%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO297+1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dqVUGha3tc true
% Computer : n019.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 : Thu Oct 2 04:34:37 PM UTC 2025
% Result : Theorem 34.30s 5.52s
% Output : Refutation 34.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO297+1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dqVUGha3tc true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:41:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.44/0.62 % Total configuration time : 435
% 0.44/0.62 % Estimated wc time : 1092
% 0.44/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 34.30/5.52 % Solved by fo/fo17_bce.sh.
% 34.30/5.52 % BCE start: 315
% 34.30/5.52 % BCE eliminated: 13
% 34.30/5.52 % PE start: 302
% 34.30/5.52 logic: eq
% 34.30/5.52 % PE eliminated: -6
% 34.30/5.52 % done 2453 iterations in 4.716s
% 34.30/5.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.30/5.52 % SZS output start Refutation
% 34.30/5.52 thf(sk__3_type, type, sk__3: $i).
% 34.30/5.52 thf(vd1201_type, type, vd1201: $i).
% 34.30/5.52 thf(vd1186_type, type, vd1186: $i).
% 34.30/5.52 thf(v0_type, type, v0: $i).
% 34.30/5.52 thf(sk__6_type, type, sk__6: $i).
% 34.30/5.52 thf(rline_type, type, rline: $i > $o).
% 34.30/5.52 thf(rR_type, type, rR: $i > $i > $i > $o).
% 34.30/5.52 thf(vd1232_type, type, vd1232: $i).
% 34.30/5.52 thf(vd1180_type, type, vd1180: $i).
% 34.30/5.52 thf(sk__type, type, sk_: $i).
% 34.30/5.52 thf(vd1178_type, type, vd1178: $i).
% 34.30/5.52 thf(vd1187_type, type, vd1187: $i).
% 34.30/5.52 thf(ron_type, type, ron: $i > $i > $o).
% 34.30/5.52 thf(vd1199_type, type, vd1199: $i).
% 34.30/5.52 thf(vd1179_type, type, vd1179: $i).
% 34.30/5.52 thf(vf_type, type, vf: $i > $i > $i).
% 34.30/5.52 thf(sk__5_type, type, sk__5: $i).
% 34.30/5.52 thf(rpoint_type, type, rpoint: $i > $o).
% 34.30/5.52 thf(sk__2_type, type, sk__2: $i).
% 34.30/5.52 thf(vangle_type, type, vangle: $i > $i > $i > $i).
% 34.30/5.52 thf(vd1185_type, type, vd1185: $i).
% 34.30/5.52 thf(neg(neg(296)), axiom, (~( ron @ vd1201 @ vd1232 ))).
% 34.30/5.52 thf(zip_derived_cl77, plain, (~ (ron @ vd1201 @ vd1232)),
% 34.30/5.52 inference('cnf', [status(esa)], [neg(neg(296))])).
% 34.30/5.52 thf('pred(293, 0)', axiom, (rline @ vd1232)).
% 34.30/5.52 thf(zip_derived_cl7, plain, ( (rline @ vd1232)),
% 34.30/5.52 inference('cnf', [status(esa)], [pred(293, 0)])).
% 34.30/5.52 thf('holds(310, 1246, 0)', axiom,
% 34.30/5.52 (( vangle @ vd1187 @ vd1185 @ vd1201 ) = ( v0 ))).
% 34.30/5.52 thf(zip_derived_cl2, plain, (((vangle @ vd1187 @ vd1185 @ vd1201) = (v0))),
% 34.30/5.52 inference('cnf', [status(esa)], [holds(310, 1246, 0)])).
% 34.30/5.52 thf('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))', axiom,
% 34.30/5.52 (![Vd862:$i,Vd863:$i,Vd864:$i,Vd865:$i,Vd866:$i,Vd867:$i,Vd868:$i,Vd869:$i]:
% 34.30/5.52 ( ( ( ron @ Vd864 @ Vd868 ) & ( ron @ Vd862 @ Vd868 ) &
% 34.30/5.52 ( ( Vd862 ) != ( Vd866 ) ) & ( ( Vd862 ) != ( Vd864 ) ) &
% 34.30/5.52 ( ( Vd868 ) = ( Vd869 ) ) & ( rline @ Vd869 ) &
% 34.30/5.52 ( ( Vd866 ) = ( Vd867 ) ) & ( rpoint @ Vd867 ) &
% 34.30/5.52 ( ( Vd864 ) = ( Vd865 ) ) & ( rpoint @ Vd865 ) &
% 34.30/5.52 ( ( Vd862 ) = ( Vd863 ) ) & ( rpoint @ Vd863 ) ) =>
% 34.30/5.52 ( ( ( ~( rR @ Vd862 @ Vd864 @ Vd866 ) ) & ( ron @ Vd866 @ Vd868 ) ) <=>
% 34.30/5.52 ( ( vangle @ Vd864 @ Vd862 @ Vd866 ) = ( v0 ) ) ) ))).
