TSTP Solution File: SWW962+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 Sep 29 21:00:24 EDT 2022
% Result : Theorem 2.77s 2.00s
% Output : Proof 2.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n006.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 : Mon Sep 5 00:33:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 2.77/2.00 % SZS status Theorem
% 2.77/2.00 % SZS output start Proof
% 2.77/2.00 tff(tuple_assoc_pair_type, type, (
% 2.77/2.00 tuple_assoc_pair: ( $i * $i ) > $i)).
% 2.77/2.00 tff(name_skA_type, type, (
% 2.77/2.00 name_skA: $i)).
% 2.77/2.00 tff(constr_CONST_0x30_type, type, (
% 2.77/2.00 constr_CONST_0x30: $i)).
% 2.77/2.00 tff(constr_assoc_pair_2_get_0x30_type, type, (
% 2.77/2.00 constr_assoc_pair_2_get_0x30: $i > $i)).
% 2.77/2.00 tff(constr_CONST_3_type, type, (
% 2.77/2.00 constr_CONST_3: $i)).
% 2.77/2.00 tff(constr_assoc_pair_2_get_1_type, type, (
% 2.77/2.00 constr_assoc_pair_2_get_1: $i > $i)).
% 2.77/2.00 tff(1,plain,
% 2.77/2.00 (^[VAR_X0X30_11: $i, VAR_X1_12: $i] : refl((constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12) <=> (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12))),
% 2.77/2.00 inference(bind,[status(th)],[])).
% 2.77/2.00 tff(2,plain,
% 2.77/2.00 (![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12) <=> ![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)),
% 2.77/2.00 inference(quant_intro,[status(thm)],[1])).
% 2.77/2.00 tff(3,plain,
% 2.77/2.00 (![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12) <=> ![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)),
% 2.77/2.00 inference(rewrite,[status(thm)],[])).
% 2.77/2.00 tff(4,axiom,(![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax85')).
% 2.77/2.00 tff(5,plain,
% 2.77/2.00 (![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[4, 3])).
% 2.77/2.00 tff(6,plain,(
% 2.77/2.00 ![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)),
% 2.77/2.00 inference(skolemize,[status(sab)],[5])).
% 2.77/2.00 tff(7,plain,
% 2.77/2.00 (![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[6, 2])).
% 2.77/2.00 tff(8,plain,
% 2.77/2.00 ((~![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)) | (constr_assoc_pair_2_get_1(tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA)) = name_skA)),
% 2.77/2.00 inference(quant_inst,[status(thm)],[])).
% 2.77/2.00 tff(9,plain,
% 2.77/2.00 (constr_assoc_pair_2_get_1(tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA)) = name_skA),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[8, 7])).
% 2.77/2.00 tff(10,plain,
% 2.77/2.00 (^[VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : refl((tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30)) <=> (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30)))),
% 2.77/2.00 inference(bind,[status(th)],[])).
% 2.77/2.00 tff(11,plain,
% 2.77/2.00 (![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30)) <=> ![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))),
% 2.77/2.00 inference(quant_intro,[status(thm)],[10])).
% 2.77/2.00 tff(12,plain,
% 2.77/2.00 (![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30)) <=> ![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))),
% 2.77/2.00 inference(rewrite,[status(thm)],[])).
% 2.77/2.00 tff(13,axiom,(![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax82')).
% 2.77/2.00 tff(14,plain,
% 2.77/2.00 (![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[13, 12])).
% 2.77/2.00 tff(15,plain,(
% 2.77/2.00 ![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))),
% 2.77/2.00 inference(skolemize,[status(sab)],[14])).
% 2.77/2.00 tff(16,plain,
% 2.77/2.00 (![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[15, 11])).
% 2.77/2.00 tff(17,plain,
% 2.77/2.00 ((~![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))) | (tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA)) = tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA))),
% 2.77/2.00 inference(quant_inst,[status(thm)],[])).
% 2.77/2.00 tff(18,plain,
% 2.77/2.00 (tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA)) = tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA)),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[17, 16])).
