TSTP Solution File: SET840-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET840-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VtxuxEHpBl true
% Computer : n001.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 16:16:20 EDT 2023
% Result : Unsatisfiable 0.22s 0.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET840-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VtxuxEHpBl true
% 0.14/0.35 % Computer : n001.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 : Sat Aug 26 11:18:30 EDT 2023
% 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
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80 % Solved by fo/fo6_bce.sh.
% 0.22/0.80 % BCE start: 9
% 0.22/0.80 % BCE eliminated: 0
% 0.22/0.80 % PE start: 9
% 0.22/0.80 logic: eq
% 0.22/0.80 % PE eliminated: 0
% 0.22/0.80 % done 42 iterations in 0.048s
% 0.22/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80 % SZS output start Refutation
% 0.22/0.80 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.22/0.80 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.22/0.80 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 0.22/0.80 thf(c_emptyset_type, type, c_emptyset: $i).
% 0.22/0.80 thf(tc_set_type, type, tc_set: $i > $i).
% 0.22/0.80 thf(v_S_type, type, v_S: $i).
% 0.22/0.80 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 0.22/0.80 thf(t_b_type, type, t_b: $i).
% 0.22/0.80 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.22/0.80 thf(cls_Set_OinsertCI_1, axiom,
% 0.22/0.80 (c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a)).
% 0.22/0.80 thf(zip_derived_cl4, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.22/0.80 thf(cls_Set_OsubsetI_0, axiom,
% 0.22/0.80 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 0.22/0.80 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.22/0.80 thf(zip_derived_cl6, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.22/0.80 thf(cls_Set_OinsertE_0, axiom,
% 0.22/0.80 (( ~( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a ) ) |
% 0.22/0.80 ( c_in @ V_a @ V_A @ T_a ) | ( ( V_a ) = ( V_b ) ))).
% 0.22/0.80 thf(zip_derived_cl5, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 0.22/0.80 | (c_in @ X0 @ X2 @ X3)
% 0.22/0.80 | ((X0) = (X1)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OinsertE_0])).
% 0.22/0.80 thf(zip_derived_cl52, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 ( (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X3 @ (tc_set @ X0))
% 0.22/0.80 | (c_in @
% 0.22/0.80 (c_Main_OsubsetI__1 @ (c_insert @ X2 @ X1 @ X0) @ X3 @ X0) @
% 0.22/0.80 X1 @ X0)
% 0.22/0.80 | ((c_Main_OsubsetI__1 @ (c_insert @ X2 @ X1 @ X0) @ X3 @ X0) = (X2)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 0.22/0.80 thf(cls_Set_OsubsetI_1, axiom,
% 0.22/0.80 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 0.22/0.80 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 0.22/0.80 thf(zip_derived_cl7, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.22/0.80 thf(zip_derived_cl88, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (((c_Main_OsubsetI__1 @ (c_insert @ X2 @ X1 @ X0) @ X1 @ X0) = (X2))
% 0.22/0.80 | (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 0.22/0.80 | (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 0.22/0.80 thf(zip_derived_cl90, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 0.22/0.80 | ((c_Main_OsubsetI__1 @ (c_insert @ X2 @ X1 @ X0) @ X1 @ X0) = (X2)))),
% 0.22/0.80 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 0.22/0.80 thf(zip_derived_cl7, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.22/0.80 thf(zip_derived_cl93, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_lessequals @ (c_insert @ X0 @ X2 @ X1) @ X2 @ (tc_set @ X1))
% 0.22/0.80 | ~ (c_in @ X0 @ X2 @ X1)
% 0.22/0.80 | (c_lessequals @ (c_insert @ X0 @ X2 @ X1) @ X2 @ (tc_set @ X1)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl7])).
% 0.22/0.80 thf(zip_derived_cl98, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ X0 @ X2 @ X1)
% 0.22/0.80 | (c_lessequals @ (c_insert @ X0 @ X2 @ X1) @ X2 @ (tc_set @ X1)))),
% 0.22/0.80 inference('simplify', [status(thm)], [zip_derived_cl93])).
% 0.22/0.80 thf(zip_derived_cl6, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.22/0.80 thf(cls_Set_OinsertCI_0, axiom,
% 0.22/0.80 (( ~( c_in @ V_a @ V_B @ T_a ) ) |
% 0.22/0.80 ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ))).
% 0.22/0.80 thf(zip_derived_cl3, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 (~ (c_in @ X0 @ X1 @ X2)
% 0.22/0.80 | (c_in @ X0 @ (c_insert @ X3 @ X1 @ X2) @ X2))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OinsertCI_0])).
