%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV637+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ebvM4nXdI0 true
% Computer : n015.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 06:56:16 PM UTC 2026
% Result : Theorem 9.27s 1.97s
% Output : Refutation 9.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV637+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ebvM4nXdI0 true
% 0.17/0.34 % Computer : n015.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 06:49:46 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.27/1.97 % Solved by fo/fo3_bce.sh.
% 9.27/1.97 % BCE start: 227
% 9.27/1.97 % BCE eliminated: 14
% 9.27/1.97 % PE start: 213
% 9.27/1.97 logic: eq
% 9.27/1.97 % PE eliminated: 1
% 9.27/1.97 % done 126 iterations in 1.242s
% 9.27/1.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.27/1.97 % SZS output start Refutation
% 9.27/1.97 thf(cCoq_2eInit_2eDatatypes_2enat___24t_type, type, cCoq_2eInit_2eDatatypes_2enat___24t:
% 9.27/1.97 $i > $o).
% 9.27/1.97 thf(sk__14_type, type, sk__14: $i).
% 9.27/1.97 thf(p_type, type, p: $i > $o).
% 9.27/1.97 thf(cCoq_2eInit_2ePeano_2ele___24a2_type, type, cCoq_2eInit_2ePeano_2ele___24a2:
% 9.27/1.97 $i > $i > $i).
% 9.27/1.97 thf(cCoq_2eInit_2eDatatypes_2eS___24a1_type, type, cCoq_2eInit_2eDatatypes_2eS___24a1:
% 9.27/1.97 $i > $i).
% 9.27/1.97 thf(sk__13_type, type, sk__13: $i).
% 9.27/1.97 thf(cIndProp_2elt___24a2_type, type, cIndProp_2elt___24a2: $i > $i > $o).
% 9.27/1.97 thf('$_def_IndProp.lt', axiom,
% 9.27/1.97 (![V0__n:$i,V1__m:$i]:
% 9.27/1.97 ( ( cIndProp_2elt___24a2 @ V0__n @ V1__m ) <=>
% 9.27/1.97 ( p @
% 9.27/1.97 ( cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ V0__n ) @ V1__m ) ) ))).
% 9.27/1.97 thf(zip_derived_cl15, plain,
% 9.27/1.97 (![X0 : $i, X1 : $i]:
% 9.27/1.97 ( (cIndProp_2elt___24a2 @ X0 @ X1)
% 9.27/1.97 | ~ (p @
% 9.27/1.97 (cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X0) @ X1)))),
% 9.27/1.97 inference('cnf', [status(esa)], [$_def_IndProp.lt])).
% 9.27/1.97 thf('_HAMMER_GOAL', conjecture,
% 9.27/1.97 (![V0__n:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.27/1.97 ( ![V1__m:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V1__m ) =>
% 9.27/1.97 ( ( cIndProp_2elt___24a2 @ V0__n @ V1__m ) =>
% 9.27/1.97 ( cIndProp_2elt___24a2 @
% 9.27/1.97 V0__n @ ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ V1__m ) ) ) ) ) ))).
% 9.27/1.97 thf(zf_stmt_0, negated_conjecture,
% 9.27/1.97 (~( ![V0__n:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.27/1.97 ( ![V1__m:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V1__m ) =>
% 9.27/1.97 ( ( cIndProp_2elt___24a2 @ V0__n @ V1__m ) =>
% 9.27/1.97 ( cIndProp_2elt___24a2 @
% 9.27/1.97 V0__n @ ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ V1__m ) ) ) ) ) ) )),
% 9.27/1.97 inference('cnf.neg', [status(esa)], [_HAMMER_GOAL])).
% 9.27/1.97 thf(zip_derived_cl225, plain,
% 9.27/1.97 (~ (cIndProp_2elt___24a2 @ sk__13 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ sk__14))),
% 9.27/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.27/1.97 thf(zip_derived_cl1971, plain,
% 9.27/1.97 (~ (p @
% 9.27/1.97 (cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ sk__13) @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ sk__14)))),
% 9.27/1.97 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl225])).
% 9.27/1.97 thf(Coq.Arith.Le.le_n_S, axiom,
% 9.27/1.97 (![V0__n:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.27/1.97 ( ![V1__m:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V1__m ) =>
% 9.27/1.97 ( ( p @ ( cCoq_2eInit_2ePeano_2ele___24a2 @ V0__n @ V1__m ) ) =>
% 9.27/1.97 ( p @
% 9.27/1.97 ( cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ V0__n ) @
% 9.27/1.97 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ V1__m ) ) ) ) ) ) ))).
