%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM020+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oN6hxZvCcx true
% Computer : n003.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 04:30:36 PM UTC 2025
% Result : Theorem 26.75s 4.40s
% Output : Refutation 26.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : COM020+4 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oN6hxZvCcx true
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 13:47:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.49/0.57 % Total configuration time : 435
% 0.49/0.57 % Estimated wc time : 1092
% 0.49/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.63 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.63 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 26.75/4.40 % Solved by fo/fo5.sh.
% 26.75/4.40 % done 3404 iterations in 3.699s
% 26.75/4.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.75/4.40 % SZS output start Refutation
% 26.75/4.40 thf(aElement0_type, type, aElement0: $i > $o).
% 26.75/4.40 thf(sk__18_type, type, sk__18: $i > $i > $i).
% 26.75/4.40 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $o).
% 26.75/4.40 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 26.75/4.40 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 26.75/4.40 thf(xw_type, type, xw: $i).
% 26.75/4.40 thf(aNormalFormOfIn0_type, type, aNormalFormOfIn0: $i > $i > $i > $o).
% 26.75/4.40 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 26.75/4.40 thf(isTerminating0_type, type, isTerminating0: $i > $o).
% 26.75/4.40 thf(aRewritingSystem0_type, type, aRewritingSystem0: $i > $o).
% 26.75/4.40 thf(xv_type, type, xv: $i).
% 26.75/4.40 thf(sdtmndtasgtdt0_type, type, sdtmndtasgtdt0: $i > $i > $i > $o).
% 26.75/4.40 thf(xa_type, type, xa: $i).
% 26.75/4.40 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 26.75/4.40 thf(iLess0_type, type, iLess0: $i > $i > $o).
% 26.75/4.40 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 26.75/4.40 thf(isLocallyConfluent0_type, type, isLocallyConfluent0: $i > $o).
% 26.75/4.40 thf(xb_type, type, xb: $i).
% 26.75/4.40 thf(aReductOfIn0_type, type, aReductOfIn0: $i > $i > $i > $o).
% 26.75/4.40 thf(xd_type, type, xd: $i).
% 26.75/4.40 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 26.75/4.40 thf(xR_type, type, xR: $i).
% 26.75/4.40 thf(xc_type, type, xc: $i).
% 26.75/4.40 thf(sdtmndtplgtdt0_type, type, sdtmndtplgtdt0: $i > $i > $i > $o).
% 26.75/4.40 thf(xu_type, type, xu: $i).
% 26.75/4.40 thf(m__818, axiom,
% 26.75/4.40 (( aNormalFormOfIn0 @ xd @ xw @ xR ) &
% 26.75/4.40 ( ~( ?[W0:$i]: ( aReductOfIn0 @ W0 @ xd @ xR ) ) ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ xw @ xR @ xd ) &
% 26.75/4.40 ( ( ( sdtmndtplgtdt0 @ xw @ xR @ xd ) &
% 26.75/4.40 ( ( ?[W0:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xd ) &
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xw @ xR ) & ( aElement0 @ W0 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ xd @ xw @ xR ) ) ) |
% 26.75/4.40 ( ( xw ) = ( xd ) ) ) &
% 26.75/4.40 ( aElement0 @ xd ))).
% 26.75/4.40 thf(zip_derived_cl127, plain, ( (sdtmndtasgtdt0 @ xw @ xR @ xd)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__818])).
% 26.75/4.40 thf(m__799, axiom,
% 26.75/4.40 (( sdtmndtasgtdt0 @ xv @ xR @ xw ) &
% 26.75/4.40 ( ( ( sdtmndtplgtdt0 @ xv @ xR @ xw ) &
% 26.75/4.40 ( ( ?[W0:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw ) &
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xv @ xR ) & ( aElement0 @ W0 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ xw @ xv @ xR ) ) ) |
% 26.75/4.40 ( ( xv ) = ( xw ) ) ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ xu @ xR @ xw ) &
% 26.75/4.40 ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xw ) &
% 26.75/4.40 ( ( ?[W0:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw ) &
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xu @ xR ) & ( aElement0 @ W0 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ xw @ xu @ xR ) ) ) |
% 26.75/4.40 ( ( xu ) = ( xw ) ) ) &
% 26.75/4.40 ( aElement0 @ xw ))).
