0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.jgLDyEe0AY 0.13/0.34 % Computer : n014.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 06:44:40 EDT 2020 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.20/0.35 % Python version: Python 3.6.8 0.20/0.35 % Running in FO mode 25.07/25.46 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 25.07/25.46 % Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20 25.07/25.46 % Solved by: fo/fo8.sh 25.07/25.46 To remain in the chosen logic fragment, unification with booleans has been disabled. 25.07/25.46 % done 885 iterations in 0.187s 25.07/25.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 25.07/25.46 % SZS output start Refutation 25.07/25.46 tff(cl5_nebula_norm_0003, conjecture, 25.07/25.46 (((sum(n0,n4, 25.07/25.46 sqrt(times(minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10))))) = 25.07/25.46 pv70) & 25.07/25.46 leq(n0,pv10) & 25.07/25.46 (![B]: 25.07/25.46 ((leq(B,pred(pv10)) & leq(n0,B)) => 25.07/25.46 (n1 = sum(n0,n4,a_select3(q,B,tptp_sum_index))))) & 25.07/25.46 (![A]: 25.07/25.46 ((leq(A,pred(pv12)) & leq(n0,A)) => 25.07/25.46 (a_select3(q,pv10,A) = 25.07/25.46 divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,A,n0),a_select2(x,pv10)))), 25.07/25.46 sum(n0,n4, 25.07/25.46 sqrt(times(minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10))))))))) & 25.07/25.46 leq(pv12,n4) & leq(pv10,n135299) & leq(n0,pv12)) => 25.07/25.46 (![C]: 25.07/25.46 ((leq(C,pv12) & leq(n0,C)) => 25.07/25.46 ((C != pv12) => 25.07/25.46 (divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,C,n0),a_select2(x,pv10)))), 25.07/25.46 sum(n0,n4, 25.07/25.46 sqrt(times(minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)))))) = 25.07/25.46 a_select3(q,pv10,C))))))). 25.07/25.46 tff(zf_stmt_0, negated_conjecture, 25.07/25.46 (~ 25.07/25.46 (((sum(n0,n4, 25.07/25.46 sqrt(times(minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10))))) = 25.07/25.46 pv70) & 25.07/25.46 leq(n0,pv10) & 25.07/25.46 (![B]: 25.07/25.46 ((leq(B,pred(pv10)) & leq(n0,B)) => 25.07/25.46 (n1 = sum(n0,n4,a_select3(q,B,tptp_sum_index))))) & 25.07/25.46 (![A]: 25.07/25.46 ((leq(A,pred(pv12)) & leq(n0,A)) => 25.07/25.46 (a_select3(q,pv10,A) = 25.07/25.46 divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,A,n0),a_select2(x,pv10)))), 25.07/25.46 sum(n0,n4, 25.07/25.46 sqrt(times(minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10))))))))) & 25.07/25.46 leq(pv12,n4) & leq(pv10,n135299) & leq(n0,pv12)) => 25.07/25.46 (![C]: 25.07/25.46 ((leq(C,pv12) & leq(n0,C)) => 25.07/25.46 ((C != pv12) => 25.07/25.46 (divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,C,n0),a_select2(x,pv10)))), 25.07/25.46 sum(n0,n4, 25.07/25.46 sqrt(times(minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)), 25.07/25.46 minus(a_select3(center,tptp_sum_index,n0), 25.07/25.46 a_select2(x,pv10)))))) = 25.07/25.46 a_select3(q,pv10,C)))))))). 25.07/25.46 tff('0', plain, leq(sk_C, pv12), 25.07/25.46 inference('cnf', [status(esa)], [zf_stmt_0])). 25.07/25.46 tff(leq_gt2, axiom, (![X,Y]: ((leq(X,Y) & (X != Y)) => gt(Y,X)))). 25.07/25.46 tff('1', plain, ![X6, X7]: ( gt(X6, X7) | X7 = X6 | ~ leq(X7, X6)), 25.07/25.46 inference('cnf', [status(esa)], [leq_gt2])). 25.07/25.46 tff('2', plain, (sk_C = pv12 | gt(pv12, sk_C)), 25.07/25.46 inference('sup-', [status(thm)], ['0', '1'])). 25.07/25.46 tff('3', plain, sk_C != pv12, inference('cnf', [status(esa)], [zf_stmt_0])). 25.07/25.46 tff('4', plain, gt(pv12, sk_C), 25.07/25.46 inference('simplify_reflect-', [status(thm)], ['2', '3'])). 25.07/25.46 tff(leq_gt_pred, axiom, (![X,Y]: (gt(Y,X) <=> leq(X,pred(Y))))). 25.07/25.46 tff('5', plain, ![X96, X97]: ( leq(X96, pred(X97)) | ~ gt(X97, X96)), 25.07/25.46 inference('cnf', [status(esa)], [leq_gt_pred])). 25.07/25.46 tff('6', plain, leq(sk_C, pred(pv12)), 25.07/25.46 inference('sup-', [status(thm)], ['4', '5'])). 25.07/25.46 tff('7', plain, 25.07/25.46 ![X123]: 25.07/25.46 (a_select3(q, pv10, X123) 25.07/25.46 = divide( 25.07/25.46 sqrt( 25.07/25.46 times(minus(a_select3(center, X123, n0), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, X123, n0), a_select2(x, pv10)))), 25.07/25.46 sum(n0, n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, n0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, n0), 25.07/25.46 a_select2(x, pv10)))))) 25.07/25.46 | ~ leq(n0, X123) 25.07/25.46 | ~ leq(X123, pred(pv12))), 25.07/25.46 inference('cnf', [status(esa)], [zf_stmt_0])). 