TSTP Solution File: GRP093-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP093-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AMgBL8xzFf true
% Computer : n015.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 01:49:54 EDT 2023
% Result : Unsatisfiable 1.23s 1.16s
% Output : Refutation 1.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP093-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AMgBL8xzFf true
% 0.13/0.34 % Computer : n015.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 : Tue Aug 29 01:37:40 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
% 0.20/0.34 % Number of cores: 8
% 0.20/0.34 % Python version: Python 3.6.8
% 0.20/0.34 % Running in FO mode
% 0.21/0.58 % Total configuration time : 435
% 0.21/0.58 % Estimated wc time : 1092
% 0.21/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.23/1.16 % Solved by fo/fo13.sh.
% 1.23/1.16 % done 296 iterations in 0.447s
% 1.23/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.23/1.16 % SZS output start Refutation
% 1.23/1.16 thf(b2_type, type, b2: $i).
% 1.23/1.16 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.23/1.16 thf(a3_type, type, a3: $i).
% 1.23/1.16 thf(b1_type, type, b1: $i).
% 1.23/1.16 thf(a1_type, type, a1: $i).
% 1.23/1.16 thf(identity_type, type, identity: $i).
% 1.23/1.16 thf(divide_type, type, divide: $i > $i > $i).
% 1.23/1.16 thf(inverse_type, type, inverse: $i > $i).
% 1.23/1.16 thf(c3_type, type, c3: $i).
% 1.23/1.16 thf(b3_type, type, b3: $i).
% 1.23/1.16 thf(b4_type, type, b4: $i).
% 1.23/1.16 thf(a2_type, type, a2: $i).
% 1.23/1.16 thf(a4_type, type, a4: $i).
% 1.23/1.16 thf(prove_these_axioms, conjecture,
% 1.23/1.16 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.23/1.16 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.23/1.16 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.23/1.16 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.23/1.16 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.23/1.16 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 1.23/1.16 thf(zf_stmt_0, negated_conjecture,
% 1.23/1.16 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.23/1.16 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.23/1.16 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.23/1.16 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.23/1.16 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.23/1.16 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 1.23/1.16 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.23/1.16 thf(zip_derived_cl4, plain,
% 1.23/1.16 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.23/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.23/1.16 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 1.23/1.16 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.23/1.16 thf(inverse, axiom, (( inverse @ X ) = ( divide @ identity @ X ))).
% 1.23/1.16 thf(zip_derived_cl2, plain,
% 1.23/1.16 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [inverse])).
% 1.23/1.16 thf(zip_derived_cl2, plain,
% 1.23/1.16 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [inverse])).
% 1.23/1.16 thf(zip_derived_cl2, plain,
% 1.23/1.16 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [inverse])).
% 1.23/1.16 thf(zip_derived_cl5, plain,
% 1.23/1.16 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.23/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.23/1.16 | ((multiply @ (multiply @ (divide @ identity @ b2) @ b2) @ a2) != (a2))
% 1.23/1.16 | ((multiply @ (divide @ identity @ a1) @ a1)
% 1.23/1.16 != (multiply @ (divide @ identity @ b1) @ b1)))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl4, zip_derived_cl2, zip_derived_cl2,
% 1.23/1.16 zip_derived_cl2])).
% 1.23/1.16 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 1.23/1.16 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [identity])).
% 1.23/1.16 thf(multiply, axiom,
% 1.23/1.16 (( multiply @ X @ Y ) = ( divide @ X @ ( divide @ identity @ Y ) ))).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl20, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl20, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl20, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl31, plain,
% 1.23/1.16 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.23/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.23/1.16 | ((multiply @ identity @ a2) != (a2))
% 1.23/1.16 | ((identity) != (identity)))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl5, zip_derived_cl20, zip_derived_cl20,
% 1.23/1.16 zip_derived_cl20])).
