%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG112+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Lu8zHx6jna true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:50:34 PM UTC 2025
% Result : Theorem 4.06s 1.17s
% Output : Refutation 4.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG112+4 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Lu8zHx6jna true
% 0.13/0.34 % Computer : n002.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:21:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.40/0.63 % Total configuration time : 435
% 0.40/0.63 % Estimated wc time : 1092
% 0.40/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 4.06/1.17 % Solved by fo/fo1_av.sh.
% 4.06/1.17 % done 759 iterations in 0.426s
% 4.06/1.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.06/1.17 % SZS output start Refutation
% 4.06/1.17 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 4.06/1.17 thf(aElement0_type, type, aElement0: $i > $o).
% 4.06/1.17 thf(sdtpldt1_type, type, sdtpldt1: $i > $i > $i).
% 4.06/1.17 thf(xI_type, type, xI: $i).
% 4.06/1.17 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $o).
% 4.06/1.17 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 4.06/1.17 thf(xa_type, type, xa: $i).
% 4.06/1.17 thf(sz00_type, type, sz00: $i).
% 4.06/1.17 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 4.06/1.17 thf(sk__38_type, type, sk__38: $i).
% 4.06/1.17 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $o).
% 4.06/1.17 thf(slsdtgt0_type, type, slsdtgt0: $i > $i).
% 4.06/1.17 thf(aIdeal0_type, type, aIdeal0: $i > $o).
% 4.06/1.17 thf(iLess0_type, type, iLess0: $i > $i > $o).
% 4.06/1.17 thf(sk__39_type, type, sk__39: $i > $i).
% 4.06/1.17 thf(zip_tseitin_11_type, type, zip_tseitin_11: $i > $i > $i > $o).
% 4.06/1.17 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 4.06/1.17 thf(sk__33_type, type, sk__33: $i).
% 4.06/1.17 thf(aSet0_type, type, aSet0: $i > $o).
% 4.06/1.17 thf(xb_type, type, xb: $i).
% 4.06/1.17 thf(m__, conjecture,
% 4.06/1.17 (?[W0:$i]:
% 4.06/1.17 ( ( ![W1:$i]:
% 4.06/1.17 ( ( ( ?[W2:$i,W3:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W2 @ W3 ) = ( W1 ) ) &
% 4.06/1.17 ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ xI ) & ( ( W1 ) != ( sz00 ) ) ) =>
% 4.06/1.17 ( ~( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) ) ) ) ) &
% 4.06/1.17 ( ( W0 ) != ( sz00 ) ) &
% 4.06/1.17 ( ( aElementOf0 @ W0 @ xI ) |
% 4.06/1.17 ( ?[W1:$i,W2:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) ) ))).
% 4.06/1.17 thf(zf_stmt_0, negated_conjecture,
% 4.06/1.17 (~( ?[W0:$i]:
% 4.06/1.17 ( ( ![W1:$i]:
% 4.06/1.17 ( ( ( ?[W2:$i,W3:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W2 @ W3 ) = ( W1 ) ) &
% 4.06/1.17 ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ xI ) & ( ( W1 ) != ( sz00 ) ) ) =>
% 4.06/1.17 ( ~( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) ) ) ) ) &
% 4.06/1.17 ( ( W0 ) != ( sz00 ) ) &
% 4.06/1.17 ( ( aElementOf0 @ W0 @ xI ) |
% 4.06/1.17 ( ?[W1:$i,W2:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) ) ) )),
% 4.06/1.17 inference('cnf.neg', [status(esa)], [m__])).
% 4.06/1.17 thf(zip_derived_cl168, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 ( (iLess0 @ (sbrdtbr0 @ (sk__39 @ X0)) @ (sbrdtbr0 @ X0))
% 4.06/1.17 | ((X0) = (sz00))
% 4.06/1.17 | ~ (aElementOf0 @ X0 @ xI))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.06/1.17 thf(m__2351, axiom,
% 4.06/1.17 (![W0:$i]:
% 4.06/1.17 ( ( ( ( W0 ) != ( sz00 ) ) &
% 4.06/1.17 ( ( aElementOf0 @ W0 @ xI ) |
% 4.06/1.17 ( ?[W1:$i,W2:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) ) ) ) ) =>
% 4.06/1.17 ( ?[W1:$i]:
% 4.06/1.17 ( ( ?[W2:$i,W3:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) &
% 4.06/1.17 ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( ( sdtpldt0 @ W2 @ W3 ) = ( W1 ) ) ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ xI ) & ( ( W1 ) != ( sz00 ) ) &
% 4.06/1.17 ( ![W2:$i]:
% 4.06/1.17 ( ( ( ( W2 ) != ( sz00 ) ) &
% 4.06/1.17 ( ( aElementOf0 @ W2 @ xI ) |
% 4.06/1.17 ( ?[W3:$i,W4:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) ) &
% 4.06/1.17 ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( ( sdtpldt0 @ W3 @ W4 ) = ( W2 ) ) ) ) ) ) =>
% 4.06/1.17 ( ~( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) ) ) ))).
