0.11/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.xcir8aHEul
0.14/0.35	% Computer   : n017.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 180
0.14/0.35	% DateTime   : Thu Aug 29 12:04:19 EDT 2019
0.14/0.36	% CPUTime    : 
20.30/20.51	% Running portfolio for 180 s
20.30/20.51	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
20.30/20.51	% TempDir      : /export/starexec/sandbox/tmp/tmp.xcir8aHEul
20.30/20.51	% Recognized as monomorphic HO.
20.30/20.51	% Running /export/starexec/sandbox/solver/bin/competitive.sh for 18
20.30/20.51	% Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 14
20.30/20.51	% Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 4
20.30/20.51	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 31
20.30/20.51	% Solved by: pragmatic.rudimentary.sh
20.30/20.51	% done 790 iterations in 0.376s
20.30/20.51	% hashcons stats for terms: size 4096, num 1781, sum length 12764, buckets: small 3, median 3, big 13
20.30/20.51	% proof state stats: {active 551, passive 1962, simpl 0}
20.30/20.51	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
20.30/20.51	% SZS output start Refutation
20.30/20.51	tff(o, axiom, o() = ^[X:reg,Y:reg]: (?[Z:reg]: (p(Z,Y) & p(Z,X)))).
20.30/20.51	tff('0', plain,
20.30/20.51	    o = (^[V_1:reg,V_2:reg]: (?[X2:reg]: (p(X2,V_2) & p(X2,V_1)))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(p, axiom, p() = ^[X:reg,Y:reg]: (![Z:reg]: (c(Z,X) => c(Z,Y)))).
20.30/20.51	tff('1', plain,
20.30/20.51	    p = (^[V_1:reg,V_2:reg]: (![X2:reg]: (c(X2,V_1) => c(X2,V_2)))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(mvalid, axiom, mvalid() = ^[Phi:($i > $o)]: (![W]: Phi(W))).
20.30/20.51	tff('2', plain, mvalid = (^[V_1:($i > $o)]: (![X2]: V_1(X2))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(mbox, axiom, mbox() =
20.30/20.51	  ^[R:(($i * $i) > $o),Phi:($i > $o),W]: (![V]: (Phi(V) | (~R(W,V))))).
20.30/20.51	tff('3', plain,
20.30/20.51	    mbox =
20.30/20.51	    (^[V_1:(($i * $i) > $o),V_2:($i > $o),V_3]:
20.30/20.51	       (![X2]: (V_2(X2) | (~V_1(V_3,X2))))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(con, conjecture,
20.30/20.51	  (mvalid(mbox(a,
20.30/20.51	               ^[X]:
20.30/20.51	                 (![Z:reg]:
20.30/20.51	                    ((o(Z,catalunya) | o(Z,paris)) =>
20.30/20.51	                     (o(Z,france) | o(Z,spain)))))))).
20.30/20.51	tff(zf_stmt_0, conjecture,
20.30/20.51	  (![X2,X3]:
20.30/20.51	     ((![X4:reg]:
20.30/20.51	         (((?[X5:reg]:
20.30/20.51	              ((![X6:reg]: (c(X6,X5) => c(X6,catalunya))) & 
20.30/20.51	               (![X7:reg]: (c(X7,X5) => c(X7,X4))))) | 
20.30/20.51	           (?[X8:reg]:
20.30/20.51	              ((![X9:reg]: (c(X9,X8) => c(X9,paris))) & 
20.30/20.51	               (![X10:reg]: (c(X10,X8) => c(X10,X4)))))) =>
20.30/20.51	          ((?[X11:reg]:
20.30/20.51	              ((![X12:reg]: (c(X12,X11) => c(X12,france))) & 
20.30/20.51	               (![X13:reg]: (c(X13,X11) => c(X13,X4))))) | 
20.30/20.51	           (?[X14:reg]:
20.30/20.51	              ((![X15:reg]: (c(X15,X14) => c(X15,spain))) & 
20.30/20.51	               (![X16:reg]: (c(X16,X14) => c(X16,X4)))))))) | 
20.30/20.51	      (~a(X2,X3))))).
