%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ROB004-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1p1f8q68LO 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 04:50:38 PM UTC 2025
% Result : Unsatisfiable 43.71s 6.84s
% Output : Refutation 43.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB004-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1p1f8q68LO true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:24:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 43.71/6.84 % Solved by fo/fo6_bce.sh.
% 43.71/6.84 % BCE start: 7
% 43.71/6.84 % BCE eliminated: 0
% 43.71/6.84 % PE start: 7
% 43.71/6.84 logic: eq
% 43.71/6.84 % PE eliminated: 0
% 43.71/6.84 % done 217 iterations in 6.081s
% 43.71/6.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 43.71/6.84 % SZS output start Refutation
% 43.71/6.84 thf(negate_type, type, negate: $i > $i).
% 43.71/6.84 thf(c_type, type, c: $i).
% 43.71/6.84 thf(b_type, type, b: $i).
% 43.71/6.84 thf(add_type, type, add: $i > $i > $i).
% 43.71/6.84 thf(d_type, type, d: $i).
% 43.71/6.84 thf(a_type, type, a: $i).
% 43.71/6.84 thf(prove_huntingtons_axiom, conjecture,
% 43.71/6.84 (( add @
% 43.71/6.84 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 43.71/6.84 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) =
% 43.71/6.84 ( b ))).
% 43.71/6.84 thf(zf_stmt_0, negated_conjecture,
% 43.71/6.84 (( add @
% 43.71/6.84 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 43.71/6.84 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) !=
% 43.71/6.84 ( b )),
% 43.71/6.84 inference('cnf.neg', [status(esa)], [prove_huntingtons_axiom])).
% 43.71/6.84 thf(zip_derived_cl6, plain,
% 43.71/6.84 (((add @ (negate @ (add @ a @ (negate @ b))) @
% 43.71/6.84 (negate @ (add @ (negate @ a) @ (negate @ b)))) != (b))),
% 43.71/6.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.71/6.84 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 43.71/6.84 thf(zip_derived_cl0, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 43.71/6.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl0, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 43.71/6.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 43.71/6.84 thf(robbins_axiom, axiom,
% 43.71/6.84 (( negate @
% 43.71/6.84 ( add @
% 43.71/6.84 ( negate @ ( add @ X @ Y ) ) @
% 43.71/6.84 ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) =
% 43.71/6.84 ( X ))).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl26, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ (negate @ X1) @ X0))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 43.71/6.84 thf(c_plus_d_is_d, axiom, (( add @ c @ d ) = ( d ))).
% 43.71/6.84 thf(zip_derived_cl4, plain, (((add @ c @ d) = (d))),
% 43.71/6.84 inference('cnf', [status(esa)], [c_plus_d_is_d])).
% 43.71/6.84 thf(associativity_of_add, axiom,
% 43.71/6.84 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 43.71/6.84 thf(zip_derived_cl1, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.71/6.84 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 43.71/6.84 inference('cnf', [status(esa)], [associativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl28, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ (add @ X2 @ X1) @ X0)) @
% 43.71/6.84 (negate @ (add @ X2 @ (add @ X1 @ (negate @ X0))))))
% 43.71/6.84 = (add @ X2 @ X1))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 43.71/6.84 thf(zip_derived_cl1, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.71/6.84 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 43.71/6.84 inference('cnf', [status(esa)], [associativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl39, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X2 @ (add @ X1 @ X0))) @
% 43.71/6.84 (negate @ (add @ X2 @ (add @ X1 @ (negate @ X0))))))
% 43.71/6.84 = (add @ X2 @ X1))),
% 43.71/6.84 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 43.71/6.84 thf(zip_derived_cl894, plain,
% 43.71/6.84 (![X0 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ d)) @
% 43.71/6.84 (negate @ (add @ X0 @ (add @ c @ (negate @ d))))))
% 43.71/6.84 = (add @ X0 @ c))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl39])).
% 43.71/6.84 thf(negate_d_is_c, axiom, (( negate @ d ) = ( c ))).
% 43.71/6.84 thf(zip_derived_cl3, plain, (((negate @ d) = (c))),
% 43.71/6.84 inference('cnf', [status(esa)], [negate_d_is_c])).
% 43.71/6.84 thf(c_plus_c_is_c, axiom, (( add @ c @ c ) = ( c ))).
% 43.71/6.84 thf(zip_derived_cl5, plain, (((add @ c @ c) = (c))),
% 43.71/6.84 inference('cnf', [status(esa)], [c_plus_c_is_c])).
% 43.71/6.84 thf(zip_derived_cl3, plain, (((negate @ d) = (c))),
% 43.71/6.84 inference('cnf', [status(esa)], [negate_d_is_c])).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl30, plain,
% 43.71/6.84 (![X0 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ d)) @ (negate @ (add @ X0 @ c))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 43.71/6.84 thf(zip_derived_cl928, plain, (![X0 : $i]: ((X0) = (add @ X0 @ c))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl894, zip_derived_cl3, zip_derived_cl5,
% 43.71/6.84 zip_derived_cl30])).
