TSTP Solution File: GEO295+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO295+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.T9fwifFqKu 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 : Wed Aug 30 23:58:17 EDT 2023
% Result : Theorem 16.32s 2.98s
% Output : Refutation 16.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T9fwifFqKu true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:07:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 16.32/2.98 % Solved by fo/fo5.sh.
% 16.32/2.98 % done 2450 iterations in 2.197s
% 16.32/2.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.32/2.98 % SZS output start Refutation
% 16.32/2.98 thf(vd1200_type, type, vd1200: $i).
% 16.32/2.98 thf(vangle_type, type, vangle: $i > $i > $i > $i).
% 16.32/2.98 thf(rpoint_type, type, rpoint: $i > $o).
% 16.32/2.98 thf(rline_type, type, rline: $i > $o).
% 16.32/2.98 thf(vd1185_type, type, vd1185: $i).
% 16.32/2.98 thf(sk__6_type, type, sk__6: $i).
% 16.32/2.98 thf(vd1187_type, type, vd1187: $i).
% 16.32/2.98 thf(sk__4_type, type, sk__4: $i).
% 16.32/2.98 thf(vd1186_type, type, vd1186: $i).
% 16.32/2.98 thf(rS_type, type, rS: $i > $i > $i > $o).
% 16.32/2.98 thf(sk__type, type, sk_: $i).
% 16.32/2.98 thf(vf_type, type, vf: $i > $i > $i).
% 16.32/2.98 thf(vd1179_type, type, vd1179: $i).
% 16.32/2.98 thf(vd1201_type, type, vd1201: $i).
% 16.32/2.98 thf(vd1197_type, type, vd1197: $i).
% 16.32/2.98 thf(vd1180_type, type, vd1180: $i).
% 16.32/2.98 thf(sk__5_type, type, sk__5: $i).
% 16.32/2.98 thf(vd1178_type, type, vd1178: $i).
% 16.32/2.98 thf(vd1232_type, type, vd1232: $i).
% 16.32/2.98 thf(vd1234_type, type, vd1234: $i).
% 16.32/2.98 thf(vplus_type, type, vplus: $i > $i > $i).
% 16.32/2.98 thf(ron_type, type, ron: $i > $i > $o).
% 16.32/2.98 thf('pred(s1(plural(293)), 0)', axiom, (ron @ vd1185 @ vd1232)).
% 16.32/2.98 thf(zip_derived_cl11, plain, ( (ron @ vd1185 @ vd1232)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(s1(plural(293)), 0)])).
% 16.32/2.98 thf('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))', axiom,
% 16.32/2.98 (( ?[Vd1182:$i]: ( ( rpoint @ Vd1182 ) & ( ( vd1178 ) = ( Vd1182 ) ) ) ) &
% 16.32/2.98 ( ?[Vd1183:$i]: ( ( rpoint @ Vd1183 ) & ( ( vd1179 ) = ( Vd1183 ) ) ) ) &
% 16.32/2.98 ( ?[Vd1184:$i]: ( ( rpoint @ Vd1184 ) & ( ( vd1180 ) = ( Vd1184 ) ) ) ) &
% 16.32/2.98 ( ( vd1178 ) != ( vd1179 ) ) & ( ( vd1178 ) != ( vd1180 ) ) &
% 16.32/2.98 ( ( vd1179 ) != ( vd1180 ) ) &
% 16.32/2.98 ( ?[Vd1189:$i]: ( ( rpoint @ Vd1189 ) & ( ( vd1185 ) = ( Vd1189 ) ) ) ) &
% 16.32/2.98 ( ?[Vd1190:$i]: ( ( rpoint @ Vd1190 ) & ( ( vd1186 ) = ( Vd1190 ) ) ) ) &
% 16.32/2.98 ( ?[Vd1191:$i]: ( ( rpoint @ Vd1191 ) & ( ( vd1187 ) = ( Vd1191 ) ) ) ) &
% 16.32/2.98 ( ( vf @ vd1178 @ vd1179 ) = ( vf @ vd1185 @ vd1186 ) ) &
% 16.32/2.98 ( ( vf @ vd1178 @ vd1180 ) = ( vf @ vd1185 @ vd1187 ) ) &
% 16.32/2.98 ( ( vangle @ vd1179 @ vd1178 @ vd1180 ) =
% 16.32/2.98 ( vangle @ vd1186 @ vd1185 @ vd1187 ) ) &
% 16.32/2.98 ( ~( ?[Vd1195:$i]:
% 16.32/2.98 ( ( rline @ Vd1195 ) & ( ron @ vd1185 @ Vd1195 ) &
% 16.32/2.98 ( ron @ vd1186 @ Vd1195 ) & ( ron @ vd1187 @ Vd1195 ) ) ) ))).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl330, plain, ( (ron @ sk__4 @ vd1232)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl28])).
% 16.32/2.98 thf('pred(s3(plural(274)), 0)', axiom, (ron @ vd1185 @ vd1197)).
% 16.32/2.98 thf(zip_derived_cl13, plain, ( (ron @ vd1185 @ vd1197)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(s3(plural(274)), 0)])).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl331, plain, ( (ron @ sk__4 @ vd1197)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
% 16.32/2.98 thf('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)', axiom,
% 16.32/2.98 (rS @ vd1201 @ vd1187 @ vd1197)).
