%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP087-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MKF56SD0Nj true
% Computer : n021.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 Oct 2 04:35:36 PM UTC 2025
% Result : Unsatisfiable 0.74s 0.86s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP087-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MKF56SD0Nj true
% 0.14/0.31 % Computer : n021.cluster.edu
% 0.14/0.31 % Model : x86_64 x86_64
% 0.14/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.31 % Memory : 8042.1875MB
% 0.14/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31 % CPULimit : 300
% 0.14/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Wed Oct 1 14:24:08 EDT 2025
% 0.14/0.31 % CPUTime :
% 0.14/0.31 % Running portfolio for 300 s
% 0.14/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.31 % Number of cores: 8
% 0.14/0.32 % Python version: Python 3.6.8
% 0.14/0.32 % Running in FO mode
% 0.39/0.52 % Total configuration time : 435
% 0.39/0.52 % Estimated wc time : 1092
% 0.39/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.68/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.68/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.68/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.74/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.74/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.74/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.74/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.74/0.86 % Solved by fo/fo7.sh.
% 0.74/0.86 % done 40 iterations in 0.068s
% 0.74/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.74/0.86 % SZS output start Refutation
% 0.74/0.86 thf(inverse_type, type, inverse: $i > $i).
% 0.74/0.86 thf(b1_type, type, b1: $i).
% 0.74/0.86 thf(b3_type, type, b3: $i).
% 0.74/0.86 thf(b2_type, type, b2: $i).
% 0.74/0.86 thf(b4_type, type, b4: $i).
% 0.74/0.86 thf(a4_type, type, a4: $i).
% 0.74/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.74/0.86 thf(a3_type, type, a3: $i).
% 0.74/0.86 thf(c3_type, type, c3: $i).
% 0.74/0.86 thf(a2_type, type, a2: $i).
% 0.74/0.86 thf(a1_type, type, a1: $i).
% 0.74/0.86 thf(single_axiom, axiom,
% 0.74/0.86 (( multiply @
% 0.74/0.86 X @
% 0.74/0.86 ( multiply @ ( multiply @ ( inverse @ ( multiply @ X @ Y ) ) @ Z ) @ Y ) ) =
% 0.74/0.86 ( Z ))).
% 0.74/0.86 thf(zip_derived_cl0, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X1 @
% 0.74/0.86 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.74/0.86 = (X0))),
% 0.74/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.74/0.86 thf(zip_derived_cl0, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X1 @
% 0.74/0.86 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.74/0.86 = (X0))),
% 0.74/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.74/0.86 thf(zip_derived_cl0, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X1 @
% 0.74/0.86 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.74/0.86 = (X0))),
% 0.74/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.74/0.86 thf(zip_derived_cl3, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.74/0.86 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.74/0.86 = (multiply @
% 0.74/0.86 (multiply @
% 0.74/0.86 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.74/0.86 X0) @
% 0.74/0.86 X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.74/0.86 thf(zip_derived_cl0, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X1 @
% 0.74/0.86 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.74/0.86 = (X0))),
% 0.74/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.74/0.86 thf(zip_derived_cl8, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.74/0.86 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.74/0.86 thf(zip_derived_cl8, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.74/0.86 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.74/0.86 thf(zip_derived_cl19, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @
% 0.74/0.86 (inverse @
% 0.74/0.86 (multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X0 @ X2))) @
% 0.74/0.86 X0) = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 0.74/0.86 thf(zip_derived_cl42, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @
% 0.74/0.86 (multiply @
% 0.74/0.86 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X2)) @ X0))
% 0.74/0.86 = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 0.74/0.86 thf(zip_derived_cl8, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.74/0.86 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.74/0.86 thf(zip_derived_cl63, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.74/0.86 thf(zip_derived_cl42, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @
% 0.74/0.86 (multiply @
% 0.74/0.86 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X2)) @ X0))
% 0.74/0.86 = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 0.74/0.86 thf(zip_derived_cl63, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl91, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl63, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.74/0.86 thf(zip_derived_cl3, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.74/0.86 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.74/0.86 = (multiply @
% 0.74/0.86 (multiply @
% 0.74/0.86 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.74/0.86 X0) @
% 0.74/0.86 X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl91, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl63, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.74/0.86 thf(zip_derived_cl142, plain,
% 0.74/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl142, plain,
% 0.74/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl181, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 0.74/0.86 inference('demod', [status(thm)],
% 0.74/0.86 [zip_derived_cl63, zip_derived_cl135, zip_derived_cl79,
% 0.74/0.86 zip_derived_cl135, zip_derived_cl142, zip_derived_cl135,
% 0.74/0.86 zip_derived_cl142])).
% 0.74/0.86 thf(zip_derived_cl3, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.74/0.86 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.74/0.86 = (multiply @
% 0.74/0.86 (multiply @
% 0.74/0.86 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.74/0.86 X0) @
% 0.74/0.86 X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl142, plain,
% 0.74/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl142, plain,
% 0.74/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl178, plain,
% 0.74/0.86 (![X0 : $i, X2 : $i, X3 : $i]:
% 0.74/0.86 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.74/0.86 = (multiply @ X3 @ (multiply @ X2 @ X0)))),
% 0.74/0.86 inference('demod', [status(thm)],
% 0.74/0.86 [zip_derived_cl3, zip_derived_cl135, zip_derived_cl79,
% 0.74/0.86 zip_derived_cl135, zip_derived_cl142, zip_derived_cl135,
% 0.74/0.86 zip_derived_cl142, zip_derived_cl79, zip_derived_cl79,
% 0.74/0.86 zip_derived_cl79, zip_derived_cl79, zip_derived_cl79,
% 0.74/0.86 zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl142, plain,
% 0.74/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl152, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl197, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl152])).