% 26.75/4.40 thf(zip_derived_cl116, plain, ( (sdtmndtasgtdt0 @ xu @ xR @ xw)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__799])).
% 26.75/4.40 thf(mTCRTrans, axiom,
% 26.75/4.40 (![W0:$i,W1:$i,W2:$i,W3:$i]:
% 26.75/4.40 ( ( ( aElement0 @ W0 ) & ( aRewritingSystem0 @ W1 ) &
% 26.75/4.40 ( aElement0 @ W2 ) & ( aElement0 @ W3 ) ) =>
% 26.75/4.40 ( ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 ) ) =>
% 26.75/4.40 ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) ))).
% 26.75/4.40 thf(zip_derived_cl14, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.75/4.40 (~ (sdtmndtasgtdt0 @ X0 @ X1 @ X2)
% 26.75/4.40 | ~ (aElement0 @ X2)
% 26.75/4.40 | ~ (aRewritingSystem0 @ X1)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | ~ (aElement0 @ X3)
% 26.75/4.40 | (sdtmndtasgtdt0 @ X0 @ X1 @ X3)
% 26.75/4.40 | ~ (sdtmndtasgtdt0 @ X2 @ X1 @ X3))),
% 26.75/4.40 inference('cnf', [status(esa)], [mTCRTrans])).
% 26.75/4.40 thf(zip_derived_cl521, plain,
% 26.75/4.40 (![X0 : $i]:
% 26.75/4.40 (~ (sdtmndtasgtdt0 @ xw @ xR @ X0)
% 26.75/4.40 | (sdtmndtasgtdt0 @ xu @ xR @ X0)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | ~ (aElement0 @ xu)
% 26.75/4.40 | ~ (aRewritingSystem0 @ xR)
% 26.75/4.40 | ~ (aElement0 @ xw))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl14])).
% 26.75/4.40 thf(m__755, axiom,
% 26.75/4.40 (( sdtmndtasgtdt0 @ xu @ xR @ xb ) &
% 26.75/4.40 ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xb ) &
% 26.75/4.40 ( ( ?[W0:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) &
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xu @ xR ) & ( aElement0 @ W0 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ xb @ xu @ xR ) ) ) |
% 26.75/4.40 ( ( xu ) = ( xb ) ) ) &
% 26.75/4.40 ( aReductOfIn0 @ xu @ xa @ xR ) & ( aElement0 @ xu ))).
% 26.75/4.40 thf(zip_derived_cl97, plain, ( (aElement0 @ xu)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__755])).
% 26.75/4.40 thf(m__656, axiom, (aRewritingSystem0 @ xR)).
% 26.75/4.40 thf(zip_derived_cl43, plain, ( (aRewritingSystem0 @ xR)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__656])).
% 26.75/4.40 thf(zip_derived_cl111, plain, ( (aElement0 @ xw)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__799])).
% 26.75/4.40 thf(zip_derived_cl536, plain,
% 26.75/4.40 (![X0 : $i]:
% 26.75/4.40 (~ (sdtmndtasgtdt0 @ xw @ xR @ X0)
% 26.75/4.40 | (sdtmndtasgtdt0 @ xu @ xR @ X0)
% 26.75/4.40 | ~ (aElement0 @ X0))),
% 26.75/4.40 inference('demod', [status(thm)],
% 26.75/4.40 [zip_derived_cl521, zip_derived_cl97, zip_derived_cl43,
% 26.75/4.40 zip_derived_cl111])).
% 26.75/4.40 thf(zip_derived_cl707, plain,
% 26.75/4.40 ((~ (aElement0 @ xd) | (sdtmndtasgtdt0 @ xu @ xR @ xd))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl536])).
% 26.75/4.40 thf(zip_derived_cl122, plain, ( (aElement0 @ xd)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__818])).
% 26.75/4.40 thf(zip_derived_cl709, plain, ( (sdtmndtasgtdt0 @ xu @ xR @ xd)),
% 26.75/4.40 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl122])).
