TSTP Solution File: LCL087-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL087-1 : 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.hvK2Y4piDE true
% Computer : n014.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 08:58:08 EDT 2023
% Result : Unsatisfiable 1.29s 0.86s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL087-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hvK2Y4piDE true
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 23:32:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.58 % Total configuration time : 435
% 0.22/0.58 % Estimated wc time : 1092
% 0.22/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.86 % Solved by fo/fo7.sh.
% 1.29/0.86 % done 90 iterations in 0.149s
% 1.29/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.86 % SZS output start Refutation
% 1.29/0.86 thf(b_type, type, b: $i).
% 1.29/0.86 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 1.29/0.86 thf(implies_type, type, implies: $i > $i > $i).
% 1.29/0.86 thf(a_type, type, a: $i).
% 1.29/0.86 thf(ic_JLukasiewicz_4, axiom,
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 ( implies @
% 1.29/0.86 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 1.29/0.86 ( implies @ T @ ( implies @ ( implies @ S @ P ) @ ( implies @ R @ P ) ) ) ))).
% 1.29/0.86 thf(zip_derived_cl1, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 1.29/0.86 (implies @ X4 @
% 1.29/0.86 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 1.29/0.86 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 1.29/0.86 thf(zip_derived_cl1, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 1.29/0.86 (implies @ X4 @
% 1.29/0.86 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 1.29/0.86 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 1.29/0.86 thf(condensed_detachment, axiom,
% 1.29/0.86 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 1.29/0.86 ( is_a_theorem @ Y ))).
% 1.29/0.86 thf(zip_derived_cl0, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.29/0.86 | ~ (is_a_theorem @ X0)
% 1.29/0.86 | (is_a_theorem @ X1))),
% 1.29/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.29/0.86 thf(zip_derived_cl3, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 ( (is_a_theorem @
% 1.29/0.86 (implies @ X3 @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 1.29/0.86 | ~ (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl4, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X5 @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X0 @ X4)) @
% 1.29/0.86 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.29/0.86 thf(zip_derived_cl0, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.29/0.86 | ~ (is_a_theorem @ X0)
% 1.29/0.86 | (is_a_theorem @ X1))),
% 1.29/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.29/0.86 thf(zip_derived_cl5, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 ( (is_a_theorem @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 1.29/0.86 (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X2 @ (implies @ X1 @ X0))))
% 1.29/0.86 | ~ (is_a_theorem @ X5))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl5, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 ( (is_a_theorem @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 1.29/0.86 (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X2 @ (implies @ X1 @ X0))))
% 1.29/0.86 | ~ (is_a_theorem @ X5))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl0, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.29/0.86 | ~ (is_a_theorem @ X0)
% 1.29/0.86 | (is_a_theorem @ X1))),
% 1.29/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.29/0.86 thf(zip_derived_cl8, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ X5)
% 1.29/0.86 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 1.29/0.86 | ~ (is_a_theorem @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 1.29/0.86 (implies @ X1 @ X0))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl18, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 (~ (is_a_theorem @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @
% 1.29/0.86 (implies @ X1 @ X0)))
% 1.29/0.86 | (is_a_theorem @ (implies @ X4 @ (implies @ X1 @ X0))))),
% 1.29/0.86 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 1.29/0.86 thf(zip_derived_cl21, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ X4)
% 1.29/0.86 | (is_a_theorem @
% 1.29/0.86 (implies @ X3 @
% 1.29/0.86 (implies @ (implies @ X1 @ X0) @
% 1.29/0.86 (implies @ X0 @ (implies @ X1 @ X0))))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl18])).
