0.03/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.2QHEBTfMo8
0.13/0.35	% Computer   : n012.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 180
0.13/0.35	% DateTime   : Thu Aug 29 17:09:41 EDT 2019
0.13/0.35	% CPUTime    : 
117.93/118.45	% Running portfolio for 180 s
117.93/118.45	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
117.93/118.45	% TempDir      : /export/starexec/sandbox/tmp/tmp.2QHEBTfMo8
117.93/118.45	% Recognized as monomorphic HO.
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/competitive.sh for 18
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 15
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 13
117.93/118.45	% Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 16
117.93/118.45	% Solved by: pragmatic.ll.e.sh
117.93/118.45	% Running : timeout 16 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.2QHEBTfMo8/e_input1f43dc --cpu-limit=14 --auto-schedule -s -p.
117.93/118.45	% done 248 iterations in 6.583s
117.93/118.45	% hashcons stats for terms: size 4096, num 20796, sum length 37083, buckets: small 0, median 7, big 22
117.93/118.45	% proof state stats: {active 112, passive 7104, simpl 0}
117.93/118.45	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
117.93/118.45	% SZS output start Refutation
117.93/118.45	tff(mvalid, axiom, mvalid() = ^[Phi:($i > $o)]: (![W]: Phi(W))).
117.93/118.45	tff('0', plain, mvalid = (^[V_1:($i > $o)]: (![X2]: V_1(X2))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(mbox, axiom, mbox() =
117.93/118.45	  ^[R:(($i * $i) > $o),Phi:($i > $o),W]: (![V]: (Phi(V) | (~R(W,V))))).
117.93/118.45	tff('1', plain,
117.93/118.45	    mbox =
117.93/118.45	    (^[V_1:(($i * $i) > $o),V_2:($i > $o),V_3]:
117.93/118.45	       (![X2]: (V_2(X2) | (~V_1(V_3,X2))))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(mexists_ind, axiom, mexists_ind() =
117.93/118.45	  ^[Phi:((mu * $i) > $o)]: mnot(mforall_ind(^[X:mu]: mnot(Phi(X))))).
117.93/118.45	tff('2', plain,
117.93/118.45	    mexists_ind =
117.93/118.45	    (^[V_1:((mu * $i) > $o)]: mnot(mforall_ind(^[V_2:mu]: mnot(V_1(V_2))))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(mforall_ind, axiom, mforall_ind() =
117.93/118.45	  ^[Phi:((mu * $i) > $o),W]: (![X:mu]: Phi(X,W))).
117.93/118.45	tff('3', plain,
117.93/118.45	    mforall_ind = (^[V_1:((mu * $i) > $o),V_2]: (![X2:mu]: V_1(X2,V_2))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(mnot, axiom, mnot() = ^[Phi:($i > $o),W]: (~Phi(W))).
117.93/118.45	tff('4', plain, mnot = (^[V_1:($i > $o),V_2]: (~V_1(V_2))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(conj, conjecture, (mvalid(mexists_ind(^[X:mu]: mbox(a1,p(X)))))).
117.93/118.45	tff(zf_stmt_0, conjecture,
117.93/118.45	  (![X2]: (~(![X3:mu]: (~(![X4]: (p(X3,X4) | (~a1(X2,X4))))))))).
117.93/118.45	tff(zf_stmt_1, negated_conjecture,
117.93/118.45	  (~(![X2]: (~(![X3:mu]: (~(![X4]: (p(X3,X4) | (~a1(X2,X4)))))))))).
117.93/118.45	tff('5', plain, ![X119 : mu]: ~ p(X119, sk_X4_1(X119)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_1])).
117.93/118.45	tff('6', plain, ![X119 : mu]: a1(sk_X2_, sk_X4_1(X119)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_1])).
117.93/118.45	tff(mforall_prop, axiom, mforall_prop() =
117.93/118.45	  ^[Phi:(($i > $o * $i) > $o),W]: (![P:($i > $o)]: Phi(P,W))).
117.93/118.45	tff('7', plain,
117.93/118.45	    mforall_prop =
117.93/118.45	    (^[V_1:(($i > $o * $i) > $o),V_2]: (![X2:($i > $o)]: V_1(X2,V_2))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(mimplies, axiom, mimplies() =
117.93/118.45	  ^[Phi:($i > $o),Psi:($i > $o)]: mor(mnot(Phi),Psi)).
