%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO002-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7C2EJON9W4 true
% Computer : n019.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 04:29:43 PM UTC 2025
% Result : Unsatisfiable 8.77s 1.87s
% Output : Refutation 8.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO002-1 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7C2EJON9W4 true
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:56:08 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.60/0.65 % Total configuration time : 435
% 0.60/0.65 % Estimated wc time : 1092
% 0.60/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.77/1.87 % Solved by fo/fo7.sh.
% 8.77/1.87 % done 147 iterations in 1.083s
% 8.77/1.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.77/1.87 % SZS output start Refutation
% 8.77/1.87 thf(multiply_type, type, multiply: $i > $i > $i > $i).
% 8.77/1.87 thf(b_type, type, b: $i).
% 8.77/1.87 thf(inverse_type, type, inverse: $i > $i).
% 8.77/1.87 thf(a_type, type, a: $i).
% 8.77/1.87 thf(prove_equation, conjecture,
% 8.77/1.87 (( multiply @ a @ ( inverse @ a ) @ b ) = ( b ))).
% 8.77/1.87 thf(zf_stmt_0, negated_conjecture,
% 8.77/1.87 (( multiply @ a @ ( inverse @ a ) @ b ) != ( b )),
% 8.77/1.87 inference('cnf.neg', [status(esa)], [prove_equation])).
% 8.77/1.87 thf(zip_derived_cl4, plain, (((multiply @ a @ (inverse @ a) @ b) != (b))),
% 8.77/1.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.77/1.87 thf(ternary_multiply_2, axiom, (( multiply @ X @ X @ Y ) = ( X ))).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(ternary_multiply_1, axiom, (( multiply @ Y @ X @ X ) = ( X ))).
% 8.77/1.87 thf(zip_derived_cl1, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 8.77/1.87 thf(associativity, axiom,
% 8.77/1.87 (( multiply @ ( multiply @ V @ W @ X ) @ Y @ ( multiply @ V @ W @ Z ) ) =
% 8.77/1.87 ( multiply @ V @ W @ ( multiply @ X @ Y @ Z ) ))).
% 8.77/1.87 thf(zip_derived_cl0, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 8.77/1.87 (multiply @ X0 @ X1 @ X4))
% 8.77/1.87 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 8.77/1.87 inference('cnf', [status(esa)], [associativity])).
% 8.77/1.87 thf(zip_derived_cl9, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 8.77/1.87 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(left_inverse, axiom, (( multiply @ ( inverse @ Y ) @ Y @ X ) = ( X ))).
% 8.77/1.87 thf(zip_derived_cl3, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ (inverse @ X1) @ X1 @ X0) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [left_inverse])).
% 8.77/1.87 thf(zip_derived_cl9, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 8.77/1.87 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl9, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 8.77/1.87 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl29, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)) @ X4 @
% 8.77/1.87 X1)
% 8.77/1.87 = (multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @
% 8.77/1.87 (multiply @ X0 @ X4 @ X1)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl9])).
% 8.77/1.87 thf(zip_derived_cl634, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X3 @ X0 @ X0) @ X2 @ X1)
% 8.77/1.87 = (multiply @ (multiply @ X3 @ X0 @ (inverse @ X1)) @ X1 @
% 8.77/1.87 (multiply @ X0 @ X2 @ X1)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl29])).
% 8.77/1.87 thf(zip_derived_cl1, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 8.77/1.87 thf(zip_derived_cl657, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ X0 @ X2 @ X1)
% 8.77/1.87 = (multiply @ (multiply @ X3 @ X0 @ (inverse @ X1)) @ X1 @
% 8.77/1.87 (multiply @ X0 @ X2 @ X1)))),
% 8.77/1.87 inference('demod', [status(thm)], [zip_derived_cl634, zip_derived_cl1])).
% 8.77/1.87 thf(zip_derived_cl2512, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((multiply @ X0 @ X0 @ X1)
% 8.77/1.87 = (multiply @ (multiply @ X2 @ X0 @ (inverse @ X1)) @ X1 @ X0))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl657])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(zip_derived_cl2557, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((X0) = (multiply @ (multiply @ X2 @ X0 @ (inverse @ X1)) @ X1 @ X0))),
% 8.77/1.87 inference('demod', [status(thm)], [zip_derived_cl2512, zip_derived_cl2])).
% 8.77/1.87 thf(zip_derived_cl2668, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((X1)
% 8.77/1.87 = (multiply @
% 8.77/1.87 (multiply @ X3 @ (inverse @ X0) @
% 8.77/1.87 (multiply @ X2 @ X1 @ (inverse @ X0))) @
% 8.77/1.87 X0 @ X1))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2557])).
% 8.77/1.87 thf(zip_derived_cl3128, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((X0) = (multiply @ (multiply @ X2 @ (inverse @ X1) @ X0) @ X1 @ X0))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2668])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(zip_derived_cl0, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 8.77/1.87 (multiply @ X0 @ X1 @ X4))
% 8.77/1.87 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 8.77/1.87 inference('cnf', [status(esa)], [associativity])).
