TSTP Solution File: SYN409+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN409+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 23:55:12 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN409+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.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 : Mon Sep 5 03:25:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(f_type, type, (
% 0.13/0.39 f: $i > $o)).
% 0.13/0.39 tff(tptp_fun_Z_1_type, type, (
% 0.13/0.39 tptp_fun_Z_1: $i)).
% 0.13/0.39 tff(tptp_fun_Y_2_type, type, (
% 0.13/0.39 tptp_fun_Y_2: $i)).
% 0.13/0.39 tff(tptp_fun_X_0_type, type, (
% 0.13/0.39 tptp_fun_X_0: $i)).
% 0.13/0.39 tff(1,assumption,(~f(Y!2)), introduced(assumption)).
% 0.13/0.39 tff(2,assumption,(![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))), introduced(assumption)).
% 0.13/0.39 tff(3,assumption,((~f(X!0)) | (~f(Y!2))), introduced(assumption)).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Y!2))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Y!2)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 ((~((~f(Y!2)) | (~f(X!0)))) <=> (~((~f(X!0)) | (~f(Y!2))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(Y!2)) | (~f(X!0))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Y!2)))))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[5])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(Y!2)) | (~f(X!0))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Y!2)))))),
% 0.13/0.39 inference(transitivity,[status(thm)],[6, 4])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(Y!2)) | (~f(X!0))))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Y!2))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[9, 2, 3])).
% 0.13/0.39 tff(11,plain,((~((~f(X!0)) | (~f(Y!2)))) | (~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z)))))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (~((~f(X!0)) | (~f(Y!2)))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[11, 2])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (((~f(X!0)) | (~f(Y!2))) | f(Y!2)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (f(Y!2)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.13/0.39 tff(15,assumption,(~f(X!0)), introduced(assumption)).
% 0.13/0.39 tff(16,assumption,(![X: $i] : f(X)), introduced(assumption)).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 ((~![X: $i] : f(X)) | f(X!0)),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[17, 16, 15])).
% 0.13/0.39 tff(19,plain,((~![X: $i] : f(X)) | f(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 (~![X: $i] : f(X)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[19, 15])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 ((![X: $i] : f(X) | ![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) <=> (![X: $i] : f(X) | ![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 ((![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))) <=> (![X: $i] : f(X) | ![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 ((![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))) <=> (![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 (((![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))) & ((~f(X!0)) | (~(f(Y!2) & f(Z!1))))) <=> ((![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))) & ((~f(X!0)) | (~(f(Y!2) & f(Z!1)))))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[23])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 (((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))) <=> ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(26,plain,
% 0.13/0.39 ((~(![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))) <=> ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 ((![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))) <=> (![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 ((~(![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))) <=> (~(![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[27])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 ((~(![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))) <=> ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))),
% 0.13/0.40 inference(transitivity,[status(thm)],[28, 26])).
% 0.13/0.40 tff(30,axiom,(~(![X: $i] : f(X) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','kalish246')).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[31, 25])).
% 0.13/0.40 tff(33,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[33, 25])).
% 0.13/0.40 tff(35,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[34, 25])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) <=> ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[36, 25])).
% 0.13/0.40 tff(38,plain,(
% 0.13/0.40 (![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))) & ((~f(X!0)) | (~(f(Y!2) & f(Z!1))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[37])).
% 0.13/0.40 tff(39,plain,
% 0.13/0.40 ((![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))) & ((~f(X!0)) | (~(f(Y!2) & f(Z!1))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[38, 24])).
% 0.13/0.40 tff(40,plain,
% 0.13/0.40 (![X: $i] : f(X) | ![Y: $i, Z: $i] : (f(Y) & f(Z))),
% 0.13/0.40 inference(and_elim,[status(thm)],[39])).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (![X: $i] : f(X) | ![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[40, 22])).
% 0.13/0.40 tff(42,plain,
% 0.13/0.40 (![X: $i] : f(X) | ![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[41, 21])).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 (![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[42, 20])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | f(X!0)) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | f(X!0))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 ((~(~f(X!0))) <=> f(X!0)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 (((~f(X!0)) | (~f(X!0))) <=> (~f(X!0))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(47,plain,
% 0.13/0.40 ((~((~f(X!0)) | (~f(X!0)))) <=> (~(~f(X!0)))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[46])).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 ((~((~f(X!0)) | (~f(X!0)))) <=> f(X!0)),
% 0.13/0.40 inference(transitivity,[status(thm)],[47, 45])).
% 0.13/0.40 tff(49,plain,
% 0.13/0.40 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(X!0))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | f(X!0))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[48])).
