%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO069-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Egv1XIrnax true
% Computer : n027.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 04:33:47 PM UTC 2025
% Result : Unsatisfiable 1.46s 1.27s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.20 % Problem : GEO069-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.07/0.21 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Egv1XIrnax true
% 0.11/0.42 % Computer : n027.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8042.1875MB
% 0.11/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Wed Oct 1 17:36:38 EDT 2025
% 0.11/0.42 % CPUTime :
% 0.11/0.42 % Running portfolio for 300 s
% 0.11/0.42 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42 % Number of cores: 8
% 0.11/0.42 % Python version: Python 3.6.8
% 0.11/0.42 % Running in FO mode
% 0.38/0.68 % Total configuration time : 435
% 0.38/0.68 % Estimated wc time : 1092
% 0.38/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.39/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.89 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.98 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.40/1.00 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.40/1.00 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.40/1.02 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/1.03 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.46/1.27 % Solved by fo/fo4.sh.
% 1.46/1.27 % done 165 iterations in 0.106s
% 1.46/1.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/1.27 % SZS output start Refutation
% 1.46/1.27 thf(between_type, type, between: $i > $i > $i > $o).
% 1.46/1.27 thf(w_type, type, w: $i).
% 1.46/1.27 thf(x_type, type, x: $i).
% 1.46/1.27 thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 1.46/1.27 thf(u_type, type, u: $i).
% 1.46/1.27 thf(v_type, type, v: $i).
% 1.46/1.27 thf(prove_xwu_and_xwv_colinear, conjecture,
% 1.46/1.27 (~( ( ~( colinear @ x @ w @ v ) ) | ( ~( colinear @ x @ w @ u ) ) ))).
% 1.46/1.27 thf(zf_stmt_0, negated_conjecture,
% 1.46/1.27 (( ~( colinear @ x @ w @ v ) ) | ( ~( colinear @ x @ w @ u ) )),
% 1.46/1.27 inference('cnf.neg', [status(esa)], [prove_xwu_and_xwv_colinear])).
% 1.46/1.27 thf(zip_derived_cl22, plain,
% 1.46/1.27 ((~ (colinear @ x @ w @ v) | ~ (colinear @ x @ w @ u))),
% 1.46/1.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.46/1.27 thf(xvu_colinear, axiom, (colinear @ x @ v @ u)).
% 1.46/1.27 thf(zip_derived_cl21, plain, ( (colinear @ x @ v @ u)),
% 1.46/1.27 inference('cnf', [status(esa)], [xvu_colinear])).
% 1.46/1.27 thf(colinearity4, axiom,
% 1.46/1.27 (( ~( colinear @ X @ Y @ Z ) ) | ( between @ X @ Y @ Z ) |
% 1.46/1.27 ( between @ Y @ Z @ X ) | ( between @ Z @ X @ Y ))).
% 1.46/1.27 thf(zip_derived_cl3, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2)
% 1.46/1.27 | (between @ X0 @ X1 @ X2)
% 1.46/1.27 | (between @ X1 @ X2 @ X0)
% 1.46/1.27 | (between @ X2 @ X0 @ X1))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity4])).
% 1.46/1.27 thf(zip_derived_cl26, plain,
% 1.46/1.27 (( (between @ u @ x @ v)
% 1.46/1.27 | (between @ v @ u @ x)
% 1.46/1.27 | (between @ x @ v @ u))),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 1.46/1.27 thf(colinearity1, axiom,
% 1.46/1.27 (( ~( between @ X @ Y @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 1.46/1.27 thf(zip_derived_cl0, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity1])).
% 1.46/1.27 thf(zip_derived_cl423, plain,
% 1.46/1.27 (( (between @ x @ v @ u)
% 1.46/1.27 | (between @ v @ u @ x)
% 1.46/1.27 | (colinear @ u @ x @ v))),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 1.46/1.27 thf(colinearity2, axiom,
% 1.46/1.27 (( ~( between @ Y @ Z @ X ) ) | ( colinear @ X @ Y @ Z ))).