% 16.32/2.98 thf(zip_derived_cl14, plain, ( (rS @ vd1201 @ vd1187 @ vd1197)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)])).
% 16.32/2.98 thf(qe(s3(plural(271))), axiom,
% 16.32/2.98 (?[Vd1205:$i]: ( ( rpoint @ Vd1205 ) & ( ( vd1201 ) = ( Vd1205 ) ) ))).
% 16.32/2.98 thf(zip_derived_cl15, plain, (((vd1201) = (sk_))),
% 16.32/2.98 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl336, plain, ( (rS @ sk_ @ sk__6 @ vd1197)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl14, zip_derived_cl15, zip_derived_cl24])).
% 16.32/2.98 thf('holds(306, 1242, 0)', axiom, (rS @ vd1200 @ vd1187 @ vd1234)).
% 16.32/2.98 thf(zip_derived_cl1, plain, ( (rS @ vd1200 @ vd1187 @ vd1234)),
% 16.32/2.98 inference('cnf', [status(esa)], [holds(306, 1242, 0)])).
% 16.32/2.98 thf('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)', axiom,
% 16.32/2.98 (( vd1200 ) = ( vd1186 ))).
% 16.32/2.98 thf(zip_derived_cl51, plain, (((vd1200) = (vd1186))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)])).
% 16.32/2.98 thf(zip_derived_cl26, plain, (((vd1186) = (sk__5))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl320, plain, (((vd1200) = (sk__5))),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl26])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl323, plain, ( (rS @ sk__5 @ sk__6 @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl1, zip_derived_cl320, zip_derived_cl24])).
% 16.32/2.98 thf('qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))', axiom,
% 16.32/2.98 (![Vd874:$i,Vd875:$i,Vd876:$i,Vd877:$i,Vd883:$i,Vd884:$i]:
% 16.32/2.98 ( ( ( ( Vd883 ) != ( Vd884 ) ) & ( ~( ron @ Vd877 @ Vd884 ) ) &
% 16.32/2.98 ( ~( ron @ Vd877 @ Vd883 ) ) & ( ( Vd874 ) != ( Vd876 ) ) &
% 16.32/2.98 ( ( Vd874 ) != ( Vd875 ) ) & ( ron @ Vd876 @ Vd884 ) &
% 16.32/2.98 ( ron @ Vd875 @ Vd883 ) & ( ron @ Vd874 @ Vd884 ) &
% 16.32/2.98 ( ron @ Vd874 @ Vd883 ) &
% 16.32/2.98 ( ?[Vd887:$i]: ( ( rline @ Vd887 ) & ( ( Vd884 ) = ( Vd887 ) ) ) ) &
% 16.32/2.98 ( ?[Vd886:$i]: ( ( rline @ Vd886 ) & ( ( Vd883 ) = ( Vd886 ) ) ) ) &
% 16.32/2.98 ( ?[Vd882:$i]: ( ( rpoint @ Vd882 ) & ( ( Vd877 ) = ( Vd882 ) ) ) ) &
% 16.32/2.98 ( ?[Vd881:$i]: ( ( rpoint @ Vd881 ) & ( ( Vd876 ) = ( Vd881 ) ) ) ) &
% 16.32/2.98 ( ?[Vd880:$i]: ( ( rpoint @ Vd880 ) & ( ( Vd875 ) = ( Vd880 ) ) ) ) &
% 16.32/2.98 ( ?[Vd879:$i]: ( ( rpoint @ Vd879 ) & ( ( Vd874 ) = ( Vd879 ) ) ) ) ) =>
% 16.32/2.98 ( ( ( vangle @ Vd875 @ Vd874 @ Vd876 ) =
% 16.32/2.98 ( vplus @
% 16.32/2.98 ( vangle @ Vd875 @ Vd874 @ Vd877 ) @
% 16.32/2.98 ( vangle @ Vd877 @ Vd874 @ Vd876 ) ) ) <=>
% 16.32/2.98 ( ( rS @ Vd876 @ Vd877 @ Vd883 ) & ( rS @ Vd875 @ Vd877 @ Vd884 ) ) ) ))).
% 16.32/2.98 thf(zip_derived_cl4, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.32/2.98 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.32/2.98 (((X1) != (X0))
% 16.32/2.98 | ~ (rpoint @ X0)
% 16.32/2.98 | ((X3) != (X2))
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ((X5) != (X4))
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ((X7) != (X6))
% 16.32/2.98 | ~ (rpoint @ X6)
% 16.32/2.98 | ((X9) != (X8))
% 16.32/2.98 | ~ (rline @ X8)
% 16.32/2.98 | ~ (ron @ X1 @ X9)
% 16.32/2.98 | ~ (ron @ X3 @ X9)
% 16.32/2.98 | ((X1) = (X3))
% 16.32/2.98 | ((X1) = (X5))
% 16.32/2.98 | (ron @ X7 @ X9)
% 16.32/2.98 | ((X9) = (X10))
% 16.32/2.98 | (ron @ X7 @ X10)
% 16.32/2.98 | ~ (ron @ X5 @ X10)
% 16.32/2.98 | ~ (ron @ X1 @ X10)
% 16.32/2.98 | ~ (rline @ X11)
% 16.32/2.98 | ((X10) != (X11))
% 16.32/2.98 | ((vangle @ X3 @ X1 @ X5)
% 16.32/2.98 = (vplus @ (vangle @ X3 @ X1 @ X7) @ (vangle @ X7 @ X1 @ X5)))
% 16.32/2.98 | ~ (rS @ X3 @ X7 @ X10)
% 16.32/2.98 | ~ (rS @ X5 @ X7 @ X9))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))])).
