TSTP Solution File: ROB004-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ROB004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.C16ulrdRep true
% Computer : n026.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 Aug 31 14:09:42 EDT 2023
% Result : Unsatisfiable 47.27s 7.41s
% Output : Refutation 47.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ROB004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.C16ulrdRep true
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 07:13:04 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 47.27/7.41 % Solved by fo/fo6_bce.sh.
% 47.27/7.41 % BCE start: 7
% 47.27/7.41 % BCE eliminated: 0
% 47.27/7.41 % PE start: 7
% 47.27/7.41 logic: eq
% 47.27/7.41 % PE eliminated: 0
% 47.27/7.41 % done 217 iterations in 6.668s
% 47.27/7.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 47.27/7.41 % SZS output start Refutation
% 47.27/7.41 thf(negate_type, type, negate: $i > $i).
% 47.27/7.41 thf(c_type, type, c: $i).
% 47.27/7.41 thf(b_type, type, b: $i).
% 47.27/7.41 thf(add_type, type, add: $i > $i > $i).
% 47.27/7.41 thf(d_type, type, d: $i).
% 47.27/7.41 thf(a_type, type, a: $i).
% 47.27/7.41 thf(prove_huntingtons_axiom, conjecture,
% 47.27/7.41 (( add @
% 47.27/7.41 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 47.27/7.41 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) =
% 47.27/7.41 ( b ))).
% 47.27/7.41 thf(zf_stmt_0, negated_conjecture,
% 47.27/7.41 (( add @
% 47.27/7.41 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 47.27/7.41 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) !=
% 47.27/7.41 ( b )),
% 47.27/7.41 inference('cnf.neg', [status(esa)], [prove_huntingtons_axiom])).
% 47.27/7.41 thf(zip_derived_cl6, plain,
% 47.27/7.41 (((add @ (negate @ (add @ a @ (negate @ b))) @
% 47.27/7.41 (negate @ (add @ (negate @ a) @ (negate @ b)))) != (b))),
% 47.27/7.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 47.27/7.41 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 47.27/7.41 thf(zip_derived_cl0, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 47.27/7.41 inference('cnf', [status(esa)], [commutativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl0, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 47.27/7.41 inference('cnf', [status(esa)], [commutativity_of_add])).
% 47.27/7.41 thf(robbins_axiom, axiom,
% 47.27/7.41 (( negate @
% 47.27/7.41 ( add @
% 47.27/7.41 ( negate @ ( add @ X @ Y ) ) @
% 47.27/7.41 ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) =
% 47.27/7.41 ( X ))).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl26, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ (negate @ X1) @ X0))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 47.27/7.41 thf(c_plus_d_is_d, axiom, (( add @ c @ d ) = ( d ))).
% 47.27/7.41 thf(zip_derived_cl4, plain, (((add @ c @ d) = (d))),
% 47.27/7.41 inference('cnf', [status(esa)], [c_plus_d_is_d])).
% 47.27/7.41 thf(associativity_of_add, axiom,
% 47.27/7.41 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 47.27/7.41 thf(zip_derived_cl1, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.27/7.41 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 47.27/7.41 inference('cnf', [status(esa)], [associativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl28, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ (add @ X2 @ X1) @ X0)) @
% 47.27/7.41 (negate @ (add @ X2 @ (add @ X1 @ (negate @ X0))))))
% 47.27/7.41 = (add @ X2 @ X1))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 47.27/7.41 thf(zip_derived_cl1, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.27/7.41 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 47.27/7.41 inference('cnf', [status(esa)], [associativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl39, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X2 @ (add @ X1 @ X0))) @
% 47.27/7.41 (negate @ (add @ X2 @ (add @ X1 @ (negate @ X0))))))
% 47.27/7.41 = (add @ X2 @ X1))),
% 47.27/7.41 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 47.27/7.41 thf(zip_derived_cl894, plain,
% 47.27/7.41 (![X0 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ d)) @
% 47.27/7.41 (negate @ (add @ X0 @ (add @ c @ (negate @ d))))))
% 47.27/7.41 = (add @ X0 @ c))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl39])).
% 47.27/7.41 thf(negate_d_is_c, axiom, (( negate @ d ) = ( c ))).
% 47.27/7.41 thf(zip_derived_cl3, plain, (((negate @ d) = (c))),
% 47.27/7.41 inference('cnf', [status(esa)], [negate_d_is_c])).
% 47.27/7.41 thf(c_plus_c_is_c, axiom, (( add @ c @ c ) = ( c ))).
% 47.27/7.41 thf(zip_derived_cl5, plain, (((add @ c @ c) = (c))),
% 47.27/7.41 inference('cnf', [status(esa)], [c_plus_c_is_c])).
% 47.27/7.41 thf(zip_derived_cl3, plain, (((negate @ d) = (c))),
% 47.27/7.41 inference('cnf', [status(esa)], [negate_d_is_c])).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl30, plain,
% 47.27/7.41 (![X0 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ d)) @ (negate @ (add @ X0 @ c))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 47.27/7.41 thf(zip_derived_cl928, plain, (![X0 : $i]: ((X0) = (add @ X0 @ c))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl894, zip_derived_cl3, zip_derived_cl5,
% 47.27/7.41 zip_derived_cl30])).
