TSTP Solution File: GEO270+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO270+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.shvlpYStCA true
% Computer : n009.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 23:58:12 EDT 2023
% Result : Theorem 8.35s 1.80s
% Output : Refutation 8.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO270+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.shvlpYStCA true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:06:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.53/0.71 % /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
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.35/1.80 % Solved by fo/fo3_bce.sh.
% 8.35/1.80 % BCE start: 223
% 8.35/1.80 % BCE eliminated: 0
% 8.35/1.80 % PE start: 223
% 8.35/1.80 logic: eq
% 8.35/1.80 % PE eliminated: -6
% 8.35/1.80 % done 560 iterations in 1.064s
% 8.35/1.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.35/1.80 % SZS output start Refutation
% 8.35/1.80 thf(vskolem1061_type, type, vskolem1061: $i > $i > $i > $i > $i).
% 8.35/1.80 thf(vskolem1063_type, type, vskolem1063: $i > $i > $i > $i > $i > $i).
% 8.35/1.80 thf(vd1048_type, type, vd1048: $i).
% 8.35/1.80 thf(vd1047_type, type, vd1047: $i).
% 8.35/1.80 thf(vd1049_type, type, vd1049: $i).
% 8.35/1.80 thf(vf_type, type, vf: $i > $i > $i).
% 8.35/1.80 thf(vskolem1064_type, type, vskolem1064: $i > $i > $i > $i > $i > $i > $i).
% 8.35/1.80 thf(rpoint_type, type, rpoint: $i > $o).
% 8.35/1.80 thf(vd1050_type, type, vd1050: $i).
% 8.35/1.80 thf('and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))', axiom,
% 8.35/1.80 (( rpoint @ vd1048 ) & ( ( vd1047 ) = ( vd1048 ) ) & ( rpoint @ vd1050 ) &
% 8.35/1.80 ( ( vd1047 ) != ( vd1049 ) ) & ( ( vd1049 ) = ( vd1050 ) ))).
% 8.35/1.80 thf(zip_derived_cl2, plain, ( (rpoint @ vd1050)),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl4, plain, (((vd1049) = (vd1050))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl2751, plain, ( (rpoint @ vd1049)),
% 8.35/1.80 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 8.35/1.80 thf(zip_derived_cl0, plain, ( (rpoint @ vd1048)),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl1, plain, (((vd1047) = (vd1048))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl2750, plain, ( (rpoint @ vd1047)),
% 8.35/1.80 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 8.35/1.80 thf('ass(cond(proof(209), 0), 6)', axiom,
% 8.35/1.80 (![Vd1055:$i,Vd1056:$i,Vd1057:$i,Vd1058:$i]:
% 8.35/1.80 ( ( ( ( Vd1057 ) = ( Vd1058 ) ) & ( ( Vd1055 ) != ( Vd1057 ) ) &
% 8.35/1.80 ( rpoint @ Vd1058 ) & ( ( Vd1055 ) = ( Vd1056 ) ) &
% 8.35/1.80 ( rpoint @ Vd1056 ) ) =>
% 8.35/1.80 ( ![Vd1060:$i]:
% 8.35/1.80 ( ( ( Vd1060 ) = ( vskolem1061 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) =>
% 8.35/1.80 ( ![Vd1062:$i]:
% 8.35/1.80 ( ( ( Vd1062 ) =
% 8.35/1.80 ( vskolem1063 @ Vd1060 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) =>
% 8.35/1.80 ( rpoint @
% 8.35/1.80 ( vskolem1064 @
% 8.35/1.80 Vd1062 @ Vd1060 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) ) ) ) ) ))).
% 8.35/1.80 thf(zip_derived_cl11, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.35/1.80 (~ (rpoint @ X0)
% 8.35/1.80 | ((X1) != (X0))
% 8.35/1.80 | ((X1) = (X2))
% 8.35/1.80 | ((X2) != (X3))
% 8.35/1.80 | ~ (rpoint @ X3)
% 8.35/1.80 | ((X5) != (vskolem1063 @ X4 @ X1 @ X0 @ X2 @ X3))
% 8.35/1.80 | (rpoint @ (vskolem1064 @ X5 @ X4 @ X1 @ X0 @ X2 @ X3))
% 8.35/1.80 | ((X4) != (vskolem1061 @ X1 @ X0 @ X2 @ X3)))),
% 8.35/1.80 inference('cnf', [status(esa)], [ass(cond(proof(209), 0), 6)])).
