0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.0fUDxdAQff 0.14/0.35 % Computer : n005.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % DateTime : Tue Jul 13 15:24:33 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.52/0.67 % Estimated wc time : 1286 0.52/0.67 % Estimated cpu time (7 cpus) : 183.71428571428572 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 70.75/10.79 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 70.75/10.85 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 103.44/15.60 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 103.74/15.67 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 146.10/21.75 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 146.10/21.76 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 171.66/25.53 % Solved by lams/s4.sh. 171.66/25.53 % done 1586 iterations in 3.746s 171.66/25.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 171.66/25.53 % SZS output start Refutation 171.66/25.53 tff(cPROB757, conjecture, 171.66/25.53 (((![Xx1,Xx2,Xy1,Xy2]: 171.66/25.53 ((el1(Xx2,cHH_1) & (Xx1 = Xx2) & (Xy1 = Xy2) & el1(Xy2,cHH_1) & 171.66/25.53 el1(Xy1,cHH_1) & el1(Xx1,cHH_1)) => 171.66/25.53 (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 171.66/25.53 ((![Xx,Xy]: 171.66/25.53 ((el1(Xx,cHH_1) & el1(Xy,cHH_1)) => 171.66/25.53 (cBIGPHI(cTIMES(Xx,Xy)) = cTIMES(cBIGPHI(Xx),cBIGPHI(Xy))))) <=> 171.66/25.53 cHOM_FROM_HH_1(cBIGPHI)) & 171.66/25.53 (![Xx,Xy]: ((el1(Xy,cHH_1) & el1(Xx,cHH_1)) => el1(cTIMES(Xx,Xy),cHH_1))) & 171.66/25.53 (![Xx,Xy]: 171.66/25.53 (((Xx = Xy) & el1(Xy,cHH_1) & el1(Xx,cHH_1)) => 171.66/25.53 (cBIGHI(Xx) = cBIGPHI(Xy)))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => (cBIGPHI(cPHI_1(Xx)) = cPHI_2(Xx)))) & 171.66/25.53 cHOM_FROM_SS_PRIME(cPHI_1) & cHOM_FROM_SS_PRIME(cPHI_2) & 171.66/25.53 (![Xy]: 171.66/25.53 (el1(Xy,cHH_1) => (?[Xx]: (el1(Xx,cSS_PRIME) & (cPHI_1(Xx) = Xy))))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_1(Xx),cHH_1))) & 171.66/25.53 (![Xx]: (el1(Xx,cHH_1) => el1(cBIGPHI(Xx),cHH_2))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_2(Xx),cHH_2))) & 171.66/25.53 (![Xphi:(($i > $i))]: 171.66/25.53 ((![Xx,Xy]: 171.66/25.53 ((el1(Xy,cSS_PRIME) & el1(Xx,cSS_PRIME)) => 171.66/25.53 (Xphi(cTIMES(Xx,Xy)) = cTIMES(Xphi(Xx),Xphi(Xy))))) <=> 171.66/25.53 cHOM_FROM_SS_PRIME(Xphi))) & 171.66/25.53 (![Xx1,Xx2]: 171.66/25.53 ((el1(Xx1,cSS_PRIME) & el1(Xx2,cSS_PRIME)) => 171.66/25.53 el1(cTIMES(Xx1,Xx2),cSS_PRIME))) & 171.66/25.53 (![Xx1,Xx2,Xy1,Xy2]: 171.66/25.53 ((el1(Xx2,cHH_2) & el1(Xy1,cHH_2) & (Xx1 = Xx2) & (Xy1 = Xy2) & 171.66/25.53 el1(Xy2,cHH_2) & el1(Xx1,cHH_2)) => 171.66/25.53 (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2))))) => 171.66/25.53 cHOM_FROM_HH_1(cBIGPHI))). 