%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV666+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.Mdfpl1H5Hj true
% Computer : n013.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 06:56:18 PM UTC 2026
% Result : Theorem 14.15s 2.61s
% Output : Refutation 14.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV666+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mdfpl1H5Hj true
% 0.16/0.35 % Computer : n013.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 08:00:26 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.36 % Python version: Python 3.6.8
% 0.16/0.36 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.15/2.61 % Solved by fo/fo3_bce.sh.
% 14.15/2.61 % BCE start: 70
% 14.15/2.61 % BCE eliminated: 3
% 14.15/2.61 % PE start: 67
% 14.15/2.61 logic: eq
% 14.15/2.61 % PE eliminated: -5
% 14.15/2.61 % done 315 iterations in 1.866s
% 14.15/2.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.15/2.61 % SZS output start Refutation
% 14.15/2.61 thf(cn_type, type, cn: $i).
% 14.15/2.61 thf(cM_type, type, cM: $i).
% 14.15/2.61 thf(cm_type, type, cm: $i).
% 14.15/2.61 thf(t_type, type, t: $i > $i > $o).
% 14.15/2.61 thf(c_24__type__759___24t_type, type, c_24__type__759___24t: $i > $i > $i >
% 14.15/2.61 $i > $o).
% 14.15/2.61 thf(cB_type, type, cB: $i).
% 14.15/2.61 thf(cType___24t_type, type, cType___24t: $i > $o).
% 14.15/2.61 thf(cQuicksortComplexity_2eutil_2eext__eq___24a4_type, type, cQuicksortComplexity_2eutil_2eext__eq___24a4:
% 14.15/2.61 $i > $i > $i > $i > $o).
% 14.15/2.61 thf(cg_type, type, cg: $i).
% 14.15/2.61 thf(cQuicksortComplexity_2emonads_2emon___24a2_type, type, cQuicksortComplexity_2emonads_2emon___24a2:
% 14.15/2.61 $i > $i > $i).
% 14.15/2.61 thf(cf_type, type, cf: $i).
% 14.15/2.61 thf(cA_type, type, cA: $i).
% 14.15/2.61 thf(cQuicksortComplexity_2emonads_2eextMonad___24a1_type, type, cQuicksortComplexity_2emonads_2eextMonad___24a1:
% 14.15/2.61 $i > $o).
% 14.15/2.61 thf(happ_type, type, happ: $i > $i > $i).
% 14.15/2.61 thf(c_24__type__176660___24t_type, type, c_24__type__176660___24t: $i > $o).
% 14.15/2.61 thf(cQuicksortComplexity_2emonads_2emon___24t_type, type, cQuicksortComplexity_2emonads_2emon___24t:
% 14.15/2.61 $i > $i > $i > $o).
% 14.15/2.61 thf(cQuicksortComplexity_2emonads_2ebind___24a5_type, type, cQuicksortComplexity_2emonads_2ebind___24a5:
% 14.15/2.61 $i > $i > $i > $i > $i > $i).
% 14.15/2.61 thf(cA___24t_type, type, cA___24t: $i > $o).
% 14.15/2.61 thf(sk__18_type, type, sk__18: $i > $i > $i > $i > $i).
% 14.15/2.61 thf('_HAMMER_GOAL', conjecture,
% 14.15/2.61 (( ( cm ) = ( cn ) ) =>
% 14.15/2.61 ( ( cQuicksortComplexity_2eutil_2eext__eq___24a4 @
% 14.15/2.61 cA @ ( cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB ) @ cf @
% 14.15/2.61 cg ) =>
% 14.15/2.61 ( ( cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cm @ cf ) =
% 14.15/2.61 ( cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cn @ cg ) ) ))).
% 14.15/2.61 thf(zf_stmt_0, negated_conjecture,
% 14.15/2.61 (~( ( ( cm ) = ( cn ) ) =>
% 14.15/2.61 ( ( cQuicksortComplexity_2eutil_2eext__eq___24a4 @
% 14.15/2.61 cA @ ( cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB ) @
% 14.15/2.61 cf @ cg ) =>
% 14.15/2.61 ( ( cQuicksortComplexity_2emonads_2ebind___24a5 @
% 14.15/2.61 cM @ cA @ cB @ cm @ cf ) =
% 14.15/2.61 ( cQuicksortComplexity_2emonads_2ebind___24a5 @
% 14.15/2.61 cM @ cA @ cB @ cn @ cg ) ) ) )),
% 14.15/2.61 inference('cnf.neg', [status(esa)], [_HAMMER_GOAL])).
