%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV606+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lOLYb2Ofw1 true
% Computer : n008.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 : Tue May 5 06:56:14 PM UTC 2026
% Result : Theorem 5.33s 1.35s
% Output : Refutation 5.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV606+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lOLYb2Ofw1 true
% 0.18/0.34 % Computer : n008.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 05:21:58 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Running portfolio for 300 s
% 0.18/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.48/0.61 % Total configuration time : 435
% 0.48/0.61 % Estimated wc time : 1092
% 0.48/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.33/1.35 % Solved by fo/fo7.sh.
% 5.33/1.35 % done 1167 iterations in 0.645s
% 5.33/1.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.33/1.35 % SZS output start Refutation
% 5.33/1.35 thf(cCoq_2eNumbers_2eBinNums_2eZ0_type, type, cCoq_2eNumbers_2eBinNums_2eZ0:
% 5.33/1.35 $i).
% 5.33/1.35 thf(cCoq_2eNumbers_2eBinNums_2eZ___24t_type, type, cCoq_2eNumbers_2eBinNums_2eZ___24t:
% 5.33/1.35 $i > $o).
% 5.33/1.35 thf(cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2_type, type, cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2:
% 5.33/1.35 $i > $i > $i).
% 5.33/1.35 thf(cCoq_2eNumbers_2eBinNums_2exH_type, type, cCoq_2eNumbers_2eBinNums_2exH:
% 5.33/1.35 $i).
% 5.33/1.35 thf(sk__2_type, type, sk__2: $i).
% 5.33/1.35 thf(p_type, type, p: $i > $o).
% 5.33/1.35 thf(cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2_type, type, cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2:
% 5.33/1.35 $i > $i > $i).
% 5.33/1.35 thf(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2_type, type, cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2:
% 5.33/1.35 $i > $i > $i).
% 5.33/1.35 thf(sk__3_type, type, sk__3: $i).
% 5.33/1.35 thf(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2_type, type, cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2:
% 5.33/1.35 $i > $i > $i).
% 5.33/1.35 thf(cCoq_2eNumbers_2eBinNums_2eZpos___24a1_type, type, cCoq_2eNumbers_2eBinNums_2eZpos___24a1:
% 5.33/1.35 $i > $i).
% 5.33/1.35 thf('_HAMMER_GOAL', conjecture,
% 5.33/1.35 (![V0__n:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n ) =>
% 5.33/1.35 ( ![V1__m:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @
% 5.33/1.35 V1__m @ V1__m ) @
% 5.33/1.35 ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @
% 5.33/1.35 V0__n @ V0__n ) ) ) =>
% 5.33/1.35 ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ) ))).
% 5.33/1.35 thf(zf_stmt_0, negated_conjecture,
% 5.33/1.35 (~( ![V0__n:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n ) =>
% 5.33/1.35 ( ![V1__m:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @
% 5.33/1.35 V1__m @ V1__m ) @
% 5.33/1.35 ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @
% 5.33/1.35 V0__n @ V0__n ) ) ) =>
% 5.33/1.35 ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ) ) )),
% 5.33/1.35 inference('cnf.neg', [status(esa)], [_HAMMER_GOAL])).
% 5.33/1.35 thf(zip_derived_cl297, plain,
% 5.33/1.35 (~ (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sk__3 @ sk__2))),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl296, plain,
% 5.33/1.35 ( (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sk__3 @ sk__3) @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sk__2 @ sk__2)))),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl295, plain,
% 5.33/1.35 ( (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ sk__2))),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl295, plain,
% 5.33/1.35 ( (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ sk__2))),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(Coq.ZArith.BinInt.Z.Private_Div.NZQuot.mod_1_r, axiom,
% 5.33/1.35 (![V0__a:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) ) =>
% 5.33/1.35 ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @
% 5.33/1.35 V0__a @
% 5.33/1.35 ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH ) ) =
% 5.33/1.35 ( cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ))).
% 5.33/1.35 thf(zip_derived_cl16, plain,
% 5.33/1.35 (![X0 : $i]:
% 5.33/1.35 (~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ X0))
% 5.33/1.35 | ((cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ X0 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0))),
% 5.33/1.35 inference('cnf', [status(esa)],
% 5.33/1.35 [Coq.ZArith.BinInt.Z.Private_Div.NZQuot.mod_1_r])).
% 5.33/1.35 thf(zip_derived_cl2030, plain,
% 5.33/1.35 ((~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__2)
% 5.33/1.35 | ((cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0)))),
% 5.33/1.35 inference('sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl16])).
% 5.33/1.35 thf(zip_derived_cl294, plain,
% 5.33/1.35 ( (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__2)),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl2037, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl2030, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl2080, plain,
% 5.33/1.35 ( (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)) @
% 5.33/1.35 sk__2))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl2037])).
% 5.33/1.35 thf(zip_derived_cl2080, plain,
% 5.33/1.35 ( (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)) @
% 5.33/1.35 sk__2))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl2037])).
% 5.33/1.35 thf(Coq.ZArith.BinInt.Z.Private_NZDiv.mod_1_r, axiom,
% 5.33/1.35 (![V0__a:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) ) =>
% 5.33/1.35 ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @
% 5.33/1.35 V0__a @
% 5.33/1.35 ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH ) ) =
% 5.33/1.35 ( cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ))).