20.30/20.51	tff(zf_stmt_1, negated_conjecture,
20.30/20.51	  (~
20.30/20.51	    (![X2,X3]:
20.30/20.51	       ((![X4:reg]:
20.30/20.51	           (((?[X5:reg]:
20.30/20.51	                ((![X6:reg]: (c(X6,X5) => c(X6,catalunya))) & 
20.30/20.51	                 (![X7:reg]: (c(X7,X5) => c(X7,X4))))) | 
20.30/20.51	             (?[X8:reg]:
20.30/20.51	                ((![X9:reg]: (c(X9,X8) => c(X9,paris))) & 
20.30/20.51	                 (![X10:reg]: (c(X10,X8) => c(X10,X4)))))) =>
20.30/20.51	            ((?[X11:reg]:
20.30/20.51	                ((![X12:reg]: (c(X12,X11) => c(X12,france))) & 
20.30/20.51	                 (![X13:reg]: (c(X13,X11) => c(X13,X4))))) | 
20.30/20.51	             (?[X14:reg]:
20.30/20.51	                ((![X15:reg]: (c(X15,X14) => c(X15,spain))) & 
20.30/20.51	                 (![X16:reg]: (c(X16,X14) => c(X16,X4)))))))) | 
20.30/20.51	        (~a(X2,X3)))))).
20.30/20.51	tff('4', plain,
20.30/20.51	    ![X121 : reg]: (c(sk_X15_(X121), X121) | c(sk_X16_(X121), X121)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('5', plain,
20.30/20.51	    ![X123 : reg, X124 : reg]:
20.30/20.51	      (~ c(X123, sk_X5_)
20.30/20.51	       | c(X123, catalunya)
20.30/20.51	       | c(X124, paris)
20.30/20.51	       | ~ c(X124, sk_X8_)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('6', plain,
20.30/20.51	    (![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya)))
20.30/20.51	      <= ((![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya)))),
20.30/20.51	    inference('split', [status(esa)], ['5'])).
20.30/20.51	tff('7', plain,
20.30/20.51	    ((c(sk_X16_(sk_X5_), sk_X5_) | c(sk_X15_(sk_X5_), catalunya)))
20.30/20.51	      <= ((![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya)))),
20.30/20.51	    inference('sup-', [status(thm)], ['4', '6'])).
20.30/20.51	tff('8', plain,
20.30/20.51	    (c(sk_X15_(sk_X5_), catalunya)) | (c(sk_X16_(sk_X5_), sk_X5_)) | 
20.30/20.51	    ~ (![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))),
20.30/20.51	    inference('split', [status(esa)], ['7'])).
20.30/20.51	tff('9', plain,
20.30/20.51	    (![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))) | 
20.30/20.51	    (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))),
20.30/20.51	    inference('split', [status(esa)], ['5'])).
20.30/20.51	tff('10', plain,
20.30/20.51	    ![X122 : reg]: (c(sk_X12_(X122), X122) | c(sk_X13_(X122), X122)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('11', plain,
20.30/20.51	    (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_)))
20.30/20.51	      <= ((![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_)))),
20.30/20.51	    inference('split', [status(esa)], ['5'])).
20.30/20.51	tff('12', plain,
20.30/20.51	    ((c(sk_X13_(sk_X8_), sk_X8_) | c(sk_X12_(sk_X8_), paris)))
20.30/20.51	      <= ((![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_)))),
20.30/20.51	    inference('sup-', [status(thm)], ['10', '11'])).
20.30/20.51	tff('13', plain,
20.30/20.51	    (c(sk_X13_(sk_X8_), sk_X8_)) | 
20.30/20.51	    ~ (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))) | 
20.30/20.51	    (c(sk_X12_(sk_X8_), paris)), inference('split', [status(esa)], ['12'])).
