TSTP Solution File: HEN010-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f7evEp5xmx true
% Computer : n032.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 01:57:52 EDT 2023
% Result : Unsatisfiable 2.22s 0.84s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f7evEp5xmx true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 13:35:56 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.15/0.30 % Running in FO mode
% 0.15/0.48 % Total configuration time : 435
% 0.15/0.48 % Estimated wc time : 1092
% 0.15/0.48 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.56 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.59 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.22/0.84 % Solved by fo/fo6_bce.sh.
% 2.22/0.84 % BCE start: 22
% 2.22/0.84 % BCE eliminated: 0
% 2.22/0.84 % PE start: 22
% 2.22/0.84 logic: eq
% 2.22/0.84 % PE eliminated: 0
% 2.22/0.84 % done 558 iterations in 0.258s
% 2.22/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.22/0.84 % SZS output start Refutation
% 2.22/0.84 thf(divide_type, type, divide: $i > $i > $i).
% 2.22/0.84 thf(idQa_Q__idQ_idQa_type, type, idQa_Q__idQ_idQa: $i).
% 2.22/0.84 thf(idQ_idQa_type, type, idQ_idQa: $i).
% 2.22/0.84 thf(a_type, type, a: $i).
% 2.22/0.84 thf(idQa_type, type, idQa: $i).
% 2.22/0.84 thf(identity_type, type, identity: $i).
% 2.22/0.84 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 2.22/0.84 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 2.22/0.84 thf(zero_type, type, zero: $i).
% 2.22/0.84 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 2.22/0.84 thf(zip_derived_cl7, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.22/0.84 inference('cnf', [status(esa)], [closure])).
% 2.22/0.84 thf(identity_divide_idQa, axiom, (quotient @ identity @ idQa @ idQ_idQa)).
% 2.22/0.84 thf(zip_derived_cl19, plain, ( (quotient @ identity @ idQa @ idQ_idQa)),
% 2.22/0.84 inference('cnf', [status(esa)], [identity_divide_idQa])).
% 2.22/0.84 thf(identity_divide_a, axiom, (quotient @ identity @ a @ idQa)).
% 2.22/0.84 thf(zip_derived_cl18, plain, ( (quotient @ identity @ a @ idQa)),
% 2.22/0.84 inference('cnf', [status(esa)], [identity_divide_a])).
% 2.22/0.84 thf(one_inversion_equals_three, axiom,
% 2.22/0.84 (( ~( quotient @ identity @ X @ Y1 ) ) |
% 2.22/0.84 ( ~( quotient @ identity @ Y1 @ Y2 ) ) |
% 2.22/0.84 ( ~( quotient @ identity @ Y2 @ Y3 ) ) | ( ( Y1 ) = ( Y3 ) ))).
% 2.22/0.84 thf(zip_derived_cl17, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.22/0.84 (~ (quotient @ identity @ X0 @ X1)
% 2.22/0.84 | ~ (quotient @ identity @ X1 @ X2)
% 2.22/0.84 | ~ (quotient @ identity @ X2 @ X3)
% 2.22/0.84 | ((X1) = (X3)))),
% 2.22/0.84 inference('cnf', [status(esa)], [one_inversion_equals_three])).
% 2.22/0.84 thf(zip_derived_cl239, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i]:
% 2.22/0.84 (~ (quotient @ identity @ idQa @ X0)
% 2.22/0.84 | ~ (quotient @ identity @ X0 @ X1)
% 2.22/0.84 | ((idQa) = (X1)))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl17])).
% 2.22/0.84 thf(zip_derived_cl402, plain,
% 2.22/0.84 (![X0 : $i]: (~ (quotient @ identity @ idQ_idQa @ X0) | ((idQa) = (X0)))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl239])).
% 2.22/0.84 thf(zip_derived_cl406, plain, (((idQa) = (divide @ identity @ idQ_idQa))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl402])).
% 2.22/0.84 thf(zip_derived_cl7, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.22/0.84 inference('cnf', [status(esa)], [closure])).