% 26.75/4.40 thf(m__715, axiom,
% 26.75/4.40 (![W0:$i,W1:$i,W2:$i]:
% 26.75/4.40 ( ( ( ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) |
% 26.75/4.40 ( ?[W3:$i]:
% 26.75/4.40 ( ( aElement0 @ W3 ) & ( aReductOfIn0 @ W3 @ W0 @ xR ) &
% 26.75/4.40 ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W2 @ W0 @ xR ) | ( ( W0 ) = ( W2 ) ) ) &
% 26.75/4.40 ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) |
% 26.75/4.40 ( ?[W3:$i]:
% 26.75/4.40 ( ( aElement0 @ W3 ) & ( aReductOfIn0 @ W3 @ W0 @ xR ) &
% 26.75/4.40 ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W1 @ W0 @ xR ) | ( ( W0 ) = ( W1 ) ) ) &
% 26.75/4.40 ( aElement0 @ W2 ) & ( aElement0 @ W1 ) & ( aElement0 @ W0 ) ) =>
% 26.75/4.40 ( ( iLess0 @ W0 @ xa ) =>
% 26.75/4.40 ( ?[W3:$i]:
% 26.75/4.40 ( ( aElement0 @ W3 ) &
% 26.75/4.40 ( ( ( W1 ) = ( W3 ) ) |
% 26.75/4.40 ( ( ( aReductOfIn0 @ W3 @ W1 @ xR ) |
% 26.75/4.40 ( ?[W4:$i]:
% 26.75/4.40 ( ( aElement0 @ W4 ) & ( aReductOfIn0 @ W4 @ W1 @ xR ) &
% 26.75/4.40 ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) ) ) &
% 26.75/4.40 ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ W1 @ xR @ W3 ) &
% 26.75/4.40 ( ( ( W2 ) = ( W3 ) ) |
% 26.75/4.40 ( ( ( aReductOfIn0 @ W3 @ W2 @ xR ) |
% 26.75/4.40 ( ?[W4:$i]:
% 26.75/4.40 ( ( aElement0 @ W4 ) & ( aReductOfIn0 @ W4 @ W2 @ xR ) &
% 26.75/4.40 ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) ) ) &
% 26.75/4.40 ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ) ))).
% 26.75/4.40 thf(zf_stmt_0, axiom,
% 26.75/4.40 (![W1:$i,W0:$i]:
% 26.75/4.40 ( ( ( ( W0 ) = ( W1 ) ) | ( aReductOfIn0 @ W1 @ W0 @ xR ) |
% 26.75/4.40 ( ?[W3:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) &
% 26.75/4.40 ( aReductOfIn0 @ W3 @ W0 @ xR ) & ( aElement0 @ W3 ) ) ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) | ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) ) =>
% 26.75/4.40 ( zip_tseitin_1 @ W1 @ W0 ) ))).
% 26.75/4.40 thf(zip_derived_cl72, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i]:
% 26.75/4.40 ( (zip_tseitin_1 @ X0 @ X1) | ~ (sdtmndtasgtdt0 @ X1 @ xR @ X0))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.75/4.40 thf(zip_derived_cl713, plain, ( (zip_tseitin_1 @ xd @ xu)),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl709, zip_derived_cl72])).
% 26.75/4.40 thf(zip_derived_cl99, plain,
% 26.75/4.40 (( (sdtmndtplgtdt0 @ xu @ xR @ xb) | ((xu) = (xb)))),
% 26.75/4.40 inference('cnf', [status(esa)], [m__755])).
% 26.75/4.40 thf(zf_stmt_1, axiom,
% 26.75/4.40 (![W2:$i,W0:$i]:
% 26.75/4.40 ( ( ( ( W0 ) = ( W2 ) ) | ( aReductOfIn0 @ W2 @ W0 @ xR ) |
% 26.75/4.40 ( ?[W3:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) &
% 26.75/4.40 ( aReductOfIn0 @ W3 @ W0 @ xR ) & ( aElement0 @ W3 ) ) ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) | ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) ) =>
% 26.75/4.40 ( zip_tseitin_0 @ W2 @ W0 ) ))).