% 8.35/1.80 thf('ass(cond(proof(209), 0), 3)', axiom,
% 8.35/1.80 (![Vd1055:$i,Vd1056:$i,Vd1057:$i,Vd1058:$i]:
% 8.35/1.80 ( ( ( ( Vd1057 ) = ( Vd1058 ) ) & ( ( Vd1055 ) != ( Vd1057 ) ) &
% 8.35/1.80 ( rpoint @ Vd1058 ) & ( ( Vd1055 ) = ( Vd1056 ) ) &
% 8.35/1.80 ( rpoint @ Vd1056 ) ) =>
% 8.35/1.80 ( ![Vd1060:$i]:
% 8.35/1.80 ( ( ( Vd1060 ) = ( vskolem1061 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) =>
% 8.35/1.80 ( ![Vd1062:$i]:
% 8.35/1.80 ( ( ( Vd1062 ) =
% 8.35/1.80 ( vskolem1063 @ Vd1060 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) =>
% 8.35/1.80 ( ( vf @ Vd1055 @ Vd1057 ) =
% 8.35/1.80 ( vf @
% 8.35/1.80 Vd1055 @
% 8.35/1.80 ( vskolem1064 @
% 8.35/1.80 Vd1062 @ Vd1060 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) ) ) ) ) ) ))).
% 8.35/1.80 thf(zip_derived_cl8, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.35/1.80 (~ (rpoint @ X0)
% 8.35/1.80 | ((X1) != (X0))
% 8.35/1.80 | ((X1) = (X2))
% 8.35/1.80 | ((X2) != (X3))
% 8.35/1.80 | ~ (rpoint @ X3)
% 8.35/1.80 | ((X5) != (vskolem1063 @ X4 @ X1 @ X0 @ X2 @ X3))
% 8.35/1.80 | ((vf @ X1 @ X2)
% 8.35/1.80 = (vf @ X1 @ (vskolem1064 @ X5 @ X4 @ X1 @ X0 @ X2 @ X3)))
% 8.35/1.80 | ((X4) != (vskolem1061 @ X1 @ X0 @ X2 @ X3)))),
% 8.35/1.80 inference('cnf', [status(esa)], [ass(cond(proof(209), 0), 3)])).
% 8.35/1.80 thf(zip_derived_cl8, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.35/1.80 (~ (rpoint @ X0)
% 8.35/1.80 | ((X1) != (X0))
% 8.35/1.80 | ((X1) = (X2))
% 8.35/1.80 | ((X2) != (X3))
% 8.35/1.80 | ~ (rpoint @ X3)
% 8.35/1.80 | ((X5) != (vskolem1063 @ X4 @ X1 @ X0 @ X2 @ X3))
% 8.35/1.80 | ((vf @ X1 @ X2)
% 8.35/1.80 = (vf @ X1 @ (vskolem1064 @ X5 @ X4 @ X1 @ X0 @ X2 @ X3)))
% 8.35/1.80 | ((X4) != (vskolem1061 @ X1 @ X0 @ X2 @ X3)))),
% 8.35/1.80 inference('cnf', [status(esa)], [ass(cond(proof(209), 0), 3)])).
% 8.35/1.80 thf('ass(cond(proof(209), 0), 1)', axiom,
% 8.35/1.80 (![Vd1055:$i,Vd1056:$i,Vd1057:$i,Vd1058:$i]:
% 8.35/1.80 ( ( ( ( Vd1057 ) = ( Vd1058 ) ) & ( ( Vd1055 ) != ( Vd1057 ) ) &
% 8.35/1.80 ( rpoint @ Vd1058 ) & ( ( Vd1055 ) = ( Vd1056 ) ) &
% 8.35/1.80 ( rpoint @ Vd1056 ) ) =>
% 8.35/1.80 ( ![Vd1060:$i]:
% 8.35/1.80 ( ( ( Vd1060 ) = ( vskolem1061 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) =>
% 8.35/1.80 ( ![Vd1062:$i]:
% 8.35/1.80 ( ( ( Vd1062 ) =
% 8.35/1.80 ( vskolem1063 @ Vd1060 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) =>
% 8.35/1.80 ( ( vf @ Vd1055 @ Vd1057 ) =
% 8.35/1.80 ( vf @
% 8.35/1.80 Vd1057 @
% 8.35/1.80 ( vskolem1064 @
% 8.35/1.80 Vd1062 @ Vd1060 @ Vd1055 @ Vd1056 @ Vd1057 @ Vd1058 ) ) ) ) ) ) ) ))).