% 34.30/5.52 thf(zip_derived_cl11, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 34.30/5.52 (((vangle @ X0 @ X1 @ X2) != (v0))
% 34.30/5.52 | (ron @ X2 @ X3)
% 34.30/5.52 | ~ (rpoint @ X4)
% 34.30/5.52 | ((X1) != (X4))
% 34.30/5.52 | ~ (rpoint @ X5)
% 34.30/5.52 | ((X0) != (X5))
% 34.30/5.52 | ~ (rpoint @ X6)
% 34.30/5.52 | ((X2) != (X6))
% 34.30/5.52 | ((X1) = (X0))
% 34.30/5.52 | ((X1) = (X2))
% 34.30/5.52 | ~ (ron @ X1 @ X3)
% 34.30/5.52 | ~ (ron @ X0 @ X3)
% 34.30/5.52 | ((X3) != (X7))
% 34.30/5.52 | ~ (rline @ X7))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))])).
% 34.30/5.52 thf(zip_derived_cl3328, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.30/5.52 (~ (rline @ X0)
% 34.30/5.52 | ((X1) != (X0))
% 34.30/5.52 | ~ (ron @ X2 @ X1)
% 34.30/5.52 | ~ (ron @ X3 @ X1)
% 34.30/5.52 | ((X3) = (X4))
% 34.30/5.52 | ((X3) = (X2))
% 34.30/5.52 | ((X4) != (X5))
% 34.30/5.52 | ~ (rpoint @ X5)
% 34.30/5.52 | ((X2) != (X6))
% 34.30/5.52 | ~ (rpoint @ X6)
% 34.30/5.52 | ~ (rpoint @ X3)
% 34.30/5.52 | (ron @ X4 @ X1)
% 34.30/5.52 | ((vangle @ X2 @ X3 @ X4) != (v0)))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl11])).
% 34.30/5.52 thf(zip_derived_cl6296, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.30/5.52 (((vangle @ X2 @ X1 @ X0) != (v0))
% 34.30/5.52 | (ron @ X0 @ X3)
% 34.30/5.52 | ~ (rpoint @ X1)
% 34.30/5.52 | ~ (rpoint @ X4)
% 34.30/5.52 | ((X2) != (X4))
% 34.30/5.52 | ~ (rpoint @ X5)
% 34.30/5.52 | ((X0) != (X5))
% 34.30/5.52 | ((X1) = (X2))
% 34.30/5.52 | ((X1) = (X0))
% 34.30/5.52 | ~ (ron @ X1 @ X3)
% 34.30/5.52 | ~ (ron @ X2 @ X3)
% 34.30/5.52 | ~ (rline @ X3))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl3328])).
% 34.30/5.52 thf(zip_derived_cl6309, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.30/5.52 (~ (rline @ X0)
% 34.30/5.52 | ~ (ron @ X1 @ X0)
% 34.30/5.52 | ~ (ron @ X2 @ X0)
% 34.30/5.52 | ((X2) = (X3))
% 34.30/5.52 | ((X2) = (X1))
% 34.30/5.52 | ((X3) != (X4))
% 34.30/5.52 | ~ (rpoint @ X4)
% 34.30/5.52 | ~ (rpoint @ X1)
% 34.30/5.52 | ~ (rpoint @ X2)
% 34.30/5.52 | (ron @ X3 @ X0)
% 34.30/5.52 | ((vangle @ X1 @ X2 @ X3) != (v0)))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl6296])).
% 34.30/5.52 thf(zip_derived_cl6316, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.30/5.52 (((vangle @ X2 @ X1 @ X0) != (v0))
% 34.30/5.52 | (ron @ X0 @ X3)
% 34.30/5.52 | ~ (rpoint @ X1)
% 34.30/5.52 | ~ (rpoint @ X2)
% 34.30/5.52 | ~ (rpoint @ X0)
% 34.30/5.52 | ((X1) = (X2))
% 34.30/5.52 | ((X1) = (X0))
% 34.30/5.52 | ~ (ron @ X1 @ X3)
% 34.30/5.52 | ~ (ron @ X2 @ X3)
% 34.30/5.52 | ~ (rline @ X3))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl6309])).
