0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.iWhGHrdRo1 0.13/0.34 % Computer : n005.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 : 180 0.13/0.34 % DateTime : Thu Aug 29 10:12:33 EDT 2019 0.13/0.34 % CPUTime : 110.97/111.25 % Running portfolio for 180 s 110.97/111.25 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 110.97/111.25 % TempDir : /export/starexec/sandbox/tmp/tmp.iWhGHrdRo1 110.97/111.25 % Recognized as monomorphic HO. 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 15 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 13 110.97/111.25 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 17 110.97/111.25 % Solved by: pragmatic.ll.e.sh 110.97/111.25 % done 23 iterations in 0.043s 110.97/111.25 % hashcons stats for terms: size 4096, num 455, sum length 1968, buckets: small 0, median 0, big 3 110.97/111.25 % proof state stats: {active 21, passive 49, simpl 0} 110.97/111.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 110.97/111.25 % SZS output start Refutation 110.97/111.25 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 110.97/111.25 (![A,X]: 110.97/111.25 (in(X,powerset(A)) => 110.97/111.25 (![Y]: 110.97/111.25 (in(Y,powerset(A)) => 110.97/111.25 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 110.97/111.25 tff('0', plain, 110.97/111.25 binunionTIRcontra = 110.97/111.25 (![X2,X3]: 110.97/111.25 (in(X3,powerset(X2)) => 110.97/111.25 (![X4]: 110.97/111.25 (in(X4,powerset(X2)) => 110.97/111.25 (![X5]: 110.97/111.25 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X4))))))))), 110.97/111.25 define([status(thm)])). 110.97/111.25 tff(binunionTILcontra, axiom, binunionTILcontra <=> 110.97/111.25 (![A,X]: 110.97/111.25 (in(X,powerset(A)) => 110.97/111.25 (![Y]: 110.97/111.25 (in(Y,powerset(A)) => 110.97/111.25 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 110.97/111.25 tff('1', plain, 110.97/111.25 binunionTILcontra = 110.97/111.25 (![X2,X3]: 110.97/111.25 (in(X3,powerset(X2)) => 110.97/111.25 (![X4]: 110.97/111.25 (in(X4,powerset(X2)) => 110.97/111.25 (![X5]: 110.97/111.25 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X3))))))))), 110.97/111.25 define([status(thm)])). 110.97/111.25 tff(complementTE1, axiom, complementTE1 <=> 110.97/111.25 (![A,X]: 110.97/111.25 (in(X,powerset(A)) => 110.97/111.25 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 110.97/111.25 tff('2', plain, 110.97/111.25 complementTE1 = 110.97/111.25 (![X2,X3]: 110.97/111.25 (in(X3,powerset(X2)) => 110.97/111.25 (![X4]: (in(X4,X2) => ((~in(X4,setminus(X2,X3))) => in(X4,X3)))))), 110.97/111.25 define([status(thm)])). 110.97/111.25 tff(complementT_lem, axiom, complementT_lem <=> 110.97/111.25 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 110.97/111.25 tff('3', plain, 110.97/111.25 complementT_lem = 110.97/111.25 (![X2,X3]: (in(X3,powerset(X2)) => in(setminus(X2,X3),powerset(X2)))), 110.97/111.25 define([status(thm)])). 110.97/111.25 tff(setminusER, axiom, setminusER <=> 110.97/111.25 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 110.97/111.25 tff('4', plain, 110.97/111.25 setminusER = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => (~in(X4,X3)))), 110.97/111.25 define([status(thm)])). 