% 5.33/1.35 thf(zip_derived_cl23, plain,
% 5.33/1.35 (![X0 : $i]:
% 5.33/1.35 (~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ X0))
% 5.33/1.35 | ((cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ X0 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0))),
% 5.33/1.35 inference('cnf', [status(esa)],
% 5.33/1.35 [Coq.ZArith.BinInt.Z.Private_NZDiv.mod_1_r])).
% 5.33/1.35 thf(zip_derived_cl2037, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl2030, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl2037, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl2030, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl2441, plain,
% 5.33/1.35 (![X0 : $i]:
% 5.33/1.35 (~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)) @
% 5.33/1.35 X0))
% 5.33/1.35 | ((cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ X0 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0))),
% 5.33/1.35 inference('demod', [status(thm)],
% 5.33/1.35 [zip_derived_cl23, zip_derived_cl2037, zip_derived_cl2037])).
% 5.33/1.35 thf(zip_derived_cl2444, plain,
% 5.33/1.35 ((~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__2)
% 5.33/1.35 | ((cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))))),
% 5.33/1.35 inference('sup-', [status(thm)], [zip_derived_cl2080, zip_derived_cl2441])).
% 5.33/1.35 thf(zip_derived_cl294, plain,
% 5.33/1.35 ( (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__2)),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl2448, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl2444, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl2511, plain,
% 5.33/1.35 ( (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)) @
% 5.33/1.35 sk__2))),
% 5.33/1.35 inference('demod', [status(thm)],
% 5.33/1.35 [zip_derived_cl2080, zip_derived_cl2448])).
% 5.33/1.35 thf(Coq.ZArith.BinInt.Z.square_le_simpl_nonneg, axiom,
% 5.33/1.35 (![V0__n:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n ) =>
% 5.33/1.35 ( ![V1__m:$i]:
% 5.33/1.35 ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) =>
% 5.33/1.35 ( ( p @
% 5.33/1.35 ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @
% 5.33/1.35 ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) =>
% 5.33/1.35 ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ))).
% 5.33/1.35 thf(zip_derived_cl260, plain,
% 5.33/1.35 (![X0 : $i, X1 : $i]:
% 5.33/1.35 (~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0)
% 5.33/1.35 | ~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ X1 @ X1) @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ X0 @ X0)))
% 5.33/1.35 | (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ X1 @ X0))
% 5.33/1.35 | ~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2eZ0 @ X0))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X1))),
% 5.33/1.35 inference('cnf', [status(esa)],
% 5.33/1.35 [Coq.ZArith.BinInt.Z.square_le_simpl_nonneg])).
% 5.33/1.35 thf(zip_derived_cl2037, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl2030, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl2448, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl2444, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl2497, plain,
% 5.33/1.35 (((cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH))
% 5.33/1.35 = (cCoq_2eNumbers_2eBinNums_2eZ0))),
% 5.33/1.35 inference('demod', [status(thm)],
% 5.33/1.35 [zip_derived_cl2037, zip_derived_cl2448])).
% 5.33/1.35 thf(zip_derived_cl4368, plain,
% 5.33/1.35 (![X0 : $i, X1 : $i]:
% 5.33/1.35 (~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0)
% 5.33/1.35 | ~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ X1 @ X1) @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ X0 @ X0)))
% 5.33/1.35 | (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ X1 @ X0))
% 5.33/1.35 | ~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ sk__2 @
% 5.33/1.35 (cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @
% 5.33/1.35 cCoq_2eNumbers_2eBinNums_2exH)) @
% 5.33/1.35 X0))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X1))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl2497])).
% 5.33/1.35 thf(zip_derived_cl4377, plain,
% 5.33/1.35 (![X0 : $i]:
% 5.33/1.35 (~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0)
% 5.33/1.35 | (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ X0 @ sk__2))
% 5.33/1.35 | ~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ X0 @ X0) @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sk__2 @ sk__2)))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__2))),
% 5.33/1.35 inference('sup-', [status(thm)], [zip_derived_cl2511, zip_derived_cl4368])).
% 5.33/1.35 thf(zip_derived_cl294, plain,
% 5.33/1.35 ( (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__2)),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl4384, plain,
% 5.33/1.35 (![X0 : $i]:
% 5.33/1.35 (~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ X0)
% 5.33/1.35 | (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ X0 @ sk__2))
% 5.33/1.35 | ~ (p @
% 5.33/1.35 (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ X0 @ X0) @
% 5.33/1.35 (cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sk__2 @ sk__2))))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl4377, zip_derived_cl294])).
% 5.33/1.35 thf(zip_derived_cl4388, plain,
% 5.33/1.35 (( (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sk__3 @ sk__2))
% 5.33/1.35 | ~ (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__3))),
% 5.33/1.35 inference('sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl4384])).
% 5.33/1.35 thf(zip_derived_cl299, plain,
% 5.33/1.35 ( (cCoq_2eNumbers_2eBinNums_2eZ___24t @ sk__3)),
% 5.33/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.35 thf(zip_derived_cl4402, plain,
% 5.33/1.35 ( (p @ (cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sk__3 @ sk__2))),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl4388, zip_derived_cl299])).
% 5.33/1.35 thf(zip_derived_cl4417, plain, ($false),
% 5.33/1.35 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl4402])).
% 5.33/1.35
% 5.33/1.35 % SZS output end Refutation
% 5.33/1.35
% 5.33/1.35
% 5.33/1.35 % Terminating...
% 6.00/1.42 % Runner terminated.
% 6.00/1.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------