TSTP Solution File: PUZ062-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ062-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Eho8ZQF0k7 true
% Computer : n003.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 13:30:54 EDT 2023
% Result : Unsatisfiable 0.67s 0.78s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ062-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Eho8ZQF0k7 true
% 0.14/0.35 % Computer : n003.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 22:22:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.67/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.67/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.67/0.78 % Solved by fo/fo6_bce.sh.
% 0.67/0.78 % BCE start: 13
% 0.67/0.78 % BCE eliminated: 0
% 0.67/0.78 % PE start: 13
% 0.67/0.78 logic: eq
% 0.67/0.78 % PE eliminated: 0
% 0.67/0.78 % done 30 iterations in 0.027s
% 0.67/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.67/0.78 % SZS output start Refutation
% 0.67/0.78 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.67/0.78 thf(tc_set_type, type, tc_set: $i > $i).
% 0.67/0.78 thf(c_Finite__Set_OFinites_type, type, c_Finite__Set_OFinites: $i).
% 0.67/0.78 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.67/0.78 thf(c_Mutil_Odomino_type, type, c_Mutil_Odomino: $i).
% 0.67/0.78 thf(v_j_type, type, v_j: $i).
% 0.67/0.78 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 0.67/0.78 thf(v_n_type, type, v_n: $i).
% 0.67/0.78 thf(c_emptyset_type, type, c_emptyset: $i).
% 0.67/0.78 thf(c_inter_type, type, c_inter: $i > $i > $i > $i).
% 0.67/0.78 thf(v_a_type, type, v_a: $i).
% 0.67/0.78 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.67/0.78 thf(v_m_type, type, v_m: $i).
% 0.67/0.78 thf(c_Mutil_Ocoloured_type, type, c_Mutil_Ocoloured: $i > $i).
% 0.67/0.78 thf(c_0_type, type, c_0: $i).
% 0.67/0.78 thf(v_i_type, type, v_i: $i).
% 0.67/0.78 thf(c_Mutil_Otiling_type, type, c_Mutil_Otiling: $i > $i > $i).
% 0.67/0.78 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.67/0.78 thf(v_t_type, type, v_t: $i).
% 0.67/0.78 thf(c_Suc_type, type, c_Suc: $i > $i).
% 0.67/0.78 thf(tc_nat_type, type, tc_nat: $i).
% 0.67/0.78 thf(cls_Finite__Set_Ofinite__Int_1, axiom,
% 0.67/0.78 (( ~( c_in @ V_G @ c_Finite__Set_OFinites @ ( tc_set @ T_a ) ) ) |
% 0.67/0.78 ( c_in @
% 0.67/0.78 ( c_inter @ V_F @ V_G @ T_a ) @ c_Finite__Set_OFinites @
% 0.67/0.78 ( tc_set @ T_a ) ))).
% 0.67/0.78 thf(zip_derived_cl1, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ c_Finite__Set_OFinites @ (tc_set @ X1))
% 0.67/0.78 | (c_in @ (c_inter @ X2 @ X0 @ X1) @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ X1)))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Finite__Set_Ofinite__Int_1])).
% 0.67/0.78 thf(cls_Finite__Set_Ocard__insert__disjoint_0, axiom,
% 0.67/0.78 (( ~( c_in @ V_A @ c_Finite__Set_OFinites @ ( tc_set @ T_a ) ) ) |
% 0.67/0.78 ( c_in @ V_x @ V_A @ T_a ) |
% 0.67/0.78 ( ( c_Finite__Set_Ocard @ ( c_insert @ V_x @ V_A @ T_a ) @ T_a ) =
% 0.67/0.78 ( c_Suc @ ( c_Finite__Set_Ocard @ V_A @ T_a ) ) ))).
% 0.67/0.78 thf(zip_derived_cl0, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ c_Finite__Set_OFinites @ (tc_set @ X1))
% 0.67/0.78 | (c_in @ X2 @ X0 @ X1)
% 0.67/0.78 | ((c_Finite__Set_Ocard @ (c_insert @ X2 @ X0 @ X1) @ X1)
% 0.67/0.78 = (c_Suc @ (c_Finite__Set_Ocard @ X0 @ X1))))),
% 0.67/0.78 inference('cnf', [status(esa)],
% 0.67/0.78 [cls_Finite__Set_Ocard__insert__disjoint_0])).
% 0.67/0.78 thf(zip_derived_cl1, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ c_Finite__Set_OFinites @ (tc_set @ X1))
% 0.67/0.78 | (c_in @ (c_inter @ X2 @ X0 @ X1) @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ X1)))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Finite__Set_Ofinite__Int_1])).