20.30/20.51	tff('14', plain,
20.30/20.51	    (c(sk_X12_(sk_X8_), paris)) <= ((c(sk_X12_(sk_X8_), paris))),
20.30/20.51	    inference('split', [status(esa)], ['12'])).
20.30/20.51	tff(ntpp, axiom, ntpp() =
20.30/20.51	  ^[X:reg,Y:reg]: ((~(?[Z:reg]: (ec(Z,Y) & ec(Z,X)))) & pp(X,Y))).
20.30/20.51	tff('15', plain,
20.30/20.51	    ntpp =
20.30/20.51	    (^[V_1:reg,V_2:reg]:
20.30/20.51	       ((~(?[X2:reg]: (ec(X2,V_2) & ec(X2,V_1)))) & pp(V_1,V_2))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(pp, axiom, pp() = ^[X:reg,Y:reg]: ((~p(Y,X)) & p(X,Y))).
20.30/20.51	tff('16', plain, pp = (^[V_1:reg,V_2:reg]: ((~p(V_2,V_1)) & p(V_1,V_2))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(ec, axiom, ec() = ^[X:reg,Y:reg]: ((~o(X,Y)) & c(X,Y))).
20.30/20.51	tff('17', plain, ec = (^[V_1:reg,V_2:reg]: ((~o(V_1,V_2)) & c(V_1,V_2))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(ax3, axiom, (mvalid(mbox(a,^[X]: ntpp(paris,france))))).
20.30/20.51	tff(zf_stmt_2, axiom,
20.30/20.51	  (![X2,X3]:
20.30/20.51	     ((~a(X2,X3)) | 
20.30/20.51	      ((~(![X11:reg]: (c(X11,france) => c(X11,paris)))) & 
20.30/20.51	       (![X12:reg]: (c(X12,paris) => c(X12,france))) & 
20.30/20.51	       (~
20.30/20.51	         (?[X4:reg]:
20.30/20.51	            ((~
20.30/20.51	               (?[X8:reg]:
20.30/20.51	                  ((![X10:reg]: (c(X10,X8) => c(X10,X4))) & 
20.30/20.51	                   (![X9:reg]: (c(X9,X8) => c(X9,paris)))))) & 
20.30/20.51	             c(X4,paris) & 
20.30/20.51	             (~
20.30/20.51	               (?[X5:reg]:
20.30/20.51	                  ((![X7:reg]: (c(X7,X5) => c(X7,X4))) & 
20.30/20.51	                   (![X6:reg]: (c(X6,X5) => c(X6,france)))))) & 
20.30/20.51	             c(X4,france)))))))).
20.30/20.51	tff(zf_stmt_3, type, zip_tseitin1 : (reg * reg) > $o).
20.30/20.51	tff(zf_stmt_4, axiom,
20.30/20.51	  (zip_tseitin1(X5,X4) =>
20.30/20.51	   ((![X6:reg]: (c(X6,X5) => c(X6,france))) & 
20.30/20.51	    (![X7:reg]: (c(X7,X5) => c(X7,X4)))))).
20.30/20.51	tff(zf_stmt_5, type, zip_tseitin0 : (reg * reg) > $o).
20.30/20.51	tff(zf_stmt_6, axiom,
20.30/20.51	  (zip_tseitin0(X8,X4) =>
20.30/20.51	   ((![X9:reg]: (c(X9,X8) => c(X9,paris))) & 
20.30/20.51	    (![X10:reg]: (c(X10,X8) => c(X10,X4)))))).
20.30/20.51	tff(zf_stmt_7, axiom,
20.30/20.51	  (![X2,X3]:
20.30/20.51	     (((~
20.30/20.51	         (?[X4:reg]:
20.30/20.51	            (c(X4,france) & (~(?[X5:reg]: zip_tseitin1(X5,X4))) & 
20.30/20.51	             c(X4,paris) & (~(?[X8:reg]: zip_tseitin0(X8,X4)))))) & 
20.30/20.51	       (![X12:reg]: (c(X12,paris) => c(X12,france))) & 
20.30/20.51	       (~(![X11:reg]: (c(X11,france) => c(X11,paris))))) | 
20.30/20.51	      (~a(X2,X3))))).
