%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG006-2 : 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.sO4o46hKSq true
% Computer : n024.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 04:50:12 PM UTC 2025
% Result : Unsatisfiable 10.70s 6.18s
% Output : Refutation 10.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/1.04 % Problem : RNG006-2 : TPTP v9.2.0. Released v1.0.0.
% 0.10/1.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sO4o46hKSq true
% 0.11/1.56 % Computer : n024.cluster.edu
% 0.11/1.56 % Model : x86_64 x86_64
% 0.11/1.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.56 % Memory : 8042.1875MB
% 0.11/1.56 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.56 % CPULimit : 300
% 0.11/1.56 % WCLimit : 300
% 0.11/1.56 % DateTime : Wed Oct 1 17:20:54 EDT 2025
% 0.11/1.58 % CPUTime :
% 0.11/1.58 % Running portfolio for 300 s
% 0.11/1.58 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/1.59 % Number of cores: 8
% 0.18/1.62 % Python version: Python 3.6.8
% 0.18/1.65 % Running in FO mode
% 0.54/2.40 % Total configuration time : 435
% 0.54/2.40 % Estimated wc time : 1092
% 0.54/2.40 % Estimated cpu time (7 cpus) : 156.0
% 0.56/2.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/2.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/2.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.42/2.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.46/2.86 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.46/2.87 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.46/2.89 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 10.70/6.18 % Solved by fo/fo5.sh.
% 10.70/6.18 % done 1579 iterations in 3.164s
% 10.70/6.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.70/6.18 % SZS output start Refutation
% 10.70/6.18 thf(sum_type, type, sum: $i > $i > $i > $o).
% 10.70/6.18 thf(aPc_type, type, aPc: $i).
% 10.70/6.18 thf(c_type, type, c: $i).
% 10.70/6.18 thf(product_type, type, product: $i > $i > $i > $o).
% 10.70/6.18 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 10.70/6.18 thf(b_type, type, b: $i).
% 10.70/6.18 thf(aPb_type, type, aPb: $i).
% 10.70/6.18 thf(a_type, type, a: $i).
% 10.70/6.18 thf(bS_Ic_type, type, bS_Ic: $i).
% 10.70/6.18 thf(aPb_S_IaPc_type, type, aPb_S_IaPc: $i).
% 10.70/6.18 thf(prove_a_times_bS_Ic_is_aPb_S__IaPc, conjecture,
% 10.70/6.18 (product @ a @ bS_Ic @ aPb_S_IaPc)).
% 10.70/6.18 thf(zf_stmt_0, negated_conjecture, (~( product @ a @ bS_Ic @ aPb_S_IaPc )),
% 10.70/6.18 inference('cnf.neg', [status(esa)], [prove_a_times_bS_Ic_is_aPb_S__IaPc])).
% 10.70/6.18 thf(zip_derived_cl35, plain, (~ (product @ a @ bS_Ic @ aPb_S_IaPc)),
% 10.70/6.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.70/6.18 thf(aPb_plus_IaPc, axiom,
% 10.70/6.18 (sum @ aPb @ ( additive_inverse @ aPc ) @ aPb_S_IaPc)).
% 10.70/6.18 thf(zip_derived_cl34, plain,
% 10.70/6.18 ( (sum @ aPb @ (additive_inverse @ aPc) @ aPb_S_IaPc)),
% 10.70/6.18 inference('cnf', [status(esa)], [aPb_plus_IaPc])).
% 10.70/6.18 thf(commutativity_of_addition, axiom,
% 10.70/6.18 (( ~( sum @ X @ Y @ Z ) ) | ( sum @ Y @ X @ Z ))).
% 10.70/6.18 thf(zip_derived_cl17, plain,
% 10.70/6.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.70/6.18 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 10.70/6.18 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 10.70/6.18 thf(zip_derived_cl41, plain,
% 10.70/6.18 ( (sum @ (additive_inverse @ aPc) @ aPb @ aPb_S_IaPc)),
% 10.70/6.18 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl17])).
% 10.70/6.18 thf(a_times_c, axiom, (product @ a @ c @ aPc)).
% 10.70/6.18 thf(zip_derived_cl33, plain, ( (product @ a @ c @ aPc)),
% 10.70/6.18 inference('cnf', [status(esa)], [a_times_c])).
