0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.S09Z1wLO7U
0.13/0.34	% Computer   : n026.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% DateTime   : Thu Jul  2 08:31:39 EDT 2020
0.13/0.35	% CPUTime    : 
0.13/0.35	% Running portfolio for 120 s
0.13/0.35	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.35	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.43/0.61	% Estimated wc time : 1286
0.43/0.61	% Estimated cpu time (7 cpus) : 183.71428571428572
0.54/0.69	% /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s
0.54/0.70	% /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.54/0.72	% /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s
0.54/0.73	% /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s
0.54/0.73	% /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s
0.54/0.74	% /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s
0.54/0.74	% /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s
0.54/0.74	% /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s
0.55/0.79	% /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s
0.56/0.85	% Solved by lams/c.easy.sh.
0.56/0.85	% done 57 iterations in 0.091s
0.56/0.85	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.56/0.85	% SZS output start Refutation
0.56/0.85	tff(defD1, axiom, god() =
0.56/0.85	  ^[X:mu]:
0.56/0.85	    mforall_indset(^[Phi:((mu * $i) > $o)]: mimplies(positive(Phi),Phi(X)))).
0.56/0.85	tff(mforall_indset, axiom, mforall_indset() =
0.56/0.85	  ^[Phi:(((mu * $i) > $o * $i) > $o),W]: (![X:((mu * $i) > $o)]: Phi(X,W))).
0.56/0.85	tff('0', plain,
0.56/0.85	    mforall_indset =
0.56/0.85	    (^[Phi:(((mu * $i) > $o * $i) > $o),W]: (![X:((mu * $i) > $o)]: Phi(X,W))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mforall_indset])).
0.56/0.85	tff('1', plain,
0.56/0.85	    mforall_indset =
0.56/0.85	    (^[V_1:(((mu * $i) > $o * $i) > $o),V_2]:
0.56/0.85	       (![X4:((mu * $i) > $o)]: V_1(X4,V_2))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(mimplies, axiom, mimplies() =
0.56/0.85	  ^[Phi:(($i > $o)),Psi:(($i > $o)),W]: (Phi(W) => Psi(W))).
0.56/0.85	tff('2', plain,
0.56/0.85	    mimplies = (^[Phi:(($i > $o)),Psi:(($i > $o)),W]: (Phi(W) => Psi(W))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mimplies])).
0.56/0.85	tff('3', plain,
0.56/0.85	    mimplies =
0.56/0.85	    (^[V_1:(($i > $o)),V_2:(($i > $o)),V_3]: (V_1(V_3) => V_2(V_3))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff('4', plain,
0.56/0.85	    god =
0.56/0.85	    (^[X:mu]:
0.56/0.85	       mforall_indset(^[Phi:((mu * $i) > $o)]: mimplies(positive(Phi),Phi(X)))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [defD1, '1', '3'])).
0.56/0.85	tff('5', plain,
0.56/0.85	    god =
0.56/0.85	    (^[V_1:mu]:
0.56/0.85	       mforall_indset(^[V_2:((mu * $i) > $o)]:
0.56/0.85	                        mimplies(positive(V_2),V_2(V_1)))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(mvalid, axiom, mvalid() = ^[Phi:(($i > $o))]: (![W]: Phi(W))).
0.56/0.85	tff('6', plain, mvalid = (^[Phi:(($i > $o))]: (![W]: Phi(W))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mvalid])).
0.56/0.85	tff('7', plain, mvalid = (^[V_1:(($i > $o))]: (![X4]: V_1(X4))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(mbox, axiom, mbox() = mbox_generic(rel)).
0.56/0.85	tff(mbox_generic, axiom, mbox_generic() =
0.56/0.85	  ^[R:(($i * $i) > $o),Phi:(($i > $o)),W]: (![V]: (Phi(V) | (~R(W,V))))).
0.56/0.85	tff('8', plain,
0.56/0.85	    mbox_generic =
0.56/0.85	    (^[R:(($i * $i) > $o),Phi:(($i > $o)),W]: (![V]: (Phi(V) | (~R(W,V))))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mbox_generic])).
