0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.FaKhWoEJds
0.14/0.34	% Computer   : n023.cluster.edu
0.14/0.34	% Model      : x86_64 x86_64
0.14/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory     : 8042.1875MB
0.14/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 180
0.14/0.34	% DateTime   : Thu Aug 29 15:37:22 EDT 2019
0.14/0.34	% CPUTime    : 
34.67/34.90	% Running portfolio for 180 s
34.67/34.90	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
34.67/34.90	% TempDir      : /export/starexec/sandbox2/tmp/tmp.FaKhWoEJds
34.67/34.90	% Recognized as monomorphic HO.
34.67/34.90	% Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18
34.67/34.90	% Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13
34.67/34.90	% Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3
34.67/34.90	% Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28
34.67/34.90	% Solved by: pragmatic.rudimentary.sh
34.67/34.90	% done 414 iterations in 0.845s
34.67/34.90	% hashcons stats for terms: size 4096, num 3745, sum length 14294, buckets: small 3, median 3, big 13
34.67/34.90	% proof state stats: {active 147, passive 2932, simpl 0}
34.67/34.90	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
34.67/34.90	% SZS output start Refutation
34.67/34.90	tff(mreflexive, axiom, mreflexive() = ^[R:(($i * $i) > $o)]: (![S]: R(S,S))).
34.67/34.90	tff('0', plain, mreflexive = (^[V_1:(($i * $i) > $o)]: (![X2]: V_1(X2,X2))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(ax1, axiom, (mreflexive(rk))).
34.67/34.90	tff(zf_stmt_0, axiom, (![X2]: rk(X2,X2))).
34.67/34.90	tff('1', plain, ![X110]: rk(X110, X110),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.90	tff(mserial, axiom, mserial() =
34.67/34.90	  ^[R:(($i * $i) > $o)]: (![S]: (?[T]: R(S,T)))).
34.67/34.90	tff('2', plain,
34.67/34.90	    mserial = (^[V_1:(($i * $i) > $o)]: (![X2]: (?[X3]: V_1(X2,X3)))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(ax2, axiom, (mserial(rb))).
34.67/34.90	tff(zf_stmt_1, axiom, (![X2]: (?[X3]: rb(X2,X3)))).
34.67/34.90	tff('3', plain, ![X106]: rb(X106, sk_X3_(X106)),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_1])).
34.67/34.90	tff(mvalid, axiom, mvalid() = ^[Phi:($i > $o)]: (![W]: Phi(W))).
34.67/34.90	tff('4', plain, mvalid = (^[V_1:($i > $o)]: (![X2]: V_1(X2))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(mbox, axiom, mbox() =
34.67/34.90	  ^[R:(($i * $i) > $o),Phi:($i > $o),W]: (![V]: (Phi(V) | (~R(W,V))))).
34.67/34.90	tff('5', plain,
34.67/34.90	    mbox =
34.67/34.90	    (^[V_1:(($i * $i) > $o),V_2:($i > $o),V_3]:
34.67/34.90	       (![X2]: (V_2(X2) | (~V_1(V_3,X2))))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(mforall_prop, axiom, mforall_prop() =
34.67/34.90	  ^[Phi:(($i > $o * $i) > $o),W]: (![P:($i > $o)]: Phi(P,W))).
34.67/34.90	tff('6', plain,
34.67/34.90	    mforall_prop =
34.67/34.90	    (^[V_1:(($i > $o * $i) > $o),V_2]: (![X2:($i > $o)]: V_1(X2,V_2))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(mimplies, axiom, mimplies() =
34.67/34.90	  ^[Phi:($i > $o),Psi:($i > $o)]: mor(mnot(Phi),Psi)).
34.67/34.90	tff('7', plain,
34.67/34.90	    mimplies = (^[V_1:($i > $o),V_2:($i > $o)]: mor(mnot(V_1),V_2)),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(mor, axiom, mor() = ^[Phi:($i > $o),Psi:($i > $o),W]: (Psi(W) | Phi(W))).
34.67/34.90	tff('8', plain,
34.67/34.90	    mor = (^[V_1:($i > $o),V_2:($i > $o),V_3]: (V_2(V_3) | V_1(V_3))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(mnot, axiom, mnot() = ^[Phi:($i > $o),W]: (~Phi(W))).
