0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.e4gWBewSSf
0.13/0.34	% Computer   : n007.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   : 180
0.13/0.34	% DateTime   : Thu Aug 29 15:18:36 EDT 2019
0.13/0.34	% CPUTime    : 
92.38/92.79	% Running portfolio for 180 s
92.38/92.79	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
92.38/92.79	% TempDir      : /export/starexec/sandbox/tmp/tmp.e4gWBewSSf
92.38/92.79	% Recognized as monomorphic HO.
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/competitive.sh for 18
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3
92.38/92.79	% Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 15
92.38/92.79	% Solved by: pragmatic.shallow.1.sh
92.38/92.79	% done 1193 iterations in 8.584s
92.38/92.79	% hashcons stats for terms: size 13837, num 76771, sum length 122733, buckets: small 3, median 7, big 22
92.38/92.79	% proof state stats: {active 435, passive 9874, simpl 0}
92.38/92.79	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
92.38/92.79	% SZS output start Refutation
92.38/92.79	tff(hoasinduction_lem3v2a_lthm, axiom, hoasinduction_lem3v2a_lthm <=>
92.38/92.79	  (hoasinduction_lem3v2_f =>
92.38/92.79	   (axvarid => (axvarshift => (axclos => (axmap => hoasinduction_lem3v2a)))))).
92.38/92.79	tff('0', plain,
92.38/92.79	    hoasinduction_lem3v2a_lthm =
92.38/92.79	    (hoasinduction_lem3v2_f =>
92.38/92.79	     (axvarid => (axvarshift => (axclos => (axmap => hoasinduction_lem3v2a))))),
92.38/92.79	    define([status(thm)])).
92.38/92.79	tff(hoasinduction_lem3v2a, axiom, hoasinduction_lem3v2a <=>
92.38/92.79	  (![P:((subst * term * subst) > $o),Q:(term > $o)]:
92.38/92.79	     ((![F:((subst * term) > term)]:
92.38/92.79	         ((![M:subst,A:term,N:subst]: (sub(F(M,A),N) = F(comp(M,N),sub(A,N)))) =>
92.38/92.79	          ((![A:term]: (P(id,A,id) => P(id,F(id,A),id))) =>
92.38/92.79	           P(id,hoaslam(id,^[M:subst,A:term]: F(M,A)),id)))) =>
92.38/92.79	      (hoasinduction_p_and_p_prime(P,Q) =>
92.38/92.79	       (![A:term]: ((![B:term]: (Q(B) => Q(sub(A,push(B,id))))) => Q(lam(A)))))))).
92.38/92.79	tff('1', plain,
92.38/92.79	    hoasinduction_lem3v2a =
92.38/92.79	    (![X2:((subst * term * subst) > $o),X3:(term > $o)]:
92.38/92.80	       ((![X4:((subst * term) > term)]:
92.38/92.80	           ((![X5:subst,X6:term,X7:subst]:
92.38/92.80	               (sub(X4(X5,X6),X7) = X4(comp(X5,X7),sub(X6,X7)))) =>
92.38/92.80	            ((![X8:term]: (X2(id,X8,id) => X2(id,X4(id,X8),id))) =>
92.38/92.80	             X2(id,hoaslam(id,^[V_1:subst,V_2:term]: X4(V_1,V_2)),id)))) =>
92.38/92.80	        (hoasinduction_p_and_p_prime(X2,X3) =>
92.38/92.80	         (![X9:term]:
92.38/92.80	            ((![X10:term]: (X3(X10) => X3(sub(X9,push(X10,id))))) =>
92.38/92.80	             X3(lam(X9))))))),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(hoasinduction_lem3v2_f, axiom, hoasinduction_lem3v2_f <=>
92.38/92.80	  (![B:term]:
92.38/92.80	     (?[F:((subst * term) > term)]:
92.38/92.80	        (![A:term,M:subst]: (F(M,A) = sub(B,push(A,M))))))).