% 0.13/0.40 tff(50,plain,
% 0.13/0.40 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(X!0))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | f(X!0))),
% 0.13/0.40 inference(transitivity,[status(thm)],[49, 44])).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(X!0))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | f(X!0)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.13/0.40 tff(53,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[52, 43, 15])).
% 0.13/0.40 tff(54,plain,(f(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(55,plain,
% 0.13/0.40 (((~f(X!0)) | ((~f(Y!2)) | (~f(Z!1)))) <=> ((~f(X!0)) | (~f(Y!2)) | (~f(Z!1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(56,plain,
% 0.13/0.40 ((~(~((~f(Y!2)) | (~f(Z!1))))) <=> ((~f(Y!2)) | (~f(Z!1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(57,plain,
% 0.13/0.40 ((f(Y!2) & f(Z!1)) <=> (~((~f(Y!2)) | (~f(Z!1))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(58,plain,
% 0.13/0.40 ((~(f(Y!2) & f(Z!1))) <=> (~(~((~f(Y!2)) | (~f(Z!1)))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[57])).
% 0.13/0.40 tff(59,plain,
% 0.13/0.40 ((~(f(Y!2) & f(Z!1))) <=> ((~f(Y!2)) | (~f(Z!1)))),
% 0.13/0.40 inference(transitivity,[status(thm)],[58, 56])).
% 0.13/0.40 tff(60,plain,
% 0.13/0.40 (((~f(X!0)) | (~(f(Y!2) & f(Z!1)))) <=> ((~f(X!0)) | ((~f(Y!2)) | (~f(Z!1))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[59])).
% 0.13/0.40 tff(61,plain,
% 0.13/0.40 (((~f(X!0)) | (~(f(Y!2) & f(Z!1)))) <=> ((~f(X!0)) | (~f(Y!2)) | (~f(Z!1)))),
% 0.13/0.40 inference(transitivity,[status(thm)],[60, 55])).
% 0.13/0.40 tff(62,plain,
% 0.13/0.40 ((~f(X!0)) | (~(f(Y!2) & f(Z!1)))),
% 0.13/0.40 inference(and_elim,[status(thm)],[39])).
% 0.13/0.40 tff(63,plain,
% 0.13/0.40 ((~f(X!0)) | (~f(Y!2)) | (~f(Z!1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.13/0.40 tff(64,plain,
% 0.13/0.40 ((~f(Y!2)) | (~f(Z!1))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[63, 54])).
% 0.13/0.40 tff(65,plain,
% 0.13/0.40 (~f(Z!1)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[64, 14])).
% 0.13/0.40 tff(66,plain,
% 0.13/0.40 (((~f(X!0)) | (~f(Z!1))) | f(Z!1)),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(67,plain,
% 0.13/0.40 ((~f(X!0)) | (~f(Z!1))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.13/0.40 tff(68,plain,
% 0.13/0.40 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Z!1))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Z!1)))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(69,plain,
% 0.13/0.40 ((~((~f(Z!1)) | (~f(X!0)))) <=> (~((~f(X!0)) | (~f(Z!1))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(70,plain,
% 0.13/0.40 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(Z!1)) | (~f(X!0))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Z!1)))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[69])).
% 0.13/0.40 tff(71,plain,
% 0.13/0.40 (((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(Z!1)) | (~f(X!0))))) <=> ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Z!1)))))),
% 0.13/0.40 inference(transitivity,[status(thm)],[70, 68])).
% 0.13/0.40 tff(72,plain,
% 0.13/0.40 ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(Z!1)) | (~f(X!0))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(73,plain,
% 0.13/0.40 ((~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))) | (~((~f(X!0)) | (~f(Z!1))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.13/0.40 tff(74,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[73, 2, 67])).
% 0.13/0.40 tff(75,plain,(~![Y: $i, Z: $i] : (~((~f(Y)) | (~f(Z))))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(76,plain,
% 0.13/0.40 (![X: $i] : f(X)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[42, 75])).
% 0.13/0.40 tff(77,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) | f(Y!2)),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(78,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[77, 76, 1])).
% 0.13/0.40 tff(79,plain,(f(Y!2)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(80,plain,
% 0.13/0.40 (~f(Z!1)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[64, 79])).
% 0.13/0.40 tff(81,plain,
% 0.13/0.40 ((~![X: $i] : f(X)) | f(Z!1)),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(82,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[81, 76, 80])).
% 0.13/0.40 % SZS output end Proof
%------------------------------------------------------------------------------