%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN009-2 : 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.eUPMc6Nr4w true
% Computer : n028.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 04:37:24 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.85s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN009-2 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eUPMc6Nr4w true
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:54:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.85 % Solved by fo/fo5.sh.
% 0.57/0.85 % done 244 iterations in 0.055s
% 0.57/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.85 % SZS output start Refutation
% 0.57/0.85 thf(idQ_idQa_type, type, idQ_idQa: $i).
% 0.57/0.85 thf(identity_type, type, identity: $i).
% 0.57/0.85 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.57/0.85 thf(idQa_type, type, idQa: $i).
% 0.57/0.85 thf(idQ__idQ_idQa_type, type, idQ__idQ_idQa: $i).
% 0.57/0.85 thf(a_type, type, a: $i).
% 0.57/0.85 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 0.57/0.85 thf(zero_type, type, zero: $i).
% 0.57/0.85 thf(identity_divide_idQ_idQa, axiom,
% 0.57/0.85 (quotient @ identity @ idQ_idQa @ idQ__idQ_idQa)).
% 0.57/0.85 thf(zip_derived_cl19, plain,
% 0.57/0.85 ( (quotient @ identity @ idQ_idQa @ idQ__idQ_idQa)),
% 0.57/0.85 inference('cnf', [status(esa)], [identity_divide_idQ_idQa])).
% 0.57/0.85 thf(identity_divide_a, axiom, (quotient @ identity @ a @ idQa)).
% 0.57/0.85 thf(zip_derived_cl17, plain, ( (quotient @ identity @ a @ idQa)),
% 0.57/0.85 inference('cnf', [status(esa)], [identity_divide_a])).
% 0.57/0.85 thf(xLEy_implies_zQyLEzQx, axiom,
% 0.57/0.85 (( ~( less_equal @ X @ Y ) ) | ( ~( quotient @ Z @ Y @ W1 ) ) |
% 0.57/0.85 ( ~( quotient @ Z @ X @ W2 ) ) | ( less_equal @ W1 @ W2 ))).
% 0.57/0.85 thf(zip_derived_cl15, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.85 (~ (less_equal @ X0 @ X1)
% 0.57/0.85 | ~ (quotient @ X2 @ X1 @ X3)
% 0.57/0.85 | ~ (quotient @ X2 @ X0 @ X4)
% 0.57/0.85 | (less_equal @ X3 @ X4))),
% 0.57/0.85 inference('cnf', [status(esa)], [xLEy_implies_zQyLEzQx])).
% 0.57/0.85 thf(zip_derived_cl70, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 ( (less_equal @ idQa @ X0)
% 0.57/0.85 | ~ (quotient @ identity @ X1 @ X0)
% 0.57/0.85 | ~ (less_equal @ X1 @ a))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl15])).
% 0.57/0.85 thf(zip_derived_cl459, plain,
% 0.57/0.85 ((~ (less_equal @ idQ_idQa @ a) | (less_equal @ idQa @ idQ__idQ_idQa))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl70])).
% 0.57/0.85 thf(identity_divide_idQa, axiom, (quotient @ identity @ idQa @ idQ_idQa)).
% 0.57/0.85 thf(zip_derived_cl18, plain, ( (quotient @ identity @ idQa @ idQ_idQa)),
% 0.57/0.85 inference('cnf', [status(esa)], [identity_divide_idQa])).
% 0.57/0.85 thf(zip_derived_cl17, plain, ( (quotient @ identity @ a @ idQa)),
% 0.57/0.85 inference('cnf', [status(esa)], [identity_divide_a])).
% 0.57/0.85 thf(xQyLEz_implies_xQzLEy, axiom,
% 0.57/0.85 (( ~( quotient @ X @ Y @ W1 ) ) | ( ~( less_equal @ W1 @ Z ) ) |
% 0.57/0.85 ( ~( quotient @ X @ Z @ W2 ) ) | ( less_equal @ W2 @ Y ))).
% 0.57/0.85 thf(zip_derived_cl14, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.85 (~ (quotient @ X0 @ X1 @ X2)
% 0.57/0.85 | ~ (less_equal @ X2 @ X3)
% 0.57/0.85 | ~ (quotient @ X0 @ X3 @ X4)
% 0.57/0.85 | (less_equal @ X4 @ X1))),
% 0.57/0.85 inference('cnf', [status(esa)], [xQyLEz_implies_xQzLEy])).
% 0.57/0.85 thf(zip_derived_cl58, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 ( (less_equal @ X0 @ a)
% 0.57/0.85 | ~ (quotient @ identity @ X1 @ X0)
% 0.57/0.85 | ~ (less_equal @ idQa @ X1))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
% 0.57/0.85 thf(zip_derived_cl255, plain,
% 0.57/0.85 ((~ (less_equal @ idQa @ idQa) | (less_equal @ idQ_idQa @ a))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl58])).