34.67/34.90	tff('9', plain, mnot = (^[V_1:($i > $o),V_2]: (~V_1(V_2))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(ax7, axiom,
34.67/34.90	  (mvalid(mforall_prop(^[A:($i > $o)]: mimplies(mbox(rk,A),mbox(rb,A)))))).
34.67/34.90	tff(zf_stmt_2, axiom,
34.67/34.90	  (![X2,X3:($i > $o)]:
34.67/34.90	     ((![X4]: (X3(X4) | (~rb(X2,X4)))) | (~(![X5]: (X3(X5) | (~rk(X2,X5)))))))).
34.67/34.90	tff('10', plain,
34.67/34.90	    ![X107, X108, X109 : $i > $o]:
34.67/34.90	      (~ rb(X107, X108) | X109(X108) | ~ X109(sk_X5_(X109, X107))),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
34.67/34.90	tff('11', plain,
34.67/34.90	    ![X0, X1 : $i > $o]: (~ X1(sk_X5_(X1, X0)) | X1(sk_X3_(X0))),
34.67/34.90	    inference('sup-', [status(thm)], ['3', '10'])).
34.67/34.90	tff('12', plain,
34.67/34.90	    ![X107, X108, X109 : $i > $o]:
34.67/34.90	      (~ rb(X107, X108) | X109(X108) | rk(X107, sk_X5_(X109, X107))),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
34.67/34.90	tff('13', plain,
34.67/34.90	    ![X0, X1 : $i > $o]: (rk(X0, sk_X5_(X1, X0)) | X1(sk_X3_(X0))),
34.67/34.90	    inference('sup-', [status(thm)], ['3', '12'])).
34.67/34.90	tff('14', plain, ![X0]: (rk(X0, sk_X3_(X0)) | rk(X0, sk_X3_(X0))),
34.67/34.90	    inference('sup+', [status(thm)], ['11', '13'])).
34.67/34.90	tff('15', plain, ![X0]: rk(X0, sk_X3_(X0)),
34.67/34.90	    inference('simplify', [status(thm)], ['14'])).
34.67/34.90	tff(conj, conjecture,
34.67/34.90	  (mvalid(mforall_prop(^[A:($i > $o)]: mimplies(mbox(rb,A),mbox(rk,A)))))).
34.67/34.90	tff(zf_stmt_3, conjecture,
34.67/34.90	  (![X2,X3:($i > $o)]:
34.67/34.90	     ((![X4]: (X3(X4) | (~rk(X2,X4)))) | (~(![X5]: (X3(X5) | (~rb(X2,X5)))))))).
34.67/34.90	tff(zf_stmt_4, negated_conjecture,
34.67/34.90	  (~
34.67/34.90	    (![X2,X3:($i > $o)]:
34.67/34.90	       ((![X4]: (X3(X4) | (~rk(X2,X4)))) | 
34.67/34.90	        (~(![X5]: (X3(X5) | (~rb(X2,X5))))))))).
34.67/34.90	tff('16', plain, rk(sk_X2_, sk_X4_),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
34.67/34.90	tff(meuclidean, axiom, meuclidean() =
34.67/34.90	  ^[R:(($i * $i) > $o)]: (![S,T,U]: ((R(S,U) & R(S,T)) => R(T,U)))).
34.67/34.90	tff('17', plain,
34.67/34.90	    meuclidean =
34.67/34.90	    (^[V_1:(($i * $i) > $o)]:
34.67/34.90	       (![X2,X3,X4]: ((V_1(X2,X4) & V_1(X2,X3)) => V_1(X3,X4)))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(ax5, axiom, (meuclidean(rk))).
34.67/34.90	tff(zf_stmt_5, axiom, (![X2,X3,X4]: ((rk(X2,X4) & rk(X2,X3)) => rk(X3,X4)))).
34.67/34.90	tff('18', plain,
34.67/34.90	    ![X90, X91, X92]: (~ rk(X90, X91) | ~ rk(X90, X92) | rk(X91, X92)),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
34.67/34.90	tff('19', plain, ![X0]: (rk(sk_X4_, X0) | ~ rk(sk_X2_, X0)),
34.67/34.90	    inference('sup-', [status(thm)], ['16', '18'])).
