%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO049-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uRU6UTKUQt true
% Computer : n011.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 04:33:43 PM UTC 2025
% Result : Unsatisfiable 166.45s 24.49s
% Output : Refutation 166.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO049-2 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uRU6UTKUQt true
% 0.13/0.34 % Computer : n011.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 : Wed Oct 1 17:47:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /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/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 166.45/24.49 % Solved by fo/fo5.sh.
% 166.45/24.49 % done 12143 iterations in 23.687s
% 166.45/24.49 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 166.45/24.49 % SZS output start Refutation
% 166.45/24.49 thf(between_type, type, between: $i > $i > $i > $o).
% 166.45/24.49 thf(v1_type, type, v1: $i).
% 166.45/24.49 thf(u_type, type, u: $i).
% 166.45/24.49 thf(v_type, type, v: $i).
% 166.45/24.49 thf(u1_type, type, u1: $i).
% 166.45/24.49 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 166.45/24.49 thf(w_type, type, w: $i).
% 166.45/24.49 thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 166.45/24.49 thf(w1_type, type, w1: $i).
% 166.45/24.49 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 166.45/24.49 thf(prove_v1_between_u1_and_w1, conjecture, (between @ u1 @ v1 @ w1)).
% 166.45/24.49 thf(zf_stmt_0, negated_conjecture, (~( between @ u1 @ v1 @ w1 )),
% 166.45/24.49 inference('cnf.neg', [status(esa)], [prove_v1_between_u1_and_w1])).
% 166.45/24.49 thf(zip_derived_cl22, plain, (~ (between @ u1 @ v1 @ w1)),
% 166.45/24.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 166.45/24.49 thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 166.45/24.49 thf(zip_derived_cl0, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 166.45/24.49 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 166.45/24.49 thf(u_to_v_equals_u1_to_v1, axiom, (equidistant @ u @ v @ u1 @ v1)).
% 166.45/24.49 thf(zip_derived_cl18, plain, ( (equidistant @ u @ v @ u1 @ v1)),
% 166.45/24.49 inference('cnf', [status(esa)], [u_to_v_equals_u1_to_v1])).
% 166.45/24.49 thf(transitivity_for_equidistance, axiom,
% 166.45/24.49 (( ~( equidistant @ X @ Y @ Z @ V ) ) |
% 166.45/24.49 ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl24, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]:
% 166.45/24.49 ( (equidistant @ u1 @ v1 @ X1 @ X0)
% 166.45/24.49 | ~ (equidistant @ u @ v @ X1 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl30, plain, ( (equidistant @ u1 @ v1 @ v @ u)),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl24])).
% 166.45/24.49 thf(zip_derived_cl0, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 166.45/24.49 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 166.45/24.49 thf(v_to_w_equals_v1_to_w1, axiom, (equidistant @ v @ w @ v1 @ w1)).
% 166.45/24.49 thf(zip_derived_cl19, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 166.45/24.49 inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 166.45/24.49 thf(zip_derived_cl0, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 166.45/24.49 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl0, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 166.45/24.49 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl23, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X3 @ X2))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl136, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 166.45/24.49 thf(segment_construction2, axiom,
% 166.45/24.49 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 166.45/24.49 thf(zip_derived_cl4, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 166.45/24.49 inference('cnf', [status(esa)], [segment_construction2])).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl38, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 ( (equidistant @ X1 @ X0 @ X5 @ X4)
% 166.45/24.49 | ~ (equidistant @ X2 @ (extension @ X3 @ X2 @ X1 @ X0) @ X5 @ X4))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl209, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (equidistant @ X1 @ X0 @ X2 @ (extension @ X3 @ X2 @ X1 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl38])).
% 166.45/24.49 thf(zip_derived_cl136, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 166.45/24.49 thf(zip_derived_cl19, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 166.45/24.49 inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl26, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]:
% 166.45/24.49 ( (equidistant @ v1 @ w1 @ X1 @ X0)
% 166.45/24.49 | ~ (equidistant @ v @ w @ X1 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl185, plain, ( (equidistant @ v1 @ w1 @ v @ w)),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl26])).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl205, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]:
% 166.45/24.49 ( (equidistant @ v @ w @ X1 @ X0)
% 166.45/24.49 | ~ (equidistant @ v1 @ w1 @ X1 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl373, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]:
% 166.45/24.49 (equidistant @ v @ w @ X0 @ (extension @ X1 @ X0 @ v1 @ w1))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl205])).
