TSTP Solution File: GEO331+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aO02lFQJ80 true
% Computer : n010.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 : Wed Aug 30 23:58:24 EDT 2023
% Result : Theorem 9.84s 2.08s
% Output : Refutation 9.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aO02lFQJ80 true
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 23:25:48 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.73 % Total configuration time : 435
% 0.22/0.73 % Estimated wc time : 1092
% 0.22/0.73 % Estimated cpu time (7 cpus) : 156.0
% 0.64/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.66/0.83 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.66/0.83 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.66/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.66/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.66/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.66/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.84/2.08 % Solved by fo/fo5.sh.
% 9.84/2.08 % done 505 iterations in 1.211s
% 9.84/2.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.84/2.08 % SZS output start Refutation
% 9.84/2.08 thf(sk__2_type, type, sk__2: $i).
% 9.84/2.08 thf(vd1354_type, type, vd1354: $i).
% 9.84/2.08 thf(sk__type, type, sk_: $i).
% 9.84/2.08 thf(rpoint_type, type, rpoint: $i > $o).
% 9.84/2.08 thf(vd1353_type, type, vd1353: $i).
% 9.84/2.08 thf(vd1352_type, type, vd1352: $i).
% 9.84/2.08 thf(vf_type, type, vf: $i > $i > $i).
% 9.84/2.08 thf(sk__1_type, type, sk__1: $i).
% 9.84/2.08 thf(vangle_type, type, vangle: $i > $i > $i > $i).
% 9.84/2.08 thf(rless_type, type, rless: $i > $i > $o).
% 9.84/2.08 thf('holds(383, 1356, 0)', axiom,
% 9.84/2.08 (( vangle @ vd1352 @ vd1353 @ vd1354 ) =
% 9.84/2.08 ( vangle @ vd1352 @ vd1354 @ vd1353 ))).
% 9.84/2.08 thf(zip_derived_cl1, plain,
% 9.84/2.08 (((vangle @ vd1352 @ vd1353 @ vd1354)
% 9.84/2.08 = (vangle @ vd1352 @ vd1354 @ vd1353))),
% 9.84/2.08 inference('cnf', [status(esa)], [holds(383, 1356, 0)])).
% 9.84/2.08 thf(qe(s1(plural(383))), axiom,
% 9.84/2.08 (?[Vd1357:$i]: ( ( rpoint @ Vd1357 ) & ( ( vd1352 ) = ( Vd1357 ) ) ))).
% 9.84/2.08 thf(zip_derived_cl9, plain, (((vd1352) = (sk__2))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(qe(s2(plural(383))), axiom,
% 9.84/2.08 (?[Vd1358:$i]: ( ( rpoint @ Vd1358 ) & ( ( vd1353 ) = ( Vd1358 ) ) ))).
% 9.84/2.08 thf(zip_derived_cl7, plain, (((vd1353) = (sk__1))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(qe(s3(plural(383))), axiom,
% 9.84/2.08 (?[Vd1359:$i]: ( ( rpoint @ Vd1359 ) & ( ( vd1354 ) = ( Vd1359 ) ) ))).
% 9.84/2.08 thf(zip_derived_cl5, plain, (((vd1354) = (sk_))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl9, plain, (((vd1352) = (sk__2))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl5, plain, (((vd1354) = (sk_))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl7, plain, (((vd1353) = (sk__1))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl284, plain,
% 9.84/2.08 (((vangle @ sk__2 @ sk__1 @ sk_) = (vangle @ sk__2 @ sk_ @ sk__1))),
% 9.84/2.08 inference('demod', [status(thm)],
% 9.84/2.08 [zip_derived_cl1, zip_derived_cl9, zip_derived_cl7,
% 9.84/2.08 zip_derived_cl5, zip_derived_cl9, zip_derived_cl5,
% 9.84/2.08 zip_derived_cl7])).