% 26.75/4.40 thf(zip_derived_cl66, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i]:
% 26.75/4.40 ( (zip_tseitin_0 @ X0 @ X1) | ~ (sdtmndtplgtdt0 @ X1 @ xR @ X0))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.75/4.40 thf(zip_derived_cl255, plain, ((((xu) = (xb)) | (zip_tseitin_0 @ xb @ xu))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl66])).
% 26.75/4.40 thf(zip_derived_cl63, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ((X1) != (X0)))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.75/4.40 thf(zip_derived_cl260, plain, ( (zip_tseitin_0 @ xb @ xu)),
% 26.75/4.40 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl63])).
% 26.75/4.40 thf(zip_derived_cl98, plain, ( (aReductOfIn0 @ xu @ xa @ xR)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__755])).
% 26.75/4.40 thf(m__656_01, axiom,
% 26.75/4.40 (( isTerminating0 @ xR ) &
% 26.75/4.40 ( ![W0:$i,W1:$i]:
% 26.75/4.40 ( ( ( aElement0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 26.75/4.40 ( ( ( aReductOfIn0 @ W1 @ W0 @ xR ) |
% 26.75/4.40 ( ?[W2:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 ) &
% 26.75/4.40 ( aReductOfIn0 @ W2 @ W0 @ xR ) & ( aElement0 @ W2 ) ) ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) ) =>
% 26.75/4.40 ( iLess0 @ W1 @ W0 ) ) ) ) &
% 26.75/4.40 ( isLocallyConfluent0 @ xR ) &
% 26.75/4.40 ( ![W0:$i,W1:$i,W2:$i]:
% 26.75/4.40 ( ( ( aElement0 @ W0 ) & ( aElement0 @ W1 ) & ( aElement0 @ W2 ) &
% 26.75/4.40 ( aReductOfIn0 @ W1 @ W0 @ xR ) & ( aReductOfIn0 @ W2 @ W0 @ xR ) ) =>
% 26.75/4.40 ( ?[W3:$i]:
% 26.75/4.40 ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) &
% 26.75/4.40 ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) &
% 26.75/4.40 ( ( ?[W4:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) &
% 26.75/4.40 ( aReductOfIn0 @ W4 @ W2 @ xR ) & ( aElement0 @ W4 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) |
% 26.75/4.40 ( ( W2 ) = ( W3 ) ) ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ W1 @ xR @ W3 ) &
% 26.75/4.40 ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) &
% 26.75/4.40 ( ( ?[W4:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) &
% 26.75/4.40 ( aReductOfIn0 @ W4 @ W1 @ xR ) & ( aElement0 @ W4 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) |
% 26.75/4.40 ( ( W1 ) = ( W3 ) ) ) &
% 26.75/4.40 ( aElement0 @ W3 ) ) ) ) ))).
% 26.75/4.40 thf(zip_derived_cl56, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i]:
% 26.75/4.40 (~ (aElement0 @ X0)
% 26.75/4.40 | ~ (aElement0 @ X1)
% 26.75/4.40 | (iLess0 @ X1 @ X0)
% 26.75/4.40 | ~ (aReductOfIn0 @ X1 @ X0 @ xR))),
% 26.75/4.40 inference('cnf', [status(esa)], [m__656_01])).
% 26.75/4.40 thf(zip_derived_cl574, plain,
% 26.75/4.40 (( (iLess0 @ xu @ xa) | ~ (aElement0 @ xu) | ~ (aElement0 @ xa))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl56])).
% 26.75/4.40 thf(zip_derived_cl97, plain, ( (aElement0 @ xu)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__755])).
% 26.75/4.40 thf(m__731, axiom,
% 26.75/4.40 (( aElement0 @ xc ) & ( aElement0 @ xb ) & ( aElement0 @ xa ))).
% 26.75/4.40 thf(zip_derived_cl62, plain, ( (aElement0 @ xa)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__731])).
% 26.75/4.40 thf(zip_derived_cl587, plain, ( (iLess0 @ xu @ xa)),
% 26.75/4.40 inference('demod', [status(thm)],
% 26.75/4.40 [zip_derived_cl574, zip_derived_cl97, zip_derived_cl62])).
