TSTP Solution File: LAT276-2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT276-2 : 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.JYDA3jzEkr true
% Computer : n023.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 06:46:28 EDT 2023
% Result : Unsatisfiable 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JYDA3jzEkr true
% 0.14/0.35 % Computer : n023.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 : Thu Aug 24 07:18:12 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.77 % Solved by fo/fo1_av.sh.
% 0.59/0.77 % done 44 iterations in 0.017s
% 0.59/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.77 % SZS output start Refutation
% 0.59/0.77 thf(t_a_type, type, t_a: $i).
% 0.59/0.77 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.59/0.77 thf(v_sko__4mP_type, type, v_sko__4mP: $i > $i > $i > $i).
% 0.59/0.77 thf(tc_set_type, type, tc_set: $i > $i).
% 0.59/0.77 thf(v_A_type, type, v_A: $i).
% 0.59/0.77 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.59/0.77 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.59/0.77 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.59/0.77 thf(c_Tarski_Olub_type, type, c_Tarski_Olub: $i > $i > $i > $i).
% 0.59/0.77 thf(c_Tarski_Opotype_Oorder_type, type, c_Tarski_Opotype_Oorder: $i > $i > $i > $i).
% 0.59/0.77 thf(v_S_type, type, v_S: $i).
% 0.59/0.77 thf(c_Tarski_Opotype_Opset_type, type, c_Tarski_Opotype_Opset: $i > $i > $i > $i).
% 0.59/0.77 thf(v_xa_type, type, v_xa: $i).
% 0.59/0.77 thf(v_r_type, type, v_r: $i).
% 0.59/0.77 thf(tc_Product__Type_Ounit_type, type, tc_Product__Type_Ounit: $i).
% 0.59/0.77 thf(v_cl_type, type, v_cl: $i).
% 0.59/0.77 thf(cls_conjecture_9, conjecture,
% 0.59/0.77 (~( ( c_in @ v_xa @ v_S @ t_a ) | ( ~( c_in @ V_U @ v_S @ t_a ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ V_U @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ))).
% 0.59/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.77 (( c_in @ v_xa @ v_S @ t_a ) | ( ~( c_in @ V_U @ v_S @ t_a ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ V_U @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) )),
% 0.59/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 0.59/0.77 thf(zip_derived_cl5, plain,
% 0.59/0.77 (![X0 : $i]:
% 0.59/0.77 ( (c_in @ v_xa @ v_S @ t_a)
% 0.59/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.77 thf('0', plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))) |
% 0.59/0.77 ( (c_in @ v_xa @ v_S @ t_a))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.59/0.77 thf(cls_conjecture_0, conjecture,
% 0.59/0.77 (~( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) ))).
% 0.59/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.77 (c_lessequals @ v_S @ v_A @ ( tc_set @ t_a )),
% 0.59/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.59/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.77 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,
% 0.59/0.77 (( ~( c_in @ V_L @ v_A @ t_a ) ) |
% 0.59/0.77 ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ V_L @ t_a @ t_a ) @
% 0.59/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ) |
% 0.59/0.77 ( c_in @ ( v_sko__4mP @ V_L @ V_S @ v_r ) @ V_S @ t_a ))).
% 0.59/0.77 thf(zip_derived_cl8, plain,
% 0.59/0.77 (![X0 : $i, X1 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.59/0.77 | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | (c_in @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X1 @ t_a))),
% 0.59/0.77 inference('cnf', [status(esa)],
% 0.59/0.77 [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])).
% 0.59/0.77 thf(zip_derived_cl38, plain,
% 0.59/0.77 (![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | (c_in @ (v_sko__4mP @ X0 @ v_S @ v_r) @ v_S @ t_a))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 0.59/0.77 thf(cls_Tarski_Or_A_61_61_Aorder_Acl_0, axiom,
% 0.59/0.77 (( v_r ) =
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 0.59/0.77 thf(zip_derived_cl11, plain,
% 0.59/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.59/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.59/0.77 thf(cls_conjecture_4, conjecture,
% 0.59/0.77 (~( ( c_in @ v_xa @ v_S @ t_a ) |
% 0.59/0.77 ( ~( c_in @
% 0.59/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ) ))).