% 8.35/1.80 thf(zip_derived_cl6, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.35/1.80 (~ (rpoint @ X0)
% 8.35/1.80 | ((X1) != (X0))
% 8.35/1.80 | ((X1) = (X2))
% 8.35/1.80 | ((X2) != (X3))
% 8.35/1.80 | ~ (rpoint @ X3)
% 8.35/1.80 | ((X5) != (vskolem1063 @ X4 @ X1 @ X0 @ X2 @ X3))
% 8.35/1.80 | ((vf @ X1 @ X2)
% 8.35/1.80 = (vf @ X2 @ (vskolem1064 @ X5 @ X4 @ X1 @ X0 @ X2 @ X3)))
% 8.35/1.80 | ((X4) != (vskolem1061 @ X1 @ X0 @ X2 @ X3)))),
% 8.35/1.80 inference('cnf', [status(esa)], [ass(cond(proof(209), 0), 1)])).
% 8.35/1.80 thf('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))', axiom,
% 8.35/1.80 (![Vd761:$i,Vd762:$i]:
% 8.35/1.80 ( ( ( ?[Vd765:$i]: ( ( rpoint @ Vd765 ) & ( ( Vd762 ) = ( Vd765 ) ) ) ) &
% 8.35/1.80 ( ?[Vd764:$i]: ( ( rpoint @ Vd764 ) & ( ( Vd761 ) = ( Vd764 ) ) ) ) ) =>
% 8.35/1.80 ( ( vf @ Vd761 @ Vd762 ) = ( vf @ Vd762 @ Vd761 ) ) ))).
% 8.35/1.80 thf(zip_derived_cl23, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((X1) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ~ (rpoint @ X2)
% 8.35/1.80 | ((X3) != (X2))
% 8.35/1.80 | ((vf @ X1 @ X3) = (vf @ X3 @ X1)))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))])).
% 8.35/1.80 thf(zip_derived_cl2778, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.80 (((vf @ X1 @ X0) = (vf @ X0 @ X1))
% 8.35/1.80 | ((X0) != (X2))
% 8.35/1.80 | ~ (rpoint @ X2)
% 8.35/1.80 | ~ (rpoint @ X1))),
% 8.35/1.80 inference('eq_res', [status(thm)], [zip_derived_cl23])).
% 8.35/1.80 thf(zip_derived_cl2786, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i]:
% 8.35/1.80 (~ (rpoint @ X0) | ~ (rpoint @ X1) | ((vf @ X0 @ X1) = (vf @ X1 @ X0)))),
% 8.35/1.80 inference('eq_res', [status(thm)], [zip_derived_cl2778])).
% 8.35/1.80 thf(zip_derived_cl2786, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i]:
% 8.35/1.80 (~ (rpoint @ X0) | ~ (rpoint @ X1) | ((vf @ X0 @ X1) = (vf @ X1 @ X0)))),
% 8.35/1.80 inference('eq_res', [status(thm)], [zip_derived_cl2778])).
% 8.35/1.80 thf(zip_derived_cl2786, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i]:
% 8.35/1.80 (~ (rpoint @ X0) | ~ (rpoint @ X1) | ((vf @ X0 @ X1) = (vf @ X1 @ X0)))),
% 8.35/1.80 inference('eq_res', [status(thm)], [zip_derived_cl2778])).
% 8.35/1.80 thf(qe(208), conjecture,
% 8.35/1.80 (?[Vd1052:$i]:
% 8.35/1.80 ( ( rpoint @ Vd1052 ) &
% 8.35/1.80 ( ( vf @ vd1047 @ vd1049 ) = ( vf @ vd1049 @ Vd1052 ) ) &
% 8.35/1.80 ( ( vf @ vd1049 @ Vd1052 ) = ( vf @ Vd1052 @ vd1047 ) ) ))).
% 8.35/1.80 thf(zf_stmt_0, negated_conjecture,
% 8.35/1.80 (~( ?[Vd1052:$i]:
% 8.35/1.80 ( ( rpoint @ Vd1052 ) &
% 8.35/1.80 ( ( vf @ vd1047 @ vd1049 ) = ( vf @ vd1049 @ Vd1052 ) ) &
% 8.35/1.80 ( ( vf @ vd1049 @ Vd1052 ) = ( vf @ Vd1052 @ vd1047 ) ) ) )),
% 8.35/1.80 inference('cnf.neg', [status(esa)], [qe(208)])).