% 26.75/4.40 thf(zf_stmt_2, type, zip_tseitin_6 : $i > $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_3, axiom,
% 26.75/4.40 (![W3:$i,W2:$i,W1:$i]:
% 26.75/4.40 ( ( zip_tseitin_6 @ W3 @ W2 @ W1 ) =>
% 26.75/4.40 ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) &
% 26.75/4.40 ( ( zip_tseitin_5 @ W3 @ W2 ) | ( ( W2 ) = ( W3 ) ) ) &
% 26.75/4.40 ( sdtmndtasgtdt0 @ W1 @ xR @ W3 ) &
% 26.75/4.40 ( ( zip_tseitin_3 @ W3 @ W1 ) | ( ( W1 ) = ( W3 ) ) ) &
% 26.75/4.40 ( aElement0 @ W3 ) ) ))).
% 26.75/4.40 thf(zf_stmt_4, type, zip_tseitin_5 : $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_5, axiom,
% 26.75/4.40 (![W3:$i,W2:$i]:
% 26.75/4.40 ( ( zip_tseitin_5 @ W3 @ W2 ) =>
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) &
% 26.75/4.40 ( ( ?[W4:$i]: ( zip_tseitin_4 @ W4 @ W3 @ W2 ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) ))).
% 26.75/4.40 thf(zf_stmt_6, type, zip_tseitin_4 : $i > $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_7, axiom,
% 26.75/4.40 (![W4:$i,W3:$i,W2:$i]:
% 26.75/4.40 ( ( zip_tseitin_4 @ W4 @ W3 @ W2 ) =>
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) & ( aReductOfIn0 @ W4 @ W2 @ xR ) &
% 26.75/4.40 ( aElement0 @ W4 ) ) ))).
% 26.75/4.40 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_9, axiom,
% 26.75/4.40 (![W3:$i,W1:$i]:
% 26.75/4.40 ( ( zip_tseitin_3 @ W3 @ W1 ) =>
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) &
% 26.75/4.40 ( ( ?[W4:$i]: ( zip_tseitin_2 @ W4 @ W3 @ W1 ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) ))).
% 26.75/4.40 thf(zf_stmt_10, type, zip_tseitin_2 : $i > $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_11, axiom,
% 26.75/4.40 (![W4:$i,W3:$i,W1:$i]:
% 26.75/4.40 ( ( zip_tseitin_2 @ W4 @ W3 @ W1 ) =>
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) & ( aReductOfIn0 @ W4 @ W1 @ xR ) &
% 26.75/4.40 ( aElement0 @ W4 ) ) ))).
% 26.75/4.40 thf(zf_stmt_12, type, zip_tseitin_1 : $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $o).
% 26.75/4.40 thf(zf_stmt_14, axiom,
% 26.75/4.40 (![W0:$i,W1:$i,W2:$i]:
% 26.75/4.40 ( ( ( aElement0 @ W0 ) & ( aElement0 @ W1 ) & ( aElement0 @ W2 ) &
% 26.75/4.40 ( zip_tseitin_1 @ W1 @ W0 ) & ( zip_tseitin_0 @ W2 @ W0 ) ) =>
% 26.75/4.40 ( ( iLess0 @ W0 @ xa ) => ( ?[W3:$i]: ( zip_tseitin_6 @ W3 @ W2 @ W1 ) ) ) ))).
% 26.75/4.40 thf(zip_derived_cl88, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.75/4.40 (~ (iLess0 @ X0 @ xa)
% 26.75/4.40 | ~ (zip_tseitin_1 @ X1 @ X0)
% 26.75/4.40 | ~ (aElement0 @ X1)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | ~ (aElement0 @ X2)
% 26.75/4.40 | ~ (zip_tseitin_0 @ X2 @ X0)
% 26.75/4.40 | (zip_tseitin_6 @ (sk__18 @ X2 @ X1) @ X2 @ X1))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_14])).
% 26.75/4.40 thf(zip_derived_cl1380, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i]:
% 26.75/4.40 ( (zip_tseitin_6 @ (sk__18 @ X1 @ X0) @ X1 @ X0)
% 26.75/4.40 | ~ (zip_tseitin_0 @ X1 @ xu)
% 26.75/4.40 | ~ (aElement0 @ X1)
% 26.75/4.40 | ~ (aElement0 @ xu)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | ~ (zip_tseitin_1 @ X0 @ xu))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl587, zip_derived_cl88])).
