%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO070-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ahk2fAUzNg true
% Computer : n016.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 04:29:52 PM UTC 2025
% Result : Unsatisfiable 12.77s 2.40s
% Output : Refutation 12.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO070-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ahk2fAUzNg true
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:55:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.46/0.57 % Total configuration time : 435
% 0.46/0.57 % Estimated wc time : 1092
% 0.46/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.77/2.40 % Solved by fo/fo5.sh.
% 12.77/2.40 % done 111 iterations in 1.675s
% 12.77/2.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.77/2.40 % SZS output start Refutation
% 12.77/2.40 thf(a_type, type, a: $i).
% 12.77/2.40 thf(multiply_type, type, multiply: $i > $i > $i > $i).
% 12.77/2.40 thf(inverse_type, type, inverse: $i > $i).
% 12.77/2.40 thf(b_type, type, b: $i).
% 12.77/2.40 thf(prove_tba_axioms_4, conjecture, (( multiply @ a @ a @ b ) = ( a ))).
% 12.77/2.40 thf(zf_stmt_0, negated_conjecture, (( multiply @ a @ a @ b ) != ( a )),
% 12.77/2.40 inference('cnf.neg', [status(esa)], [prove_tba_axioms_4])).
% 12.77/2.40 thf(zip_derived_cl1, plain, (((multiply @ a @ a @ b) != (a))),
% 12.77/2.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.77/2.40 thf(single_axiom, axiom,
% 12.77/2.40 (( multiply @
% 12.77/2.40 ( multiply @ A @ ( inverse @ A ) @ B ) @
% 12.77/2.40 ( inverse @
% 12.77/2.40 ( multiply @ ( multiply @ C @ D @ E ) @ F @ ( multiply @ C @ D @ G ) ) ) @
% 12.77/2.40 ( multiply @ D @ ( multiply @ G @ F @ E ) @ C ) ) =
% 12.77/2.40 ( B ))).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl5, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 12.77/2.40 X7 : $i, X8 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X2 @ X1 @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X4 @ X8 @ X5) @ X6 @
% 12.77/2.40 (multiply @ X4 @ X8 @ X7))) @
% 12.77/2.40 (multiply @ X8 @ (multiply @ X7 @ X6 @ X5) @ X4))
% 12.77/2.40 = (multiply @ X1 @
% 12.77/2.40 (multiply @ X0 @ (inverse @ (multiply @ X2 @ X1 @ X3)) @ X3) @ X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl35, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @
% 12.77/2.40 (inverse @ (multiply @ X0 @ (inverse @ X0) @ X1)) @ X1) @
% 12.77/2.40 X0) = (X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl64, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X4 @ (inverse @ X4) @ X1) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ (inverse @ X2) @ X3) @
% 12.77/2.40 (inverse @ (multiply @ X2 @ (inverse @ X2) @ X3)) @
% 12.77/2.40 (multiply @ X2 @ (inverse @ X2) @ X0))) @
% 12.77/2.40 X0) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl4, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 12.77/2.40 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X10 @ (inverse @ X10) @ X1) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @
% 12.77/2.40 (multiply @ X2 @ X9 @
% 12.77/2.40 (multiply @ X7 @ (multiply @ X6 @ X5 @ X4) @ X3)) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X3 @ X7 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X3 @ X7 @ X6))) @
% 12.77/2.40 (multiply @ X2 @ X9 @ (multiply @ X8 @ (inverse @ X8) @ X0)))) @
% 12.77/2.40 (multiply @ X9 @ X0 @ X2)) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl882, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X6 @ (inverse @ X6) @ X5) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (inverse @ X0) @
% 12.77/2.40 (multiply @
% 12.77/2.40 (multiply @ X4 @ (inverse @ X4) @
% 12.77/2.40 (multiply @ X3 @ (inverse @ X3) @ X2)) @
% 12.77/2.40 (inverse @ (multiply @ X0 @ (inverse @ X0) @ X1)) @ X1) @
% 12.77/2.40 X0)) @
% 12.77/2.40 (multiply @ (inverse @ X4) @ X2 @ X4)) = (X5))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl4])).
% 12.77/2.40 thf(zip_derived_cl35, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @
% 12.77/2.40 (inverse @ (multiply @ X0 @ (inverse @ X0) @ X1)) @ X1) @
% 12.77/2.40 X0) = (X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl972, plain,
% 12.77/2.40 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X6 @ (inverse @ X6) @ X5) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ X4 @ (inverse @ X4) @
% 12.77/2.40 (multiply @ X3 @ (inverse @ X3) @ X2))) @
% 12.77/2.40 (multiply @ (inverse @ X4) @ X2 @ X4)) = (X5))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl882, zip_derived_cl35])).
