TSTP Solution File: ROB022-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ROB022-1 : 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.U0M3umu0fR true
% Computer : n010.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 14:09:46 EDT 2023
% Result : Unsatisfiable 174.12s 25.82s
% Output : Refutation 174.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ROB022-1 : 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.U0M3umu0fR true
% 0.15/0.35 % Computer : n010.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 06:36:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /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
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 174.12/25.82 % Solved by fo/fo6_bce.sh.
% 174.12/25.82 % BCE start: 5
% 174.12/25.82 % BCE eliminated: 0
% 174.12/25.82 % PE start: 5
% 174.12/25.82 logic: eq
% 174.12/25.82 % PE eliminated: 0
% 174.12/25.82 % done 531 iterations in 25.032s
% 174.12/25.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 174.12/25.82 % SZS output start Refutation
% 174.12/25.82 thf(negate_type, type, negate: $i > $i).
% 174.12/25.82 thf(a_type, type, a: $i).
% 174.12/25.82 thf(add_type, type, add: $i > $i > $i).
% 174.12/25.82 thf(c_type, type, c: $i).
% 174.12/25.82 thf(b_type, type, b: $i).
% 174.12/25.82 thf(prove_huntingtons_axiom, conjecture,
% 174.12/25.82 (( add @
% 174.12/25.82 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 174.12/25.82 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) =
% 174.12/25.82 ( b ))).
% 174.12/25.82 thf(zf_stmt_0, negated_conjecture,
% 174.12/25.82 (( add @
% 174.12/25.82 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 174.12/25.82 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) !=
% 174.12/25.82 ( b )),
% 174.12/25.82 inference('cnf.neg', [status(esa)], [prove_huntingtons_axiom])).
% 174.12/25.82 thf(zip_derived_cl4, plain,
% 174.12/25.82 (((add @ (negate @ (add @ a @ (negate @ b))) @
% 174.12/25.82 (negate @ (add @ (negate @ a) @ (negate @ b)))) != (b))),
% 174.12/25.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 174.12/25.82 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(robbins_axiom, axiom,
% 174.12/25.82 (( negate @
% 174.12/25.82 ( add @
% 174.12/25.82 ( negate @ ( add @ X @ Y ) ) @
% 174.12/25.82 ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) =
% 174.12/25.82 ( X ))).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl53, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ (negate @ X1) @ X0))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 174.12/25.82 thf(condition, axiom, (( add @ c @ ( negate @ c ) ) = ( c ))).
% 174.12/25.82 thf(zip_derived_cl3, plain, (((add @ c @ (negate @ c)) = (c))),
% 174.12/25.82 inference('cnf', [status(esa)], [condition])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(associativity_of_add, axiom,
% 174.12/25.82 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 174.12/25.82 thf(zip_derived_cl1, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 174.12/25.82 inference('cnf', [status(esa)], [associativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl5, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ X0 @ (add @ X2 @ X1)) = (add @ X2 @ (add @ X1 @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl29, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ X2 @ (add @ X1 @ X0)) = (add @ X0 @ (add @ X1 @ X2)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 174.12/25.82 thf(zip_derived_cl225, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ X0 @ c) = (add @ (negate @ c) @ (add @ c @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 174.12/25.82 thf(zip_derived_cl5, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ X0 @ (add @ X2 @ X1)) = (add @ X2 @ (add @ X1 @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl14, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ (add @ X0 @ X2) @ X1) = (add @ X2 @ (add @ X1 @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl147, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X2 @ (add @ X1 @ X0))) @
% 174.12/25.82 (negate @ (add @ (add @ X0 @ X2) @ (negate @ X1)))))
% 174.12/25.82 = (add @ X0 @ X2))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl1, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 174.12/25.82 inference('cnf', [status(esa)], [associativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl174, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X2 @ (add @ X1 @ X0))) @
% 174.12/25.82 (negate @ (add @ X0 @ (add @ X2 @ (negate @ X1))))))
% 174.12/25.82 = (add @ X0 @ X2))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 174.12/25.82 thf(zip_derived_cl16333, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ c)) @
% 174.12/25.82 (negate @ (add @ X0 @ (add @ (negate @ c) @ (negate @ c))))))
% 174.12/25.82 = (add @ X0 @ (negate @ c)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl174])).
