TSTP Solution File: GRP550-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP550-1 : 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.baU1GWpqhs true
% Computer : n013.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 01:52:04 EDT 2023
% Result : Unsatisfiable 1.16s 0.73s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.baU1GWpqhs true
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 22:46:46 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
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.60 % Total configuration time : 435
% 0.23/0.60 % Estimated wc time : 1092
% 0.23/0.60 % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.16/0.73 % Solved by fo/fo6_bce.sh.
% 1.16/0.73 % BCE start: 5
% 1.16/0.73 % BCE eliminated: 0
% 1.16/0.73 % PE start: 5
% 1.16/0.73 logic: eq
% 1.16/0.73 % PE eliminated: 0
% 1.16/0.73 % done 18 iterations in 0.020s
% 1.16/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.16/0.73 % SZS output start Refutation
% 1.16/0.73 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.16/0.73 thf(a2_type, type, a2: $i).
% 1.16/0.73 thf(b2_type, type, b2: $i).
% 1.16/0.73 thf(identity_type, type, identity: $i).
% 1.16/0.73 thf(divide_type, type, divide: $i > $i > $i).
% 1.16/0.73 thf(inverse_type, type, inverse: $i > $i).
% 1.16/0.73 thf(prove_these_axioms_2, conjecture,
% 1.16/0.73 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 1.16/0.73 thf(zf_stmt_0, negated_conjecture,
% 1.16/0.73 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 1.16/0.73 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 1.16/0.73 thf(zip_derived_cl4, plain,
% 1.16/0.73 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 1.16/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.16/0.73 thf(inverse, axiom, (( inverse @ A ) = ( divide @ identity @ A ))).
% 1.16/0.73 thf(zip_derived_cl2, plain,
% 1.16/0.73 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [inverse])).
% 1.16/0.73 thf(zip_derived_cl5, plain,
% 1.16/0.73 (((multiply @ (multiply @ (divide @ identity @ b2) @ b2) @ a2) != (a2))),
% 1.16/0.73 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.16/0.73 thf(multiply, axiom,
% 1.16/0.73 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 1.16/0.73 thf(zip_derived_cl1, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.16/0.73 inference('cnf', [status(esa)], [multiply])).
% 1.16/0.73 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 1.16/0.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [identity])).
% 1.16/0.73 thf(zip_derived_cl1, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.16/0.73 inference('cnf', [status(esa)], [multiply])).
% 1.16/0.73 thf(zip_derived_cl13, plain,
% 1.16/0.73 (((divide @ identity @ (divide @ identity @ a2)) != (a2))),
% 1.16/0.73 inference('demod', [status(thm)],
% 1.16/0.73 [zip_derived_cl5, zip_derived_cl1, zip_derived_cl3,
% 1.16/0.73 zip_derived_cl1])).
% 1.16/0.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [identity])).
% 1.16/0.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [identity])).
% 1.16/0.73 thf(single_axiom, axiom,
% 1.16/0.73 (( divide @
% 1.16/0.73 ( divide @ identity @ A ) @
% 1.16/0.73 ( divide @ ( divide @ ( divide @ B @ A ) @ C ) @ B ) ) =
% 1.16/0.73 ( C ))).
% 1.16/0.73 thf(zip_derived_cl0, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X1) @
% 1.16/0.73 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 1.16/0.73 thf(zip_derived_cl8, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @ (divide @ identity @ X1))
% 1.16/0.73 = (divide @ X1 @ X0))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.16/0.73 thf(zip_derived_cl18, plain,
% 1.16/0.73 (![X0 : $i]:
% 1.16/0.73 ((divide @ identity @ (divide @ identity @ X0))
% 1.16/0.73 = (divide @ X0 @ identity))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 1.16/0.73 thf(zip_derived_cl65, plain, (((divide @ a2 @ identity) != (a2))),
% 1.16/0.73 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl18])).
% 1.16/0.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [identity])).
% 1.16/0.73 thf(zip_derived_cl8, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @ (divide @ identity @ X1))
% 1.16/0.73 = (divide @ X1 @ X0))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.16/0.73 thf(zip_derived_cl17, plain,
% 1.16/0.73 (![X0 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @ identity)
% 1.16/0.73 = (divide @ identity @ X0))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 1.16/0.73 thf(zip_derived_cl0, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X1) @
% 1.16/0.73 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 1.16/0.73 thf(zip_derived_cl39, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ identity) @
% 1.16/0.73 (divide @ (divide @ (divide @ identity @ X0) @ X1) @
% 1.16/0.73 (divide @ identity @ X0)))
% 1.16/0.73 = (X1))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 1.16/0.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [identity])).
% 1.16/0.73 thf(zip_derived_cl45, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ identity @
% 1.16/0.73 (divide @ (divide @ (divide @ identity @ X0) @ X1) @
% 1.16/0.73 (divide @ identity @ X0)))
% 1.16/0.73 = (X1))),
% 1.16/0.73 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 1.16/0.73 thf(zip_derived_cl8, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @ (divide @ identity @ X1))
% 1.16/0.73 = (divide @ X1 @ X0))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.16/0.73 thf(zip_derived_cl0, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X1) @
% 1.16/0.73 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 1.16/0.73 thf(zip_derived_cl0, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X1) @
% 1.16/0.73 (divide @ (divide @ (divide @ X2 @ X1) @ X0) @ X2)) = (X0))),
% 1.16/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 1.16/0.73 thf(zip_derived_cl7, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X2) @ (divide @ X0 @ identity))
% 1.16/0.73 = (divide @ (divide @ (divide @ X1 @ X2) @ X0) @ X1))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.16/0.73 thf(zip_derived_cl56, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @
% 1.16/0.73 (divide @ (divide @ identity @ X1) @ identity))
% 1.16/0.73 = (divide @ (divide @ X1 @ X0) @ identity))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 1.16/0.73 thf(zip_derived_cl17, plain,
% 1.16/0.73 (![X0 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @ identity)
% 1.16/0.73 = (divide @ identity @ X0))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 1.16/0.73 thf(zip_derived_cl8, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ (divide @ identity @ X0) @ (divide @ identity @ X1))
% 1.16/0.73 = (divide @ X1 @ X0))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.16/0.73 thf(zip_derived_cl62, plain,
% 1.16/0.73 (![X0 : $i, X1 : $i]:
% 1.16/0.73 ((divide @ X1 @ X0) = (divide @ (divide @ X1 @ X0) @ identity))),
% 1.16/0.73 inference('demod', [status(thm)],
% 1.16/0.73 [zip_derived_cl56, zip_derived_cl17, zip_derived_cl8])).
% 1.16/0.73 thf(zip_derived_cl87, plain, (![X0 : $i]: ((X0) = (divide @ X0 @ identity))),
% 1.16/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl62])).
% 1.16/0.73 thf(zip_derived_cl109, plain, (((a2) != (a2))),
% 1.16/0.73 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl87])).
% 1.16/0.73 thf(zip_derived_cl110, plain, ($false),
% 1.16/0.73 inference('simplify', [status(thm)], [zip_derived_cl109])).
% 1.16/0.73
% 1.16/0.73 % SZS output end Refutation
% 1.16/0.73
% 1.16/0.73
% 1.16/0.73 % Terminating...
% 1.66/0.81 % Runner terminated.
% 1.66/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------