% 166.45/24.49 thf(segment_construction1, axiom,
% 166.45/24.49 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 166.45/24.49 thf(zip_derived_cl3, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 166.45/24.49 inference('cnf', [status(esa)], [segment_construction1])).
% 166.45/24.49 thf(zip_derived_cl18, plain, ( (equidistant @ u @ v @ u1 @ v1)),
% 166.45/24.49 inference('cnf', [status(esa)], [u_to_v_equals_u1_to_v1])).
% 166.45/24.49 thf(outer_five_segment, axiom,
% 166.45/24.49 (( ~( equidistant @ X @ Y @ X1 @ Y1 ) ) |
% 166.45/24.49 ( ~( equidistant @ Y @ Z @ Y1 @ Z1 ) ) |
% 166.45/24.49 ( ~( equidistant @ X @ V @ X1 @ V1 ) ) |
% 166.45/24.49 ( ~( equidistant @ Y @ V @ Y1 @ V1 ) ) | ( ~( between @ X @ Y @ Z ) ) |
% 166.45/24.49 ( ~( between @ X1 @ Y1 @ Z1 ) ) | ( ( X ) = ( Y ) ) |
% 166.45/24.49 ( equidistant @ Z @ V @ Z1 @ V1 ))).
% 166.45/24.49 thf(zip_derived_cl5, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 166.45/24.49 | ~ (equidistant @ X0 @ X6 @ X2 @ X7)
% 166.45/24.49 | ~ (equidistant @ X1 @ X6 @ X3 @ X7)
% 166.45/24.49 | ~ (between @ X0 @ X1 @ X4)
% 166.45/24.49 | ~ (between @ X2 @ X3 @ X5)
% 166.45/24.49 | ((X0) = (X1))
% 166.45/24.49 | (equidistant @ X4 @ X6 @ X5 @ X7))),
% 166.45/24.49 inference('cnf', [status(esa)], [outer_five_segment])).
% 166.45/24.49 thf(zip_derived_cl62, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 ( (equidistant @ X3 @ X2 @ X1 @ X0)
% 166.45/24.49 | ((u) = (v))
% 166.45/24.49 | ~ (between @ u1 @ v1 @ X1)
% 166.45/24.49 | ~ (between @ u @ v @ X3)
% 166.45/24.49 | ~ (equidistant @ v @ X2 @ v1 @ X0)
% 166.45/24.49 | ~ (equidistant @ u @ X2 @ u1 @ X0)
% 166.45/24.49 | ~ (equidistant @ v @ X3 @ v1 @ X1))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl5])).
% 166.45/24.49 thf(zip_derived_cl984, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 166.45/24.49 (~ (equidistant @ v @ X2 @ v1 @ (extension @ u1 @ v1 @ X1 @ X0))
% 166.45/24.49 | ~ (equidistant @ u @ X4 @ u1 @ X3)
% 166.45/24.49 | ~ (equidistant @ v @ X4 @ v1 @ X3)
% 166.45/24.49 | ~ (between @ u @ v @ X2)
% 166.45/24.49 | ((u) = (v))
% 166.45/24.49 | (equidistant @ X2 @ X4 @ (extension @ u1 @ v1 @ X1 @ X0) @ X3))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl62])).
% 166.45/24.49 thf(zip_derived_cl47782, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]:
% 166.45/24.49 ( (equidistant @ w @ X1 @ (extension @ u1 @ v1 @ v1 @ w1) @ X0)
% 166.45/24.49 | ((u) = (v))
% 166.45/24.49 | ~ (between @ u @ v @ w)
% 166.45/24.49 | ~ (equidistant @ v @ X1 @ v1 @ X0)
% 166.45/24.49 | ~ (equidistant @ u @ X1 @ u1 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl984])).
% 166.45/24.49 thf(v_between_u_and_w, axiom, (between @ u @ v @ w)).
% 166.45/24.49 thf(zip_derived_cl21, plain, ( (between @ u @ v @ w)),
% 166.45/24.49 inference('cnf', [status(esa)], [v_between_u_and_w])).