% 4.06/1.17 thf(zf_stmt_1, axiom,
% 4.06/1.17 (![W1:$i]:
% 4.06/1.17 ( ( zip_tseitin_12 @ W1 ) =>
% 4.06/1.17 ( ( ![W2:$i]:
% 4.06/1.17 ( ( ( zip_tseitin_10 @ W2 ) & ( ( W2 ) != ( sz00 ) ) ) =>
% 4.06/1.17 ( ~( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) &
% 4.06/1.17 ( ( W1 ) != ( sz00 ) ) & ( aElementOf0 @ W1 @ xI ) &
% 4.06/1.17 ( ?[W2:$i,W3:$i]: ( zip_tseitin_11 @ W3 @ W2 @ W1 ) ) ) ))).
% 4.06/1.17 thf(zip_derived_cl162, plain,
% 4.06/1.17 (![X0 : $i, X1 : $i]:
% 4.06/1.17 (~ (zip_tseitin_10 @ X0)
% 4.06/1.17 | ((X0) = (sz00))
% 4.06/1.17 | ~ (iLess0 @ (sbrdtbr0 @ X0) @ (sbrdtbr0 @ X1))
% 4.06/1.17 | ~ (zip_tseitin_12 @ X1))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.06/1.17 thf(zip_derived_cl3282, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (~ (aElementOf0 @ X0 @ xI)
% 4.06/1.17 | ((X0) = (sz00))
% 4.06/1.17 | ~ (zip_tseitin_10 @ (sk__39 @ X0))
% 4.06/1.17 | ((sk__39 @ X0) = (sz00))
% 4.06/1.17 | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl162])).
% 4.06/1.17 thf(zip_derived_cl164, plain,
% 4.06/1.17 (![X0 : $i]: ( (aElementOf0 @ X0 @ xI) | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.06/1.17 thf(zip_derived_cl3742, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (~ (zip_tseitin_12 @ X0)
% 4.06/1.17 | ((sk__39 @ X0) = (sz00))
% 4.06/1.17 | ~ (zip_tseitin_10 @ (sk__39 @ X0))
% 4.06/1.17 | ((X0) = (sz00)))),
% 4.06/1.17 inference('clc', [status(thm)], [zip_derived_cl3282, zip_derived_cl164])).
% 4.06/1.17 thf(zip_derived_cl163, plain,
% 4.06/1.17 (![X0 : $i]: (((X0) != (sz00)) | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.06/1.17 thf(zip_derived_cl3743, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (~ (zip_tseitin_10 @ (sk__39 @ X0))
% 4.06/1.17 | ((sk__39 @ X0) = (sz00))
% 4.06/1.17 | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('clc', [status(thm)], [zip_derived_cl3742, zip_derived_cl163])).
% 4.06/1.17 thf(zf_stmt_2, axiom,
% 4.06/1.17 (![W0:$i]:
% 4.06/1.17 ( ( ( ?[W1:$i,W2:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) |
% 4.06/1.17 ( aElementOf0 @ W0 @ xI ) ) =>
% 4.06/1.17 ( zip_tseitin_10 @ W0 ) ))).
% 4.06/1.17 thf(zip_derived_cl158, plain,
% 4.06/1.17 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | ~ (aElementOf0 @ X0 @ xI))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.06/1.17 thf(zip_derived_cl3744, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (~ (zip_tseitin_12 @ X0)
% 4.06/1.17 | ((sk__39 @ X0) = (sz00))
% 4.06/1.17 | ~ (aElementOf0 @ (sk__39 @ X0) @ xI))),
% 4.06/1.17 inference('s_sup+', [status(thm)],
% 4.06/1.17 [zip_derived_cl3743, zip_derived_cl158])).
% 4.06/1.17 thf(zip_derived_cl172, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 ( (aElementOf0 @ (sk__39 @ X0) @ xI)
% 4.06/1.17 | ((X0) = (sz00))
% 4.06/1.17 | ~ (aElementOf0 @ X0 @ xI))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.06/1.17 thf(zip_derived_cl3755, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (((sk__39 @ X0) = (sz00))
% 4.06/1.17 | ~ (zip_tseitin_12 @ X0)
% 4.06/1.17 | ((X0) = (sz00))
% 4.06/1.17 | ~ (aElementOf0 @ X0 @ xI))),
% 4.06/1.17 inference('s_sup+', [status(thm)],
% 4.06/1.17 [zip_derived_cl3744, zip_derived_cl172])).