20.30/20.51	tff('18', plain,
20.30/20.51	    ![X135, X136, X137 : reg]:
20.30/20.51	      (~ c(X137, paris) | c(X137, france) | ~ a(X135, X136)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_7])).
20.30/20.51	tff('19', plain,
20.30/20.51	    (![X137 : reg]: (~ c(X137, paris) | c(X137, france)))
20.30/20.51	      <= ((![X137 : reg]: (~ c(X137, paris) | c(X137, france)))),
20.30/20.51	    inference('split', [status(esa)], ['18'])).
20.30/20.51	tff('20', plain,
20.30/20.51	    (![X137 : reg]: (~ c(X137, paris) | c(X137, france))) | 
20.30/20.51	    (![X135, X136]: ~ a(X135, X136)),
20.30/20.51	    inference('split', [status(esa)], ['18'])).
20.30/20.51	tff('21', plain, a(sk_X2_, sk_X3_),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('22', plain, ![X135, X136]: (~ c(sk_X11_, paris) | ~ a(X135, X136)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_7])).
20.30/20.51	tff('23', plain,
20.30/20.51	    (![X135, X136]: ~ a(X135, X136)) <= ((![X135, X136]: ~ a(X135, X136))),
20.30/20.51	    inference('split', [status(esa)], ['22'])).
20.30/20.51	tff('24', plain, ~ (![X135, X136]: ~ a(X135, X136)),
20.30/20.51	    inference('sup-', [status(thm)], ['21', '23'])).
20.30/20.51	tff('25', plain, (![X137 : reg]: (~ c(X137, paris) | c(X137, france))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['20', '24'])).
20.30/20.51	tff('26', plain, ![X137 : reg]: (~ c(X137, paris) | c(X137, france)),
20.30/20.51	    inference('simpl_trail', [status(thm)], ['19', '25'])).
20.30/20.51	tff('27', plain,
20.30/20.51	    (c(sk_X12_(sk_X8_), france)) <= ((c(sk_X12_(sk_X8_), paris))),
20.30/20.51	    inference('sup-', [status(thm)], ['14', '26'])).
20.30/20.51	tff('28', plain,
20.30/20.51	    ![X122 : reg]: (~ c(sk_X12_(X122), france) | c(sk_X13_(X122), X122)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('29', plain,
20.30/20.51	    (c(sk_X13_(sk_X8_), sk_X8_)) <= ((c(sk_X12_(sk_X8_), paris))),
20.30/20.51	    inference('sup-', [status(thm)], ['27', '28'])).
20.30/20.51	tff('30', plain,
20.30/20.51	    ![X123 : reg, X125 : reg]:
20.30/20.51	      (~ c(X123, sk_X5_)
20.30/20.51	       | c(X123, catalunya)
20.30/20.51	       | c(X125, sk_X4_1)
20.30/20.51	       | ~ c(X125, sk_X8_)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('31', plain,
20.30/20.51	    (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_)))
20.30/20.51	      <= ((![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_)))),
20.30/20.51	    inference('split', [status(esa)], ['30'])).
20.30/20.51	tff('32', plain,
20.30/20.51	    (c(sk_X13_(sk_X8_), sk_X4_1))
20.30/20.51	      <= ((![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))) & 
20.30/20.51	          (c(sk_X12_(sk_X8_), paris))),
20.30/20.51	    inference('sup-', [status(thm)], ['29', '31'])).
20.30/20.51	tff('33', plain,
20.30/20.51	    ![X122 : reg]: (~ c(sk_X12_(X122), france) | ~ c(sk_X13_(X122), sk_X4_1)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('34', plain,
20.30/20.51	    (~ c(sk_X13_(sk_X8_), sk_X4_1)) <= ((c(sk_X12_(sk_X8_), paris))),
20.30/20.51	    inference('sup-', [status(thm)], ['27', '33'])).
