0.10/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.OBx1Fzwgek 0.12/0.34 % Computer : n011.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 10:40:42 EDT 2019 0.12/0.34 % CPUTime : 23.96/24.20 % Running portfolio for 180 s 23.96/24.20 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 23.96/24.20 % TempDir : /export/starexec/sandbox/tmp/tmp.OBx1Fzwgek 23.96/24.20 % Recognized as monomorphic HO. 23.96/24.20 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 23.96/24.20 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 23.96/24.20 % Solved by: competitive.2.sh 23.96/24.20 % done 255 iterations in 5.783s 23.96/24.20 % hashcons stats for terms: size 4096, num 12515, sum length 33232, buckets: small 3, median 7, big 22 23.96/24.20 % proof state stats: {active 112, passive 962, simpl 0} 23.96/24.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 23.96/24.20 % SZS output start Refutation 23.96/24.20 tff(cSV9, conjecture, 23.96/24.20 (?[Xv:(($i * $i) > $o)]: (![Xx]: ((cB(Xx,Xx) | cA(Xx)) <=> Xv(Xx,c0))))). 23.96/24.20 tff(zf_stmt_0, negated_conjecture, 23.96/24.20 (~(?[Xv:(($i * $i) > $o)]: (![Xx]: ((cB(Xx,Xx) | cA(Xx)) <=> Xv(Xx,c0)))))). 23.96/24.20 tff('0', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (X0(sk_Xx_(X0), c0) | cA(sk_Xx_(X0)) | cB(sk_Xx_(X0), sk_Xx_(X0))), 23.96/24.20 inference('cnf', [status(esa)], [zf_stmt_0])). 23.96/24.20 tff('1', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 ((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))( 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0) 23.96/24.20 | cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1))))) 23.96/24.20 | cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))))), 23.96/24.20 inference('ho.refine', [status(thm)], ['0'])). 23.96/24.20 tff('2', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 ((X1(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0) | 23.96/24.20 X0(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0)) 23.96/24.20 | cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1))))) 23.96/24.20 | cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))))), 23.96/24.20 inference('lambda-normalize', [status(thm)], ['1'])). 23.96/24.20 tff('3', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 (cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1))))) 23.96/24.20 | cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1))))) 23.96/24.20 | X1(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1)))), c0) 23.96/24.20 | X0(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1)))), c0)), 23.96/24.20 inference('cnf_otf', [status(thm)], ['2'])). 23.96/24.20 tff('4', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (X0( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 (X0(Y0, Y1) | 23.96/24.20 (^[Y2 : $i,Y3 : $i]: 23.96/24.20 cB((^[Y4 : $i,Y5 : $i]: Y4)(Y2, Y3), 23.96/24.20 (^[Y4 : $i,Y5 : $i]: Y4)(Y2, Y3)))(Y0, Y1)))), c0) 23.96/24.20 | (^[Y0 : $i,Y1 : $i]: 23.96/24.20 cB((^[Y2 : $i,Y3 : $i]: Y2)(Y0, Y1), 23.96/24.20 (^[Y2 : $i,Y3 : $i]: Y2)(Y0, Y1)))( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 (X0(Y0, Y1) | 23.96/24.20 (^[Y2 : $i,Y3 : $i]: 23.96/24.20 cB((^[Y4 : $i,Y5 : $i]: Y4)(Y2, Y3), 23.96/24.20 (^[Y4 : $i,Y5 : $i]: Y4)(Y2, Y3)))(Y0, Y1)))), c0) 23.96/24.20 | cA( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 (X0(Y0, Y1) | 23.96/24.20 (^[Y2 : $i,Y3 : $i]: 23.96/24.20 cB((^[Y4 : $i,Y5 : $i]: Y4)(Y2, Y3), 23.96/24.20 (^[Y4 : $i,Y5 : $i]: Y4)(Y2, Y3)))(Y0, Y1)))))), 23.96/24.20 inference('eq_fact', [status(thm)], ['3'])). 23.96/24.20 tff('5', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (X0(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | cB(Y0, Y0)))), c0) 23.96/24.20 | cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | cB(Y0, Y0)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | cB(Y0, Y0))))) 23.96/24.20 | cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | cB(Y0, Y0)))))), 23.96/24.20 inference('lambda-normalize', [status(thm)], ['4'])). 23.96/24.20 tff('6', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (~ X0(sk_Xx_(X0), c0) | ~ cB(sk_Xx_(X0), sk_Xx_(X0))), 23.96/24.20 inference('cnf', [status(esa)], [zf_stmt_0])). 23.96/24.20 tff('7', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 (~ (^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))( 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0) 23.96/24.20 | ~ cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))))), 23.96/24.20 inference('ho.refine', [status(thm)], ['6'])). 23.96/24.20 tff('8', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 (~ (X1(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0) | 23.96/24.20 X0(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0)) 23.96/24.20 | ~ cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))))), 23.96/24.20 inference('lambda-normalize', [status(thm)], ['7'])). 