0.56/0.85	tff('9', plain,
0.56/0.85	    mbox_generic =
0.56/0.85	    (^[V_1:(($i * $i) > $o),V_2:(($i > $o)),V_3]:
0.56/0.85	       (![X4]: (V_2(X4) | (~V_1(V_3,X4))))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff('10', plain, mbox = mbox_generic(rel),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mbox, '9'])).
0.56/0.85	tff('11', plain, mbox = mbox_generic(rel), define([status(thm)])).
0.56/0.85	tff(mexists_ind, axiom, mexists_ind() =
0.56/0.85	  ^[Phi:((mu * $i) > $o),W]: (?[X:mu]: Phi(X,W))).
0.56/0.85	tff('12', plain,
0.56/0.85	    mexists_ind = (^[Phi:((mu * $i) > $o),W]: (?[X:mu]: Phi(X,W))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mexists_ind])).
0.56/0.85	tff('13', plain,
0.56/0.85	    mexists_ind = (^[V_1:((mu * $i) > $o),V_2]: (?[X4:mu]: V_1(X4,V_2))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(thmT3, conjecture, (mvalid(mbox(mexists_ind(^[X:mu]: god(X)))))).
0.56/0.85	tff(zf_stmt_0, conjecture,
0.56/0.85	  (![X4,X6]:
0.56/0.85	     ((?[X8:mu]: (![X10:((mu * $i) > $o)]: (positive(X10,X6) => X10(X8,X6)))) | 
0.56/0.85	      (~rel(X4,X6))))).
0.56/0.85	tff(zf_stmt_1, negated_conjecture,
0.56/0.85	  (~
0.56/0.85	    (![X4,X6]:
0.56/0.85	       ((?[X8:mu]:
0.56/0.85	           (![X10:((mu * $i) > $o)]: (positive(X10,X6) => X10(X8,X6)))) | 
0.56/0.85	        (~rel(X4,X6)))))).
0.56/0.85	tff('14', plain, ![X68 : mu]:  positive(sk_X10(X68), sk_X6),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.56/0.85	tff(mforall_ind, axiom, mforall_ind() =
0.56/0.85	  ^[Phi:((mu * $i) > $o),W]: (![X:mu]: Phi(X,W))).
0.56/0.85	tff('15', plain,
0.56/0.85	    mforall_ind = (^[Phi:((mu * $i) > $o),W]: (![X:mu]: Phi(X,W))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mforall_ind])).
0.56/0.85	tff('16', plain,
0.56/0.85	    mforall_ind = (^[V_1:((mu * $i) > $o),V_2]: (![X4:mu]: V_1(X4,V_2))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(thmT2, axiom,
0.56/0.85	  (mvalid(mforall_ind(^[X:mu]: mimplies(god(X),essence(god,X)))))).
0.56/0.85	tff(zf_stmt_2, axiom,
0.56/0.85	  (![X4,X6:mu]:
0.56/0.85	     ((![X8:((mu * $i) > $o)]: (positive(X8,X4) => X8(X6,X4))) =>
0.56/0.85	      essence(^[V_1:mu,V_2]:
0.56/0.85	                (![X10:((mu * $i) > $o)]: (positive(X10,V_2) => X10(V_1,V_2))),
0.56/0.85	              X6,X4)))).
0.56/0.85	tff('17', plain,
0.56/0.85	    ![X72 : mu, X73]:
0.56/0.85	      ( essence(
0.56/0.85	          (^[Y0 : mu,Y1 : $i]:
0.56/0.85	             (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1)))))), 
0.56/0.85	          X72, X73)
0.56/0.85	       |  positive(sk_X8_1(X72, X73), X73)),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.56/0.85	tff(mdia, axiom, mdia() = mdia_generic(rel)).
0.56/0.85	tff(mdia_generic, axiom, mdia_generic() =
0.56/0.85	  ^[R:(($i * $i) > $o),Phi:(($i > $o)),W]: (?[V]: (Phi(V) & R(W,V)))).
0.56/0.85	tff('18', plain,
0.56/0.85	    mdia_generic =
0.56/0.85	    (^[R:(($i * $i) > $o),Phi:(($i > $o)),W]: (?[V]: (Phi(V) & R(W,V)))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mdia_generic])).