% 10.70/6.18 thf(product_lemma1, axiom,
% 10.70/6.18 (( ~( product @ A @ B @ C ) ) |
% 10.70/6.18 ( product @ A @ ( additive_inverse @ B ) @ ( additive_inverse @ C ) ))).
% 10.70/6.18 thf(zip_derived_cl28, plain,
% 10.70/6.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.70/6.18 (~ (product @ X0 @ X1 @ X2)
% 10.70/6.18 | (product @ X0 @ (additive_inverse @ X1) @ (additive_inverse @ X2)))),
% 10.70/6.18 inference('cnf', [status(esa)], [product_lemma1])).
% 10.70/6.18 thf(zip_derived_cl50, plain,
% 10.70/6.18 ( (product @ a @ (additive_inverse @ c) @ (additive_inverse @ aPc))),
% 10.70/6.18 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl28])).
% 10.70/6.18 thf(b_plus_inverse_c, axiom, (sum @ b @ ( additive_inverse @ c ) @ bS_Ic)).
% 10.70/6.18 thf(zip_derived_cl31, plain, ( (sum @ b @ (additive_inverse @ c) @ bS_Ic)),
% 10.70/6.18 inference('cnf', [status(esa)], [b_plus_inverse_c])).
% 10.70/6.18 thf(zip_derived_cl17, plain,
% 10.70/6.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.70/6.18 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 10.70/6.18 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 10.70/6.18 thf(zip_derived_cl40, plain, ( (sum @ (additive_inverse @ c) @ b @ bS_Ic)),
% 10.70/6.18 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl17])).
% 10.70/6.18 thf(distributivity2, axiom,
% 10.70/6.18 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 10.70/6.18 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( sum @ V1 @ V2 @ V4 ) ) |
% 10.70/6.18 ( product @ X @ V3 @ V4 ))).
% 10.70/6.18 thf(zip_derived_cl21, plain,
% 10.70/6.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.70/6.18 (~ (product @ X0 @ X1 @ X2)
% 10.70/6.18 | ~ (product @ X0 @ X3 @ X4)
% 10.70/6.18 | ~ (sum @ X1 @ X3 @ X5)
% 10.70/6.18 | ~ (sum @ X2 @ X4 @ X6)
% 10.70/6.18 | (product @ X0 @ X5 @ X6))),
% 10.70/6.18 inference('cnf', [status(esa)], [distributivity2])).
% 10.70/6.18 thf(zip_derived_cl232, plain,
% 10.70/6.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.70/6.18 ( (product @ X1 @ bS_Ic @ X0)
% 10.70/6.18 | ~ (sum @ X3 @ X2 @ X0)
% 10.70/6.18 | ~ (product @ X1 @ b @ X2)
% 10.70/6.18 | ~ (product @ X1 @ (additive_inverse @ c) @ X3))),
% 10.70/6.18 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl21])).
% 10.70/6.18 thf(zip_derived_cl5716, plain,
% 10.70/6.18 (![X0 : $i, X1 : $i]:
% 10.70/6.18 (~ (product @ a @ b @ X0)
% 10.70/6.18 | ~ (sum @ (additive_inverse @ aPc) @ X0 @ X1)
% 10.70/6.18 | (product @ a @ bS_Ic @ X1))),
% 10.70/6.18 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl232])).
% 10.70/6.18 thf(zip_derived_cl5731, plain,
% 10.70/6.18 (( (product @ a @ bS_Ic @ aPb_S_IaPc) | ~ (product @ a @ b @ aPb))),
% 10.70/6.18 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl5716])).
% 10.70/6.18 thf(a_times_b, axiom, (product @ a @ b @ aPb)).
% 10.70/6.18 thf(zip_derived_cl32, plain, ( (product @ a @ b @ aPb)),
% 10.70/6.18 inference('cnf', [status(esa)], [a_times_b])).
% 10.70/6.18 thf(zip_derived_cl5732, plain, ( (product @ a @ bS_Ic @ aPb_S_IaPc)),
% 10.70/6.18 inference('demod', [status(thm)], [zip_derived_cl5731, zip_derived_cl32])).
% 10.70/6.18 thf(zip_derived_cl5733, plain, ($false),
% 10.70/6.18 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl5732])).
% 10.70/6.18
% 10.70/6.18 % SZS output end Refutation
% 10.70/6.18
% 10.70/6.18
% 10.70/6.18 % Terminating...
% 11.11/6.41 % Runner terminated.
% 11.11/6.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------