%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT276-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jhai6Ng2nU true
% Computer : n022.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 04:41:19 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT276-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jhai6Ng2nU true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:32:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % Solved by fo/fo6_bce.sh.
% 0.56/0.77 % BCE start: 12
% 0.56/0.77 % BCE eliminated: 0
% 0.56/0.77 % PE start: 12
% 0.56/0.77 logic: eq
% 0.56/0.77 % PE eliminated: 1
% 0.56/0.77 % done 28 iterations in 0.042s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% 0.56/0.77 thf(t_a_type, type, t_a: $i).
% 0.56/0.77 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.56/0.77 thf(v_sko__4mP_type, type, v_sko__4mP: $i > $i > $i > $i).
% 0.56/0.77 thf(tc_set_type, type, tc_set: $i > $i).
% 0.56/0.77 thf(v_A_type, type, v_A: $i).
% 0.56/0.77 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.56/0.77 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.56/0.77 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.56/0.77 thf(c_Tarski_Olub_type, type, c_Tarski_Olub: $i > $i > $i > $i).
% 0.56/0.77 thf(c_Tarski_Opotype_Oorder_type, type, c_Tarski_Opotype_Oorder: $i > $i > $i > $i).
% 0.56/0.77 thf(v_S_type, type, v_S: $i).
% 0.56/0.77 thf(c_Tarski_Opotype_Opset_type, type, c_Tarski_Opotype_Opset: $i > $i > $i > $i).
% 0.56/0.77 thf(v_xa_type, type, v_xa: $i).
% 0.56/0.77 thf(v_r_type, type, v_r: $i).
% 0.56/0.77 thf(tc_Product__Type_Ounit_type, type, tc_Product__Type_Ounit: $i).
% 0.56/0.77 thf(v_cl_type, type, v_cl: $i).
% 0.56/0.77 thf(cls_conjecture_0, conjecture,
% 0.56/0.77 (~( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) ))).
% 0.56/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.77 (c_lessequals @ v_S @ v_A @ ( tc_set @ t_a )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.56/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0, axiom,
% 0.56/0.77 (( ~( c_in @ V_x @ V_S @ t_a ) ) |
% 0.56/0.77 ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ V_x @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.56/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 0.56/0.77 thf(zip_derived_cl10, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ X1 @ t_a)
% 0.56/0.77 | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ X0 @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('cnf', [status(esa)],
% 0.56/0.77 [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0])).
% 0.56/0.77 thf(zip_derived_cl77, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (((v_S) != (X0))
% 0.56/0.77 | ((v_A) != (v_A))
% 0.56/0.77 | ((tc_set @ t_a) != (tc_set @ t_a))
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ X1 @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X1 @ X0 @ t_a))),
% 0.56/0.77 inference('dp-resolution', [status(thm)],
% 0.56/0.77 [zip_derived_cl0, zip_derived_cl10])).
% 0.56/0.77 thf(zip_derived_cl90, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X1 @ X0 @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ X1 @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ((v_S) != (X0)))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 0.56/0.77 thf(cls_conjecture_10, conjecture,
% 0.56/0.77 (~( ( ~( c_in @
% 0.56/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.56/0.77 ( ~( c_in @ V_V @ v_S @ t_a ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ V_V @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ))).
% 0.56/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.77 (( ~( c_in @
% 0.56/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.56/0.77 ( ~( c_in @ V_V @ v_S @ t_a ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ V_V @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_10])).
% 0.56/0.77 thf(zip_derived_cl1, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (c_in @
% 0.56/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.56/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.77 thf(cls_Tarski_Or_A_61_61_Aorder_Acl_0, axiom,
% 0.56/0.77 (( v_r ) =
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl79, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (c_in @
% 0.56/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('demod', [status(thm)],
% 0.56/0.77 [zip_derived_cl1, zip_derived_cl11, zip_derived_cl11])).
% 0.56/0.77 thf(zip_derived_cl91, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (((v_S) != (v_S))
% 0.56/0.77 | ~ (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl79])).
% 0.56/0.77 thf(zip_derived_cl93, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.56/0.77 (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @ v_xa @ v_S @ t_a))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl91])).
% 0.56/0.77 thf(cls_conjecture_9, conjecture,
% 0.56/0.77 (~( ( c_in @ v_xa @ v_S @ t_a ) | ( ~( c_in @ V_U @ v_S @ t_a ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ V_U @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ))).
% 0.56/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.77 (( c_in @ v_xa @ v_S @ t_a ) | ( ~( c_in @ V_U @ v_S @ t_a ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ V_U @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 0.56/0.77 thf(zip_derived_cl5, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.56/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl82, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.56/0.77 thf(zip_derived_cl97, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl82])).
% 0.56/0.77 thf(zip_derived_cl97, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl82])).
% 0.56/0.77 thf(cls_conjecture_3, conjecture,
% 0.56/0.77 (~( ( c_in @ v_xa @ v_S @ t_a ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 v_xa @
% 0.56/0.77 ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 t_a ) ))).