% 9.84/2.08 thf('ass(cond(proof(385), 0), 0)', axiom,
% 9.84/2.08 (![Vd1361:$i,Vd1362:$i,Vd1363:$i]:
% 9.84/2.08 ( ( ( ( vangle @ Vd1361 @ Vd1362 @ Vd1363 ) =
% 9.84/2.08 ( vangle @ Vd1361 @ Vd1363 @ Vd1362 ) ) &
% 9.84/2.08 ( ( Vd1362 ) != ( Vd1363 ) ) & ( ( Vd1361 ) != ( Vd1363 ) ) &
% 9.84/2.08 ( ( Vd1361 ) != ( Vd1362 ) ) &
% 9.84/2.08 ( ?[Vd1368:$i]: ( ( rpoint @ Vd1368 ) & ( ( Vd1363 ) = ( Vd1368 ) ) ) ) &
% 9.84/2.08 ( ?[Vd1367:$i]: ( ( rpoint @ Vd1367 ) & ( ( Vd1362 ) = ( Vd1367 ) ) ) ) &
% 9.84/2.08 ( ?[Vd1366:$i]: ( ( rpoint @ Vd1366 ) & ( ( Vd1361 ) = ( Vd1366 ) ) ) ) ) =>
% 9.84/2.08 ( ( ( vf @ Vd1361 @ Vd1362 ) != ( vf @ Vd1361 @ Vd1363 ) ) =>
% 9.84/2.08 ( ( rless @ ( vf @ Vd1361 @ Vd1362 ) @ ( vf @ Vd1361 @ Vd1363 ) ) |
% 9.84/2.08 ( rless @ ( vf @ Vd1361 @ Vd1363 ) @ ( vf @ Vd1361 @ Vd1362 ) ) ) ) ))).
% 9.84/2.08 thf(zip_derived_cl11, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.84/2.08 (((X1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((X3) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((X1) = (X3))
% 9.84/2.08 | ((vangle @ X1 @ X3 @ X4) != (vangle @ X1 @ X4 @ X3))
% 9.84/2.08 | ((X3) = (X4))
% 9.84/2.08 | ((X1) = (X4))
% 9.84/2.08 | ~ (rpoint @ X5)
% 9.84/2.08 | ((X4) != (X5))
% 9.84/2.08 | (rless @ (vf @ X1 @ X4) @ (vf @ X1 @ X3))
% 9.84/2.08 | (rless @ (vf @ X1 @ X3) @ (vf @ X1 @ X4))
% 9.84/2.08 | ((vf @ X1 @ X3) = (vf @ X1 @ X4)))),
% 9.84/2.08 inference('cnf', [status(esa)], [ass(cond(proof(385), 0), 0)])).
% 9.84/2.08 thf(zip_derived_cl285, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((vangle @ sk__2 @ sk_ @ sk__1) != (vangle @ sk__2 @ sk_ @ sk__1))
% 9.84/2.08 | ((vf @ sk__2 @ sk__1) = (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ((sk__1) = (sk_))
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__2) != (X2)))),
% 9.84/2.08 inference('sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl11])).
% 9.84/2.08 thf(zip_derived_cl289, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((sk__2) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ((sk__1) = (sk_))
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_))
% 9.84/2.08 | ((vf @ sk__2 @ sk__1) = (vf @ sk__2 @ sk_)))),
% 9.84/2.08 inference('simplify', [status(thm)], [zip_derived_cl285])).
% 9.84/2.08 thf('holds(384, 1360, 0)', conjecture,
% 9.84/2.08 (( vf @ vd1352 @ vd1353 ) = ( vf @ vd1352 @ vd1354 ))).
% 9.84/2.08 thf(zf_stmt_0, negated_conjecture,
% 9.84/2.08 (( vf @ vd1352 @ vd1353 ) != ( vf @ vd1352 @ vd1354 )),
% 9.84/2.08 inference('cnf.neg', [status(esa)], [holds(384, 1360, 0)])).