% 174.12/25.82 thf(zip_derived_cl3, plain, (((add @ c @ (negate @ c)) = (c))),
% 174.12/25.82 inference('cnf', [status(esa)], [condition])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl56, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ (add @ c @ c)) @ (negate @ c))) = (c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl67, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ c)))) = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl116, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ X0 @ (add @ (negate @ c) @ (negate @ (add @ c @ c))))) @
% 174.12/25.82 (negate @ (add @ X0 @ c))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl121, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ c)) @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ X0 @ (add @ (negate @ c) @ (negate @ (add @ c @ c)))))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl67, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ c)))) = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl118, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ (add @ (negate @ c) @ (add @ c @ c))) @ c))
% 174.12/25.82 = (negate @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl3, plain, (((add @ c @ (negate @ c)) = (c))),
% 174.12/25.82 inference('cnf', [status(esa)], [condition])).
% 174.12/25.82 thf(zip_derived_cl5, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ X0 @ (add @ X2 @ X1)) = (add @ X2 @ (add @ X1 @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl41, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ (negate @ c) @ (add @ X0 @ c)) = (add @ X0 @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl122, plain,
% 174.12/25.82 (((negate @ (add @ c @ (negate @ (add @ c @ c)))) = (negate @ c))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl118, zip_derived_cl41, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl125, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ (add @ c @ (add @ c @ c))) @ (negate @ c)))
% 174.12/25.82 = (c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl129, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ (add @ c @ c)))))
% 174.12/25.82 = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl50, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ X0 @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (negate @ (add @ X0 @ (negate @ X1))))))))
% 174.12/25.82 = (negate @ (add @ X0 @ X1)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl3361, plain,
% 174.12/25.82 (((negate @
% 174.12/25.82 (add @ (negate @ c) @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @
% 174.12/25.82 (negate @ (add @ (negate @ c) @ (add @ c @ (add @ c @ c)))) @
% 174.12/25.82 (negate @ c)))))
% 174.12/25.82 = (negate @ (add @ (negate @ c) @ (add @ c @ (add @ c @ c)))))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl50])).
% 174.12/25.82 thf(zip_derived_cl225, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ X0 @ c) = (add @ (negate @ c) @ (add @ c @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 174.12/25.82 thf(zip_derived_cl1, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 174.12/25.82 inference('cnf', [status(esa)], [associativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl129, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ (add @ c @ c)))))
% 174.12/25.82 = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl3, plain, (((add @ c @ (negate @ c)) = (c))),
% 174.12/25.82 inference('cnf', [status(esa)], [condition])).
% 174.12/25.82 thf(zip_derived_cl225, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ X0 @ c) = (add @ (negate @ c) @ (add @ c @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl1356, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ (add @ c @ X0) @ (negate @ c)) = (add @ X0 @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl3024, plain,
% 174.12/25.82 (((add @ c @ (negate @ c)) = (add @ (negate @ c) @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1356])).
% 174.12/25.82 thf(zip_derived_cl3, plain, (((add @ c @ (negate @ c)) = (c))),
% 174.12/25.82 inference('cnf', [status(esa)], [condition])).
% 174.12/25.82 thf(zip_derived_cl3041, plain, (((c) = (add @ (negate @ c) @ c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl3024, zip_derived_cl3])).
% 174.12/25.82 thf(zip_derived_cl225, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ X0 @ c) = (add @ (negate @ c) @ (add @ c @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 174.12/25.82 thf(zip_derived_cl1, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 174.12/25.82 inference('cnf', [status(esa)], [associativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl3438, plain,
% 174.12/25.82 (((negate @ c) = (negate @ (add @ c @ (add @ c @ c))))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl3361, zip_derived_cl225, zip_derived_cl1,
% 174.12/25.82 zip_derived_cl0, zip_derived_cl129, zip_derived_cl3041,
% 174.12/25.82 zip_derived_cl225, zip_derived_cl1])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl59, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X1 @ X0)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl4082, plain,
% 174.12/25.82 (((negate @
% 174.12/25.82 (add @ (negate @ c) @ (negate @ (add @ (add @ c @ c) @ (negate @ c)))))
% 174.12/25.82 = (add @ c @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3438, zip_derived_cl59])).