20.30/20.51	tff('35', plain,
20.30/20.51	    ~ (c(sk_X12_(sk_X8_), paris)) | 
20.30/20.51	    ~ (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['32', '34'])).
20.30/20.51	tff('36', plain,
20.30/20.51	    (c(sk_X13_(sk_X8_), sk_X8_)) <= ((c(sk_X13_(sk_X8_), sk_X8_))),
20.30/20.51	    inference('split', [status(esa)], ['12'])).
20.30/20.51	tff('37', plain,
20.30/20.51	    (c(sk_X13_(sk_X8_), sk_X4_1))
20.30/20.51	      <= ((![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))) & 
20.30/20.51	          (c(sk_X13_(sk_X8_), sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['36', '31'])).
20.30/20.51	tff('38', plain,
20.30/20.51	    ![X122 : reg]: (c(sk_X12_(X122), X122) | ~ c(sk_X13_(X122), sk_X4_1)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('39', plain,
20.30/20.51	    (c(sk_X12_(sk_X8_), sk_X8_))
20.30/20.51	      <= ((![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))) & 
20.30/20.51	          (c(sk_X13_(sk_X8_), sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['37', '38'])).
20.30/20.51	tff('40', plain,
20.30/20.51	    (c(sk_X12_(sk_X8_), paris))
20.30/20.51	      <= ((![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))) & 
20.30/20.51	          (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))) & 
20.30/20.51	          (c(sk_X13_(sk_X8_), sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['39', '11'])).
20.30/20.51	tff('41', plain,
20.30/20.51	    (c(sk_X12_(sk_X8_), france))
20.30/20.51	      <= ((![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))) & 
20.30/20.51	          (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))) & 
20.30/20.51	          (c(sk_X13_(sk_X8_), sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['40', '26'])).
20.30/20.51	tff('42', plain,
20.30/20.51	    (~ c(sk_X13_(sk_X8_), sk_X4_1))
20.30/20.51	      <= ((![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))) & 
20.30/20.51	          (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))) & 
20.30/20.51	          (c(sk_X13_(sk_X8_), sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['41', '33'])).
20.30/20.51	tff('43', plain,
20.30/20.51	    ~ (c(sk_X13_(sk_X8_), sk_X8_)) | 
20.30/20.51	    ~ (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))) | 
20.30/20.51	    ~ (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))),
20.30/20.51	    inference('sup-', [status(thm)], ['37', '42'])).
20.30/20.51	tff('44', plain,
20.30/20.51	    ~ (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))) | 
20.30/20.51	    ~ (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['13', '35', '43'])).
20.30/20.51	tff('45', plain,
20.30/20.51	    (c(sk_X15_(sk_X5_), catalunya)) <= ((c(sk_X15_(sk_X5_), catalunya))),
20.30/20.51	    inference('split', [status(esa)], ['7'])).
20.30/20.51	tff(tpp, axiom, tpp() =
20.30/20.51	  ^[X:reg,Y:reg]: ((?[Z:reg]: (ec(Z,Y) & ec(Z,X))) & pp(X,Y))).
20.30/20.51	tff('46', plain,
20.30/20.51	    tpp =
20.30/20.51	    (^[V_1:reg,V_2:reg]:
20.30/20.51	       ((?[X2:reg]: (ec(X2,V_2) & ec(X2,V_1))) & pp(V_1,V_2))),
20.30/20.51	    define([status(thm)])).
20.30/20.51	tff(ax1, axiom, (mvalid(mbox(a,^[X]: tpp(catalunya,spain))))).