25.07/25.46 tff(succ_tptp_minus_1, axiom, (n0 = succ(tptp_minus_1))). 25.07/25.46 tff('8', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff(successor_1, axiom, (n1 = succ(n0))). 25.07/25.46 tff('9', plain, n1 = succ(n0), inference('cnf', [status(esa)], [successor_1])). 25.07/25.46 tff('10', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('11', plain, n1 = succ(succ(tptp_minus_1)), 25.07/25.46 inference('demod', [status(thm)], ['9', '10'])). 25.07/25.46 tff(pred_succ, axiom, (![X]: (X = pred(succ(X))))). 25.07/25.46 tff('12', plain, ![X20]: X20 = pred(succ(X20)), 25.07/25.46 inference('cnf', [status(esa)], [pred_succ])). 25.07/25.46 tff('13', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('14', plain, n0 = pred(n1), 25.07/25.46 inference('demod', [status(thm)], ['8', '13'])). 25.07/25.46 tff(sum_plus_base, axiom, (![Body]: (n0 = sum(n0,tptp_minus_1,Body)))). 25.07/25.46 tff('15', plain, ![X86]: n0 = sum(n0, tptp_minus_1, X86), 25.07/25.46 inference('cnf', [status(esa)], [sum_plus_base])). 25.07/25.46 tff('16', plain, n0 = pred(n1), 25.07/25.46 inference('demod', [status(thm)], ['8', '13'])). 25.07/25.46 tff('17', plain, n0 = pred(n1), 25.07/25.46 inference('demod', [status(thm)], ['8', '13'])). 25.07/25.46 tff('18', plain, ![X86]: pred(n1) = sum(pred(n1), tptp_minus_1, X86), 25.07/25.46 inference('demod', [status(thm)], ['15', '16', '17'])). 25.07/25.46 tff(sum_plus_base_float, axiom, 25.07/25.46 (![Body]: (sum(n0,tptp_minus_1,Body) = tptp_float_0_0))). 25.07/25.46 tff('19', plain, ![X76]: sum(n0, tptp_minus_1, X76) = tptp_float_0_0, 25.07/25.46 inference('cnf', [status(esa)], [sum_plus_base_float])). 25.07/25.46 tff('20', plain, n0 = pred(n1), 25.07/25.46 inference('demod', [status(thm)], ['8', '13'])). 25.07/25.46 tff('21', plain, ![X76]: sum(pred(n1), tptp_minus_1, X76) = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['19', '20'])). 25.07/25.46 tff('22', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('23', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('24', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('25', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('26', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('27', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('28', plain, 25.07/25.46 sum(n0, n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))) 25.07/25.46 = pv70, 25.07/25.46 inference('cnf', [status(esa)], [zf_stmt_0])). 25.07/25.46 tff('29', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('30', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('31', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('32', plain, 25.07/25.46 sum(tptp_float_0_0, n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10))))) 25.07/25.46 = pv70, 25.07/25.46 inference('demod', [status(thm)], ['28', '29', '30', '31'])). 25.07/25.46 tff('33', plain, n0 = tptp_float_0_0, 25.07/25.46 inference('demod', [status(thm)], ['14', '22'])). 25.07/25.46 tff('34', plain, 25.07/25.46 ![X123]: 25.07/25.46 (a_select3(q, pv10, X123) 25.07/25.46 = divide( 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, X123, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, X123, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)))), pv70) 25.07/25.46 | ~ leq(tptp_float_0_0, X123) 25.07/25.46 | ~ leq(X123, pred(pv12))), 25.07/25.46 inference('demod', [status(thm)], 25.07/25.46 ['7', '23', '24', '25', '26', '27', '32', '33'])). 25.07/25.46 tff('35', plain, 25.07/25.46 (~ leq(tptp_float_0_0, sk_C) 25.07/25.46 | a_select3(q, pv10, sk_C) 25.07/25.46 = divide( 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)))), pv70)), 25.07/25.46 inference('sup-', [status(thm)], ['6', '34'])). 25.07/25.46 tff('36', plain, leq(n0, sk_C), inference('cnf', [status(esa)], [zf_stmt_0])). 25.07/25.46 tff('37', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('38', plain, leq(succ(tptp_minus_1), sk_C), 25.07/25.46 inference('demod', [status(thm)], ['36', '37'])). 25.07/25.46 tff('39', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('40', plain, leq(pred(n1), sk_C), 25.07/25.46 inference('demod', [status(thm)], ['38', '39'])). 