TSTP Solution File: GRP553-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP553-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5kxSa1sstP true
% Computer : n023.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 01:52:05 EDT 2023
% Result : Unsatisfiable 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP553-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5kxSa1sstP true
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 23:44:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80 % Solved by fo/fo6_bce.sh.
% 0.58/0.80 % BCE start: 3
% 0.58/0.80 % BCE eliminated: 0
% 0.58/0.80 % PE start: 3
% 0.58/0.80 logic: eq
% 0.58/0.80 % PE eliminated: 0
% 0.58/0.80 % done 25 iterations in 0.078s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% 0.58/0.80 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.80 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.80 thf(b1_type, type, b1: $i).
% 0.58/0.80 thf(divide_type, type, divide: $i > $i > $i).
% 0.58/0.80 thf(a1_type, type, a1: $i).
% 0.58/0.80 thf(single_axiom, axiom,
% 0.58/0.80 (( divide @
% 0.58/0.80 ( divide @ A @ ( inverse @ ( divide @ B @ ( divide @ A @ C ) ) ) ) @ C ) =
% 0.58/0.80 ( B ))).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl5, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 0.58/0.80 = (divide @ X3 @
% 0.58/0.80 (inverse @ (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl10, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0) @
% 0.58/0.80 (divide @ X2 @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.58/0.80 thf(zip_derived_cl10, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0) @
% 0.58/0.80 (divide @ X2 @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.58/0.80 thf(zip_derived_cl25, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @ X0 @
% 0.58/0.80 (divide @ (divide @ X2 @ (inverse @ X0)) @
% 0.58/0.80 (divide @ X2 @ (inverse @ X1))))
% 0.58/0.80 = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 0.58/0.80 thf(zip_derived_cl41, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X0 @ (divide @ X2 @ (divide @ X2 @ (inverse @ X1)))) @ X0)
% 0.58/0.80 = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 0.58/0.80 thf(zip_derived_cl41, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X0 @ (divide @ X2 @ (divide @ X2 @ (inverse @ X1)))) @ X0)
% 0.58/0.80 = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl0, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.58/0.80 = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.80 thf(zip_derived_cl4, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 ((divide @
% 0.58/0.80 (divide @
% 0.58/0.80 (divide @ X3 @ (inverse @ (divide @ X0 @ (divide @ X3 @ X2)))) @
% 0.58/0.80 (inverse @ (divide @ X1 @ X0))) @
% 0.58/0.80 X2) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.80 thf(zip_derived_cl80, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.58/0.80 thf(zip_derived_cl80, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.58/0.80 thf(zip_derived_cl109, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl80])).
% 0.58/0.80 thf(zip_derived_cl80, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.58/0.80 thf(zip_derived_cl127, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 0.58/0.80 = (inverse @ (divide @ X1 @ X0)))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl80])).
% 0.58/0.80 thf(zip_derived_cl109, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl80])).
% 0.58/0.80 thf(zip_derived_cl160, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl109])).
% 0.58/0.80 thf(zip_derived_cl182, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ X0) = (divide @ X1 @ (divide @ X1 @ (inverse @ X0))))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl160])).
% 0.58/0.80 thf(zip_derived_cl196, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl182])).
% 0.58/0.80 thf(zip_derived_cl10, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ((divide @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0) @
% 0.58/0.80 (divide @ X2 @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.58/0.80 thf(zip_derived_cl258, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl10])).
% 0.58/0.80 thf(zip_derived_cl160, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl109])).
% 0.58/0.80 thf(zip_derived_cl182, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ X0) = (divide @ X1 @ (divide @ X1 @ (inverse @ X0))))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl160])).
% 0.58/0.80 thf(zip_derived_cl215, plain,
% 0.58/0.80 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X2 @ (divide @ X2 @ X0)))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl182])).
% 0.58/0.80 thf(zip_derived_cl306, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((divide @ X1 @ X1) = (divide @ X0 @ X0))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl215])).
% 0.58/0.80 thf(prove_these_axioms_1, conjecture,
% 0.58/0.80 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.58/0.80 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.58/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.80 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.58/0.80 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.58/0.80 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.58/0.80 thf(zip_derived_cl2, plain,
% 0.58/0.80 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.80 thf(multiply, axiom,
% 0.58/0.80 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 0.58/0.80 thf(zip_derived_cl1, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.58/0.80 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.80 thf(zip_derived_cl1, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.58/0.80 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.80 thf(zip_derived_cl3, plain,
% 0.58/0.80 (((divide @ (inverse @ a1) @ (inverse @ a1))
% 0.58/0.80 != (divide @ (inverse @ b1) @ (inverse @ b1)))),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.58/0.80 thf(zip_derived_cl127, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 0.58/0.80 = (inverse @ (divide @ X1 @ X0)))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl80])).
% 0.58/0.80 thf(zip_derived_cl127, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 0.58/0.80 = (inverse @ (divide @ X1 @ X0)))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl80])).
% 0.58/0.80 thf(zip_derived_cl144, plain,
% 0.58/0.80 (((inverse @ (divide @ a1 @ a1)) != (inverse @ (divide @ b1 @ b1)))),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl3, zip_derived_cl127, zip_derived_cl127])).
% 0.58/0.80 thf(zip_derived_cl215, plain,
% 0.58/0.80 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X2 @ (divide @ X2 @ X0)))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl182])).
% 0.58/0.80 thf(zip_derived_cl160, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl109])).
% 0.58/0.80 thf(zip_derived_cl224, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl160])).
% 0.58/0.80 thf(zip_derived_cl224, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl160])).
% 0.58/0.80 thf(zip_derived_cl279, plain, (((divide @ a1 @ a1) != (divide @ b1 @ b1))),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl144, zip_derived_cl224, zip_derived_cl224])).
% 0.58/0.80 thf(zip_derived_cl335, plain,
% 0.58/0.80 (![X0 : $i]: ((divide @ a1 @ a1) != (divide @ X0 @ X0))),
% 0.58/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl306, zip_derived_cl279])).
% 0.58/0.80 thf(zip_derived_cl306, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((divide @ X1 @ X1) = (divide @ X0 @ X0))),
% 0.58/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl215])).
% 0.58/0.80 thf(zip_derived_cl360, plain, ($false),
% 0.58/0.80 inference('simplify_reflect+', [status(thm)],
% 0.58/0.80 [zip_derived_cl335, zip_derived_cl306])).
% 0.58/0.80
% 0.58/0.80 % SZS output end Refutation
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 0.82/0.85 % Runner terminated.
% 0.82/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------