34.67/34.90	tff('20', plain, rk(sk_X4_, sk_X3_(sk_X2_)),
34.67/34.90	    inference('sup-', [status(thm)], ['15', '19'])).
34.67/34.90	tff('21', plain, ![X0]: (rk(sk_X3_(sk_X2_), X0) | ~ rk(sk_X4_, X0)),
34.67/34.90	    inference('sup-', [status(thm)], ['20', '18'])).
34.67/34.90	tff('22', plain, rk(sk_X3_(sk_X2_), sk_X4_),
34.67/34.90	    inference('sup-', [status(thm)], ['1', '21'])).
34.67/34.90	tff('23', plain, ![X0, X1]: (rk(sk_X3_(X0), X1) | ~ rk(X0, X1)),
34.67/34.90	    inference('sup-', [status(thm)], ['15', '18'])).
34.67/34.90	tff('24', plain, rk(sk_X3_(sk_X3_(sk_X2_)), sk_X4_),
34.67/34.90	    inference('sup-', [status(thm)], ['22', '23'])).
34.67/34.90	tff(mtransitive, axiom, mtransitive() =
34.67/34.90	  ^[R:(($i * $i) > $o)]: (![S,T,U]: ((R(T,U) & R(S,T)) => R(S,U)))).
34.67/34.90	tff('25', plain,
34.67/34.90	    mtransitive =
34.67/34.90	    (^[V_1:(($i * $i) > $o)]:
34.67/34.90	       (![X2,X3,X4]: ((V_1(X3,X4) & V_1(X2,X3)) => V_1(X2,X4)))),
34.67/34.90	    define([status(thm)])).
34.67/34.90	tff(ax4, axiom, (mtransitive(rb))).
34.67/34.90	tff(zf_stmt_6, axiom, (![X2,X3,X4]: ((rb(X3,X4) & rb(X2,X3)) => rb(X2,X4)))).
34.67/34.90	tff('26', plain,
34.67/34.90	    ![X99, X100, X101]: (~ rb(X99, X100) | ~ rb(X100, X101) | rb(X99, X101)),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_6])).
34.67/34.90	tff('27', plain, ![X0, X1]: (rb(X0, X1) | ~ rb(sk_X3_(X0), X1)),
34.67/34.90	    inference('sup-', [status(thm)], ['3', '26'])).
34.67/34.90	tff('28', plain, ![X0]: rb(X0, sk_X3_(sk_X3_(X0))),
34.67/34.90	    inference('sup-', [status(thm)], ['3', '27'])).
34.67/34.90	tff(ax8, axiom,
34.67/34.90	  (mvalid(mforall_prop(^[A:($i > $o)]:
34.67/34.90	                         mimplies(mbox(rb,A),mbox(rb,mbox(rk,A))))))).
34.67/34.90	tff(zf_stmt_7, axiom,
34.67/34.90	  (![X2,X3:($i > $o)]:
34.67/34.90	     ((![X4]: ((![X5]: (X3(X5) | (~rk(X4,X5)))) | (~rb(X2,X4)))) | 
34.67/34.90	      (~(![X6]: (X3(X6) | (~rb(X2,X6)))))))).
34.67/34.90	tff('29', plain,
34.67/34.90	    ![X102, X103, X104 : $i > $o, X105]:
34.67/34.90	      (~ rb(X102, X103)
34.67/34.90	       | X104(X105)
34.67/34.90	       | ~ rk(X103, X105)
34.67/34.90	       | rb(X102, sk_X6_(X104, X102))),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_7])).
34.67/34.90	tff('30', plain,
34.67/34.90	    ![X0, X1 : $i > $o, X2]:
34.67/34.90	      (rb(X0, sk_X6_(X1, X0)) | ~ rk(sk_X3_(sk_X3_(X0)), X2) | X1(X2)),
34.67/34.90	    inference('sup-', [status(thm)], ['28', '29'])).
34.67/34.90	tff('31', plain,
34.67/34.90	    ![X102, X103, X104 : $i > $o, X105]:
34.67/34.90	      (~ rb(X102, X103)
34.67/34.90	       | X104(X105)
34.67/34.90	       | ~ rk(X103, X105)
34.67/34.90	       | ~ X104(sk_X6_(X104, X102))),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_7])).