% 0.67/0.78 thf(zip_derived_cl0, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ c_Finite__Set_OFinites @ (tc_set @ X1))
% 0.67/0.78 | (c_in @ X2 @ X0 @ X1)
% 0.67/0.78 | ((c_Finite__Set_Ocard @ (c_insert @ X2 @ X0 @ X1) @ X1)
% 0.67/0.78 = (c_Suc @ (c_Finite__Set_Ocard @ X0 @ X1))))),
% 0.67/0.78 inference('cnf', [status(esa)],
% 0.67/0.78 [cls_Finite__Set_Ocard__insert__disjoint_0])).
% 0.67/0.78 thf(cls_conjecture_5, conjecture,
% 0.67/0.78 (( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_i @ v_j @ tc_nat @ tc_nat ) @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ c_0 ) @ v_t @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) =
% 0.67/0.78 ( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_m @ v_n @ tc_nat @ tc_nat ) @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ ( c_Suc @ c_0 ) ) @ v_t @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ))).
% 0.67/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.67/0.78 (( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_i @ v_j @ tc_nat @ tc_nat ) @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ c_0 ) @ v_t @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) !=
% 0.67/0.78 ( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_m @ v_n @ tc_nat @ tc_nat ) @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ ( c_Suc @ c_0 ) ) @ v_t @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.67/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.67/0.78 thf(zip_derived_cl12, plain,
% 0.67/0.78 (((c_Finite__Set_Ocard @
% 0.67/0.78 (c_insert @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 != (c_Finite__Set_Ocard @
% 0.67/0.78 (c_insert @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.78 thf(zip_derived_cl56, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 c_Finite__Set_OFinites @ (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | ((c_Finite__Set_Ocard @
% 0.67/0.78 (c_insert @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 != (c_Suc @
% 0.67/0.78 (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 0.67/0.78 thf(cls_conjecture_1, conjecture,
% 0.67/0.78 (( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ c_0 ) @ v_t @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) !=
% 0.67/0.78 ( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ ( c_Suc @ c_0 ) ) @ v_t @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ))).
% 0.67/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.67/0.78 (( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ c_0 ) @ v_t @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) =
% 0.67/0.78 ( c_Finite__Set_Ocard @
% 0.67/0.78 ( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ ( c_Suc @ c_0 ) ) @ v_t @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.67/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.67/0.78 thf(zip_derived_cl8, plain,
% 0.67/0.78 (((c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 = (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.78 thf(zip_derived_cl57, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 c_Finite__Set_OFinites @ (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | ((c_Finite__Set_Ocard @
% 0.67/0.78 (c_insert @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 != (c_Suc @
% 0.67/0.78 (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))))),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl8])).
% 0.67/0.78 thf(zip_derived_cl60, plain,
% 0.67/0.78 ((~ (c_in @ v_t @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ((c_Finite__Set_Ocard @
% 0.67/0.78 (c_insert @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 != (c_Suc @
% 0.67/0.78 (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl57])).
% 0.67/0.78 thf(cls_conjecture_0, conjecture,
% 0.67/0.78 (~( c_in @
% 0.67/0.78 v_t @
% 0.67/0.78 ( c_Mutil_Otiling @ c_Mutil_Odomino @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_set @ ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 0.67/0.78 thf(zf_stmt_2, negated_conjecture,
% 0.67/0.78 (c_in @
% 0.67/0.78 v_t @
% 0.67/0.78 ( c_Mutil_Otiling @ c_Mutil_Odomino @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_set @ ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.67/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.67/0.78 thf(zip_derived_cl7, plain,
% 0.67/0.78 ( (c_in @ v_t @
% 0.67/0.78 (c_Mutil_Otiling @ c_Mutil_Odomino @ (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.78 thf(cls_Mutil_Otiling__domino__finite_0, axiom,
% 0.67/0.78 (( ~( c_in @
% 0.67/0.78 V_t @
% 0.67/0.78 ( c_Mutil_Otiling @ c_Mutil_Odomino @ ( tc_prod @ tc_nat @ tc_nat ) ) @
% 0.67/0.78 ( tc_set @ ( tc_prod @ tc_nat @ tc_nat ) ) ) ) |
% 0.67/0.78 ( c_in @
% 0.67/0.78 V_t @ c_Finite__Set_OFinites @
% 0.67/0.78 ( tc_set @ ( tc_prod @ tc_nat @ tc_nat ) ) ))).
