
67.59/11.90	                                           s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                             V1e_2E0),
67.59/11.90	                                           s(tyop_2Emin_2Efun(A_27a,
67.59/11.90	                                                              tyop_2Eoption_2Eoption(
67.59/11.90	                                                              A_27a)),
67.59/11.90	                                             c_2Eoption_2ESOME_2E0))) =
67.59/11.90	           s(tyop_2Eoption_2Eoption(A_27a),V16x_2E0)))) & 
67.59/11.90	      (![V15x_2E0:u]:
67.59/11.90	         (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                       c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   V15x_2E0)))) =>
67.59/11.90	          (s(A_27b,
67.59/11.90	             c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                             V15x_2E0),
67.59/11.90	                                           s(A_27b,V2e_2E0),
67.59/11.90	                                           s(tyop_2Emin_2Efun(A_27a,A_27b),
67.59/11.90	                                             V0f_2E0))) =
67.59/11.90	           s(A_27b,
67.59/11.90	             app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),
67.59/11.90	                     s(A_27a,
67.59/11.90	                       c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                              V15x_2E0)))))))) & 
67.59/11.90	      (![V12x_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	            c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                            V12x_2E0),
67.59/11.90	                                          s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                            c_2Eoption_2ENONE_2E0),
67.59/11.90	                                          s(tyop_2Emin_2Efun(A_27a,
67.59/11.90	                                                             tyop_2Eoption_2Eoption(
67.59/11.90	                                                             A_27a)),
67.59/11.90	                                            c_2Eoption_2ESOME_2E0))) =
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27a),V12x_2E0))) & 
67.59/11.90	      (![V11x_2E0:u]:
67.59/11.90	         (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                       c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                   A_27a),
67.59/11.90	                                                                   V11x_2E0)))) =>
67.59/11.90	          (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	             c_2Eoption_2ESOME_2E1(s(A_27a,
67.59/11.90	                                     c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                            A_27a),V11x_2E0))))) =
67.59/11.90	           s(tyop_2Eoption_2Eoption(A_27a),V11x_2E0)))) & 
67.59/11.90	      (j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,
67.59/11.90	                                    c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(
67.59/11.90	                                                                A_27a),
67.59/11.90	                                                                c_2Eoption_2ENONE_2E0)))) <=>
67.59/11.90	       mono_2Ec_2Ebool_2EF) & 
67.59/11.90	      (![V7x_2E0:u]:
67.59/11.90	         (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	            c_2Eoption_2ESOME_2E1(s(A_27a,V7x_2E0))) !=
67.59/11.90	          s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0))) & 
67.59/11.90	      (![V5x_2E0:u]:
67.59/11.90	         (s(A_27a,
67.59/11.90	            c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	                                   c_2Eoption_2ESOME_2E1(s(A_27a,V5x_2E0))))) =
67.59/11.90	          s(A_27a,V5x_2E0))) & 
67.59/11.90	      (![V3x_2E0:u,V4y_2E0:u]:
67.59/11.90	         ((s(A_27a,V3x_2E0) = s(A_27a,V4y_2E0)) <=>
67.59/11.90	          (s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	             c_2Eoption_2ESOME_2E1(s(A_27a,V3x_2E0))) =
67.59/11.90	           s(tyop_2Eoption_2Eoption(A_27a),
67.59/11.90	             c_2Eoption_2ESOME_2E1(s(A_27a,V4y_2E0))))))))).
67.59/11.90	tff('6', plain,
67.59/11.90	    ![X27 : d, X58 : u]:
67.59/11.90	      s(tyop_2Eoption_2Eoption(X27), c_2Eoption_2ENONE_2E0)
67.59/11.90	       != s(tyop_2Eoption_2Eoption(X27), c_2Eoption_2ESOME_2E1(s(X27, X58))),
67.59/11.90	    inference('cnf', [status(esa)], [thm_2Eoption_2Eoption__CLAUSES])).