% 12.77/2.40 thf(zip_derived_cl972, plain,
% 12.77/2.40 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X6 @ (inverse @ X6) @ X5) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ X4 @ (inverse @ X4) @
% 12.77/2.40 (multiply @ X3 @ (inverse @ X3) @ X2))) @
% 12.77/2.40 (multiply @ (inverse @ X4) @ X2 @ X4)) = (X5))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl882, zip_derived_cl35])).
% 12.77/2.40 thf(zip_derived_cl1084, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ X3 @ (inverse @ X3) @
% 12.77/2.40 (multiply @ X5 @ (inverse @ X5) @ X4))) @
% 12.77/2.40 (multiply @ (inverse @ X3) @ X4 @ X3))
% 12.77/2.40 = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl972, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl972, plain,
% 12.77/2.40 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X6 @ (inverse @ X6) @ X5) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ X4 @ (inverse @ X4) @
% 12.77/2.40 (multiply @ X3 @ (inverse @ X3) @ X2))) @
% 12.77/2.40 (multiply @ (inverse @ X4) @ X2 @ X4)) = (X5))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl882, zip_derived_cl35])).
% 12.77/2.40 thf(zip_derived_cl1088, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((X0) = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl35, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @
% 12.77/2.40 (inverse @ (multiply @ X0 @ (inverse @ X0) @ X1)) @ X1) @
% 12.77/2.40 X0) = (X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl1193, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X2 @ (inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) @
% 12.77/2.40 X0) = (X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1088, zip_derived_cl35])).
% 12.77/2.40 thf(zip_derived_cl1088, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((X0) = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl1288, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) = (inverse @ X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl1088])).
% 12.77/2.40 thf(zip_derived_cl1193, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X2 @ (inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) @
% 12.77/2.40 X0) = (X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1088, zip_derived_cl35])).
% 12.77/2.40 thf(zip_derived_cl1288, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) = (inverse @ X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl1088])).
% 12.77/2.40 thf(zip_derived_cl1328, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((multiply @ X2 @ (inverse @ X0) @ X0) = (X2))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl1193, zip_derived_cl1288])).
% 12.77/2.40 thf(zip_derived_cl1442, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X1 @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @ (inverse @ X2) @ X0)) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1288, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl0, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X1 @ (inverse @ X1) @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X2 @ X3 @ X4) @ X5 @
% 12.77/2.40 (multiply @ X2 @ X3 @ X6))) @
% 12.77/2.40 (multiply @ X3 @ (multiply @ X6 @ X5 @ X4) @ X2)) = (X0))),
% 12.77/2.40 inference('cnf', [status(esa)], [single_axiom])).
% 12.77/2.40 thf(zip_derived_cl1773, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X4 @ (inverse @ X4) @ X2) @
% 12.77/2.40 (inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) @
% 12.77/2.40 (multiply @ (inverse @ X1) @
% 12.77/2.40 (multiply @ X3 @ (inverse @ X3) @ X0) @ X1))
% 12.77/2.40 = (X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1442, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl1288, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) = (inverse @ X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl1088])).
% 12.77/2.40 thf(zip_derived_cl1088, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((X0) = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl1442, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X1 @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @ (inverse @ X2) @ X0)) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1288, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl1820, plain,
% 12.77/2.40 (![X2 : $i, X4 : $i]: ((multiply @ X4 @ (inverse @ X4) @ X2) = (X2))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl1773, zip_derived_cl1288, zip_derived_cl1088,
% 12.77/2.40 zip_derived_cl1442])).
% 12.77/2.40 thf(zip_derived_cl1088, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((X0) = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl1288, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) = (inverse @ X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl1088])).
% 12.77/2.40 thf(zip_derived_cl1356, plain,
% 12.77/2.40 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1088, zip_derived_cl1288])).
% 12.77/2.40 thf(zip_derived_cl1328, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((multiply @ X2 @ (inverse @ X0) @ X0) = (X2))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl1193, zip_derived_cl1288])).
% 12.77/2.40 thf(zip_derived_cl1443, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((multiply @ X1 @ (inverse @ X0) @ (inverse @ (inverse @ X0))) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1356, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl1845, plain,
% 12.77/2.40 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1820, zip_derived_cl1443])).
% 12.77/2.40 thf(zip_derived_cl1088, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((X0) = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl1860, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]: ((X1) = (multiply @ X0 @ X1 @ (inverse @ X0)))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1845, zip_derived_cl1088])).
% 12.77/2.40 thf(zip_derived_cl1820, plain,
% 12.77/2.40 (![X2 : $i, X4 : $i]: ((multiply @ X4 @ (inverse @ X4) @ X2) = (X2))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl1773, zip_derived_cl1288, zip_derived_cl1088,
% 12.77/2.40 zip_derived_cl1442])).