% 0.67/0.78 thf(zip_derived_cl2, plain,
% 0.67/0.78 (![X0 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @
% 0.67/0.78 (c_Mutil_Otiling @ c_Mutil_Odomino @ (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | (c_in @ X0 @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat))))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Mutil_Otiling__domino__finite_0])).
% 0.67/0.78 thf(zip_derived_cl53, plain,
% 0.67/0.78 ( (c_in @ v_t @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.67/0.78 thf(zip_derived_cl61, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ((c_Finite__Set_Ocard @
% 0.67/0.78 (c_insert @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 != (c_Suc @
% 0.67/0.78 (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))))),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl53])).
% 0.67/0.78 thf(zip_derived_cl62, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 c_Finite__Set_OFinites @ (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ((c_Suc @
% 0.67/0.78 (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 != (c_Suc @
% 0.67/0.78 (c_Finite__Set_Ocard @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl61])).
% 0.67/0.78 thf(zip_derived_cl63, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 c_Finite__Set_OFinites @ (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('simplify', [status(thm)], [zip_derived_cl62])).
% 0.67/0.78 thf(zip_derived_cl64, plain,
% 0.67/0.78 ((~ (c_in @ v_t @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat)))
% 0.67/0.78 | (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl63])).
% 0.67/0.78 thf(zip_derived_cl53, plain,
% 0.67/0.78 ( (c_in @ v_t @ c_Finite__Set_OFinites @
% 0.67/0.78 (tc_set @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.67/0.78 thf(zip_derived_cl65, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl53])).
% 0.67/0.78 thf(cls_Set_OInt__iff_1, axiom,
% 0.67/0.78 (( ~( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.67/0.78 ( c_in @ V_c @ V_B @ T_a ))).
% 0.67/0.78 thf(zip_derived_cl3, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.67/0.78 | (c_in @ X0 @ X2 @ X3))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_OInt__iff_1])).
% 0.67/0.78 thf(zip_derived_cl67, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl3])).
% 0.67/0.78 thf(zip_derived_cl3, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.67/0.78 | (c_in @ X0 @ X2 @ X3))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_OInt__iff_1])).
% 0.67/0.78 thf(zip_derived_cl68, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl3])).
% 0.67/0.78 thf(cls_conjecture_2, conjecture,
% 0.67/0.78 (( c_inter @ v_a @ v_t @ ( tc_prod @ tc_nat @ tc_nat ) ) != ( c_emptyset ))).
% 0.67/0.78 thf(zf_stmt_3, negated_conjecture,
% 0.67/0.78 (( c_inter @ v_a @ v_t @ ( tc_prod @ tc_nat @ tc_nat ) ) = ( c_emptyset )),
% 0.67/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.67/0.78 thf(zip_derived_cl9, plain,
% 0.67/0.78 (((c_inter @ v_a @ v_t @ (tc_prod @ tc_nat @ tc_nat)) = (c_emptyset))),
% 0.67/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.78 thf(cls_Set_OInt__iff_2, axiom,
% 0.67/0.78 (( ~( c_in @ V_c @ V_B @ T_a ) ) | ( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.67/0.78 ( c_in @ V_c @ ( c_inter @ V_A @ V_B @ T_a ) @ T_a ))).
% 0.67/0.78 thf(zip_derived_cl4, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ X1 @ X2)
% 0.67/0.78 | ~ (c_in @ X0 @ X3 @ X2)
% 0.67/0.78 | (c_in @ X0 @ (c_inter @ X3 @ X1 @ X2) @ X2))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_OInt__iff_2])).
% 0.67/0.78 thf(zip_derived_cl51, plain,
% 0.67/0.78 (![X0 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ v_t @ (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @ X0 @ v_a @ (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | (c_in @ X0 @ c_emptyset @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.67/0.78 thf(cls_Set_Oempty__iff_0, axiom, (~( c_in @ V_c @ c_emptyset @ T_a ))).
% 0.67/0.78 thf(zip_derived_cl6, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i]: ~ (c_in @ X0 @ c_emptyset @ X1)),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_Oempty__iff_0])).
% 0.67/0.78 thf(zip_derived_cl52, plain,
% 0.67/0.78 (![X0 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ v_t @ (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @ X0 @ v_a @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl6])).
% 0.67/0.78 thf(zip_derived_cl69, plain,
% 0.67/0.78 (( (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl52])).