% 0.59/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.77 (( c_in @ v_xa @ v_S @ t_a ) |
% 0.59/0.77 ( ~( c_in @
% 0.59/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) )),
% 0.59/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.59/0.77 thf(zip_derived_cl3, plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.59/0.77 | ~ (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.77 thf(zip_derived_cl16, plain,
% 0.59/0.77 ((~ (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.59/0.77 thf(zip_derived_cl27, plain,
% 0.59/0.77 ((~ (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a)))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl16])).
% 0.59/0.77 thf(zip_derived_cl39, plain,
% 0.59/0.77 ((( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)
% 0.59/0.77 | ~ (c_in @ v_xa @ v_A @ t_a)))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl27])).
% 0.59/0.77 thf('1', plain,
% 0.59/0.77 (( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)) |
% 0.59/0.77 ~ ( (c_in @ v_xa @ v_A @ t_a)) |
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.59/0.77 thf('2', plain,
% 0.59/0.77 (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))) |
% 0.59/0.77 ( (c_in @ v_xa @ v_S @ t_a))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.59/0.77 thf(cls_conjecture_6, conjecture,
% 0.59/0.77 (~( ( ~( c_in @
% 0.59/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.59/0.77 ( ~( c_in @
% 0.59/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ) ))).
% 0.59/0.77 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.77 (( ~( c_in @
% 0.59/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.59/0.77 ( ~( c_in @
% 0.59/0.77 ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) )),
% 0.59/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 0.59/0.77 thf(zip_derived_cl4, plain,
% 0.59/0.77 ((~ (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.77 thf('3', plain,
% 0.59/0.77 (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))) |
% 0.59/0.77 ~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.59/0.77 thf(cls_conjecture_10, conjecture,
% 0.59/0.77 (~( ( ~( c_in @
% 0.59/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.59/0.77 ( ~( c_in @ V_V @ v_S @ t_a ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ V_V @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ))).
% 0.59/0.77 thf(zf_stmt_4, negated_conjecture,
% 0.59/0.77 (( ~( c_in @
% 0.59/0.77 ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) ) ) |
% 0.59/0.77 ( ~( c_in @ V_V @ v_S @ t_a ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ V_V @ v_xa @ t_a @ t_a ) @
% 0.59/0.77 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 ( tc_prod @ t_a @ t_a ) )),
% 0.59/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_10])).
% 0.59/0.77 thf(zip_derived_cl1, plain,
% 0.59/0.77 (![X0 : $i]:
% 0.59/0.77 (~ (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.77 thf('4', plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))) |
% 0.59/0.77 ~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.59/0.77 thf(zip_derived_cl41, plain,
% 0.59/0.77 ((~ (c_in @ v_xa @ v_A @ t_a)) <= (~ ( (c_in @ v_xa @ v_A @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.59/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.77 thf(cls_Set_OsubsetD_0, axiom,
% 0.59/0.77 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.59/0.77 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.59/0.77 ( c_in @ V_c @ V_B @ T_a ))).
% 0.59/0.77 thf(zip_derived_cl6, plain,
% 0.59/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.77 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.59/0.77 | (c_in @ X0 @ X3 @ X2))),
% 0.59/0.77 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.59/0.77 thf(zip_derived_cl28, plain,
% 0.59/0.77 (![X0 : $i]: (~ (c_in @ X0 @ v_S @ t_a) | (c_in @ X0 @ v_A @ t_a))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 0.59/0.77 thf(zip_derived_cl46, plain,
% 0.59/0.77 ((~ (c_in @ v_xa @ v_S @ t_a)) <= (~ ( (c_in @ v_xa @ v_A @ t_a)))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl28])).
% 0.59/0.77 thf(cls_conjecture_3, conjecture,
% 0.59/0.77 (~( ( c_in @ v_xa @ v_S @ t_a ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 v_xa @
% 0.59/0.77 ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @
% 0.59/0.77 t_a ) ))).