0.56/0.85	tff('19', plain,
0.56/0.85	    mdia_generic =
0.56/0.85	    (^[V_1:(($i * $i) > $o),V_2:(($i > $o)),V_3]:
0.56/0.85	       (?[X4]: (V_2(X4) & V_1(V_3,X4)))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff('20', plain, mdia = mdia_generic(rel),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [mdia, '19'])).
0.56/0.85	tff('21', plain, mdia = mdia_generic(rel), define([status(thm)])).
0.56/0.85	tff(corC, axiom, (mvalid(mdia(mexists_ind(^[X:mu]: god(X)))))).
0.56/0.85	tff(zf_stmt_3, axiom,
0.56/0.85	  (![X4]:
0.56/0.85	     (?[X6]:
0.56/0.85	        ((?[X8:mu]:
0.56/0.85	            (![X10:((mu * $i) > $o)]: (positive(X10,X6) => X10(X8,X6)))) & 
0.56/0.85	         rel(X4,X6))))).
0.56/0.85	tff('22', plain,
0.56/0.85	    ![X70, X71 : (mu * $i) > $o]:
0.56/0.85	      ( X71(sk_X8(X70), sk_X6_1(X70)) | ~ positive(X71, sk_X6_1(X70))),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.56/0.85	tff('23', plain,
0.56/0.85	    ![X0, X1 : mu]:
0.56/0.85	      ( essence(
0.56/0.85	          (^[Y0 : mu,Y1 : $i]:
0.56/0.85	             (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1)))))), 
0.56/0.85	          X1, sk_X6_1(X0))
0.56/0.85	       |  sk_X8_1(X1, sk_X6_1(X0), sk_X8(X0), sk_X6_1(X0))),
0.56/0.85	    inference('sup-', [status(thm)], ['17', '22'])).
0.56/0.85	tff('24', plain,
0.56/0.85	    ![X72 : mu, X73]:
0.56/0.85	      ( essence(
0.56/0.85	          (^[Y0 : mu,Y1 : $i]:
0.56/0.85	             (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1)))))), 
0.56/0.85	          X72, X73)
0.56/0.85	       | ~ sk_X8_1(X72, X73, X72, X73)),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.56/0.85	tff('25', plain,
0.56/0.85	    ![X0]:
0.56/0.85	      ( essence(
0.56/0.85	          (^[Y0 : mu,Y1 : $i]:
0.56/0.85	             (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1)))))), 
0.56/0.85	          sk_X8(X0), sk_X6_1(X0))
0.56/0.85	       |  essence(
0.56/0.85	            (^[Y0 : mu,Y1 : $i]:
0.56/0.85	               (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1)))))), 
0.56/0.85	            sk_X8(X0), sk_X6_1(X0))),
0.56/0.85	    inference('sup-', [status(thm)], ['23', '24'])).
0.56/0.85	tff('26', plain,
0.56/0.85	    ![X0]:
0.56/0.85	       essence(
0.56/0.85	         (^[Y0 : mu,Y1 : $i]:
0.56/0.85	            (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1)))))), 
0.56/0.85	         sk_X8(X0), sk_X6_1(X0)),
0.56/0.85	    inference('simplify', [status(thm)], ['25'])).
0.56/0.85	tff('27', plain, ![X70]:  rel(X70, sk_X6_1(X70)),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.56/0.85	tff(msymmetric, axiom, msymmetric() =
0.56/0.85	  ^[R:(($i * $i) > $o)]: (![S,T]: (R(S,T) => R(T,S)))).
0.56/0.85	tff('28', plain,
0.56/0.85	    msymmetric = (^[R:(($i * $i) > $o)]: (![S,T]: (R(S,T) => R(T,S)))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)], [msymmetric])).
0.56/0.85	tff('29', plain,
0.56/0.85	    msymmetric =
0.56/0.85	    (^[V_1:(($i * $i) > $o)]: (![X4,X6]: (V_1(X4,X6) => V_1(X6,X4)))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(sym, axiom, (msymmetric(rel))).