% 0.67/0.78 thf(cls_Set_Oinsert__iff_1, axiom,
% 0.67/0.78 (c_in @ V_x @ ( c_insert @ V_x @ V_A @ T_a ) @ T_a)).
% 0.67/0.78 thf(zip_derived_cl5, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.78 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_1])).
% 0.67/0.78 thf(cls_conjecture_4, conjecture,
% 0.67/0.78 (( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ ( c_Suc @ c_0 ) ) @ v_a @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) !=
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_m @ v_n @ tc_nat @ tc_nat ) @ c_emptyset @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ))).
% 0.67/0.78 thf(zf_stmt_4, negated_conjecture,
% 0.67/0.78 (( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ ( c_Suc @ c_0 ) ) @ v_a @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ) =
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_m @ v_n @ tc_nat @ tc_nat ) @ c_emptyset @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.67/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.67/0.78 thf(zip_derived_cl11, plain,
% 0.67/0.78 (((c_inter @ (c_Mutil_Ocoloured @ (c_Suc @ c_0)) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 = (c_insert @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @ c_emptyset @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.78 thf(zip_derived_cl3, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.67/0.78 | (c_in @ X0 @ X2 @ X3))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_OInt__iff_1])).
% 0.67/0.78 thf(zip_derived_cl46, plain,
% 0.67/0.78 (![X0 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @
% 0.67/0.78 (c_insert @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @ c_emptyset @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | (c_in @ X0 @ v_a @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 0.67/0.78 thf(zip_derived_cl59, plain,
% 0.67/0.78 ( (c_in @ (c_Pair @ v_m @ v_n @ tc_nat @ tc_nat) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl46])).
% 0.67/0.78 thf(zip_derived_cl70, plain,
% 0.67/0.78 ( (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @ v_t @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl59])).
% 0.67/0.78 thf(zip_derived_cl52, plain,
% 0.67/0.78 (![X0 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ v_t @ (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 | ~ (c_in @ X0 @ v_a @ (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl6])).
% 0.67/0.78 thf(zip_derived_cl71, plain,
% 0.67/0.78 (~ (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl52])).
% 0.67/0.78 thf(cls_conjecture_3, conjecture,
% 0.67/0.78 (( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ c_0 ) @ v_a @ ( tc_prod @ tc_nat @ tc_nat ) ) !=
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_i @ v_j @ tc_nat @ tc_nat ) @ c_emptyset @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) ))).
% 0.67/0.78 thf(zf_stmt_5, negated_conjecture,
% 0.67/0.78 (( c_inter @
% 0.67/0.78 ( c_Mutil_Ocoloured @ c_0 ) @ v_a @ ( tc_prod @ tc_nat @ tc_nat ) ) =
% 0.67/0.78 ( c_insert @
% 0.67/0.78 ( c_Pair @ v_i @ v_j @ tc_nat @ tc_nat ) @ c_emptyset @
% 0.67/0.78 ( tc_prod @ tc_nat @ tc_nat ) )),
% 0.67/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.67/0.78 thf(zip_derived_cl10, plain,
% 0.67/0.78 (((c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))
% 0.67/0.78 = (c_insert @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @ c_emptyset @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)))),
% 0.67/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.67/0.78 thf(zip_derived_cl5, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.78 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_Oinsert__iff_1])).
% 0.67/0.78 thf(zip_derived_cl42, plain,
% 0.67/0.78 ( (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @
% 0.67/0.78 (c_inter @ (c_Mutil_Ocoloured @ c_0) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat)) @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))),
% 0.67/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 0.67/0.78 thf(zip_derived_cl3, plain,
% 0.67/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.67/0.78 (~ (c_in @ X0 @ (c_inter @ X1 @ X2 @ X3) @ X3)
% 0.67/0.78 | (c_in @ X0 @ X2 @ X3))),
% 0.67/0.78 inference('cnf', [status(esa)], [cls_Set_OInt__iff_1])).
% 0.67/0.78 thf(zip_derived_cl54, plain,
% 0.67/0.78 ( (c_in @ (c_Pair @ v_i @ v_j @ tc_nat @ tc_nat) @ v_a @
% 0.67/0.78 (tc_prod @ tc_nat @ tc_nat))),
% 0.67/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 0.67/0.78 thf(zip_derived_cl72, plain, ($false),
% 0.67/0.78 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl54])).
% 0.67/0.78
% 0.67/0.78 % SZS output end Refutation
% 0.67/0.78
% 0.67/0.78
% 0.67/0.78 % Terminating...
% 1.47/0.85 % Runner terminated.
% 1.47/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------