0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.ZlMQKF6L18 0.10/0.32 % Computer : n011.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1200 0.10/0.32 % DateTime : Tue Jul 13 14:10:25 EDT 2021 0.10/0.32 % CPUTime : 0.10/0.32 % Running portfolio for 120 s 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.32 % Number of cores: 8 0.10/0.32 % Python version: Python 3.6.8 0.10/0.32 % Running in HO mode 0.17/0.56 % Estimated wc time : 1286 0.17/0.56 % Estimated cpu time (7 cpus) : 183.71428571428572 0.87/0.65 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.87/0.66 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.87/0.66 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.87/0.66 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.87/0.66 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.87/0.66 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 1.20/0.69 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 21.15/3.66 % Solved by lams/c.easy.sh. 21.15/3.66 % Running : timeout 10 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.ZlMQKF6L18/e_inputa4c0b0 --cpu-limit=8 --auto -s -p. 21.15/3.66 % done 593 iterations in 2.958s 21.15/3.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 21.15/3.66 % SZS output start Refutation 21.15/3.66 tff(cS_INCL_LEM5_pme, conjecture, 21.15/3.66 (((![Xx0:iS,Xy0:iS]: (cP(Xx0,Xy0) != c0)) & 21.15/3.66 (![Xx0:iS,Xy0:iS,Xu:iS,Xv:iS]: 21.15/3.66 ((cP(Xx0,Xu) = cP(Xy0,Xv)) => ((Xu = Xv) & (Xx0 = Xy0)))) & 21.15/3.66 (![X:((iS > $o))]: 21.15/3.66 ((X(c0) & (![Xx0:iS,Xy0:iS]: ((X(Xx0) & X(Xy0)) => X(cP(Xx0,Xy0))))) => 21.15/3.66 (![Xx0:iS]: X(Xx0))))) => 21.15/3.66 (![R:((iS * iS * iS) > $o)]: 21.15/3.66 ((![Xa:iS,Xb:iS,Xc:iS]: 21.15/3.66 ((((Xb = c0) & (Xa = Xc)) | 21.15/3.66 (?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]: 21.15/3.66 ((Xa = cP(Xx1,Xx2)) & (Xb = cP(Xy1,Xy2)) & R(Xx2,Xy2,Xz2) & 21.15/3.66 R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)))) | 21.15/3.66 ((Xa = c0) & (Xb = Xc))) => 21.15/3.66 R(Xa,Xb,Xc))) => 21.15/3.66 R(cP(c0,y),cP(x,y),cP(x,y)))))). 21.15/3.66 tff(zf_stmt_0, negated_conjecture, 21.15/3.66 (~ 21.15/3.66 (((![Xx0:iS,Xy0:iS]: (cP(Xx0,Xy0) != c0)) & 21.15/3.66 (![Xx0:iS,Xy0:iS,Xu:iS,Xv:iS]: 21.15/3.66 ((cP(Xx0,Xu) = cP(Xy0,Xv)) => ((Xu = Xv) & (Xx0 = Xy0)))) & 21.15/3.66 (![X:((iS > $o))]: 21.15/3.66 ((X(c0) & (![Xx0:iS,Xy0:iS]: ((X(Xx0) & X(Xy0)) => X(cP(Xx0,Xy0))))) => 21.15/3.66 (![Xx0:iS]: X(Xx0))))) => 21.15/3.66 (![R:((iS * iS * iS) > $o)]: 21.15/3.66 ((![Xa:iS,Xb:iS,Xc:iS]: 21.15/3.66 ((((Xb = c0) & (Xa = Xc)) | 21.15/3.66 (?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]: 21.15/3.66 ((Xa = cP(Xx1,Xx2)) & (Xb = cP(Xy1,Xy2)) & R(Xx2,Xy2,Xz2) & 21.15/3.66 R(Xx1,Xy1,Xz1) & (Xc = cP(Xz1,Xz2)))) | 21.15/3.66 ((Xa = c0) & (Xb = Xc))) => 21.15/3.66 R(Xa,Xb,Xc))) => 21.15/3.66 R(cP(c0,y),cP(x,y),cP(x,y))))))). 