% 2.22/0.84 thf(zip_derived_cl407, plain, ( (quotient @ identity @ idQ_idQa @ idQa)),
% 2.22/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl7])).
% 2.22/0.84 thf(x_divde_zero_is_x, axiom, (quotient @ X @ zero @ X)).
% 2.22/0.84 thf(zip_derived_cl12, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 2.22/0.84 inference('cnf', [status(esa)], [x_divde_zero_is_x])).
% 2.22/0.84 thf(zip_derived_cl7, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.22/0.84 inference('cnf', [status(esa)], [closure])).
% 2.22/0.84 thf(quotient_property, axiom,
% 2.22/0.84 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 2.22/0.84 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 2.22/0.84 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 2.22/0.84 thf(zip_derived_cl3, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 2.22/0.84 (~ (quotient @ X0 @ X1 @ X2)
% 2.22/0.84 | ~ (quotient @ X1 @ X3 @ X4)
% 2.22/0.84 | ~ (quotient @ X0 @ X3 @ X5)
% 2.22/0.84 | ~ (quotient @ X5 @ X4 @ X6)
% 2.22/0.84 | ~ (quotient @ X2 @ X3 @ X7)
% 2.22/0.84 | (less_equal @ X6 @ X7))),
% 2.22/0.84 inference('cnf', [status(esa)], [quotient_property])).
% 2.22/0.84 thf(zip_derived_cl130, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.22/0.84 ( (less_equal @ X4 @ X3)
% 2.22/0.84 | ~ (quotient @ X0 @ X1 @ X3)
% 2.22/0.84 | ~ (quotient @ X0 @ X5 @ X4)
% 2.22/0.84 | ~ (quotient @ X2 @ X1 @ X0)
% 2.22/0.84 | ~ (quotient @ X1 @ X1 @ X5))),
% 2.22/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 2.22/0.84 thf(zip_derived_cl365, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.22/0.84 ( (less_equal @ X2 @ (divide @ X1 @ X0))
% 2.22/0.84 | ~ (quotient @ X1 @ X3 @ X2)
% 2.22/0.84 | ~ (quotient @ X4 @ X0 @ X1)
% 2.22/0.84 | ~ (quotient @ X0 @ X0 @ X3))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl130])).
% 2.22/0.84 thf(zip_derived_cl1475, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.22/0.84 ( (less_equal @ X0 @ (divide @ X0 @ X1))
% 2.22/0.84 | ~ (quotient @ X2 @ X1 @ X0)
% 2.22/0.84 | ~ (quotient @ X1 @ X1 @ zero))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl365])).
% 2.22/0.84 thf(x_divide_x_is_zero, axiom, (quotient @ X @ X @ zero)).
% 2.22/0.84 thf(zip_derived_cl11, plain, (![X0 : $i]: (quotient @ X0 @ X0 @ zero)),
% 2.22/0.84 inference('cnf', [status(esa)], [x_divide_x_is_zero])).
% 2.22/0.84 thf(zip_derived_cl1482, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.22/0.84 ( (less_equal @ X0 @ (divide @ X0 @ X1)) | ~ (quotient @ X2 @ X1 @ X0))),
% 2.22/0.84 inference('demod', [status(thm)], [zip_derived_cl1475, zip_derived_cl11])).
% 2.22/0.84 thf(zip_derived_cl1508, plain,
% 2.22/0.84 ( (less_equal @ idQa @ (divide @ idQa @ idQ_idQa))),
% 2.22/0.84 inference('s_sup-', [status(thm)],
% 2.22/0.84 [zip_derived_cl407, zip_derived_cl1482])).
% 2.22/0.84 thf(zip_derived_cl7, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 2.22/0.84 inference('cnf', [status(esa)], [closure])).
% 2.22/0.84 thf(identity_divide_idQ_idQa, axiom,
% 2.22/0.84 (quotient @ idQa @ idQ_idQa @ idQa_Q__idQ_idQa)).