% 9.84/2.08 thf(zip_derived_cl0, plain,
% 9.84/2.08 (((vf @ vd1352 @ vd1353) != (vf @ vd1352 @ vd1354))),
% 9.84/2.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.84/2.08 thf(zip_derived_cl9, plain, (((vd1352) = (sk__2))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl7, plain, (((vd1353) = (sk__1))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl9, plain, (((vd1352) = (sk__2))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl5, plain, (((vd1354) = (sk_))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl281, plain, (((vf @ sk__2 @ sk__1) != (vf @ sk__2 @ sk_))),
% 9.84/2.08 inference('demod', [status(thm)],
% 9.84/2.08 [zip_derived_cl0, zip_derived_cl9, zip_derived_cl7,
% 9.84/2.08 zip_derived_cl9, zip_derived_cl5])).
% 9.84/2.08 thf('pred(383, 8)', axiom, (( vd1352 ) != ( vd1354 ))).
% 9.84/2.08 thf(zip_derived_cl3, plain, (((vd1352) != (vd1354))),
% 9.84/2.08 inference('cnf', [status(esa)], [pred(383, 8)])).
% 9.84/2.08 thf(zip_derived_cl5, plain, (((vd1354) = (sk_))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl277, plain, (((vd1352) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 9.84/2.08 thf(zip_derived_cl9, plain, (((vd1352) = (sk__2))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl280, plain, (((sk__2) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl9])).
% 9.84/2.08 thf('pred(383, 9)', axiom, (( vd1353 ) != ( vd1354 ))).
% 9.84/2.08 thf(zip_derived_cl2, plain, (((vd1353) != (vd1354))),
% 9.84/2.08 inference('cnf', [status(esa)], [pred(383, 9)])).
% 9.84/2.08 thf(zip_derived_cl5, plain, (((vd1354) = (sk_))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl276, plain, (((vd1353) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 9.84/2.08 thf(zip_derived_cl7, plain, (((vd1353) = (sk__1))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl279, plain, (((sk__1) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl7])).
% 9.84/2.08 thf('pred(383, 7)', axiom, (( vd1352 ) != ( vd1353 ))).
% 9.84/2.08 thf(zip_derived_cl4, plain, (((vd1352) != (vd1353))),
% 9.84/2.08 inference('cnf', [status(esa)], [pred(383, 7)])).
% 9.84/2.08 thf(zip_derived_cl7, plain, (((vd1353) = (sk__1))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl278, plain, (((vd1352) != (sk__1))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 9.84/2.08 thf(zip_derived_cl9, plain, (((vd1352) = (sk__2))),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl282, plain, (((sk__2) != (sk__1))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl9])).
% 9.84/2.08 thf(zip_derived_cl290, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((sk__2) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_)))),
% 9.84/2.08 inference('simplify_reflect-', [status(thm)],
% 9.84/2.08 [zip_derived_cl289, zip_derived_cl281, zip_derived_cl280,
% 9.84/2.08 zip_derived_cl279, zip_derived_cl282])).
% 9.84/2.08 thf(zip_derived_cl2398, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i]:
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ sk__2))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl290])).
% 9.84/2.08 thf(zip_derived_cl10, plain, ( (rpoint @ sk__2)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2399, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i]:
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2398, zip_derived_cl10])).
% 9.84/2.08 thf(zip_derived_cl2400, plain,
% 9.84/2.08 (![X0 : $i]:
% 9.84/2.08 (((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ sk_)
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_)))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2399])).
% 9.84/2.08 thf(zip_derived_cl6, plain, ( (rpoint @ sk_)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2401, plain,
% 9.84/2.08 (![X0 : $i]:
% 9.84/2.08 (((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2400, zip_derived_cl6])).
% 9.84/2.08 thf(zip_derived_cl2403, plain,
% 9.84/2.08 (( (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ~ (rpoint @ sk__1))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2401])).
% 9.84/2.08 thf(zip_derived_cl8, plain, ( (rpoint @ sk__1)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2404, plain,
% 9.84/2.08 (( (rless @ (vf @ sk__2 @ sk__1) @ (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2403, zip_derived_cl8])).