92.38/92.80	tff('2', plain,
92.38/92.80	    hoasinduction_lem3v2_f =
92.38/92.80	    (![X2:term]:
92.38/92.80	       (?[X3:((subst * term) > term)]:
92.38/92.80	          (![X4:term,X5:subst]: (X3(X5,X4) = sub(X2,push(X4,X5)))))),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(hoasinduction_p_and_p_prime, axiom, hoasinduction_p_and_p_prime() =
92.38/92.80	  ^[P:((subst * term * subst) > $o),Q:(term > $o)]:
92.38/92.80	    (![X:term]: (Q(X) <=> P(id,X,id)))).
92.38/92.80	tff('3', plain,
92.38/92.80	    hoasinduction_p_and_p_prime =
92.38/92.80	    (^[V_1:((subst * term * subst) > $o),V_2:(term > $o)]:
92.38/92.80	       (![X2:term]: (V_2(X2) <=> V_1(id,X2,id)))),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(hoaslam, axiom, hoaslam() =
92.38/92.80	  ^[M:subst,F:((subst * term) > term)]: lam(F(sh,one))).
92.38/92.80	tff('4', plain,
92.38/92.80	    hoaslam = (^[V_1:subst,V_2:((subst * term) > term)]: lam(V_2(sh,one))),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(axvarshift, axiom, axvarshift <=> (push(one,sh) = id)).
92.38/92.80	tff('5', plain, axvarshift = (push(one,sh) = id), define([status(thm)])).
92.38/92.80	tff(axmap, axiom, axmap <=>
92.38/92.80	  (![A:term,M:subst,N:subst]: (comp(push(A,M),N) = push(sub(A,N),comp(M,N))))).
92.38/92.80	tff('6', plain,
92.38/92.80	    axmap =
92.38/92.80	    (![X2:term,X3:subst,X4:subst]:
92.38/92.80	       (comp(push(X2,X3),X4) = push(sub(X2,X4),comp(X3,X4)))),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(axclos, axiom, axclos <=>
92.38/92.80	  (![A:term,M:subst,N:subst]: (sub(sub(A,M),N) = sub(A,comp(M,N))))).
92.38/92.80	tff('7', plain,
92.38/92.80	    axclos =
92.38/92.80	    (![X2:term,X3:subst,X4:subst]: (sub(sub(X2,X3),X4) = sub(X2,comp(X3,X4)))),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(axvarid, axiom, axvarid <=> (![A:term]: (sub(A,id) = A))).
92.38/92.80	tff('8', plain, axvarid = (![X2:term]: (sub(X2,id) = X2)),
92.38/92.80	    define([status(thm)])).
92.38/92.80	tff(thm, conjecture, (hoasinduction_lem3v2a_lthm)).
92.38/92.80	tff(zf_stmt_0, conjecture,
92.38/92.80	  ((![X2:term]:
92.38/92.80	      (?[X3:((subst * term) > term)]:
92.38/92.80	         (![X4:term,X5:subst]: (X3(X5,X4) = sub(X2,push(X4,X5)))))) =>
92.38/92.80	   ((![X6:term]: (sub(X6,id) = X6)) =>
92.38/92.80	    ((push(one,sh) = id) =>
92.38/92.80	     ((![X7:term,X8:subst,X9:subst]:
92.38/92.80	         (sub(sub(X7,X8),X9) = sub(X7,comp(X8,X9)))) =>
92.38/92.80	      ((![X10:term,X11:subst,X12:subst]:
92.38/92.80	          (comp(push(X10,X11),X12) = push(sub(X10,X12),comp(X11,X12)))) =>
92.38/92.80	       (![X13:((subst * term * subst) > $o),X14:(term > $o)]:
92.38/92.80	          ((![X15:((subst * term) > term)]:
92.38/92.80	              ((![X16:subst,X17:term,X18:subst]:
92.38/92.80	                  (sub(X15(X16,X17),X18) = X15(comp(X16,X18),sub(X17,X18)))) =>
92.38/92.80	               ((![X19:term]: (X13(id,X19,id) => X13(id,X15(id,X19),id))) =>
92.38/92.80	                X13(id,lam(X15(sh,one)),id)))) =>
92.38/92.80	           ((![X20:term]: (X14(X20) <=> X13(id,X20,id))) =>
92.38/92.80	            (![X21:term]:
92.38/92.80	               ((![X22:term]: (X14(X22) => X14(sub(X21,push(X22,id))))) =>
92.38/92.80	                X14(lam(X21))))))))))))).