% 166.45/24.49 thf(zip_derived_cl47787, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]:
% 166.45/24.49 ( (equidistant @ w @ X1 @ (extension @ u1 @ v1 @ v1 @ w1) @ X0)
% 166.45/24.49 | ((u) = (v))
% 166.45/24.49 | ~ (equidistant @ v @ X1 @ v1 @ X0)
% 166.45/24.49 | ~ (equidistant @ u @ X1 @ u1 @ X0))),
% 166.45/24.49 inference('demod', [status(thm)], [zip_derived_cl47782, zip_derived_cl21])).
% 166.45/24.49 thf(zip_derived_cl91316, plain,
% 166.45/24.49 ((~ (equidistant @ u @ w @ u1 @ w1)
% 166.45/24.49 | ((u) = (v))
% 166.45/24.49 | (equidistant @ w @ w @ (extension @ u1 @ v1 @ v1 @ w1) @ w1))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl47787])).
% 166.45/24.49 thf(u_to_w_equals_u1_to_w1, axiom, (equidistant @ u @ w @ u1 @ w1)).
% 166.45/24.49 thf(zip_derived_cl20, plain, ( (equidistant @ u @ w @ u1 @ w1)),
% 166.45/24.49 inference('cnf', [status(esa)], [u_to_w_equals_u1_to_w1])).
% 166.45/24.49 thf(zip_derived_cl91319, plain,
% 166.45/24.49 ((((u) = (v))
% 166.45/24.49 | (equidistant @ w @ w @ (extension @ u1 @ v1 @ v1 @ w1) @ w1))),
% 166.45/24.49 inference('demod', [status(thm)], [zip_derived_cl91316, zip_derived_cl20])).
% 166.45/24.49 thf(zip_derived_cl4, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 166.45/24.49 inference('cnf', [status(esa)], [segment_construction2])).
% 166.45/24.49 thf(identity_for_equidistance, axiom,
% 166.45/24.49 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 166.45/24.49 thf(zip_derived_cl2, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 166.45/24.49 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl39, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 166.45/24.49 thf(zip_derived_cl4, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 166.45/24.49 inference('cnf', [status(esa)], [segment_construction2])).
% 166.45/24.49 thf(zip_derived_cl49, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X0 @ X1 @ X1)),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl4])).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl55, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 ( (equidistant @ X0 @ X0 @ X3 @ X2)
% 166.45/24.49 | ~ (equidistant @ X1 @ X1 @ X3 @ X2))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl91364, plain,
% 166.45/24.49 (![X0 : $i]:
% 166.45/24.49 (((u) = (v))
% 166.45/24.49 | (equidistant @ X0 @ X0 @ (extension @ u1 @ v1 @ v1 @ w1) @ w1))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl91319, zip_derived_cl55])).
% 166.45/24.49 thf(zip_derived_cl1, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 166.45/24.49 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 166.45/24.49 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 166.45/24.49 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl91594, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 166.45/24.49 (((u) = (v))
% 166.45/24.49 | (equidistant @ (extension @ u1 @ v1 @ v1 @ w1) @ w1 @ X2 @ X1)
% 166.45/24.49 | ~ (equidistant @ X0 @ X0 @ X2 @ X1))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl91364, zip_derived_cl1])).
% 166.45/24.49 thf(zip_derived_cl93319, plain,
% 166.45/24.49 (![X0 : $i]:
% 166.45/24.49 ( (equidistant @ (extension @ u1 @ v1 @ v1 @ w1) @ w1 @ X0 @ X0)
% 166.45/24.49 | ((u) = (v)))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl91594])).
% 166.45/24.49 thf(zip_derived_cl2, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 166.45/24.49 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl93354, plain,
% 166.45/24.49 ((((u) = (v)) | ((extension @ u1 @ v1 @ v1 @ w1) = (w1)))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl93319, zip_derived_cl2])).
% 166.45/24.49 thf(zip_derived_cl3, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 166.45/24.49 inference('cnf', [status(esa)], [segment_construction1])).
% 166.45/24.49 thf(zip_derived_cl93388, plain, (( (between @ u1 @ v1 @ w1) | ((u) = (v)))),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl93354, zip_derived_cl3])).