% 9.84/2.08 thf('ass(cond(proof(385), 0), 1)', axiom,
% 9.84/2.08 (![Vd1361:$i,Vd1362:$i,Vd1363:$i]:
% 9.84/2.08 ( ( ( ( vangle @ Vd1361 @ Vd1362 @ Vd1363 ) =
% 9.84/2.08 ( vangle @ Vd1361 @ Vd1363 @ Vd1362 ) ) &
% 9.84/2.08 ( ( Vd1362 ) != ( Vd1363 ) ) & ( ( Vd1361 ) != ( Vd1363 ) ) &
% 9.84/2.08 ( ( Vd1361 ) != ( Vd1362 ) ) &
% 9.84/2.08 ( ?[Vd1368:$i]: ( ( rpoint @ Vd1368 ) & ( ( Vd1363 ) = ( Vd1368 ) ) ) ) &
% 9.84/2.08 ( ?[Vd1367:$i]: ( ( rpoint @ Vd1367 ) & ( ( Vd1362 ) = ( Vd1367 ) ) ) ) &
% 9.84/2.08 ( ?[Vd1366:$i]: ( ( rpoint @ Vd1366 ) & ( ( Vd1361 ) = ( Vd1366 ) ) ) ) ) =>
% 9.84/2.08 ( ( ( vf @ Vd1361 @ Vd1362 ) != ( vf @ Vd1361 @ Vd1363 ) ) =>
% 9.84/2.08 ( ~( rless @ ( vf @ Vd1361 @ Vd1362 ) @ ( vf @ Vd1361 @ Vd1363 ) ) ) ) ))).
% 9.84/2.08 thf(zip_derived_cl12, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.84/2.08 (((X1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((X3) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((X1) = (X3))
% 9.84/2.08 | ((vangle @ X1 @ X3 @ X4) != (vangle @ X1 @ X4 @ X3))
% 9.84/2.08 | ((X3) = (X4))
% 9.84/2.08 | ((X1) = (X4))
% 9.84/2.08 | ~ (rpoint @ X5)
% 9.84/2.08 | ((X4) != (X5))
% 9.84/2.08 | ~ (rless @ (vf @ X1 @ X3) @ (vf @ X1 @ X4))
% 9.84/2.08 | ((vf @ X1 @ X3) = (vf @ X1 @ X4)))),
% 9.84/2.08 inference('cnf', [status(esa)], [ass(cond(proof(385), 0), 1)])).
% 9.84/2.08 thf(zip_derived_cl2406, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((vf @ sk__2 @ sk__1) = (vf @ sk__2 @ sk_))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ((sk__1) = (sk_))
% 9.84/2.08 | ((vangle @ sk__2 @ sk__1 @ sk_) != (vangle @ sk__2 @ sk_ @ sk__1))
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__2) != (X2)))),
% 9.84/2.08 inference('sup-', [status(thm)], [zip_derived_cl2404, zip_derived_cl12])).
% 9.84/2.08 thf(zip_derived_cl284, plain,
% 9.84/2.08 (((vangle @ sk__2 @ sk__1 @ sk_) = (vangle @ sk__2 @ sk_ @ sk__1))),
% 9.84/2.08 inference('demod', [status(thm)],
% 9.84/2.08 [zip_derived_cl1, zip_derived_cl9, zip_derived_cl7,
% 9.84/2.08 zip_derived_cl5, zip_derived_cl9, zip_derived_cl5,
% 9.84/2.08 zip_derived_cl7])).
% 9.84/2.08 thf(zip_derived_cl2428, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((vf @ sk__2 @ sk__1) = (vf @ sk__2 @ sk_))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ((sk__1) = (sk_))
% 9.84/2.08 | ((vangle @ sk__2 @ sk_ @ sk__1) != (vangle @ sk__2 @ sk_ @ sk__1))
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__2) != (X2)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2406, zip_derived_cl284])).
% 9.84/2.08 thf(zip_derived_cl2429, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((sk__2) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ((sk__1) = (sk_))
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ((vf @ sk__2 @ sk__1) = (vf @ sk__2 @ sk_))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1)))),
% 9.84/2.08 inference('simplify', [status(thm)], [zip_derived_cl2428])).
% 9.84/2.08 thf(zip_derived_cl281, plain, (((vf @ sk__2 @ sk__1) != (vf @ sk__2 @ sk_))),
% 9.84/2.08 inference('demod', [status(thm)],
% 9.84/2.08 [zip_derived_cl0, zip_derived_cl9, zip_derived_cl7,
% 9.84/2.08 zip_derived_cl9, zip_derived_cl5])).