% 174.12/25.82 thf(zip_derived_cl1356, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ (add @ c @ X0) @ (negate @ c)) = (add @ X0 @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl67, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ c)))) = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl50, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ X0 @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (negate @ (add @ X0 @ (negate @ X1))))))))
% 174.12/25.82 = (negate @ (add @ X0 @ X1)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl3360, plain,
% 174.12/25.82 (((negate @
% 174.12/25.82 (add @ (negate @ c) @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ (negate @ (add @ (negate @ c) @ (add @ c @ c))) @
% 174.12/25.82 (negate @ c)))))
% 174.12/25.82 = (negate @ (add @ (negate @ c) @ (add @ c @ c))))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl50])).
% 174.12/25.82 thf(zip_derived_cl225, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ X0 @ c) = (add @ (negate @ c) @ (add @ c @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl67, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ c)))) = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl3041, plain, (((c) = (add @ (negate @ c) @ c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl3024, zip_derived_cl3])).
% 174.12/25.82 thf(zip_derived_cl225, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ X0 @ c) = (add @ (negate @ c) @ (add @ c @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 174.12/25.82 thf(zip_derived_cl3437, plain, (((negate @ c) = (negate @ (add @ c @ c)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl3360, zip_derived_cl225, zip_derived_cl0,
% 174.12/25.82 zip_derived_cl67, zip_derived_cl3041, zip_derived_cl225])).
% 174.12/25.82 thf(zip_derived_cl67, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ (add @ c @ c)))) = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl3437, plain, (((negate @ c) = (negate @ (add @ c @ c)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl3360, zip_derived_cl225, zip_derived_cl0,
% 174.12/25.82 zip_derived_cl67, zip_derived_cl3041, zip_derived_cl225])).
% 174.12/25.82 thf(zip_derived_cl3476, plain,
% 174.12/25.82 (((negate @ (add @ (negate @ c) @ (negate @ c))) = (c))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl3437])).
% 174.12/25.82 thf(zip_derived_cl4099, plain, (((c) = (add @ c @ c))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl4082, zip_derived_cl1356, zip_derived_cl3437,
% 174.12/25.82 zip_derived_cl3476])).
% 174.12/25.82 thf(zip_derived_cl10042, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ c)) @
% 174.12/25.82 (negate @ (add @ X0 @ (add @ (negate @ c) @ (negate @ c))))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl4099])).
% 174.12/25.82 thf(zip_derived_cl16521, plain,
% 174.12/25.82 (![X0 : $i]: ((X0) = (add @ X0 @ (negate @ c)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl16333, zip_derived_cl10042])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl16612, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ (negate @ c) @ X0) = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl16521, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl57, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ X1 @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X2)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X2)))))) @
% 174.12/25.82 (negate @ (add @ X1 @ X0))))
% 174.12/25.82 = (X1))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl68, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X1 @ X0)) @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ X1 @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X2)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X2))))))))
% 174.12/25.82 = (X1))),
% 174.12/25.82 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl18735, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ X0) @
% 174.12/25.82 (negate @
% 174.12/25.82 (add @ (negate @ c) @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1))))))))
% 174.12/25.82 = (negate @ c))),
% 174.12/25.82 inference('s_sup+', [status(thm)],
% 174.12/25.82 [zip_derived_cl16612, zip_derived_cl68])).