% 14.15/2.61 thf(zip_derived_cl69, plain,
% 14.15/2.61 ( (cQuicksortComplexity_2eutil_2eext__eq___24a4 @ cA @
% 14.15/2.61 (cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB) @ cf @ cg)),
% 14.15/2.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.15/2.61 thf('$_def_QuicksortComplexity.monads.extMonad', axiom,
% 14.15/2.61 (![V0__M:$i]:
% 14.15/2.61 ( ( cQuicksortComplexity_2emonads_2eextMonad___24a1 @ V0__M ) <=>
% 14.15/2.61 ( ![V1__A:$i]:
% 14.15/2.61 ( ( cType___24t @ V1__A ) =>
% 14.15/2.61 ( ![V2__B:$i]:
% 14.15/2.61 ( ( cType___24t @ V2__B ) =>
% 14.15/2.61 ( ![V3__f:$i]:
% 14.15/2.61 ( ( c_24__type__759___24t @ V0__M @ V1__A @ V2__B @ V3__f ) =>
% 14.15/2.61 ( ![V4__g:$i]:
% 14.15/2.61 ( ( c_24__type__759___24t @ V0__M @ V1__A @ V2__B @ V4__g ) =>
% 14.15/2.61 ( ( cQuicksortComplexity_2eutil_2eext__eq___24a4 @
% 14.15/2.61 V1__A @
% 14.15/2.61 ( cQuicksortComplexity_2emonads_2emon___24a2 @
% 14.15/2.61 V0__M @ V2__B ) @
% 14.15/2.61 V3__f @ V4__g ) =>
% 14.15/2.61 ( ![V6__x:$i]:
% 14.15/2.61 ( ( cQuicksortComplexity_2emonads_2emon___24t @
% 14.15/2.61 V0__M @ V1__A @ V6__x ) =>
% 14.15/2.61 ( ( cQuicksortComplexity_2emonads_2ebind___24a5 @
% 14.15/2.61 V0__M @ V1__A @ V2__B @ V6__x @ V3__f ) =
% 14.15/2.61 ( cQuicksortComplexity_2emonads_2ebind___24a5 @
% 14.15/2.61 V0__M @ V1__A @ V2__B @ V6__x @ V4__g ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 14.15/2.61 thf(zip_derived_cl0, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.15/2.61 (~ (cType___24t @ X0)
% 14.15/2.61 | ~ (c_24__type__759___24t @ X1 @ X0 @ X2 @ X3)
% 14.15/2.61 | ~ (cQuicksortComplexity_2eutil_2eext__eq___24a4 @ X0 @
% 14.15/2.61 (cQuicksortComplexity_2emonads_2emon___24a2 @ X1 @ X2) @ X3 @ X4)
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2emon___24t @ X1 @ X0 @ X5)
% 14.15/2.61 | ((cQuicksortComplexity_2emonads_2ebind___24a5 @ X1 @ X0 @ X2 @
% 14.15/2.61 X5 @ X3)
% 14.15/2.61 = (cQuicksortComplexity_2emonads_2ebind___24a5 @ X1 @ X0 @ X2 @
% 14.15/2.61 X5 @ X4))
% 14.15/2.61 | ~ (c_24__type__759___24t @ X1 @ X0 @ X2 @ X4)
% 14.15/2.61 | ~ (cType___24t @ X2)
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2eextMonad___24a1 @ X1))),
% 14.15/2.61 inference('cnf', [status(esa)],
% 14.15/2.61 [$_def_QuicksortComplexity.monads.extMonad])).
% 14.15/2.61 thf(zip_derived_cl482, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.15/2.61 (((cA) != (X0))
% 14.15/2.61 | ((cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2emon___24a2 @ X3 @ X2))
% 14.15/2.61 | ((cf) != (X1))
% 14.15/2.61 | ((cg) != (X4))
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2eextMonad___24a1 @ X3)
% 14.15/2.61 | ~ (cType___24t @ X2)
% 14.15/2.61 | ~ (c_24__type__759___24t @ X3 @ X0 @ X2 @ X4)
% 14.15/2.61 | ((cQuicksortComplexity_2emonads_2ebind___24a5 @ X3 @ X0 @ X2 @
% 14.15/2.61 X5 @ X1)
% 14.15/2.61 = (cQuicksortComplexity_2emonads_2ebind___24a5 @ X3 @ X0 @ X2 @
% 14.15/2.61 X5 @ X4))
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2emon___24t @ X3 @ X0 @ X5)
% 14.15/2.61 | ~ (c_24__type__759___24t @ X3 @ X0 @ X2 @ X1)
% 14.15/2.61 | ~ (cType___24t @ X0))),
% 14.15/2.61 inference('dp-resolution', [status(thm)],
% 14.15/2.61 [zip_derived_cl69, zip_derived_cl0])).