% 9.27/1.97 thf(zip_derived_cl27, plain,
% 9.27/1.97 (![X0 : $i, X1 : $i]:
% 9.27/1.97 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.27/1.97 | (p @
% 9.27/1.97 (cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X1) @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X0)))
% 9.27/1.97 | ~ (p @ (cCoq_2eInit_2ePeano_2ele___24a2 @ X1 @ X0))
% 9.27/1.97 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X1))),
% 9.27/1.97 inference('cnf', [status(esa)], [Coq.Arith.Le.le_n_S])).
% 9.27/1.97 thf(zip_derived_cl2301, plain,
% 9.27/1.97 ((~ (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__13)
% 9.27/1.97 | ~ (p @ (cCoq_2eInit_2ePeano_2ele___24a2 @ sk__13 @ sk__14))
% 9.27/1.97 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__14))),
% 9.27/1.97 inference('sup+', [status(thm)], [zip_derived_cl1971, zip_derived_cl27])).
% 9.27/1.97 thf(zip_derived_cl223, plain,
% 9.27/1.97 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__13)),
% 9.27/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.27/1.97 thf(zip_derived_cl14, plain,
% 9.27/1.97 (![X0 : $i, X1 : $i]:
% 9.27/1.97 ( (p @
% 9.27/1.97 (cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X0) @ X1))
% 9.27/1.97 | ~ (cIndProp_2elt___24a2 @ X0 @ X1))),
% 9.27/1.97 inference('cnf', [status(esa)], [$_def_IndProp.lt])).
% 9.27/1.97 thf(zip_derived_cl224, plain, ( (cIndProp_2elt___24a2 @ sk__13 @ sk__14)),
% 9.27/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.27/1.97 thf(zip_derived_cl1954, plain,
% 9.27/1.97 ( (p @
% 9.27/1.97 (cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ sk__13) @ sk__14))),
% 9.27/1.97 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl224])).
% 9.27/1.97 thf(Coq.Arith.Le.le_Sn_le, axiom,
% 9.27/1.97 (![V0__n:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.27/1.97 ( ![V1__m:$i]:
% 9.27/1.97 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V1__m ) =>
% 9.27/1.97 ( ( p @
% 9.27/1.97 ( cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ V0__n ) @ V1__m ) ) =>
% 9.27/1.97 ( p @ ( cCoq_2eInit_2ePeano_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ))).
% 9.27/1.97 thf(zip_derived_cl26, plain,
% 9.27/1.97 (![X0 : $i, X1 : $i]:
% 9.27/1.97 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.27/1.97 | (p @ (cCoq_2eInit_2ePeano_2ele___24a2 @ X1 @ X0))
% 9.27/1.97 | ~ (p @
% 9.27/1.97 (cCoq_2eInit_2ePeano_2ele___24a2 @
% 9.27/1.97 (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X1) @ X0))
% 9.27/1.97 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X1))),
% 9.27/1.97 inference('cnf', [status(esa)], [Coq.Arith.Le.le_Sn_le])).
% 9.27/1.97 thf(zip_derived_cl2263, plain,
% 9.27/1.97 ((~ (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__13)
% 9.27/1.97 | (p @ (cCoq_2eInit_2ePeano_2ele___24a2 @ sk__13 @ sk__14))
% 9.27/1.97 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__14))),
% 9.27/1.97 inference('sup-', [status(thm)], [zip_derived_cl1954, zip_derived_cl26])).
% 9.27/1.97 thf(zip_derived_cl223, plain,
% 9.27/1.97 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__13)),
% 9.27/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.27/1.97 thf(zip_derived_cl226, plain,
% 9.27/1.97 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__14)),
% 9.27/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.27/1.97 thf(zip_derived_cl2272, plain,
% 9.27/1.97 ( (p @ (cCoq_2eInit_2ePeano_2ele___24a2 @ sk__13 @ sk__14))),
% 9.27/1.97 inference('demod', [status(thm)],
% 9.27/1.97 [zip_derived_cl2263, zip_derived_cl223, zip_derived_cl226])).
% 9.27/1.97 thf(zip_derived_cl226, plain,
% 9.27/1.97 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__14)),
% 9.27/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.27/1.97 thf(zip_derived_cl2313, plain, ($false),
% 9.27/1.97 inference('demod', [status(thm)],
% 9.27/1.97 [zip_derived_cl2301, zip_derived_cl223, zip_derived_cl2272,
% 9.27/1.97 zip_derived_cl226])).
% 9.27/1.97
% 9.27/1.97 % SZS output end Refutation
% 9.27/1.97
% 9.27/1.97
% 9.27/1.97 % Terminating...
% 10.06/2.05 % Runner terminated.
% 10.06/2.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------