TSTP Solution File: SET860-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET860-2 : 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.T2w0rJj2NN true
% Computer : n004.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 16:16:30 EDT 2023
% Result : Unsatisfiable 1.54s 0.85s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET860-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T2w0rJj2NN true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 08:14:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.54/0.85 % Solved by fo/fo4.sh.
% 1.54/0.85 % done 109 iterations in 0.074s
% 1.54/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.54/0.85 % SZS output start Refutation
% 1.54/0.85 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 1.54/0.85 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 1.54/0.85 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 1.54/0.85 thf(v_B_type, type, v_B: $i).
% 1.54/0.85 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 1.54/0.85 thf(c_Main_OUnionE__1_type, type, c_Main_OUnionE__1: $i > $i > $i > $i).
% 1.54/0.85 thf(v_C_type, type, v_C: $i).
% 1.54/0.85 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.54/0.85 thf(tc_set_type, type, tc_set: $i > $i).
% 1.54/0.85 thf(t_a_type, type, t_a: $i).
% 1.54/0.85 thf(v_A_type, type, v_A: $i).
% 1.54/0.85 thf(cls_conjecture_1, conjecture,
% 1.54/0.85 (c_lessequals @ v_B @ ( c_Union @ v_C @ t_a ) @ ( tc_set @ t_a ))).
% 1.54/0.85 thf(zf_stmt_0, negated_conjecture,
% 1.54/0.85 (~( c_lessequals @ v_B @ ( c_Union @ v_C @ t_a ) @ ( tc_set @ t_a ) )),
% 1.54/0.85 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.54/0.85 thf(zip_derived_cl1, plain,
% 1.54/0.85 (~ (c_lessequals @ v_B @ (c_Union @ v_C @ t_a) @ (tc_set @ t_a))),
% 1.54/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.54/0.85 thf(cls_Set_OsubsetI_0, axiom,
% 1.54/0.85 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 1.54/0.85 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 1.54/0.85 thf(zip_derived_cl21, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.54/0.85 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.54/0.85 thf(cls_Set_OsubsetI_1, axiom,
% 1.54/0.85 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 1.54/0.85 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 1.54/0.85 thf(zip_derived_cl22, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 1.54/0.85 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 1.54/0.85 thf(cls_Set_OUnionE_1, axiom,
% 1.54/0.85 (( ~( c_in @ V_A @ ( c_Union @ V_C @ T_a ) @ T_a ) ) |
% 1.54/0.85 ( c_in @ V_A @ ( c_Main_OUnionE__1 @ V_A @ V_C @ T_a ) @ T_a ))).
% 1.54/0.85 thf(zip_derived_cl14, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ (c_Union @ X1 @ X2) @ X2)
% 1.54/0.85 | (c_in @ X0 @ (c_Main_OUnionE__1 @ X0 @ X1 @ X2) @ X2))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OUnionE_1])).
% 1.54/0.85 thf(zip_derived_cl21, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.54/0.85 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.54/0.85 thf(cls_Set_OUnionE_0, axiom,
% 1.54/0.85 (( ~( c_in @ V_A @ ( c_Union @ V_C @ T_a ) @ T_a ) ) |
% 1.54/0.85 ( c_in @ ( c_Main_OUnionE__1 @ V_A @ V_C @ T_a ) @ V_C @ ( tc_set @ T_a ) ))).
% 1.54/0.85 thf(zip_derived_cl13, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ (c_Union @ X1 @ X2) @ X2)
% 1.54/0.85 | (c_in @ (c_Main_OUnionE__1 @ X0 @ X1 @ X2) @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OUnionE_0])).
% 1.54/0.85 thf(cls_conjecture_2, conjecture,
% 1.54/0.85 (~( ( ~( c_in @ V_U @ v_C @ ( tc_set @ t_a ) ) ) |
% 1.54/0.85 ( c_lessequals @ V_U @ v_A @ ( tc_set @ t_a ) ) |
% 1.54/0.85 ( c_lessequals @ v_B @ V_U @ ( tc_set @ t_a ) ) ))).