117.93/118.45	tff('8', plain,
117.93/118.45	    mimplies = (^[V_1:($i > $o),V_2:($i > $o)]: mor(mnot(V_1),V_2)),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(mor, axiom, mor() = ^[Phi:($i > $o),Psi:($i > $o),W]: (Psi(W) | Phi(W))).
117.93/118.45	tff('9', plain,
117.93/118.45	    mor = (^[V_1:($i > $o),V_2:($i > $o),V_3]: (V_2(V_3) | V_1(V_3))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(axiom_I_for_a2_a1, axiom,
117.93/118.45	  (mvalid(mforall_prop(^[Phi:($i > $o)]: mimplies(mbox(a2,Phi),mbox(a1,Phi)))))).
117.93/118.45	tff(zf_stmt_2, axiom,
117.93/118.45	  (![X2,X3:($i > $o)]:
117.93/118.45	     ((![X4]: (X3(X4) | (~a1(X2,X4)))) | (~(![X5]: (X3(X5) | (~a2(X2,X5)))))))).
117.93/118.45	tff('10', plain,
117.93/118.45	    ![X112, X113, X114 : $i > $o]:
117.93/118.45	      (~ a1(X112, X113) | X114(X113) | ~ X114(sk_X5_2(X114, X112))),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_2])).
117.93/118.45	tff(mdia, axiom, mdia() =
117.93/118.45	  ^[R:(($i * $i) > $o),Phi:($i > $o)]: mnot(mbox(R,mnot(Phi)))).
117.93/118.45	tff('11', plain,
117.93/118.45	    mdia = (^[V_1:(($i * $i) > $o),V_2:($i > $o)]: mnot(mbox(V_1,mnot(V_2)))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(axiom_a4, axiom, (mvalid(mdia(a1,s(a))))).
117.93/118.45	tff(zf_stmt_3, axiom, (![X2]: (~(![X3]: ((~s(a,X3)) | (~a1(X2,X3))))))).
117.93/118.45	tff('12', plain, ![X118]: s(a, sk_X3_(X118)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_3])).
117.93/118.45	tff(mand, axiom, mand() =
117.93/118.45	  ^[Phi:($i > $o),Psi:($i > $o)]: mnot(mor(mnot(Phi),mnot(Psi)))).
117.93/118.45	tff('13', plain,
117.93/118.45	    mand = (^[V_1:($i > $o),V_2:($i > $o)]: mnot(mor(mnot(V_1),mnot(V_2)))),
117.93/118.45	    define([status(thm)])).
117.93/118.45	tff(axiom_a2, axiom,
117.93/118.45	  (mvalid(mforall_ind(^[X:mu]: mbox(a1,mimplies(mand(r(X),s(X)),q(X))))))).
117.93/118.45	tff(zf_stmt_4, axiom,
117.93/118.45	  (![X2,X3:mu,X4]: ((~s(X3,X4)) | (~r(X3,X4)) | q(X3,X4) | (~a1(X2,X4))))).
117.93/118.45	tff('14', plain,
117.93/118.45	    ![X115 : mu, X116, X117]:
117.93/118.45	      (~ s(X115, X116) | ~ r(X115, X116) | q(X115, X116) | ~ a1(X117, X116)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_4])).
117.93/118.45	tff('15', plain,
117.93/118.45	    ![X112, X113, X114 : $i > $o]:
117.93/118.45	      (~ a1(X112, X113) | X114(X113) | a2(X112, sk_X5_2(X114, X112))),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_2])).
117.93/118.45	tff('16', plain,
117.93/118.45	    ![X0 : mu, X1 : $i > $o]:
117.93/118.45	      (a2(sk_X2_, sk_X5_2(X1, sk_X2_)) | X1(sk_X4_1(X0))),
117.93/118.45	    inference('sup-', [status(thm)], ['6', '15'])).
117.93/118.45	tff('17', plain,
117.93/118.45	    ![X0 : mu]:
117.93/118.45	      a2(sk_X2_, 
117.93/118.45	        sk_X5_2((^[Y0 : $i]: p((^[Y1 : $i]: X0)(Y0), (^[Y1 : $i]: Y1)(Y0))), 
117.93/118.45	          sk_X2_)),
117.93/118.45	    inference('sup-', [status(thm)], ['16', '5'])).