% 43.71/6.84 thf(zip_derived_cl0, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 43.71/6.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl946, plain, (![X0 : $i]: ((add @ c @ X0) = (X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl0])).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl29, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @
% 43.71/6.84 (negate @
% 43.71/6.84 (add @ X1 @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X2)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X2)))))) @
% 43.71/6.84 (negate @ (add @ X1 @ X0))))
% 43.71/6.84 = (X1))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 43.71/6.84 thf(zip_derived_cl0, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 43.71/6.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl40, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X1 @ X0)) @
% 43.71/6.84 (negate @
% 43.71/6.84 (add @ X1 @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X2)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X2))))))))
% 43.71/6.84 = (X1))),
% 43.71/6.84 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 43.71/6.84 thf(zip_derived_cl1156, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ X0) @
% 43.71/6.84 (negate @
% 43.71/6.84 (add @ c @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1))))))))
% 43.71/6.84 = (c))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl946, zip_derived_cl40])).
% 43.71/6.84 thf(zip_derived_cl946, plain, (![X0 : $i]: ((add @ c @ X0) = (X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl0])).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl0, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 43.71/6.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl1189, plain,
% 43.71/6.84 (![X0 : $i]: ((negate @ (add @ X0 @ (negate @ X0))) = (c))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl1156, zip_derived_cl946, zip_derived_cl2,
% 43.71/6.84 zip_derived_cl0])).
% 43.71/6.84 thf(zip_derived_cl26, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ (negate @ X1) @ X0))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 43.71/6.84 thf(zip_derived_cl1375, plain,
% 43.71/6.84 (![X0 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ (negate @ (negate @ X0)) @ X0)) @ c))
% 43.71/6.84 = (negate @ (negate @ X0)))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl1189, zip_derived_cl26])).
% 43.71/6.84 thf(zip_derived_cl0, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 43.71/6.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 43.71/6.84 thf(zip_derived_cl928, plain, (![X0 : $i]: ((X0) = (add @ X0 @ c))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl894, zip_derived_cl3, zip_derived_cl5,
% 43.71/6.84 zip_derived_cl30])).
% 43.71/6.84 thf(zip_derived_cl1427, plain,
% 43.71/6.84 (![X0 : $i]:
% 43.71/6.84 ((negate @ (negate @ (add @ X0 @ (negate @ (negate @ X0)))))
% 43.71/6.84 = (negate @ (negate @ X0)))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl1375, zip_derived_cl0, zip_derived_cl928])).
% 43.71/6.84 thf(zip_derived_cl1189, plain,
% 43.71/6.84 (![X0 : $i]: ((negate @ (add @ X0 @ (negate @ X0))) = (c))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl1156, zip_derived_cl946, zip_derived_cl2,
% 43.71/6.84 zip_derived_cl0])).
% 43.71/6.84 thf(zip_derived_cl2, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ X0 @ (negate @ X1)))))
% 43.71/6.84 = (X0))),
% 43.71/6.84 inference('cnf', [status(esa)], [robbins_axiom])).
% 43.71/6.84 thf(zip_derived_cl1362, plain,
% 43.71/6.84 (![X0 : $i]:
% 43.71/6.84 ((negate @
% 43.71/6.84 (add @ c @ (negate @ (add @ X0 @ (negate @ (negate @ X0)))))) = (
% 43.71/6.84 X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl1189, zip_derived_cl2])).
% 43.71/6.84 thf(zip_derived_cl946, plain, (![X0 : $i]: ((add @ c @ X0) = (X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl0])).
% 43.71/6.84 thf(zip_derived_cl1414, plain,
% 43.71/6.84 (![X0 : $i]:
% 43.71/6.84 ((negate @ (negate @ (add @ X0 @ (negate @ (negate @ X0))))) = (X0))),
% 43.71/6.84 inference('demod', [status(thm)], [zip_derived_cl1362, zip_derived_cl946])).
% 43.71/6.84 thf(zip_derived_cl4524, plain,
% 43.71/6.84 (![X0 : $i]: ((X0) = (negate @ (negate @ X0)))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl1427, zip_derived_cl1414])).
% 43.71/6.84 thf(zip_derived_cl4539, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((add @ (negate @ (add @ X0 @ X1)) @
% 43.71/6.84 (negate @ (add @ (negate @ X1) @ X0))) = (negate @ X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl4524])).
% 43.71/6.84 thf(zip_derived_cl4814, plain,
% 43.71/6.84 (![X0 : $i, X1 : $i]:
% 43.71/6.84 ((add @ (negate @ (add @ X1 @ X0)) @
% 43.71/6.84 (negate @ (add @ (negate @ X1) @ X0))) = (negate @ X0))),
% 43.71/6.84 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4539])).
% 43.71/6.84 thf(zip_derived_cl4524, plain,
% 43.71/6.84 (![X0 : $i]: ((X0) = (negate @ (negate @ X0)))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl1427, zip_derived_cl1414])).
% 43.71/6.84 thf(zip_derived_cl8487, plain, (((b) != (b))),
% 43.71/6.84 inference('demod', [status(thm)],
% 43.71/6.84 [zip_derived_cl6, zip_derived_cl4814, zip_derived_cl4524])).
% 43.71/6.84 thf(zip_derived_cl8488, plain, ($false),
% 43.71/6.84 inference('simplify', [status(thm)], [zip_derived_cl8487])).
% 43.71/6.84
% 43.71/6.84 % SZS output end Refutation
% 43.71/6.84
% 43.71/6.84
% 43.71/6.84 % Terminating...
% 43.71/6.88 % Runner terminated.
% 43.71/6.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------