% 8.35/1.80 thf(zip_derived_cl222, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ X0))
% 8.35/1.80 | ((vf @ vd1049 @ X0) != (vf @ X0 @ vd1047)))),
% 8.35/1.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.35/1.80 thf(zip_derived_cl2787, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ X0 @ vd1049))
% 8.35/1.80 | ~ (rpoint @ vd1049)
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1049 @ X0) != (vf @ X0 @ vd1047))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl2786, zip_derived_cl222])).
% 8.35/1.80 thf(zip_derived_cl2751, plain, ( (rpoint @ vd1049)),
% 8.35/1.80 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 8.35/1.80 thf(zip_derived_cl2793, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ X0 @ vd1049))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1049 @ X0) != (vf @ X0 @ vd1047))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('demod', [status(thm)],
% 8.35/1.80 [zip_derived_cl2787, zip_derived_cl2751])).
% 8.35/1.80 thf(zip_derived_cl2794, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1049 @ X0) != (vf @ X0 @ vd1047))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ X0 @ vd1049)))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl2793])).
% 8.35/1.80 thf(zip_derived_cl2817, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1049 @ X0) != (vf @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ vd1047)
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ X0 @ vd1049))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl2786, zip_derived_cl2794])).
% 8.35/1.80 thf(zip_derived_cl2750, plain, ( (rpoint @ vd1047)),
% 8.35/1.80 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 8.35/1.80 thf(zip_derived_cl2824, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1049 @ X0) != (vf @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ X0 @ vd1049))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('demod', [status(thm)],
% 8.35/1.80 [zip_derived_cl2817, zip_derived_cl2750])).
% 8.35/1.80 thf(zip_derived_cl2825, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ X0 @ vd1049))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1049 @ X0) != (vf @ vd1047 @ X0)))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl2824])).
% 8.35/1.80 thf(zip_derived_cl2860, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ X0))
% 8.35/1.80 | ~ (rpoint @ vd1049)
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1049 @ X0) != (vf @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl2786, zip_derived_cl2825])).
% 8.35/1.80 thf(zip_derived_cl2751, plain, ( (rpoint @ vd1049)),
% 8.35/1.80 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 8.35/1.80 thf(zip_derived_cl2867, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1049 @ X0) != (vf @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('demod', [status(thm)],
% 8.35/1.80 [zip_derived_cl2860, zip_derived_cl2751])).
% 8.35/1.80 thf(zip_derived_cl2868, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (((vf @ vd1049 @ X0) != (vf @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ X0)))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl2867])).
% 8.35/1.80 thf(zip_derived_cl2889, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.35/1.80 (((vf @ vd1049 @ (vskolem1064 @ X4 @ X3 @ X0 @ X2 @ vd1047 @ X1))
% 8.35/1.80 != (vf @ X0 @ vd1047))
% 8.35/1.80 | ((X3) != (vskolem1061 @ X0 @ X2 @ vd1047 @ X1))
% 8.35/1.80 | ((X4) != (vskolem1063 @ X3 @ X0 @ X2 @ vd1047 @ X1))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1047) != (X1))
% 8.35/1.80 | ((X0) = (vd1047))
% 8.35/1.80 | ((X0) != (X2))
% 8.35/1.80 | ~ (rpoint @ X2)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049)
% 8.35/1.80 != (vf @ vd1049 @ (vskolem1064 @ X4 @ X3 @ X0 @ X2 @ vd1047 @ X1)))
% 8.35/1.80 | ~ (rpoint @ (vskolem1064 @ X4 @ X3 @ X0 @ X2 @ vd1047 @ X1)))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2868])).
% 8.35/1.80 thf(zip_derived_cl3858, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((vf @ vd1049 @ vd1047) != (vf @ vd1049 @ vd1047))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ~ (rpoint @ (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((vf @ vd1047 @ vd1049)
% 8.35/1.80 != (vf @ vd1049 @
% 8.35/1.80 (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0)))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0)))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl2889])).
% 8.35/1.80 thf(zip_derived_cl3862, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049)
% 8.35/1.80 != (vf @ vd1049 @
% 8.35/1.80 (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0)))
% 8.35/1.80 | ~ (rpoint @ (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0)))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl3858])).
% 8.35/1.80 thf(zip_derived_cl3, plain, (((vd1047) != (vd1049))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl3863, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049)
% 8.35/1.80 != (vf @ vd1049 @
% 8.35/1.80 (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0)))
% 8.35/1.80 | ~ (rpoint @ (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0)))),
% 8.35/1.80 inference('simplify_reflect-', [status(thm)],
% 8.35/1.80 [zip_derived_cl3862, zip_derived_cl3])).