% 1.54/0.85 thf(zf_stmt_1, negated_conjecture,
% 1.54/0.85 (( ~( c_in @ V_U @ v_C @ ( tc_set @ t_a ) ) ) |
% 1.54/0.85 ( c_lessequals @ V_U @ v_A @ ( tc_set @ t_a ) ) |
% 1.54/0.85 ( c_lessequals @ v_B @ V_U @ ( tc_set @ t_a ) )),
% 1.54/0.85 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.54/0.85 thf(zip_derived_cl2, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ v_C @ (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ v_B @ X0 @ (tc_set @ t_a)))),
% 1.54/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.54/0.85 thf(zip_derived_cl76, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ (c_Union @ v_C @ t_a) @ t_a)
% 1.54/0.85 | (c_lessequals @ v_B @ (c_Main_OUnionE__1 @ X0 @ v_C @ t_a) @
% 1.54/0.85 (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ (c_Main_OUnionE__1 @ X0 @ v_C @ t_a) @ v_A @
% 1.54/0.85 (tc_set @ t_a)))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 1.54/0.85 thf(zip_derived_cl97, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 ( (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @ v_C @
% 1.54/0.85 t_a) @
% 1.54/0.85 v_A @ (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ v_B @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @ v_C @
% 1.54/0.85 t_a) @
% 1.54/0.85 (tc_set @ t_a)))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl76])).
% 1.54/0.85 thf(cls_Set_OsubsetD_0, axiom,
% 1.54/0.85 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 1.54/0.85 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 1.54/0.85 ( c_in @ V_c @ V_B @ T_a ))).
% 1.54/0.85 thf(zip_derived_cl20, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ X1 @ X2)
% 1.54/0.85 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 1.54/0.85 | (c_in @ X0 @ X3 @ X2))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 1.54/0.85 thf(zip_derived_cl136, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i]:
% 1.54/0.85 ( (c_lessequals @ v_B @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @ v_C @
% 1.54/0.85 t_a) @
% 1.54/0.85 (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ X1 @ v_A @ t_a)
% 1.54/0.85 | ~ (c_in @ X1 @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 v_C @ t_a) @
% 1.54/0.85 t_a))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl20])).
% 1.54/0.85 thf(zip_derived_cl186, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 (~ (c_in @ (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 (c_Union @ v_C @ t_a) @ t_a)
% 1.54/0.85 | (c_in @ (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 v_A @ t_a)
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ v_B @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @ v_C @
% 1.54/0.85 t_a) @
% 1.54/0.85 (tc_set @ t_a)))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl136])).
% 1.54/0.85 thf(zip_derived_cl21, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.54/0.85 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.54/0.85 thf(zip_derived_cl188, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 ( (c_lessequals @ v_B @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @ v_C @
% 1.54/0.85 t_a) @
% 1.54/0.85 (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 v_A @ t_a))),
% 1.54/0.85 inference('clc', [status(thm)], [zip_derived_cl186, zip_derived_cl21])).
% 1.54/0.85 thf(cls_Set_OComplI_0, axiom,
% 1.54/0.85 (( c_in @ V_c @ V_A @ T_a ) |
% 1.54/0.85 ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ))).
% 1.54/0.85 thf(zip_derived_cl4, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 ( (c_in @ X0 @ X1 @ X2)
% 1.54/0.85 | (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OComplI_0])).
% 1.54/0.85 thf(cls_Set_OCompl__subset__Compl__iff__iff2_0, axiom,
% 1.54/0.85 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 1.54/0.85 ( c_lessequals @
% 1.54/0.85 ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @
% 1.54/0.85 ( c_uminus @ V_B @ ( tc_set @ T_a ) ) @ ( tc_set @ T_a ) ))).
% 1.54/0.85 thf(zip_derived_cl6, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 1.54/0.85 | (c_lessequals @ (c_uminus @ X1 @ (tc_set @ X2)) @
% 1.54/0.85 (c_uminus @ X0 @ (tc_set @ X2)) @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)],
% 1.54/0.85 [cls_Set_OCompl__subset__Compl__iff__iff2_0])).