% 2.22/0.84 thf(zip_derived_cl20, plain,
% 2.22/0.84 ( (quotient @ idQa @ idQ_idQa @ idQa_Q__idQ_idQa)),
% 2.22/0.84 inference('cnf', [status(esa)], [identity_divide_idQ_idQa])).
% 2.22/0.84 thf(well_defined, axiom,
% 2.22/0.84 (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) |
% 2.22/0.84 ( ( Z ) = ( W ) ))).
% 2.22/0.84 thf(zip_derived_cl8, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.22/0.84 (~ (quotient @ X0 @ X1 @ X2)
% 2.22/0.84 | ~ (quotient @ X0 @ X1 @ X3)
% 2.22/0.84 | ((X2) = (X3)))),
% 2.22/0.84 inference('cnf', [status(esa)], [well_defined])).
% 2.22/0.84 thf(zip_derived_cl156, plain,
% 2.22/0.84 (![X0 : $i]:
% 2.22/0.84 (~ (quotient @ idQa @ idQ_idQa @ X0) | ((idQa_Q__idQ_idQa) = (X0)))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl8])).
% 2.22/0.84 thf(zip_derived_cl159, plain,
% 2.22/0.84 (((idQa_Q__idQ_idQa) = (divide @ idQa @ idQ_idQa))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl156])).
% 2.22/0.84 thf(zip_derived_cl20, plain,
% 2.22/0.84 ( (quotient @ idQa @ idQ_idQa @ idQa_Q__idQ_idQa)),
% 2.22/0.84 inference('cnf', [status(esa)], [identity_divide_idQ_idQa])).
% 2.22/0.84 thf(divisor_existence, axiom,
% 2.22/0.84 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 2.22/0.84 thf(zip_derived_cl2, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.22/0.84 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 2.22/0.84 inference('cnf', [status(esa)], [divisor_existence])).
% 2.22/0.84 thf(zip_derived_cl121, plain, ( (less_equal @ idQa_Q__idQ_idQa @ idQa)),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 2.22/0.84 thf(less_equal_and_equal, axiom,
% 2.22/0.84 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 2.22/0.84 ( ( X ) = ( Y ) ))).
% 2.22/0.84 thf(zip_derived_cl5, plain,
% 2.22/0.84 (![X0 : $i, X1 : $i]:
% 2.22/0.84 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 2.22/0.84 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 2.22/0.84 thf(zip_derived_cl136, plain,
% 2.22/0.84 ((~ (less_equal @ idQa @ idQa_Q__idQ_idQa)
% 2.22/0.84 | ((idQa_Q__idQ_idQa) = (idQa)))),
% 2.22/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl5])).
% 2.22/0.84 thf(prove_idQa_equals_idQa_Q__idQ_idQa, conjecture,
% 2.22/0.84 (( idQa ) = ( idQa_Q__idQ_idQa ))).
% 2.22/0.84 thf(zf_stmt_0, negated_conjecture, (( idQa ) != ( idQa_Q__idQ_idQa )),
% 2.22/0.84 inference('cnf.neg', [status(esa)], [prove_idQa_equals_idQa_Q__idQ_idQa])).
% 2.22/0.84 thf(zip_derived_cl21, plain, (((idQa) != (idQa_Q__idQ_idQa))),
% 2.22/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.22/0.84 thf(zip_derived_cl138, plain, (~ (less_equal @ idQa @ idQa_Q__idQ_idQa)),
% 2.22/0.84 inference('simplify_reflect-', [status(thm)],
% 2.22/0.84 [zip_derived_cl136, zip_derived_cl21])).
% 2.22/0.84 thf(zip_derived_cl1515, plain, ($false),
% 2.22/0.84 inference('demod', [status(thm)],
% 2.22/0.84 [zip_derived_cl1508, zip_derived_cl159, zip_derived_cl138])).
% 2.22/0.84
% 2.22/0.84 % SZS output end Refutation
% 2.22/0.84
% 2.22/0.84
% 2.22/0.84 % Terminating...
% 2.93/0.92 % Runner terminated.
% 2.96/0.93 % Zipperpin 1.5 exiting
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