% 8.35/1.80 thf(zip_derived_cl3865, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ~ (rpoint @ (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0)))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl3863])).
% 8.35/1.80 thf(zip_derived_cl3869, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (~ (rpoint @ (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047)))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl3865])).
% 8.35/1.80 thf(zip_derived_cl3, plain, (((vd1047) != (vd1049))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl3870, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (~ (rpoint @ (vskolem1064 @ X3 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047)))),
% 8.35/1.80 inference('simplify_reflect-', [status(thm)],
% 8.35/1.80 [zip_derived_cl3869, zip_derived_cl3])).
% 8.35/1.80 thf(zip_derived_cl3872, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ~ (rpoint @ X1))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3870])).
% 8.35/1.80 thf(zip_derived_cl3873, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1049) = (vd1047))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0)))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl3872])).
% 8.35/1.80 thf(zip_derived_cl3, plain, (((vd1047) != (vd1049))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])).
% 8.35/1.80 thf(zip_derived_cl3874, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1049) != (X1))
% 8.35/1.80 | ((vd1047) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((X3) != (vskolem1063 @ X2 @ vd1049 @ X1 @ vd1047 @ X0))
% 8.35/1.80 | ((X2) != (vskolem1061 @ vd1049 @ X1 @ vd1047 @ X0)))),
% 8.35/1.80 inference('simplify_reflect-', [status(thm)],
% 8.35/1.80 [zip_derived_cl3873, zip_derived_cl3])).
% 8.35/1.80 thf(zip_derived_cl3888, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.80 (((X0) != (vskolem1061 @ vd1049 @ X2 @ vd1047 @ X1))
% 8.35/1.80 | ~ (rpoint @ X1)
% 8.35/1.80 | ((vd1047) != (X1))
% 8.35/1.80 | ((vd1049) != (X2))
% 8.35/1.80 | ~ (rpoint @ X2)
% 8.35/1.80 | ((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047)))),
% 8.35/1.80 inference('eq_res', [status(thm)], [zip_derived_cl3874])).
% 8.35/1.80 thf(zip_derived_cl3889, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i]:
% 8.35/1.80 (((vf @ vd1047 @ vd1049) != (vf @ vd1049 @ vd1047))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ((vd1049) != (X0))
% 8.35/1.80 | ((vd1047) != (X1))
% 8.35/1.80 | ~ (rpoint @ X1))),
% 8.35/1.80 inference('eq_res', [status(thm)], [zip_derived_cl3888])).
% 8.35/1.80 thf(zip_derived_cl23, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.80 (((X1) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0)
% 8.35/1.80 | ~ (rpoint @ X2)
% 8.35/1.80 | ((X3) != (X2))
% 8.35/1.80 | ((vf @ X1 @ X3) = (vf @ X3 @ X1)))),
% 8.35/1.80 inference('cnf', [status(esa)],
% 8.35/1.80 [qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))])).
% 8.35/1.80 thf(zip_derived_cl3890, plain,
% 8.35/1.80 (![X0 : $i, X1 : $i]:
% 8.35/1.80 (~ (rpoint @ X1)
% 8.35/1.80 | ((vd1047) != (X1))
% 8.35/1.80 | ((vd1049) != (X0))
% 8.35/1.80 | ~ (rpoint @ X0))),
% 8.35/1.80 inference('clc', [status(thm)], [zip_derived_cl3889, zip_derived_cl23])).
% 8.35/1.80 thf(zip_derived_cl3892, plain,
% 8.35/1.80 (![X0 : $i]:
% 8.35/1.80 (~ (rpoint @ X0) | ((vd1049) != (X0)) | ((vd1047) != (vd1047)))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl2750, zip_derived_cl3890])).
% 8.35/1.80 thf(zip_derived_cl3905, plain,
% 8.35/1.80 (![X0 : $i]: (((vd1049) != (X0)) | ~ (rpoint @ X0))),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl3892])).
% 8.35/1.80 thf(zip_derived_cl3919, plain, (((vd1049) != (vd1049))),
% 8.35/1.80 inference('sup-', [status(thm)], [zip_derived_cl2751, zip_derived_cl3905])).
% 8.35/1.80 thf(zip_derived_cl3932, plain, ($false),
% 8.35/1.80 inference('simplify', [status(thm)], [zip_derived_cl3919])).
% 8.35/1.80
% 8.35/1.80 % SZS output end Refutation
% 8.35/1.80
% 8.35/1.80
% 8.35/1.80 % Terminating...
% 8.72/1.85 % Runner terminated.
% 8.72/1.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------