171.66/25.53 tff(zf_stmt_0, axiom, 171.66/25.53 (zip_tseitin_1(Xy,Xx) <=> 171.66/25.53 (zip_tseitin_0(Xy,Xx) => 171.66/25.53 (cBIGPHI(cTIMES(Xx,Xy)) = cTIMES(cBIGPHI(Xx),cBIGPHI(Xy)))))). 171.66/25.53 tff('0', plain, ![X0, X1]: ( zip_tseitin_1(X0, X1) | zip_tseitin_0(X0, X1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_0])). 171.66/25.53 tff(zf_stmt_1, type, zip_tseitin_3 : ($i * $i * ($i > $i)) > $o). 171.66/25.53 tff(zf_stmt_2, axiom, 171.66/25.53 (zip_tseitin_3(Xy,Xx,Xphi) <=> 171.66/25.53 (zip_tseitin_2(Xy,Xx) => (Xphi(cTIMES(Xx,Xy)) = cTIMES(Xphi(Xx),Xphi(Xy)))))). 171.66/25.53 tff(zf_stmt_3, type, zip_tseitin_2 : ($i * $i) > $o). 171.66/25.53 tff(zf_stmt_4, axiom, 171.66/25.53 (zip_tseitin_2(Xy,Xx) <=> (el1(Xx,cSS_PRIME) & el1(Xy,cSS_PRIME)))). 171.66/25.53 tff(zf_stmt_5, type, zip_tseitin_1 : ($i * $i) > $o). 171.66/25.53 tff(zf_stmt_6, type, zip_tseitin_0 : ($i * $i) > $o). 171.66/25.53 tff(zf_stmt_7, axiom, 171.66/25.53 (zip_tseitin_0(Xy,Xx) <=> (el1(Xy,cHH_1) & el1(Xx,cHH_1)))). 171.66/25.53 tff(zf_stmt_8, conjecture, 171.66/25.53 (((![Xx1,Xx2,Xy1,Xy2]: 171.66/25.53 ((el1(Xx1,cHH_2) & el1(Xy2,cHH_2) & (Xy1 = Xy2) & (Xx1 = Xx2) & 171.66/25.53 el1(Xy1,cHH_2) & el1(Xx2,cHH_2)) => 171.66/25.53 (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 171.66/25.53 (![Xx1,Xx2]: 171.66/25.53 ((el1(Xx2,cSS_PRIME) & el1(Xx1,cSS_PRIME)) => 171.66/25.53 el1(cTIMES(Xx1,Xx2),cSS_PRIME))) & 171.66/25.53 (![Xphi:(($i > $i))]: 171.66/25.53 ((![Xx,Xy]: zip_tseitin_3(Xy,Xx,Xphi)) <=> cHOM_FROM_SS_PRIME(Xphi))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_2(Xx),cHH_2))) & 171.66/25.53 (![Xx]: (el1(Xx,cHH_1) => el1(cBIGPHI(Xx),cHH_2))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_1(Xx),cHH_1))) & 171.66/25.53 (![Xy]: 171.66/25.53 (el1(Xy,cHH_1) => (?[Xx]: ((cPHI_1(Xx) = Xy) & el1(Xx,cSS_PRIME))))) & 171.66/25.53 cHOM_FROM_SS_PRIME(cPHI_2) & cHOM_FROM_SS_PRIME(cPHI_1) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => (cBIGPHI(cPHI_1(Xx)) = cPHI_2(Xx)))) & 171.66/25.53 (![Xx,Xy]: 171.66/25.53 ((el1(Xx,cHH_1) & el1(Xy,cHH_1) & (Xx = Xy)) => 171.66/25.53 (cBIGHI(Xx) = cBIGPHI(Xy)))) & 171.66/25.53 (![Xx,Xy]: ((el1(Xx,cHH_1) & el1(Xy,cHH_1)) => el1(cTIMES(Xx,Xy),cHH_1))) & 171.66/25.53 ((![Xx,Xy]: zip_tseitin_1(Xy,Xx)) <=> cHOM_FROM_HH_1(cBIGPHI)) & 171.66/25.53 (![Xx1,Xx2,Xy1,Xy2]: 171.66/25.53 ((el1(Xx1,cHH_1) & el1(Xy1,cHH_1) & el1(Xy2,cHH_1) & (Xy1 = Xy2) & 171.66/25.53 (Xx1 = Xx2) & el1(Xx2,cHH_1)) => 171.66/25.53 (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2))))) => 171.66/25.53 cHOM_FROM_HH_1(cBIGPHI))). 