% 12.77/2.40 thf(zip_derived_cl1442, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X1 @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @ (inverse @ X2) @ X0)) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1288, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl5, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 12.77/2.40 X7 : $i, X8 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X2 @ X1 @ X0) @
% 12.77/2.40 (inverse @
% 12.77/2.40 (multiply @ (multiply @ X4 @ X8 @ X5) @ X6 @
% 12.77/2.40 (multiply @ X4 @ X8 @ X7))) @
% 12.77/2.40 (multiply @ X8 @ (multiply @ X7 @ X6 @ X5) @ X4))
% 12.77/2.40 = (multiply @ X1 @
% 12.77/2.40 (multiply @ X0 @ (inverse @ (multiply @ X2 @ X1 @ X3)) @ X3) @ X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 12.77/2.40 thf(zip_derived_cl1779, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 12.77/2.40 ((multiply @ (multiply @ X2 @ X4 @ X5) @
% 12.77/2.40 (inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) @
% 12.77/2.40 (multiply @ (inverse @ X1) @
% 12.77/2.40 (multiply @ X6 @ (inverse @ X6) @ X0) @ X1))
% 12.77/2.40 = (multiply @ X4 @
% 12.77/2.40 (multiply @ X5 @ (inverse @ (multiply @ X2 @ X4 @ X3)) @ X3) @ X2))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1442, zip_derived_cl5])).
% 12.77/2.40 thf(zip_derived_cl1288, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((inverse @ (multiply @ X1 @ (inverse @ X1) @ X0)) = (inverse @ X0))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1193, zip_derived_cl1088])).
% 12.77/2.40 thf(zip_derived_cl1088, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((X0) = (multiply @ (inverse @ X2) @ X0 @ X2))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl972])).
% 12.77/2.40 thf(zip_derived_cl1442, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X1 @ (inverse @ X0) @
% 12.77/2.40 (multiply @ X2 @ (inverse @ X2) @ X0)) = (X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1288, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl1826, plain,
% 12.77/2.40 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.77/2.40 ((multiply @ X2 @ X4 @ X5)
% 12.77/2.40 = (multiply @ X4 @
% 12.77/2.40 (multiply @ X5 @ (inverse @ (multiply @ X2 @ X4 @ X3)) @ X3) @ X2))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl1779, zip_derived_cl1288, zip_derived_cl1088,
% 12.77/2.40 zip_derived_cl1442])).
% 12.77/2.40 thf(zip_derived_cl2183, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X1 @ X2 @ (multiply @ X1 @ X2 @ X0))
% 12.77/2.40 = (multiply @ X2 @ X0 @ X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1820, zip_derived_cl1826])).
% 12.77/2.40 thf(zip_derived_cl2223, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((multiply @ X1 @ X0 @ X0) = (multiply @ X0 @ (inverse @ X1) @ X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1860, zip_derived_cl2183])).
% 12.77/2.40 thf(zip_derived_cl1328, plain,
% 12.77/2.40 (![X0 : $i, X2 : $i]: ((multiply @ X2 @ (inverse @ X0) @ X0) = (X2))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl1193, zip_derived_cl1288])).
% 12.77/2.40 thf(zip_derived_cl2232, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl2223, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl2183, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.77/2.40 ((multiply @ X1 @ X2 @ (multiply @ X1 @ X2 @ X0))
% 12.77/2.40 = (multiply @ X2 @ X0 @ X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl1820, zip_derived_cl1826])).
% 12.77/2.40 thf(zip_derived_cl2253, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]:
% 12.77/2.40 ((multiply @ X1 @ X0 @ X0) = (multiply @ X0 @ X0 @ X1))),
% 12.77/2.40 inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl2183])).
% 12.77/2.40 thf(zip_derived_cl2232, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl2223, zip_derived_cl1328])).
% 12.77/2.40 thf(zip_derived_cl2262, plain,
% 12.77/2.40 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ X0 @ X0 @ X1))),
% 12.77/2.40 inference('demod', [status(thm)],
% 12.77/2.40 [zip_derived_cl2253, zip_derived_cl2232])).
% 12.77/2.40 thf(zip_derived_cl2297, plain, (((a) != (a))),
% 12.77/2.40 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2262])).
% 12.77/2.40 thf(zip_derived_cl2298, plain, ($false),
% 12.77/2.40 inference('simplify', [status(thm)], [zip_derived_cl2297])).
% 12.77/2.40
% 12.77/2.40 % SZS output end Refutation
% 12.77/2.40
% 12.77/2.40
% 12.77/2.40 % Terminating...
% 13.35/2.51 % Runner terminated.
% 13.35/2.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------