117.93/118.45	tff('18', plain, ![X0 : mu]: a2(sk_X2_, sk_X5_2(p(X0), sk_X2_)),
117.93/118.45	    inference('lambda-normalize', [status(thm)], ['17'])).
117.93/118.45	tff(axiom_a1, axiom,
117.93/118.45	  (mvalid(mforall_ind(^[X:mu]: mbox(a2,mimplies(mdia(a2,q(X)),p(X))))))).
117.93/118.45	tff(zf_stmt_5, axiom,
117.93/118.45	  (![X2,X3:mu,X4]:
117.93/118.45	     ((![X5]: ((~q(X3,X5)) | (~a2(X4,X5)))) | p(X3,X4) | (~a2(X2,X4))))).
117.93/118.45	tff('19', plain,
117.93/118.45	    ![X98, X99, X100 : mu, X101]:
117.93/118.45	      (~ a2(X98, X99) | ~ q(X100, X99) | p(X100, X98) | ~ a2(X101, X98)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_5])).
117.93/118.45	tff('20', plain, ![X118]: a1(X118, sk_X3_(X118)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_3])).
117.93/118.45	tff('21', plain,
117.93/118.45	    ![X0, X1 : $i > $o]: (~ X1(sk_X5_2(X1, X0)) | X1(sk_X3_(X0))),
117.93/118.45	    inference('sup-', [status(thm)], ['20', '10'])).
117.93/118.45	tff('22', plain,
117.93/118.45	    ![X0]:
117.93/118.45	      (~ (^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0))(
117.93/118.45	           sk_X5_2((^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0)), X0))
117.93/118.45	       | (^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0))(sk_X3_(X0))),
117.93/118.45	    inference('elim_leibniz_eq_+', [status(thm)], ['21'])).
117.93/118.45	tff('23', plain,
117.93/118.45	    ![X0]:
117.93/118.45	      (~ (!= $i, sk_X3_(X0), 
117.93/118.45	            sk_X5_2((^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0)), X0))
117.93/118.45	       | (!= $i, sk_X3_(X0), sk_X3_(X0))),
117.93/118.45	    inference('lambda-normalize', [status(thm)], ['22'])).
117.93/118.45	tff('24', plain,
117.93/118.45	    ![X0]:
117.93/118.45	      (sk_X3_(X0) = sk_X5_2((^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0)), X0)
117.93/118.45	       | sk_X3_(X0) != sk_X3_(X0)),
117.93/118.45	    inference('simplify nested equalities', [status(thm)], ['23'])).
117.93/118.45	tff('25', plain,
117.93/118.45	    ![X0]: sk_X3_(X0) = sk_X5_2((^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0)), X0),
117.93/118.45	    inference('simplify', [status(thm)], ['24'])).
117.93/118.45	tff('26', plain,
117.93/118.45	    ![X0, X1]:
117.93/118.45	      (a2(X0, sk_X3_(X0))
117.93/118.45	       | (^[Y0 : $i]: (!= $i, sk_X3_(X0), Y0))(X1)
117.93/118.45	       | ~ a1(X0, X1)),
117.93/118.45	    inference('sup+', [status(thm)], ['25', '15'])).
117.93/118.45	tff('27', plain,
117.93/118.45	    ![X0, X1]: (a2(X0, sk_X3_(X0)) | (!= $i, sk_X3_(X0), X1) | ~ a1(X0, X1)),
117.93/118.45	    inference('lambda-normalize', [status(thm)], ['26'])).
117.93/118.45	tff('28', plain,
117.93/118.45	    ![X0, X1]: (a2(X0, sk_X3_(X0)) | sk_X3_(X0) != X1 | ~ a1(X0, X1)),
117.93/118.45	    inference('simplify nested equalities', [status(thm)], ['27'])).
117.93/118.45	tff('29', plain, ![X0]: (~ a1(X0, sk_X3_(X0)) | a2(X0, sk_X3_(X0))),
117.93/118.45	    inference('simplify', [status(thm)], ['28'])).
117.93/118.45	tff('30', plain, ![X0]: a2(X0, sk_X3_(X0)),
117.93/118.45	    inference('clc', [status(thm)], ['29', '20'])).
