0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.fMJhYgHms5 0.13/0.34 % Computer : n010.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 06:49:42 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 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in FO mode 0.20/0.51 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 0.20/0.51 % Solved by: fo/fo7.sh 0.20/0.51 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.20/0.51 % done 389 iterations in 0.084s 0.20/0.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.20/0.51 % SZS output start Refutation 0.20/0.51 tff(axiom_m2, axiom, 0.20/0.51 (axiom_m2 <=> (![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))). 0.20/0.51 tff('0', plain, 0.20/0.51 ( axiom_m2 0.20/0.51 | ~ is_a_theorem(strict_implies(and(sk_X_23, sk_Y_19), sk_X_23))), 0.20/0.51 inference('cnf', [status(esa)], [axiom_m2])). 0.20/0.51 tff('1', plain, 0.20/0.51 (~ is_a_theorem(strict_implies(and(sk_X_23, sk_Y_19), sk_X_23))) 0.20/0.51 <= (~ ( is_a_theorem(strict_implies(and(sk_X_23, sk_Y_19), sk_X_23)))), 0.20/0.51 inference('split', [status(esa)], ['0'])). 0.20/0.51 tff('2', plain, ( axiom_m2) <= (( axiom_m2)), 0.20/0.51 inference('split', [status(esa)], ['0'])). 0.20/0.51 tff(s1_0_axiom_m2, conjecture, (axiom_m2)). 0.20/0.51 tff(zf_stmt_0, negated_conjecture, (~axiom_m2)). 0.20/0.51 tff('3', plain, ~ axiom_m2, inference('cnf', [status(esa)], [zf_stmt_0])). 0.20/0.51 tff('4', plain, ~ ( axiom_m2), inference('sup-', [status(thm)], ['2', '3'])). 0.20/0.51 tff('5', plain, 0.20/0.51 ~ ( is_a_theorem(strict_implies(and(sk_X_23, sk_Y_19), sk_X_23))) | 0.20/0.51 ( axiom_m2), inference('split', [status(esa)], ['0'])). 0.20/0.51 tff('6', plain, 0.20/0.51 ~ ( is_a_theorem(strict_implies(and(sk_X_23, sk_Y_19), sk_X_23))), 0.20/0.51 inference('sat_resolution*', [status(thm)], ['4', '5'])). 0.20/0.51 tff('7', plain, 0.20/0.51 ~ is_a_theorem(strict_implies(and(sk_X_23, sk_Y_19), sk_X_23)), 0.20/0.51 inference('simpl_trail', [status(thm)], ['1', '6'])). 0.20/0.51 tff(kn2, axiom, (kn2 <=> (![P,Q]: is_a_theorem(implies(and(P,Q),P))))). 0.20/0.51 tff('8', plain, 0.20/0.51 ![X17, X18]: ( is_a_theorem(implies(and(X17, X18), X17)) | ~ kn2), 0.20/0.51 inference('cnf', [status(esa)], [kn2])). 0.20/0.51 tff('9', plain, 0.20/0.51 (![X17, X18]: is_a_theorem(implies(and(X17, X18), X17))) 0.20/0.51 <= ((![X17, X18]: is_a_theorem(implies(and(X17, X18), X17)))), 0.20/0.51 inference('split', [status(esa)], ['8'])). 0.20/0.51 tff(and_1, axiom, ((![X,Y]: is_a_theorem(implies(and(X,Y),X))) <=> and_1)). 0.20/0.51 tff('10', plain, 0.20/0.51 ![X41, X42]: ( is_a_theorem(implies(and(X41, X42), X41)) | ~ and_1), 0.20/0.51 inference('cnf', [status(esa)], [and_1])). 0.20/0.51 tff('11', plain, (~ and_1) <= (~ ( and_1)), 0.20/0.51 inference('split', [status(esa)], ['10'])). 0.20/0.51 tff(hilbert_and_1, axiom, (and_1)). 0.20/0.51 tff('12', plain, and_1, inference('cnf', [status(esa)], [hilbert_and_1])). 0.20/0.51 tff('13', plain, ( and_1), inference('demod', [status(thm)], ['11', '12'])). 0.20/0.51 tff('14', plain, 0.20/0.51 (![X17, X18]: is_a_theorem(implies(and(X17, X18), X17))) | ~ ( and_1), 0.20/0.51 inference('split', [status(esa)], ['10'])). 0.20/0.51 tff('15', plain, (![X17, X18]: is_a_theorem(implies(and(X17, X18), X17))), 0.20/0.51 inference('sat_resolution*', [status(thm)], ['13', '14'])). 0.20/0.51 tff('16', plain, ![X17, X18]: is_a_theorem(implies(and(X17, X18), X17)), 0.20/0.51 inference('simpl_trail', [status(thm)], ['9', '15'])). 0.20/0.51 tff(op_strict_implies, axiom, 0.20/0.51 (op_strict_implies => 0.20/0.51 (![X,Y]: (necessarily(implies(X,Y)) = strict_implies(X,Y))))). 