0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.nBrLD7NZ3a 0.14/0.35 % Computer : n021.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 16:25:04 EDT 2019 0.14/0.35 % CPUTime : 43.24/43.59 % Running portfolio for 180 s 43.24/43.59 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 43.24/43.59 % TempDir : /export/starexec/sandbox2/tmp/tmp.nBrLD7NZ3a 43.24/43.59 % Recognized as monomorphic HO. 43.24/43.59 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 43.24/43.59 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.sh for 43 43.24/43.59 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.1.sh for 32 43.24/43.59 % Solved by: pragmatic.bools.1.sh 43.24/43.59 % done 8 iterations in 0.099s 43.24/43.59 % hashcons stats for terms: size 4096, num 832, sum length 11019, buckets: small 0, median 3, big 7 43.24/43.59 % proof state stats: {active 7, passive 16, simpl 0} 43.24/43.59 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 43.24/43.59 % SZS output start Refutation 43.24/43.59 tff(cTHM33_pme, conjecture, 43.24/43.59 (?[F:((a * (a * a) > a) > a)]: 43.24/43.59 ((![Xx:a,Xy:a]: ((F(Xx) = F(Xy)) => (Xx = Xy))) & 43.24/43.59 (![X:a]: (?[Y:a,Z:a]: (![G:((a * a) > a)]: (F(X,G) = G(X,Y)))))))). 43.24/43.59 tff(zf_stmt_0, negated_conjecture, 43.24/43.59 (~ 43.24/43.59 (?[F:((a * (a * a) > a) > a)]: 43.24/43.59 ((![Xx:a,Xy:a]: ((F(Xx) = F(Xy)) => (Xx = Xy))) & 43.24/43.59 (![X:a]: (?[Y:a,Z:a]: (![G:((a * a) > a)]: (F(X,G) = G(X,Y))))))))). 43.24/43.59 tff('0', plain, 43.24/43.59 ![X0 : (a * (a * a) > a) > a, X1 : a]: 43.24/43.59 (X0(sk_Xx_(X0)) = X0(sk_Xy_(X0)) 43.24/43.59 | X0(sk_X_(X0), sk_G_(X1, X0)) != sk_G_(X1, X0, sk_X_(X0), X1)), 43.24/43.59 inference('cnf', [status(esa)], [zf_stmt_0])). 43.24/43.59 tff('1', plain, 43.24/43.59 ![X0 : a > a]: 43.24/43.59 (^[Y0 : a,Y1 : (a * a) > a]: 43.24/43.59 Y1((^[Y2 : a,Y3 : (a * a) > a]: Y2)(Y0, Y1), 43.24/43.59 (^[Y2 : a,Y3 : (a * a) > a]: X0(Y2))(Y0, Y1)))( 43.24/43.59 sk_Xx_( 43.24/43.59 (^[Y0 : a,Y1 : (a * a) > a]: 43.24/43.59 Y1((^[Y2 : a,Y3 : (a * a) > a]: Y2)(Y0, Y1), 43.24/43.59 (^[Y2 : a,Y3 : (a * a) > a]: X0(Y2))(Y0, Y1))))) 43.24/43.59 = (^[Y0 : a,Y1 : (a * a) > a]: 43.24/43.59 Y1((^[Y2 : a,Y3 : (a * a) > a]: Y2)(Y0, Y1), 43.24/43.59 (^[Y2 : a,Y3 : (a * a) > a]: X0(Y2))(Y0, Y1)))( 43.24/43.59 sk_Xy_( 43.24/43.59 (^[Y0 : a,Y1 : (a * a) > a]: 43.24/43.59 Y1((^[Y2 : a,Y3 : (a * a) > a]: Y2)(Y0, Y1), 43.24/43.59 (^[Y2 : a,Y3 : (a * a) > a]: X0(Y2))(Y0, Y1))))), 43.24/43.59 inference('eq_res', [status(thm)], ['0'])). 43.24/43.59 tff('2', plain, 43.24/43.59 ![X0 : a > a]: 43.24/43.59 (^[Y0 : (a * a) > a]: 43.24/43.59 Y0(sk_Xx_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1)))), 43.24/43.59 X0(sk_Xx_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1))))))) 43.24/43.59 = (^[Y0 : (a * a) > a]: 43.24/43.59 Y0(sk_Xy_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1)))), 43.24/43.59 X0(sk_Xy_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1))))))), 43.24/43.59 inference('lambda-normalize', [status(thm)], ['1'])). 43.24/43.59 tff('3', plain, 43.24/43.59 ![X0 : a > a, X1 : (a * a) > a]: 43.24/43.59 (^[Y0 : (a * a) > a]: 43.24/43.59 Y0(sk_Xx_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1)))), 43.24/43.59 X0(sk_Xx_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1)))))))(X1) 43.24/43.59 = (^[Y0 : (a * a) > a]: 43.24/43.59 Y0(sk_Xy_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1)))), 43.24/43.59 X0(sk_Xy_((^[Y1 : a,Y2 : (a * a) > a]: Y2(Y1, X0(Y1)))))))(X1), 43.24/43.59 inference('ho_complete_eq', [status(thm)], ['2'])). 