171.66/25.53 tff(zf_stmt_9, negated_conjecture, 171.66/25.53 (~ 171.66/25.53 (((![Xx1,Xx2,Xy1,Xy2]: 171.66/25.53 ((el1(Xx1,cHH_2) & el1(Xy2,cHH_2) & (Xy1 = Xy2) & (Xx1 = Xx2) & 171.66/25.53 el1(Xy1,cHH_2) & el1(Xx2,cHH_2)) => 171.66/25.53 (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 171.66/25.53 (![Xx1,Xx2]: 171.66/25.53 ((el1(Xx2,cSS_PRIME) & el1(Xx1,cSS_PRIME)) => 171.66/25.53 el1(cTIMES(Xx1,Xx2),cSS_PRIME))) & 171.66/25.53 (![Xphi:(($i > $i))]: 171.66/25.53 ((![Xx,Xy]: zip_tseitin_3(Xy,Xx,Xphi)) <=> cHOM_FROM_SS_PRIME(Xphi))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_2(Xx),cHH_2))) & 171.66/25.53 (![Xx]: (el1(Xx,cHH_1) => el1(cBIGPHI(Xx),cHH_2))) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_1(Xx),cHH_1))) & 171.66/25.53 (![Xy]: 171.66/25.53 (el1(Xy,cHH_1) => (?[Xx]: ((cPHI_1(Xx) = Xy) & el1(Xx,cSS_PRIME))))) & 171.66/25.53 cHOM_FROM_SS_PRIME(cPHI_2) & cHOM_FROM_SS_PRIME(cPHI_1) & 171.66/25.53 (![Xx]: (el1(Xx,cSS_PRIME) => (cBIGPHI(cPHI_1(Xx)) = cPHI_2(Xx)))) & 171.66/25.53 (![Xx,Xy]: 171.66/25.53 ((el1(Xx,cHH_1) & el1(Xy,cHH_1) & (Xx = Xy)) => 171.66/25.53 (cBIGHI(Xx) = cBIGPHI(Xy)))) & 171.66/25.53 (![Xx,Xy]: 171.66/25.53 ((el1(Xx,cHH_1) & el1(Xy,cHH_1)) => el1(cTIMES(Xx,Xy),cHH_1))) & 171.66/25.53 ((![Xx,Xy]: zip_tseitin_1(Xy,Xx)) <=> cHOM_FROM_HH_1(cBIGPHI)) & 171.66/25.53 (![Xx1,Xx2,Xy1,Xy2]: 171.66/25.53 ((el1(Xx1,cHH_1) & el1(Xy1,cHH_1) & el1(Xy2,cHH_1) & (Xy1 = Xy2) & 171.66/25.53 (Xx1 = Xx2) & el1(Xx2,cHH_1)) => 171.66/25.53 (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2))))) => 171.66/25.53 cHOM_FROM_HH_1(cBIGPHI)))). 171.66/25.53 tff('1', plain, ( cHOM_FROM_HH_1(cBIGPHI) | ~ zip_tseitin_1(sk_Xy, sk_Xx)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('2', plain, ~ cHOM_FROM_HH_1(cBIGPHI), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('3', plain, ~ zip_tseitin_1(sk_Xy, sk_Xx), 171.66/25.53 inference('clc', [status(thm)], ['1', '2'])). 171.66/25.53 tff('4', plain, zip_tseitin_0(sk_Xy, sk_Xx), 171.66/25.53 inference('sup-', [status(thm)], ['0', '3'])). 171.66/25.53 tff('5', plain, ![X0, X1]: ( el1(X1, cHH_1) | ~ zip_tseitin_0(X0, X1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_7])). 171.66/25.53 tff('6', plain, el1(sk_Xx, cHH_1), 171.66/25.53 inference('sup-', [status(thm)], ['4', '5'])). 171.66/25.53 tff('7', plain, ![X18]: ( el1(sk_Xx_1(X18), cSS_PRIME) | ~ el1(X18, cHH_1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('8', plain, el1(sk_Xx_1(sk_Xx), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['6', '7'])). 171.66/25.53 tff('9', plain, zip_tseitin_0(sk_Xy, sk_Xx), 171.66/25.53 inference('sup-', [status(thm)], ['0', '3'])). 171.66/25.53 tff('10', plain, ![X0, X1]: ( el1(X0, cHH_1) | ~ zip_tseitin_0(X0, X1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_7])). 171.66/25.53 tff('11', plain, el1(sk_Xy, cHH_1), 171.66/25.53 inference('sup-', [status(thm)], ['9', '10'])). 