% 34.30/5.52 thf(zip_derived_cl12485, plain,
% 34.30/5.52 (![X0 : $i]:
% 34.30/5.52 (((v0) != (v0))
% 34.30/5.52 | (ron @ vd1201 @ X0)
% 34.30/5.52 | ~ (rpoint @ vd1185)
% 34.30/5.52 | ~ (rpoint @ vd1187)
% 34.30/5.52 | ~ (rpoint @ vd1201)
% 34.30/5.52 | ((vd1185) = (vd1187))
% 34.30/5.52 | ((vd1185) = (vd1201))
% 34.30/5.52 | ~ (ron @ vd1185 @ X0)
% 34.30/5.52 | ~ (ron @ vd1187 @ X0)
% 34.30/5.52 | ~ (rline @ X0))),
% 34.30/5.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6316])).
% 34.30/5.52 thf('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))', axiom,
% 34.30/5.52 (( ?[Vd1182:$i]: ( ( rpoint @ Vd1182 ) & ( ( vd1178 ) = ( Vd1182 ) ) ) ) &
% 34.30/5.52 ( ?[Vd1183:$i]: ( ( rpoint @ Vd1183 ) & ( ( vd1179 ) = ( Vd1183 ) ) ) ) &
% 34.30/5.52 ( ?[Vd1184:$i]: ( ( rpoint @ Vd1184 ) & ( ( vd1180 ) = ( Vd1184 ) ) ) ) &
% 34.30/5.52 ( ( vd1178 ) != ( vd1179 ) ) & ( ( vd1178 ) != ( vd1180 ) ) &
% 34.30/5.52 ( ( vd1179 ) != ( vd1180 ) ) &
% 34.30/5.52 ( ?[Vd1189:$i]: ( ( rpoint @ Vd1189 ) & ( ( vd1185 ) = ( Vd1189 ) ) ) ) &
% 34.30/5.52 ( ?[Vd1190:$i]: ( ( rpoint @ Vd1190 ) & ( ( vd1186 ) = ( Vd1190 ) ) ) ) &
% 34.30/5.52 ( ?[Vd1191:$i]: ( ( rpoint @ Vd1191 ) & ( ( vd1187 ) = ( Vd1191 ) ) ) ) &
% 34.30/5.52 ( ( vf @ vd1178 @ vd1179 ) = ( vf @ vd1185 @ vd1186 ) ) &
% 34.30/5.52 ( ( vf @ vd1178 @ vd1180 ) = ( vf @ vd1185 @ vd1187 ) ) &
% 34.30/5.52 ( ( vangle @ vd1179 @ vd1178 @ vd1180 ) =
% 34.30/5.52 ( vangle @ vd1186 @ vd1185 @ vd1187 ) ) &
% 34.30/5.52 ( ~( ?[Vd1195:$i]:
% 34.30/5.52 ( ( rline @ Vd1195 ) & ( ron @ vd1185 @ Vd1195 ) &
% 34.30/5.52 ( ron @ vd1186 @ Vd1195 ) & ( ron @ vd1187 @ Vd1195 ) ) ) ))).
% 34.30/5.52 thf(zip_derived_cl28, plain, ( (rpoint @ sk__3)),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl29, plain, (((vd1185) = (sk__3))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl3322, plain, ( (rpoint @ vd1185)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl29])).
% 34.30/5.52 thf(zip_derived_cl24, plain, ( (rpoint @ sk__5)),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl25, plain, (((vd1187) = (sk__5))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl3316, plain, ( (rpoint @ vd1187)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 34.30/5.52 thf(qe(s3(plural(271))), axiom,
% 34.30/5.52 (?[Vd1205:$i]: ( ( rpoint @ Vd1205 ) & ( ( vd1201 ) = ( Vd1205 ) ) ))).
% 34.30/5.52 thf(zip_derived_cl50, plain, ( (rpoint @ sk__6)),
% 34.30/5.52 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 34.30/5.52 thf(zip_derived_cl49, plain, (((vd1201) = (sk__6))),
% 34.30/5.52 inference('cnf', [status(esa)], [qe(s3(plural(271)))])).
% 34.30/5.52 thf(zip_derived_cl3330, plain, ( (rpoint @ vd1201)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl49])).