67.59/11.90	tff('7', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d, X15 : u, X16 : u, X17 : u]:
67.59/11.90	      (s(tyop_2Eoption_2Eoption(X14), X13)
67.59/11.90	        = s(tyop_2Eoption_2Eoption(X14), c_2Eoption_2ESOME_2E1(s(X14, X15)))
67.59/11.90	       | ~ zip_tseitin_1(X15, X16, X13, X12, X17, X14, X11)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
67.59/11.90	tff('8', plain,
67.59/11.90	    ![X27 : d, X36 : u]:
67.59/11.90	      s(X27, 
67.59/11.90	        c_2Eoption_2ETHE_2E1(
67.59/11.90	          s(tyop_2Eoption_2Eoption(X27), c_2Eoption_2ESOME_2E1(s(X27, X36)))))
67.59/11.90	       = s(X27, X36),
67.59/11.90	    inference('cnf', [status(esa)], [thm_2Eoption_2Eoption__CLAUSES])).
67.59/11.90	tff('9', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d, X15 : u, X16 : u, X17 : u]:
67.59/11.90	      (s(tyop_2Eoption_2Eoption(X11), X12)
67.59/11.90	        = s(tyop_2Eoption_2Eoption(X11), c_2Eoption_2ESOME_2E1(s(X11, X16)))
67.59/11.90	       | ~ zip_tseitin_1(X15, X16, X13, X12, X17, X14, X11)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
67.59/11.90	tff('10', plain,
67.59/11.90	    ![X18 : u, X19 : u, X20 : d, X21 : d, X22 : u]:
67.59/11.90	      ( zip_tseitin_0(X18, X19, X20, X21)
67.59/11.90	       |  zip_tseitin_1(sk_V4y0_2E0(X18, X19, X22, X20, X21), 
67.59/11.90	            sk_V3x0_2E0(X18, X19, X22, X20, X21), X18, X19, X22, X20, X21)
67.59/11.90	       | ~ j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	             s(tyop_2Emin_2Ebool, 
67.59/11.90	               c_2Eoption_2EOPTREL_2E3(
67.59/11.90	                 s(
67.59/11.90	                   tyop_2Emin_2Efun(X21, 
67.59/11.90	                     tyop_2Emin_2Efun(X20, tyop_2Emin_2Ebool)), X22), 
67.59/11.90	                 s(tyop_2Eoption_2Eoption(X21), X19), 
67.59/11.90	                 s(tyop_2Eoption_2Eoption(X20), X18))))),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
67.59/11.90	tff('11', plain,
67.59/11.90	    ![X11 : d, X12 : u, X13 : u, X14 : d]:
67.59/11.90	      ( zip_tseitin_0(X13, X12, X14, X11)
67.59/11.90	       | s(tyop_2Eoption_2Eoption(X14), X13)
67.59/11.90	          != s(tyop_2Eoption_2Eoption(X14), c_2Eoption_2ENONE_2E0)
67.59/11.90	       | s(tyop_2Eoption_2Eoption(X11), X12)
67.59/11.90	          != s(tyop_2Eoption_2Eoption(X11), c_2Eoption_2ENONE_2E0)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
67.59/11.90	tff('12', plain,
67.59/11.90	    ![X19 : u, X20 : d, X21 : d, X22 : u, X23 : u]:
67.59/11.90	      ( j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            c_2Eoption_2EOPTREL_2E3(
67.59/11.90	              s(
67.59/11.90	                tyop_2Emin_2Efun(X21, 
67.59/11.90	                  tyop_2Emin_2Efun(X20, tyop_2Emin_2Ebool)), X22), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(X21), X19), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(X20), X23))))
67.59/11.90	       | ~ zip_tseitin_0(X23, X19, X20, X21)),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
67.59/11.90	tff(thm_2Ebool_2ETRUTH, axiom, (mono_2Ec_2Ebool_2ET)).
67.59/11.90	tff('13', plain,  mono_2Ec_2Ebool_2ET,
67.59/11.90	    inference('cnf', [status(esa)], [thm_2Ebool_2ETRUTH])).