% 14.15/2.61 thf(zip_derived_cl68, plain,
% 14.15/2.61 (((cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cm @ cf)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cn @
% 14.15/2.61 cg))),
% 14.15/2.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.15/2.61 thf(zip_derived_cl67, plain, (((cm) = (cn))),
% 14.15/2.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.15/2.61 thf(zip_derived_cl491, plain,
% 14.15/2.61 (((cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cm @ cf)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cm @
% 14.15/2.61 cg))),
% 14.15/2.61 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl67])).
% 14.15/2.61 thf(zip_derived_cl1697, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 (((cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cm @
% 14.15/2.61 cf)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @
% 14.15/2.61 cm @ X0))
% 14.15/2.61 | ~ (cType___24t @ cA)
% 14.15/2.61 | ~ (c_24__type__759___24t @ cM @ cA @ cB @ X0)
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cA @ cm)
% 14.15/2.61 | ~ (c_24__type__759___24t @ cM @ cA @ cB @ cg)
% 14.15/2.61 | ~ (cType___24t @ cB)
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2eextMonad___24a1 @ cM)
% 14.15/2.61 | ((cg) != (cg))
% 14.15/2.61 | ((cf) != (X0))
% 14.15/2.61 | ((cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB))
% 14.15/2.61 | ((cA) != (cA)))),
% 14.15/2.61 inference('sup-', [status(thm)], [zip_derived_cl482, zip_derived_cl491])).
% 14.15/2.61 thf('$_typeof_A', axiom, (cType___24t @ cA)).
% 14.15/2.61 thf(zip_derived_cl37, plain, ( (cType___24t @ cA)),
% 14.15/2.61 inference('cnf', [status(esa)], [$_typeof_A])).
% 14.15/2.61 thf('$_typeof_m', axiom,
% 14.15/2.61 (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cA @ cm)).
% 14.15/2.61 thf(zip_derived_cl42, plain,
% 14.15/2.61 ( (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cA @ cm)),
% 14.15/2.61 inference('cnf', [status(esa)], [$_typeof_m])).
% 14.15/2.61 thf('$_type_759', axiom,
% 14.15/2.61 (![Vv__CANONICAL__0:$i,Vv__CANONICAL__1:$i,Vv__CANONICAL__2:$i,Vvar__760:$i]:
% 14.15/2.61 ( ( c_24__type__759___24t @
% 14.15/2.61 Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 @ Vvar__760 ) <=>
% 14.15/2.61 ( ![Vv__CANONICAL__3:$i]:
% 14.15/2.61 ( ( t @ Vv__CANONICAL__3 @ Vv__CANONICAL__1 ) =>
% 14.15/2.61 ( cQuicksortComplexity_2emonads_2emon___24t @
% 14.15/2.61 Vv__CANONICAL__0 @ Vv__CANONICAL__2 @
% 14.15/2.61 ( happ @ Vvar__760 @ Vv__CANONICAL__3 ) ) ) ) ))).
% 14.15/2.61 thf(zip_derived_cl36, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.15/2.61 ( (c_24__type__759___24t @ X0 @ X1 @ X2 @ X3)
% 14.15/2.61 | (t @ (sk__18 @ X3 @ X2 @ X1 @ X0) @ X1))),
% 14.15/2.61 inference('cnf', [status(esa)], [$_type_759])).
% 14.15/2.61 thf('$tdef_A', axiom,
% 14.15/2.61 (![V_24Y:$i]: ( ( cA___24t @ V_24Y ) <=> ( t @ V_24Y @ cA ) ))).
% 14.15/2.61 thf(zip_derived_cl64, plain,
% 14.15/2.61 (![X0 : $i]: ( (cA___24t @ X0) | ~ (t @ X0 @ cA))),
% 14.15/2.61 inference('cnf', [status(esa)], [$tdef_A])).