% 4.06/1.17 thf(zip_derived_cl170, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (((sk__39 @ X0) != (sz00))
% 4.06/1.17 | ((X0) = (sz00))
% 4.06/1.17 | ~ (aElementOf0 @ X0 @ xI))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.06/1.17 thf(zip_derived_cl3759, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 (~ (aElementOf0 @ X0 @ xI) | ((X0) = (sz00)) | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('clc', [status(thm)], [zip_derived_cl3755, zip_derived_cl170])).
% 4.06/1.17 thf(zip_derived_cl164, plain,
% 4.06/1.17 (![X0 : $i]: ( (aElementOf0 @ X0 @ xI) | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.06/1.17 thf(zip_derived_cl3760, plain,
% 4.06/1.17 (![X0 : $i]: (~ (zip_tseitin_12 @ X0) | ((X0) = (sz00)))),
% 4.06/1.17 inference('clc', [status(thm)], [zip_derived_cl3759, zip_derived_cl164])).
% 4.06/1.17 thf(zip_derived_cl163, plain,
% 4.06/1.17 (![X0 : $i]: (((X0) != (sz00)) | ~ (zip_tseitin_12 @ X0))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.06/1.17 thf(zip_derived_cl3761, plain, (![X0 : $i]: ~ (zip_tseitin_12 @ X0)),
% 4.06/1.17 inference('clc', [status(thm)], [zip_derived_cl3760, zip_derived_cl163])).
% 4.06/1.17 thf(zf_stmt_3, type, zip_tseitin_12 : $i > $o).
% 4.06/1.17 thf(zf_stmt_4, type, zip_tseitin_11 : $i > $i > $i > $o).
% 4.06/1.17 thf(zf_stmt_5, axiom,
% 4.06/1.17 (![W3:$i,W2:$i,W1:$i]:
% 4.06/1.17 ( ( zip_tseitin_11 @ W3 @ W2 @ W1 ) =>
% 4.06/1.17 ( ( ( sdtpldt0 @ W2 @ W3 ) = ( W1 ) ) &
% 4.06/1.17 ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) ) ))).
% 4.06/1.17 thf(zf_stmt_6, type, zip_tseitin_10 : $i > $o).
% 4.06/1.17 thf(zf_stmt_7, axiom,
% 4.06/1.17 (![W0:$i]:
% 4.06/1.17 ( ( ( zip_tseitin_10 @ W0 ) & ( ( W0 ) != ( sz00 ) ) ) =>
% 4.06/1.17 ( ?[W1:$i]: ( zip_tseitin_12 @ W1 ) ) ))).
% 4.06/1.17 thf(zip_derived_cl166, plain,
% 4.06/1.17 (![X0 : $i]:
% 4.06/1.17 ( (zip_tseitin_12 @ sk__38)
% 4.06/1.17 | ~ (zip_tseitin_10 @ X0)
% 4.06/1.17 | ((X0) = (sz00)))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.06/1.17 thf(zip_derived_cl182, plain,
% 4.06/1.17 (( (zip_tseitin_12 @ sk__38)) <= (( (zip_tseitin_12 @ sk__38)))),
% 4.06/1.17 inference('split', [status(esa)], [zip_derived_cl166])).
% 4.06/1.17 thf(m__2228, axiom,
% 4.06/1.17 (?[W0:$i]:
% 4.06/1.17 ( ( ( W0 ) != ( sz00 ) ) &
% 4.06/1.17 ( aElementOf0 @
% 4.06/1.17 W0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) &
% 4.06/1.17 ( ?[W1:$i,W2:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) &
% 4.06/1.17 ( ![W1:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) ) <=>
% 4.06/1.17 ( ?[W2:$i]:
% 4.06/1.17 ( ( ( sdtasdt0 @ xb @ W2 ) = ( W1 ) ) & ( aElement0 @ W2 ) ) ) ) ) &
% 4.06/1.17 ( ![W1:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) <=>
% 4.06/1.17 ( ?[W2:$i]:
% 4.06/1.17 ( ( ( sdtasdt0 @ xa @ W2 ) = ( W1 ) ) & ( aElement0 @ W2 ) ) ) ) ) ))).
% 4.06/1.17 thf(zip_derived_cl147, plain,
% 4.06/1.17 ( (aElementOf0 @ sk__33 @ (sdtpldt1 @ (slsdtgt0 @ xa) @ (slsdtgt0 @ xb)))),
% 4.06/1.17 inference('cnf', [status(esa)], [m__2228])).