% 1.46/1.27 thf(zip_derived_cl1, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity2])).
% 1.46/1.27 thf(zip_derived_cl439, plain,
% 1.46/1.27 (( (colinear @ u @ x @ v) | (between @ v @ u @ x))),
% 1.46/1.27 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl1])).
% 1.46/1.27 thf(colinearity3, axiom,
% 1.46/1.27 (( ~( between @ Z @ X @ Y ) ) | ( colinear @ X @ Y @ Z ))).
% 1.46/1.27 thf(zip_derived_cl2, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity3])).
% 1.46/1.27 thf(zip_derived_cl440, plain, ( (colinear @ u @ x @ v)),
% 1.46/1.27 inference('clc', [status(thm)], [zip_derived_cl439, zip_derived_cl2])).
% 1.46/1.27 thf(t10_4, axiom, (( ~( colinear @ U @ V @ W ) ) | ( colinear @ W @ U @ V ))).
% 1.46/1.27 thf(zip_derived_cl10, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.46/1.27 inference('cnf', [status(esa)], [t10_4])).
% 1.46/1.27 thf(zip_derived_cl444, plain, ( (colinear @ v @ u @ x)),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl10])).
% 1.46/1.27 thf(wvu_colinear, axiom, (colinear @ w @ v @ u)).
% 1.46/1.27 thf(zip_derived_cl20, plain, ( (colinear @ w @ v @ u)),
% 1.46/1.27 inference('cnf', [status(esa)], [wvu_colinear])).
% 1.46/1.27 thf(zip_derived_cl3, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2)
% 1.46/1.27 | (between @ X0 @ X1 @ X2)
% 1.46/1.27 | (between @ X1 @ X2 @ X0)
% 1.46/1.27 | (between @ X2 @ X0 @ X1))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity4])).
% 1.46/1.27 thf(zip_derived_cl25, plain,
% 1.46/1.27 (( (between @ u @ w @ v)
% 1.46/1.27 | (between @ v @ u @ w)
% 1.46/1.27 | (between @ w @ v @ u))),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl3])).
% 1.46/1.27 thf(zip_derived_cl1, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity2])).
% 1.46/1.27 thf(zip_derived_cl28, plain,
% 1.46/1.27 (( (between @ w @ v @ u)
% 1.46/1.27 | (between @ v @ u @ w)
% 1.46/1.27 | (colinear @ v @ u @ w))),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 1.46/1.27 thf(zip_derived_cl2, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity3])).
% 1.46/1.27 thf(zip_derived_cl42, plain,
% 1.46/1.27 (( (colinear @ v @ u @ w) | (between @ v @ u @ w))),
% 1.46/1.27 inference('clc', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.46/1.27 thf(zip_derived_cl0, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.46/1.27 inference('cnf', [status(esa)], [colinearity1])).
% 1.46/1.27 thf(zip_derived_cl43, plain, ( (colinear @ v @ u @ w)),
% 1.46/1.27 inference('clc', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.46/1.27 thf(t12_1, axiom,
% 1.46/1.27 (( ~( colinear @ U @ V @ W ) ) | ( ~( colinear @ U @ V @ X ) ) |
% 1.46/1.27 ( colinear @ U @ W @ X ) | ( ( U ) = ( V ) ))).
% 1.46/1.27 thf(zip_derived_cl17, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2)
% 1.46/1.27 | ~ (colinear @ X0 @ X1 @ X3)
% 1.46/1.27 | (colinear @ X0 @ X2 @ X3)
% 1.46/1.27 | ((X0) = (X1)))),
% 1.46/1.27 inference('cnf', [status(esa)], [t12_1])).
% 1.46/1.27 thf(zip_derived_cl100, plain,
% 1.46/1.27 (![X0 : $i]:
% 1.46/1.27 (((v) = (u)) | (colinear @ v @ w @ X0) | ~ (colinear @ v @ u @ X0))),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl17])).
% 1.46/1.27 thf(u_not_v, axiom, (( u ) != ( v ))).