25.07/25.46 tff('41', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('42', plain, leq(tptp_float_0_0, sk_C), 25.07/25.46 inference('demod', [status(thm)], ['40', '41'])). 25.07/25.46 tff('43', plain, 25.07/25.46 a_select3(q, pv10, sk_C) 25.07/25.46 = divide( 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)))), pv70), 25.07/25.46 inference('demod', [status(thm)], ['35', '42'])). 25.07/25.46 tff('44', plain, 25.07/25.46 divide( 25.07/25.46 sqrt( 25.07/25.46 times(minus(a_select3(center, sk_C, n0), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, n0), a_select2(x, pv10)))), 25.07/25.46 sum(n0, n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)))))) 25.07/25.46 != a_select3(q, pv10, sk_C), 25.07/25.46 inference('cnf', [status(esa)], [zf_stmt_0])). 25.07/25.46 tff('45', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('46', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('47', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('48', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('49', plain, n0 = succ(tptp_minus_1), 25.07/25.46 inference('cnf', [status(esa)], [succ_tptp_minus_1])). 25.07/25.46 tff('50', plain, 25.07/25.46 divide( 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, sk_C, succ(tptp_minus_1)), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, succ(tptp_minus_1)), 25.07/25.46 a_select2(x, pv10)))), 25.07/25.46 sum(succ(tptp_minus_1), n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, succ(tptp_minus_1)), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, succ(tptp_minus_1)), 25.07/25.46 a_select2(x, pv10)))))) 25.07/25.46 != a_select3(q, pv10, sk_C), 25.07/25.46 inference('demod', [status(thm)], ['44', '45', '46', '47', '48', '49'])). 25.07/25.46 tff('51', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('52', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('53', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('54', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('55', plain, succ(tptp_minus_1) = pred(n1), 25.07/25.46 inference('sup+', [status(thm)], ['11', '12'])). 25.07/25.46 tff('56', plain, 25.07/25.46 divide( 25.07/25.46 sqrt( 25.07/25.46 times(minus(a_select3(center, sk_C, pred(n1)), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, pred(n1)), a_select2(x, pv10)))), 25.07/25.46 sum(pred(n1), n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, pred(n1)), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, pred(n1)), 25.07/25.46 a_select2(x, pv10)))))) 25.07/25.46 != a_select3(q, pv10, sk_C), 25.07/25.46 inference('demod', [status(thm)], ['50', '51', '52', '53', '54', '55'])). 25.07/25.46 tff('57', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('58', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('59', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('60', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('61', plain, pred(n1) = tptp_float_0_0, 25.07/25.46 inference('sup+', [status(thm)], ['18', '21'])). 25.07/25.46 tff('62', plain, 25.07/25.46 divide( 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), a_select2(x, pv10)))), 25.07/25.46 sum(tptp_float_0_0, n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)))))) 25.07/25.46 != a_select3(q, pv10, sk_C), 25.07/25.46 inference('demod', [status(thm)], ['56', '57', '58', '59', '60', '61'])). 25.07/25.46 tff('63', plain, 25.07/25.46 sum(tptp_float_0_0, n4, 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, tptp_sum_index, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, tptp_sum_index, tptp_float_0_0), 25.07/25.46 a_select2(x, pv10))))) 25.07/25.46 = pv70, 25.07/25.46 inference('demod', [status(thm)], ['28', '29', '30', '31'])). 25.07/25.46 tff('64', plain, 25.07/25.46 divide( 25.07/25.46 sqrt( 25.07/25.46 times( 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), a_select2(x, pv10)), 25.07/25.46 minus(a_select3(center, sk_C, tptp_float_0_0), a_select2(x, pv10)))), 25.07/25.46 pv70) 25.07/25.46 != a_select3(q, pv10, sk_C), 25.07/25.46 inference('demod', [status(thm)], ['62', '63'])). 25.07/25.46 tff('65', plain, $false, 25.07/25.46 inference('simplify_reflect-', [status(thm)], ['43', '64'])). 25.07/25.46 25.07/25.46 % SZS output end Refutation 25.07/25.46 25.07/25.47 % Zipperpin 1.5 exiting 25.07/25.47 EOF