% 34.30/5.52 thf(zip_derived_cl12496, plain,
% 34.30/5.52 (![X0 : $i]:
% 34.30/5.52 (((v0) != (v0))
% 34.30/5.52 | (ron @ vd1201 @ X0)
% 34.30/5.52 | ((vd1185) = (vd1187))
% 34.30/5.52 | ((vd1185) = (vd1201))
% 34.30/5.52 | ~ (ron @ vd1185 @ X0)
% 34.30/5.52 | ~ (ron @ vd1187 @ X0)
% 34.30/5.52 | ~ (rline @ X0))),
% 34.30/5.52 inference('demod', [status(thm)],
% 34.30/5.52 [zip_derived_cl12485, zip_derived_cl3322, zip_derived_cl3316,
% 34.30/5.52 zip_derived_cl3330])).
% 34.30/5.52 thf(zip_derived_cl12497, plain,
% 34.30/5.52 (![X0 : $i]:
% 34.30/5.52 (~ (rline @ X0)
% 34.30/5.52 | ~ (ron @ vd1187 @ X0)
% 34.30/5.52 | ~ (ron @ vd1185 @ X0)
% 34.30/5.52 | ((vd1185) = (vd1201))
% 34.30/5.52 | ((vd1185) = (vd1187))
% 34.30/5.52 | (ron @ vd1201 @ X0))),
% 34.30/5.52 inference('simplify', [status(thm)], [zip_derived_cl12496])).
% 34.30/5.52 thf('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))', axiom,
% 34.30/5.52 (![Vd748:$i,Vd749:$i]:
% 34.30/5.52 ( ( ( ?[Vd752:$i]: ( ( rpoint @ Vd752 ) & ( ( Vd749 ) = ( Vd752 ) ) ) ) &
% 34.30/5.52 ( ?[Vd751:$i]: ( ( rpoint @ Vd751 ) & ( ( Vd748 ) = ( Vd751 ) ) ) ) ) =>
% 34.30/5.52 ( ( ( vf @ Vd748 @ Vd749 ) = ( v0 ) ) <=> ( ( Vd748 ) = ( Vd749 ) ) ) ))).
% 34.30/5.52 thf(zip_derived_cl79, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.30/5.52 (((X1) != (X0))
% 34.30/5.52 | ~ (rpoint @ X0)
% 34.30/5.52 | ~ (rpoint @ X2)
% 34.30/5.52 | ((X3) != (X2))
% 34.30/5.52 | ((vf @ X1 @ X3) = (v0))
% 34.30/5.52 | ((X1) != (X3)))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))])).
% 34.30/5.52 thf(zip_derived_cl3500, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.30/5.52 (((X0) != (X1))
% 34.30/5.52 | ((vf @ X0 @ X1) = (v0))
% 34.30/5.52 | ((X1) != (X2))
% 34.30/5.52 | ~ (rpoint @ X2)
% 34.30/5.52 | ~ (rpoint @ X0))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl79])).
% 34.30/5.52 thf(zip_derived_cl3504, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i]:
% 34.30/5.52 (~ (rpoint @ X0)
% 34.30/5.52 | ~ (rpoint @ X1)
% 34.30/5.52 | ((vf @ X0 @ X1) = (v0))
% 34.30/5.52 | ((X0) != (X1)))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl3500])).
% 34.30/5.52 thf(zip_derived_cl22, plain,
% 34.30/5.52 (((vf @ vd1178 @ vd1180) = (vf @ vd1185 @ vd1187))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl78, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.30/5.52 (((X1) != (X0))
% 34.30/5.52 | ~ (rpoint @ X0)
% 34.30/5.52 | ~ (rpoint @ X2)
% 34.30/5.52 | ((X3) != (X2))
% 34.30/5.52 | ((X1) = (X3))
% 34.30/5.52 | ((vf @ X1 @ X3) != (v0)))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))])).
% 34.30/5.52 thf(zip_derived_cl3483, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.30/5.52 (((vf @ X1 @ X0) != (v0))
% 34.30/5.52 | ((X1) = (X0))
% 34.30/5.52 | ((X0) != (X2))
% 34.30/5.52 | ~ (rpoint @ X2)
% 34.30/5.52 | ~ (rpoint @ X1))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl78])).
% 34.30/5.52 thf(zip_derived_cl3487, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i]:
% 34.30/5.52 (~ (rpoint @ X0)
% 34.30/5.52 | ~ (rpoint @ X1)
% 34.30/5.52 | ((X0) = (X1))
% 34.30/5.52 | ((vf @ X0 @ X1) != (v0)))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl3483])).