20.30/20.51	tff(zf_stmt_8, axiom,
20.30/20.51	  (![X2,X3]:
20.30/20.51	     ((~a(X2,X3)) | 
20.30/20.51	      ((~(![X11:reg]: (c(X11,spain) => c(X11,catalunya)))) & 
20.30/20.51	       (![X12:reg]: (c(X12,catalunya) => c(X12,spain))) & 
20.30/20.51	       (?[X4:reg]:
20.30/20.51	          ((~
20.30/20.51	             (?[X8:reg]:
20.30/20.51	                ((![X10:reg]: (c(X10,X8) => c(X10,X4))) & 
20.30/20.51	                 (![X9:reg]: (c(X9,X8) => c(X9,catalunya)))))) & 
20.30/20.51	           c(X4,catalunya) & 
20.30/20.51	           (~
20.30/20.51	             (?[X5:reg]:
20.30/20.51	                ((![X7:reg]: (c(X7,X5) => c(X7,X4))) & 
20.30/20.51	                 (![X6:reg]: (c(X6,X5) => c(X6,spain)))))) & 
20.30/20.51	           c(X4,spain))))))).
20.30/20.51	tff(zf_stmt_9, type, zip_tseitin7 : (reg * reg) > $o).
20.30/20.51	tff(zf_stmt_10, axiom, ((c(X6,X5) => c(X6,spain)) => zip_tseitin7(X6,X5))).
20.30/20.51	tff(zf_stmt_11, type, zip_tseitin6 : (reg * reg * reg) > $o).
20.30/20.51	tff(zf_stmt_12, axiom, ((c(X7,X5) => c(X7,X4)) => zip_tseitin6(X7,X5,X4))).
20.30/20.51	tff(zf_stmt_13, type, zip_tseitin5 : (reg * reg) > $o).
20.30/20.51	tff(zf_stmt_14, axiom,
20.30/20.51	  ((c(X9,X8) => c(X9,catalunya)) => zip_tseitin5(X9,X8))).
20.30/20.51	tff(zf_stmt_15, type, zip_tseitin4 : (reg * reg * reg) > $o).
20.30/20.51	tff(zf_stmt_16, axiom, ((c(X10,X8) => c(X10,X4)) => zip_tseitin4(X10,X8,X4))).
20.30/20.51	tff(zf_stmt_17, axiom,
20.30/20.51	  (![X2,X3]:
20.30/20.51	     (((?[X4:reg]:
20.30/20.51	          (c(X4,spain) & 
20.30/20.51	           (~
20.30/20.51	             (?[X5:reg]:
20.30/20.51	                ((![X6:reg]: zip_tseitin7(X6,X5)) & 
20.30/20.51	                 (![X7:reg]: zip_tseitin6(X7,X5,X4))))) & 
20.30/20.51	           c(X4,catalunya) & 
20.30/20.51	           (~
20.30/20.51	             (?[X8:reg]:
20.30/20.51	                ((![X9:reg]: zip_tseitin5(X9,X8)) & 
20.30/20.51	                 (![X10:reg]: zip_tseitin4(X10,X8,X4))))))) & 
20.30/20.51	       (![X12:reg]: (c(X12,catalunya) => c(X12,spain))) & 
20.30/20.51	       (~(![X11:reg]: (c(X11,spain) => c(X11,catalunya))))) | 
20.30/20.51	      (~a(X2,X3))))).
20.30/20.51	tff('47', plain,
20.30/20.51	    ![X152, X153, X155 : reg]:
20.30/20.51	      (~ c(X155, catalunya) | c(X155, spain) | ~ a(X152, X153)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_17])).
20.30/20.51	tff('48', plain,
20.30/20.51	    (![X155 : reg]: (~ c(X155, catalunya) | c(X155, spain)))
20.30/20.51	      <= ((![X155 : reg]: (~ c(X155, catalunya) | c(X155, spain)))),
20.30/20.51	    inference('split', [status(esa)], ['47'])).
20.30/20.51	tff('49', plain,
20.30/20.51	    (![X155 : reg]: (~ c(X155, catalunya) | c(X155, spain))) | 
20.30/20.51	    (![X135, X136]: ~ a(X135, X136)),
20.30/20.51	    inference('split', [status(esa)], ['47'])).