% 26.75/4.40 thf(zip_derived_cl97, plain, ( (aElement0 @ xu)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__755])).
% 26.75/4.40 thf(zip_derived_cl1387, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i]:
% 26.75/4.40 ( (zip_tseitin_6 @ (sk__18 @ X1 @ X0) @ X1 @ X0)
% 26.75/4.40 | ~ (zip_tseitin_0 @ X1 @ xu)
% 26.75/4.40 | ~ (aElement0 @ X1)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | ~ (zip_tseitin_1 @ X0 @ xu))),
% 26.75/4.40 inference('demod', [status(thm)], [zip_derived_cl1380, zip_derived_cl97])).
% 26.75/4.40 thf(zip_derived_cl24105, plain,
% 26.75/4.40 (![X0 : $i]:
% 26.75/4.40 (~ (zip_tseitin_1 @ X0 @ xu)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | ~ (aElement0 @ xb)
% 26.75/4.40 | (zip_tseitin_6 @ (sk__18 @ xb @ X0) @ xb @ X0))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl1387])).
% 26.75/4.40 thf(zip_derived_cl61, plain, ( (aElement0 @ xb)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__731])).
% 26.75/4.40 thf(zip_derived_cl24157, plain,
% 26.75/4.40 (![X0 : $i]:
% 26.75/4.40 (~ (zip_tseitin_1 @ X0 @ xu)
% 26.75/4.40 | ~ (aElement0 @ X0)
% 26.75/4.40 | (zip_tseitin_6 @ (sk__18 @ xb @ X0) @ xb @ X0))),
% 26.75/4.40 inference('demod', [status(thm)], [zip_derived_cl24105, zip_derived_cl61])).
% 26.75/4.40 thf(zip_derived_cl24325, plain,
% 26.75/4.40 (( (zip_tseitin_6 @ (sk__18 @ xb @ xd) @ xb @ xd) | ~ (aElement0 @ xd))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl713, zip_derived_cl24157])).
% 26.75/4.40 thf(zip_derived_cl122, plain, ( (aElement0 @ xd)),
% 26.75/4.40 inference('cnf', [status(esa)], [m__818])).
% 26.75/4.40 thf(zip_derived_cl24377, plain,
% 26.75/4.40 ( (zip_tseitin_6 @ (sk__18 @ xb @ xd) @ xb @ xd)),
% 26.75/4.40 inference('demod', [status(thm)],
% 26.75/4.40 [zip_derived_cl24325, zip_derived_cl122])).
% 26.75/4.40 thf(zip_derived_cl85, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.75/4.40 ( (sdtmndtasgtdt0 @ X0 @ xR @ X1) | ~ (zip_tseitin_6 @ X1 @ X2 @ X0))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 26.75/4.40 thf(zip_derived_cl24389, plain,
% 26.75/4.40 ( (sdtmndtasgtdt0 @ xd @ xR @ (sk__18 @ xb @ xd))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl24377, zip_derived_cl85])).
% 26.75/4.40 thf(m__, conjecture,
% 26.75/4.40 (?[W0:$i]:
% 26.75/4.40 ( ( ( sdtmndtasgtdt0 @ xd @ xR @ W0 ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ xd @ xR @ W0 ) |
% 26.75/4.40 ( ?[W1:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) &
% 26.75/4.40 ( aReductOfIn0 @ W1 @ xd @ xR ) & ( aElement0 @ W1 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xd @ xR ) | ( ( xd ) = ( W0 ) ) ) &
% 26.75/4.40 ( ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ xb @ xR @ W0 ) |
% 26.75/4.40 ( ?[W1:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) &
% 26.75/4.40 ( aReductOfIn0 @ W1 @ xb @ xR ) & ( aElement0 @ W1 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xb @ xR ) | ( ( xb ) = ( W0 ) ) ) &
% 26.75/4.40 ( aElement0 @ W0 ) ))).