% 2.77/2.00 tff(19,plain,
% 2.77/2.00 (tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA) = tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA))),
% 2.77/2.00 inference(symmetry,[status(thm)],[18])).
% 2.77/2.00 tff(20,plain,
% 2.77/2.00 (constr_assoc_pair_2_get_1(tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA)) = constr_assoc_pair_2_get_1(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA)))),
% 2.77/2.00 inference(monotonicity,[status(thm)],[19])).
% 2.77/2.00 tff(21,plain,
% 2.77/2.00 (constr_assoc_pair_2_get_1(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA))) = constr_assoc_pair_2_get_1(tuple_assoc_pair(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), constr_CONST_0x30), name_skA))),
% 2.77/2.00 inference(symmetry,[status(thm)],[20])).
% 2.77/2.00 tff(22,plain,
% 2.77/2.00 ((~![VAR_X0X30_11: $i, VAR_X1_12: $i] : (constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12)) = VAR_X1_12)) | (constr_assoc_pair_2_get_1(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA))) = tuple_assoc_pair(constr_CONST_0x30, name_skA))),
% 2.77/2.00 inference(quant_inst,[status(thm)],[])).
% 2.77/2.00 tff(23,plain,
% 2.77/2.00 (constr_assoc_pair_2_get_1(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA))) = tuple_assoc_pair(constr_CONST_0x30, name_skA)),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[22, 7])).
% 2.77/2.00 tff(24,plain,
% 2.77/2.00 (tuple_assoc_pair(constr_CONST_0x30, name_skA) = constr_assoc_pair_2_get_1(tuple_assoc_pair(constr_assoc_pair_2_get_0x30(constr_CONST_3), tuple_assoc_pair(constr_CONST_0x30, name_skA)))),
% 2.77/2.00 inference(symmetry,[status(thm)],[23])).
% 2.77/2.00 tff(25,assumption,(constr_assoc_pair_2_get_0x30(tuple_assoc_pair(tuple_assoc_pair(constr_CONST_0x30, name_skA), constr_assoc_pair_2_get_0x30(constr_CONST_3))) = tuple_assoc_pair(constr_CONST_0x30, name_skA)), introduced(assumption)).
% 2.77/2.00 tff(26,plain,
% 2.77/2.00 ((~![VAR_X_17: $i, VAR_Y_18: $i, VAR_Z_0X30: $i] : (tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30))) | (tuple_assoc_pair(constr_CONST_0x30, tuple_assoc_pair(name_skA, constr_assoc_pair_2_get_0x30(constr_CONST_3))) = tuple_assoc_pair(tuple_assoc_pair(constr_CONST_0x30, name_skA), constr_assoc_pair_2_get_0x30(constr_CONST_3)))),
% 2.77/2.00 inference(quant_inst,[status(thm)],[])).
% 2.77/2.00 tff(27,plain,
% 2.77/2.00 (tuple_assoc_pair(constr_CONST_0x30, tuple_assoc_pair(name_skA, constr_assoc_pair_2_get_0x30(constr_CONST_3))) = tuple_assoc_pair(tuple_assoc_pair(constr_CONST_0x30, name_skA), constr_assoc_pair_2_get_0x30(constr_CONST_3))),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[26, 16])).
% 2.77/2.00 tff(28,plain,
% 2.77/2.00 (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(constr_CONST_0x30, tuple_assoc_pair(name_skA, constr_assoc_pair_2_get_0x30(constr_CONST_3)))) = constr_assoc_pair_2_get_0x30(tuple_assoc_pair(tuple_assoc_pair(constr_CONST_0x30, name_skA), constr_assoc_pair_2_get_0x30(constr_CONST_3)))),
% 2.77/2.00 inference(monotonicity,[status(thm)],[27])).
% 2.77/2.00 tff(29,plain,
% 2.77/2.00 (^[VAR_X0X30_9: $i, VAR_X1_10X30: $i] : refl((constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9) <=> (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9))),
% 2.77/2.00 inference(bind,[status(th)],[])).