23.96/24.20 tff('9', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 (~ cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1))))) 23.96/24.20 | ~ X1(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1)))), c0)), 23.96/24.20 inference('cnf_otf', [status(thm)], ['8'])). 23.96/24.20 tff('10', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (cA( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y3, Y2))(Y0, Y1) | cB(Y0, Y0))))) 23.96/24.20 | (^[Y0 : $i,Y1 : $i]: X0(Y1, Y0))( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y3, Y2))(Y0, Y1) | cB(Y0, Y0)))), 23.96/24.20 c0) 23.96/24.20 | ~ (^[Y0 : $i,Y1 : $i]: cB(Y0, Y0))( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y3, Y2))(Y0, Y1) | 23.96/24.20 (^[Y2 : $i,Y3 : $i]: cB(Y2, Y2))(Y0, Y1)))), c0)), 23.96/24.20 inference('sup-', [status(thm)], ['5', '9'])). 23.96/24.20 tff('11', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | X0(c0, sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | ~ cB(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0)))), 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0)))))), 23.96/24.20 inference('lambda-normalize', [status(thm)], ['10'])). 23.96/24.20 tff('12', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (cA( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y3, Y2))(Y0, Y1) | cB(Y0, Y0))))) 23.96/24.20 | (^[Y0 : $i,Y1 : $i]: X0(Y1, Y0))( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y3, Y2))(Y0, Y1) | cB(Y0, Y0)))), 23.96/24.20 c0) 23.96/24.20 | (^[Y0 : $i,Y1 : $i]: X0(Y0, Y1))(c0, 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y2, Y3))(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | cA( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: X0(Y2, Y3))(Y1, Y0) | cB(Y0, Y0)))))), 23.96/24.20 inference('sup-', [status(thm)], ['5', '11'])). 23.96/24.20 tff('13', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | X0(c0, sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | X0(c0, sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0)))))), 23.96/24.20 inference('lambda-normalize', [status(thm)], ['12'])). 23.96/24.20 tff('14', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: 23.96/24.20 (X0(c0, sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0))))) 23.96/24.20 | cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y1, Y0) | cB(Y0, Y0)))))), 23.96/24.20 inference('simplify', [status(thm)], ['13'])). 23.96/24.20 tff('15', plain, 23.96/24.20 cA( 23.96/24.20 sk_Xx_( 23.96/24.20 (^[Y0 : $i,Y1 : $i]: 23.96/24.20 ((^[Y2 : $i,Y3 : $i]: cA((^[Y4 : $i,Y5 : $i]: Y5)(Y2, Y3)))(Y1, 23.96/24.20 Y0) | 23.96/24.20 cB(Y0, Y0))))), 23.96/24.20 inference('eq_fact', [status(thm)], ['14'])). 23.96/24.20 tff('16', plain, cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (cA(Y0) | cB(Y0, Y0))))), 23.96/24.20 inference('lambda-normalize', [status(thm)], ['15'])). 23.96/24.20 tff('17', plain, 23.96/24.20 ![X0 : ($i * $i) > $o]: (~ X0(sk_Xx_(X0), c0) | ~ cA(sk_Xx_(X0))), 23.96/24.20 inference('cnf', [status(esa)], [zf_stmt_0])). 23.96/24.20 tff('18', plain, 23.96/24.20 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.20 (~ (^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))( 23.96/24.20 sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0) 23.96/24.21 | ~ cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))))), 23.96/24.21 inference('ho.refine', [status(thm)], ['17'])). 23.96/24.21 tff('19', plain, 23.96/24.21 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.21 (~ (X1(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0) | 23.96/24.21 X0(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))), c0)) 23.96/24.21 | ~ cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X1(Y0, Y1) | X0(Y0, Y1)))))), 23.96/24.21 inference('lambda-normalize', [status(thm)], ['18'])). 23.96/24.21 tff('20', plain, 23.96/24.21 ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]: 23.96/24.21 (~ cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1))))) 23.96/24.21 | ~ X0(sk_Xx_((^[Y0 : $i,Y1 : $i]: (X0(Y0, Y1) | X1(Y0, Y1)))), c0)), 23.96/24.21 inference('cnf_otf', [status(thm)], ['19'])). 23.96/24.21 tff('21', plain, 23.96/24.21 ~ (^[Y0 : $i,Y1 : $i]: cA(Y0))( 23.96/24.21 sk_Xx_( 23.96/24.21 (^[Y0 : $i,Y1 : $i]: 23.96/24.21 ((^[Y2 : $i,Y3 : $i]: cA(Y2))(Y0, Y1) | 23.96/24.21 (^[Y2 : $i,Y3 : $i]: cB(Y2, Y2))(Y0, Y1)))), c0), 23.96/24.21 inference('sup-', [status(thm)], ['16', '20'])). 23.96/24.21 tff('22', plain, ~ cA(sk_Xx_((^[Y0 : $i,Y1 : $i]: (cA(Y0) | cB(Y0, Y0))))), 23.96/24.21 inference('lambda-normalize', [status(thm)], ['21'])). 23.96/24.21 tff('23', plain, $false, inference('sup-', [status(thm)], ['16', '22'])). 23.96/24.21 23.96/24.21 % SZS output end Refutation 23.96/24.21 % Zipperpin 1.5 exiting 23.96/24.21 EOF