20.30/20.51	tff('50', plain, (![X155 : reg]: (~ c(X155, catalunya) | c(X155, spain))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['49', '24'])).
20.30/20.51	tff('51', plain, ![X155 : reg]: (~ c(X155, catalunya) | c(X155, spain)),
20.30/20.51	    inference('simpl_trail', [status(thm)], ['48', '50'])).
20.30/20.51	tff('52', plain,
20.30/20.51	    (c(sk_X15_(sk_X5_), spain)) <= ((c(sk_X15_(sk_X5_), catalunya))),
20.30/20.51	    inference('sup-', [status(thm)], ['45', '51'])).
20.30/20.51	tff('53', plain,
20.30/20.51	    ![X121 : reg]: (~ c(sk_X15_(X121), spain) | c(sk_X16_(X121), X121)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('54', plain,
20.30/20.51	    (c(sk_X16_(sk_X5_), sk_X5_)) <= ((c(sk_X15_(sk_X5_), catalunya))),
20.30/20.51	    inference('sup-', [status(thm)], ['52', '53'])).
20.30/20.51	tff('55', plain,
20.30/20.51	    ![X124 : reg, X126 : reg]:
20.30/20.51	      (~ c(X126, sk_X5_)
20.30/20.51	       | c(X126, sk_X4_1)
20.30/20.51	       | c(X124, paris)
20.30/20.51	       | ~ c(X124, sk_X8_)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('56', plain,
20.30/20.51	    (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1)))
20.30/20.51	      <= ((![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1)))),
20.30/20.51	    inference('split', [status(esa)], ['55'])).
20.30/20.51	tff('57', plain,
20.30/20.51	    (c(sk_X16_(sk_X5_), sk_X4_1))
20.30/20.51	      <= ((![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) & 
20.30/20.51	          (c(sk_X15_(sk_X5_), catalunya))),
20.30/20.51	    inference('sup-', [status(thm)], ['54', '56'])).
20.30/20.51	tff('58', plain,
20.30/20.51	    ![X121 : reg]: (~ c(sk_X15_(X121), spain) | ~ c(sk_X16_(X121), sk_X4_1)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('59', plain,
20.30/20.51	    (~ c(sk_X16_(sk_X5_), sk_X4_1)) <= ((c(sk_X15_(sk_X5_), catalunya))),
20.30/20.51	    inference('sup-', [status(thm)], ['52', '58'])).
20.30/20.51	tff('60', plain,
20.30/20.51	    ~ (c(sk_X15_(sk_X5_), catalunya)) | 
20.30/20.51	    ~ (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))),
20.30/20.51	    inference('sup-', [status(thm)], ['57', '59'])).
20.30/20.51	tff('61', plain,
20.30/20.51	    ((c(sk_X16_(sk_X5_), sk_X5_) | c(sk_X15_(sk_X5_), sk_X4_1)))
20.30/20.51	      <= ((![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1)))),
20.30/20.51	    inference('sup-', [status(thm)], ['4', '56'])).
20.30/20.51	tff('62', plain,
20.30/20.51	    (c(sk_X16_(sk_X5_), sk_X5_)) <= ((c(sk_X16_(sk_X5_), sk_X5_))),
20.30/20.51	    inference('split', [status(esa)], ['61'])).
20.30/20.51	tff('63', plain,
20.30/20.51	    (c(sk_X16_(sk_X5_), sk_X4_1))
20.30/20.51	      <= ((![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) & 
20.30/20.51	          (c(sk_X16_(sk_X5_), sk_X5_))),
20.30/20.51	    inference('sup-', [status(thm)], ['62', '56'])).
20.30/20.51	tff('64', plain,
20.30/20.51	    ![X121 : reg]: (c(sk_X15_(X121), X121) | ~ c(sk_X16_(X121), sk_X4_1)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('65', plain,
20.30/20.51	    (c(sk_X15_(sk_X5_), sk_X5_))
20.30/20.51	      <= ((![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) & 
20.30/20.51	          (c(sk_X16_(sk_X5_), sk_X5_))),
20.30/20.51	    inference('sup-', [status(thm)], ['63', '64'])).