% 0.56/0.77 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.77 (( c_in @ v_xa @ v_S @ t_a ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 v_xa @
% 0.56/0.77 ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.56/0.77 thf(zip_derived_cl2, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | (c_in @ v_xa @
% 0.56/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 t_a))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.77 thf(cls_Tarski_OA_A_61_61_Apset_Acl_0, axiom,
% 0.56/0.77 (( v_A ) = ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 0.56/0.77 thf(zip_derived_cl7, plain,
% 0.56/0.77 (((v_A) = (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_OA_A_61_61_Apset_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl78, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a) | (c_in @ v_xa @ v_A @ t_a))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.56/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1, axiom,
% 0.56/0.77 (( ~( c_in @ V_L @ v_A @ t_a ) ) |
% 0.56/0.77 ( ~( c_in @
% 0.56/0.77 ( c_Pair @ ( v_sko__4mP @ V_L @ V_S @ v_r ) @ V_L @ t_a @ t_a ) @
% 0.56/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 0.56/0.77 ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ V_L @ t_a @ t_a ) @
% 0.56/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 0.56/0.77 thf(zip_derived_cl9, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('cnf', [status(esa)],
% 0.56/0.77 [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1])).
% 0.56/0.77 thf(zip_derived_cl74, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (((v_S) != (X1))
% 0.56/0.77 | ((v_A) != (v_A))
% 0.56/0.77 | ((tc_set @ t_a) != (tc_set @ t_a))
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('dp-resolution', [status(thm)],
% 0.56/0.77 [zip_derived_cl0, zip_derived_cl9])).
% 0.56/0.77 thf(zip_derived_cl99, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ((v_S) != (X1)))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl74])).
% 0.56/0.77 thf(zip_derived_cl100, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ X0 @ v_S @ v_r) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl99])).
% 0.56/0.77 thf(zip_derived_cl102, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl100])).
% 0.56/0.77 thf(zip_derived_cl90, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X1 @ X0 @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ X1 @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ((v_S) != (X0)))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 0.56/0.77 thf(cls_conjecture_6, conjecture,
% 0.56/0.77 (~( ( ~( c_in @
% 0.56/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.56/0.77 ( ~( c_in @
% 0.56/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ) ))).
% 0.56/0.77 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.77 (( ~( c_in @
% 0.56/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.56/0.77 ( ~( c_in @
% 0.56/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 0.56/0.77 thf(zip_derived_cl4, plain,
% 0.56/0.77 ((~ (c_in @
% 0.56/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl81, plain,
% 0.56/0.77 ((~ (c_in @
% 0.56/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('demod', [status(thm)],
% 0.56/0.77 [zip_derived_cl4, zip_derived_cl11, zip_derived_cl11])).
% 0.56/0.77 thf(zip_derived_cl92, plain,
% 0.56/0.77 ((((v_S) != (v_S))
% 0.56/0.77 | ~ (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl81])).
% 0.56/0.77 thf(zip_derived_cl94, plain,
% 0.56/0.77 ((~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ v_xa @ v_S @ t_a))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl92])).
% 0.56/0.77 thf(cls_conjecture_4, conjecture,
% 0.56/0.77 (~( ( c_in @ v_xa @ v_S @ t_a ) |
% 0.56/0.77 ( ~( c_in @
% 0.56/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) ) ))).
% 0.56/0.77 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.77 (( c_in @ v_xa @ v_S @ t_a ) |
% 0.56/0.77 ( ~( c_in @
% 0.56/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.56/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.56/0.77 ( tc_prod @ t_a @ t_a ) ) )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.56/0.77 thf(zip_derived_cl3, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.56/0.77 (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.56/0.77 thf(zip_derived_cl80, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.56/0.77 thf(zip_derived_cl95, plain,
% 0.56/0.77 (~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl80])).
% 0.56/0.77 thf(zip_derived_cl103, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl95])).
% 0.56/0.77 thf(zip_derived_cl104, plain,
% 0.56/0.77 ((~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)
% 0.56/0.77 | (c_in @ v_xa @ v_S @ t_a))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl103])).
% 0.56/0.77 thf(zip_derived_cl78, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a) | (c_in @ v_xa @ v_A @ t_a))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.56/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0, axiom,
% 0.56/0.77 (( ~( c_in @ V_L @ v_A @ t_a ) ) |
% 0.56/0.77 ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) |
% 0.56/0.77 ( c_in @
% 0.56/0.77 ( c_Pair @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ V_L @ t_a @ t_a ) @
% 0.56/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ) |
% 0.56/0.77 ( c_in @ ( v_sko__4mP @ V_L @ V_S @ v_r ) @ V_S @ t_a ))).
% 0.56/0.77 thf(zip_derived_cl8, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.56/0.77 | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | (c_in @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X1 @ t_a))),
% 0.56/0.77 inference('cnf', [status(esa)],
% 0.56/0.77 [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0])).