% 1.23/1.16 thf(zip_derived_cl32, plain,
% 1.23/1.16 ((((multiply @ identity @ a2) != (a2))
% 1.23/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.23/1.16 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 1.23/1.16 inference('simplify', [status(thm)], [zip_derived_cl31])).
% 1.23/1.16 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [identity])).
% 1.23/1.16 thf(single_axiom, axiom,
% 1.23/1.16 (( divide @
% 1.23/1.16 ( divide @
% 1.23/1.16 identity @ ( divide @ ( divide @ ( divide @ X @ Y ) @ Z ) @ X ) ) @
% 1.23/1.16 Z ) =
% 1.23/1.16 ( Y ))).
% 1.23/1.16 thf(zip_derived_cl0, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @
% 1.23/1.16 (divide @ identity @
% 1.23/1.16 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 1.23/1.16 X2) = (X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [single_axiom])).
% 1.23/1.16 thf(zip_derived_cl13, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ (divide @ identity @ (divide @ identity @ X1)) @
% 1.23/1.16 (divide @ X1 @ X0)) = (X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl14, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ (multiply @ identity @ X1) @ (divide @ X1 @ X0)) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl64, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ (multiply @ identity @ identity) @ X0) = (X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [identity])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl21, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [identity])).
% 1.23/1.16 thf(zip_derived_cl25, plain,
% 1.23/1.16 (((identity) = (multiply @ identity @ identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 1.23/1.16 thf(zip_derived_cl71, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl25])).
% 1.23/1.16 thf(zip_derived_cl73, plain,
% 1.23/1.16 ((((a2) != (a2))
% 1.23/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.23/1.16 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl71])).
% 1.23/1.16 thf(zip_derived_cl74, plain,
% 1.23/1.16 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.23/1.16 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.23/1.16 inference('simplify', [status(thm)], [zip_derived_cl73])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [identity])).
% 1.23/1.16 thf(zip_derived_cl14, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ (multiply @ identity @ X1) @ (divide @ X1 @ X0)) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl71, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl25])).
% 1.23/1.16 thf(zip_derived_cl72, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl71])).
% 1.23/1.16 thf(zip_derived_cl82, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl72])).
% 1.23/1.16 thf(zip_derived_cl0, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @
% 1.23/1.16 (divide @ identity @
% 1.23/1.16 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 1.23/1.16 X2) = (X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [single_axiom])).
% 1.23/1.16 thf(zip_derived_cl0, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @
% 1.23/1.16 (divide @ identity @
% 1.23/1.16 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 1.23/1.16 X2) = (X0))),
% 1.23/1.16 inference('cnf', [status(esa)], [single_axiom])).
% 1.23/1.16 thf(zip_derived_cl7, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @ (divide @ identity @ (divide @ X0 @ identity)) @ X2)
% 1.23/1.16 = (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.23/1.16 thf(zip_derived_cl21, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl38, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @ (divide @ identity @ (multiply @ X0 @ identity)) @ X2)
% 1.23/1.16 = (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 1.23/1.16 thf(zip_derived_cl88, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ (divide @ identity @ (multiply @ identity @ identity)) @ X1)
% 1.23/1.16 = (divide @ (divide @ X0 @ X1) @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl38])).
% 1.23/1.16 thf(zip_derived_cl71, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl25])).
% 1.23/1.16 thf(zip_derived_cl82, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl72])).
% 1.23/1.16 thf(zip_derived_cl94, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ identity @ X1) = (divide @ (divide @ X0 @ X1) @ X0))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl88, zip_derived_cl71, zip_derived_cl82])).
% 1.23/1.16 thf(zip_derived_cl177, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ identity @ (divide @ identity @ X0))
% 1.23/1.16 = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl94])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl71, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl25])).
% 1.23/1.16 thf(zip_derived_cl183, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl177, zip_derived_cl1, zip_derived_cl71])).
% 1.23/1.16 thf(zip_derived_cl183, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl177, zip_derived_cl1, zip_derived_cl71])).
% 1.23/1.16 thf(zip_derived_cl72, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl71])).