% 1.54/0.85 thf(zip_derived_cl20, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ X1 @ X2)
% 1.54/0.85 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 1.54/0.85 | (c_in @ X0 @ X3 @ X2))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 1.54/0.85 thf(zip_derived_cl86, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.54/0.85 (~ (c_lessequals @ X1 @ X2 @ (tc_set @ X0))
% 1.54/0.85 | (c_in @ X3 @ (c_uminus @ X1 @ (tc_set @ X0)) @ X0)
% 1.54/0.85 | ~ (c_in @ X3 @ (c_uminus @ X2 @ (tc_set @ X0)) @ X0))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl20])).
% 1.54/0.85 thf(zip_derived_cl203, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.54/0.85 ( (c_in @ X2 @ X1 @ X0)
% 1.54/0.85 | (c_in @ X2 @ (c_uminus @ X3 @ (tc_set @ X0)) @ X0)
% 1.54/0.85 | ~ (c_lessequals @ X3 @ X1 @ (tc_set @ X0)))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl86])).
% 1.54/0.85 thf(zip_derived_cl210, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i]:
% 1.54/0.85 ( (c_in @ (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 v_A @ t_a)
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ X1 @ (c_uminus @ v_B @ (tc_set @ t_a)) @ t_a)
% 1.54/0.85 | (c_in @ X1 @
% 1.54/0.85 (c_Main_OUnionE__1 @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @ v_C @
% 1.54/0.85 t_a) @
% 1.54/0.85 t_a))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl188, zip_derived_cl203])).
% 1.54/0.85 thf(zip_derived_cl13, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ (c_Union @ X1 @ X2) @ X2)
% 1.54/0.85 | (c_in @ (c_Main_OUnionE__1 @ X0 @ X1 @ X2) @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OUnionE_0])).
% 1.54/0.85 thf(cls_Set_OUnionI_0, axiom,
% 1.54/0.85 (( ~( c_in @ V_A @ V_X @ T_a ) ) |
% 1.54/0.85 ( ~( c_in @ V_X @ V_C @ ( tc_set @ T_a ) ) ) |
% 1.54/0.85 ( c_in @ V_A @ ( c_Union @ V_C @ T_a ) @ T_a ))).
% 1.54/0.85 thf(zip_derived_cl15, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ X1 @ X2)
% 1.54/0.85 | ~ (c_in @ X1 @ X3 @ (tc_set @ X2))
% 1.54/0.85 | (c_in @ X0 @ (c_Union @ X3 @ X2) @ X2))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OUnionI_0])).
% 1.54/0.85 thf(zip_derived_cl74, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.54/0.85 (~ (c_in @ X2 @ (c_Union @ X1 @ X0) @ X0)
% 1.54/0.85 | (c_in @ X3 @ (c_Union @ X1 @ X0) @ X0)
% 1.54/0.85 | ~ (c_in @ X3 @ (c_Main_OUnionE__1 @ X2 @ X1 @ X0) @ X0))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 1.54/0.85 thf(zip_derived_cl239, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i]:
% 1.54/0.85 ( (c_in @ X1 @ (c_uminus @ v_B @ (tc_set @ t_a)) @ t_a)
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 v_A @ t_a)
% 1.54/0.85 | (c_in @ X1 @ (c_Union @ v_C @ t_a) @ t_a)
% 1.54/0.85 | ~ (c_in @
% 1.54/0.85 (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 (c_Union @ v_C @ t_a) @ t_a))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl74])).
% 1.54/0.85 thf(zip_derived_cl21, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.54/0.85 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.54/0.85 thf(zip_derived_cl246, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i]:
% 1.54/0.85 ( (c_in @ X1 @ (c_Union @ v_C @ t_a) @ t_a)
% 1.54/0.85 | (c_in @ (c_Main_OsubsetI__1 @ (c_Union @ v_C @ t_a) @ X0 @ t_a) @
% 1.54/0.85 v_A @ t_a)
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ X0 @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ X1 @ (c_uminus @ v_B @ (tc_set @ t_a)) @ t_a))),
% 1.54/0.85 inference('clc', [status(thm)], [zip_derived_cl239, zip_derived_cl21])).