% 166.45/24.49 thf(zip_derived_cl22, plain, (~ (between @ u1 @ v1 @ w1)),
% 166.45/24.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 166.45/24.49 thf(zip_derived_cl93709, plain, (((u) = (v))),
% 166.45/24.49 inference('clc', [status(thm)], [zip_derived_cl93388, zip_derived_cl22])).
% 166.45/24.49 thf(zip_derived_cl93715, plain, ( (equidistant @ u1 @ v1 @ u @ u)),
% 166.45/24.49 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl93709])).
% 166.45/24.49 thf(zip_derived_cl2, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 166.45/24.49 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 166.45/24.49 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 166.45/24.49 thf(zip_derived_cl96903, plain, (((u1) = (v1))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl93715, zip_derived_cl2])).
% 166.45/24.49 thf(zip_derived_cl39, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 166.45/24.49 thf(zip_derived_cl3, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 166.45/24.49 inference('cnf', [status(esa)], [segment_construction1])).
% 166.45/24.49 thf(zip_derived_cl48, plain,
% 166.45/24.49 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 166.45/24.49 thf(zip_derived_cl48, plain,
% 166.45/24.49 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 166.45/24.49 thf(inner_pasch1, axiom,
% 166.45/24.49 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 166.45/24.49 ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 166.45/24.49 thf(zip_derived_cl7, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 166.45/24.49 (~ (between @ X0 @ X1 @ X2)
% 166.45/24.49 | ~ (between @ X3 @ X4 @ X2)
% 166.45/24.49 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 166.45/24.49 inference('cnf', [status(esa)], [inner_pasch1])).
% 166.45/24.49 thf(zip_derived_cl51, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 ( (between @ X0 @ (inner_pasch @ X1 @ X0 @ X0 @ X3 @ X2) @ X2)
% 166.45/24.49 | ~ (between @ X2 @ X3 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl7])).
% 166.45/24.49 thf(zip_derived_cl443, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 166.45/24.49 (between @ X0 @ (inner_pasch @ X2 @ X0 @ X0 @ X0 @ X1) @ X1)),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl51])).
% 166.45/24.49 thf(identity_for_betweeness, axiom,
% 166.45/24.49 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 166.45/24.49 thf(zip_derived_cl6, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 166.45/24.49 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 166.45/24.49 thf(zip_derived_cl453, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: ((X0) = (inner_pasch @ X1 @ X0 @ X0 @ X0 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl443, zip_derived_cl6])).
% 166.45/24.49 thf(zip_derived_cl48, plain,
% 166.45/24.49 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 166.45/24.49 thf(zip_derived_cl48, plain,
% 166.45/24.49 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 166.45/24.49 thf(inner_pasch2, axiom,
% 166.45/24.49 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 166.45/24.49 ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 166.45/24.49 thf(zip_derived_cl8, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 166.45/24.49 (~ (between @ X0 @ X1 @ X2)
% 166.45/24.49 | ~ (between @ X3 @ X4 @ X2)
% 166.45/24.49 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 166.45/24.49 inference('cnf', [status(esa)], [inner_pasch2])).
% 166.45/24.49 thf(zip_derived_cl52, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 166.45/24.49 ( (between @ X3 @ (inner_pasch @ X1 @ X0 @ X0 @ X3 @ X2) @ X1)
% 166.45/24.49 | ~ (between @ X2 @ X3 @ X0))),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl8])).
% 166.45/24.49 thf(zip_derived_cl448, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 166.45/24.49 (between @ X0 @ (inner_pasch @ X2 @ X0 @ X0 @ X0 @ X1) @ X2)),
% 166.45/24.49 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl52])).
% 166.45/24.49 thf(zip_derived_cl530, plain,
% 166.45/24.49 (![X0 : $i, X1 : $i]: (between @ X0 @ X0 @ X1)),
% 166.45/24.49 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl448])).
% 166.45/24.49 thf(zip_derived_cl96961, plain, ($false),
% 166.45/24.49 inference('demod', [status(thm)],
% 166.45/24.49 [zip_derived_cl22, zip_derived_cl96903, zip_derived_cl530])).
% 166.45/24.49
% 166.45/24.49 % SZS output end Refutation
% 166.45/24.49
% 166.45/24.49
% 166.45/24.49 % Terminating...
% 166.45/24.51 % Runner terminated.
% 166.45/24.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------