0.56/0.85	tff(zf_stmt_4, axiom, (![X4,X6]: (rel(X4,X6) => rel(X6,X4)))).
0.56/0.85	tff('30', plain, ![X62, X63]: ( rel(X62, X63) | ~ rel(X63, X62)),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.56/0.85	tff('31', plain, ![X0]:  rel(sk_X6_1(X0), X0),
0.56/0.85	    inference('sup-', [status(thm)], ['27', '30'])).
0.56/0.85	tff(defD3, axiom, necessary_existence() =
0.56/0.85	  ^[X:mu]:
0.56/0.85	    mforall_indset(^[Phi:((mu * $i) > $o)]:
0.56/0.85	                     mimplies(essence(Phi,X),
0.56/0.85	                              mbox(mexists_ind(^[Y:mu]: Phi(Y)))))).
0.56/0.85	tff('32', plain,
0.56/0.85	    necessary_existence =
0.56/0.85	    (^[X:mu]:
0.56/0.85	       mforall_indset(^[Phi:((mu * $i) > $o)]:
0.56/0.85	                        mimplies(essence(Phi,X),
0.56/0.85	                                 mbox(mexists_ind(^[Y:mu]: Phi(Y)))))),
0.56/0.85	    inference('simplify_rw_rule', [status(thm)],
0.56/0.85	              [defD3, '11', '9', '13', '1', '3'])).
0.56/0.85	tff('33', plain,
0.56/0.85	    necessary_existence =
0.56/0.85	    (^[V_1:mu]:
0.56/0.85	       mforall_indset(^[V_2:((mu * $i) > $o)]:
0.56/0.85	                        mimplies(essence(V_2,V_1),
0.56/0.85	                                 mbox(mexists_ind(^[V_3:mu]: V_2(V_3)))))),
0.56/0.85	    define([status(thm)])).
0.56/0.85	tff(axA5, axiom, (mvalid(positive(necessary_existence)))).
0.56/0.85	tff(zf_stmt_5, axiom,
0.56/0.85	  (![X4]:
0.56/0.85	     positive(^[V_1:mu,V_2]:
0.56/0.85	                (![X6:((mu * $i) > $o)]:
0.56/0.85	                   (essence(X6,V_1,V_2) =>
0.56/0.85	                    (![X8]: ((~rel(V_2,X8)) | (?[X10:mu]: X6(X10,X8)))))),
0.56/0.85	              X4))).
0.56/0.85	tff('34', plain,
0.56/0.85	    ![X69]:
0.56/0.85	       positive(
0.56/0.85	         (^[Y0 : mu,Y1 : $i]:
0.56/0.85	            (!!((^[Y2 : (mu * $i) > $o]:
0.56/0.85	                   (essence(Y2, Y0, Y1) =>
0.56/0.85	                    (!!((^[Y3 : $i]:
0.56/0.85	                           ((~(rel(Y1, Y3))) | (??((^[Y4 : mu]: Y2(Y4, Y3))))))))))))), 
0.56/0.85	         X69),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.56/0.85	tff('35', plain,
0.56/0.85	    ![X70, X71 : (mu * $i) > $o]:
0.56/0.85	      ( X71(sk_X8(X70), sk_X6_1(X70)) | ~ positive(X71, sk_X6_1(X70))),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.56/0.85	tff('36', plain,
0.56/0.85	    ![X0]:
0.56/0.85	       (^[Y0 : mu,Y1 : $i]:
0.56/0.85	          (!!((^[Y2 : (mu * $i) > $o]:
0.56/0.85	                 (essence(Y2, Y0, Y1) =>
0.56/0.85	                  (!!((^[Y3 : $i]:
0.56/0.85	                         ((~(rel(Y1, Y3))) | (??((^[Y4 : mu]: Y2(Y4, Y3)))))))))))))(
0.56/0.85	         sk_X8(X0), sk_X6_1(X0)),
0.56/0.85	    inference('sup-', [status(thm)], ['34', '35'])).