% 0.59/0.77 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.77 (( c_in @ v_xa @ v_S @ t_a ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 v_xa @
% 0.59/0.77 ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a )),
% 0.59/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.59/0.77 thf(zip_derived_cl2, plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_S @ t_a)
% 0.59/0.77 | (c_in @ v_xa @
% 0.59/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 t_a))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.77 thf(zip_derived_cl15, plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_S @ t_a)) <= (( (c_in @ v_xa @ v_S @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.59/0.77 thf('5', plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_A @ t_a)) | ~ ( (c_in @ v_xa @ v_S @ t_a))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl15])).
% 0.59/0.77 thf(zip_derived_cl11, plain,
% 0.59/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.59/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.59/0.77 thf(zip_derived_cl13, plain,
% 0.59/0.77 ((~ (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.59/0.77 thf(zip_derived_cl26, plain,
% 0.59/0.77 ((~ (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a)))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl13])).
% 0.59/0.77 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,
% 0.59/0.77 (( ~( c_in @ V_x @ V_S @ t_a ) ) |
% 0.59/0.77 ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ V_x @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ t_a @ t_a ) @
% 0.59/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 0.59/0.77 thf(zip_derived_cl10, plain,
% 0.59/0.77 (![X0 : $i, X1 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ X1 @ t_a)
% 0.59/0.77 | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ X0 @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('cnf', [status(esa)],
% 0.59/0.77 [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])).
% 0.59/0.77 thf(zip_derived_cl33, plain,
% 0.59/0.77 (((~ (c_in @ v_xa @ v_S @ t_a)
% 0.59/0.77 | ~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl10])).
% 0.59/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.77 thf(zip_derived_cl34, plain,
% 0.59/0.77 ((~ (c_in @ v_xa @ v_S @ t_a))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 0.59/0.77 thf(zip_derived_cl15, plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_S @ t_a)) <= (( (c_in @ v_xa @ v_S @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.59/0.77 thf('6', plain,
% 0.59/0.77 (( (c_in @
% 0.59/0.77 (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))) |
% 0.59/0.77 ~ ( (c_in @ v_xa @ v_S @ t_a))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl15])).
% 0.59/0.77 thf('7', plain,
% 0.59/0.77 (( (c_in @ v_xa @
% 0.59/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @ t_a)) |
% 0.59/0.77 ( (c_in @ v_xa @ v_S @ t_a))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.59/0.77 thf(zip_derived_cl41, plain,
% 0.59/0.77 ((~ (c_in @ v_xa @ v_A @ t_a)) <= (~ ( (c_in @ v_xa @ v_A @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.59/0.77 thf(zip_derived_cl14, plain,
% 0.59/0.77 (( (c_in @ v_xa @
% 0.59/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @ t_a))
% 0.59/0.77 <= (( (c_in @ v_xa @
% 0.59/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.59/0.77 thf(cls_Tarski_OA_A_61_61_Apset_Acl_0, axiom,
% 0.59/0.77 (( v_A ) = ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 0.59/0.77 thf(zip_derived_cl7, plain,
% 0.59/0.77 (((v_A) = (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.59/0.77 inference('cnf', [status(esa)], [cls_Tarski_OA_A_61_61_Apset_Acl_0])).
% 0.59/0.77 thf(zip_derived_cl22, plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_A @ t_a))
% 0.59/0.77 <= (( (c_in @ v_xa @
% 0.59/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 t_a)))),
% 0.59/0.77 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl7])).
% 0.59/0.77 thf('8', plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_A @ t_a)) |
% 0.59/0.77 ~
% 0.59/0.77 ( (c_in @ v_xa @
% 0.59/0.77 (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @ t_a))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl22])).
% 0.59/0.77 thf(zip_derived_cl11, plain,
% 0.59/0.77 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.59/0.77 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.59/0.77 thf(zip_derived_cl12, plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))
% 0.59/0.77 <= ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @
% 0.59/0.77 tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.59/0.77 thf(zip_derived_cl25, plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))
% 0.59/0.77 <= ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @
% 0.59/0.77 tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl12])).