92.38/92.80	tff(zf_stmt_1, negated_conjecture,
92.38/92.80	  (~
92.38/92.80	    ((![X2:term]:
92.38/92.80	        (?[X3:((subst * term) > term)]:
92.38/92.80	           (![X4:term,X5:subst]: (X3(X5,X4) = sub(X2,push(X4,X5)))))) =>
92.38/92.80	     ((![X6:term]: (sub(X6,id) = X6)) =>
92.38/92.80	      ((push(one,sh) = id) =>
92.38/92.80	       ((![X7:term,X8:subst,X9:subst]:
92.38/92.80	           (sub(sub(X7,X8),X9) = sub(X7,comp(X8,X9)))) =>
92.38/92.80	        ((![X10:term,X11:subst,X12:subst]:
92.38/92.80	            (comp(push(X10,X11),X12) = push(sub(X10,X12),comp(X11,X12)))) =>
92.38/92.80	         (![X13:((subst * term * subst) > $o),X14:(term > $o)]:
92.38/92.80	            ((![X15:((subst * term) > term)]:
92.38/92.80	                ((![X16:subst,X17:term,X18:subst]:
92.38/92.80	                    (sub(X15(X16,X17),X18) = X15(comp(X16,X18),sub(X17,X18)))) =>
92.38/92.80	                 ((![X19:term]: (X13(id,X19,id) => X13(id,X15(id,X19),id))) =>
92.38/92.80	                  X13(id,lam(X15(sh,one)),id)))) =>
92.38/92.80	             ((![X20:term]: (X14(X20) <=> X13(id,X20,id))) =>
92.38/92.80	              (![X21:term]:
92.38/92.80	                 ((![X22:term]: (X14(X22) => X14(sub(X21,push(X22,id))))) =>
92.38/92.80	                  X14(lam(X21)))))))))))))).
92.38/92.80	tff('9', plain, push(one, sh) = id,
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('10', plain,
92.38/92.80	    ![X306 : term, X307 : term, X308 : subst]:
92.38/92.80	      sk_X3_(X306, X308, X307) = sub(X306, push(X307, X308)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('11', plain, ![X0 : term]: sk_X3_(X0, sh, one) = sub(X0, id),
92.38/92.80	    inference('sup+', [status(thm)], ['9', '10'])).
92.38/92.80	tff('12', plain, ![X319 : term]: sub(X319, id) = X319,
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('13', plain, ![X0 : term]: sk_X3_(X0, sh, one) = X0,
92.38/92.80	    inference('sup+', [status(thm)], ['11', '12'])).
92.38/92.80	tff('14', plain,
92.38/92.80	    ![X309 : term, X310 : subst, X311 : subst]:
92.38/92.80	      comp(push(X309, X311), X310) = push(sub(X309, X310), comp(X311, X310)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('15', plain,
92.38/92.80	    ![X0 : subst, X1 : subst, X2 : term, X3 : term]:
92.38/92.80	      sk_X3_(X3, comp(X1, X0), sub(X2, X0)) = sub(X3, comp(push(X2, X1), X0)),
92.38/92.80	    inference('sup+', [status(thm)], ['14', '10'])).