% 34.30/5.52 thf(zip_derived_cl3491, plain,
% 34.30/5.52 ((~ (rpoint @ vd1178)
% 34.30/5.52 | ~ (rpoint @ vd1180)
% 34.30/5.52 | ((vd1178) = (vd1180))
% 34.30/5.52 | ((vf @ vd1185 @ vd1187) != (v0)))),
% 34.30/5.52 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl3487])).
% 34.30/5.52 thf(zip_derived_cl37, plain, ( (rpoint @ sk_)),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl38, plain, (((vd1178) = (sk_))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl3329, plain, ( (rpoint @ vd1178)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl38])).
% 34.30/5.52 thf(zip_derived_cl33, plain, ( (rpoint @ sk__2)),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl34, plain, (((vd1180) = (sk__2))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl3323, plain, ( (rpoint @ vd1180)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl34])).
% 34.30/5.52 thf(zip_derived_cl3497, plain,
% 34.30/5.52 ((((vd1178) = (vd1180)) | ((vf @ vd1185 @ vd1187) != (v0)))),
% 34.30/5.52 inference('demod', [status(thm)],
% 34.30/5.52 [zip_derived_cl3491, zip_derived_cl3329, zip_derived_cl3323])).
% 34.30/5.52 thf(zip_derived_cl31, plain, (((vd1178) != (vd1180))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf(zip_derived_cl3498, plain, (((vf @ vd1185 @ vd1187) != (v0))),
% 34.30/5.52 inference('simplify_reflect-', [status(thm)],
% 34.30/5.52 [zip_derived_cl3497, zip_derived_cl31])).
% 34.30/5.52 thf(zip_derived_cl3506, plain,
% 34.30/5.52 ((((vd1185) != (vd1187))
% 34.30/5.52 | ~ (rpoint @ vd1187)
% 34.30/5.52 | ~ (rpoint @ vd1185)
% 34.30/5.52 | ((v0) != (v0)))),
% 34.30/5.52 inference('s_sup-', [status(thm)],
% 34.30/5.52 [zip_derived_cl3504, zip_derived_cl3498])).
% 34.30/5.52 thf(zip_derived_cl3316, plain, ( (rpoint @ vd1187)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 34.30/5.52 thf(zip_derived_cl3322, plain, ( (rpoint @ vd1185)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl29])).
% 34.30/5.52 thf(zip_derived_cl3514, plain, ((((vd1185) != (vd1187)) | ((v0) != (v0)))),
% 34.30/5.52 inference('demod', [status(thm)],
% 34.30/5.52 [zip_derived_cl3506, zip_derived_cl3316, zip_derived_cl3322])).
% 34.30/5.52 thf(zip_derived_cl3515, plain, (((vd1185) != (vd1187))),
% 34.30/5.52 inference('simplify', [status(thm)], [zip_derived_cl3514])).
% 34.30/5.52 thf(zip_derived_cl3504, plain,
% 34.30/5.52 (![X0 : $i, X1 : $i]:
% 34.30/5.52 (~ (rpoint @ X0)
% 34.30/5.52 | ~ (rpoint @ X1)
% 34.30/5.52 | ((vf @ X0 @ X1) = (v0))
% 34.30/5.52 | ((X0) != (X1)))),
% 34.30/5.52 inference('eq_res', [status(thm)], [zip_derived_cl3500])).
% 34.30/5.52 thf('holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)', axiom,
% 34.30/5.52 (( vf @ vd1178 @ vd1180 ) = ( vf @ vd1199 @ vd1201 ))).
% 34.30/5.52 thf(zip_derived_cl44, plain,
% 34.30/5.52 (((vf @ vd1178 @ vd1180) = (vf @ vd1199 @ vd1201))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)])).
% 34.30/5.52 thf(zip_derived_cl22, plain,
% 34.30/5.52 (((vf @ vd1178 @ vd1180) = (vf @ vd1185 @ vd1187))),
% 34.30/5.52 inference('cnf', [status(esa)],
% 34.30/5.52 [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)))))))))))))))])).
% 34.30/5.52 thf('holds(291, 1230, 0)', axiom, (( vd1199 ) = ( vd1185 ))).
% 34.30/5.52 thf(zip_derived_cl9, plain, (((vd1199) = (vd1185))),
% 34.30/5.52 inference('cnf', [status(esa)], [holds(291, 1230, 0)])).