% 16.32/2.98 thf(zip_derived_cl335, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.32/2.98 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.32/2.98 (~ (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rS @ X4 @ X1 @ X3)
% 16.32/2.98 | ((vangle @ X4 @ X5 @ X2)
% 16.32/2.98 = (vplus @ (vangle @ X4 @ X5 @ X1) @ (vangle @ X1 @ X5 @ X2)))
% 16.32/2.98 | ((X3) != (X6))
% 16.32/2.98 | ~ (rline @ X6)
% 16.32/2.98 | ~ (ron @ X5 @ X3)
% 16.32/2.98 | ~ (ron @ X2 @ X3)
% 16.32/2.98 | (ron @ X1 @ X3)
% 16.32/2.98 | ((X0) = (X3))
% 16.32/2.98 | (ron @ X1 @ X0)
% 16.32/2.98 | ((X5) = (X2))
% 16.32/2.98 | ((X5) = (X4))
% 16.32/2.98 | ~ (ron @ X4 @ X0)
% 16.32/2.98 | ~ (ron @ X5 @ X0)
% 16.32/2.98 | ~ (rline @ X7)
% 16.32/2.98 | ((X0) != (X7))
% 16.32/2.98 | ~ (rpoint @ X8)
% 16.32/2.98 | ((X1) != (X8))
% 16.32/2.98 | ~ (rpoint @ X9)
% 16.32/2.98 | ((X2) != (X9))
% 16.32/2.98 | ~ (rpoint @ X10)
% 16.32/2.98 | ((X4) != (X10))
% 16.32/2.98 | ~ (rpoint @ X5))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 16.32/2.98 thf(zip_derived_cl337, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.32/2.98 X7 : $i, X8 : $i, X9 : $i]:
% 16.32/2.98 (~ (rpoint @ X0)
% 16.32/2.98 | ((X1) != (X2))
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ((X3) != (X4))
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ((X5) != (X6))
% 16.32/2.98 | ~ (rpoint @ X6)
% 16.32/2.98 | ((X7) != (X8))
% 16.32/2.98 | ~ (rline @ X8)
% 16.32/2.98 | ~ (ron @ X0 @ X7)
% 16.32/2.98 | ~ (ron @ X1 @ X7)
% 16.32/2.98 | ((X0) = (X1))
% 16.32/2.98 | ((X0) = (X3))
% 16.32/2.98 | (ron @ X5 @ X7)
% 16.32/2.98 | ((X7) = (X9))
% 16.32/2.98 | (ron @ X5 @ X9)
% 16.32/2.98 | ~ (ron @ X3 @ X9)
% 16.32/2.98 | ~ (ron @ X0 @ X9)
% 16.32/2.98 | ~ (rline @ X9)
% 16.32/2.98 | ((vangle @ X1 @ X0 @ X3)
% 16.32/2.98 = (vplus @ (vangle @ X1 @ X0 @ X5) @ (vangle @ X5 @ X0 @ X3)))
% 16.32/2.98 | ~ (rS @ X1 @ X5 @ X9)
% 16.32/2.98 | ~ (rS @ X3 @ X5 @ X7))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl335])).
% 16.32/2.98 thf(zip_derived_cl338, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.32/2.98 X7 : $i, X8 : $i]:
% 16.32/2.98 (~ (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rS @ X4 @ X1 @ X3)
% 16.32/2.98 | ((vangle @ X4 @ X5 @ X2)
% 16.32/2.98 = (vplus @ (vangle @ X4 @ X5 @ X1) @ (vangle @ X1 @ X5 @ X2)))
% 16.32/2.98 | ~ (rline @ X3)
% 16.32/2.98 | ~ (ron @ X5 @ X3)
% 16.32/2.98 | ~ (ron @ X2 @ X3)
% 16.32/2.98 | (ron @ X1 @ X3)
% 16.32/2.98 | ((X0) = (X3))
% 16.32/2.98 | (ron @ X1 @ X0)
% 16.32/2.98 | ((X5) = (X2))
% 16.32/2.98 | ((X5) = (X4))
% 16.32/2.98 | ~ (ron @ X4 @ X0)
% 16.32/2.98 | ~ (ron @ X5 @ X0)
% 16.32/2.98 | ~ (rline @ X6)
% 16.32/2.98 | ((X0) != (X6))
% 16.32/2.98 | ~ (rpoint @ X7)
% 16.32/2.98 | ((X1) != (X7))
% 16.32/2.98 | ~ (rpoint @ X8)
% 16.32/2.98 | ((X2) != (X8))
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ~ (rpoint @ X5))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl337])).