% 0.22/0.80 thf(zip_derived_cl7, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.22/0.80 thf(zip_derived_cl49, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 (~ (c_in @
% 0.22/0.80 (c_Main_OsubsetI__1 @ X3 @ (c_insert @ X2 @ X1 @ X0) @ X0) @ X1 @
% 0.22/0.80 X0)
% 0.22/0.80 | (c_lessequals @ X3 @ (c_insert @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.22/0.80 thf(zip_derived_cl68, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_lessequals @ X1 @ (c_insert @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 0.22/0.80 | (c_lessequals @ X1 @ (c_insert @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl49])).
% 0.22/0.80 thf(zip_derived_cl69, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (c_lessequals @ X1 @ (c_insert @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 0.22/0.80 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 0.22/0.80 thf(cls_Set_Osubset__antisym_0, axiom,
% 0.22/0.80 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 0.22/0.80 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.22/0.80 ( ( V_A ) = ( V_B ) ))).
% 0.22/0.80 thf(zip_derived_cl8, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.22/0.80 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.22/0.80 | ((X1) = (X0)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.22/0.80 thf(zip_derived_cl70, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 0.22/0.80 | ((c_insert @ X2 @ X1 @ X0) = (X1)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl8])).
% 0.22/0.80 thf(zip_derived_cl103, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ X2 @ X1 @ X0) | ((c_insert @ X2 @ X1 @ X0) = (X1)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl70])).
% 0.22/0.80 thf(zip_derived_cl6, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.22/0.80 thf(zip_derived_cl4, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.22/0.80 thf(cls_Set_OUnionI_0, axiom,
% 0.22/0.80 (( ~( c_in @ V_A @ V_X @ T_a ) ) |
% 0.22/0.80 ( ~( c_in @ V_X @ V_C @ ( tc_set @ T_a ) ) ) |
% 0.22/0.80 ( c_in @ V_A @ ( c_Union @ V_C @ T_a ) @ T_a ))).
% 0.22/0.80 thf(zip_derived_cl2, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 (~ (c_in @ X0 @ X1 @ X2)
% 0.22/0.80 | ~ (c_in @ X1 @ X3 @ (tc_set @ X2))
% 0.22/0.80 | (c_in @ X0 @ (c_Union @ X3 @ X2) @ X2))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OUnionI_0])).
% 0.22/0.80 thf(zip_derived_cl43, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 (~ (c_in @ X3 @ X2 @ X0)
% 0.22/0.80 | (c_in @ X3 @
% 0.22/0.80 (c_Union @ (c_insert @ X2 @ X1 @ (tc_set @ X0)) @ X0) @ X0))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.22/0.80 thf(zip_derived_cl7, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.22/0.80 thf(zip_derived_cl57, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.80 (~ (c_in @
% 0.22/0.80 (c_Main_OsubsetI__1 @ X3 @
% 0.22/0.80 (c_Union @ (c_insert @ X2 @ X1 @ (tc_set @ X0)) @ X0) @ X0) @
% 0.22/0.80 X2 @ X0)
% 0.22/0.80 | (c_lessequals @ X3 @
% 0.22/0.80 (c_Union @ (c_insert @ X2 @ X1 @ (tc_set @ X0)) @ X0) @
% 0.22/0.80 (tc_set @ X0)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 0.22/0.80 thf(zip_derived_cl128, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_lessequals @ X1 @
% 0.22/0.80 (c_Union @ (c_insert @ X1 @ X2 @ (tc_set @ X0)) @ X0) @
% 0.22/0.80 (tc_set @ X0))
% 0.22/0.80 | (c_lessequals @ X1 @
% 0.22/0.80 (c_Union @ (c_insert @ X1 @ X2 @ (tc_set @ X0)) @ X0) @
% 0.22/0.80 (tc_set @ X0)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl57])).
% 0.22/0.80 thf(zip_derived_cl132, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (c_lessequals @ X1 @
% 0.22/0.80 (c_Union @ (c_insert @ X1 @ X2 @ (tc_set @ X0)) @ X0) @
% 0.22/0.80 (tc_set @ X0))),
% 0.22/0.80 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.22/0.80 thf(zip_derived_cl136, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ X2 @ X0 @ (tc_set @ X1))
% 0.22/0.80 | (c_lessequals @ X2 @ (c_Union @ X0 @ X1) @ (tc_set @ X1)))),
% 0.22/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl132])).
% 0.22/0.80 thf(zip_derived_cl6, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.22/0.80 thf(cls_conjecture_1, conjecture,
% 0.22/0.80 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_b ) ) ) |
% 0.22/0.80 ( c_lessequals @ ( c_Union @ v_S @ t_b ) @ V_U @ ( tc_set @ t_b ) ) ))).