0.56/0.85	tff('37', plain,
0.56/0.85	    ![X0]:
0.56/0.85	       (!!((^[Y0 : (mu * $i) > $o]:
0.56/0.85	              (essence(Y0, sk_X8(X0), sk_X6_1(X0)) =>
0.56/0.85	               (!!((^[Y1 : $i]:
0.56/0.85	                      ((~(rel(sk_X6_1(X0), Y1))) |
0.56/0.85	                       (??((^[Y2 : mu]: Y0(Y2, Y1)))))))))))),
0.56/0.85	    inference('ho_norm', [status(thm)], ['36'])).
0.56/0.85	tff('38', plain,
0.56/0.85	    ![X0 : (mu * $i) > $o, X1, X2]:
0.56/0.85	      ( X0(sk_X8_3(X1, X0), X1)
0.56/0.85	       | ~ rel(sk_X6_1(X2), X1)
0.56/0.85	       | ~ essence(X0, sk_X8(X2), sk_X6_1(X2))),
0.56/0.85	    inference('cnf_otf', [status(thm)], ['37'])).
0.56/0.85	tff('39', plain,
0.56/0.85	    ![X0, X1 : (mu * $i) > $o]:
0.56/0.85	      (~ essence(X1, sk_X8(X0), sk_X6_1(X0)) |  X1(sk_X8_3(X0, X1), X0)),
0.56/0.85	    inference('sup-', [status(thm)], ['31', '38'])).
0.56/0.85	tff('40', plain,
0.56/0.85	    ![X0]:
0.56/0.85	       (^[Y0 : mu,Y1 : $i]:
0.56/0.85	          (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1))))))(
0.56/0.85	         sk_X8_3(X0, 
0.56/0.85	           (^[Y0 : mu,Y1 : $i]:
0.56/0.85	              (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1))))))), 
0.56/0.85	         X0),
0.56/0.85	    inference('sup-', [status(thm)], ['26', '39'])).
0.56/0.85	tff('41', plain,
0.56/0.85	    ![X0]:
0.56/0.85	       (!!((^[Y0 : (mu * $i) > $o]:
0.56/0.85	              (positive(Y0, X0) =>
0.56/0.85	               Y0(
0.56/0.85	                 sk_X8_3(X0, 
0.56/0.85	                   (^[Y1 : mu,Y2 : $i]:
0.56/0.85	                      (!!((^[Y3 : (mu * $i) > $o]:
0.56/0.85	                             (positive(Y3, Y2) => Y3(Y1, Y2))))))), X0))))),
0.56/0.85	    inference('ho_norm', [status(thm)], ['40'])).
0.56/0.85	tff('42', plain,
0.56/0.85	    ![X0 : (mu * $i) > $o, X1]:
0.56/0.85	      ( X0(
0.56/0.85	          sk_X8_3(X1, 
0.56/0.85	            (^[Y0 : mu,Y1 : $i]:
0.56/0.85	               (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1))))))), 
0.56/0.85	          X1)
0.56/0.85	       | ~ positive(X0, X1)),
0.56/0.85	    inference('cnf_otf', [status(thm)], ['41'])).
0.56/0.85	tff('43', plain,
0.56/0.85	    ![X0 : mu]:
0.56/0.85	       sk_X10(X0, 
0.56/0.85	         sk_X8_3(sk_X6, 
0.56/0.85	           (^[Y0 : mu,Y1 : $i]:
0.56/0.85	              (!!((^[Y2 : (mu * $i) > $o]: (positive(Y2, Y1) => Y2(Y0, Y1))))))), 
0.56/0.85	         sk_X6),
0.56/0.85	    inference('sup-', [status(thm)], ['14', '42'])).
0.56/0.85	tff('44', plain, ![X68 : mu]: ~ sk_X10(X68, X68, sk_X6),
0.56/0.85	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.56/0.85	tff('45', plain, $false, inference('sup-', [status(thm)], ['43', '44'])).
0.56/0.85	
0.56/0.85	% SZS output end Refutation
0.56/0.85	
0.56/0.85	
0.56/0.85	% Terminating...
0.61/0.95	% Runner terminated.
0.61/0.96	% Zipperpin 1.5 exiting
0.61/0.97	EOF