110.97/111.25 tff(binintersectI, axiom, binintersectI <=> 110.97/111.25 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 110.97/111.25 tff('5', plain, 110.97/111.25 binintersectI = 110.97/111.25 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))), 110.97/111.25 define([status(thm)])). 110.97/111.25 tff(demorgan1a, conjecture, 110.97/111.25 (binintersectI => 110.97/111.25 (setminusER => 110.97/111.25 (complementT_lem => 110.97/111.25 (complementTE1 => 110.97/111.25 (binunionTILcontra => 110.97/111.25 (binunionTIRcontra => 110.97/111.25 (![A,X]: 110.97/111.25 (in(X,powerset(A)) => 110.97/111.25 (![Y]: 110.97/111.25 (in(Y,powerset(A)) => 110.97/111.25 (![Xx]: 110.97/111.25 (in(Xx,A) => 110.97/111.25 (in(Xx,setminus(A,binintersect(X,Y))) => 110.97/111.25 in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))))))))). 110.97/111.25 tff(zf_stmt_0, conjecture, 110.97/111.25 ((![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))) => 110.97/111.25 ((![X5,X6,X7]: (in(X7,setminus(X5,X6)) => (~in(X7,X6)))) => 110.97/111.25 ((![X8,X9]: (in(X9,powerset(X8)) => in(setminus(X8,X9),powerset(X8)))) => 110.97/111.25 ((![X10,X11]: 110.97/111.25 (in(X11,powerset(X10)) => 110.97/111.25 (![X12]: 110.97/111.25 (in(X12,X10) => ((~in(X12,setminus(X10,X11))) => in(X12,X11)))))) => 110.97/111.25 ((![X13,X14]: 110.97/111.25 (in(X14,powerset(X13)) => 110.97/111.25 (![X15]: 110.97/111.25 (in(X15,powerset(X13)) => 110.97/111.25 (![X16]: 110.97/111.25 (in(X16,X13) => 110.97/111.25 ((~in(X16,binunion(X14,X15))) => (~in(X16,X14))))))))) => 110.97/111.25 ((![X17,X18]: 110.97/111.25 (in(X18,powerset(X17)) => 110.97/111.25 (![X19]: 110.97/111.25 (in(X19,powerset(X17)) => 110.97/111.25 (![X20]: 110.97/111.25 (in(X20,X17) => 110.97/111.25 ((~in(X20,binunion(X18,X19))) => (~in(X20,X19))))))))) => 110.97/111.25 (![X21,X22]: 110.97/111.25 (in(X22,powerset(X21)) => 110.97/111.25 (![X23]: 110.97/111.25 (in(X23,powerset(X21)) => 110.97/111.25 (![X24]: 110.97/111.25 (in(X24,X21) => 110.97/111.25 (in(X24,setminus(X21,binintersect(X22,X23))) => 110.97/111.25 in(X24,binunion(setminus(X21,X22),setminus(X21,X23))))))))))))))))). 110.97/111.25 tff(zf_stmt_1, negated_conjecture, 110.97/111.25 (~ 110.97/111.25 ((![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))) => 110.97/111.25 ((![X5,X6,X7]: (in(X7,setminus(X5,X6)) => (~in(X7,X6)))) => 110.97/111.25 ((![X8,X9]: (in(X9,powerset(X8)) => in(setminus(X8,X9),powerset(X8)))) => 110.97/111.25 ((![X10,X11]: 110.97/111.25 (in(X11,powerset(X10)) => 110.97/111.25 (![X12]: 110.97/111.25 (in(X12,X10) => ((~in(X12,setminus(X10,X11))) => in(X12,X11)))))) => 110.97/111.25 ((![X13,X14]: 110.97/111.25 (in(X14,powerset(X13)) => 110.97/111.25 (![X15]: 110.97/111.25 (in(X15,powerset(X13)) => 110.97/111.25 (![X16]: 110.97/111.25 (in(X16,X13) => 110.97/111.25 ((~in(X16,binunion(X14,X15))) => (~in(X16,X14))))))))) => 110.97/111.25 ((![X17,X18]: 110.97/111.25 (in(X18,powerset(X17)) => 110.97/111.25 (![X19]: 110.97/111.25 (in(X19,powerset(X17)) => 110.97/111.25 (![X20]: 110.97/111.25 (in(X20,X17) => 110.97/111.25 ((~in(X20,binunion(X18,X19))) => (~in(X20,X19))))))))) => 110.97/111.25 (![X21,X22]: 110.97/111.25 (in(X22,powerset(X21)) => 110.97/111.25 (![X23]: 110.97/111.25 (in(X23,powerset(X21)) => 110.97/111.25 (![X24]: 110.97/111.25 (in(X24,X21) => 110.97/111.25 (in(X24,setminus(X21,binintersect(X22,X23))) => 110.97/111.25 in(X24,binunion(setminus(X21,X22),setminus(X21,X23)))))))))))))))))). 