171.66/25.53 tff('12', plain, ![X18]: ( el1(sk_Xx_1(X18), cSS_PRIME) | ~ el1(X18, cHH_1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('13', plain, el1(sk_Xx_1(sk_Xy), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['11', '12'])). 171.66/25.53 tff('14', plain, 171.66/25.53 ![X2, X3]: 171.66/25.53 ( zip_tseitin_2(X3, X2) | ~ el1(X3, cSS_PRIME) | ~ el1(X2, cSS_PRIME)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_4])). 171.66/25.53 tff('15', plain, 171.66/25.53 ![X0]: (~ el1(X0, cSS_PRIME) | zip_tseitin_2(sk_Xx_1(sk_Xy), X0)), 171.66/25.53 inference('sup-', [status(thm)], ['13', '14'])). 171.66/25.53 tff('16', plain, zip_tseitin_2(sk_Xx_1(sk_Xy), sk_Xx_1(sk_Xx)), 171.66/25.53 inference('sup-', [status(thm)], ['8', '15'])). 171.66/25.53 tff('17', plain, 171.66/25.53 ![X2, X3, X4 : $i > $i]: 171.66/25.53 (~ zip_tseitin_2(X3, X2) 171.66/25.53 | X4(cTIMES(X2, X3)) = cTIMES(X4(X2), X4(X3)) 171.66/25.53 | ~ zip_tseitin_3(X3, X2, X4)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_2])). 171.66/25.53 tff('18', plain, 171.66/25.53 ![X0 : $i > $i]: 171.66/25.53 (~ zip_tseitin_3(sk_Xx_1(sk_Xy), sk_Xx_1(sk_Xx), X0) 171.66/25.53 | X0(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy))) 171.66/25.53 = cTIMES(X0(sk_Xx_1(sk_Xx)), X0(sk_Xx_1(sk_Xy)))), 171.66/25.53 inference('sup-', [status(thm)], ['16', '17'])). 171.66/25.53 tff('19', plain, cHOM_FROM_SS_PRIME(cPHI_1), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('20', plain, 171.66/25.53 ![X11, X12, X13 : $i > $i]: 171.66/25.53 ( zip_tseitin_3(X11, X12, X13) | ~ cHOM_FROM_SS_PRIME(X13)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('21', plain, ![X0, X1]: zip_tseitin_3(X1, X0, cPHI_1), 171.66/25.53 inference('sup-', [status(thm)], ['19', '20'])). 171.66/25.53 tff('22', plain, 171.66/25.53 ![X0 : $i > $i]: 171.66/25.53 (~ zip_tseitin_3(sk_Xx_1(sk_Xy), sk_Xx_1(sk_Xx), X0) 171.66/25.53 | X0(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy))) 171.66/25.53 = cTIMES(X0(sk_Xx_1(sk_Xx)), X0(sk_Xx_1(sk_Xy)))), 171.66/25.53 inference('sup-', [status(thm)], ['16', '17'])). 171.66/25.53 tff('23', plain, 171.66/25.53 ![X0, X1]: 171.66/25.53 ( zip_tseitin_1(X0, X1) 171.66/25.53 | cBIGPHI(cTIMES(X1, X0)) != cTIMES(cBIGPHI(X1), cBIGPHI(X0))), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_0])). 171.66/25.53 tff('24', plain, 171.66/25.53 ![X0 : $i > $i]: 171.66/25.53 (cBIGPHI(X0(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy)))) 171.66/25.53 != cTIMES(cBIGPHI(X0(sk_Xx_1(sk_Xx))), cBIGPHI(X0(sk_Xx_1(sk_Xy)))) 171.66/25.53 | ~ zip_tseitin_3(sk_Xx_1(sk_Xy), sk_Xx_1(sk_Xx), X0) 171.66/25.53 | zip_tseitin_1(X0(sk_Xx_1(sk_Xy)), X0(sk_Xx_1(sk_Xx)))), 171.66/25.53 inference('sup-', [status(thm)], ['22', '23'])). 