20.30/20.51	tff('66', plain,
20.30/20.51	    (c(sk_X15_(sk_X5_), catalunya))
20.30/20.51	      <= ((![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))) & 
20.30/20.51	          (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) & 
20.30/20.51	          (c(sk_X16_(sk_X5_), sk_X5_))),
20.30/20.51	    inference('sup-', [status(thm)], ['65', '6'])).
20.30/20.51	tff('67', plain,
20.30/20.51	    (c(sk_X15_(sk_X5_), spain))
20.30/20.51	      <= ((![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))) & 
20.30/20.51	          (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) & 
20.30/20.51	          (c(sk_X16_(sk_X5_), sk_X5_))),
20.30/20.51	    inference('sup-', [status(thm)], ['66', '51'])).
20.30/20.51	tff('68', plain,
20.30/20.51	    (~ c(sk_X16_(sk_X5_), sk_X4_1))
20.30/20.51	      <= ((![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))) & 
20.30/20.51	          (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) & 
20.30/20.51	          (c(sk_X16_(sk_X5_), sk_X5_))),
20.30/20.51	    inference('sup-', [status(thm)], ['67', '58'])).
20.30/20.51	tff('69', plain,
20.30/20.51	    ~ (c(sk_X16_(sk_X5_), sk_X5_)) | 
20.30/20.51	    ~ (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) | 
20.30/20.51	    ~ (![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))),
20.30/20.51	    inference('sup-', [status(thm)], ['63', '68'])).
20.30/20.51	tff('70', plain,
20.30/20.51	    ![X125 : reg, X126 : reg]:
20.30/20.51	      (~ c(X126, sk_X5_)
20.30/20.51	       | c(X126, sk_X4_1)
20.30/20.51	       | c(X125, sk_X4_1)
20.30/20.51	       | ~ c(X125, sk_X8_)),
20.30/20.51	    inference('cnf', [status(esa)], [zf_stmt_1])).
20.30/20.51	tff('71', plain,
20.30/20.51	    (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) | 
20.30/20.51	    (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))),
20.30/20.51	    inference('split', [status(esa)], ['70'])).
20.30/20.51	tff('72', plain,
20.30/20.51	    (![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))) | 
20.30/20.51	    (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))),
20.30/20.51	    inference('split', [status(esa)], ['30'])).
20.30/20.51	tff('73', plain, (![X125 : reg]: (c(X125, sk_X4_1) | ~ c(X125, sk_X8_))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['8', '60', '69', '71', '72'])).
20.30/20.51	tff('74', plain, ~ (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['44', '73'])).
20.30/20.51	tff('75', plain, (![X123 : reg]: (~ c(X123, sk_X5_) | c(X123, catalunya))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['9', '74'])).
20.30/20.51	tff('76', plain,
20.30/20.51	    (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))) | 
20.30/20.51	    (![X124 : reg]: (c(X124, paris) | ~ c(X124, sk_X8_))),
20.30/20.51	    inference('split', [status(esa)], ['55'])).
20.30/20.51	tff('77', plain, (![X126 : reg]: (~ c(X126, sk_X5_) | c(X126, sk_X4_1))),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['76', '74'])).
20.30/20.51	tff('78', plain, ~ (c(sk_X16_(sk_X5_), sk_X5_)),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['69', '75', '77'])).
20.30/20.51	tff('79', plain, ~ (c(sk_X15_(sk_X5_), catalunya)),
20.30/20.51	    inference('sat_resolution', [status(thm)], ['60', '77'])).
20.30/20.51	tff('80', plain, $false,
20.30/20.51	    inference('sat_resolution', [status(thm)], ['8', '75', '78', '79'])).
20.30/20.51	
20.30/20.51	% SZS output end Refutation
20.30/20.51	% Zipperpin 1.5 exiting
20.30/20.51	EOF