110.97/111.25 tff('6', plain, in(sk_X23_, powerset(sk_X21_)), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('7', plain, 110.97/111.25 ![X32, X33, X34]: 110.97/111.25 (~ in(X32, X33) 110.97/111.25 | in(X32, X34) 110.97/111.25 | in(X32, setminus(X33, X34)) 110.97/111.25 | ~ in(X34, powerset(X33))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('8', plain, 110.97/111.25 ![X22, X23]: 110.97/111.25 (in(setminus(X22, X23), powerset(X22)) | ~ in(X23, powerset(X22))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('9', plain, 110.97/111.25 ![X24, X25, X26, X27]: 110.97/111.25 (~ in(X24, powerset(X25)) 110.97/111.25 | in(X26, binunion(X27, X24)) 110.97/111.25 | ~ in(X26, X27) 110.97/111.25 | ~ in(X26, X25) 110.97/111.25 | ~ in(X27, powerset(X25))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('10', plain, 110.97/111.25 ~ in(sk_X24_, 110.97/111.25 binunion(setminus(sk_X21_, sk_X22_), setminus(sk_X21_, sk_X23_))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('11', plain, 110.97/111.25 ![X0]: 110.97/111.25 (~ in(setminus(sk_X21_, sk_X22_), powerset(X0)) 110.97/111.25 | ~ in(sk_X24_, X0) 110.97/111.25 | ~ in(sk_X24_, setminus(sk_X21_, sk_X22_)) 110.97/111.25 | ~ in(setminus(sk_X21_, sk_X23_), powerset(X0))), 110.97/111.25 inference('sup-', [status(thm)], ['9', '10'])). 110.97/111.25 tff('12', plain, 110.97/111.25 (~ in(sk_X23_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, setminus(sk_X21_, sk_X22_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(setminus(sk_X21_, sk_X22_), powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['8', '11'])). 110.97/111.25 tff('13', plain, 110.97/111.25 (~ in(sk_X22_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X24_, setminus(sk_X21_, sk_X22_)) 110.97/111.25 | ~ in(sk_X23_, powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['8', '12'])). 110.97/111.25 tff('14', plain, 110.97/111.25 (~ in(sk_X22_, powerset(sk_X21_)) 110.97/111.25 | in(sk_X24_, sk_X22_) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X23_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X22_, powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['7', '13'])). 110.97/111.25 tff('15', plain, 110.97/111.25 (~ in(sk_X23_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | in(sk_X24_, sk_X22_) 110.97/111.25 | ~ in(sk_X22_, powerset(sk_X21_))), 110.97/111.25 inference('simplify', [status(thm)], ['14'])). 110.97/111.25 tff('16', plain, 110.97/111.25 (~ in(sk_X22_, powerset(sk_X21_)) 110.97/111.25 | in(sk_X24_, sk_X22_) 110.97/111.25 | ~ in(sk_X24_, sk_X21_)), 110.97/111.25 inference('sup-', [status(thm)], ['6', '15'])). 110.97/111.25 tff('17', plain, in(sk_X22_, powerset(sk_X21_)), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('18', plain, (~ in(sk_X24_, sk_X21_) | in(sk_X24_, sk_X22_)), 110.97/111.25 inference('clc', [status(thm)], ['16', '17'])). 110.97/111.25 tff('19', plain, in(sk_X24_, sk_X21_), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('20', plain, in(sk_X24_, sk_X22_), 110.97/111.25 inference('clc', [status(thm)], ['18', '19'])). 