% 47.27/7.41 thf(zip_derived_cl0, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 47.27/7.41 inference('cnf', [status(esa)], [commutativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl946, plain, (![X0 : $i]: ((add @ c @ X0) = (X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl0])).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl29, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @
% 47.27/7.41 (negate @
% 47.27/7.41 (add @ X1 @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X2)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X2)))))) @
% 47.27/7.41 (negate @ (add @ X1 @ X0))))
% 47.27/7.41 = (X1))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 47.27/7.41 thf(zip_derived_cl0, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 47.27/7.41 inference('cnf', [status(esa)], [commutativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl40, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X1 @ X0)) @
% 47.27/7.41 (negate @
% 47.27/7.41 (add @ X1 @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X2)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X2))))))))
% 47.27/7.41 = (X1))),
% 47.27/7.41 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 47.27/7.41 thf(zip_derived_cl1156, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ X0) @
% 47.27/7.41 (negate @
% 47.27/7.41 (add @ c @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1))))))))
% 47.27/7.41 = (c))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl946, zip_derived_cl40])).
% 47.27/7.41 thf(zip_derived_cl946, plain, (![X0 : $i]: ((add @ c @ X0) = (X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl0])).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl0, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 47.27/7.41 inference('cnf', [status(esa)], [commutativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl1189, plain,
% 47.27/7.41 (![X0 : $i]: ((negate @ (add @ X0 @ (negate @ X0))) = (c))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl1156, zip_derived_cl946, zip_derived_cl2,
% 47.27/7.41 zip_derived_cl0])).
% 47.27/7.41 thf(zip_derived_cl26, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ (negate @ X1) @ X0))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 47.27/7.41 thf(zip_derived_cl1375, plain,
% 47.27/7.41 (![X0 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ (negate @ (negate @ X0)) @ X0)) @ c))
% 47.27/7.41 = (negate @ (negate @ X0)))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1189, zip_derived_cl26])).
% 47.27/7.41 thf(zip_derived_cl0, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 47.27/7.41 inference('cnf', [status(esa)], [commutativity_of_add])).
% 47.27/7.41 thf(zip_derived_cl928, plain, (![X0 : $i]: ((X0) = (add @ X0 @ c))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl894, zip_derived_cl3, zip_derived_cl5,
% 47.27/7.41 zip_derived_cl30])).
% 47.27/7.41 thf(zip_derived_cl1427, plain,
% 47.27/7.41 (![X0 : $i]:
% 47.27/7.41 ((negate @ (negate @ (add @ X0 @ (negate @ (negate @ X0)))))
% 47.27/7.41 = (negate @ (negate @ X0)))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl1375, zip_derived_cl0, zip_derived_cl928])).
% 47.27/7.41 thf(zip_derived_cl1189, plain,
% 47.27/7.41 (![X0 : $i]: ((negate @ (add @ X0 @ (negate @ X0))) = (c))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl1156, zip_derived_cl946, zip_derived_cl2,
% 47.27/7.41 zip_derived_cl0])).
% 47.27/7.41 thf(zip_derived_cl2, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ X0 @ (negate @ X1)))))
% 47.27/7.41 = (X0))),
% 47.27/7.41 inference('cnf', [status(esa)], [robbins_axiom])).
% 47.27/7.41 thf(zip_derived_cl1362, plain,
% 47.27/7.41 (![X0 : $i]:
% 47.27/7.41 ((negate @
% 47.27/7.41 (add @ c @ (negate @ (add @ X0 @ (negate @ (negate @ X0)))))) = (
% 47.27/7.41 X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl1189, zip_derived_cl2])).
% 47.27/7.41 thf(zip_derived_cl946, plain, (![X0 : $i]: ((add @ c @ X0) = (X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl0])).
% 47.27/7.41 thf(zip_derived_cl1414, plain,
% 47.27/7.41 (![X0 : $i]:
% 47.27/7.41 ((negate @ (negate @ (add @ X0 @ (negate @ (negate @ X0))))) = (X0))),
% 47.27/7.41 inference('demod', [status(thm)], [zip_derived_cl1362, zip_derived_cl946])).
% 47.27/7.41 thf(zip_derived_cl4524, plain,
% 47.27/7.41 (![X0 : $i]: ((X0) = (negate @ (negate @ X0)))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl1427, zip_derived_cl1414])).
% 47.27/7.41 thf(zip_derived_cl4539, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((add @ (negate @ (add @ X0 @ X1)) @
% 47.27/7.41 (negate @ (add @ (negate @ X1) @ X0))) = (negate @ X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl4524])).
% 47.27/7.41 thf(zip_derived_cl4814, plain,
% 47.27/7.41 (![X0 : $i, X1 : $i]:
% 47.27/7.41 ((add @ (negate @ (add @ X1 @ X0)) @
% 47.27/7.41 (negate @ (add @ (negate @ X1) @ X0))) = (negate @ X0))),
% 47.27/7.41 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4539])).
% 47.27/7.41 thf(zip_derived_cl4524, plain,
% 47.27/7.41 (![X0 : $i]: ((X0) = (negate @ (negate @ X0)))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl1427, zip_derived_cl1414])).
% 47.27/7.41 thf(zip_derived_cl8487, plain, (((b) != (b))),
% 47.27/7.41 inference('demod', [status(thm)],
% 47.27/7.41 [zip_derived_cl6, zip_derived_cl4814, zip_derived_cl4524])).
% 47.27/7.41 thf(zip_derived_cl8488, plain, ($false),
% 47.27/7.41 inference('simplify', [status(thm)], [zip_derived_cl8487])).
% 47.27/7.41
% 47.27/7.41 % SZS output end Refutation
% 47.27/7.41
% 47.27/7.41
% 47.27/7.41 % Terminating...
% 47.27/7.52 % Runner terminated.
% 47.27/7.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------