21.15/3.66 tff('0', plain, 21.15/3.66 ![X8 : iS, X9 : iS, X10 : iS]: 21.15/3.66 ( sk_R(X8, X9, X10) | X8 != c0 | X9 != X10), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('1', plain, ![X10 : iS]: sk_R(c0, X10, X10), 21.15/3.66 inference('simplify', [status(thm)], ['0'])). 21.15/3.66 tff('2', plain, 21.15/3.66 ![X6 : iS > $o, X7 : iS]: ( X6(X7) | X6(sk_Xy0(X6)) | ~ X6(c0)), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('3', plain, ![X0 : iS > $o]: (~ X0(c0) | X0(sk_Xy0(X0))), 21.15/3.66 inference('condensation', [status(thm)], ['2'])). 21.15/3.66 tff('4', plain, 21.15/3.66 (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0)))( 21.15/3.66 sk_Xy0( 21.15/3.66 (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0))))), 21.15/3.66 inference('sup-', [status(thm)], ['1', '3'])). 21.15/3.66 tff('5', plain, 21.15/3.66 sk_R(sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0)))), 21.15/3.66 inference('ho_norm', [status(thm)], ['4'])). 21.15/3.66 tff('6', plain, 21.15/3.66 sk_R(sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0)))), 21.15/3.66 inference('ho_norm', [status(thm)], ['4'])). 21.15/3.66 tff('7', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('8', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('9', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('10', plain, 21.15/3.66 sk_R(sk_Xy0('#l_lift53'), sk_Xy0('#l_lift53'), sk_Xy0('#l_lift53')), 21.15/3.66 inference('lambda_lifting', [status(thm)], ['5', '7', '8', '9'])). 21.15/3.66 tff('11', plain, ![X10 : iS]: sk_R(c0, X10, X10), 21.15/3.66 inference('simplify', [status(thm)], ['0'])). 21.15/3.66 tff('12', plain, 21.15/3.66 ![X6 : iS > $o, X7 : iS]: ( X6(X7) | X6(sk_Xx0(X6)) | ~ X6(c0)), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('13', plain, ![X0 : iS > $o]: (~ X0(c0) | X0(sk_Xx0(X0))), 21.15/3.66 inference('condensation', [status(thm)], ['12'])). 21.15/3.66 tff('14', plain, 21.15/3.66 (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0)))( 21.15/3.66 sk_Xx0( 21.15/3.66 (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0))))), 21.15/3.66 inference('sup-', [status(thm)], ['11', '13'])). 21.15/3.66 tff('15', plain, 21.15/3.66 sk_R(sk_Xx0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xx0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xx0((^[Y0 : iS]: sk_R(Y0, Y0, Y0)))), 21.15/3.66 inference('ho_norm', [status(thm)], ['14'])). 21.15/3.66 tff('16', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('17', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('18', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('19', plain, 21.15/3.66 sk_R(sk_Xx0('#l_lift53'), sk_Xx0('#l_lift53'), sk_Xx0('#l_lift53')), 21.15/3.66 inference('lambda_lifting', [status(thm)], ['15', '16', '17', '18'])). 21.15/3.66 tff('20', plain, 21.15/3.66 ![X8 : iS, X9 : iS, X10 : iS]: 21.15/3.66 ( sk_R(X8, X9, X10) | X9 != c0 | X8 != X10), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('21', plain, ![X10 : iS]: sk_R(X10, c0, X10), 21.15/3.66 inference('simplify', [status(thm)], ['20'])). 