43.24/43.59 tff('4', plain, 43.24/43.59 ![X0 : a > a, X1 : (a * a) > a]: 43.24/43.59 X1(sk_Xx_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))), 43.24/43.59 X0(sk_Xx_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))))) 43.24/43.59 = X1(sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))), 43.24/43.59 X0(sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))))), 43.24/43.59 inference('lambda-normalize', [status(thm)], ['3'])). 43.24/43.59 tff('5', plain, 43.24/43.59 ![X0 : a > a, X1 : a > a]: 43.24/43.59 (^[Y0 : a,Y1 : a]: X1(Y0))( 43.24/43.59 sk_Xx_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))), 43.24/43.59 X0(sk_Xx_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))))) 43.24/43.59 = (^[Y0 : a,Y1 : a]: X1(Y0))( 43.24/43.59 sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))), 43.24/43.59 X0(sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))))), 43.24/43.59 inference('prune_arg_fun', [status(thm)], ['4'])). 43.24/43.59 tff('6', plain, 43.24/43.59 ![X0 : a > a, X1 : a > a]: 43.24/43.59 X1(sk_Xx_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0))))) 43.24/43.59 = X1(sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0))))), 43.24/43.59 inference('lambda-normalize', [status(thm)], ['5'])). 43.24/43.59 tff('7', plain, 43.24/43.59 ![X0 : (a * (a * a) > a) > a, X1 : a]: 43.24/43.59 (sk_Xx_(X0) != sk_Xy_(X0) 43.24/43.59 | X0(sk_X_(X0), sk_G_(X1, X0)) != sk_G_(X1, X0, sk_X_(X0), X1)), 43.24/43.59 inference('cnf', [status(esa)], [zf_stmt_0])). 43.24/43.59 tff('8', plain, 43.24/43.59 ![X0 : a > a]: 43.24/43.59 sk_Xx_( 43.24/43.59 (^[Y0 : a,Y1 : (a * a) > a]: 43.24/43.59 Y1((^[Y2 : a,Y3 : (a * a) > a]: Y2)(Y0, Y1), 43.24/43.59 (^[Y2 : a,Y3 : (a * a) > a]: X0(Y2))(Y0, Y1)))) 43.24/43.59 != sk_Xy_( 43.24/43.59 (^[Y0 : a,Y1 : (a * a) > a]: 43.24/43.59 Y1((^[Y2 : a,Y3 : (a * a) > a]: Y2)(Y0, Y1), 43.24/43.59 (^[Y2 : a,Y3 : (a * a) > a]: X0(Y2))(Y0, Y1)))), 43.24/43.59 inference('eq_res', [status(thm)], ['7'])). 43.24/43.59 tff('9', plain, 43.24/43.59 ![X0 : a > a]: 43.24/43.59 sk_Xx_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))) 43.24/43.59 != sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))), 43.24/43.59 inference('lambda-normalize', [status(thm)], ['8'])). 43.24/43.59 tff('10', plain, 43.24/43.59 ![X0 : a > a]: 43.24/43.59 (^[Y0 : a]: Y0)( 43.24/43.59 sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, (^[Y2 : a]: X0(Y2))(Y0))))) 43.24/43.59 != sk_Xy_( 43.24/43.59 (^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, (^[Y2 : a]: X0(Y2))(Y0)))), 43.24/43.59 inference('sup-', [status(thm)], ['6', '9'])). 43.24/43.59 tff('11', plain, 43.24/43.59 ![X0 : a > a]: 43.24/43.59 sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))) 43.24/43.59 != sk_Xy_((^[Y0 : a,Y1 : (a * a) > a]: Y1(Y0, X0(Y0)))), 43.24/43.59 inference('lambda-normalize', [status(thm)], ['10'])). 43.24/43.59 tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])). 43.24/43.59 43.24/43.59 % SZS output end Refutation 43.24/43.59 % Zipperpin 1.5 exiting 43.24/43.59 EOF