117.93/118.45	tff(axiom_a3, axiom,
117.93/118.45	  (mvalid(mforall_ind(^[X:mu]: mbox(a1,mimplies(s(X),mbox(a1,r(X)))))))).
117.93/118.45	tff(zf_stmt_6, axiom,
117.93/118.45	  (![X2,X3:mu,X4]:
117.93/118.45	     ((~s(X3,X4)) | (![X5]: (r(X3,X5) | (~a1(X4,X5)))) | (~a1(X2,X4))))).
117.93/118.45	tff('31', plain,
117.93/118.45	    ![X102 : mu, X103, X104, X105]:
117.93/118.45	      (~ s(X102, X103) | ~ a1(X103, X104) | r(X102, X104) | ~ a1(X105, X103)),
117.93/118.45	    inference('cnf', [status(esa)], [zf_stmt_6])).
118.09/118.45	tff(axiom_4s_for_a2_a1, axiom,
118.09/118.45	  (mvalid(mforall_prop(^[Phi:($i > $o)]:
118.09/118.45	                         mimplies(mbox(a2,Phi),mbox(a1,mbox(a2,Phi))))))).
118.09/118.45	tff(zf_stmt_7, axiom,
118.09/118.45	  (![X2,X3:($i > $o)]:
118.09/118.45	     ((![X4]: ((![X5]: (X3(X5) | (~a2(X4,X5)))) | (~a1(X2,X4)))) | 
118.09/118.45	      (~(![X6]: (X3(X6) | (~a2(X2,X6)))))))).
118.09/118.45	tff('32', plain,
118.09/118.45	    ![X138, X139, X140 : $i > $o, X141]:
118.09/118.45	      (~ a1(X138, X139)
118.09/118.45	       | X140(X141)
118.09/118.45	       | ~ a2(X139, X141)
118.09/118.45	       | a2(X138, sk_X6_3(X140, X138))),
118.09/118.45	    inference('cnf', [status(esa)], [zf_stmt_7])).
118.09/118.45	tff('33', plain,
118.09/118.45	    ![X138, X139, X140 : $i > $o, X141]:
118.09/118.45	      (~ a1(X138, X139)
118.09/118.45	       | X140(X141)
118.09/118.45	       | ~ a2(X139, X141)
118.09/118.45	       | ~ X140(sk_X6_3(X140, X138))),
118.09/118.45	    inference('cnf', [status(esa)], [zf_stmt_7])).
118.09/118.45	tff('34', plain,
118.09/118.45	    ![X0, X1, X2, X3, X4]:
118.09/118.45	      (~ a2(X4, X3)
118.09/118.45	       | (^[Y0 : $i]: a2((^[Y1 : $i]: X0)(Y0), Y0))(X3)
118.09/118.45	       | ~ a1(
118.09/118.45	             (^[Y0 : $i]: X0)(
118.09/118.45	               sk_X6_3(
118.09/118.45	                 (^[Y0 : $i]: a2((^[Y1 : $i]: X0)(Y0), (^[Y1 : $i]: Y1)(Y0))), 
118.09/118.45	                 X0)), X4)
118.09/118.45	       | ~ a2(X2, X1)
118.09/118.45	       | (^[Y0 : $i]: a2((^[Y1 : $i]: X0)(Y0), (^[Y1 : $i]: Y1)(Y0)))(X1)
118.09/118.45	       | ~ a1(X0, X2)),
118.09/118.45	    inference('sup+', [status(thm)], ['32', '33'])).
118.09/118.45	tff('35', plain,
118.09/118.45	    ![X0, X1, X2, X3, X4]:
118.09/118.45	      (~ a2(X4, X3)
118.09/118.45	       | a2(X0, X3)
118.09/118.45	       | ~ a1(X0, X4)
118.09/118.45	       | ~ a2(X2, X1)
118.09/118.45	       | a2(X0, X1)
118.09/118.45	       | ~ a1(X0, X2)),
118.09/118.45	    inference('lambda-normalize', [status(thm)], ['34'])).
118.09/118.45	tff('36', plain, $false,
118.09/118.45	    inference('eprover', [status(thm)],
118.09/118.45	              ['5', '6', '10', '12', '14', '18', '19', '30', '31', '20', '35'])).
118.09/118.45	
118.09/118.45	% SZS output end Refutation
118.09/118.45	% Zipperpin 1.5 exiting
118.09/118.45	EOF