% 9.84/2.08 thf(zip_derived_cl280, plain, (((sk__2) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl9])).
% 9.84/2.08 thf(zip_derived_cl279, plain, (((sk__1) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl7])).
% 9.84/2.08 thf(zip_derived_cl282, plain, (((sk__2) != (sk__1))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl9])).
% 9.84/2.08 thf(zip_derived_cl2430, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((sk__2) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1)))),
% 9.84/2.08 inference('simplify_reflect-', [status(thm)],
% 9.84/2.08 [zip_derived_cl2429, zip_derived_cl281, zip_derived_cl280,
% 9.84/2.08 zip_derived_cl279, zip_derived_cl282])).
% 9.84/2.08 thf(zip_derived_cl2502, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i]:
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1))
% 9.84/2.08 | ~ (rpoint @ sk__2))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2430])).
% 9.84/2.08 thf(zip_derived_cl10, plain, ( (rpoint @ sk__2)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2503, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i]:
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk_) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__1) != (X1)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2502, zip_derived_cl10])).
% 9.84/2.08 thf(zip_derived_cl2541, plain,
% 9.84/2.08 (![X0 : $i]:
% 9.84/2.08 (((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ sk_)
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1)))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2503])).
% 9.84/2.08 thf(zip_derived_cl6, plain, ( (rpoint @ sk_)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2542, plain,
% 9.84/2.08 (![X0 : $i]:
% 9.84/2.08 (((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2541, zip_derived_cl6])).
% 9.84/2.08 thf(zip_derived_cl2543, plain,
% 9.84/2.08 (( (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ~ (rpoint @ sk__1))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2542])).
% 9.84/2.08 thf(zip_derived_cl8, plain, ( (rpoint @ sk__1)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2544, plain,
% 9.84/2.08 ( (rless @ (vf @ sk__2 @ sk_) @ (vf @ sk__2 @ sk__1))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2543, zip_derived_cl8])).
% 9.84/2.08 thf(zip_derived_cl12, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.84/2.08 (((X1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((X3) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((X1) = (X3))
% 9.84/2.08 | ((vangle @ X1 @ X3 @ X4) != (vangle @ X1 @ X4 @ X3))
% 9.84/2.08 | ((X3) = (X4))
% 9.84/2.08 | ((X1) = (X4))
% 9.84/2.08 | ~ (rpoint @ X5)
% 9.84/2.08 | ((X4) != (X5))
% 9.84/2.08 | ~ (rless @ (vf @ X1 @ X3) @ (vf @ X1 @ X4))
% 9.84/2.08 | ((vf @ X1 @ X3) = (vf @ X1 @ X4)))),
% 9.84/2.08 inference('cnf', [status(esa)], [ass(cond(proof(385), 0), 1)])).
% 9.84/2.08 thf(zip_derived_cl2546, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((vf @ sk__2 @ sk_) = (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ((sk_) = (sk__1))
% 9.84/2.08 | ((vangle @ sk__2 @ sk_ @ sk__1) != (vangle @ sk__2 @ sk__1 @ sk_))
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk_) != (X1))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__2) != (X2)))),
% 9.84/2.08 inference('sup-', [status(thm)], [zip_derived_cl2544, zip_derived_cl12])).
% 9.84/2.08 thf(zip_derived_cl284, plain,
% 9.84/2.08 (((vangle @ sk__2 @ sk__1 @ sk_) = (vangle @ sk__2 @ sk_ @ sk__1))),
% 9.84/2.08 inference('demod', [status(thm)],
% 9.84/2.08 [zip_derived_cl1, zip_derived_cl9, zip_derived_cl7,
% 9.84/2.08 zip_derived_cl5, zip_derived_cl9, zip_derived_cl5,
% 9.84/2.08 zip_derived_cl7])).