% 1.54/0.85 thf(zip_derived_cl255, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 ( (c_lessequals @ (c_Union @ v_C @ t_a) @ v_A @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ X0 @ (c_uminus @ v_B @ (tc_set @ t_a)) @ t_a)
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ v_A @ (tc_set @ t_a))
% 1.54/0.85 | (c_in @ X0 @ (c_Union @ v_C @ t_a) @ t_a))),
% 1.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl246])).
% 1.54/0.85 thf(zip_derived_cl259, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 ( (c_in @ X0 @ (c_Union @ v_C @ t_a) @ t_a)
% 1.54/0.85 | (c_in @ X0 @ (c_uminus @ v_B @ (tc_set @ t_a)) @ t_a)
% 1.54/0.85 | (c_lessequals @ (c_Union @ v_C @ t_a) @ v_A @ (tc_set @ t_a)))),
% 1.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl255])).
% 1.54/0.85 thf(cls_conjecture_0, conjecture,
% 1.54/0.85 (c_lessequals @ ( c_Union @ v_C @ t_a ) @ v_A @ ( tc_set @ t_a ))).
% 1.54/0.85 thf(zf_stmt_2, negated_conjecture,
% 1.54/0.85 (~( c_lessequals @ ( c_Union @ v_C @ t_a ) @ v_A @ ( tc_set @ t_a ) )),
% 1.54/0.85 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.54/0.85 thf(zip_derived_cl0, plain,
% 1.54/0.85 (~ (c_lessequals @ (c_Union @ v_C @ t_a) @ v_A @ (tc_set @ t_a))),
% 1.54/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.54/0.85 thf(zip_derived_cl266, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 ( (c_in @ X0 @ (c_uminus @ v_B @ (tc_set @ t_a)) @ t_a)
% 1.54/0.85 | (c_in @ X0 @ (c_Union @ v_C @ t_a) @ t_a))),
% 1.54/0.85 inference('clc', [status(thm)], [zip_derived_cl259, zip_derived_cl0])).
% 1.54/0.85 thf(cls_Set_OComplD__dest_0, axiom,
% 1.54/0.85 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 1.54/0.85 ( ~( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ))).
% 1.54/0.85 thf(zip_derived_cl3, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_in @ X0 @ X1 @ X2)
% 1.54/0.85 | ~ (c_in @ X0 @ (c_uminus @ X1 @ (tc_set @ X2)) @ X2))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OComplD__dest_0])).
% 1.54/0.85 thf(zip_derived_cl268, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 ( (c_in @ X0 @ (c_Union @ v_C @ t_a) @ t_a)
% 1.54/0.85 | ~ (c_in @ X0 @ v_B @ t_a))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl3])).
% 1.54/0.85 thf(zip_derived_cl22, plain,
% 1.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.54/0.85 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 1.54/0.85 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.54/0.85 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 1.54/0.85 thf(zip_derived_cl276, plain,
% 1.54/0.85 (![X0 : $i]:
% 1.54/0.85 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ (c_Union @ v_C @ t_a) @ t_a) @
% 1.54/0.85 v_B @ t_a)
% 1.54/0.85 | (c_lessequals @ X0 @ (c_Union @ v_C @ t_a) @ (tc_set @ t_a)))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl22])).
% 1.54/0.85 thf(zip_derived_cl281, plain,
% 1.54/0.85 (( (c_lessequals @ v_B @ (c_Union @ v_C @ t_a) @ (tc_set @ t_a))
% 1.54/0.85 | (c_lessequals @ v_B @ (c_Union @ v_C @ t_a) @ (tc_set @ t_a)))),
% 1.54/0.85 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl276])).
% 1.54/0.85 thf(zip_derived_cl282, plain,
% 1.54/0.85 ( (c_lessequals @ v_B @ (c_Union @ v_C @ t_a) @ (tc_set @ t_a))),
% 1.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 1.54/0.85 thf(zip_derived_cl284, plain, ($false),
% 1.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl282])).
% 1.54/0.85
% 1.54/0.85 % SZS output end Refutation
% 1.54/0.85
% 1.54/0.85
% 1.54/0.85 % Terminating...
% 1.75/0.95 % Runner terminated.
% 1.75/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------