21.15/3.66 tff('22', plain, 21.15/3.66 ![X6 : iS > $o, X7 : iS]: 21.15/3.66 ( X6(X7) | ~ X6(cP(sk_Xx0(X6), sk_Xy0(X6))) | ~ X6(c0)), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('23', plain, 21.15/3.66 ![X0 : iS]: 21.15/3.66 (~ (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0)))( 21.15/3.66 cP( 21.15/3.66 sk_Xx0( 21.15/3.66 (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0)))), 21.15/3.66 sk_Xy0( 21.15/3.66 (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0)))))) 21.15/3.66 | (^[Y0 : iS]: 21.15/3.66 sk_R((^[Y1 : iS]: Y1)(Y0), (^[Y1 : iS]: Y1)(Y0), 21.15/3.66 (^[Y1 : iS]: Y1)(Y0)))(X0)), 21.15/3.66 inference('sup-', [status(thm)], ['21', '22'])). 21.15/3.66 tff('24', plain, 21.15/3.66 ![X0 : iS]: 21.15/3.66 (~ sk_R( 21.15/3.66 cP(sk_Xx0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0)))), 21.15/3.66 cP(sk_Xx0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0)))), 21.15/3.66 cP(sk_Xx0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))), 21.15/3.66 sk_Xy0((^[Y0 : iS]: sk_R(Y0, Y0, Y0))))) 21.15/3.66 | sk_R(X0, X0, X0)), 21.15/3.66 inference('ho_norm', [status(thm)], ['23'])). 21.15/3.66 tff('25', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('26', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('27', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('28', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('29', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('30', plain, ![X1 : iS]: '#l_lift53'(X1) = sk_R(X1, X1, X1), 21.15/3.66 define([status(thm)])). 21.15/3.66 tff('31', plain, 21.15/3.66 ![X0 : iS]: 21.15/3.66 (~ sk_R(cP(sk_Xx0('#l_lift53'), sk_Xy0('#l_lift53')), 21.15/3.66 cP(sk_Xx0('#l_lift53'), sk_Xy0('#l_lift53')), 21.15/3.66 cP(sk_Xx0('#l_lift53'), sk_Xy0('#l_lift53'))) 21.15/3.66 | sk_R(X0, X0, X0)), 21.15/3.66 inference('lambda_lifting', [status(thm)], 21.15/3.66 ['24', '25', '26', '27', '28', '29', '30'])). 21.15/3.66 tff('32', plain, ![X10 : iS]: sk_R(c0, X10, X10), 21.15/3.66 inference('simplify', [status(thm)], ['0'])). 21.15/3.66 tff('33', plain, 21.15/3.66 ![X8 : iS, X9 : iS, X10 : iS, X11 : iS, X12 : iS, X13 : iS, X14 : iS, 21.15/3.66 X15 : iS, X16 : iS]: 21.15/3.66 ( sk_R(X8, X9, X10) 21.15/3.66 | X8 != cP(X11, X12) 21.15/3.66 | X9 != cP(X13, X14) 21.15/3.66 | ~ sk_R(X11, X13, X15) 21.15/3.66 | X10 != cP(X15, X16) 21.15/3.66 | ~ sk_R(X12, X14, X16)), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('34', plain, 21.15/3.66 ![X11 : iS, X12 : iS, X13 : iS, X14 : iS, X15 : iS, X16 : iS]: 21.15/3.66 (~ sk_R(X12, X14, X16) 21.15/3.66 | ~ sk_R(X11, X13, X15) 21.15/3.66 | sk_R(cP(X11, X12), cP(X13, X14), cP(X15, X16))), 21.15/3.66 inference('simplify', [status(thm)], ['33'])). 21.15/3.66 tff('35', plain, ~ sk_R(cP(c0, y), cP(x, y), cP(x, y)), 21.15/3.66 inference('cnf', [status(esa)], [zf_stmt_0])). 21.15/3.66 tff('36', plain, $false, 21.15/3.66 inference('eprover', [status(thm)], ['10', '19', '31', '32', '34', '35'])). 21.15/3.66 21.15/3.66 % SZS output end Refutation 21.15/3.66 21.15/3.66 21.15/3.66 % Terminating... 22.41/3.79 % Runner terminated. 22.41/3.81 % Zipperpin 1.5 exiting 22.41/3.81 EOF