% 9.84/2.08 thf(zip_derived_cl2568, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((vf @ sk__2 @ sk_) = (vf @ sk__2 @ sk__1))
% 9.84/2.08 | ((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ((sk_) = (sk__1))
% 9.84/2.08 | ((vangle @ sk__2 @ sk_ @ sk__1) != (vangle @ sk__2 @ sk_ @ sk__1))
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk_) != (X1))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk__2) != (X2)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2546, zip_derived_cl284])).
% 9.84/2.08 thf(zip_derived_cl2569, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((sk__2) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk_) != (X1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk__2) = (sk_))
% 9.84/2.08 | ((sk_) = (sk__1))
% 9.84/2.08 | ((sk__2) = (sk__1))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__1) != (X0))
% 9.84/2.08 | ((vf @ sk__2 @ sk_) = (vf @ sk__2 @ sk__1)))),
% 9.84/2.08 inference('simplify', [status(thm)], [zip_derived_cl2568])).
% 9.84/2.08 thf(zip_derived_cl281, plain, (((vf @ sk__2 @ sk__1) != (vf @ sk__2 @ sk_))),
% 9.84/2.08 inference('demod', [status(thm)],
% 9.84/2.08 [zip_derived_cl0, zip_derived_cl9, zip_derived_cl7,
% 9.84/2.08 zip_derived_cl9, zip_derived_cl5])).
% 9.84/2.08 thf(zip_derived_cl282, plain, (((sk__2) != (sk__1))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl9])).
% 9.84/2.08 thf(zip_derived_cl279, plain, (((sk__1) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl7])).
% 9.84/2.08 thf(zip_derived_cl280, plain, (((sk__2) != (sk_))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl9])).
% 9.84/2.08 thf(zip_derived_cl2570, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.84/2.08 (((sk__2) != (X2))
% 9.84/2.08 | ~ (rpoint @ X2)
% 9.84/2.08 | ((sk_) != (X1))
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ((sk__1) != (X0)))),
% 9.84/2.08 inference('simplify_reflect-', [status(thm)],
% 9.84/2.08 [zip_derived_cl2569, zip_derived_cl281, zip_derived_cl282,
% 9.84/2.08 zip_derived_cl279, zip_derived_cl280])).
% 9.84/2.08 thf(zip_derived_cl2609, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i]:
% 9.84/2.08 (((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk_) != (X1))
% 9.84/2.08 | ~ (rpoint @ sk__2))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2570])).
% 9.84/2.08 thf(zip_derived_cl10, plain, ( (rpoint @ sk__2)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s1(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2610, plain,
% 9.84/2.08 (![X0 : $i, X1 : $i]:
% 9.84/2.08 (((sk__1) != (X0))
% 9.84/2.08 | ~ (rpoint @ X0)
% 9.84/2.08 | ~ (rpoint @ X1)
% 9.84/2.08 | ((sk_) != (X1)))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2609, zip_derived_cl10])).
% 9.84/2.08 thf(zip_derived_cl2611, plain,
% 9.84/2.08 (![X0 : $i]: (((sk_) != (X0)) | ~ (rpoint @ X0) | ~ (rpoint @ sk__1))),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2610])).
% 9.84/2.08 thf(zip_derived_cl8, plain, ( (rpoint @ sk__1)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s2(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2612, plain,
% 9.84/2.08 (![X0 : $i]: (((sk_) != (X0)) | ~ (rpoint @ X0))),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2611, zip_derived_cl8])).
% 9.84/2.08 thf(zip_derived_cl2613, plain, (~ (rpoint @ sk_)),
% 9.84/2.08 inference('eq_res', [status(thm)], [zip_derived_cl2612])).
% 9.84/2.08 thf(zip_derived_cl6, plain, ( (rpoint @ sk_)),
% 9.84/2.08 inference('cnf', [status(esa)], [qe(s3(plural(383)))])).
% 9.84/2.08 thf(zip_derived_cl2614, plain, ($false),
% 9.84/2.08 inference('demod', [status(thm)], [zip_derived_cl2613, zip_derived_cl6])).
% 9.84/2.08
% 9.84/2.08 % SZS output end Refutation
% 9.84/2.08
% 9.84/2.08
% 9.84/2.08 % Terminating...
% 10.28/2.16 % Runner terminated.
% 10.28/2.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------