110.97/111.25 tff('21', plain, 110.97/111.25 ![X28, X29, X30, X31]: 110.97/111.25 (~ in(X28, powerset(X29)) 110.97/111.25 | in(X30, binunion(X31, X28)) 110.97/111.25 | ~ in(X30, X28) 110.97/111.25 | ~ in(X30, X29) 110.97/111.25 | ~ in(X31, powerset(X29))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('22', plain, 110.97/111.25 ![X0]: 110.97/111.25 (~ in(setminus(sk_X21_, sk_X22_), powerset(X0)) 110.97/111.25 | ~ in(sk_X24_, X0) 110.97/111.25 | ~ in(sk_X24_, setminus(sk_X21_, sk_X23_)) 110.97/111.25 | ~ in(setminus(sk_X21_, sk_X23_), powerset(X0))), 110.97/111.25 inference('sup-', [status(thm)], ['21', '10'])). 110.97/111.25 tff('23', plain, 110.97/111.25 (~ in(sk_X23_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, setminus(sk_X21_, sk_X23_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(setminus(sk_X21_, sk_X22_), powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['8', '22'])). 110.97/111.25 tff('24', plain, 110.97/111.25 (~ in(sk_X22_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X24_, setminus(sk_X21_, sk_X23_)) 110.97/111.25 | ~ in(sk_X23_, powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['8', '23'])). 110.97/111.25 tff('25', plain, 110.97/111.25 (~ in(sk_X23_, powerset(sk_X21_)) 110.97/111.25 | in(sk_X24_, sk_X23_) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X23_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X22_, powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['7', '24'])). 110.97/111.25 tff('26', plain, 110.97/111.25 (~ in(sk_X22_, powerset(sk_X21_)) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | in(sk_X24_, sk_X23_) 110.97/111.25 | ~ in(sk_X23_, powerset(sk_X21_))), 110.97/111.25 inference('simplify', [status(thm)], ['25'])). 110.97/111.25 tff('27', plain, 110.97/111.25 (in(sk_X24_, sk_X23_) 110.97/111.25 | ~ in(sk_X24_, sk_X21_) 110.97/111.25 | ~ in(sk_X22_, powerset(sk_X21_))), 110.97/111.25 inference('sup-', [status(thm)], ['6', '26'])). 110.97/111.25 tff('28', plain, (~ in(sk_X22_, powerset(sk_X21_)) | in(sk_X24_, sk_X23_)), 110.97/111.25 inference('clc', [status(thm)], ['27', '19'])). 110.97/111.25 tff('29', plain, in(sk_X24_, sk_X23_), 110.97/111.25 inference('clc', [status(thm)], ['28', '17'])). 110.97/111.25 tff('30', plain, 110.97/111.25 ![X19, X20, X21]: 110.97/111.25 (~ in(X19, X20) | in(X19, binintersect(X21, X20)) | ~ in(X19, X21)), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('31', plain, 110.97/111.25 in(sk_X24_, setminus(sk_X21_, binintersect(sk_X22_, sk_X23_))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('32', plain, 110.97/111.25 ![X35, X36, X37]: (~ in(X35, X36) | ~ in(X35, setminus(X37, X36))), 110.97/111.25 inference('cnf', [status(esa)], [zf_stmt_1])). 110.97/111.25 tff('33', plain, ~ in(sk_X24_, binintersect(sk_X22_, sk_X23_)), 110.97/111.25 inference('sup-', [status(thm)], ['31', '32'])). 110.97/111.25 tff('34', plain, (~ in(sk_X24_, sk_X22_) | ~ in(sk_X24_, sk_X23_)), 110.97/111.25 inference('sup-', [status(thm)], ['30', '33'])). 110.97/111.25 tff('35', plain, ~ in(sk_X24_, sk_X22_), 110.97/111.25 inference('sup-', [status(thm)], ['29', '34'])). 110.97/111.25 tff('36', plain, $false, inference('sup-', [status(thm)], ['20', '35'])). 110.97/111.25 110.97/111.25 % SZS output end Refutation 110.97/111.25 % Zipperpin 1.5 exiting 110.97/111.25 EOF