TSTP Solution File: GRP513-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP513-1 : 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.bUVEJj2L8f true
% Computer : n031.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 01:51:56 EDT 2023
% Result : Unsatisfiable 1.38s 0.83s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP513-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bUVEJj2L8f true
% 0.13/0.34 % Computer : n031.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 : Mon Aug 28 22:27:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.83 % Solved by fo/fo1_av.sh.
% 1.38/0.83 % done 24 iterations in 0.077s
% 1.38/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.83 % SZS output start Refutation
% 1.38/0.83 thf(b1_type, type, b1: $i).
% 1.38/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.38/0.83 thf(inverse_type, type, inverse: $i > $i).
% 1.38/0.83 thf(a1_type, type, a1: $i).
% 1.38/0.83 thf(single_axiom, axiom,
% 1.38/0.83 (( multiply @
% 1.38/0.83 A @
% 1.38/0.83 ( multiply @ ( multiply @ B @ C ) @ ( inverse @ ( multiply @ A @ C ) ) ) ) =
% 1.38/0.83 ( B ))).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl2, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @ X0 @
% 1.38/0.83 (inverse @
% 1.38/0.83 (multiply @ X3 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @
% 1.38/0.83 (inverse @ (multiply @ X1 @ X2)))))))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.38/0.83 thf(zip_derived_cl10, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i]:
% 1.38/0.83 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl2, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @ X0 @
% 1.38/0.83 (inverse @
% 1.38/0.83 (multiply @ X3 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @
% 1.38/0.83 (inverse @ (multiply @ X1 @ X2)))))))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.38/0.83 thf(zip_derived_cl19, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i]:
% 1.38/0.83 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl2, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @ X0 @
% 1.38/0.83 (inverse @
% 1.38/0.83 (multiply @ X3 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @
% 1.38/0.83 (inverse @ (multiply @ X1 @ X2)))))))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.38/0.83 thf(zip_derived_cl28, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ (multiply @ X2 @ X0) @
% 1.38/0.83 (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X2))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl4, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @
% 1.38/0.83 (multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @
% 1.38/0.83 (inverse @ (multiply @ X3 @ X2)))) @
% 1.38/0.83 (inverse @ X0)))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.38/0.83 thf(zip_derived_cl28, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ (multiply @ X2 @ X0) @
% 1.38/0.83 (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X2))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl2, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @ X0 @
% 1.38/0.83 (inverse @
% 1.38/0.83 (multiply @ X3 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @
% 1.38/0.83 (inverse @ (multiply @ X1 @ X2)))))))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.38/0.83 thf(zip_derived_cl85, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ (inverse @ X0)))
% 1.38/0.83 = (multiply @ X2 @ X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl19, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i]:
% 1.38/0.83 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl0, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.38/0.83 = (X0))),
% 1.38/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/0.83 thf(zip_derived_cl3, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @
% 1.38/0.83 (multiply @ X1 @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @
% 1.38/0.83 (inverse @ (multiply @ X3 @ X2)))) @
% 1.38/0.83 (inverse @ X0)))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.38/0.83 thf(zip_derived_cl38, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ (inverse @ X1)))
% 1.38/0.83 = (multiply @ X2 @ X0))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 1.38/0.83 thf(zip_derived_cl118, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.83 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.38/0.83 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl38])).
% 1.38/0.83 thf(zip_derived_cl188, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.83 ((multiply @ X3 @
% 1.38/0.83 (multiply @ (multiply @ X1 @ (inverse @ X0)) @
% 1.38/0.83 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X3 @ X2)))))
% 1.38/0.83 = (X1))),
% 1.38/0.83 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl118])).
% 1.38/0.83 thf(zip_derived_cl205, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i]:
% 1.38/0.83 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl188])).
% 1.38/0.83 thf(zip_derived_cl10, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i]:
% 1.38/0.83 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.38/0.83 thf(zip_derived_cl282, plain,
% 1.38/0.83 (![X0 : $i, X1 : $i]:
% 1.38/0.83 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 1.38/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl10])).
% 1.38/0.84 thf(prove_these_axioms_1, conjecture,
% 1.38/0.84 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 1.38/0.84 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 1.38/0.84 thf(zf_stmt_0, negated_conjecture,
% 1.38/0.84 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.38/0.84 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 1.38/0.84 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 1.38/0.84 thf(zip_derived_cl1, plain,
% 1.38/0.84 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 1.38/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.38/0.84 thf(zip_derived_cl205, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i]:
% 1.38/0.84 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 1.38/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl188])).
% 1.38/0.84 thf(zip_derived_cl118, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.84 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.38/0.84 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 1.38/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl38])).
% 1.38/0.84 thf(zip_derived_cl275, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.84 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1) @ X0)
% 1.38/0.84 = (multiply @ X0 @ X1))),
% 1.38/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl118])).
% 1.38/0.84 thf(zip_derived_cl205, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i]:
% 1.38/0.84 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 1.38/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl188])).
% 1.38/0.84 thf(zip_derived_cl305, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.38/0.84 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl205])).
% 1.38/0.84 thf(zip_derived_cl305, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.38/0.84 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl205])).
% 1.38/0.84 thf(zip_derived_cl314, plain,
% 1.38/0.84 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))),
% 1.38/0.84 inference('demod', [status(thm)],
% 1.38/0.84 [zip_derived_cl1, zip_derived_cl305, zip_derived_cl305])).
% 1.38/0.84 thf(zip_derived_cl399, plain,
% 1.38/0.84 (![X0 : $i]:
% 1.38/0.84 ((multiply @ a1 @ (inverse @ a1)) != (multiply @ X0 @ (inverse @ X0)))),
% 1.38/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl282, zip_derived_cl314])).
% 1.38/0.84 thf(zip_derived_cl282, plain,
% 1.38/0.84 (![X0 : $i, X1 : $i]:
% 1.38/0.84 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 1.38/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl10])).
% 1.38/0.84 thf(zip_derived_cl438, plain, ($false),
% 1.38/0.84 inference('simplify_reflect+', [status(thm)],
% 1.38/0.84 [zip_derived_cl399, zip_derived_cl282])).
% 1.38/0.84
% 1.38/0.84 % SZS output end Refutation
% 1.38/0.84
% 1.38/0.84
% 1.38/0.84 % Terminating...
% 1.51/0.87 % Runner terminated.
% 1.51/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------