171.66/25.53 tff('25', plain, 171.66/25.53 ( zip_tseitin_1(cPHI_1(sk_Xx_1(sk_Xy)), cPHI_1(sk_Xx_1(sk_Xx))) 171.66/25.53 | cBIGPHI(cPHI_1(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy)))) 171.66/25.53 != cTIMES(cBIGPHI(cPHI_1(sk_Xx_1(sk_Xx))), 171.66/25.53 cBIGPHI(cPHI_1(sk_Xx_1(sk_Xy))))), 171.66/25.53 inference('sup-', [status(thm)], ['21', '24'])). 171.66/25.53 tff('26', plain, el1(sk_Xy, cHH_1), 171.66/25.53 inference('sup-', [status(thm)], ['9', '10'])). 171.66/25.53 tff('27', plain, ![X18]: (cPHI_1(sk_Xx_1(X18)) = X18 | ~ el1(X18, cHH_1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('28', plain, cPHI_1(sk_Xx_1(sk_Xy)) = sk_Xy, 171.66/25.53 inference('sup-', [status(thm)], ['26', '27'])). 171.66/25.53 tff('29', plain, el1(sk_Xx, cHH_1), 171.66/25.53 inference('sup-', [status(thm)], ['4', '5'])). 171.66/25.53 tff('30', plain, ![X18]: (cPHI_1(sk_Xx_1(X18)) = X18 | ~ el1(X18, cHH_1)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('31', plain, cPHI_1(sk_Xx_1(sk_Xx)) = sk_Xx, 171.66/25.53 inference('sup-', [status(thm)], ['29', '30'])). 171.66/25.53 tff('32', plain, el1(sk_Xx_1(sk_Xy), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['11', '12'])). 171.66/25.53 tff('33', plain, el1(sk_Xx_1(sk_Xx), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['6', '7'])). 171.66/25.53 tff('34', plain, 171.66/25.53 ![X9, X10]: 171.66/25.53 (~ el1(X9, cSS_PRIME) 171.66/25.53 | ~ el1(X10, cSS_PRIME) 171.66/25.53 | el1(cTIMES(X9, X10), cSS_PRIME)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('35', plain, 171.66/25.53 ![X0]: 171.66/25.53 ( el1(cTIMES(sk_Xx_1(sk_Xx), X0), cSS_PRIME) | ~ el1(X0, cSS_PRIME)), 171.66/25.53 inference('sup-', [status(thm)], ['33', '34'])). 171.66/25.53 tff('36', plain, el1(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy)), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['32', '35'])). 171.66/25.53 tff('37', plain, 171.66/25.53 ![X19]: (cBIGPHI(cPHI_1(X19)) = cPHI_2(X19) | ~ el1(X19, cSS_PRIME)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('38', plain, 171.66/25.53 cBIGPHI(cPHI_1(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy)))) 171.66/25.53 = cPHI_2(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy))), 171.66/25.53 inference('sup-', [status(thm)], ['36', '37'])). 171.66/25.53 tff('39', plain, cPHI_1(sk_Xx_1(sk_Xx)) = sk_Xx, 171.66/25.53 inference('sup-', [status(thm)], ['29', '30'])). 171.66/25.53 tff('40', plain, cPHI_1(sk_Xx_1(sk_Xy)) = sk_Xy, 171.66/25.53 inference('sup-', [status(thm)], ['26', '27'])). 171.66/25.53 tff('41', plain, 171.66/25.53 ( zip_tseitin_1(sk_Xy, sk_Xx) 171.66/25.53 | cPHI_2(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy))) 171.66/25.53 != cTIMES(cBIGPHI(sk_Xx), cBIGPHI(sk_Xy))), 171.66/25.53 inference('demod', [status(thm)], ['25', '28', '31', '38', '39', '40'])). 171.66/25.53 tff('42', plain, ~ zip_tseitin_1(sk_Xy, sk_Xx), 171.66/25.53 inference('clc', [status(thm)], ['1', '2'])). 