% 34.30/5.52 thf(zip_derived_cl3402, plain,
% 34.30/5.52 (((vf @ vd1185 @ vd1187) = (vf @ vd1185 @ vd1201))),
% 34.30/5.52 inference('demod', [status(thm)],
% 34.30/5.52 [zip_derived_cl44, zip_derived_cl22, zip_derived_cl9])).
% 34.30/5.52 thf(zip_derived_cl3507, plain,
% 34.30/5.52 ((((vd1185) != (vd1201))
% 34.30/5.52 | ~ (rpoint @ vd1201)
% 34.30/5.52 | ~ (rpoint @ vd1185)
% 34.30/5.52 | ((vf @ vd1185 @ vd1187) = (v0)))),
% 34.30/5.52 inference('s_sup+', [status(thm)],
% 34.30/5.52 [zip_derived_cl3504, zip_derived_cl3402])).
% 34.30/5.52 thf(zip_derived_cl3330, plain, ( (rpoint @ vd1201)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl49])).
% 34.30/5.52 thf(zip_derived_cl3322, plain, ( (rpoint @ vd1185)),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl29])).
% 34.30/5.52 thf(zip_derived_cl3516, plain,
% 34.30/5.52 ((((vd1185) != (vd1201)) | ((vf @ vd1185 @ vd1187) = (v0)))),
% 34.30/5.52 inference('demod', [status(thm)],
% 34.30/5.52 [zip_derived_cl3507, zip_derived_cl3330, zip_derived_cl3322])).
% 34.30/5.52 thf(zip_derived_cl3498, plain, (((vf @ vd1185 @ vd1187) != (v0))),
% 34.30/5.52 inference('simplify_reflect-', [status(thm)],
% 34.30/5.52 [zip_derived_cl3497, zip_derived_cl31])).
% 34.30/5.52 thf(zip_derived_cl3517, plain, (((vd1185) != (vd1201))),
% 34.30/5.52 inference('simplify_reflect-', [status(thm)],
% 34.30/5.52 [zip_derived_cl3516, zip_derived_cl3498])).
% 34.30/5.52 thf(zip_derived_cl12498, plain,
% 34.30/5.52 (![X0 : $i]:
% 34.30/5.52 (~ (rline @ X0)
% 34.30/5.52 | ~ (ron @ vd1187 @ X0)
% 34.30/5.52 | ~ (ron @ vd1185 @ X0)
% 34.30/5.52 | (ron @ vd1201 @ X0))),
% 34.30/5.52 inference('simplify_reflect-', [status(thm)],
% 34.30/5.52 [zip_derived_cl12497, zip_derived_cl3515, zip_derived_cl3517])).
% 34.30/5.52 thf(zip_derived_cl12546, plain,
% 34.30/5.52 ((~ (ron @ vd1187 @ vd1232)
% 34.30/5.52 | ~ (ron @ vd1185 @ vd1232)
% 34.30/5.52 | (ron @ vd1201 @ vd1232))),
% 34.30/5.52 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl12498])).
% 34.30/5.52 thf('pred(311, 0)', axiom, (ron @ vd1187 @ vd1232)).
% 34.30/5.52 thf(zip_derived_cl1, plain, ( (ron @ vd1187 @ vd1232)),
% 34.30/5.52 inference('cnf', [status(esa)], [pred(311, 0)])).
% 34.30/5.52 thf('pred(s1(plural(293)), 0)', axiom, (ron @ vd1185 @ vd1232)).
% 34.30/5.52 thf(zip_derived_cl6, plain, ( (ron @ vd1185 @ vd1232)),
% 34.30/5.52 inference('cnf', [status(esa)], [pred(s1(plural(293)), 0)])).
% 34.30/5.52 thf(zip_derived_cl12550, plain, ( (ron @ vd1201 @ vd1232)),
% 34.30/5.52 inference('demod', [status(thm)],
% 34.30/5.52 [zip_derived_cl12546, zip_derived_cl1, zip_derived_cl6])).
% 34.30/5.52 thf(zip_derived_cl12556, plain, ($false),
% 34.30/5.52 inference('demod', [status(thm)], [zip_derived_cl77, zip_derived_cl12550])).
% 34.30/5.52
% 34.30/5.52 % SZS output end Refutation
% 34.30/5.52
% 34.30/5.52
% 34.30/5.52 % Terminating...
% 35.15/5.65 % Runner terminated.
% 35.16/5.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------