% 16.32/2.98 thf(zip_derived_cl339, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 16.32/2.98 (~ (rpoint @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ((X2) != (X3))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ((X4) != (X5))
% 16.32/2.98 | ~ (rpoint @ X5)
% 16.32/2.98 | ~ (rline @ X6)
% 16.32/2.98 | ~ (ron @ X0 @ X6)
% 16.32/2.98 | ~ (ron @ X1 @ X6)
% 16.32/2.98 | ((X0) = (X1))
% 16.32/2.98 | ((X0) = (X2))
% 16.32/2.98 | (ron @ X4 @ X6)
% 16.32/2.98 | ((X6) = (X7))
% 16.32/2.98 | (ron @ X4 @ X7)
% 16.32/2.98 | ~ (ron @ X2 @ X7)
% 16.32/2.98 | ~ (ron @ X0 @ X7)
% 16.32/2.98 | ~ (rline @ X7)
% 16.32/2.98 | ((vangle @ X1 @ X0 @ X2)
% 16.32/2.98 = (vplus @ (vangle @ X1 @ X0 @ X4) @ (vangle @ X4 @ X0 @ X2)))
% 16.32/2.98 | ~ (rS @ X1 @ X4 @ X7)
% 16.32/2.98 | ~ (rS @ X2 @ X4 @ X6))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl338])).
% 16.32/2.98 thf(zip_derived_cl340, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.32/2.98 (~ (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rS @ X4 @ X1 @ X3)
% 16.32/2.98 | ((vangle @ X4 @ X5 @ X2)
% 16.32/2.98 = (vplus @ (vangle @ X4 @ X5 @ X1) @ (vangle @ X1 @ X5 @ X2)))
% 16.32/2.98 | ~ (rline @ X3)
% 16.32/2.98 | ~ (ron @ X5 @ X3)
% 16.32/2.98 | ~ (ron @ X2 @ X3)
% 16.32/2.98 | (ron @ X1 @ X3)
% 16.32/2.98 | ((X0) = (X3))
% 16.32/2.98 | (ron @ X1 @ X0)
% 16.32/2.98 | ((X5) = (X2))
% 16.32/2.98 | ((X5) = (X4))
% 16.32/2.98 | ~ (ron @ X4 @ X0)
% 16.32/2.98 | ~ (ron @ X5 @ X0)
% 16.32/2.98 | ~ (rline @ X0)
% 16.32/2.98 | ~ (rpoint @ X6)
% 16.32/2.98 | ((X1) != (X6))
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ~ (rpoint @ X5))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl339])).
% 16.32/2.98 thf(zip_derived_cl341, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.32/2.98 (~ (rpoint @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ~ (rline @ X4)
% 16.32/2.98 | ~ (ron @ X0 @ X4)
% 16.32/2.98 | ~ (ron @ X1 @ X4)
% 16.32/2.98 | ((X0) = (X1))
% 16.32/2.98 | ((X0) = (X2))
% 16.32/2.98 | (ron @ X3 @ X4)
% 16.32/2.98 | ((X4) = (X5))
% 16.32/2.98 | (ron @ X3 @ X5)
% 16.32/2.98 | ~ (ron @ X2 @ X5)
% 16.32/2.98 | ~ (ron @ X0 @ X5)
% 16.32/2.98 | ~ (rline @ X5)
% 16.32/2.98 | ((vangle @ X1 @ X0 @ X2)
% 16.32/2.98 = (vplus @ (vangle @ X1 @ X0 @ X3) @ (vangle @ X3 @ X0 @ X2)))
% 16.32/2.98 | ~ (rS @ X1 @ X3 @ X5)
% 16.32/2.98 | ~ (rS @ X2 @ X3 @ X4))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl340])).
% 16.32/2.98 thf(zip_derived_cl343, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.32/2.98 (~ (rS @ X1 @ sk__6 @ X0)
% 16.32/2.98 | ((vangle @ sk__5 @ X2 @ X1)
% 16.32/2.98 = (vplus @ (vangle @ sk__5 @ X2 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ X2 @ X1)))
% 16.32/2.98 | ~ (rline @ vd1234)
% 16.32/2.98 | ~ (ron @ X2 @ vd1234)
% 16.32/2.98 | ~ (ron @ X1 @ vd1234)
% 16.32/2.98 | (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ((X0) = (vd1234))
% 16.32/2.98 | (ron @ sk__6 @ X0)
% 16.32/2.98 | ((X2) = (X1))
% 16.32/2.98 | ((X2) = (sk__5))
% 16.32/2.98 | ~ (ron @ sk__5 @ X0)
% 16.32/2.98 | ~ (ron @ X2 @ X0)
% 16.32/2.98 | ~ (rline @ X0)
% 16.32/2.98 | ~ (rpoint @ sk__6)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ~ (rpoint @ sk__5)
% 16.32/2.98 | ~ (rpoint @ X2))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl323, zip_derived_cl341])).
% 16.32/2.98 thf('pred(294, 0)', axiom, (rline @ vd1234)).
% 16.32/2.98 thf(zip_derived_cl9, plain, ( (rline @ vd1234)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(294, 0)])).
