TSTP Solution File: SET839-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N4VCo8uffb 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 16:16:19 EDT 2023
% Result : Unsatisfiable 0.90s 0.79s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N4VCo8uffb true
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 12:29:47 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.90/0.79 % Solved by fo/fo6_bce.sh.
% 0.90/0.79 % BCE start: 6
% 0.90/0.79 % BCE eliminated: 0
% 0.90/0.79 % PE start: 6
% 0.90/0.79 logic: eq
% 0.90/0.79 % PE eliminated: 0
% 0.90/0.79 % done 18 iterations in 0.019s
% 0.90/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.90/0.79 % SZS output start Refutation
% 0.90/0.79 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.90/0.79 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.90/0.79 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.90/0.79 thf(c_emptyset_type, type, c_emptyset: $i).
% 0.90/0.79 thf(tc_set_type, type, tc_set: $i > $i).
% 0.90/0.79 thf(v_S_type, type, v_S: $i).
% 0.90/0.79 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 0.90/0.79 thf(t_a_type, type, t_a: $i).
% 0.90/0.79 thf(cls_conjecture_0, conjecture,
% 0.90/0.79 (c_lessequals @
% 0.90/0.79 v_S @ ( c_insert @ V_U @ c_emptyset @ ( tc_set @ t_a ) ) @
% 0.90/0.79 ( tc_set @ ( tc_set @ t_a ) ))).
% 0.90/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.90/0.79 (~( c_lessequals @
% 0.90/0.79 v_S @ ( c_insert @ V_U @ c_emptyset @ ( tc_set @ t_a ) ) @
% 0.90/0.79 ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.90/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.90/0.79 thf(zip_derived_cl0, plain,
% 0.90/0.79 (![X0 : $i]:
% 0.90/0.79 ~ (c_lessequals @ v_S @
% 0.90/0.79 (c_insert @ X0 @ c_emptyset @ (tc_set @ t_a)) @
% 0.90/0.79 (tc_set @ (tc_set @ t_a)))),
% 0.90/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.79 thf(cls_Set_OinsertCI_1, axiom,
% 0.90/0.79 (c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a)).
% 0.90/0.79 thf(zip_derived_cl2, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.79 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.90/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.90/0.79 thf(cls_Set_OsubsetI_0, axiom,
% 0.90/0.79 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 0.90/0.79 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.90/0.79 thf(zip_derived_cl3, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.79 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.90/0.79 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.90/0.79 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.90/0.79 thf(cls_conjecture_1, conjecture,
% 0.90/0.79 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.90/0.79 ( ~( c_in @ V_V @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.90/0.79 ( c_lessequals @ V_U @ V_V @ ( tc_set @ t_a ) ) ))).
% 0.90/0.79 thf(zf_stmt_1, negated_conjecture,
% 0.90/0.79 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.90/0.79 ( ~( c_in @ V_V @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.90/0.79 ( c_lessequals @ V_U @ V_V @ ( tc_set @ t_a ) )),
% 0.90/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.90/0.79 thf(zip_derived_cl1, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 0.90/0.79 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @ X0 @ X1 @ (tc_set @ t_a)))),
% 0.90/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.79 thf(zip_derived_cl29, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @
% 0.90/0.79 (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ X1 @
% 0.90/0.79 (tc_set @ t_a)))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.90/0.79 thf(zip_derived_cl3, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.79 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.90/0.79 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.90/0.79 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.90/0.79 thf(zip_derived_cl29, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ~ (c_in @ X1 @ v_S @ (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @
% 0.90/0.79 (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ X1 @
% 0.90/0.79 (tc_set @ t_a)))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.90/0.79 thf(cls_Set_Osubset__antisym_0, axiom,
% 0.90/0.79 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 0.90/0.79 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.90/0.79 ( ( V_A ) = ( V_B ) ))).
% 0.90/0.79 thf(zip_derived_cl5, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.79 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.90/0.79 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.90/0.79 | ((X1) = (X0)))),
% 0.90/0.79 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.90/0.79 thf(zip_derived_cl32, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ~ (c_lessequals @ X0 @
% 0.90/0.79 (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a)) @
% 0.90/0.79 (tc_set @ t_a))
% 0.90/0.79 | ((X0) = (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a))))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl5])).
% 0.90/0.79 thf(zip_derived_cl33, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ~ (c_lessequals @
% 0.90/0.79 (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @
% 0.90/0.79 (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a)) @
% 0.90/0.79 (tc_set @ t_a))
% 0.90/0.79 | ((c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a))
% 0.90/0.79 = (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a))))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl32])).
% 0.90/0.79 thf(zip_derived_cl38, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 (~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ v_S @
% 0.90/0.79 (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ((c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a))
% 0.90/0.79 = (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a))))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl33])).
% 0.90/0.79 thf(zip_derived_cl40, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 (((c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a))
% 0.90/0.79 = (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ v_S @
% 0.90/0.79 (tc_set @ t_a)))),
% 0.90/0.79 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.90/0.79 thf(zip_derived_cl3, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.79 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.90/0.79 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.90/0.79 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.90/0.79 thf(zip_derived_cl41, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 ( (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ((c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a))
% 0.90/0.79 = (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a))))),
% 0.90/0.79 inference('clc', [status(thm)], [zip_derived_cl40, zip_derived_cl3])).
% 0.90/0.79 thf(cls_Set_OsubsetI_1, axiom,
% 0.90/0.79 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 0.90/0.79 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.90/0.79 thf(zip_derived_cl4, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.79 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.90/0.79 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.90/0.79 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.90/0.79 thf(zip_derived_cl43, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 ( (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | ~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ X1 @
% 0.90/0.79 (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a))))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl4])).
% 0.90/0.79 thf(zip_derived_cl61, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 (~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_a)) @ X1 @
% 0.90/0.79 (tc_set @ t_a))
% 0.90/0.79 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a))))),
% 0.90/0.79 inference('simplify', [status(thm)], [zip_derived_cl43])).
% 0.90/0.79 thf(zip_derived_cl71, plain,
% 0.90/0.79 (![X0 : $i, X1 : $i]:
% 0.90/0.79 ( (c_lessequals @ v_S @ X1 @ (tc_set @ (tc_set @ t_a)))
% 0.90/0.79 | (c_lessequals @ v_S @
% 0.90/0.79 (c_insert @ (c_Main_OsubsetI__1 @ v_S @ X1 @ (tc_set @ t_a)) @
% 0.90/0.79 X0 @ (tc_set @ t_a)) @
% 0.90/0.79 (tc_set @ (tc_set @ t_a))))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl61])).
% 0.90/0.79 thf(zip_derived_cl0, plain,
% 0.90/0.79 (![X0 : $i]:
% 0.90/0.79 ~ (c_lessequals @ v_S @
% 0.90/0.79 (c_insert @ X0 @ c_emptyset @ (tc_set @ t_a)) @
% 0.90/0.79 (tc_set @ (tc_set @ t_a)))),
% 0.90/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.79 thf(zip_derived_cl80, plain,
% 0.90/0.79 (![X0 : $i]: (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_a)))),
% 0.90/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl0])).
% 0.90/0.79 thf(zip_derived_cl86, plain, ($false),
% 0.90/0.79 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl80])).
% 0.90/0.79
% 0.90/0.79 % SZS output end Refutation
% 0.90/0.79
% 0.90/0.79
% 0.90/0.79 % Terminating...
% 1.49/0.87 % Runner terminated.
% 1.49/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------