92.38/92.80	tff('16', plain,
92.38/92.80	    ![X316 : term, X317 : subst, X318 : subst]:
92.38/92.80	      sub(sub(X316, X317), X318) = sub(X316, comp(X317, X318)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('17', plain,
92.38/92.80	    ![X0 : term, X1 : subst, X2 : term, X3 : subst]:
92.38/92.80	      sub(sk_X3_(X2, X1, X0), X3) = sub(X2, comp(push(X0, X1), X3)),
92.38/92.80	    inference('sup+', [status(thm)], ['10', '16'])).
92.38/92.80	tff('18', plain,
92.38/92.80	    ![X0 : subst, X1 : term, X2 : subst, X3 : term]:
92.38/92.80	      sub(sk_X3_(X3, X2, X1), X0) = sk_X3_(X3, comp(X2, X0), sub(X1, X0)),
92.38/92.80	    inference('sup+', [status(thm)], ['15', '17'])).
92.38/92.80	tff('19', plain,
92.38/92.80	    ![X312 : (subst * term) > term]:
92.38/92.80	      (sk_X13_(id, sk_X19_(X312), id)
92.38/92.80	       | sk_X13_(id, lam(X312(sh, one)), id)
92.38/92.80	       | sub(X312(sk_X16_(X312), sk_X17_(X312)), sk_X18_(X312))
92.38/92.80	          != X312(comp(sk_X16_(X312), sk_X18_(X312)), 
92.38/92.80	               sub(sk_X17_(X312), sk_X18_(X312)))),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('20', plain,
92.38/92.80	    ![X0 : term]:
92.38/92.80	      (sub(sk_X3_(X0, sk_X16_(sk_X3_(X0)), sk_X17_(sk_X3_(X0))), 
92.38/92.80	         sk_X18_(sk_X3_(X0)))
92.38/92.80	        != sub(sk_X3_(X0, sk_X16_(sk_X3_(X0)), sk_X17_(sk_X3_(X0))), 
92.38/92.80	             sk_X18_(sk_X3_(X0)))
92.38/92.80	       | sk_X13_(id, lam(sk_X3_(X0, sh, one)), id)
92.38/92.80	       | sk_X13_(id, sk_X19_(sk_X3_(X0)), id)),
92.38/92.80	    inference('sup-', [status(thm)], ['18', '19'])).
92.38/92.80	tff('21', plain,
92.38/92.80	    ![X0 : term]:
92.38/92.80	      (sk_X13_(id, sk_X19_(sk_X3_(X0)), id)
92.38/92.80	       | sk_X13_(id, lam(sk_X3_(X0, sh, one)), id)),
92.38/92.80	    inference('simplify', [status(thm)], ['20'])).
92.38/92.80	tff('22', plain,
92.38/92.80	    ![X0 : term]:
92.38/92.80	      (sk_X13_(id, lam(X0), id) | sk_X13_(id, sk_X19_(sk_X3_(X0)), id)),
92.38/92.80	    inference('sup+', [status(thm)], ['13', '21'])).
92.38/92.80	tff('23', plain, ![X314 : term]: (sk_X14_(X314) | ~ sk_X13_(id, X314, id)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('24', plain,
92.38/92.80	    ![X0 : term]: (sk_X13_(id, sk_X19_(sk_X3_(X0)), id) | sk_X14_(lam(X0))),
92.38/92.80	    inference('sup-', [status(thm)], ['22', '23'])).
92.38/92.80	tff('25', plain,
92.38/92.80	    ![X0 : term]: (sk_X14_(lam(X0)) | sk_X14_(sk_X19_(sk_X3_(X0)))),
92.38/92.80	    inference('sup-', [status(thm)], ['24', '23'])).
92.38/92.80	tff('26', plain, ~ sk_X14_(lam(sk_X21_)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('27', plain, sk_X14_(sk_X19_(sk_X3_(sk_X21_))),
92.38/92.80	    inference('sup-', [status(thm)], ['25', '26'])).