% 16.32/2.98 thf(zip_derived_cl23, plain, ( (rpoint @ sk__6)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl25, plain, ( (rpoint @ sk__5)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl347, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.32/2.98 (~ (rS @ X1 @ sk__6 @ X0)
% 16.32/2.98 | ((vangle @ sk__5 @ X2 @ X1)
% 16.32/2.98 = (vplus @ (vangle @ sk__5 @ X2 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ X2 @ X1)))
% 16.32/2.98 | ~ (ron @ X2 @ vd1234)
% 16.32/2.98 | ~ (ron @ X1 @ vd1234)
% 16.32/2.98 | (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ((X0) = (vd1234))
% 16.32/2.98 | (ron @ sk__6 @ X0)
% 16.32/2.98 | ((X2) = (X1))
% 16.32/2.98 | ((X2) = (sk__5))
% 16.32/2.98 | ~ (ron @ sk__5 @ X0)
% 16.32/2.98 | ~ (ron @ X2 @ X0)
% 16.32/2.98 | ~ (rline @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ~ (rpoint @ X2))),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl343, zip_derived_cl9, zip_derived_cl23,
% 16.32/2.98 zip_derived_cl25])).
% 16.32/2.98 thf(zip_derived_cl374, plain,
% 16.32/2.98 (![X0 : $i]:
% 16.32/2.98 (~ (rpoint @ X0)
% 16.32/2.98 | ~ (rpoint @ sk_)
% 16.32/2.98 | ~ (rline @ vd1197)
% 16.32/2.98 | ~ (ron @ X0 @ vd1197)
% 16.32/2.98 | ~ (ron @ sk__5 @ vd1197)
% 16.32/2.98 | ((X0) = (sk__5))
% 16.32/2.98 | ((X0) = (sk_))
% 16.32/2.98 | (ron @ sk__6 @ vd1197)
% 16.32/2.98 | ((vd1197) = (vd1234))
% 16.32/2.98 | (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ~ (ron @ sk_ @ vd1234)
% 16.32/2.98 | ~ (ron @ X0 @ vd1234)
% 16.32/2.98 | ((vangle @ sk__5 @ X0 @ sk_)
% 16.32/2.98 = (vplus @ (vangle @ sk__5 @ X0 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ X0 @ sk_))))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl347])).
% 16.32/2.98 thf(zip_derived_cl16, plain, ( (rpoint @ sk_)),
% 16.32/2.98 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.98 thf('pred(269, 0)', axiom, (rline @ vd1197)).
% 16.32/2.98 thf(zip_derived_cl18, plain, ( (rline @ vd1197)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(269, 0)])).
% 16.32/2.98 thf('pred(s2(plural(274)), 0)', axiom, (ron @ vd1200 @ vd1197)).
% 16.32/2.98 thf(zip_derived_cl43, plain, ( (ron @ vd1200 @ vd1197)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(s2(plural(274)), 0)])).
% 16.32/2.98 thf(zip_derived_cl320, plain, (((vd1200) = (sk__5))),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl26])).
% 16.32/2.98 thf(zip_derived_cl332, plain, ( (ron @ sk__5 @ vd1197)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl320])).
% 16.32/2.98 thf(neg(neg(270)), axiom, (~( ron @ vd1187 @ vd1197 ))).
% 16.32/2.98 thf(zip_derived_cl17, plain, (~ (ron @ vd1187 @ vd1197)),
% 16.32/2.98 inference('cnf', [status(esa)], [neg(neg(270))])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl317, plain, (~ (ron @ sk__6 @ vd1197)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl24])).
% 16.32/2.98 thf('pred(s2(plural(294)), 0)', axiom, (ron @ vd1201 @ vd1234)).
% 16.32/2.98 thf(zip_derived_cl7, plain, ( (ron @ vd1201 @ vd1234)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(s2(plural(294)), 0)])).
% 16.32/2.98 thf(zip_derived_cl15, plain, (((vd1201) = (sk_))),
% 16.32/2.98 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.98 thf(zip_derived_cl327, plain, ( (ron @ sk_ @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl15])).
% 16.32/2.98 thf(zip_derived_cl376, plain,
% 16.32/2.98 (![X0 : $i]:
% 16.32/2.98 (~ (rpoint @ X0)
% 16.32/2.98 | ~ (ron @ X0 @ vd1197)
% 16.32/2.98 | ((X0) = (sk__5))
% 16.32/2.98 | ((X0) = (sk_))
% 16.32/2.98 | ((vd1197) = (vd1234))
% 16.32/2.98 | (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ~ (ron @ X0 @ vd1234)
% 16.32/2.98 | ((vangle @ sk__5 @ X0 @ sk_)
% 16.32/2.98 = (vplus @ (vangle @ sk__5 @ X0 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ X0 @ sk_))))),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl374, zip_derived_cl16, zip_derived_cl18,
% 16.32/2.98 zip_derived_cl332, zip_derived_cl317, zip_derived_cl327])).
% 16.32/2.98 thf(zip_derived_cl379, plain,
% 16.32/2.98 ((((vangle @ sk__5 @ sk__4 @ sk_)
% 16.32/2.98 = (vplus @ (vangle @ sk__5 @ sk__4 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ sk__4 @ sk_)))
% 16.32/2.98 | ~ (ron @ sk__4 @ vd1234)
% 16.32/2.98 | (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ((vd1197) = (vd1234))
% 16.32/2.98 | ((sk__4) = (sk_))
% 16.32/2.98 | ((sk__4) = (sk__5))
% 16.32/2.98 | ~ (rpoint @ sk__4))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl376])).
% 16.32/2.98 thf('pred(s1(plural(294)), 0)', axiom, (ron @ vd1185 @ vd1234)).
% 16.32/2.98 thf(zip_derived_cl8, plain, ( (ron @ vd1185 @ vd1234)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(s1(plural(294)), 0)])).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl328, plain, ( (ron @ sk__4 @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl28])).