% 0.59/0.77 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,
% 0.59/0.77 (( ~( c_in @ V_L @ v_A @ t_a ) ) |
% 0.59/0.77 ( ~( c_in @
% 0.59/0.77 ( c_Pair @ ( v_sko__4mP @ V_L @ V_S @ v_r ) @ V_L @ t_a @ t_a ) @
% 0.59/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 0.59/0.77 ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) |
% 0.59/0.77 ( c_in @
% 0.59/0.77 ( c_Pair @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ V_L @ t_a @ t_a ) @
% 0.59/0.77 v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 0.59/0.77 thf(zip_derived_cl9, plain,
% 0.59/0.77 (![X0 : $i, X1 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_A @ t_a)
% 0.59/0.77 | ~ (c_in @
% 0.59/0.77 (c_Pair @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X0 @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('cnf', [status(esa)],
% 0.59/0.77 [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])).
% 0.59/0.77 thf(zip_derived_cl52, plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a)
% 0.59/0.77 | ~ (c_in @ v_xa @ v_A @ t_a)
% 0.59/0.77 | ~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))))
% 0.59/0.77 <= ((![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @
% 0.59/0.77 tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl9])).
% 0.59/0.77 thf('9', plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a))) |
% 0.59/0.77 ~ ( (c_in @ v_xa @ v_A @ t_a)) |
% 0.59/0.77 ~
% 0.59/0.77 (![X0 : $i]:
% 0.59/0.77 (~ (c_in @ X0 @ v_S @ t_a)
% 0.59/0.77 | (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl52])).
% 0.59/0.77 thf(zip_derived_cl58, plain,
% 0.59/0.77 ((![X0 : $i]:
% 0.59/0.77 (~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a)))
% 0.59/0.77 <= ((![X0 : $i]:
% 0.59/0.77 (~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @
% 0.59/0.77 t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a))))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl52])).
% 0.59/0.77 thf(zip_derived_cl27, plain,
% 0.59/0.77 ((~ (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a)))
% 0.59/0.77 <= (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a))))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl16])).
% 0.59/0.77 thf('10', plain,
% 0.59/0.77 (( (c_in @ v_xa @ v_S @ t_a)) |
% 0.59/0.77 ~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.59/0.77 thf('11', plain,
% 0.59/0.77 (~
% 0.59/0.77 ( (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.59/0.77 (tc_prod @ t_a @ t_a)))),
% 0.59/0.77 inference('sat_resolution*', [status(thm)], ['10', '3', '6'])).
% 0.59/0.77 thf(zip_derived_cl45, plain,
% 0.59/0.77 (~ (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))),
% 0.59/0.77 inference('simpl_trail', [status(thm)], [zip_derived_cl27, '11'])).
% 0.59/0.77 thf(zip_derived_cl60, plain,
% 0.59/0.77 (((~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)
% 0.59/0.77 | ~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))))
% 0.59/0.77 <= ((![X0 : $i]:
% 0.59/0.77 (~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @
% 0.59/0.77 t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a))))),
% 0.59/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl45])).
% 0.59/0.77 thf(zip_derived_cl0, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 0.59/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.77 thf(zip_derived_cl61, plain,
% 0.59/0.77 ((~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))
% 0.59/0.77 <= ((![X0 : $i]:
% 0.59/0.77 (~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @
% 0.59/0.77 t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a))))),
% 0.59/0.77 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 0.59/0.77 thf(zip_derived_cl40, plain,
% 0.59/0.77 (( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))
% 0.59/0.77 <= (( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)))),
% 0.59/0.77 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.59/0.77 thf('12', plain,
% 0.59/0.77 (~
% 0.59/0.77 (![X0 : $i]:
% 0.59/0.77 (~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 0.59/0.77 | (c_in @
% 0.59/0.77 (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @
% 0.59/0.77 v_r @ (tc_prod @ t_a @ t_a))
% 0.59/0.77 | ~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a))) |
% 0.59/0.77 ~ ( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 0.59/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl40])).
% 0.59/0.77 thf(zip_derived_cl64, plain, ($false),
% 0.59/0.77 inference('sat_resolution*', [status(thm)],
% 0.59/0.77 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '12'])).
% 0.59/0.77
% 0.59/0.77 % SZS output end Refutation
% 0.59/0.77
% 0.59/0.77
% 0.59/0.77 % Terminating...
% 1.81/0.87 % Runner terminated.
% 1.81/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------