% 0.56/0.77 thf(zip_derived_cl71, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (((v_S) != (X1))
% 0.56/0.77 | ((v_A) != (v_A))
% 0.56/0.77 | ((tc_set @ t_a) != (tc_set @ t_a))
% 0.56/0.77 | (c_in @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X1 @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('dp-resolution', [status(thm)],
% 0.56/0.77 [zip_derived_cl0, zip_derived_cl8])).
% 0.56/0.77 thf(zip_derived_cl88, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | (c_in @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X1 @ t_a)
% 0.56/0.77 | ((v_S) != (X1)))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl71])).
% 0.56/0.77 thf(zip_derived_cl89, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (c_in @ (v_sko__4mP @ X0 @ v_S @ v_r) @ v_S @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl88])).
% 0.56/0.77 thf(zip_derived_cl95, plain,
% 0.56/0.77 (~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl80])).
% 0.56/0.77 thf(zip_derived_cl105, plain,
% 0.56/0.77 ((~ (c_in @ v_xa @ v_A @ t_a)
% 0.56/0.77 | (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl95])).
% 0.56/0.77 thf(zip_derived_cl107, plain,
% 0.56/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl105])).
% 0.56/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(cls_Set_OsubsetD_0, axiom,
% 0.56/0.77 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.56/0.77 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.56/0.77 ( c_in @ V_c @ V_B @ T_a ))).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.56/0.77 | (c_in @ X0 @ X3 @ X2))),
% 0.56/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.56/0.77 thf(zip_derived_cl68, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 (((v_S) != (X1))
% 0.56/0.77 | ((v_A) != (X3))
% 0.56/0.77 | ((tc_set @ t_a) != (tc_set @ X0))
% 0.56/0.77 | (c_in @ X2 @ X3 @ X0)
% 0.56/0.77 | ~ (c_in @ X2 @ X1 @ X0))),
% 0.56/0.77 inference('dp-resolution', [status(thm)],
% 0.56/0.77 [zip_derived_cl0, zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl85, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77 (~ (c_in @ X1 @ v_S @ X0)
% 0.56/0.77 | (c_in @ X1 @ X2 @ X0)
% 0.56/0.77 | ((tc_set @ t_a) != (tc_set @ X0))
% 0.56/0.77 | ((v_A) != (X2)))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl68])).
% 0.56/0.77 thf(zip_derived_cl86, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (((tc_set @ t_a) != (tc_set @ X0))
% 0.56/0.77 | (c_in @ X1 @ v_A @ X0)
% 0.56/0.77 | ~ (c_in @ X1 @ v_S @ X0))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl85])).
% 0.56/0.77 thf(zip_derived_cl87, plain,
% 0.56/0.77 (![X0 : $i]: (~ (c_in @ X0 @ v_S @ t_a) | (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 0.56/0.77 thf(zip_derived_cl105, plain,
% 0.56/0.77 ((~ (c_in @ v_xa @ v_A @ t_a)
% 0.56/0.77 | (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl95])).
% 0.56/0.77 thf(zip_derived_cl106, plain,
% 0.56/0.77 ((~ (c_in @ v_xa @ v_S @ t_a)
% 0.56/0.77 | (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl105])).
% 0.56/0.77 thf(zip_derived_cl108, plain,
% 0.56/0.77 ( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl107, zip_derived_cl106])).
% 0.56/0.77 thf(zip_derived_cl109, plain, ( (c_in @ v_xa @ v_S @ t_a)),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl108])).
% 0.56/0.77 thf(zip_derived_cl87, plain,
% 0.56/0.77 (![X0 : $i]: (~ (c_in @ X0 @ v_S @ t_a) | (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 0.56/0.77 thf(zip_derived_cl100, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ X0 @ v_S @ v_r) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @ X0 @ v_A @ t_a))),
% 0.56/0.77 inference('eq_res', [status(thm)], [zip_derived_cl99])).
% 0.56/0.77 thf(zip_derived_cl101, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.56/0.77 | (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ X0 @ v_S @ v_r) @ X0 @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl100])).
% 0.56/0.77 thf(zip_derived_cl111, plain,
% 0.56/0.77 (( (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.56/0.77 | ~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl101])).
% 0.56/0.77 thf(zip_derived_cl95, plain,
% 0.56/0.77 (~ (c_in @
% 0.56/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl80])).
% 0.56/0.77 thf(zip_derived_cl112, plain,
% 0.56/0.77 (~ (c_in @
% 0.56/0.77 (c_Pair @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_xa @ t_a @ t_a) @
% 0.56/0.77 v_r @ (tc_prod @ t_a @ t_a))),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl95])).
% 0.56/0.77 thf(zip_derived_cl113, plain,
% 0.56/0.77 (~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl112])).
% 0.56/0.77 thf(zip_derived_cl108, plain,
% 0.56/0.77 ( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)),
% 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl107, zip_derived_cl106])).
% 0.56/0.77 thf(zip_derived_cl114, plain, ($false),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl108])).
% 0.56/0.77
% 0.56/0.77 % SZS output end Refutation
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 0.56/0.84 % Runner terminated.
% 0.56/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------