% 16.32/2.98 thf(zip_derived_cl27, plain, ( (rpoint @ sk__4)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl381, plain,
% 16.32/2.98 ((((vangle @ sk__5 @ sk__4 @ sk_)
% 16.32/2.98 = (vplus @ (vangle @ sk__5 @ sk__4 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ sk__4 @ sk_)))
% 16.32/2.98 | (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ((vd1197) = (vd1234))
% 16.32/2.98 | ((sk__4) = (sk_))
% 16.32/2.98 | ((sk__4) = (sk__5)))),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl379, zip_derived_cl328, zip_derived_cl27])).
% 16.32/2.98 thf('holds(307, 1243, 0)', conjecture,
% 16.32/2.98 (( vangle @ vd1186 @ vd1185 @ vd1201 ) =
% 16.32/2.98 ( vplus @
% 16.32/2.98 ( vangle @ vd1186 @ vd1185 @ vd1187 ) @
% 16.32/2.98 ( vangle @ vd1187 @ vd1185 @ vd1201 ) ))).
% 16.32/2.98 thf(zf_stmt_0, negated_conjecture,
% 16.32/2.98 (( vangle @ vd1186 @ vd1185 @ vd1201 ) !=
% 16.32/2.98 ( vplus @
% 16.32/2.98 ( vangle @ vd1186 @ vd1185 @ vd1187 ) @
% 16.32/2.98 ( vangle @ vd1187 @ vd1185 @ vd1201 ) )),
% 16.32/2.98 inference('cnf.neg', [status(esa)], [holds(307, 1243, 0)])).
% 16.32/2.98 thf(zip_derived_cl0, plain,
% 16.32/2.98 (((vangle @ vd1186 @ vd1185 @ vd1201)
% 16.32/2.98 != (vplus @ (vangle @ vd1186 @ vd1185 @ vd1187) @
% 16.32/2.98 (vangle @ vd1187 @ vd1185 @ vd1201)))),
% 16.32/2.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.32/2.98 thf(zip_derived_cl26, plain, (((vd1186) = (sk__5))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl15, plain, (((vd1201) = (sk_))),
% 16.32/2.98 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.98 thf(zip_derived_cl26, plain, (((vd1186) = (sk__5))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl15, plain, (((vd1201) = (sk_))),
% 16.32/2.98 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.98 thf(zip_derived_cl312, plain,
% 16.32/2.98 (((vangle @ sk__5 @ sk__4 @ sk_)
% 16.32/2.98 != (vplus @ (vangle @ sk__5 @ sk__4 @ sk__6) @
% 16.32/2.98 (vangle @ sk__6 @ sk__4 @ sk_)))),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl0, zip_derived_cl26, zip_derived_cl28,
% 16.32/2.98 zip_derived_cl15, zip_derived_cl26, zip_derived_cl28,
% 16.32/2.98 zip_derived_cl24, zip_derived_cl24, zip_derived_cl28,
% 16.32/2.98 zip_derived_cl15])).
% 16.32/2.98 thf(zip_derived_cl382, plain,
% 16.32/2.98 (( (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ((vd1197) = (vd1234))
% 16.32/2.98 | ((sk__4) = (sk_))
% 16.32/2.98 | ((sk__4) = (sk__5)))),
% 16.32/2.98 inference('simplify_reflect-', [status(thm)],
% 16.32/2.98 [zip_derived_cl381, zip_derived_cl312])).
% 16.32/2.98 thf(zip_derived_cl323, plain, ( (rS @ sk__5 @ sk__6 @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl1, zip_derived_cl320, zip_derived_cl24])).
% 16.32/2.98 thf('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))', axiom,
% 16.32/2.98 (![Vd425:$i,Vd426:$i,Vd430:$i,Vd431:$i]:
% 16.32/2.98 ( ( ( rS @ Vd425 @ Vd426 @ Vd430 ) & ( ( Vd430 ) = ( Vd431 ) ) &
% 16.32/2.98 ( rline @ Vd431 ) &
% 16.32/2.98 ( ?[Vd429:$i]: ( ( rpoint @ Vd429 ) & ( ( Vd426 ) = ( Vd429 ) ) ) ) &
% 16.32/2.98 ( ?[Vd428:$i]: ( ( rpoint @ Vd428 ) & ( ( Vd425 ) = ( Vd428 ) ) ) ) ) =>
% 16.32/2.98 ( rS @ Vd426 @ Vd425 @ Vd430 ) ))).
% 16.32/2.98 thf(zip_derived_cl148, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.32/2.98 ( (rS @ X0 @ X1 @ X2)
% 16.32/2.98 | ((X1) != (X3))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ((X0) != (X4))
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ~ (rS @ X1 @ X0 @ X2)
% 16.32/2.98 | ((X2) != (X5))
% 16.32/2.98 | ~ (rline @ X5))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))])).
% 16.32/2.98 thf(zip_derived_cl927, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ((X1) != (X0))
% 16.32/2.98 | ~ (rS @ X3 @ X2 @ X1)
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ((X2) != (X4))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | (rS @ X2 @ X3 @ X1))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl148])).