0.20/0.51 tff('17', plain, 0.20/0.51 ![X105, X106]: 0.20/0.51 (necessarily(implies(X105, X106)) = strict_implies(X105, X106) 0.20/0.51 | ~ op_strict_implies), 0.20/0.51 inference('cnf', [status(esa)], [op_strict_implies])). 0.20/0.51 tff('18', plain, 0.20/0.51 (![X105, X106]: 0.20/0.51 necessarily(implies(X105, X106)) = strict_implies(X105, X106)) 0.20/0.51 <= ((![X105, X106]: 0.20/0.51 necessarily(implies(X105, X106)) = strict_implies(X105, X106))), 0.20/0.51 inference('split', [status(esa)], ['17'])). 0.20/0.51 tff(s1_0_op_strict_implies, axiom, (op_strict_implies)). 0.20/0.51 tff('19', plain, op_strict_implies, 0.20/0.51 inference('cnf', [status(esa)], [s1_0_op_strict_implies])). 0.20/0.51 tff('20', plain, (~ op_strict_implies) <= (~ ( op_strict_implies)), 0.20/0.51 inference('split', [status(esa)], ['17'])). 0.20/0.51 tff('21', plain, ( op_strict_implies), 0.20/0.51 inference('sup-', [status(thm)], ['19', '20'])). 0.20/0.51 tff('22', plain, 0.20/0.51 (![X105, X106]: 0.20/0.51 necessarily(implies(X105, X106)) = strict_implies(X105, X106)) | 0.20/0.51 ~ ( op_strict_implies), inference('split', [status(esa)], ['17'])). 0.20/0.51 tff('23', plain, 0.20/0.51 (![X105, X106]: 0.20/0.51 necessarily(implies(X105, X106)) = strict_implies(X105, X106)), 0.20/0.51 inference('sat_resolution*', [status(thm)], ['21', '22'])). 0.20/0.52 tff('24', plain, 0.20/0.52 ![X105, X106]: 0.20/0.52 necessarily(implies(X105, X106)) = strict_implies(X105, X106), 0.20/0.52 inference('simpl_trail', [status(thm)], ['18', '23'])). 0.20/0.52 tff(necessitation, axiom, 0.20/0.52 (necessitation <=> 0.20/0.52 (![X]: (is_a_theorem(X) => is_a_theorem(necessarily(X)))))). 0.20/0.52 tff('25', plain, 0.20/0.52 ![X83]: 0.20/0.52 (~ is_a_theorem(X83) 0.20/0.52 | is_a_theorem(necessarily(X83)) 0.20/0.52 | ~ necessitation), 0.20/0.52 inference('cnf', [status(esa)], [necessitation])). 0.20/0.52 tff('26', plain, 0.20/0.52 (![X83]: (~ is_a_theorem(X83) | is_a_theorem(necessarily(X83)))) 0.20/0.52 <= ((![X83]: (~ is_a_theorem(X83) | is_a_theorem(necessarily(X83))))), 0.20/0.52 inference('split', [status(esa)], ['25'])). 0.20/0.52 tff(km5_necessitation, axiom, (necessitation)). 0.20/0.52 tff('27', plain, necessitation, 0.20/0.52 inference('cnf', [status(esa)], [km5_necessitation])). 0.20/0.52 tff('28', plain, (~ necessitation) <= (~ ( necessitation)), 0.20/0.52 inference('split', [status(esa)], ['25'])). 0.20/0.52 tff('29', plain, ( necessitation), 0.20/0.52 inference('sup-', [status(thm)], ['27', '28'])). 0.20/0.52 tff('30', plain, 0.20/0.52 (![X83]: (~ is_a_theorem(X83) | is_a_theorem(necessarily(X83)))) | 0.20/0.52 ~ ( necessitation), inference('split', [status(esa)], ['25'])). 0.20/0.52 tff('31', plain, 0.20/0.52 (![X83]: (~ is_a_theorem(X83) | is_a_theorem(necessarily(X83)))), 0.20/0.52 inference('sat_resolution*', [status(thm)], ['29', '30'])). 0.20/0.52 tff('32', plain, 0.20/0.52 ![X83]: (~ is_a_theorem(X83) | is_a_theorem(necessarily(X83))), 0.20/0.52 inference('simpl_trail', [status(thm)], ['26', '31'])). 0.20/0.52 tff('33', plain, 0.20/0.52 ![X0, X1]: 0.20/0.52 ( is_a_theorem(strict_implies(X1, X0)) 0.20/0.52 | ~ is_a_theorem(implies(X1, X0))), 0.20/0.52 inference('sup+', [status(thm)], ['24', '32'])). 0.20/0.52 tff('34', plain, ![X0, X1]: is_a_theorem(strict_implies(and(X0, X1), X0)), 0.20/0.52 inference('sup-', [status(thm)], ['16', '33'])). 0.20/0.52 tff('35', plain, $false, inference('demod', [status(thm)], ['7', '34'])). 0.20/0.52 0.20/0.52 % SZS output end Refutation 0.20/0.52 0.20/0.52 % Zipperpin 1.5 exiting 0.20/0.52 EOF