% 14.15/2.61 thf('$_type_176660', axiom,
% 14.15/2.61 (![Vvar__176661:$i]:
% 14.15/2.61 ( ( c_24__type__176660___24t @ Vvar__176661 ) <=>
% 14.15/2.61 ( ![Vv__CANONICAL__0:$i]:
% 14.15/2.61 ( ( cA___24t @ Vv__CANONICAL__0 ) =>
% 14.15/2.61 ( cQuicksortComplexity_2emonads_2emon___24t @
% 14.15/2.61 cM @ cB @ ( happ @ Vvar__176661 @ Vv__CANONICAL__0 ) ) ) ) ))).
% 14.15/2.61 thf(zip_derived_cl11, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i]:
% 14.15/2.61 (~ (cA___24t @ X0)
% 14.15/2.61 | (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cB @
% 14.15/2.61 (happ @ X1 @ X0))
% 14.15/2.61 | ~ (c_24__type__176660___24t @ X1))),
% 14.15/2.61 inference('cnf', [status(esa)], [$_type_176660])).
% 14.15/2.61 thf(zip_derived_cl447, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i]:
% 14.15/2.61 (~ (t @ X0 @ cA)
% 14.15/2.61 | ~ (c_24__type__176660___24t @ X1)
% 14.15/2.61 | (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cB @
% 14.15/2.61 (happ @ X1 @ X0)))),
% 14.15/2.61 inference('dp-resolution', [status(thm)],
% 14.15/2.61 [zip_derived_cl64, zip_derived_cl11])).
% 14.15/2.61 thf(zip_derived_cl69, plain,
% 14.15/2.61 ( (cQuicksortComplexity_2eutil_2eext__eq___24a4 @ cA @
% 14.15/2.61 (cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB) @ cf @ cg)),
% 14.15/2.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.15/2.61 thf('$_def_QuicksortComplexity.util.ext_eq', axiom,
% 14.15/2.61 (![V0__A:$i,V1__B:$i,V2__f:$i,V3__g:$i]:
% 14.15/2.61 ( ( cQuicksortComplexity_2eutil_2eext__eq___24a4 @
% 14.15/2.61 V0__A @ V1__B @ V2__f @ V3__g ) <=>
% 14.15/2.61 ( ![V4__x:$i]:
% 14.15/2.61 ( ( t @ V4__x @ V0__A ) =>
% 14.15/2.61 ( ( happ @ V2__f @ V4__x ) = ( happ @ V3__g @ V4__x ) ) ) ) ))).
% 14.15/2.61 thf(zip_derived_cl8, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.15/2.61 (~ (t @ X0 @ X1)
% 14.15/2.61 | ((happ @ X3 @ X0) = (happ @ X2 @ X0))
% 14.15/2.61 | ~ (cQuicksortComplexity_2eutil_2eext__eq___24a4 @ X1 @ X4 @ X3 @ X2))),
% 14.15/2.61 inference('cnf', [status(esa)], [$_def_QuicksortComplexity.util.ext_eq])).
% 14.15/2.61 thf(zip_derived_cl483, plain,
% 14.15/2.61 (![X0 : $i]: (((happ @ cf @ X0) = (happ @ cg @ X0)) | ~ (t @ X0 @ cA))),
% 14.15/2.61 inference('dp-resolution', [status(thm)],
% 14.15/2.61 [zip_derived_cl69, zip_derived_cl8])).
% 14.15/2.61 thf(zip_derived_cl35, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.15/2.61 ( (c_24__type__759___24t @ X0 @ X1 @ X2 @ X3)
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2emon___24t @ X0 @ X2 @
% 14.15/2.61 (happ @ X3 @ (sk__18 @ X3 @ X2 @ X1 @ X0))))),
% 14.15/2.61 inference('cnf', [status(esa)], [$_type_759])).
% 14.15/2.61 thf(zip_derived_cl536, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.15/2.61 (~ (cQuicksortComplexity_2emonads_2emon___24t @ X0 @ X2 @
% 14.15/2.61 (happ @ cf @ (sk__18 @ cg @ X2 @ X1 @ X0)))
% 14.15/2.61 | ~ (t @ (sk__18 @ cg @ X2 @ X1 @ X0) @ cA)
% 14.15/2.61 | (c_24__type__759___24t @ X0 @ X1 @ X2 @ cg))),
% 14.15/2.61 inference('sup-', [status(thm)], [zip_derived_cl483, zip_derived_cl35])).
% 14.15/2.61 thf(zip_derived_cl657, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 (~ (c_24__type__176660___24t @ cf)
% 14.15/2.61 | ~ (t @ (sk__18 @ cg @ cB @ X0 @ cM) @ cA)
% 14.15/2.61 | (c_24__type__759___24t @ cM @ X0 @ cB @ cg)
% 14.15/2.61 | ~ (t @ (sk__18 @ cg @ cB @ X0 @ cM) @ cA))),
% 14.15/2.61 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl536])).