% 16.32/2.98 thf(zip_derived_cl8775, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.32/2.98 ( (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ((X2) != (X3))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ~ (rS @ X1 @ X2 @ X0)
% 16.32/2.98 | ~ (rline @ X0))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl927])).
% 16.32/2.98 thf(zip_derived_cl8830, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ~ (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | (rS @ X1 @ X2 @ X0))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl8775])).
% 16.32/2.98 thf(zip_derived_cl8832, plain,
% 16.32/2.98 (( (rS @ sk__6 @ sk__5 @ vd1234)
% 16.32/2.98 | ~ (rpoint @ sk__5)
% 16.32/2.98 | ~ (rpoint @ sk__6)
% 16.32/2.98 | ~ (rline @ vd1234))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl323, zip_derived_cl8830])).
% 16.32/2.98 thf(zip_derived_cl25, plain, ( (rpoint @ sk__5)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl23, plain, ( (rpoint @ sk__6)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl9, plain, ( (rline @ vd1234)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(294, 0)])).
% 16.32/2.98 thf(zip_derived_cl8837, plain, ( (rS @ sk__6 @ sk__5 @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl8832, zip_derived_cl25, zip_derived_cl23,
% 16.32/2.98 zip_derived_cl9])).
% 16.32/2.98 thf('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))', axiom,
% 16.32/2.98 (![Vd434:$i,Vd435:$i,Vd439:$i,Vd440:$i]:
% 16.32/2.98 ( ( ( rS @ Vd434 @ Vd435 @ Vd439 ) & ( ( Vd439 ) = ( Vd440 ) ) &
% 16.32/2.98 ( rline @ Vd440 ) &
% 16.32/2.98 ( ?[Vd438:$i]: ( ( rpoint @ Vd438 ) & ( ( Vd435 ) = ( Vd438 ) ) ) ) &
% 16.32/2.98 ( ?[Vd437:$i]: ( ( rpoint @ Vd437 ) & ( ( Vd434 ) = ( Vd437 ) ) ) ) ) =>
% 16.32/2.98 ( ~( ron @ Vd434 @ Vd439 ) ) ))).
% 16.32/2.98 thf(zip_derived_cl41, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.32/2.98 (~ (ron @ X0 @ X1)
% 16.32/2.98 | ((X0) != (X2))
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ((X4) != (X3))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ~ (rS @ X0 @ X4 @ X1)
% 16.32/2.98 | ((X1) != (X5))
% 16.32/2.98 | ~ (rline @ X5))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))])).
% 16.32/2.98 thf(zip_derived_cl516, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ((X1) != (X0))
% 16.32/2.98 | ~ (rS @ X3 @ X2 @ X1)
% 16.32/2.98 | ~ (rpoint @ X4)
% 16.32/2.98 | ((X2) != (X4))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ~ (ron @ X3 @ X1))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl41])).
% 16.32/2.98 thf(zip_derived_cl517, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.32/2.98 (~ (ron @ X1 @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ((X2) != (X3))
% 16.32/2.98 | ~ (rpoint @ X3)
% 16.32/2.98 | ~ (rS @ X1 @ X2 @ X0)
% 16.32/2.98 | ~ (rline @ X0))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl516])).
% 16.32/2.98 thf(zip_derived_cl518, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ~ (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ~ (ron @ X2 @ X0))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl517])).
% 16.32/2.98 thf(zip_derived_cl8839, plain,
% 16.32/2.98 ((~ (ron @ sk__6 @ vd1234)
% 16.32/2.98 | ~ (rpoint @ sk__6)
% 16.32/2.98 | ~ (rpoint @ sk__5)
% 16.32/2.98 | ~ (rline @ vd1234))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl8837, zip_derived_cl518])).
% 16.32/2.98 thf(zip_derived_cl23, plain, ( (rpoint @ sk__6)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl25, plain, ( (rpoint @ sk__5)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl9, plain, ( (rline @ vd1234)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(294, 0)])).
% 16.32/2.98 thf(zip_derived_cl8842, plain, (~ (ron @ sk__6 @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl8839, zip_derived_cl23, zip_derived_cl25,
% 16.32/2.98 zip_derived_cl9])).
% 16.32/2.98 thf(zip_derived_cl8852, plain,
% 16.32/2.98 ((((sk__4) = (sk__5)) | ((sk__4) = (sk_)) | ((vd1197) = (vd1234)))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl8842])).
% 16.32/2.98 thf(zip_derived_cl336, plain, ( (rS @ sk_ @ sk__6 @ vd1197)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl14, zip_derived_cl15, zip_derived_cl24])).
% 16.32/2.98 thf(zip_derived_cl518, plain,
% 16.32/2.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ~ (rS @ X2 @ X1 @ X0)
% 16.32/2.98 | ~ (rpoint @ X1)
% 16.32/2.98 | ~ (rpoint @ X2)
% 16.32/2.98 | ~ (ron @ X2 @ X0))),
% 16.32/2.98 inference('eq_res', [status(thm)], [zip_derived_cl517])).
% 16.32/2.98 thf(zip_derived_cl519, plain,
% 16.32/2.98 ((~ (ron @ sk_ @ vd1197)
% 16.32/2.98 | ~ (rpoint @ sk_)
% 16.32/2.98 | ~ (rpoint @ sk__6)
% 16.32/2.98 | ~ (rline @ vd1197))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl518])).