% 0.74/0.86 thf(zip_derived_cl311, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl197])).
% 0.74/0.86 thf(prove_these_axioms, conjecture,
% 0.74/0.86 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 0.74/0.86 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.74/0.86 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.74/0.86 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 0.74/0.86 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.74/0.86 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 0.74/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.74/0.86 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 0.74/0.86 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.74/0.86 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.74/0.86 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 0.74/0.86 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.74/0.86 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 0.74/0.86 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 0.74/0.86 thf(zip_derived_cl1, plain,
% 0.74/0.86 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.74/0.86 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.74/0.86 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.74/0.86 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 0.74/0.86 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 0.74/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl105, plain,
% 0.74/0.86 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.74/0.86 | ((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.74/0.86 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.74/0.86 | ((multiply @ (inverse @ b2) @ (multiply @ b2 @ a2)) != (a2))
% 0.74/0.86 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 0.74/0.86 inference('demod', [status(thm)],
% 0.74/0.86 [zip_derived_cl1, zip_derived_cl79, zip_derived_cl79])).
% 0.74/0.86 thf(zip_derived_cl106, plain,
% 0.74/0.86 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 0.74/0.86 | ((multiply @ (inverse @ b2) @ (multiply @ b2 @ a2)) != (a2))
% 0.74/0.86 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 0.74/0.86 inference('simplify', [status(thm)], [zip_derived_cl105])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl197, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl152])).
% 0.74/0.86 thf(zip_derived_cl313, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl197])).
% 0.74/0.86 thf(zip_derived_cl313, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl197])).
% 0.74/0.86 thf(zip_derived_cl313, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl197])).
% 0.74/0.86 thf(zip_derived_cl326, plain,
% 0.74/0.86 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 0.74/0.86 | ((multiply @ (inverse @ b2) @ (multiply @ b2 @ a2)) != (a2))
% 0.74/0.86 | ((multiply @ a4 @ b4) != (multiply @ a4 @ b4)))),
% 0.74/0.86 inference('demod', [status(thm)],
% 0.74/0.86 [zip_derived_cl106, zip_derived_cl313, zip_derived_cl313,
% 0.74/0.86 zip_derived_cl313])).
% 0.74/0.86 thf(zip_derived_cl327, plain,
% 0.74/0.86 ((((multiply @ (inverse @ b2) @ (multiply @ b2 @ a2)) != (a2))
% 0.74/0.86 | ((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1))))),
% 0.74/0.86 inference('simplify', [status(thm)], [zip_derived_cl326])).
% 0.74/0.86 thf(zip_derived_cl181, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 0.74/0.86 inference('demod', [status(thm)],
% 0.74/0.86 [zip_derived_cl63, zip_derived_cl135, zip_derived_cl79,
% 0.74/0.86 zip_derived_cl135, zip_derived_cl142, zip_derived_cl135,
% 0.74/0.86 zip_derived_cl142])).
% 0.74/0.86 thf(zip_derived_cl73, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl279, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X0) = (X0))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl135, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.74/0.86 = (inverse @ (multiply @ X1 @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl73])).
% 0.74/0.86 thf(zip_derived_cl142, plain,
% 0.74/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.74/0.86 thf(zip_derived_cl79, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.74/0.86 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.74/0.86 thf(zip_derived_cl294, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 0.74/0.86 inference('demod', [status(thm)],
% 0.74/0.86 [zip_derived_cl279, zip_derived_cl135, zip_derived_cl142,
% 0.74/0.86 zip_derived_cl79])).
% 0.74/0.86 thf(zip_derived_cl348, plain,
% 0.74/0.86 ((((a2) != (a2))
% 0.74/0.86 | ((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1))))),
% 0.74/0.86 inference('demod', [status(thm)], [zip_derived_cl327, zip_derived_cl294])).
% 0.74/0.86 thf(zip_derived_cl349, plain,
% 0.74/0.86 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))),
% 0.74/0.86 inference('simplify', [status(thm)], [zip_derived_cl348])).
% 0.74/0.86 thf(zip_derived_cl389, plain,
% 0.74/0.86 (![X0 : $i]:
% 0.74/0.86 ((multiply @ a1 @ (inverse @ a1)) != (multiply @ X0 @ (inverse @ X0)))),
% 0.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl349])).
% 0.74/0.86 thf(zip_derived_cl311, plain,
% 0.74/0.86 (![X0 : $i, X1 : $i]:
% 0.74/0.86 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 0.74/0.86 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl197])).
% 0.74/0.86 thf(zip_derived_cl417, plain, ($false),
% 0.74/0.86 inference('simplify_reflect+', [status(thm)],
% 0.74/0.86 [zip_derived_cl389, zip_derived_cl311])).
% 0.74/0.86
% 0.74/0.86 % SZS output end Refutation
% 0.74/0.86
% 0.74/0.86
% 0.74/0.86 % Terminating...
% 1.03/1.00 % Runner terminated.
% 1.03/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------