% 1.23/1.16 thf(zip_derived_cl186, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl72])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl201, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ (multiply @ X0 @ (divide @ identity @ X1)) @ X1) = (X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl72, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl71])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl80, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X1 @ (divide @ identity @ X0)) = (divide @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl208, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl80])).
% 1.23/1.16 thf(zip_derived_cl223, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl223, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl226, plain,
% 1.23/1.16 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 1.23/1.16 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl74, zip_derived_cl223, zip_derived_cl223])).
% 1.23/1.16 thf(zip_derived_cl227, plain,
% 1.23/1.16 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.23/1.16 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl38, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @ (divide @ identity @ (multiply @ X0 @ identity)) @ X2)
% 1.23/1.16 = (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 1.23/1.16 thf(zip_derived_cl45, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @ (divide @ identity @ (multiply @ X1 @ identity)) @
% 1.23/1.16 (divide @ identity @ X0))
% 1.23/1.16 = (divide @ (multiply @ (divide @ X2 @ X1) @ X0) @ X2))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl38])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl52, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((multiply @ (divide @ identity @ (multiply @ X1 @ identity)) @ X0)
% 1.23/1.16 = (divide @ (multiply @ (divide @ X2 @ X1) @ X0) @ X2))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl21, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl82, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl72])).
% 1.23/1.16 thf(zip_derived_cl87, plain,
% 1.23/1.16 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl82])).
% 1.23/1.16 thf(zip_derived_cl94, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((divide @ identity @ X1) = (divide @ (divide @ X0 @ X1) @ X0))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl88, zip_derived_cl71, zip_derived_cl82])).
% 1.23/1.16 thf(zip_derived_cl208, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl80])).
% 1.23/1.16 thf(zip_derived_cl221, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ (divide @ identity @ X0) @ X1) = (divide @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl545, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((divide @ X0 @ X1)
% 1.23/1.16 = (divide @ (multiply @ (divide @ X2 @ X1) @ X0) @ X2))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl52, zip_derived_cl87, zip_derived_cl221])).
% 1.23/1.16 thf(zip_derived_cl208, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl80])).
% 1.23/1.16 thf(zip_derived_cl553, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((multiply @ (divide @ X1 @ X0) @ X2)
% 1.23/1.16 = (multiply @ (divide @ X2 @ X0) @ X1))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl545, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl613, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.23/1.16 = (multiply @ (divide @ X2 @ (divide @ identity @ X0)) @ X1))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl553])).
% 1.23/1.16 thf(zip_derived_cl1, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]:
% 1.23/1.16 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.23/1.16 inference('cnf', [status(esa)], [multiply])).
% 1.23/1.16 thf(zip_derived_cl637, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.23/1.16 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 1.23/1.16 inference('demod', [status(thm)], [zip_derived_cl613, zip_derived_cl1])).
% 1.23/1.16 thf(zip_derived_cl223, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl650, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.23/1.16 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl637, zip_derived_cl223])).
% 1.23/1.16 thf(zip_derived_cl223, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl2120, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/1.16 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 1.23/1.16 = (multiply @ X1 @ (multiply @ X2 @ X0)))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl650, zip_derived_cl223])).
% 1.23/1.16 thf(zip_derived_cl223, plain,
% 1.23/1.16 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.23/1.16 inference('s_sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl208])).
% 1.23/1.16 thf(zip_derived_cl2333, plain,
% 1.23/1.16 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.23/1.16 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.23/1.16 inference('demod', [status(thm)],
% 1.23/1.16 [zip_derived_cl227, zip_derived_cl2120, zip_derived_cl223])).
% 1.23/1.16 thf(zip_derived_cl2334, plain, ($false),
% 1.23/1.16 inference('simplify', [status(thm)], [zip_derived_cl2333])).
% 1.23/1.16
% 1.23/1.16 % SZS output end Refutation
% 1.23/1.16
% 1.23/1.16
% 1.23/1.17 % Terminating...
% 1.73/1.22 % Runner terminated.
% 1.73/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------