% 14.15/2.61 thf('$_typeof_f', axiom, (c_24__type__176660___24t @ cf)).
% 14.15/2.61 thf(zip_derived_cl40, plain, ( (c_24__type__176660___24t @ cf)),
% 14.15/2.61 inference('cnf', [status(esa)], [$_typeof_f])).
% 14.15/2.61 thf(zip_derived_cl659, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 (~ (t @ (sk__18 @ cg @ cB @ X0 @ cM) @ cA)
% 14.15/2.61 | (c_24__type__759___24t @ cM @ X0 @ cB @ cg)
% 14.15/2.61 | ~ (t @ (sk__18 @ cg @ cB @ X0 @ cM) @ cA))),
% 14.15/2.61 inference('demod', [status(thm)], [zip_derived_cl657, zip_derived_cl40])).
% 14.15/2.61 thf(zip_derived_cl660, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 ( (c_24__type__759___24t @ cM @ X0 @ cB @ cg)
% 14.15/2.61 | ~ (t @ (sk__18 @ cg @ cB @ X0 @ cM) @ cA))),
% 14.15/2.61 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 14.15/2.61 thf(zip_derived_cl666, plain,
% 14.15/2.61 (( (c_24__type__759___24t @ cM @ cA @ cB @ cg)
% 14.15/2.61 | (c_24__type__759___24t @ cM @ cA @ cB @ cg))),
% 14.15/2.61 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl660])).
% 14.15/2.61 thf(zip_derived_cl667, plain, ( (c_24__type__759___24t @ cM @ cA @ cB @ cg)),
% 14.15/2.61 inference('simplify', [status(thm)], [zip_derived_cl666])).
% 14.15/2.61 thf('$_typeof_B', axiom, (cType___24t @ cB)).
% 14.15/2.61 thf(zip_derived_cl38, plain, ( (cType___24t @ cB)),
% 14.15/2.61 inference('cnf', [status(esa)], [$_typeof_B])).
% 14.15/2.61 thf(e, axiom, (cQuicksortComplexity_2emonads_2eextMonad___24a1 @ cM)).
% 14.15/2.61 thf(zip_derived_cl57, plain,
% 14.15/2.61 ( (cQuicksortComplexity_2emonads_2eextMonad___24a1 @ cM)),
% 14.15/2.61 inference('cnf', [status(esa)], [e])).
% 14.15/2.61 thf(zip_derived_cl1746, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 (((cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @ cm @
% 14.15/2.61 cf)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @
% 14.15/2.61 cm @ X0))
% 14.15/2.61 | ~ (c_24__type__759___24t @ cM @ cA @ cB @ X0)
% 14.15/2.61 | ((cg) != (cg))
% 14.15/2.61 | ((cf) != (X0))
% 14.15/2.61 | ((cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2emon___24a2 @ cM @ cB))
% 14.15/2.61 | ((cA) != (cA)))),
% 14.15/2.61 inference('demod', [status(thm)],
% 14.15/2.61 [zip_derived_cl1697, zip_derived_cl37, zip_derived_cl42,
% 14.15/2.61 zip_derived_cl667, zip_derived_cl38, zip_derived_cl57])).
% 14.15/2.61 thf(zip_derived_cl1747, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 (((cf) != (X0))
% 14.15/2.61 | ~ (c_24__type__759___24t @ cM @ cA @ cB @ X0)
% 14.15/2.61 | ((cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @
% 14.15/2.61 cm @ cf)
% 14.15/2.61 != (cQuicksortComplexity_2emonads_2ebind___24a5 @ cM @ cA @ cB @
% 14.15/2.61 cm @ X0)))),
% 14.15/2.61 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 14.15/2.61 thf(zip_derived_cl1776, plain,
% 14.15/2.61 ((~ (c_24__type__759___24t @ cM @ cA @ cB @ cf) | ((cf) != (cf)))),
% 14.15/2.61 inference('eq_res', [status(thm)], [zip_derived_cl1747])).
% 14.15/2.61 thf(zip_derived_cl1777, plain,
% 14.15/2.61 (~ (c_24__type__759___24t @ cM @ cA @ cB @ cf)),
% 14.15/2.61 inference('simplify', [status(thm)], [zip_derived_cl1776])).
