TSTP Solution File: GRP561-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP561-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M8Gqz7pLII true
% Computer : n002.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 01:52:07 EDT 2023
% Result : Unsatisfiable 1.30s 0.74s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP561-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M8Gqz7pLII true
% 0.13/0.34 % Computer : n002.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 : Tue Aug 29 01:14:35 EDT 2023
% 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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.74 % Solved by fo/fo6_bce.sh.
% 1.30/0.74 % BCE start: 3
% 1.30/0.74 % BCE eliminated: 0
% 1.30/0.74 % PE start: 3
% 1.30/0.74 logic: eq
% 1.30/0.74 % PE eliminated: 0
% 1.30/0.74 % done 19 iterations in 0.034s
% 1.30/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.74 % SZS output start Refutation
% 1.30/0.74 thf(inverse_type, type, inverse: $i > $i).
% 1.30/0.74 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.30/0.74 thf(b1_type, type, b1: $i).
% 1.30/0.74 thf(divide_type, type, divide: $i > $i > $i).
% 1.30/0.74 thf(a1_type, type, a1: $i).
% 1.30/0.74 thf(single_axiom, axiom,
% 1.30/0.74 (( divide @
% 1.30/0.74 ( divide @ ( divide @ A @ ( inverse @ B ) ) @ C ) @ ( divide @ A @ C ) ) =
% 1.30/0.74 ( B ))).
% 1.30/0.74 thf(zip_derived_cl0, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (divide @ X1 @ X2)) = (X0))),
% 1.30/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.74 thf(zip_derived_cl0, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (divide @ X1 @ X2)) = (X0))),
% 1.30/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.74 thf(zip_derived_cl4, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.74 ((divide @
% 1.30/0.74 (divide @
% 1.30/0.74 (divide @ (divide @ (divide @ X3 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (inverse @ X1)) @
% 1.30/0.74 (divide @ X3 @ X2)) @
% 1.30/0.74 X0) = (X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl4, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.74 ((divide @
% 1.30/0.74 (divide @
% 1.30/0.74 (divide @ (divide @ (divide @ X3 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (inverse @ X1)) @
% 1.30/0.74 (divide @ X3 @ X2)) @
% 1.30/0.74 X0) = (X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl20, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.74 ((divide @
% 1.30/0.74 (divide @ X0 @
% 1.30/0.74 (divide @
% 1.30/0.74 (divide @ (divide @ X3 @ (inverse @ (inverse @ X1))) @ X2) @
% 1.30/0.74 (divide @ X3 @ X2))) @
% 1.30/0.74 X0) = (X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 1.30/0.74 thf(zip_derived_cl0, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (divide @ X1 @ X2)) = (X0))),
% 1.30/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.74 thf(zip_derived_cl24, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]:
% 1.30/0.74 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 1.30/0.74 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl0, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (divide @ X1 @ X2)) = (X0))),
% 1.30/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.74 thf(zip_derived_cl33, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl33, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl24, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]:
% 1.30/0.74 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 1.30/0.74 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl42, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]:
% 1.30/0.74 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 1.30/0.74 thf(zip_derived_cl0, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (divide @ X1 @ X2)) = (X0))),
% 1.30/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.74 thf(zip_derived_cl0, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.30/0.74 (divide @ X1 @ X2)) = (X0))),
% 1.30/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.74 thf(zip_derived_cl5, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ X0 @
% 1.30/0.74 (divide @ (divide @ X2 @ (inverse @ X0)) @
% 1.30/0.74 (divide @ X2 @ (inverse @ X1))))
% 1.30/0.74 = (X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.30/0.74 thf(zip_derived_cl83, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.74 ((divide @ X0 @
% 1.30/0.74 (divide @ X0 @ (divide @ (divide @ X2 @ X2) @ (inverse @ X1))))
% 1.30/0.74 = (X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 1.30/0.74 thf(zip_derived_cl42, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]:
% 1.30/0.74 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 1.30/0.74 thf(zip_derived_cl94, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 1.30/0.74 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl42])).
% 1.30/0.74 thf(zip_derived_cl104, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl94])).
% 1.30/0.74 thf(prove_these_axioms_1, conjecture,
% 1.30/0.74 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 1.30/0.74 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 1.30/0.74 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.74 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.30/0.74 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 1.30/0.74 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 1.30/0.74 thf(zip_derived_cl2, plain,
% 1.30/0.74 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 1.30/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.74 thf(multiply, axiom,
% 1.30/0.74 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 1.30/0.74 thf(zip_derived_cl1, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]:
% 1.30/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.30/0.74 inference('cnf', [status(esa)], [multiply])).
% 1.30/0.74 thf(zip_derived_cl1, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]:
% 1.30/0.74 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.30/0.74 inference('cnf', [status(esa)], [multiply])).
% 1.30/0.74 thf(zip_derived_cl3, plain,
% 1.30/0.74 (((divide @ (inverse @ a1) @ (inverse @ a1))
% 1.30/0.74 != (divide @ (inverse @ b1) @ (inverse @ b1)))),
% 1.30/0.74 inference('demod', [status(thm)],
% 1.30/0.74 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 1.30/0.74 thf(zip_derived_cl157, plain,
% 1.30/0.74 (![X0 : $i]:
% 1.30/0.74 ((divide @ (inverse @ a1) @ (inverse @ a1)) != (divide @ X0 @ X0))),
% 1.30/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl3])).
% 1.30/0.74 thf(zip_derived_cl104, plain,
% 1.30/0.74 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 1.30/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl94])).
% 1.30/0.74 thf(zip_derived_cl196, plain, ($false),
% 1.30/0.74 inference('simplify_reflect+', [status(thm)],
% 1.30/0.74 [zip_derived_cl157, zip_derived_cl104])).
% 1.30/0.74
% 1.30/0.74 % SZS output end Refutation
% 1.30/0.74
% 1.30/0.74
% 1.30/0.74 % Terminating...
% 1.45/0.84 % Runner terminated.
% 1.45/0.85 % Zipperpin 1.5 exiting
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