92.38/92.80	tff('28', plain,
92.38/92.80	    ![X313 : term]: (sk_X14_(sub(sk_X21_, push(X313, id))) | ~ sk_X14_(X313)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('29', plain, sk_X14_(sub(sk_X21_, push(sk_X19_(sk_X3_(sk_X21_)), id))),
92.38/92.80	    inference('sup-', [status(thm)], ['27', '28'])).
92.38/92.80	tff('30', plain, sk_X14_(sk_X3_(sk_X21_, id, sk_X19_(sk_X3_(sk_X21_)))),
92.38/92.80	    inference('sup+', [status(thm)], ['10', '29'])).
92.38/92.80	tff('31', plain, ![X315 : term]: (sk_X13_(id, X315, id) | ~ sk_X14_(X315)),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('32', plain,
92.38/92.80	    sk_X13_(id, sk_X3_(sk_X21_, id, sk_X19_(sk_X3_(sk_X21_))), id),
92.38/92.80	    inference('sup-', [status(thm)], ['30', '31'])).
92.38/92.80	tff('33', plain,
92.38/92.80	    ![X312 : (subst * term) > term]:
92.38/92.80	      (~ sk_X13_(id, X312(id, sk_X19_(X312)), id)
92.38/92.80	       | sk_X13_(id, lam(X312(sh, one)), id)
92.38/92.80	       | sub(X312(sk_X16_(X312), sk_X17_(X312)), sk_X18_(X312))
92.38/92.80	          != X312(comp(sk_X16_(X312), sk_X18_(X312)), 
92.38/92.80	               sub(sk_X17_(X312), sk_X18_(X312)))),
92.38/92.80	    inference('cnf', [status(esa)], [zf_stmt_1])).
92.38/92.80	tff('34', plain,
92.38/92.80	    ![X0 : term]:
92.38/92.80	      (sub(sk_X3_(X0, sk_X16_(sk_X3_(X0)), sk_X17_(sk_X3_(X0))), 
92.38/92.80	         sk_X18_(sk_X3_(X0)))
92.38/92.80	        != sub(X0, 
92.38/92.80	             comp(push(sk_X17_(sk_X3_(X0)), sk_X16_(sk_X3_(X0))), 
92.38/92.80	               sk_X18_(sk_X3_(X0))))
92.38/92.80	       | sk_X13_(id, lam(sk_X3_(X0, sh, one)), id)
92.38/92.80	       | ~ sk_X13_(id, sk_X3_(X0, id, sk_X19_(sk_X3_(X0))), id)),
92.38/92.80	    inference('sup-', [status(thm)], ['15', '33'])).
92.38/92.80	tff('35', plain,
92.38/92.80	    ![X0 : term]:
92.38/92.80	      (~ sk_X13_(id, sk_X3_(X0, id, sk_X19_(sk_X3_(X0))), id)
92.38/92.80	       | sk_X13_(id, lam(sk_X3_(X0, sh, one)), id)),
92.38/92.80	    inference('clc', [status(thm)], ['34', '17'])).
92.38/92.80	tff('36', plain, sk_X13_(id, lam(sk_X3_(sk_X21_, sh, one)), id),
92.38/92.80	    inference('sup-', [status(thm)], ['32', '35'])).
92.38/92.80	tff('37', plain, sk_X13_(id, lam(sk_X21_), id),
92.38/92.80	    inference('sup+', [status(thm)], ['13', '36'])).
92.38/92.80	tff('38', plain, sk_X14_(lam(sk_X21_)),
92.38/92.80	    inference('sup-', [status(thm)], ['37', '23'])).
92.38/92.80	tff('39', plain, $false, inference('sup-', [status(thm)], ['38', '26'])).
92.38/92.80	
92.38/92.80	% SZS output end Refutation
92.38/92.80	% Zipperpin 1.5 exiting
92.38/92.80	EOF