0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.gcOWMcbVMx 0.12/0.33 % Computer : n027.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 07:28:32 EDT 2020 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 120 s 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in FO mode 2.80/3.04 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 2.80/3.04 % Solved by: fo/fo7.sh 2.80/3.04 To remain in the chosen logic fragment, unification with booleans has been disabled. 2.80/3.04 % done 1899 iterations in 2.594s 2.80/3.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 2.80/3.04 % SZS output start Refutation 2.80/3.04 tff(thI28, conjecture, 2.80/3.04 (![A,E]: 2.80/3.04 (subset(A,E) => equal_set(intersection(difference(E,A),A),empty_set)))). 2.80/3.04 tff(zf_stmt_0, negated_conjecture, 2.80/3.04 (~ 2.80/3.04 (![A,E]: 2.80/3.04 (subset(A,E) => equal_set(intersection(difference(E,A),A),empty_set))))). 2.80/3.04 tff('0', plain, 2.80/3.04 ~ equal_set(intersection(difference(sk_E, sk_A), sk_A), empty_set), 2.80/3.04 inference('cnf', [status(esa)], [zf_stmt_0])). 2.80/3.04 tff(subset, axiom, 2.80/3.04 (![A,B]: (subset(A,B) <=> (![X]: (member(X,A) => member(X,B)))))). 2.80/3.04 tff('1', plain, 2.80/3.04 ![X19, X21]: ( subset(X19, X21) | member(sk_X(X21, X19), X19)), 2.80/3.04 inference('cnf', [status(esa)], [subset])). 2.80/3.04 tff(intersection, axiom, 2.80/3.04 (![X,A,B]: ((member(X,A) & member(X,B)) <=> member(X,intersection(A,B))))). 2.80/3.04 tff('2', plain, 2.80/3.04 ![X0, X1, X3]: ( member(X0, X3) | ~ member(X0, intersection(X1, X3))), 2.80/3.04 inference('cnf', [status(esa)], [intersection])). 2.80/3.04 tff('3', plain, 2.80/3.04 ![X0, X1, X2]: 2.80/3.04 ( subset(intersection(X1, X0), X2) 2.80/3.04 | member(sk_X(X2, intersection(X1, X0)), X0)), 2.80/3.04 inference('sup-', [status(thm)], ['1', '2'])). 2.80/3.04 tff('4', plain, 2.80/3.04 ![X19, X21]: ( subset(X19, X21) | member(sk_X(X21, X19), X19)), 2.80/3.04 inference('cnf', [status(esa)], [subset])). 2.80/3.04 tff('5', plain, 2.80/3.04 ![X0, X1, X3]: ( member(X0, X1) | ~ member(X0, intersection(X1, X3))), 2.80/3.04 inference('cnf', [status(esa)], [intersection])). 2.80/3.04 tff('6', plain, 2.80/3.04 ![X0, X1, X2]: 2.80/3.04 ( subset(intersection(X1, X0), X2) 2.80/3.04 | member(sk_X(X2, intersection(X1, X0)), X1)), 2.80/3.04 inference('sup-', [status(thm)], ['4', '5'])). 2.80/3.04 tff(difference, axiom, 2.80/3.04 (![B,A,E]: (member(B,difference(E,A)) <=> (member(B,E) & (~member(B,A)))))). 2.80/3.04 tff('7', plain, 2.80/3.04 ![X8, X9, X10]: (~ member(X8, X10) | ~ member(X8, difference(X9, X10))), 2.80/3.04 inference('cnf', [status(esa)], [difference])). 2.80/3.04 tff('8', plain, 2.80/3.04 ![X0, X1, X2, X3]: 2.80/3.04 ( subset(intersection(difference(X1, X0), X2), X3) 2.80/3.04 | ~ member(sk_X(X3, intersection(difference(X1, X0), X2)), X0)), 2.80/3.04 inference('sup-', [status(thm)], ['6', '7'])). 2.80/3.04 tff('9', plain, 2.80/3.04 ![X0, X1, X2]: 2.80/3.04 ( subset(intersection(difference(X1, X0), X0), X2) 2.80/3.04 | subset(intersection(difference(X1, X0), X0), X2)), 2.80/3.04 inference('sup-', [status(thm)], ['3', '8'])). 2.80/3.04 tff('10', plain, 2.80/3.04 ![X0, X1, X2]: subset(intersection(difference(X1, X0), X0), X2), 2.80/3.04 inference('simplify', [status(thm)], ['9'])). 2.80/3.04 tff('11', plain, 2.80/3.04 ![X19, X21]: ( subset(X19, X21) | member(sk_X(X21, X19), X19)), 2.80/3.04 inference('cnf', [status(esa)], [subset])). 2.80/3.04 tff(empty_set, axiom, (![X]: (~member(X,empty_set)))). 2.80/3.04 tff('12', plain, ![X22]: ~ member(X22, empty_set), 2.80/3.04 inference('cnf', [status(esa)], [empty_set])). 2.80/3.04 tff('13', plain, ![X0]: subset(empty_set, X0), 2.80/3.04 inference('sup-', [status(thm)], ['11', '12'])). 2.80/3.04 tff(equal_set, axiom, 2.80/3.04 (![A,B]: ((subset(A,B) & subset(B,A)) <=> equal_set(A,B)))). 2.80/3.04 tff('14', plain, 2.80/3.04 ![X23, X24]: 2.80/3.04 ( equal_set(X23, X24) | ~ subset(X24, X23) | ~ subset(X23, X24)), 2.80/3.04 inference('cnf', [status(esa)], [equal_set])). 2.80/3.04 tff('15', plain, 2.80/3.04 ![X0]: (~ subset(X0, empty_set) | equal_set(X0, empty_set)), 2.80/3.04 inference('sup-', [status(thm)], ['13', '14'])). 2.80/3.04 tff('16', plain, 2.80/3.04 ![X0, X1]: equal_set(intersection(difference(X1, X0), X0), empty_set), 2.80/3.04 inference('sup-', [status(thm)], ['10', '15'])). 2.80/3.04 tff('17', plain, $false, inference('demod', [status(thm)], ['0', '16'])). 2.80/3.04 2.80/3.04 % SZS output end Refutation 2.80/3.04 2.80/3.05 % Zipperpin 1.5 exiting 2.80/3.05 EOF