171.66/25.53 tff('43', plain, 171.66/25.53 cPHI_2(cTIMES(sk_Xx_1(sk_Xx), sk_Xx_1(sk_Xy))) 171.66/25.53 != cTIMES(cBIGPHI(sk_Xx), cBIGPHI(sk_Xy)), 171.66/25.53 inference('clc', [status(thm)], ['41', '42'])). 171.66/25.53 tff('44', plain, 171.66/25.53 (cTIMES(cPHI_2(sk_Xx_1(sk_Xx)), cPHI_2(sk_Xx_1(sk_Xy))) 171.66/25.53 != cTIMES(cBIGPHI(sk_Xx), cBIGPHI(sk_Xy)) 171.66/25.53 | ~ zip_tseitin_3(sk_Xx_1(sk_Xy), sk_Xx_1(sk_Xx), cPHI_2)), 171.66/25.53 inference('sup-', [status(thm)], ['18', '43'])). 171.66/25.53 tff('45', plain, el1(sk_Xx_1(sk_Xx), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['6', '7'])). 171.66/25.53 tff('46', plain, 171.66/25.53 ![X19]: (cBIGPHI(cPHI_1(X19)) = cPHI_2(X19) | ~ el1(X19, cSS_PRIME)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('47', plain, cBIGPHI(cPHI_1(sk_Xx_1(sk_Xx))) = cPHI_2(sk_Xx_1(sk_Xx)), 171.66/25.53 inference('sup-', [status(thm)], ['45', '46'])). 171.66/25.53 tff('48', plain, cPHI_1(sk_Xx_1(sk_Xx)) = sk_Xx, 171.66/25.53 inference('sup-', [status(thm)], ['29', '30'])). 171.66/25.53 tff('49', plain, cBIGPHI(sk_Xx) = cPHI_2(sk_Xx_1(sk_Xx)), 171.66/25.53 inference('demod', [status(thm)], ['47', '48'])). 171.66/25.53 tff('50', plain, el1(sk_Xx_1(sk_Xy), cSS_PRIME), 171.66/25.53 inference('sup-', [status(thm)], ['11', '12'])). 171.66/25.53 tff('51', plain, 171.66/25.53 ![X19]: (cBIGPHI(cPHI_1(X19)) = cPHI_2(X19) | ~ el1(X19, cSS_PRIME)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('52', plain, cBIGPHI(cPHI_1(sk_Xx_1(sk_Xy))) = cPHI_2(sk_Xx_1(sk_Xy)), 171.66/25.53 inference('sup-', [status(thm)], ['50', '51'])). 171.66/25.53 tff('53', plain, cPHI_1(sk_Xx_1(sk_Xy)) = sk_Xy, 171.66/25.53 inference('sup-', [status(thm)], ['26', '27'])). 171.66/25.53 tff('54', plain, cBIGPHI(sk_Xy) = cPHI_2(sk_Xx_1(sk_Xy)), 171.66/25.53 inference('demod', [status(thm)], ['52', '53'])). 171.66/25.53 tff('55', plain, cHOM_FROM_SS_PRIME(cPHI_2), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('56', plain, 171.66/25.53 ![X11, X12, X13 : $i > $i]: 171.66/25.53 ( zip_tseitin_3(X11, X12, X13) | ~ cHOM_FROM_SS_PRIME(X13)), 171.66/25.53 inference('cnf', [status(esa)], [zf_stmt_9])). 171.66/25.53 tff('57', plain, ![X0, X1]: zip_tseitin_3(X1, X0, cPHI_2), 171.66/25.53 inference('sup-', [status(thm)], ['55', '56'])). 171.66/25.53 tff('58', plain, 171.66/25.53 cTIMES(cBIGPHI(sk_Xx), cBIGPHI(sk_Xy)) 171.66/25.53 != cTIMES(cBIGPHI(sk_Xx), cBIGPHI(sk_Xy)), 171.66/25.53 inference('demod', [status(thm)], ['44', '49', '54', '57'])). 171.66/25.53 tff('59', plain, $false, inference('simplify', [status(thm)], ['58'])). 171.66/25.53 171.66/25.53 % SZS output end Refutation 171.66/25.53 171.66/25.53 171.66/25.53 % Terminating... 172.29/25.62 % Runner terminated. 172.29/25.63 % Zipperpin 1.5 exiting 172.29/25.63 EOF