% 1.46/1.27 thf(zip_derived_cl19, plain, (((u) != (v))),
% 1.46/1.27 inference('cnf', [status(esa)], [u_not_v])).
% 1.46/1.27 thf(zip_derived_cl108, plain,
% 1.46/1.27 (![X0 : $i]: ( (colinear @ v @ w @ X0) | ~ (colinear @ v @ u @ X0))),
% 1.46/1.27 inference('simplify_reflect-', [status(thm)],
% 1.46/1.27 [zip_derived_cl100, zip_derived_cl19])).
% 1.46/1.27 thf(zip_derived_cl465, plain, ( (colinear @ v @ w @ x)),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl108])).
% 1.46/1.27 thf(t10_1, axiom, (( ~( colinear @ U @ V @ W ) ) | ( colinear @ W @ V @ U ))).
% 1.46/1.27 thf(zip_derived_cl7, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 1.46/1.27 inference('cnf', [status(esa)], [t10_1])).
% 1.46/1.27 thf(zip_derived_cl480, plain, ( (colinear @ x @ w @ v)),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl465, zip_derived_cl7])).
% 1.46/1.27 thf(zip_derived_cl505, plain, (~ (colinear @ x @ w @ u)),
% 1.46/1.27 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl480])).
% 1.46/1.27 thf(zip_derived_cl444, plain, ( (colinear @ v @ u @ x)),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl10])).
% 1.46/1.27 thf(zip_derived_cl43, plain, ( (colinear @ v @ u @ w)),
% 1.46/1.27 inference('clc', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.46/1.27 thf(t12_2, axiom,
% 1.46/1.27 (( ~( colinear @ U @ V @ W ) ) | ( ~( colinear @ U @ V @ X ) ) |
% 1.46/1.27 ( colinear @ V @ W @ X ) | ( ( U ) = ( V ) ))).
% 1.46/1.27 thf(zip_derived_cl18, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2)
% 1.46/1.27 | ~ (colinear @ X0 @ X1 @ X3)
% 1.46/1.27 | (colinear @ X1 @ X2 @ X3)
% 1.46/1.27 | ((X0) = (X1)))),
% 1.46/1.27 inference('cnf', [status(esa)], [t12_2])).
% 1.46/1.27 thf(zip_derived_cl115, plain,
% 1.46/1.27 (![X0 : $i]:
% 1.46/1.27 (((v) = (u)) | (colinear @ u @ w @ X0) | ~ (colinear @ v @ u @ X0))),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl18])).
% 1.46/1.27 thf(zip_derived_cl19, plain, (((u) != (v))),
% 1.46/1.27 inference('cnf', [status(esa)], [u_not_v])).
% 1.46/1.27 thf(zip_derived_cl123, plain,
% 1.46/1.27 (![X0 : $i]: ( (colinear @ u @ w @ X0) | ~ (colinear @ v @ u @ X0))),
% 1.46/1.27 inference('simplify_reflect-', [status(thm)],
% 1.46/1.27 [zip_derived_cl115, zip_derived_cl19])).
% 1.46/1.27 thf(zip_derived_cl466, plain, ( (colinear @ u @ w @ x)),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl123])).
% 1.46/1.27 thf(zip_derived_cl7, plain,
% 1.46/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/1.27 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 1.46/1.27 inference('cnf', [status(esa)], [t10_1])).
% 1.46/1.27 thf(zip_derived_cl493, plain, ( (colinear @ x @ w @ u)),
% 1.46/1.27 inference('sup-', [status(thm)], [zip_derived_cl466, zip_derived_cl7])).
% 1.46/1.27 thf(zip_derived_cl542, plain, ($false),
% 1.46/1.27 inference('demod', [status(thm)], [zip_derived_cl505, zip_derived_cl493])).
% 1.46/1.27
% 1.46/1.27 % SZS output end Refutation
% 1.46/1.27
% 1.46/1.27
% 1.46/1.27 % Terminating...
% 1.71/1.48 % Runner terminated.
% 1.71/1.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------