% 16.32/2.98 thf(zip_derived_cl16, plain, ( (rpoint @ sk_)),
% 16.32/2.98 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.98 thf(zip_derived_cl23, plain, ( (rpoint @ sk__6)),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl18, plain, ( (rline @ vd1197)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(269, 0)])).
% 16.32/2.98 thf(zip_derived_cl522, plain, (~ (ron @ sk_ @ vd1197)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl519, zip_derived_cl16, zip_derived_cl23,
% 16.32/2.98 zip_derived_cl18])).
% 16.32/2.98 thf(zip_derived_cl8867, plain,
% 16.32/2.98 ((~ (ron @ sk_ @ vd1234) | ((sk__4) = (sk_)) | ((sk__4) = (sk__5)))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl8852, zip_derived_cl522])).
% 16.32/2.98 thf(zip_derived_cl327, plain, ( (ron @ sk_ @ vd1234)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl15])).
% 16.32/2.98 thf(zip_derived_cl9014, plain, ((((sk__4) = (sk_)) | ((sk__4) = (sk__5)))),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl8867, zip_derived_cl327])).
% 16.32/2.98 thf(zip_derived_cl330, plain, ( (ron @ sk__4 @ vd1232)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl28])).
% 16.32/2.98 thf(zip_derived_cl19, plain,
% 16.32/2.98 (![X0 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ~ (ron @ vd1185 @ X0)
% 16.32/2.98 | ~ (ron @ vd1186 @ X0)
% 16.32/2.98 | ~ (ron @ vd1187 @ X0))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl28, plain, (((vd1185) = (sk__4))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl26, plain, (((vd1186) = (sk__5))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl410, plain,
% 16.32/2.98 (![X0 : $i]:
% 16.32/2.98 (~ (rline @ X0)
% 16.32/2.98 | ~ (ron @ sk__4 @ X0)
% 16.32/2.98 | ~ (ron @ sk__5 @ X0)
% 16.32/2.98 | ~ (ron @ sk__6 @ X0))),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl19, zip_derived_cl28, zip_derived_cl26,
% 16.32/2.98 zip_derived_cl24])).
% 16.32/2.98 thf(zip_derived_cl412, plain,
% 16.32/2.98 ((~ (ron @ sk__6 @ vd1232)
% 16.32/2.98 | ~ (ron @ sk__5 @ vd1232)
% 16.32/2.98 | ~ (rline @ vd1232))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl410])).
% 16.32/2.98 thf('pred(s2(plural(293)), 0)', axiom, (ron @ vd1187 @ vd1232)).
% 16.32/2.98 thf(zip_derived_cl10, plain, ( (ron @ vd1187 @ vd1232)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(s2(plural(293)), 0)])).
% 16.32/2.98 thf(zip_derived_cl24, plain, (((vd1187) = (sk__6))),
% 16.32/2.98 inference('cnf', [status(esa)],
% 16.32/2.98 [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])).
% 16.32/2.98 thf(zip_derived_cl329, plain, ( (ron @ sk__6 @ vd1232)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl24])).
% 16.32/2.98 thf('pred(293, 0)', axiom, (rline @ vd1232)).
% 16.32/2.98 thf(zip_derived_cl12, plain, ( (rline @ vd1232)),
% 16.32/2.98 inference('cnf', [status(esa)], [pred(293, 0)])).
% 16.32/2.98 thf(zip_derived_cl415, plain, (~ (ron @ sk__5 @ vd1232)),
% 16.32/2.98 inference('demod', [status(thm)],
% 16.32/2.98 [zip_derived_cl412, zip_derived_cl329, zip_derived_cl12])).
% 16.32/2.98 thf(zip_derived_cl9024, plain,
% 16.32/2.98 ((~ (ron @ sk__4 @ vd1232) | ((sk__4) = (sk_)))),
% 16.32/2.98 inference('sup-', [status(thm)], [zip_derived_cl9014, zip_derived_cl415])).
% 16.32/2.98 thf(zip_derived_cl330, plain, ( (ron @ sk__4 @ vd1232)),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl28])).
% 16.32/2.98 thf(zip_derived_cl9140, plain, (((sk__4) = (sk_))),
% 16.32/2.98 inference('demod', [status(thm)], [zip_derived_cl9024, zip_derived_cl330])).
% 16.32/2.99 thf(neg(neg(296)), axiom, (~( ron @ vd1201 @ vd1232 ))).
% 16.32/2.99 thf(zip_derived_cl3, plain, (~ (ron @ vd1201 @ vd1232)),
% 16.32/2.99 inference('cnf', [status(esa)], [neg(neg(296))])).
% 16.32/2.99 thf(zip_derived_cl15, plain, (((vd1201) = (sk_))),
% 16.32/2.99 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 16.32/2.99 thf(zip_derived_cl316, plain, (~ (ron @ sk_ @ vd1232)),
% 16.32/2.99 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 16.32/2.99 thf(zip_derived_cl9159, plain, ($false),
% 16.32/2.99 inference('demod', [status(thm)],
% 16.32/2.99 [zip_derived_cl330, zip_derived_cl9140, zip_derived_cl316])).
% 16.32/2.99
% 16.32/2.99 % SZS output end Refutation
% 16.32/2.99
% 16.32/2.99
% 16.32/2.99 % Terminating...
% 16.97/3.06 % Runner terminated.
% 16.97/3.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------