% 4.06/1.17 thf(m__2174, axiom,
% 4.06/1.17 (( ( xI ) = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) &
% 4.06/1.17 ( ![W0:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W0 @ xI ) <=>
% 4.06/1.17 ( ?[W1:$i,W2:$i]:
% 4.06/1.17 ( ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) &
% 4.06/1.17 ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) ) &
% 4.06/1.17 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) ) ) &
% 4.06/1.17 ( ![W0:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xb ) ) <=>
% 4.06/1.17 ( ?[W1:$i]:
% 4.06/1.17 ( ( ( sdtasdt0 @ xb @ W1 ) = ( W0 ) ) & ( aElement0 @ W1 ) ) ) ) ) &
% 4.06/1.17 ( ![W0:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) <=>
% 4.06/1.17 ( ?[W1:$i]:
% 4.06/1.17 ( ( ( sdtasdt0 @ xa @ W1 ) = ( W0 ) ) & ( aElement0 @ W1 ) ) ) ) ) &
% 4.06/1.17 ( aIdeal0 @ xI ) &
% 4.06/1.17 ( ![W0:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W0 @ xI ) =>
% 4.06/1.17 ( ( ![W1:$i]:
% 4.06/1.17 ( ( aElementOf0 @ W1 @ xI ) =>
% 4.06/1.17 ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) ) ) &
% 4.06/1.17 ( ![W1:$i]:
% 4.06/1.17 ( ( aElement0 @ W1 ) =>
% 4.06/1.17 ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) ) ) ) &
% 4.06/1.17 ( aSet0 @ xI ))).
% 4.06/1.17 thf(zip_derived_cl133, plain,
% 4.06/1.17 (((xI) = (sdtpldt1 @ (slsdtgt0 @ xa) @ (slsdtgt0 @ xb)))),
% 4.06/1.17 inference('cnf', [status(esa)], [m__2174])).
% 4.06/1.17 thf(zip_derived_cl271, plain, ( (aElementOf0 @ sk__33 @ xI)),
% 4.06/1.17 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl133])).
% 4.06/1.17 thf(zip_derived_cl158, plain,
% 4.06/1.17 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | ~ (aElementOf0 @ X0 @ xI))),
% 4.06/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.06/1.17 thf(zip_derived_cl181, plain,
% 4.06/1.17 ((![X0 : $i]: (((X0) = (sz00)) | ~ (zip_tseitin_10 @ X0)))
% 4.06/1.17 <= ((![X0 : $i]: (((X0) = (sz00)) | ~ (zip_tseitin_10 @ X0))))),
% 4.06/1.17 inference('split', [status(esa)], [zip_derived_cl166])).
% 4.06/1.17 thf(zip_derived_cl194, plain,
% 4.06/1.17 ((![X0 : $i]: (~ (aElementOf0 @ X0 @ xI) | ((X0) = (sz00))))
% 4.06/1.17 <= ((![X0 : $i]: (((X0) = (sz00)) | ~ (zip_tseitin_10 @ X0))))),
% 4.06/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl181])).
% 4.06/1.17 thf(zip_derived_cl273, plain,
% 4.06/1.17 ((((sk__33) = (sz00)))
% 4.06/1.17 <= ((![X0 : $i]: (((X0) = (sz00)) | ~ (zip_tseitin_10 @ X0))))),
% 4.06/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl194])).
% 4.06/1.17 thf(zip_derived_cl146, plain, (((sk__33) != (sz00))),
% 4.06/1.17 inference('cnf', [status(esa)], [m__2228])).
% 4.06/1.17 thf('0', plain,
% 4.06/1.17 (~ (![X0 : $i]: (((X0) = (sz00)) | ~ (zip_tseitin_10 @ X0)))),
% 4.06/1.17 inference('simplify_reflect-', [status(thm)],
% 4.06/1.17 [zip_derived_cl273, zip_derived_cl146])).
% 4.06/1.17 thf('1', plain,
% 4.06/1.17 (( (zip_tseitin_12 @ sk__38)) |
% 4.06/1.17 (![X0 : $i]: (((X0) = (sz00)) | ~ (zip_tseitin_10 @ X0)))),
% 4.06/1.17 inference('split', [status(esa)], [zip_derived_cl166])).
% 4.06/1.17 thf('2', plain, (( (zip_tseitin_12 @ sk__38))),
% 4.06/1.17 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 4.06/1.17 thf(zip_derived_cl284, plain, ( (zip_tseitin_12 @ sk__38)),
% 4.06/1.17 inference('simpl_trail', [status(thm)], [zip_derived_cl182, '2'])).
% 4.06/1.17 thf(zip_derived_cl3762, plain, ($false),
% 4.06/1.17 inference('s_sup+', [status(thm)],
% 4.06/1.17 [zip_derived_cl3761, zip_derived_cl284])).
% 4.06/1.17
% 4.06/1.17 % SZS output end Refutation
% 4.06/1.17
% 4.06/1.17
% 4.06/1.17 % Terminating...
% 4.58/1.25 % Runner terminated.
% 4.58/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------