% 0.57/0.85 thf(x_divde_zero_is_x, axiom, (quotient @ X @ zero @ X)).
% 0.57/0.85 thf(zip_derived_cl12, plain, (![X0 : $i]: (quotient @ X0 @ zero @ X0)),
% 0.57/0.85 inference('cnf', [status(esa)], [x_divde_zero_is_x])).
% 0.57/0.85 thf(divisor_existence, axiom,
% 0.57/0.85 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 0.57/0.85 thf(zip_derived_cl2, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.85 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 0.57/0.85 inference('cnf', [status(esa)], [divisor_existence])).
% 0.57/0.85 thf(zip_derived_cl29, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl2])).
% 0.57/0.85 thf(zip_derived_cl259, plain, ( (less_equal @ idQ_idQa @ a)),
% 0.57/0.85 inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl29])).
% 0.57/0.85 thf(zip_derived_cl19, plain,
% 0.57/0.85 ( (quotient @ identity @ idQ_idQa @ idQ__idQ_idQa)),
% 0.57/0.85 inference('cnf', [status(esa)], [identity_divide_idQ_idQa])).
% 0.57/0.85 thf(zip_derived_cl18, plain, ( (quotient @ identity @ idQa @ idQ_idQa)),
% 0.57/0.85 inference('cnf', [status(esa)], [identity_divide_idQa])).
% 0.57/0.85 thf(zip_derived_cl14, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.85 (~ (quotient @ X0 @ X1 @ X2)
% 0.57/0.85 | ~ (less_equal @ X2 @ X3)
% 0.57/0.85 | ~ (quotient @ X0 @ X3 @ X4)
% 0.57/0.85 | (less_equal @ X4 @ X1))),
% 0.57/0.85 inference('cnf', [status(esa)], [xQyLEz_implies_xQzLEy])).
% 0.57/0.85 thf(zip_derived_cl59, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 ( (less_equal @ X0 @ idQa)
% 0.57/0.85 | ~ (quotient @ identity @ X1 @ X0)
% 0.57/0.85 | ~ (less_equal @ idQ_idQa @ X1))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl14])).
% 0.57/0.85 thf(zip_derived_cl287, plain,
% 0.57/0.85 ((~ (less_equal @ idQ_idQa @ idQ_idQa)
% 0.57/0.85 | (less_equal @ idQ__idQ_idQa @ idQa))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl59])).
% 0.57/0.85 thf(zip_derived_cl29, plain, (![X0 : $i]: (less_equal @ X0 @ X0)),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl2])).
% 0.57/0.85 thf(zip_derived_cl291, plain, ( (less_equal @ idQ__idQ_idQa @ idQa)),
% 0.57/0.85 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl29])).
% 0.57/0.85 thf(less_equal_and_equal, axiom,
% 0.57/0.85 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.57/0.85 ( ( X ) = ( Y ) ))).
% 0.57/0.85 thf(zip_derived_cl5, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.57/0.85 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.57/0.85 thf(zip_derived_cl293, plain,
% 0.57/0.85 ((((idQ__idQ_idQa) = (idQa)) | ~ (less_equal @ idQa @ idQ__idQ_idQa))),
% 0.57/0.85 inference('sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl5])).
% 0.57/0.85 thf(prove_one_inversion_equals_three, conjecture,
% 0.57/0.85 (( idQa ) = ( idQ__idQ_idQa ))).
% 0.57/0.85 thf(zf_stmt_0, negated_conjecture, (( idQa ) != ( idQ__idQ_idQa )),
% 0.57/0.85 inference('cnf.neg', [status(esa)], [prove_one_inversion_equals_three])).
% 0.57/0.85 thf(zip_derived_cl20, plain, (((idQa) != (idQ__idQ_idQa))),
% 0.57/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.85 thf(zip_derived_cl295, plain, (~ (less_equal @ idQa @ idQ__idQ_idQa)),
% 0.57/0.85 inference('simplify_reflect-', [status(thm)],
% 0.57/0.85 [zip_derived_cl293, zip_derived_cl20])).
% 0.57/0.85 thf(zip_derived_cl462, plain, ($false),
% 0.57/0.85 inference('demod', [status(thm)],
% 0.57/0.85 [zip_derived_cl459, zip_derived_cl259, zip_derived_cl295])).
% 0.57/0.85
% 0.57/0.85 % SZS output end Refutation
% 0.57/0.85
% 0.57/0.85
% 0.57/0.85 % Terminating...
% 0.63/0.96 % Runner terminated.
% 0.63/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------