67.59/11.90	tff(thm_2Ebool_2ENOT__CLAUSES, axiom,
67.59/11.90	  (((~mono_2Ec_2Ebool_2EF) <=> mono_2Ec_2Ebool_2ET) & 
67.59/11.90	   ((~mono_2Ec_2Ebool_2ET) <=> mono_2Ec_2Ebool_2EF) & 
67.59/11.90	   (![V0t:$o]: (V0t <=> V0t)))).
67.59/11.90	tff('14', plain, (~ mono_2Ec_2Ebool_2ET | ~ mono_2Ec_2Ebool_2EF),
67.59/11.90	    inference('cnf', [status(esa)], [thm_2Ebool_2ENOT__CLAUSES])).
67.59/11.90	tff('15', plain,  mono_2Ec_2Ebool_2ET,
67.59/11.90	    inference('cnf', [status(esa)], [thm_2Ebool_2ETRUTH])).
67.59/11.90	tff('16', plain, ~ mono_2Ec_2Ebool_2EF,
67.59/11.90	    inference('demod', [status(thm)], ['14', '15'])).
67.59/11.90	tff('17', plain,
67.59/11.90	    ( j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	        s(tyop_2Emin_2Ebool, 
67.59/11.90	          c_2Eoption_2EOPTREL_2E3(
67.59/11.90	            s(
67.59/11.90	              tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), sk_V2R_2E0), 
67.59/11.90	            s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	              c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V1x_2E0_1))), 
67.59/11.90	            s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	              c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V0y_2E0))))))
67.59/11.90	     |  j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            app_2E2(
67.59/11.90	              s(tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool), 
67.59/11.90	                app_2E2(
67.59/11.90	                  s(
67.59/11.90	                    tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                      tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), 
67.59/11.90	                    sk_V2R_2E0), s(sk_A_27a, sk_V1x_2E0_1))), 
67.59/11.90	              s(sk_A_27a, sk_V0y_2E0))))
67.59/11.90	     |  j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            c_2Eoption_2EOPTREL_2E3(
67.59/11.90	              s(
67.59/11.90	                tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                  tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), sk_V2R_2E0), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	                c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V0y_2E0))))))
67.59/11.90	     |  mono_2Ec_2Ebool_2EF
67.59/11.90	     |  j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	          s(tyop_2Emin_2Ebool, 
67.59/11.90	            c_2Eoption_2EOPTREL_2E3(
67.59/11.90	              s(
67.59/11.90	                tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                  tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), sk_V2R_2E0), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), 
67.59/11.90	                c_2Eoption_2ESOME_2E1(s(sk_A_27a, sk_V1x_2E0_1))), 
67.59/11.90	              s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0))))
67.59/11.90	     |  mono_2Ec_2Ebool_2EF
67.59/11.90	     | ~ mono_2Ec_2Ebool_2ET
67.59/11.90	     | ~ j_mono_2Etyop_2Emin_2Ebool(
67.59/11.90	           s(tyop_2Emin_2Ebool, 
67.59/11.90	             c_2Eoption_2EOPTREL_2E3(
67.59/11.90	               s(
67.59/11.90	                 tyop_2Emin_2Efun(sk_A_27a, 
67.59/11.90	                   tyop_2Emin_2Efun(sk_A_27a, tyop_2Emin_2Ebool)), 
67.59/11.90	                 sk_V2R_2E0), 
67.59/11.90	               s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0), 
67.59/11.90	               s(tyop_2Eoption_2Eoption(sk_A_27a), c_2Eoption_2ENONE_2E0))))),
67.59/11.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
67.59/11.90	tff('18', plain, $false,
67.59/11.90	    inference('eprover', [status(thm)],
67.59/11.90	              ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 
67.59/11.90	               '12', '13', '16', '17'])).
67.59/11.90	
67.59/11.90	% SZS output end Refutation
67.59/11.90	
67.59/11.90	
67.59/11.90	% Terminating...
67.59/11.96	% Runner terminated.
67.59/11.98	% Zipperpin 1.5 exiting
67.59/11.99	EOF