% 1.29/0.86 thf(zip_derived_cl4, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X5 @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X0 @ X4)) @
% 1.29/0.86 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.29/0.86 thf(zip_derived_cl234, plain,
% 1.29/0.86 (![X6 : $i, X7 : $i, X8 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X8 @
% 1.29/0.86 (implies @ (implies @ X7 @ X6) @
% 1.29/0.86 (implies @ X6 @ (implies @ X7 @ X6)))))),
% 1.29/0.86 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 1.29/0.86 thf(zip_derived_cl0, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.29/0.86 | ~ (is_a_theorem @ X0)
% 1.29/0.86 | (is_a_theorem @ X1))),
% 1.29/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.29/0.86 thf(zip_derived_cl279, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.86 ( (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ X1 @ X0) @
% 1.29/0.86 (implies @ X0 @ (implies @ X1 @ X0))))
% 1.29/0.86 | ~ (is_a_theorem @ X2))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl4, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X5 @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X0 @ X4)) @
% 1.29/0.86 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.29/0.86 thf(zip_derived_cl419, plain,
% 1.29/0.86 (![X6 : $i, X7 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ X7 @ X6) @
% 1.29/0.86 (implies @ X6 @ (implies @ X7 @ X6))))),
% 1.29/0.86 inference('sup+', [status(thm)], [zip_derived_cl279, zip_derived_cl4])).
% 1.29/0.86 thf(zip_derived_cl3, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 ( (is_a_theorem @
% 1.29/0.86 (implies @ X3 @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 1.29/0.86 | ~ (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl472, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X2 @
% 1.29/0.86 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 1.29/0.86 (implies @ X0 @ X1))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl419, zip_derived_cl3])).
% 1.29/0.86 thf(zip_derived_cl0, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.29/0.86 | ~ (is_a_theorem @ X0)
% 1.29/0.86 | (is_a_theorem @ X1))),
% 1.29/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.29/0.86 thf(zip_derived_cl475, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.86 ( (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @
% 1.29/0.86 (implies @ X1 @ X0)))
% 1.29/0.86 | ~ (is_a_theorem @ X2))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl472, zip_derived_cl0])).
% 1.29/0.86 thf(zip_derived_cl4, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X5 @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X0 @ X4)) @
% 1.29/0.86 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.29/0.86 thf(zip_derived_cl509, plain,
% 1.29/0.86 (![X6 : $i, X7 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ (implies @ (implies @ X6 @ X7) @ X6) @
% 1.29/0.86 (implies @ X7 @ X6)))),
% 1.29/0.86 inference('sup+', [status(thm)], [zip_derived_cl475, zip_derived_cl4])).
% 1.29/0.86 thf(zip_derived_cl18, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.86 (~ (is_a_theorem @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @
% 1.29/0.86 (implies @ X1 @ X0)))
% 1.29/0.86 | (is_a_theorem @ (implies @ X4 @ (implies @ X1 @ X0))))),
% 1.29/0.86 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 1.29/0.86 thf(zip_derived_cl566, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.86 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl509, zip_derived_cl18])).
% 1.29/0.86 thf(zip_derived_cl0, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i]:
% 1.29/0.86 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.29/0.86 | ~ (is_a_theorem @ X0)
% 1.29/0.86 | (is_a_theorem @ X1))),
% 1.29/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.29/0.86 thf(zip_derived_cl569, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.86 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 1.29/0.86 | ~ (is_a_theorem @ X2))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl566, zip_derived_cl0])).
% 1.29/0.86 thf(prove_ic_2, conjecture,
% 1.29/0.86 (is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ))).
% 1.29/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.29/0.86 (~( is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ) )),
% 1.29/0.86 inference('cnf.neg', [status(esa)], [prove_ic_2])).
% 1.29/0.86 thf(zip_derived_cl2, plain,
% 1.29/0.86 (~ (is_a_theorem @ (implies @ a @ (implies @ b @ a)))),
% 1.29/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.86 thf(zip_derived_cl732, plain, (![X0 : $i]: ~ (is_a_theorem @ X0)),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl569, zip_derived_cl2])).
% 1.29/0.86 thf(zip_derived_cl4, plain,
% 1.29/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.86 (is_a_theorem @
% 1.29/0.86 (implies @ X5 @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @
% 1.29/0.86 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 1.29/0.86 (implies @ X0 @ X4)) @
% 1.29/0.86 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 1.29/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.29/0.86 thf(zip_derived_cl776, plain, ($false),
% 1.29/0.86 inference('sup+', [status(thm)], [zip_derived_cl732, zip_derived_cl4])).
% 1.29/0.86
% 1.29/0.86 % SZS output end Refutation
% 1.29/0.86
% 1.29/0.86
% 1.29/0.87 % Terminating...
% 1.47/0.92 % Runner terminated.
% 1.47/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------