% 8.77/1.87 thf(zip_derived_cl8, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ X2 @ X1 @ X0)
% 8.77/1.87 = (multiply @ X2 @ X1 @
% 8.77/1.87 (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X3)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(zip_derived_cl0, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 8.77/1.87 (multiply @ X0 @ X1 @ X4))
% 8.77/1.87 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 8.77/1.87 inference('cnf', [status(esa)], [associativity])).
% 8.77/1.87 thf(zip_derived_cl10, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X0 @ X0 @ X3) @ X2 @ X0)
% 8.77/1.87 = (multiply @ X0 @ X0 @ (multiply @ X3 @ X2 @ X1)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(zip_derived_cl2, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 8.77/1.87 thf(zip_derived_cl17, plain,
% 8.77/1.87 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2 @ X0) = (X0))),
% 8.77/1.87 inference('demod', [status(thm)],
% 8.77/1.87 [zip_derived_cl10, zip_derived_cl2, zip_derived_cl2])).
% 8.77/1.87 thf(zip_derived_cl9, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 8.77/1.87 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl32, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((multiply @ X0 @ X2 @ X1)
% 8.77/1.87 = (multiply @ X0 @ X1 @ (multiply @ X0 @ X2 @ X1)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl9])).
% 8.77/1.87 thf(zip_derived_cl8, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ X2 @ X1 @ X0)
% 8.77/1.87 = (multiply @ X2 @ X1 @
% 8.77/1.87 (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X3)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl445, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ X2 @ X1 @ X0)
% 8.77/1.87 = (multiply @ X2 @ X1 @
% 8.77/1.87 (multiply @ X0 @ X3 @ (multiply @ X2 @ X1 @ X0))))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl8])).
% 8.77/1.87 thf(zip_derived_cl807, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X2)
% 8.77/1.87 = (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @
% 8.77/1.87 (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl445])).
% 8.77/1.87 thf(zip_derived_cl1, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 8.77/1.87 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 8.77/1.87 thf(zip_derived_cl842, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X2)
% 8.77/1.87 = (multiply @ X2 @ X1 @ X0))),
% 8.77/1.87 inference('demod', [status(thm)], [zip_derived_cl807, zip_derived_cl1])).
% 8.77/1.87 thf(zip_derived_cl17, plain,
% 8.77/1.87 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2 @ X0) = (X0))),
% 8.77/1.87 inference('demod', [status(thm)],
% 8.77/1.87 [zip_derived_cl10, zip_derived_cl2, zip_derived_cl2])).
% 8.77/1.87 thf(zip_derived_cl0, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 8.77/1.87 (multiply @ X0 @ X1 @ X4))
% 8.77/1.87 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 8.77/1.87 inference('cnf', [status(esa)], [associativity])).
% 8.77/1.87 thf(zip_derived_cl22, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X0 @ X3 @ X2) @ X1 @ X0)
% 8.77/1.87 = (multiply @ X0 @ X3 @ (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 8.77/1.87 thf(zip_derived_cl915, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.77/1.87 ((multiply @ (multiply @ X2 @ X1 @ X0) @ X3 @ X0)
% 8.77/1.87 = (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @
% 8.77/1.87 (multiply @ X2 @ X3 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl22])).
% 8.77/1.87 thf(zip_derived_cl3234, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((X0)
% 8.77/1.87 = (multiply @ X0 @ (multiply @ X2 @ (inverse @ X1) @ X0) @
% 8.77/1.87 (multiply @ X2 @ X1 @ X0)))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl3128, zip_derived_cl915])).
% 8.77/1.87 thf(zip_derived_cl3347, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]:
% 8.77/1.87 ((X1) = (multiply @ X1 @ (multiply @ X0 @ (inverse @ X0) @ X1) @ X0))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3234])).
% 8.77/1.87 thf(zip_derived_cl842, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.77/1.87 ((multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X2)
% 8.77/1.87 = (multiply @ X2 @ X1 @ X0))),
% 8.77/1.87 inference('demod', [status(thm)], [zip_derived_cl807, zip_derived_cl1])).
% 8.77/1.87 thf(zip_derived_cl3531, plain,
% 8.77/1.87 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ X1 @ (inverse @ X1) @ X0))),
% 8.77/1.87 inference('sup+', [status(thm)], [zip_derived_cl3347, zip_derived_cl842])).
% 8.77/1.87 thf(zip_derived_cl3606, plain, (((b) != (b))),
% 8.77/1.87 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl3531])).
% 8.77/1.87 thf(zip_derived_cl3607, plain, ($false),
% 8.77/1.87 inference('simplify', [status(thm)], [zip_derived_cl3606])).
% 8.77/1.87
% 8.77/1.87 % SZS output end Refutation
% 8.77/1.87
% 8.77/1.87
% 8.77/1.87 % Terminating...
% 9.43/1.98 % Runner terminated.
% 9.43/1.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------