% 174.12/25.82 thf(zip_derived_cl16612, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ (negate @ c) @ X0) = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl16521, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl18892, plain,
% 174.12/25.82 (![X0 : $i]: ((negate @ (add @ X0 @ (negate @ X0))) = (negate @ c))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl18735, zip_derived_cl16612, zip_derived_cl2,
% 174.12/25.82 zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl53, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ (negate @ X1) @ X0))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl19859, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ (negate @ (negate @ X0)) @ X0)) @
% 174.12/25.82 (negate @ c)))
% 174.12/25.82 = (negate @ (negate @ X0)))),
% 174.12/25.82 inference('s_sup+', [status(thm)],
% 174.12/25.82 [zip_derived_cl18892, zip_derived_cl53])).
% 174.12/25.82 thf(zip_derived_cl0, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 174.12/25.82 inference('cnf', [status(esa)], [commutativity_of_add])).
% 174.12/25.82 thf(zip_derived_cl16521, plain,
% 174.12/25.82 (![X0 : $i]: ((X0) = (add @ X0 @ (negate @ c)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl16333, zip_derived_cl10042])).
% 174.12/25.82 thf(zip_derived_cl19939, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @ (negate @ (add @ X0 @ (negate @ (negate @ X0)))))
% 174.12/25.82 = (negate @ (negate @ X0)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl19859, zip_derived_cl0, zip_derived_cl16521])).
% 174.12/25.82 thf(zip_derived_cl18892, plain,
% 174.12/25.82 (![X0 : $i]: ((negate @ (add @ X0 @ (negate @ X0))) = (negate @ c))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl18735, zip_derived_cl16612, zip_derived_cl2,
% 174.12/25.82 zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl2, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ X1)))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('cnf', [status(esa)], [robbins_axiom])).
% 174.12/25.82 thf(zip_derived_cl19842, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @
% 174.12/25.82 (add @ (negate @ c) @
% 174.12/25.82 (negate @ (add @ X0 @ (negate @ (negate @ X0))))))
% 174.12/25.82 = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl18892, zip_derived_cl2])).
% 174.12/25.82 thf(zip_derived_cl16612, plain,
% 174.12/25.82 (![X0 : $i]: ((add @ (negate @ c) @ X0) = (X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl16521, zip_derived_cl0])).
% 174.12/25.82 thf(zip_derived_cl19922, plain,
% 174.12/25.82 (![X0 : $i]:
% 174.12/25.82 ((negate @ (negate @ (add @ X0 @ (negate @ (negate @ X0))))) = (X0))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl19842, zip_derived_cl16612])).
% 174.12/25.82 thf(zip_derived_cl20526, plain,
% 174.12/25.82 (![X0 : $i]: ((X0) = (negate @ (negate @ X0)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl19939, zip_derived_cl19922])).
% 174.12/25.82 thf(zip_derived_cl20545, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((add @ (negate @ (add @ X0 @ X1)) @
% 174.12/25.82 (negate @ (add @ (negate @ X1) @ X0))) = (negate @ X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)],
% 174.12/25.82 [zip_derived_cl53, zip_derived_cl20526])).
% 174.12/25.82 thf(zip_derived_cl21295, plain,
% 174.12/25.82 (![X0 : $i, X1 : $i]:
% 174.12/25.82 ((add @ (negate @ (add @ X1 @ X0)) @
% 174.12/25.82 (negate @ (add @ (negate @ X1) @ X0))) = (negate @ X0))),
% 174.12/25.82 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl20545])).
% 174.12/25.82 thf(zip_derived_cl20526, plain,
% 174.12/25.82 (![X0 : $i]: ((X0) = (negate @ (negate @ X0)))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl19939, zip_derived_cl19922])).
% 174.12/25.82 thf(zip_derived_cl23764, plain, (((b) != (b))),
% 174.12/25.82 inference('demod', [status(thm)],
% 174.12/25.82 [zip_derived_cl4, zip_derived_cl21295, zip_derived_cl20526])).
% 174.12/25.82 thf(zip_derived_cl23765, plain, ($false),
% 174.12/25.82 inference('simplify', [status(thm)], [zip_derived_cl23764])).
% 174.12/25.82
% 174.12/25.82 % SZS output end Refutation
% 174.12/25.82
% 174.12/25.82
% 174.12/25.82 % Terminating...
% 175.34/25.91 % Runner terminated.
% 175.34/25.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------