% 14.15/2.61 thf(zip_derived_cl35, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.15/2.61 ( (c_24__type__759___24t @ X0 @ X1 @ X2 @ X3)
% 14.15/2.61 | ~ (cQuicksortComplexity_2emonads_2emon___24t @ X0 @ X2 @
% 14.15/2.61 (happ @ X3 @ (sk__18 @ X3 @ X2 @ X1 @ X0))))),
% 14.15/2.61 inference('cnf', [status(esa)], [$_type_759])).
% 14.15/2.61 thf(zip_derived_cl483, plain,
% 14.15/2.61 (![X0 : $i]: (((happ @ cf @ X0) = (happ @ cg @ X0)) | ~ (t @ X0 @ cA))),
% 14.15/2.61 inference('dp-resolution', [status(thm)],
% 14.15/2.61 [zip_derived_cl69, zip_derived_cl8])).
% 14.15/2.61 thf(zip_derived_cl447, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i]:
% 14.15/2.61 (~ (t @ X0 @ cA)
% 14.15/2.61 | ~ (c_24__type__176660___24t @ X1)
% 14.15/2.61 | (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cB @
% 14.15/2.61 (happ @ X1 @ X0)))),
% 14.15/2.61 inference('dp-resolution', [status(thm)],
% 14.15/2.61 [zip_derived_cl64, zip_derived_cl11])).
% 14.15/2.61 thf(zip_derived_cl514, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 ( (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cB @
% 14.15/2.61 (happ @ cf @ X0))
% 14.15/2.61 | ~ (t @ X0 @ cA)
% 14.15/2.61 | ~ (c_24__type__176660___24t @ cg)
% 14.15/2.61 | ~ (t @ X0 @ cA))),
% 14.15/2.61 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl447])).
% 14.15/2.61 thf('$_typeof_g', axiom, (c_24__type__176660___24t @ cg)).
% 14.15/2.61 thf(zip_derived_cl41, plain, ( (c_24__type__176660___24t @ cg)),
% 14.15/2.61 inference('cnf', [status(esa)], [$_typeof_g])).
% 14.15/2.61 thf(zip_derived_cl515, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 ( (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cB @
% 14.15/2.61 (happ @ cf @ X0))
% 14.15/2.61 | ~ (t @ X0 @ cA)
% 14.15/2.61 | ~ (t @ X0 @ cA))),
% 14.15/2.61 inference('demod', [status(thm)], [zip_derived_cl514, zip_derived_cl41])).
% 14.15/2.61 thf(zip_derived_cl516, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 (~ (t @ X0 @ cA)
% 14.15/2.61 | (cQuicksortComplexity_2emonads_2emon___24t @ cM @ cB @
% 14.15/2.61 (happ @ cf @ X0)))),
% 14.15/2.61 inference('simplify', [status(thm)], [zip_derived_cl515])).
% 14.15/2.61 thf(zip_derived_cl532, plain,
% 14.15/2.61 (![X0 : $i]:
% 14.15/2.61 ( (c_24__type__759___24t @ cM @ X0 @ cB @ cf)
% 14.15/2.61 | ~ (t @ (sk__18 @ cf @ cB @ X0 @ cM) @ cA))),
% 14.15/2.61 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl516])).
% 14.15/2.61 thf(zip_derived_cl36, plain,
% 14.15/2.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.15/2.61 ( (c_24__type__759___24t @ X0 @ X1 @ X2 @ X3)
% 14.15/2.61 | (t @ (sk__18 @ X3 @ X2 @ X1 @ X0) @ X1))),
% 14.15/2.61 inference('cnf', [status(esa)], [$_type_759])).
% 14.15/2.61 thf(zip_derived_cl612, plain,
% 14.15/2.61 (( (c_24__type__759___24t @ cM @ cA @ cB @ cf)
% 14.15/2.61 | (c_24__type__759___24t @ cM @ cA @ cB @ cf))),
% 14.15/2.61 inference('sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl36])).
% 14.15/2.61 thf(zip_derived_cl614, plain, ( (c_24__type__759___24t @ cM @ cA @ cB @ cf)),
% 14.15/2.61 inference('simplify', [status(thm)], [zip_derived_cl612])).
% 14.15/2.61 thf(zip_derived_cl1778, plain, ($false),
% 14.15/2.61 inference('demod', [status(thm)], [zip_derived_cl1777, zip_derived_cl614])).
% 14.15/2.61
% 14.15/2.61 % SZS output end Refutation
% 14.15/2.61
% 14.15/2.61
% 14.15/2.61 % Terminating...
% 14.15/2.66 % Runner terminated.
% 14.15/2.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------