34.67/34.90	tff('32', plain,
34.67/34.90	    ![X0, X1 : $i > $o, X2]:
34.67/34.90	      (~ X1(sk_X6_(X1, X0)) | ~ rk(sk_X3_(sk_X3_(X0)), X2) | X1(X2)),
34.67/34.90	    inference('sup-', [status(thm)], ['28', '31'])).
34.67/34.90	tff('33', plain, ![X111]: (sk_X3_1(X111) | ~ rb(sk_X2_, X111)),
34.67/34.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
34.67/34.90	tff('34', plain,
34.67/34.90	    ![X0, X1]:
34.67/34.90	      (~ rk(sk_X3_(sk_X3_(X1)), X0)
34.67/34.90	       | ~ rb(sk_X2_, sk_X6_(rb(sk_X2_), X1))
34.67/34.90	       | sk_X3_1(X0)),
34.67/34.90	    inference('sup-', [status(thm)], ['32', '33'])).
34.67/34.90	tff('35', plain,
34.67/34.90	    ![X0, X1]:
34.67/34.90	      (rb(sk_X2_, X1)
34.67/34.90	       | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1)
34.67/34.90	       | sk_X3_1(X0)
34.67/34.90	       | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X0)),
34.67/34.90	    inference('sup-', [status(thm)], ['30', '34'])).
34.67/34.90	tff('36', plain,
34.67/34.90	    (![X1]: (rb(sk_X2_, X1) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1)))
34.67/34.90	      <= ((![X1]: (rb(sk_X2_, X1) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1)))),
34.67/34.90	    inference('split', [status(esa)], ['35'])).
34.67/34.90	tff('37', plain,
34.67/34.90	    (![X0]: (~ rk(sk_X3_(sk_X3_(sk_X2_)), X0) | sk_X3_1(X0)))
34.67/34.90	      <= ((![X1]: (rb(sk_X2_, X1) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1)))),
34.67/34.90	    inference('sup-', [status(thm)], ['36', '33'])).
34.67/34.90	tff('38', plain,
34.67/34.90	    (sk_X3_1(sk_X4_))
34.75/34.90	      <= ((![X1]: (rb(sk_X2_, X1) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1)))),
34.75/34.90	    inference('sup-', [status(thm)], ['24', '37'])).
34.75/34.90	tff('39', plain,
34.75/34.90	    (![X1]: (rb(sk_X2_, X1) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1))) | 
34.75/34.90	    (![X0]: (sk_X3_1(X0) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X0))),
34.75/34.90	    inference('split', [status(esa)], ['35'])).
34.75/34.90	tff('40', plain,
34.75/34.90	    (![X0]: (sk_X3_1(X0) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X0)))
34.75/34.90	      <= ((![X0]: (sk_X3_1(X0) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X0)))),
34.75/34.90	    inference('split', [status(esa)], ['35'])).
34.75/34.90	tff('41', plain,
34.75/34.90	    (sk_X3_1(sk_X4_))
34.75/34.90	      <= ((![X0]: (sk_X3_1(X0) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X0)))),
34.75/34.90	    inference('sup-', [status(thm)], ['24', '40'])).
34.75/34.90	tff('42', plain, ~ sk_X3_1(sk_X4_),
34.75/34.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
34.75/34.90	tff('43', plain, ~ (![X0]: (sk_X3_1(X0) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X0))),
34.75/34.90	    inference('sup-', [status(thm)], ['41', '42'])).
34.75/34.90	tff('44', plain,
34.75/34.90	    (![X1]: (rb(sk_X2_, X1) | ~ rk(sk_X3_(sk_X3_(sk_X2_)), X1))),
34.75/34.90	    inference('sat_resolution', [status(thm)], ['39', '43'])).
34.75/34.90	tff('45', plain, sk_X3_1(sk_X4_),
34.75/34.90	    inference('simpl_trail', [status(thm)], ['38', '44'])).
34.75/34.90	tff('46', plain, $false, inference('sup-', [status(thm)], ['45', '42'])).
34.75/34.90	
34.75/34.90	% SZS output end Refutation
34.75/34.90	% Zipperpin 1.5 exiting
34.75/34.90	EOF