% 2.77/2.00 tff(30,plain,
% 2.77/2.00 (![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9) <=> ![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)),
% 2.77/2.00 inference(quant_intro,[status(thm)],[29])).
% 2.77/2.00 tff(31,plain,
% 2.77/2.00 (![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9) <=> ![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)),
% 2.77/2.00 inference(rewrite,[status(thm)],[])).
% 2.77/2.00 tff(32,axiom,(![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax86')).
% 2.77/2.00 tff(33,plain,
% 2.77/2.00 (![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[32, 31])).
% 2.77/2.00 tff(34,plain,(
% 2.77/2.00 ![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)),
% 2.77/2.00 inference(skolemize,[status(sab)],[33])).
% 2.77/2.00 tff(35,plain,
% 2.77/2.00 (![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[34, 30])).
% 2.77/2.00 tff(36,plain,
% 2.77/2.00 ((~![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)) | (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(constr_CONST_0x30, tuple_assoc_pair(name_skA, constr_assoc_pair_2_get_0x30(constr_CONST_3)))) = constr_CONST_0x30)),
% 2.77/2.00 inference(quant_inst,[status(thm)],[])).
% 2.77/2.00 tff(37,plain,
% 2.77/2.00 (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(constr_CONST_0x30, tuple_assoc_pair(name_skA, constr_assoc_pair_2_get_0x30(constr_CONST_3)))) = constr_CONST_0x30),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[36, 35])).
% 2.77/2.00 tff(38,plain,
% 2.77/2.00 (constr_CONST_0x30 = constr_assoc_pair_2_get_0x30(tuple_assoc_pair(constr_CONST_0x30, tuple_assoc_pair(name_skA, constr_assoc_pair_2_get_0x30(constr_CONST_3))))),
% 2.77/2.00 inference(symmetry,[status(thm)],[37])).
% 2.77/2.00 tff(39,plain,
% 2.77/2.00 (constr_CONST_0x30 = name_skA),
% 2.77/2.00 inference(transitivity,[status(thm)],[38, 28, 25, 24, 21, 9])).
% 2.77/2.00 tff(40,plain,
% 2.77/2.00 ((~(constr_CONST_0x30 = name_skA)) <=> (~(constr_CONST_0x30 = name_skA))),
% 2.77/2.00 inference(rewrite,[status(thm)],[])).
% 2.77/2.00 tff(41,axiom,(~(constr_CONST_0x30 = name_skA)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax9')).
% 2.77/2.00 tff(42,plain,
% 2.77/2.00 (~(constr_CONST_0x30 = name_skA)),
% 2.77/2.00 inference(modus_ponens,[status(thm)],[41, 40])).
% 2.77/2.00 tff(43,plain,
% 2.77/2.00 ($false),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[42, 39])).
% 2.77/2.00 tff(44,plain,(~(constr_assoc_pair_2_get_0x30(tuple_assoc_pair(tuple_assoc_pair(constr_CONST_0x30, name_skA), constr_assoc_pair_2_get_0x30(constr_CONST_3))) = tuple_assoc_pair(constr_CONST_0x30, name_skA))), inference(lemma,lemma(discharge,[]))).
% 2.77/2.00 tff(45,plain,
% 2.77/2.00 ((~![VAR_X0X30_9: $i, VAR_X1_10X30: $i] : (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9, VAR_X1_10X30)) = VAR_X0X30_9)) | (constr_assoc_pair_2_get_0x30(tuple_assoc_pair(tuple_assoc_pair(constr_CONST_0x30, name_skA), constr_assoc_pair_2_get_0x30(constr_CONST_3))) = tuple_assoc_pair(constr_CONST_0x30, name_skA))),
% 2.77/2.00 inference(quant_inst,[status(thm)],[])).
% 2.77/2.00 tff(46,plain,
% 2.77/2.00 ($false),
% 2.77/2.00 inference(unit_resolution,[status(thm)],[45, 35, 44])).
% 2.77/2.00 % SZS output end Proof
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