% 0.22/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.22/0.80 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_b ) ) ) |
% 0.22/0.80 ( c_lessequals @ ( c_Union @ v_S @ t_b ) @ V_U @ ( tc_set @ t_b ) )),
% 0.22/0.80 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.22/0.80 thf(zip_derived_cl1, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 (~ (c_in @ X0 @ v_S @ (tc_set @ t_b))
% 0.22/0.80 | (c_lessequals @ (c_Union @ v_S @ t_b) @ X0 @ (tc_set @ t_b)))),
% 0.22/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.80 thf(zip_derived_cl8, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.22/0.80 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.22/0.80 | ((X1) = (X0)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.22/0.80 thf(zip_derived_cl44, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 (~ (c_in @ X0 @ v_S @ (tc_set @ t_b))
% 0.22/0.80 | ~ (c_lessequals @ X0 @ (c_Union @ v_S @ t_b) @ (tc_set @ t_b))
% 0.22/0.80 | ((X0) = (c_Union @ v_S @ t_b)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 0.22/0.80 thf(zip_derived_cl51, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_b)))
% 0.22/0.80 | ~ (c_lessequals @
% 0.22/0.80 (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_b)) @
% 0.22/0.80 (c_Union @ v_S @ t_b) @ (tc_set @ t_b))
% 0.22/0.80 | ((c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_b))
% 0.22/0.80 = (c_Union @ v_S @ t_b)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl44])).
% 0.22/0.80 thf(zip_derived_cl139, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_b)) @ v_S @
% 0.22/0.80 (tc_set @ t_b))
% 0.22/0.80 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_b)))
% 0.22/0.80 | ((c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_b))
% 0.22/0.80 = (c_Union @ v_S @ t_b)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl51])).
% 0.22/0.80 thf(zip_derived_cl6, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 0.22/0.80 thf(zip_derived_cl141, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 (((c_Main_OsubsetI__1 @ v_S @ X0 @ (tc_set @ t_b))
% 0.22/0.80 = (c_Union @ v_S @ t_b))
% 0.22/0.80 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_b))))),
% 0.22/0.80 inference('clc', [status(thm)], [zip_derived_cl139, zip_derived_cl6])).
% 0.22/0.80 thf(zip_derived_cl7, plain,
% 0.22/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.22/0.80 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 0.22/0.80 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 0.22/0.80 thf(zip_derived_cl143, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 ( (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_b)))
% 0.22/0.80 | ~ (c_in @ (c_Union @ v_S @ t_b) @ X0 @ (tc_set @ t_b))
% 0.22/0.80 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_b))))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl7])).
% 0.22/0.80 thf(zip_derived_cl148, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 (~ (c_in @ (c_Union @ v_S @ t_b) @ X0 @ (tc_set @ t_b))
% 0.22/0.80 | (c_lessequals @ v_S @ X0 @ (tc_set @ (tc_set @ t_b))))),
% 0.22/0.80 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 0.22/0.80 thf(zip_derived_cl208, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 (c_lessequals @ v_S @
% 0.22/0.80 (c_insert @ (c_Union @ v_S @ t_b) @ X0 @ (tc_set @ t_b)) @
% 0.22/0.80 (tc_set @ (tc_set @ t_b)))),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl148])).
% 0.22/0.80 thf(cls_conjecture_0, conjecture,
% 0.22/0.80 (c_lessequals @
% 0.22/0.80 v_S @ ( c_insert @ V_U @ c_emptyset @ ( tc_set @ t_b ) ) @
% 0.22/0.80 ( tc_set @ ( tc_set @ t_b ) ))).
% 0.22/0.80 thf(zf_stmt_1, negated_conjecture,
% 0.22/0.80 (~( c_lessequals @
% 0.22/0.80 v_S @ ( c_insert @ V_U @ c_emptyset @ ( tc_set @ t_b ) ) @
% 0.22/0.80 ( tc_set @ ( tc_set @ t_b ) ) )),
% 0.22/0.80 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.22/0.80 thf(zip_derived_cl0, plain,
% 0.22/0.80 (![X0 : $i]:
% 0.22/0.80 ~ (c_lessequals @ v_S @
% 0.22/0.80 (c_insert @ X0 @ c_emptyset @ (tc_set @ t_b)) @
% 0.22/0.80 (tc_set @ (tc_set @ t_b)))),
% 0.22/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.80 thf(zip_derived_cl222, plain, ($false),
% 0.22/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl0])).
% 0.22/0.80
% 0.22/0.80 % SZS output end Refutation
% 0.22/0.80
% 0.22/0.80
% 0.22/0.80 % Terminating...
% 1.40/0.85 % Runner terminated.
% 1.40/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------