% 26.75/4.40 thf(zf_stmt_15, negated_conjecture,
% 26.75/4.40 (~( ?[W0:$i]:
% 26.75/4.40 ( ( ( sdtmndtasgtdt0 @ xd @ xR @ W0 ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ xd @ xR @ W0 ) |
% 26.75/4.40 ( ?[W1:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) &
% 26.75/4.40 ( aReductOfIn0 @ W1 @ xd @ xR ) & ( aElement0 @ W1 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xd @ xR ) | ( ( xd ) = ( W0 ) ) ) &
% 26.75/4.40 ( ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) |
% 26.75/4.40 ( sdtmndtplgtdt0 @ xb @ xR @ W0 ) |
% 26.75/4.40 ( ?[W1:$i]:
% 26.75/4.40 ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) &
% 26.75/4.40 ( aReductOfIn0 @ W1 @ xb @ xR ) & ( aElement0 @ W1 ) ) ) |
% 26.75/4.40 ( aReductOfIn0 @ W0 @ xb @ xR ) | ( ( xb ) = ( W0 ) ) ) &
% 26.75/4.40 ( aElement0 @ W0 ) ) )),
% 26.75/4.40 inference('cnf.neg', [status(esa)], [m__])).
% 26.75/4.40 thf(zip_derived_cl134, plain,
% 26.75/4.40 (![X0 : $i]:
% 26.75/4.40 (~ (sdtmndtasgtdt0 @ xd @ xR @ X0)
% 26.75/4.40 | ~ (sdtmndtasgtdt0 @ xb @ xR @ X0)
% 26.75/4.40 | ~ (aElement0 @ X0))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_15])).
% 26.75/4.40 thf(zip_derived_cl24449, plain,
% 26.75/4.40 ((~ (aElement0 @ (sk__18 @ xb @ xd))
% 26.75/4.40 | ~ (sdtmndtasgtdt0 @ xb @ xR @ (sk__18 @ xb @ xd)))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl24389, zip_derived_cl134])).
% 26.75/4.40 thf(zip_derived_cl24377, plain,
% 26.75/4.40 ( (zip_tseitin_6 @ (sk__18 @ xb @ xd) @ xb @ xd)),
% 26.75/4.40 inference('demod', [status(thm)],
% 26.75/4.40 [zip_derived_cl24325, zip_derived_cl122])).
% 26.75/4.40 thf(zip_derived_cl87, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.75/4.40 ( (aElement0 @ X0) | ~ (zip_tseitin_6 @ X0 @ X1 @ X2))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 26.75/4.40 thf(zip_derived_cl24388, plain, ( (aElement0 @ (sk__18 @ xb @ xd))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl24377, zip_derived_cl87])).
% 26.75/4.40 thf(zip_derived_cl24377, plain,
% 26.75/4.40 ( (zip_tseitin_6 @ (sk__18 @ xb @ xd) @ xb @ xd)),
% 26.75/4.40 inference('demod', [status(thm)],
% 26.75/4.40 [zip_derived_cl24325, zip_derived_cl122])).
% 26.75/4.40 thf(zip_derived_cl83, plain,
% 26.75/4.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.75/4.40 ( (sdtmndtasgtdt0 @ X0 @ xR @ X1) | ~ (zip_tseitin_6 @ X1 @ X0 @ X2))),
% 26.75/4.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 26.75/4.40 thf(zip_derived_cl24386, plain,
% 26.75/4.40 ( (sdtmndtasgtdt0 @ xb @ xR @ (sk__18 @ xb @ xd))),
% 26.75/4.40 inference('sup-', [status(thm)], [zip_derived_cl24377, zip_derived_cl83])).
% 26.75/4.40 thf(zip_derived_cl24469, plain, ($false),
% 26.75/4.40 inference('demod', [status(thm)],
% 26.75/4.40 [zip_derived_cl24449, zip_derived_cl24388, zip_derived_cl24386])).
% 26.75/4.40
% 26.75/4.40 % SZS output end Refutation
% 26.75/4.40
% 26.75/4.40
% 26.75/4.40 % Terminating...
% 27.63/4.55 % Runner terminated.
% 27.63/4.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------